Details

analyze2.2s (3.9%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	98.1%	1.9%	7
0%	98.1%	1.9%	8
0%	97.8%	2.2%	9
0%	96.8%	3.2%	10
0%	96.3%	3.7%	11
0%	94.3%	5.7%	12
0.4%	92.1%	7.5%	13
0.6%	90.8%	8.6%	14

Compiler

Compiled 29 to 24 computations (17.2% saved)

sample105.0ms (0.2%)

Algorithm

1×

intervals

Results

42.0ms	443×	body	128	nan
23.0ms	256×	body	128	valid
3.0ms	41×	body	128	invalid

Compiler

Compiled 57 to 53 computations (7% saved)

simplify234.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

450×	`associate-/l*_binary64_364`
385×	`distribute-rgt-neg-out_binary64_379`
361×	`unsub-neg_binary64_413`
360×	`cancel-sign-sub-inv_binary64_385`
356×	`distribute-lft-neg-out_binary64_378`
323×	`distribute-neg-frac_binary64_383`
282×	`distribute-rgt-in_binary64_369`
276×	`distribute-lft-in_binary64_368`
264×	`associate-*r/_binary64_361`
259×	`associate-*l/_binary64_362`
237×	`distribute-rgt-neg-in_binary64_377`
214×	`associate-/r/_binary64_365`
208×	`times-frac_binary64_425`
195×	`distribute-lft-neg-in_binary64_376`
185×	`*-commutative_binary64_350`
151×	`neg-sub0_binary64_414`
145×	`neg-mul-1_binary64_415`
117×	`distribute-neg-in_binary64_380`
94×	`associate-/l/_binary64_366` `associate-r_binary64_359`
90×	`associate-l_binary64_360`
89×	`sub-neg_binary64_412`
84×	`distribute-neg-out_binary64_381`
37×	`associate-+r+_binary64_351`
34×	`remove-double-neg_binary64_407`
30×	`distribute-rgt-out_binary64_372` `distribute-lft-out_binary64_370`
29×	`associate-+l+_binary64_352`
27×	`div-sub_binary64_424`
23×	`mul0-rgt_binary64_402` `mul0-lft_binary64_401`
20×	`associate--r+_binary64_355`
19×	`+-commutative_binary64_349`
16×	`associate-+l-_binary64_354` `associate-+r-_binary64_353`
13×	`distribute-rgt-out--_binary64_373`
11×	`unswap-sqr_binary64_387` `distribute-lft-out--_binary64_371`
10×	`associate-/r*_binary64_363`
9×	`sub0-neg_binary64_406`
8×	`sqr-pow_binary64_391`
7×	`associate--l+_binary64_356`
6×	`+-rgt-identity_binary64_404` `associate--r-_binary64_358`
5×	`pow-plus_binary64_482` `associate--l-_binary64_357`
4×	`cube-unmult_binary64_456` `--rgt-identity_binary64_405` `pow-sqr_binary64_392`
3×	`/-rgt-identity_binary64_410`
2×	`div0_binary64_400` `swap-sqr_binary64_386` `distribute-rgt1-in_binary64_375`
1×	`unpow2_binary64_484` `unpow1_binary64_477` `div-exp_binary64_470` `rec-exp_binary64_469` `prod-exp_binary64_468` `1-exp_binary64_463` `-rgt-identity_binary64_409` `-inverses_binary64_399` `rgt-mult-inverse_binary64_396` `cancel-sign-sub_binary64_384` `distribute-frac-neg_binary64_382` `distribute-lft1-in_binary64_374` `count-2_binary64_367`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_682` `erf-erfc_binary64_681` `erf-odd_binary64_680` `if-if-and-not_binary64_679` `if-if-and_binary64_678` `if-if-or-not_binary64_677` `if-if-or_binary64_676` `if-not_binary64_675` `if-same_binary64_674` `if-false_binary64_673` `if-true_binary64_672` `not-gte_binary64_671` `not-lte_binary64_670` `not-gt_binary64_669` `not-lt_binary64_668` `gte-same_binary64_667` `lte-same_binary64_666` `gt-same_binary64_665` `lt-same_binary64_664` `sinh---cosh_binary64_611` `sinh-+-cosh_binary64_610` `sinh-cosh_binary64_609` `tanh-def-c_binary64_608` `tanh-def-b_binary64_607` `tanh-def-a_binary64_606` `cosh-def_binary64_605` `sinh-def_binary64_604` `tan-neg_binary64_551` `cos-neg_binary64_550` `sin-neg_binary64_549` `tan-0_binary64_548` `cos-0_binary64_547` `sin-0_binary64_546` `hang-m-tan_binary64_545` `hang-p-tan_binary64_544` `hang-m0-tan_binary64_543` `hang-p0-tan_binary64_542` `hang-0m-tan_binary64_541` `hang-0p-tan_binary64_540` `tan-+PI/2_binary64_539` `tan-+PI_binary64_538` `tan-PI_binary64_537` `tan-PI/3_binary64_536` `tan-PI/4_binary64_535` `tan-PI/6_binary64_534` `cos-+PI/2_binary64_533` `cos-+PI_binary64_532` `cos-PI_binary64_531` `cos-PI/2_binary64_530` `cos-PI/3_binary64_529` `cos-PI/4_binary64_528` `cos-PI/6_binary64_527` `sin-+PI/2_binary64_526` `sin-+PI_binary64_525` `sin-PI_binary64_524` `sin-PI/2_binary64_523` `sin-PI/3_binary64_522` `sin-PI/4_binary64_521` `sin-PI/6_binary64_520` `sub-1-sin_binary64_519` `sub-1-cos_binary64_518` `-1-add-sin_binary64_517` `-1-add-cos_binary64_516` `1-sub-sin_binary64_515` `1-sub-cos_binary64_514` `cos-sin-sum_binary64_513` `log-E_binary64_509` `log-pow_binary64_508` `log-rec_binary64_507` `log-div_binary64_506` `log-prod_binary64_505` `pow-base-0_binary64_503` `unpow1/3_binary64_486` `unpow3_binary64_485` `unpow1/2_binary64_483` `exp-to-pow_binary64_481` `pow-base-1_binary64_479` `unpow0_binary64_478` `unpow-1_binary64_476` `exp-lft-cube_binary64_475` `exp-lft-sqr_binary64_474` `exp-cbrt_binary64_473` `exp-sqrt_binary64_472` `exp-prod_binary64_471` `exp-diff_binary64_467` `exp-neg_binary64_466` `exp-sum_binary64_465` `e-exp-1_binary64_464` `exp-1-e_binary64_462` `exp-0_binary64_461` `rem-log-exp_binary64_460` `rem-exp-log_binary64_459` `cube-mult_binary64_449` `cube-div_binary64_448` `cube-prod_binary64_447` `cube-neg_binary64_446` `rem-3cbrt-rft_binary64_445` `rem-3cbrt-lft_binary64_444` `rem-cbrt-cube_binary64_443` `rem-cube-cbrt_binary64_442` `sqr-abs_binary64_434` `sqr-neg_binary64_433` `rem-sqrt-square_binary64_432` `rem-square-sqrt_binary64_431` `mul-1-neg_binary64_411` `*-lft-identity_binary64_408` `+-lft-identity_binary64_403` `+-inverses_binary64_398` `lft-mult-inverse_binary64_397` `remove-double-div_binary64_395` `difference-of-sqr--1_binary64_390` `difference-of-sqr-1_binary64_389` `difference-of-squares_binary64_388`

Counts

1 → 5

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	22	42
1	56	42
2	187	42
3	740	39
4	2746	39

prune17.0ms (0%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	2	3	5
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	2	4	6

Error

26.7b

Counts

6 → 4

Compiler

Compiled 244 to 162 computations (33.6% saved)

localize17.0ms (0%)

Local error

Found 4 expressions with local error:

6.3b	(.f64 (-.f64 U U) (*.f64 n (/.f64 l Om)))
6.7b	(*.f64 n (/.f64 l Om))
6.8b	(.f64 U (.f64 (.f64 2 n) (-.f64 t (.f64 (/.f64 l Om) (-.f64 (.f64 2 l) (.f64 (-.f64 U* U) (*.f64 n (/.f64 l Om))))))))
18.8b	(sqrt.f64 (.f64 U (.f64 (.f64 2 n) (-.f64 t (.f64 (/.f64 l Om) (-.f64 (.f64 2 l) (.f64 (-.f64 U* U) (*.f64 n (/.f64 l Om)))))))))

rewrite234.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Error

22.9b

Rules

30×	`pow1_binary64_480`
27×	`add-exp-log_binary64_457` `add-cbrt-cube_binary64_455`
21×	`add-sqr-sqrt_binary64_441`
16×	`pow-prod-down_binary64_490` `*-un-lft-identity_binary64_419`
15×	`associate-r_binary64_359`
14×	`add-cube-cbrt_binary64_454`
13×	`associate-*r/_binary64_361` `prod-exp_binary64_468` `cbrt-unprod_binary64_452`
11×	`associate-l_binary64_360`
10×	`times-frac_binary64_425`
8×	`distribute-rgt-in_binary64_369` `distribute-lft-in_binary64_368`
4×	`add-log-exp_binary64_458` `sqrt-pow1_binary64_437` `flip3--_binary64_423` `flip--_binary64_394` `sub-neg_binary64_412` `cancel-sign-sub-inv_binary64_385`
3×	`*-commutative_binary64_350`
2×	`sqrt-div_binary64_436` `div-exp_binary64_470` `cbrt-undiv_binary64_453` `unswap-sqr_binary64_387` `frac-times_binary64_429` `associate-*l/_binary64_362`
1×	`pow1/2_binary64_499` `sqrt-prod_binary64_435` `div-inv_binary64_416` `difference-of-squares_binary64_388` `distribute-lft-out--_binary64_371`

Counts

4 → 105

Calls

4 calls:

10.0ms	(.f64 U (.f64 (.f64 2 n) (-.f64 t (.f64 (/.f64 l Om) (-.f64 (.f64 2 l) (.f64 (-.f64 U* U) (*.f64 n (/.f64 l Om))))))))
10.0ms	(.f64 (-.f64 U U) (*.f64 n (/.f64 l Om)))
7.0ms	(*.f64 n (/.f64 l Om))
7.0ms	(sqrt.f64 (.f64 U (.f64 (.f64 2 n) (-.f64 t (.f64 (/.f64 l Om) (-.f64 (.f64 2 l) (.f64 (-.f64 U* U) (*.f64 n (/.f64 l Om)))))))))

Compiler

Compiled 3926 to 1618 computations (58.8% saved)

series5.2s (9.4%)

Error

16.7b

Counts

4 → 92

Calls

4 calls:

3.0s	(.f64 U (.f64 (.f64 2 n) (-.f64 t (.f64 (/.f64 l Om) (-.f64 (.f64 2 l) (.f64 (-.f64 U* U) (*.f64 n (/.f64 l Om))))))))
1.4s	(sqrt.f64 (.f64 U (.f64 (.f64 2 n) (-.f64 t (.f64 (/.f64 l Om) (-.f64 (.f64 2 l) (.f64 (-.f64 U* U) (*.f64 n (/.f64 l Om)))))))))
510.0ms	(.f64 (-.f64 U U) (*.f64 n (/.f64 l Om)))
162.0ms	(*.f64 n (/.f64 l Om))

Compiler

Compiled 9528 to 7143 computations (25% saved)

simplify1.2s (2.2%)

Algorithm

1×	egg-herbie

Rules

632×	`associate-r_binary64_359`
567×	`associate-l_binary64_360`
291×	`*-commutative_binary64_350`
250×	`cancel-sign-sub-inv_binary64_385`
190×	`associate-/l*_binary64_364`
174×	`times-frac_binary64_425`
167×	`associate-*r/_binary64_361`
136×	`associate-*l/_binary64_362`
123×	`sub-neg_binary64_412`
114×	`neg-sub0_binary64_414`
106×	`associate-/r*_binary64_363`
102×	`neg-mul-1_binary64_415`
73×	`unswap-sqr_binary64_387`
68×	`distribute-rgt-in_binary64_369`
65×	`distribute-lft-in_binary64_368`
63×	`sqr-pow_binary64_391` `+-commutative_binary64_349`
60×	`distribute-rgt-neg-in_binary64_377`
56×	`log-prod_binary64_505` `*-rgt-identity_binary64_409`
55×	`swap-sqr_binary64_386`
52×	`exp-prod_binary64_471`
45×	`associate-/r/_binary64_365`
42×	`distribute-lft-neg-in_binary64_376`
36×	`*-lft-identity_binary64_408`
33×	`associate-/l/_binary64_366`
32×	`div-sub_binary64_424`
31×	`cube-prod_binary64_447`
27×	`log-div_binary64_506`
23×	`distribute-lft-neg-out_binary64_378`
20×	`cube-div_binary64_448` `unsub-neg_binary64_413`
18×	`pow-sqr_binary64_392`
16×	`/-rgt-identity_binary64_410` `distribute-neg-frac_binary64_383` `associate-+l+_binary64_352`
14×	`associate-+r+_binary64_351`
13×	`cube-unmult_binary64_456` `associate--r+_binary64_355`
12×	`associate--l+_binary64_356`
11×	`mul-1-neg_binary64_411` `distribute-neg-in_binary64_380`
10×	`exp-sum_binary64_465`
9×	`pow-plus_binary64_482` `div-exp_binary64_470` `prod-exp_binary64_468`
7×	`unpow3_binary64_485` `difference-of-squares_binary64_388` `distribute-rgt-neg-out_binary64_379` `distribute-rgt-out--_binary64_373` `distribute-rgt-out_binary64_372`
6×	`exp-diff_binary64_467` `cube-mult_binary64_449`
4×	`unpow2_binary64_484` `unpow1_binary64_477` `associate-+r-_binary64_353`
3×	`log-rec_binary64_507` `rec-exp_binary64_469` `distribute-lft-out_binary64_370`
2×	`exp-lft-sqr_binary64_474` `remove-double-neg_binary64_407` `distribute-lft-out--_binary64_371` `associate-+l-_binary64_354`
1×	`exp-sqrt_binary64_472` `1-exp_binary64_463` `exp-1-e_binary64_462` `rem-log-exp_binary64_460` `rem-sqrt-square_binary64_432` `rem-square-sqrt_binary64_431` `+-rgt-identity_binary64_404` `*-inverses_binary64_399`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_682` `erf-erfc_binary64_681` `erf-odd_binary64_680` `if-if-and-not_binary64_679` `if-if-and_binary64_678` `if-if-or-not_binary64_677` `if-if-or_binary64_676` `if-not_binary64_675` `if-same_binary64_674` `if-false_binary64_673` `if-true_binary64_672` `not-gte_binary64_671` `not-lte_binary64_670` `not-gt_binary64_669` `not-lt_binary64_668` `gte-same_binary64_667` `lte-same_binary64_666` `gt-same_binary64_665` `lt-same_binary64_664` `sinh---cosh_binary64_611` `sinh-+-cosh_binary64_610` `sinh-cosh_binary64_609` `tanh-def-c_binary64_608` `tanh-def-b_binary64_607` `tanh-def-a_binary64_606` `cosh-def_binary64_605` `sinh-def_binary64_604` `tan-neg_binary64_551` `cos-neg_binary64_550` `sin-neg_binary64_549` `tan-0_binary64_548` `cos-0_binary64_547` `sin-0_binary64_546` `hang-m-tan_binary64_545` `hang-p-tan_binary64_544` `hang-m0-tan_binary64_543` `hang-p0-tan_binary64_542` `hang-0m-tan_binary64_541` `hang-0p-tan_binary64_540` `tan-+PI/2_binary64_539` `tan-+PI_binary64_538` `tan-PI_binary64_537` `tan-PI/3_binary64_536` `tan-PI/4_binary64_535` `tan-PI/6_binary64_534` `cos-+PI/2_binary64_533` `cos-+PI_binary64_532` `cos-PI_binary64_531` `cos-PI/2_binary64_530` `cos-PI/3_binary64_529` `cos-PI/4_binary64_528` `cos-PI/6_binary64_527` `sin-+PI/2_binary64_526` `sin-+PI_binary64_525` `sin-PI_binary64_524` `sin-PI/2_binary64_523` `sin-PI/3_binary64_522` `sin-PI/4_binary64_521` `sin-PI/6_binary64_520` `sub-1-sin_binary64_519` `sub-1-cos_binary64_518` `-1-add-sin_binary64_517` `-1-add-cos_binary64_516` `1-sub-sin_binary64_515` `1-sub-cos_binary64_514` `cos-sin-sum_binary64_513` `log-E_binary64_509` `log-pow_binary64_508` `pow-base-0_binary64_503` `unpow1/3_binary64_486` `unpow1/2_binary64_483` `exp-to-pow_binary64_481` `pow-base-1_binary64_479` `unpow0_binary64_478` `unpow-1_binary64_476` `exp-lft-cube_binary64_475` `exp-cbrt_binary64_473` `exp-neg_binary64_466` `e-exp-1_binary64_464` `exp-0_binary64_461` `rem-exp-log_binary64_459` `cube-neg_binary64_446` `rem-3cbrt-rft_binary64_445` `rem-3cbrt-lft_binary64_444` `rem-cbrt-cube_binary64_443` `rem-cube-cbrt_binary64_442` `sqr-abs_binary64_434` `sqr-neg_binary64_433` `sub0-neg_binary64_406` `--rgt-identity_binary64_405` `+-lft-identity_binary64_403` `mul0-rgt_binary64_402` `mul0-lft_binary64_401` `div0_binary64_400` `+-inverses_binary64_398` `lft-mult-inverse_binary64_397` `rgt-mult-inverse_binary64_396` `remove-double-div_binary64_395` `difference-of-sqr--1_binary64_390` `difference-of-sqr-1_binary64_389` `cancel-sign-sub_binary64_384` `distribute-frac-neg_binary64_382` `distribute-neg-out_binary64_381` `distribute-rgt1-in_binary64_375` `distribute-lft1-in_binary64_374` `count-2_binary64_367` `associate--r-_binary64_358` `associate--l-_binary64_357`

Counts

197 → 440

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	425	6637
1	1149	5938
2	4708	5908

prune912.0ms (1.6%)

Pruning

23 alts after pruning (22 fresh and 1 done)

	Pruned	Kept	Total
New	419	21	440
Fresh	2	1	3
Picked	0	1	1
Done	0	0	0
Total	421	23	444

Error

11.4b

Counts

444 → 23

Compiler

Compiled 17253 to 6448 computations (62.6% saved)

localize21.0ms (0%)

Local error

Found 4 expressions with local error:

4.1b	(.f64 (.f64 (cbrt.f64 U) (cbrt.f64 U)) (.f64 (.f64 (.f64 2 n) (-.f64 t (.f64 (/.f64 l Om) (-.f64 (.f64 2 l) (.f64 (.f64 n (/.f64 l Om)) (-.f64 U U)))))) (cbrt.f64 U)))
6.3b	(.f64 (.f64 n (/.f64 l Om)) (-.f64 U* U))
6.7b	(*.f64 n (/.f64 l Om))
18.8b	(sqrt.f64 (.f64 (.f64 (cbrt.f64 U) (cbrt.f64 U)) (.f64 (.f64 (.f64 2 n) (-.f64 t (.f64 (/.f64 l Om) (-.f64 (.f64 2 l) (.f64 (.f64 n (/.f64 l Om)) (-.f64 U U)))))) (cbrt.f64 U))))

rewrite298.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

10.0b

Rules

76×	`pow1_binary64_480`
52×	`pow-prod-down_binary64_490`
50×	`add-exp-log_binary64_457`
36×	`add-cbrt-cube_binary64_455`
31×	`prod-exp_binary64_468` `cbrt-unprod_binary64_452`
22×	`add-sqr-sqrt_binary64_441`
19×	`associate-r_binary64_359`
17×	`*-un-lft-identity_binary64_419`
15×	`add-cube-cbrt_binary64_454`
14×	`associate-*r/_binary64_361`
10×	`times-frac_binary64_425`
9×	`sqrt-pow1_binary64_437`
6×	`cancel-sign-sub-inv_binary64_385`
5×	`associate-l/_binary64_362` `associate-l*_binary64_360`
4×	`add-log-exp_binary64_458` `flip3--_binary64_423` `flip--_binary64_394` `distribute-rgt-in_binary64_369` `distribute-lft-in_binary64_368`
3×	`*-commutative_binary64_350`
2×	`sqrt-div_binary64_436` `div-exp_binary64_470` `cbrt-undiv_binary64_453` `unswap-sqr_binary64_387` `frac-times_binary64_429` `sub-neg_binary64_412`
1×	`pow1/2_binary64_499` `sqrt-prod_binary64_435` `div-inv_binary64_416` `difference-of-squares_binary64_388` `distribute-lft-out--_binary64_371`

Counts

4 → 123

Calls

4 calls:

17.0ms	(.f64 (.f64 (cbrt.f64 U) (cbrt.f64 U)) (.f64 (.f64 (.f64 2 n) (-.f64 t (.f64 (/.f64 l Om) (-.f64 (.f64 2 l) (.f64 (.f64 n (/.f64 l Om)) (-.f64 U U)))))) (cbrt.f64 U)))
15.0ms	(sqrt.f64 (.f64 (.f64 (cbrt.f64 U) (cbrt.f64 U)) (.f64 (.f64 (.f64 2 n) (-.f64 t (.f64 (/.f64 l Om) (-.f64 (.f64 2 l) (.f64 (.f64 n (/.f64 l Om)) (-.f64 U U)))))) (cbrt.f64 U))))
14.0ms	(.f64 (.f64 n (/.f64 l Om)) (-.f64 U* U))
8.0ms	(*.f64 n (/.f64 l Om))

Compiler

Compiled 5670 to 2060 computations (63.7% saved)

series5.5s (9.9%)

Error

11.2b

Counts

4 → 92

Calls

4 calls:

3.2s	(.f64 (.f64 (cbrt.f64 U) (cbrt.f64 U)) (.f64 (.f64 (.f64 2 n) (-.f64 t (.f64 (/.f64 l Om) (-.f64 (.f64 2 l) (.f64 (.f64 n (/.f64 l Om)) (-.f64 U U)))))) (cbrt.f64 U)))
1.5s	(sqrt.f64 (.f64 (.f64 (cbrt.f64 U) (cbrt.f64 U)) (.f64 (.f64 (.f64 2 n) (-.f64 t (.f64 (/.f64 l Om) (-.f64 (.f64 2 l) (.f64 (.f64 n (/.f64 l Om)) (-.f64 U U)))))) (cbrt.f64 U))))
518.0ms	(.f64 (.f64 n (/.f64 l Om)) (-.f64 U* U))
169.0ms	(*.f64 n (/.f64 l Om))

Compiler

Compiled 10160 to 7392 computations (27.2% saved)

simplify956.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

476×	`*-commutative_binary64_350`
239×	`cancel-sign-sub-inv_binary64_385`
219×	`distribute-rgt-neg-in_binary64_377`
218×	`associate-/l*_binary64_364`
205×	`times-frac_binary64_425`
198×	`distribute-neg-frac_binary64_383`
179×	`associate-*l/_binary64_362`
162×	`associate-*r/_binary64_361`
157×	`distribute-lft-neg-out_binary64_378`
136×	`sub-neg_binary64_412`
126×	`associate-/r*_binary64_363`
120×	`neg-sub0_binary64_414`
110×	`associate-r_binary64_359`
107×	`neg-mul-1_binary64_415`
101×	`distribute-rgt-neg-out_binary64_379`
90×	`unswap-sqr_binary64_387`
75×	`distribute-rgt-in_binary64_369`
74×	`sqr-pow_binary64_391`
73×	`distribute-lft-in_binary64_368` `associate-l_binary64_360`
70×	`+-commutative_binary64_349`
50×	`div-sub_binary64_424`
49×	`associate-/r/_binary64_365`
47×	`swap-sqr_binary64_386`
46×	`distribute-lft-neg-in_binary64_376`
36×	`log-prod_binary64_505`
34×	`associate-/l/_binary64_366`
33×	`exp-prod_binary64_471`
32×	`log-div_binary64_506` `cube-prod_binary64_447`
29×	`distribute-neg-in_binary64_380`
26×	`cube-div_binary64_448` `associate-+l+_binary64_352`
21×	`unsub-neg_binary64_413` `pow-sqr_binary64_392`
20×	`associate--r+_binary64_355`
19×	`*-rgt-identity_binary64_409` `associate--l+_binary64_356` `associate-+r+_binary64_351`
17×	`/-rgt-identity_binary64_410`
16×	`cube-unmult_binary64_456` `mul-1-neg_binary64_411`
13×	`distribute-frac-neg_binary64_382`
9×	`div-exp_binary64_470` `prod-exp_binary64_468` `distribute-rgt-out--_binary64_373`
8×	`unpow3_binary64_485` `distribute-rgt-out_binary64_372`
7×	`cube-mult_binary64_449` `difference-of-squares_binary64_388`
6×	`exp-sum_binary64_465`
5×	`pow-plus_binary64_482`
4×	`unpow2_binary64_484` `unpow1_binary64_477` `exp-diff_binary64_467` `rem-sqrt-square_binary64_432` `*-lft-identity_binary64_408` `cancel-sign-sub_binary64_384` `distribute-lft-out_binary64_370`
3×	`log-rec_binary64_507` `rec-exp_binary64_469` `associate-+l-_binary64_354` `associate-+r-_binary64_353`
2×	`rem-square-sqrt_binary64_431` `distribute-lft-out--_binary64_371`
1×	`exp-sqrt_binary64_472` `1-exp_binary64_463` `exp-1-e_binary64_462` `rem-log-exp_binary64_460` `rem-3cbrt-rft_binary64_445` `rem-3cbrt-lft_binary64_444` `rem-cube-cbrt_binary64_442` `+-rgt-identity_binary64_404` `*-inverses_binary64_399` `count-2_binary64_367`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_682` `erf-erfc_binary64_681` `erf-odd_binary64_680` `if-if-and-not_binary64_679` `if-if-and_binary64_678` `if-if-or-not_binary64_677` `if-if-or_binary64_676` `if-not_binary64_675` `if-same_binary64_674` `if-false_binary64_673` `if-true_binary64_672` `not-gte_binary64_671` `not-lte_binary64_670` `not-gt_binary64_669` `not-lt_binary64_668` `gte-same_binary64_667` `lte-same_binary64_666` `gt-same_binary64_665` `lt-same_binary64_664` `sinh---cosh_binary64_611` `sinh-+-cosh_binary64_610` `sinh-cosh_binary64_609` `tanh-def-c_binary64_608` `tanh-def-b_binary64_607` `tanh-def-a_binary64_606` `cosh-def_binary64_605` `sinh-def_binary64_604` `tan-neg_binary64_551` `cos-neg_binary64_550` `sin-neg_binary64_549` `tan-0_binary64_548` `cos-0_binary64_547` `sin-0_binary64_546` `hang-m-tan_binary64_545` `hang-p-tan_binary64_544` `hang-m0-tan_binary64_543` `hang-p0-tan_binary64_542` `hang-0m-tan_binary64_541` `hang-0p-tan_binary64_540` `tan-+PI/2_binary64_539` `tan-+PI_binary64_538` `tan-PI_binary64_537` `tan-PI/3_binary64_536` `tan-PI/4_binary64_535` `tan-PI/6_binary64_534` `cos-+PI/2_binary64_533` `cos-+PI_binary64_532` `cos-PI_binary64_531` `cos-PI/2_binary64_530` `cos-PI/3_binary64_529` `cos-PI/4_binary64_528` `cos-PI/6_binary64_527` `sin-+PI/2_binary64_526` `sin-+PI_binary64_525` `sin-PI_binary64_524` `sin-PI/2_binary64_523` `sin-PI/3_binary64_522` `sin-PI/4_binary64_521` `sin-PI/6_binary64_520` `sub-1-sin_binary64_519` `sub-1-cos_binary64_518` `-1-add-sin_binary64_517` `-1-add-cos_binary64_516` `1-sub-sin_binary64_515` `1-sub-cos_binary64_514` `cos-sin-sum_binary64_513` `log-E_binary64_509` `log-pow_binary64_508` `pow-base-0_binary64_503` `unpow1/3_binary64_486` `unpow1/2_binary64_483` `exp-to-pow_binary64_481` `pow-base-1_binary64_479` `unpow0_binary64_478` `unpow-1_binary64_476` `exp-lft-cube_binary64_475` `exp-lft-sqr_binary64_474` `exp-cbrt_binary64_473` `exp-neg_binary64_466` `e-exp-1_binary64_464` `exp-0_binary64_461` `rem-exp-log_binary64_459` `cube-neg_binary64_446` `rem-cbrt-cube_binary64_443` `sqr-abs_binary64_434` `sqr-neg_binary64_433` `remove-double-neg_binary64_407` `sub0-neg_binary64_406` `--rgt-identity_binary64_405` `+-lft-identity_binary64_403` `mul0-rgt_binary64_402` `mul0-lft_binary64_401` `div0_binary64_400` `+-inverses_binary64_398` `lft-mult-inverse_binary64_397` `rgt-mult-inverse_binary64_396` `remove-double-div_binary64_395` `difference-of-sqr--1_binary64_390` `difference-of-sqr-1_binary64_389` `distribute-neg-out_binary64_381` `distribute-rgt1-in_binary64_375` `distribute-lft1-in_binary64_374` `associate--r-_binary64_358` `associate--l-_binary64_357`

Counts

215 → 534

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	474	8051
1	1369	6855
2	3858	6769

prune1.1s (1.9%)

Pruning

26 alts after pruning (25 fresh and 1 done)

	Pruned	Kept	Total
New	525	9	534
Fresh	5	16	21
Picked	1	0	1
Done	0	1	1
Total	531	26	557

Error

9.3b

Counts

557 → 26

Compiler

Compiled 23354 to 7668 computations (67.2% saved)

localize20.0ms (0%)

Local error

Found 4 expressions with local error:

3.8b	(.f64 (.f64 2 n) (-.f64 t (.f64 (/.f64 l Om) (-.f64 (.f64 2 l) (.f64 (.f64 n (/.f64 l Om)) (-.f64 U* U))))))
6.3b	(.f64 (.f64 n (/.f64 l Om)) (-.f64 U* U))
6.7b	(*.f64 n (/.f64 l Om))
17.8b	(sqrt.f64 (.f64 (.f64 (.f64 2 n) (-.f64 t (.f64 (/.f64 l Om) (-.f64 (.f64 2 l) (.f64 (.f64 n (/.f64 l Om)) (-.f64 U U)))))) (cbrt.f64 U)))

rewrite233.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Error

9.2b

Rules

26×	`pow1_binary64_480`
23×	`add-exp-log_binary64_457` `add-cbrt-cube_binary64_455` `add-sqr-sqrt_binary64_441`
21×	`associate-r_binary64_359`
18×	`*-un-lft-identity_binary64_419`
16×	`add-cube-cbrt_binary64_454`
13×	`pow-prod-down_binary64_490`
10×	`associate-*r/_binary64_361` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `times-frac_binary64_425`
8×	`cancel-sign-sub-inv_binary64_385`
6×	`distribute-rgt-in_binary64_369` `distribute-lft-in_binary64_368`
5×	`associate-l_binary64_360`
4×	`add-log-exp_binary64_458` `sqrt-pow1_binary64_437` `flip3--_binary64_423` `flip--_binary64_394` `sub-neg_binary64_412`
3×	`associate-l/_binary64_362` `-commutative_binary64_350`
2×	`sqrt-div_binary64_436` `div-exp_binary64_470` `cbrt-undiv_binary64_453` `unswap-sqr_binary64_387` `frac-times_binary64_429`
1×	`pow1/2_binary64_499` `sqrt-prod_binary64_435` `div-inv_binary64_416` `difference-of-squares_binary64_388` `distribute-lft-out--_binary64_371`

Counts

4 → 106

Calls

4 calls:

11.0ms	(.f64 (.f64 n (/.f64 l Om)) (-.f64 U* U))
10.0ms	(.f64 (.f64 2 n) (-.f64 t (.f64 (/.f64 l Om) (-.f64 (.f64 2 l) (.f64 (.f64 n (/.f64 l Om)) (-.f64 U* U))))))
8.0ms	(sqrt.f64 (.f64 (.f64 (.f64 2 n) (-.f64 t (.f64 (/.f64 l Om) (-.f64 (.f64 2 l) (.f64 (.f64 n (/.f64 l Om)) (-.f64 U U)))))) (cbrt.f64 U)))
7.0ms	(*.f64 n (/.f64 l Om))

Compiler

Compiled 4509 to 1736 computations (61.5% saved)

series5.3s (9.6%)

Error

8.2b

Counts

4 → 94

Calls

4 calls:

2.7s	(.f64 (.f64 2 n) (-.f64 t (.f64 (/.f64 l Om) (-.f64 (.f64 2 l) (.f64 (.f64 n (/.f64 l Om)) (-.f64 U* U))))))
1.8s	(sqrt.f64 (.f64 (.f64 (.f64 2 n) (-.f64 t (.f64 (/.f64 l Om) (-.f64 (.f64 2 l) (.f64 (.f64 n (/.f64 l Om)) (-.f64 U U)))))) (cbrt.f64 U)))
514.0ms	(.f64 (.f64 n (/.f64 l Om)) (-.f64 U* U))
170.0ms	(*.f64 n (/.f64 l Om))

Compiler

Compiled 11039 to 8117 computations (26.5% saved)

simplify696.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

671×	`associate-l_binary64_360`
667×	`associate-r_binary64_359`
189×	`associate-*l/_binary64_362`
178×	`associate-/l*_binary64_364`
175×	`*-commutative_binary64_350`
163×	`times-frac_binary64_425`
162×	`associate-*r/_binary64_361`
96×	`associate-/r*_binary64_363`
76×	`cancel-sign-sub-inv_binary64_385`
74×	`distribute-rgt-in_binary64_369`
71×	`distribute-lft-in_binary64_368`
66×	`distribute-rgt-neg-in_binary64_377`
58×	`sub-neg_binary64_412`
50×	`neg-sub0_binary64_414`
46×	`neg-mul-1_binary64_415` `distribute-lft-neg-in_binary64_376`
37×	`associate-/r/_binary64_365`
36×	`associate-/l/_binary64_366`
31×	`sqr-pow_binary64_391`
25×	`distribute-lft-neg-out_binary64_378`
22×	`+-commutative_binary64_349`
18×	`swap-sqr_binary64_386` `associate--r+_binary64_355`
17×	`exp-prod_binary64_471`
14×	`distribute-neg-frac_binary64_383` `distribute-neg-in_binary64_380`
13×	`log-prod_binary64_505` `associate--l+_binary64_356`
11×	`pow-sqr_binary64_392` `unswap-sqr_binary64_387`
10×	`cube-unmult_binary64_456` `distribute-rgt-neg-out_binary64_379`
7×	`unpow3_binary64_485` `div-sub_binary64_424` `mul-1-neg_binary64_411` `distribute-rgt-out--_binary64_373`
6×	`cube-mult_binary64_449` `*-rgt-identity_binary64_409`
5×	`distribute-rgt-out_binary64_372`
4×	`log-div_binary64_506` `cube-prod_binary64_447` `difference-of-squares_binary64_388`
3×	`unpow2_binary64_484` `pow-plus_binary64_482` `cube-div_binary64_448` `/-rgt-identity_binary64_410`
2×	`rem-sqrt-square_binary64_432` `rem-square-sqrt_binary64_431` `distribute-lft-out--_binary64_371` `associate-+l+_binary64_352` `associate-+r+_binary64_351`
1×	`unpow1/3_binary64_486` `exp-lft-sqr_binary64_474` `div-exp_binary64_470` `rec-exp_binary64_469` `1-exp_binary64_463` `rem-3cbrt-lft_binary64_444` `unsub-neg_binary64_413` `-lft-identity_binary64_408` `-inverses_binary64_399` `distribute-lft-out_binary64_370` `associate-+r-_binary64_353`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_682` `erf-erfc_binary64_681` `erf-odd_binary64_680` `if-if-and-not_binary64_679` `if-if-and_binary64_678` `if-if-or-not_binary64_677` `if-if-or_binary64_676` `if-not_binary64_675` `if-same_binary64_674` `if-false_binary64_673` `if-true_binary64_672` `not-gte_binary64_671` `not-lte_binary64_670` `not-gt_binary64_669` `not-lt_binary64_668` `gte-same_binary64_667` `lte-same_binary64_666` `gt-same_binary64_665` `lt-same_binary64_664` `sinh---cosh_binary64_611` `sinh-+-cosh_binary64_610` `sinh-cosh_binary64_609` `tanh-def-c_binary64_608` `tanh-def-b_binary64_607` `tanh-def-a_binary64_606` `cosh-def_binary64_605` `sinh-def_binary64_604` `tan-neg_binary64_551` `cos-neg_binary64_550` `sin-neg_binary64_549` `tan-0_binary64_548` `cos-0_binary64_547` `sin-0_binary64_546` `hang-m-tan_binary64_545` `hang-p-tan_binary64_544` `hang-m0-tan_binary64_543` `hang-p0-tan_binary64_542` `hang-0m-tan_binary64_541` `hang-0p-tan_binary64_540` `tan-+PI/2_binary64_539` `tan-+PI_binary64_538` `tan-PI_binary64_537` `tan-PI/3_binary64_536` `tan-PI/4_binary64_535` `tan-PI/6_binary64_534` `cos-+PI/2_binary64_533` `cos-+PI_binary64_532` `cos-PI_binary64_531` `cos-PI/2_binary64_530` `cos-PI/3_binary64_529` `cos-PI/4_binary64_528` `cos-PI/6_binary64_527` `sin-+PI/2_binary64_526` `sin-+PI_binary64_525` `sin-PI_binary64_524` `sin-PI/2_binary64_523` `sin-PI/3_binary64_522` `sin-PI/4_binary64_521` `sin-PI/6_binary64_520` `sub-1-sin_binary64_519` `sub-1-cos_binary64_518` `-1-add-sin_binary64_517` `-1-add-cos_binary64_516` `1-sub-sin_binary64_515` `1-sub-cos_binary64_514` `cos-sin-sum_binary64_513` `log-E_binary64_509` `log-pow_binary64_508` `log-rec_binary64_507` `pow-base-0_binary64_503` `unpow1/2_binary64_483` `exp-to-pow_binary64_481` `pow-base-1_binary64_479` `unpow0_binary64_478` `unpow1_binary64_477` `unpow-1_binary64_476` `exp-lft-cube_binary64_475` `exp-cbrt_binary64_473` `exp-sqrt_binary64_472` `prod-exp_binary64_468` `exp-diff_binary64_467` `exp-neg_binary64_466` `exp-sum_binary64_465` `e-exp-1_binary64_464` `exp-1-e_binary64_462` `exp-0_binary64_461` `rem-log-exp_binary64_460` `rem-exp-log_binary64_459` `cube-neg_binary64_446` `rem-3cbrt-rft_binary64_445` `rem-cbrt-cube_binary64_443` `rem-cube-cbrt_binary64_442` `sqr-abs_binary64_434` `sqr-neg_binary64_433` `remove-double-neg_binary64_407` `sub0-neg_binary64_406` `--rgt-identity_binary64_405` `+-rgt-identity_binary64_404` `+-lft-identity_binary64_403` `mul0-rgt_binary64_402` `mul0-lft_binary64_401` `div0_binary64_400` `+-inverses_binary64_398` `lft-mult-inverse_binary64_397` `rgt-mult-inverse_binary64_396` `remove-double-div_binary64_395` `difference-of-sqr--1_binary64_390` `difference-of-sqr-1_binary64_389` `cancel-sign-sub_binary64_384` `distribute-frac-neg_binary64_382` `distribute-neg-out_binary64_381` `distribute-rgt1-in_binary64_375` `distribute-lft1-in_binary64_374` `count-2_binary64_367` `associate--r-_binary64_358` `associate--l-_binary64_357` `associate-+l-_binary64_354`

Counts

200 → 402

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	437	6315
1	1226	5809

prune1.1s (1.9%)

Pruning

32 alts after pruning (31 fresh and 1 done)

	Pruned	Kept	Total
New	394	8	402
Fresh	1	23	24
Picked	1	0	1
Done	0	1	1
Total	396	32	428

Error

7.2b

Counts

428 → 32

Compiler

Compiled 18145 to 6656 computations (63.3% saved)

localize27.0ms (0%)

Local error

Found 4 expressions with local error:

13.0b	(cbrt.f64 (-.f64 t (.f64 (/.f64 l Om) (-.f64 (.f64 2 l) (.f64 (.f64 n (/.f64 l Om)) (-.f64 U* U))))))
13.0b	(cbrt.f64 (-.f64 t (.f64 (/.f64 l Om) (-.f64 (.f64 2 l) (.f64 (.f64 n (/.f64 l Om)) (-.f64 U* U))))))
13.0b	(cbrt.f64 (-.f64 t (.f64 (/.f64 l Om) (-.f64 (.f64 2 l) (.f64 (.f64 n (/.f64 l Om)) (-.f64 U* U))))))
17.8b	(sqrt.f64 (.f64 (.f64 (.f64 2 (.f64 n (.f64 (cbrt.f64 (-.f64 t (.f64 (/.f64 l Om) (-.f64 (.f64 2 l) (.f64 (.f64 n (/.f64 l Om)) (-.f64 U U)))))) (cbrt.f64 (-.f64 t (.f64 (/.f64 l Om) (-.f64 (.f64 2 l) (.f64 (.f64 n (/.f64 l Om)) (-.f64 U* U))))))))) (cbrt.f64 (-.f64 t (.f64 (/.f64 l Om) (-.f64 (.f64 2 l) (.f64 (.f64 n (/.f64 l Om)) (-.f64 U* U))))))) (cbrt.f64 U)))

rewrite466.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

7.2b

Rules

60×	`cbrt-div_binary64_451`
56×	`associate-*r/_binary64_361`
40×	`associate-*l/_binary64_362`
30×	`flip3--_binary64_423` `flip--_binary64_394`
28×	`frac-times_binary64_429`
26×	`sqrt-div_binary64_436`
25×	`pow1_binary64_480`
15×	`pow-prod-down_binary64_490`
9×	`cbrt-prod_binary64_450`
7×	`add-cube-cbrt_binary64_454` `add-sqr-sqrt_binary64_441` `*-un-lft-identity_binary64_419`
6×	`sqrt-pow1_binary64_437`
4×	`add-log-exp_binary64_458` `add-exp-log_binary64_457` `add-cbrt-cube_binary64_455`
3×	`pow1/3_binary64_501`
1×	`pow1/2_binary64_499` `sqrt-prod_binary64_435`

Counts

4 → 80

Calls

4 calls:

23.0ms	(sqrt.f64 (.f64 (.f64 (.f64 2 (.f64 n (.f64 (cbrt.f64 (-.f64 t (.f64 (/.f64 l Om) (-.f64 (.f64 2 l) (.f64 (.f64 n (/.f64 l Om)) (-.f64 U U)))))) (cbrt.f64 (-.f64 t (.f64 (/.f64 l Om) (-.f64 (.f64 2 l) (.f64 (.f64 n (/.f64 l Om)) (-.f64 U* U))))))))) (cbrt.f64 (-.f64 t (.f64 (/.f64 l Om) (-.f64 (.f64 2 l) (.f64 (.f64 n (/.f64 l Om)) (-.f64 U* U))))))) (cbrt.f64 U)))
3.0ms	(cbrt.f64 (-.f64 t (.f64 (/.f64 l Om) (-.f64 (.f64 2 l) (.f64 (.f64 n (/.f64 l Om)) (-.f64 U* U))))))
3.0ms	(cbrt.f64 (-.f64 t (.f64 (/.f64 l Om) (-.f64 (.f64 2 l) (.f64 (.f64 n (/.f64 l Om)) (-.f64 U* U))))))
3.0ms	(cbrt.f64 (-.f64 t (.f64 (/.f64 l Om) (-.f64 (.f64 2 l) (.f64 (.f64 n (/.f64 l Om)) (-.f64 U* U))))))

Compiler

Compiled 10085 to 3537 computations (64.9% saved)

series10.4s (18.7%)

Error

7.2b

Counts

4 → 121

Calls

4 calls:

2.6s	(cbrt.f64 (-.f64 t (.f64 (/.f64 l Om) (-.f64 (.f64 2 l) (.f64 (.f64 n (/.f64 l Om)) (-.f64 U* U))))))
2.5s	(cbrt.f64 (-.f64 t (.f64 (/.f64 l Om) (-.f64 (.f64 2 l) (.f64 (.f64 n (/.f64 l Om)) (-.f64 U* U))))))
2.5s	(cbrt.f64 (-.f64 t (.f64 (/.f64 l Om) (-.f64 (.f64 2 l) (.f64 (.f64 n (/.f64 l Om)) (-.f64 U* U))))))
2.2s	(sqrt.f64 (.f64 (.f64 (.f64 2 (.f64 n (.f64 (cbrt.f64 (-.f64 t (.f64 (/.f64 l Om) (-.f64 (.f64 2 l) (.f64 (.f64 n (/.f64 l Om)) (-.f64 U U)))))) (cbrt.f64 (-.f64 t (.f64 (/.f64 l Om) (-.f64 (.f64 2 l) (.f64 (.f64 n (/.f64 l Om)) (-.f64 U* U))))))))) (cbrt.f64 (-.f64 t (.f64 (/.f64 l Om) (-.f64 (.f64 2 l) (.f64 (.f64 n (/.f64 l Om)) (-.f64 U* U))))))) (cbrt.f64 U)))

Compiler

Compiled 40098 to 26883 computations (33% saved)

simplify2.5s (4.4%)

Algorithm

1×	egg-herbie

Rules

610×	`associate-l_binary64_360`
443×	`times-frac_binary64_425`
293×	`associate-/l*_binary64_364`
255×	`associate-/r*_binary64_363`
242×	`*-commutative_binary64_350`
170×	`associate-*r/_binary64_361`
141×	`associate-*l/_binary64_362`
100×	`cancel-sign-sub-inv_binary64_385`
85×	`sub-neg_binary64_412`
84×	`associate-r_binary64_359`
61×	`distribute-rgt-neg-in_binary64_377`
60×	`sqr-pow_binary64_391`
50×	`neg-mul-1_binary64_415`
49×	`neg-sub0_binary64_414`
44×	`distribute-lft-neg-in_binary64_376`
42×	`associate-/r/_binary64_365`
37×	`distribute-rgt-in_binary64_369`
35×	`distribute-lft-in_binary64_368`
34×	`+-commutative_binary64_349`
33×	`unswap-sqr_binary64_387`
23×	`distribute-neg-in_binary64_380`
20×	`exp-prod_binary64_471`
17×	`pow-sqr_binary64_392`
16×	`distribute-lft-neg-out_binary64_378`
13×	`distribute-neg-frac_binary64_383`
12×	`log-div_binary64_506` `associate--l+_binary64_356`
11×	`associate--r+_binary64_355`
7×	`unpow1/3_binary64_486` `unpow2_binary64_484` `associate-+r+_binary64_351`
6×	`unpow3_binary64_485` `cube-mult_binary64_449`
5×	`log-prod_binary64_505` `mul-1-neg_binary64_411` `distribute-rgt-out_binary64_372`
4×	`log-rec_binary64_507` `cube-unmult_binary64_456` `rem-sqrt-square_binary64_432`
3×	`pow-plus_binary64_482` `rem-3cbrt-lft_binary64_444` `remove-double-neg_binary64_407` `difference-of-squares_binary64_388` `distribute-rgt-out--_binary64_373`
2×	`cube-div_binary64_448` `cube-prod_binary64_447` `div-sub_binary64_424` `swap-sqr_binary64_386` `distribute-rgt-neg-out_binary64_379` `distribute-lft-out_binary64_370`
1×	`log-pow_binary64_508` `1-exp_binary64_463` `rem-log-exp_binary64_460` `rem-square-sqrt_binary64_431` `unsub-neg_binary64_413` `-rgt-identity_binary64_409` `-inverses_binary64_399` `cancel-sign-sub_binary64_384`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_682` `erf-erfc_binary64_681` `erf-odd_binary64_680` `if-if-and-not_binary64_679` `if-if-and_binary64_678` `if-if-or-not_binary64_677` `if-if-or_binary64_676` `if-not_binary64_675` `if-same_binary64_674` `if-false_binary64_673` `if-true_binary64_672` `not-gte_binary64_671` `not-lte_binary64_670` `not-gt_binary64_669` `not-lt_binary64_668` `gte-same_binary64_667` `lte-same_binary64_666` `gt-same_binary64_665` `lt-same_binary64_664` `sinh---cosh_binary64_611` `sinh-+-cosh_binary64_610` `sinh-cosh_binary64_609` `tanh-def-c_binary64_608` `tanh-def-b_binary64_607` `tanh-def-a_binary64_606` `cosh-def_binary64_605` `sinh-def_binary64_604` `tan-neg_binary64_551` `cos-neg_binary64_550` `sin-neg_binary64_549` `tan-0_binary64_548` `cos-0_binary64_547` `sin-0_binary64_546` `hang-m-tan_binary64_545` `hang-p-tan_binary64_544` `hang-m0-tan_binary64_543` `hang-p0-tan_binary64_542` `hang-0m-tan_binary64_541` `hang-0p-tan_binary64_540` `tan-+PI/2_binary64_539` `tan-+PI_binary64_538` `tan-PI_binary64_537` `tan-PI/3_binary64_536` `tan-PI/4_binary64_535` `tan-PI/6_binary64_534` `cos-+PI/2_binary64_533` `cos-+PI_binary64_532` `cos-PI_binary64_531` `cos-PI/2_binary64_530` `cos-PI/3_binary64_529` `cos-PI/4_binary64_528` `cos-PI/6_binary64_527` `sin-+PI/2_binary64_526` `sin-+PI_binary64_525` `sin-PI_binary64_524` `sin-PI/2_binary64_523` `sin-PI/3_binary64_522` `sin-PI/4_binary64_521` `sin-PI/6_binary64_520` `sub-1-sin_binary64_519` `sub-1-cos_binary64_518` `-1-add-sin_binary64_517` `-1-add-cos_binary64_516` `1-sub-sin_binary64_515` `1-sub-cos_binary64_514` `cos-sin-sum_binary64_513` `log-E_binary64_509` `pow-base-0_binary64_503` `unpow1/2_binary64_483` `exp-to-pow_binary64_481` `pow-base-1_binary64_479` `unpow0_binary64_478` `unpow1_binary64_477` `unpow-1_binary64_476` `exp-lft-cube_binary64_475` `exp-lft-sqr_binary64_474` `exp-cbrt_binary64_473` `exp-sqrt_binary64_472` `div-exp_binary64_470` `rec-exp_binary64_469` `prod-exp_binary64_468` `exp-diff_binary64_467` `exp-neg_binary64_466` `exp-sum_binary64_465` `e-exp-1_binary64_464` `exp-1-e_binary64_462` `exp-0_binary64_461` `rem-exp-log_binary64_459` `cube-neg_binary64_446` `rem-3cbrt-rft_binary64_445` `rem-cbrt-cube_binary64_443` `rem-cube-cbrt_binary64_442` `sqr-abs_binary64_434` `sqr-neg_binary64_433` `/-rgt-identity_binary64_410` `*-lft-identity_binary64_408` `sub0-neg_binary64_406` `--rgt-identity_binary64_405` `+-rgt-identity_binary64_404` `+-lft-identity_binary64_403` `mul0-rgt_binary64_402` `mul0-lft_binary64_401` `div0_binary64_400` `+-inverses_binary64_398` `lft-mult-inverse_binary64_397` `rgt-mult-inverse_binary64_396` `remove-double-div_binary64_395` `difference-of-sqr--1_binary64_390` `difference-of-sqr-1_binary64_389` `distribute-frac-neg_binary64_382` `distribute-neg-out_binary64_381` `distribute-rgt1-in_binary64_375` `distribute-lft1-in_binary64_374` `distribute-lft-out--_binary64_371` `count-2_binary64_367` `associate-/l/_binary64_366` `associate--r-_binary64_358` `associate--l-_binary64_357` `associate-+l-_binary64_354` `associate-+r-_binary64_353` `associate-+l+_binary64_352`

Counts

201 → 531

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	582	18700
1	1540	17579

prune4.0s (7.2%)

Pruning

35 alts after pruning (33 fresh and 2 done)

	Pruned	Kept	Total
New	528	3	531
Fresh	0	30	30
Picked	0	1	1
Done	0	1	1
Total	528	35	563

Error

7.2b

Counts

563 → 35

Compiler

Compiled 66120 to 22850 computations (65.4% saved)

regimes5.4s (9.6%)

Accuracy

Total 16.3b remaining (68%)

Threshold costs 0b (0%)

Compiler

Compiled 51890 to 36090 computations (30.4% saved)

bsearch385.0ms (0.7%)

Steps

Iters	Range		Point
9	8.103682896602688e+180	5.520420020304053e+189	4.5185536863072047e+182
8	1.4001958047553084e-238	2.927702830778743e-235	1.7140618391835295e-236
7	-3.127553974139145e-169	-9.100362544526993e-171	-1.452413834329494e-170
9	-8.17510039765886e+150	-1.0689401904522256e+142	-2.9128334740045034e+150

Compiler

Compiled 1 to 6 computations (-500% saved)

simplify162.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

264×	`distribute-rgt-neg-in_binary64_377`
260×	`unsub-neg_binary64_413`
253×	`neg-mul-1_binary64_415` `neg-sub0_binary64_414`
251×	`distribute-rgt-neg-out_binary64_379`
181×	`distribute-lft-neg-out_binary64_378`
180×	`distribute-neg-out_binary64_381`
167×	`distribute-lft-neg-in_binary64_376`
107×	`sub-neg_binary64_412`
93×	`cancel-sign-sub-inv_binary64_385` `*-commutative_binary64_350`
90×	`distribute-neg-in_binary64_380`
74×	`+-commutative_binary64_349`
64×	`remove-double-neg_binary64_407`
13×	`+-rgt-identity_binary64_404` `+-lft-identity_binary64_403`
9×	`distribute-frac-neg_binary64_382`
7×	`distribute-neg-frac_binary64_383`
3×	`sqr-neg_binary64_433`
1×	`--rgt-identity_binary64_405`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `if-if-and-not_binary64_679` `if-if-and_binary64_678` `if-if-or-not_binary64_677` `if-if-or_binary64_676` `if-not_binary64_675` `if-same_binary64_674` `if-false_binary64_673` `if-true_binary64_672` `tan-0_binary64_548` `cos-0_binary64_547` `sin-0_binary64_546` `unpow1_binary64_477` `e-exp-1_binary64_464` `1-exp_binary64_463` `exp-1-e_binary64_462` `exp-0_binary64_461` `sqr-abs_binary64_434` `mul-1-neg_binary64_411` `/-rgt-identity_binary64_410` `-rgt-identity_binary64_409` `-lft-identity_binary64_408` `sub0-neg_binary64_406` `cancel-sign-sub_binary64_384`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	84	262
1	165	262
2	252	262
3	337	262
4	435	262
5	529	262
6	606	262
7	877	262
8	1128	262
9	1167	262
10	1280	262
11	1361	262
12	1411	262
13	1433	262
14	1444	262
15	1450	262
16	1453	262
17	1454	262

Proof

(if real (<= f64 h0 -2912833474004503406016273552397485052843796411607632493198257004679996826981968533275804679560886390537310452147281219913951887587288729474869005123584) (* f64 (sqrt f64 2) (neg f64 (* f64 h0 (sqrt f64 (* f64 h1 (* f64 h2 (- f64 (- f64 (* f64 (/ f64 h2 h3) (/ f64 h4 h3)) (/ f64 2 h3)) (* f64 (/ f64 h1 h3) (/ f64 h2 h3))))))))) (if real (<= f64 h0 -7899465407539937/543885304644369509058138323509727874385503352552480689356230797517213245297512696564902402319594788524942673393916417039714897241756372213155348458256985448390483221335442656288489603072) (* f64 (sqrt f64 (* f64 (cbrt f64 h1) (cbrt f64 h1))) (sqrt f64 (* f64 (* f64 (* f64 2 h2) (- f64 h5 (* f64 (/ f64 h0 h3) (- f64 (* f64 2 h0) (* f64 (* f64 h2 (/ f64 h0 h3)) (- f64 h4 h1)))))) (cbrt f64 h1)))) (if real (<= f64 h0 7854216371632253/458222462695599379270700542938797415851547826754730440471063195236977024085646466549524548253194054006869752147503995521190349772113174027207120416665033273928205988927667393636268820183663660419920640131707923959614888857707801337845740593703588724736) (sqrt f64 (* f64 (* f64 2 (* f64 h2 h1)) (- f64 (- f64 h5 (* f64 2 (/ f64 (* f64 h0 h0) h3))) (* f64 h2 (* f64 (pow f64 (/ f64 h0 h3) 2) (- f64 h1 h4)))))) (if real (<= f64 h0 451855368630720467440405304271028626488591709022793980048343696422550911422030972208342554087451067048575752072158350075147202824938033211876797639273274775662516941673257468778512384) (* f64 (sqrt f64 (* f64 (cbrt f64 h1) (cbrt f64 h1))) (sqrt f64 (* f64 (cbrt f64 h1) (* f64 2 (* f64 h2 (=> (- f64 h5 (* f64 (/ f64 h0 h3) (- f64 (* f64 2 h0) (* f64 h2 (* f64 (- f64 h4 h1) (/ f64 h0 h3)))))))))))) (* f64 (sqrt f64 (* f64 (* f64 h1 h2) (- f64 (* f64 (/ f64 h2 h3) (/ f64 h4 h3)) (+ f64 (/ f64 (* f64 h1 h2) (* f64 h3 h3)) (/ f64 2 h3))))) (* f64 (sqrt f64 2) h0))))))
sub-neg_binary64_412 =>
(if real (<= f64 h0 -2912833474004503406016273552397485052843796411607632493198257004679996826981968533275804679560886390537310452147281219913951887587288729474869005123584) (* f64 (sqrt f64 2) (neg f64 (* f64 h0 (sqrt f64 (* f64 h1 (* f64 h2 (- f64 (- f64 (* f64 (/ f64 h2 h3) (/ f64 h4 h3)) (/ f64 2 h3)) (* f64 (/ f64 h1 h3) (/ f64 h2 h3))))))))) (if real (<= f64 h0 -7899465407539937/543885304644369509058138323509727874385503352552480689356230797517213245297512696564902402319594788524942673393916417039714897241756372213155348458256985448390483221335442656288489603072) (* f64 (sqrt f64 (* f64 (cbrt f64 h1) (cbrt f64 h1))) (sqrt f64 (* f64 (* f64 (* f64 2 h2) (- f64 h5 (* f64 (/ f64 h0 h3) (- f64 (* f64 2 h0) (* f64 (* f64 h2 (/ f64 h0 h3)) (- f64 h4 h1)))))) (cbrt f64 h1)))) (if real (<= f64 h0 7854216371632253/458222462695599379270700542938797415851547826754730440471063195236977024085646466549524548253194054006869752147503995521190349772113174027207120416665033273928205988927667393636268820183663660419920640131707923959614888857707801337845740593703588724736) (sqrt f64 (* f64 (* f64 2 (* f64 h2 h1)) (=> (- f64 (- f64 h5 (* f64 2 (/ f64 (* f64 h0 h0) h3))) (* f64 h2 (* f64 (pow f64 (/ f64 h0 h3) 2) (- f64 h1 h4))))))) (if real (<= f64 h0 451855368630720467440405304271028626488591709022793980048343696422550911422030972208342554087451067048575752072158350075147202824938033211876797639273274775662516941673257468778512384) (* f64 (sqrt f64 (* f64 (cbrt f64 h1) (cbrt f64 h1))) (sqrt f64 (* f64 (cbrt f64 h1) (* f64 2 (* f64 h2 (+ f64 h5 (neg f64 (* f64 (/ f64 h0 h3) (- f64 (* f64 2 h0) (* f64 h2 (* f64 (- f64 h4 h1) (/ f64 h0 h3)))))))))))) (* f64 (sqrt f64 (* f64 (* f64 h1 h2) (- f64 (* f64 (/ f64 h2 h3) (/ f64 h4 h3)) (+ f64 (/ f64 (* f64 h1 h2) (* f64 h3 h3)) (/ f64 2 h3))))) (* f64 (sqrt f64 2) h0))))))
sub-neg_binary64_412 =>
(if real (<= f64 h0 -2912833474004503406016273552397485052843796411607632493198257004679996826981968533275804679560886390537310452147281219913951887587288729474869005123584) (* f64 (sqrt f64 2) (=> (neg f64 (* f64 h0 (sqrt f64 (* f64 h1 (* f64 h2 (- f64 (- f64 (* f64 (/ f64 h2 h3) (/ f64 h4 h3)) (/ f64 2 h3)) (* f64 (/ f64 h1 h3) (/ f64 h2 h3)))))))))) (if real (<= f64 h0 -7899465407539937/543885304644369509058138323509727874385503352552480689356230797517213245297512696564902402319594788524942673393916417039714897241756372213155348458256985448390483221335442656288489603072) (* f64 (sqrt f64 (* f64 (cbrt f64 h1) (cbrt f64 h1))) (sqrt f64 (* f64 (* f64 (* f64 2 h2) (- f64 h5 (* f64 (/ f64 h0 h3) (- f64 (* f64 2 h0) (* f64 (* f64 h2 (/ f64 h0 h3)) (- f64 h4 h1)))))) (cbrt f64 h1)))) (if real (<= f64 h0 7854216371632253/458222462695599379270700542938797415851547826754730440471063195236977024085646466549524548253194054006869752147503995521190349772113174027207120416665033273928205988927667393636268820183663660419920640131707923959614888857707801337845740593703588724736) (sqrt f64 (* f64 (* f64 2 (* f64 h2 h1)) (+ f64 (- f64 h5 (* f64 2 (/ f64 (* f64 h0 h0) h3))) (neg f64 (* f64 h2 (* f64 (pow f64 (/ f64 h0 h3) 2) (- f64 h1 h4))))))) (if real (<= f64 h0 451855368630720467440405304271028626488591709022793980048343696422550911422030972208342554087451067048575752072158350075147202824938033211876797639273274775662516941673257468778512384) (* f64 (sqrt f64 (* f64 (cbrt f64 h1) (cbrt f64 h1))) (sqrt f64 (* f64 (cbrt f64 h1) (* f64 2 (* f64 h2 (+ f64 h5 (neg f64 (* f64 (/ f64 h0 h3) (- f64 (* f64 2 h0) (* f64 h2 (* f64 (- f64 h4 h1) (/ f64 h0 h3)))))))))))) (* f64 (sqrt f64 (* f64 (* f64 h1 h2) (- f64 (* f64 (/ f64 h2 h3) (/ f64 h4 h3)) (+ f64 (/ f64 (* f64 h1 h2) (* f64 h3 h3)) (/ f64 2 h3))))) (* f64 (sqrt f64 2) h0))))))
distribute-rgt-neg-in_binary64_377 =>
(if real (<= f64 h0 -2912833474004503406016273552397485052843796411607632493198257004679996826981968533275804679560886390537310452147281219913951887587288729474869005123584) (* f64 (sqrt f64 2) (* f64 h0 (neg f64 (sqrt f64 (* f64 h1 (* f64 h2 (- f64 (- f64 (* f64 (/ f64 h2 h3) (/ f64 h4 h3)) (/ f64 2 h3)) (* f64 (/ f64 h1 h3) (/ f64 h2 h3))))))))) (if real (<= f64 h0 -7899465407539937/543885304644369509058138323509727874385503352552480689356230797517213245297512696564902402319594788524942673393916417039714897241756372213155348458256985448390483221335442656288489603072) (* f64 (sqrt f64 (* f64 (cbrt f64 h1) (cbrt f64 h1))) (sqrt f64 (* f64 (* f64 (* f64 2 h2) (- f64 h5 (* f64 (/ f64 h0 h3) (- f64 (* f64 2 h0) (* f64 (* f64 h2 (/ f64 h0 h3)) (- f64 h4 h1)))))) (cbrt f64 h1)))) (if real (<= f64 h0 7854216371632253/458222462695599379270700542938797415851547826754730440471063195236977024085646466549524548253194054006869752147503995521190349772113174027207120416665033273928205988927667393636268820183663660419920640131707923959614888857707801337845740593703588724736) (sqrt f64 (* f64 (* f64 2 (=> (* f64 h2 h1))) (+ f64 (- f64 h5 (* f64 2 (/ f64 (* f64 h0 h0) h3))) (neg f64 (* f64 h2 (* f64 (pow f64 (/ f64 h0 h3) 2) (- f64 h1 h4))))))) (if real (<= f64 h0 451855368630720467440405304271028626488591709022793980048343696422550911422030972208342554087451067048575752072158350075147202824938033211876797639273274775662516941673257468778512384) (* f64 (sqrt f64 (* f64 (cbrt f64 h1) (cbrt f64 h1))) (sqrt f64 (* f64 (cbrt f64 h1) (* f64 2 (* f64 h2 (+ f64 h5 (neg f64 (* f64 (/ f64 h0 h3) (- f64 (* f64 2 h0) (* f64 h2 (* f64 (- f64 h4 h1) (/ f64 h0 h3)))))))))))) (* f64 (sqrt f64 (* f64 (* f64 h1 h2) (- f64 (* f64 (/ f64 h2 h3) (/ f64 h4 h3)) (+ f64 (/ f64 (* f64 h1 h2) (* f64 h3 h3)) (/ f64 2 h3))))) (* f64 (sqrt f64 2) h0))))))
*-commutative_binary64_350 =>
(if real (<= f64 h0 -2912833474004503406016273552397485052843796411607632493198257004679996826981968533275804679560886390537310452147281219913951887587288729474869005123584) (* f64 (sqrt f64 2) (* f64 h0 (neg f64 (sqrt f64 (* f64 h1 (* f64 h2 (- f64 (- f64 (* f64 (/ f64 h2 h3) (/ f64 h4 h3)) (/ f64 2 h3)) (* f64 (/ f64 h1 h3) (/ f64 h2 h3))))))))) (if real (<= f64 h0 -7899465407539937/543885304644369509058138323509727874385503352552480689356230797517213245297512696564902402319594788524942673393916417039714897241756372213155348458256985448390483221335442656288489603072) (* f64 (sqrt f64 (* f64 (cbrt f64 h1) (cbrt f64 h1))) (sqrt f64 (=> (* f64 (* f64 (* f64 2 h2) (- f64 h5 (* f64 (/ f64 h0 h3) (- f64 (* f64 2 h0) (* f64 (* f64 h2 (/ f64 h0 h3)) (- f64 h4 h1)))))) (cbrt f64 h1))))) (if real (<= f64 h0 7854216371632253/458222462695599379270700542938797415851547826754730440471063195236977024085646466549524548253194054006869752147503995521190349772113174027207120416665033273928205988927667393636268820183663660419920640131707923959614888857707801337845740593703588724736) (sqrt f64 (* f64 (* f64 2 (* f64 h1 h2)) (+ f64 (- f64 h5 (* f64 2 (/ f64 (* f64 h0 h0) h3))) (neg f64 (* f64 h2 (* f64 (pow f64 (/ f64 h0 h3) 2) (- f64 h1 h4))))))) (if real (<= f64 h0 451855368630720467440405304271028626488591709022793980048343696422550911422030972208342554087451067048575752072158350075147202824938033211876797639273274775662516941673257468778512384) (* f64 (sqrt f64 (* f64 (cbrt f64 h1) (cbrt f64 h1))) (sqrt f64 (* f64 (cbrt f64 h1) (* f64 2 (* f64 h2 (+ f64 h5 (neg f64 (* f64 (/ f64 h0 h3) (- f64 (* f64 2 h0) (* f64 h2 (* f64 (- f64 h4 h1) (/ f64 h0 h3)))))))))))) (* f64 (sqrt f64 (* f64 (* f64 h1 h2) (- f64 (* f64 (/ f64 h2 h3) (/ f64 h4 h3)) (+ f64 (/ f64 (* f64 h1 h2) (* f64 h3 h3)) (/ f64 2 h3))))) (* f64 (sqrt f64 2) h0))))))
*-commutative_binary64_350 =>
(if real (<= f64 h0 -2912833474004503406016273552397485052843796411607632493198257004679996826981968533275804679560886390537310452147281219913951887587288729474869005123584) (* f64 (sqrt f64 2) (* f64 h0 (neg f64 (sqrt f64 (* f64 h1 (* f64 h2 (- f64 (- f64 (* f64 (/ f64 h2 h3) (/ f64 h4 h3)) (/ f64 2 h3)) (* f64 (/ f64 h1 h3) (/ f64 h2 h3))))))))) (if real (<= f64 h0 -7899465407539937/543885304644369509058138323509727874385503352552480689356230797517213245297512696564902402319594788524942673393916417039714897241756372213155348458256985448390483221335442656288489603072) (* f64 (sqrt f64 (* f64 (cbrt f64 h1) (cbrt f64 h1))) (sqrt f64 (* f64 (cbrt f64 h1) (* f64 (* f64 2 h2) (=> (- f64 h5 (* f64 (/ f64 h0 h3) (- f64 (* f64 2 h0) (* f64 (* f64 h2 (/ f64 h0 h3)) (- f64 h4 h1)))))))))) (if real (<= f64 h0 7854216371632253/458222462695599379270700542938797415851547826754730440471063195236977024085646466549524548253194054006869752147503995521190349772113174027207120416665033273928205988927667393636268820183663660419920640131707923959614888857707801337845740593703588724736) (sqrt f64 (* f64 (* f64 2 (* f64 h1 h2)) (+ f64 (- f64 h5 (* f64 2 (/ f64 (* f64 h0 h0) h3))) (neg f64 (* f64 h2 (* f64 (pow f64 (/ f64 h0 h3) 2) (- f64 h1 h4))))))) (if real (<= f64 h0 451855368630720467440405304271028626488591709022793980048343696422550911422030972208342554087451067048575752072158350075147202824938033211876797639273274775662516941673257468778512384) (* f64 (sqrt f64 (* f64 (cbrt f64 h1) (cbrt f64 h1))) (sqrt f64 (* f64 (cbrt f64 h1) (* f64 2 (* f64 h2 (+ f64 h5 (neg f64 (* f64 (/ f64 h0 h3) (- f64 (* f64 2 h0) (* f64 h2 (* f64 (- f64 h4 h1) (/ f64 h0 h3)))))))))))) (* f64 (sqrt f64 (* f64 (* f64 h1 h2) (- f64 (* f64 (/ f64 h2 h3) (/ f64 h4 h3)) (+ f64 (/ f64 (* f64 h1 h2) (* f64 h3 h3)) (/ f64 2 h3))))) (* f64 (sqrt f64 2) h0))))))
sub-neg_binary64_412 =>
(if real (<= f64 h0 -2912833474004503406016273552397485052843796411607632493198257004679996826981968533275804679560886390537310452147281219913951887587288729474869005123584) (* f64 (sqrt f64 2) (* f64 h0 (neg f64 (sqrt f64 (* f64 h1 (* f64 h2 (- f64 (- f64 (* f64 (/ f64 h2 h3) (/ f64 h4 h3)) (/ f64 2 h3)) (=> (* f64 (/ f64 h1 h3) (/ f64 h2 h3)))))))))) (if real (<= f64 h0 -7899465407539937/543885304644369509058138323509727874385503352552480689356230797517213245297512696564902402319594788524942673393916417039714897241756372213155348458256985448390483221335442656288489603072) (* f64 (sqrt f64 (* f64 (cbrt f64 h1) (cbrt f64 h1))) (sqrt f64 (* f64 (cbrt f64 h1) (* f64 (* f64 2 h2) (+ f64 h5 (neg f64 (* f64 (/ f64 h0 h3) (- f64 (* f64 2 h0) (* f64 (* f64 h2 (/ f64 h0 h3)) (- f64 h4 h1)))))))))) (if real (<= f64 h0 7854216371632253/458222462695599379270700542938797415851547826754730440471063195236977024085646466549524548253194054006869752147503995521190349772113174027207120416665033273928205988927667393636268820183663660419920640131707923959614888857707801337845740593703588724736) (sqrt f64 (* f64 (* f64 2 (* f64 h1 h2)) (+ f64 (- f64 h5 (* f64 2 (/ f64 (* f64 h0 h0) h3))) (neg f64 (* f64 h2 (* f64 (pow f64 (/ f64 h0 h3) 2) (- f64 h1 h4))))))) (if real (<= f64 h0 451855368630720467440405304271028626488591709022793980048343696422550911422030972208342554087451067048575752072158350075147202824938033211876797639273274775662516941673257468778512384) (* f64 (sqrt f64 (* f64 (cbrt f64 h1) (cbrt f64 h1))) (sqrt f64 (* f64 (cbrt f64 h1) (* f64 2 (* f64 h2 (+ f64 h5 (neg f64 (* f64 (/ f64 h0 h3) (- f64 (* f64 2 h0) (* f64 h2 (* f64 (- f64 h4 h1) (/ f64 h0 h3)))))))))))) (* f64 (sqrt f64 (* f64 (* f64 h1 h2) (- f64 (* f64 (/ f64 h2 h3) (/ f64 h4 h3)) (+ f64 (/ f64 (* f64 h1 h2) (* f64 h3 h3)) (/ f64 2 h3))))) (* f64 (sqrt f64 2) h0))))))
*-commutative_binary64_350 =>
(if real (<= f64 h0 -2912833474004503406016273552397485052843796411607632493198257004679996826981968533275804679560886390537310452147281219913951887587288729474869005123584) (* f64 (sqrt f64 2) (* f64 h0 (neg f64 (sqrt f64 (* f64 h1 (* f64 h2 (- f64 (- f64 (* f64 (/ f64 h2 h3) (/ f64 h4 h3)) (/ f64 2 h3)) (* f64 (/ f64 h2 h3) (/ f64 h1 h3))))))))) (if real (<= f64 h0 -7899465407539937/543885304644369509058138323509727874385503352552480689356230797517213245297512696564902402319594788524942673393916417039714897241756372213155348458256985448390483221335442656288489603072) (* f64 (sqrt f64 (* f64 (cbrt f64 h1) (cbrt f64 h1))) (sqrt f64 (* f64 (cbrt f64 h1) (* f64 (* f64 2 h2) (+ f64 h5 (neg f64 (* f64 (/ f64 h0 h3) (- f64 (* f64 2 h0) (* f64 (* f64 h2 (/ f64 h0 h3)) (- f64 h4 h1)))))))))) (if real (<= f64 h0 7854216371632253/458222462695599379270700542938797415851547826754730440471063195236977024085646466549524548253194054006869752147503995521190349772113174027207120416665033273928205988927667393636268820183663660419920640131707923959614888857707801337845740593703588724736) (sqrt f64 (* f64 (* f64 2 (* f64 h1 h2)) (+ f64 (- f64 h5 (* f64 2 (/ f64 (* f64 h0 h0) h3))) (neg f64 (* f64 h2 (* f64 (pow f64 (/ f64 h0 h3) 2) (- f64 h1 h4))))))) (if real (<= f64 h0 451855368630720467440405304271028626488591709022793980048343696422550911422030972208342554087451067048575752072158350075147202824938033211876797639273274775662516941673257468778512384) (* f64 (sqrt f64 (* f64 (cbrt f64 h1) (cbrt f64 h1))) (sqrt f64 (* f64 (cbrt f64 h1) (* f64 2 (* f64 h2 (+ f64 h5 (neg f64 (* f64 (/ f64 h0 h3) (- f64 (* f64 2 h0) (* f64 h2 (* f64 (- f64 h4 h1) (/ f64 h0 h3)))))))))))) (* f64 (sqrt f64 (* f64 (* f64 h1 h2) (- f64 (* f64 (/ f64 h2 h3) (/ f64 h4 h3)) (+ f64 (/ f64 (* f64 h1 h2) (* f64 h3 h3)) (/ f64 2 h3))))) (=> (* f64 (sqrt f64 2) h0)))))))
*-commutative_binary64_350 =>
(if real (<= f64 h0 -2912833474004503406016273552397485052843796411607632493198257004679996826981968533275804679560886390537310452147281219913951887587288729474869005123584) (* f64 (sqrt f64 2) (* f64 h0 (neg f64 (sqrt f64 (* f64 h1 (* f64 h2 (- f64 (- f64 (* f64 (/ f64 h2 h3) (/ f64 h4 h3)) (/ f64 2 h3)) (* f64 (/ f64 h2 h3) (/ f64 h1 h3))))))))) (if real (<= f64 h0 -7899465407539937/543885304644369509058138323509727874385503352552480689356230797517213245297512696564902402319594788524942673393916417039714897241756372213155348458256985448390483221335442656288489603072) (* f64 (sqrt f64 (* f64 (cbrt f64 h1) (cbrt f64 h1))) (sqrt f64 (* f64 (cbrt f64 h1) (* f64 (* f64 2 h2) (+ f64 h5 (neg f64 (* f64 (/ f64 h0 h3) (- f64 (* f64 2 h0) (* f64 (* f64 h2 (/ f64 h0 h3)) (- f64 h4 h1)))))))))) (if real (<= f64 h0 7854216371632253/458222462695599379270700542938797415851547826754730440471063195236977024085646466549524548253194054006869752147503995521190349772113174027207120416665033273928205988927667393636268820183663660419920640131707923959614888857707801337845740593703588724736) (sqrt f64 (* f64 (* f64 2 (* f64 h1 h2)) (+ f64 (- f64 h5 (* f64 2 (/ f64 (* f64 h0 h0) h3))) (neg f64 (* f64 h2 (* f64 (pow f64 (/ f64 h0 h3) 2) (- f64 h1 h4))))))) (if real (<= f64 h0 451855368630720467440405304271028626488591709022793980048343696422550911422030972208342554087451067048575752072158350075147202824938033211876797639273274775662516941673257468778512384) (* f64 (sqrt f64 (* f64 (cbrt f64 h1) (cbrt f64 h1))) (sqrt f64 (* f64 (cbrt f64 h1) (* f64 2 (* f64 h2 (+ f64 h5 (neg f64 (* f64 (/ f64 h0 h3) (- f64 (* f64 2 h0) (* f64 h2 (* f64 (- f64 h4 h1) (/ f64 h0 h3)))))))))))) (* f64 (sqrt f64 (* f64 (* f64 h1 h2) (- f64 (* f64 (/ f64 h2 h3) (/ f64 h4 h3)) (=> (+ f64 (/ f64 (* f64 h1 h2) (* f64 h3 h3)) (/ f64 2 h3)))))) (* f64 h0 (sqrt f64 2)))))))
+-commutative_binary64_349 =>
(if real (<= f64 h0 -2912833474004503406016273552397485052843796411607632493198257004679996826981968533275804679560886390537310452147281219913951887587288729474869005123584) (* f64 (sqrt f64 2) (* f64 h0 (neg f64 (sqrt f64 (* f64 h1 (* f64 h2 (- f64 (- f64 (* f64 (/ f64 h2 h3) (/ f64 h4 h3)) (/ f64 2 h3)) (* f64 (/ f64 h2 h3) (/ f64 h1 h3))))))))) (if real (<= f64 h0 -7899465407539937/543885304644369509058138323509727874385503352552480689356230797517213245297512696564902402319594788524942673393916417039714897241756372213155348458256985448390483221335442656288489603072) (* f64 (sqrt f64 (* f64 (cbrt f64 h1) (cbrt f64 h1))) (sqrt f64 (* f64 (cbrt f64 h1) (* f64 (* f64 2 h2) (+ f64 h5 (neg f64 (* f64 (/ f64 h0 h3) (- f64 (* f64 2 h0) (* f64 (* f64 h2 (/ f64 h0 h3)) (- f64 h4 h1)))))))))) (if real (<= f64 h0 7854216371632253/458222462695599379270700542938797415851547826754730440471063195236977024085646466549524548253194054006869752147503995521190349772113174027207120416665033273928205988927667393636268820183663660419920640131707923959614888857707801337845740593703588724736) (sqrt f64 (* f64 (* f64 2 (* f64 h1 h2)) (+ f64 (- f64 h5 (* f64 2 (/ f64 (* f64 h0 h0) h3))) (=> (neg f64 (* f64 h2 (* f64 (pow f64 (/ f64 h0 h3) 2) (- f64 h1 h4)))))))) (if real (<= f64 h0 451855368630720467440405304271028626488591709022793980048343696422550911422030972208342554087451067048575752072158350075147202824938033211876797639273274775662516941673257468778512384) (* f64 (sqrt f64 (* f64 (cbrt f64 h1) (cbrt f64 h1))) (sqrt f64 (* f64 (cbrt f64 h1) (* f64 2 (* f64 h2 (+ f64 h5 (neg f64 (* f64 (/ f64 h0 h3) (- f64 (* f64 2 h0) (* f64 h2 (* f64 (- f64 h4 h1) (/ f64 h0 h3)))))))))))) (* f64 (sqrt f64 (* f64 (* f64 h1 h2) (- f64 (* f64 (/ f64 h2 h3) (/ f64 h4 h3)) (+ f64 (/ f64 2 h3) (/ f64 (* f64 h1 h2) (* f64 h3 h3)))))) (* f64 h0 (sqrt f64 2)))))))
distribute-rgt-neg-in_binary64_377 =>
(if real (<= f64 h0 -2912833474004503406016273552397485052843796411607632493198257004679996826981968533275804679560886390537310452147281219913951887587288729474869005123584) (* f64 (sqrt f64 2) (* f64 h0 (neg f64 (sqrt f64 (* f64 h1 (* f64 h2 (- f64 (- f64 (* f64 (/ f64 h2 h3) (/ f64 h4 h3)) (/ f64 2 h3)) (* f64 (/ f64 h2 h3) (/ f64 h1 h3))))))))) (if real (<= f64 h0 -7899465407539937/543885304644369509058138323509727874385503352552480689356230797517213245297512696564902402319594788524942673393916417039714897241756372213155348458256985448390483221335442656288489603072) (* f64 (sqrt f64 (* f64 (cbrt f64 h1) (cbrt f64 h1))) (sqrt f64 (* f64 (cbrt f64 h1) (* f64 (* f64 2 h2) (+ f64 h5 (neg f64 (* f64 (/ f64 h0 h3) (- f64 (* f64 2 h0) (* f64 (* f64 h2 (/ f64 h0 h3)) (- f64 h4 h1)))))))))) (if real (<= f64 h0 7854216371632253/458222462695599379270700542938797415851547826754730440471063195236977024085646466549524548253194054006869752147503995521190349772113174027207120416665033273928205988927667393636268820183663660419920640131707923959614888857707801337845740593703588724736) (sqrt f64 (* f64 (* f64 2 (* f64 h1 h2)) (+ f64 (- f64 h5 (* f64 2 (/ f64 (* f64 h0 h0) h3))) (* f64 h2 (neg f64 (=> (* f64 (pow f64 (/ f64 h0 h3) 2) (- f64 h1 h4)))))))) (if real (<= f64 h0 451855368630720467440405304271028626488591709022793980048343696422550911422030972208342554087451067048575752072158350075147202824938033211876797639273274775662516941673257468778512384) (* f64 (sqrt f64 (* f64 (cbrt f64 h1) (cbrt f64 h1))) (sqrt f64 (* f64 (cbrt f64 h1) (* f64 2 (* f64 h2 (+ f64 h5 (neg f64 (* f64 (/ f64 h0 h3) (- f64 (* f64 2 h0) (* f64 h2 (* f64 (- f64 h4 h1) (/ f64 h0 h3)))))))))))) (* f64 (sqrt f64 (* f64 (* f64 h1 h2) (- f64 (* f64 (/ f64 h2 h3) (/ f64 h4 h3)) (+ f64 (/ f64 2 h3) (/ f64 (* f64 h1 h2) (* f64 h3 h3)))))) (* f64 h0 (sqrt f64 2)))))))
*-commutative_binary64_350 =>
(if real (<= f64 h0 -2912833474004503406016273552397485052843796411607632493198257004679996826981968533275804679560886390537310452147281219913951887587288729474869005123584) (* f64 (sqrt f64 2) (* f64 h0 (neg f64 (sqrt f64 (* f64 h1 (* f64 h2 (- f64 (- f64 (* f64 (/ f64 h2 h3) (/ f64 h4 h3)) (/ f64 2 h3)) (* f64 (/ f64 h2 h3) (/ f64 h1 h3))))))))) (if real (<= f64 h0 -7899465407539937/543885304644369509058138323509727874385503352552480689356230797517213245297512696564902402319594788524942673393916417039714897241756372213155348458256985448390483221335442656288489603072) (* f64 (sqrt f64 (* f64 (cbrt f64 h1) (cbrt f64 h1))) (sqrt f64 (* f64 (cbrt f64 h1) (* f64 (* f64 2 h2) (+ f64 h5 (=> (neg f64 (* f64 (/ f64 h0 h3) (- f64 (* f64 2 h0) (* f64 (* f64 h2 (/ f64 h0 h3)) (- f64 h4 h1))))))))))) (if real (<= f64 h0 7854216371632253/458222462695599379270700542938797415851547826754730440471063195236977024085646466549524548253194054006869752147503995521190349772113174027207120416665033273928205988927667393636268820183663660419920640131707923959614888857707801337845740593703588724736) (sqrt f64 (* f64 (* f64 2 (* f64 h1 h2)) (+ f64 (- f64 h5 (* f64 2 (/ f64 (* f64 h0 h0) h3))) (* f64 h2 (neg f64 (* f64 (- f64 h1 h4) (pow f64 (/ f64 h0 h3) 2))))))) (if real (<= f64 h0 451855368630720467440405304271028626488591709022793980048343696422550911422030972208342554087451067048575752072158350075147202824938033211876797639273274775662516941673257468778512384) (* f64 (sqrt f64 (* f64 (cbrt f64 h1) (cbrt f64 h1))) (sqrt f64 (* f64 (cbrt f64 h1) (* f64 2 (* f64 h2 (+ f64 h5 (neg f64 (* f64 (/ f64 h0 h3) (- f64 (* f64 2 h0) (* f64 h2 (* f64 (- f64 h4 h1) (/ f64 h0 h3)))))))))))) (* f64 (sqrt f64 (* f64 (* f64 h1 h2) (- f64 (* f64 (/ f64 h2 h3) (/ f64 h4 h3)) (+ f64 (/ f64 2 h3) (/ f64 (* f64 h1 h2) (* f64 h3 h3)))))) (* f64 h0 (sqrt f64 2)))))))
distribute-rgt-neg-in_binary64_377 =>
(if real (<= f64 h0 -2912833474004503406016273552397485052843796411607632493198257004679996826981968533275804679560886390537310452147281219913951887587288729474869005123584) (* f64 (sqrt f64 2) (* f64 h0 (neg f64 (sqrt f64 (* f64 h1 (* f64 h2 (- f64 (- f64 (* f64 (/ f64 h2 h3) (/ f64 h4 h3)) (/ f64 2 h3)) (* f64 (/ f64 h2 h3) (/ f64 h1 h3))))))))) (if real (<= f64 h0 -7899465407539937/543885304644369509058138323509727874385503352552480689356230797517213245297512696564902402319594788524942673393916417039714897241756372213155348458256985448390483221335442656288489603072) (* f64 (sqrt f64 (* f64 (cbrt f64 h1) (cbrt f64 h1))) (sqrt f64 (* f64 (cbrt f64 h1) (* f64 (* f64 2 h2) (+ f64 h5 (* f64 (/ f64 h0 h3) (neg f64 (=> (- f64 (* f64 2 h0) (* f64 (* f64 h2 (/ f64 h0 h3)) (- f64 h4 h1))))))))))) (if real (<= f64 h0 7854216371632253/458222462695599379270700542938797415851547826754730440471063195236977024085646466549524548253194054006869752147503995521190349772113174027207120416665033273928205988927667393636268820183663660419920640131707923959614888857707801337845740593703588724736) (sqrt f64 (* f64 (* f64 2 (* f64 h1 h2)) (+ f64 (- f64 h5 (* f64 2 (/ f64 (* f64 h0 h0) h3))) (* f64 h2 (neg f64 (* f64 (- f64 h1 h4) (pow f64 (/ f64 h0 h3) 2))))))) (if real (<= f64 h0 451855368630720467440405304271028626488591709022793980048343696422550911422030972208342554087451067048575752072158350075147202824938033211876797639273274775662516941673257468778512384) (* f64 (sqrt f64 (* f64 (cbrt f64 h1) (cbrt f64 h1))) (sqrt f64 (* f64 (cbrt f64 h1) (* f64 2 (* f64 h2 (+ f64 h5 (neg f64 (* f64 (/ f64 h0 h3) (- f64 (* f64 2 h0) (* f64 h2 (* f64 (- f64 h4 h1) (/ f64 h0 h3)))))))))))) (* f64 (sqrt f64 (* f64 (* f64 h1 h2) (- f64 (* f64 (/ f64 h2 h3) (/ f64 h4 h3)) (+ f64 (/ f64 2 h3) (/ f64 (* f64 h1 h2) (* f64 h3 h3)))))) (* f64 h0 (sqrt f64 2)))))))
sub-neg_binary64_412 =>
(if real (<= f64 h0 -2912833474004503406016273552397485052843796411607632493198257004679996826981968533275804679560886390537310452147281219913951887587288729474869005123584) (* f64 (sqrt f64 2) (* f64 h0 (neg f64 (sqrt f64 (* f64 h1 (* f64 h2 (- f64 (- f64 (* f64 (/ f64 h2 h3) (/ f64 h4 h3)) (/ f64 2 h3)) (* f64 (/ f64 h2 h3) (/ f64 h1 h3))))))))) (if real (<= f64 h0 -7899465407539937/543885304644369509058138323509727874385503352552480689356230797517213245297512696564902402319594788524942673393916417039714897241756372213155348458256985448390483221335442656288489603072) (* f64 (sqrt f64 (* f64 (cbrt f64 h1) (cbrt f64 h1))) (sqrt f64 (* f64 (cbrt f64 h1) (* f64 (* f64 2 h2) (+ f64 h5 (* f64 (/ f64 h0 h3) (neg f64 (+ f64 (* f64 2 h0) (neg f64 (* f64 (* f64 h2 (/ f64 h0 h3)) (- f64 h4 h1))))))))))) (if real (<= f64 h0 7854216371632253/458222462695599379270700542938797415851547826754730440471063195236977024085646466549524548253194054006869752147503995521190349772113174027207120416665033273928205988927667393636268820183663660419920640131707923959614888857707801337845740593703588724736) (sqrt f64 (* f64 (* f64 2 (* f64 h1 h2)) (+ f64 (- f64 h5 (* f64 2 (/ f64 (* f64 h0 h0) h3))) (* f64 h2 (neg f64 (* f64 (- f64 h1 h4) (pow f64 (/ f64 h0 h3) 2))))))) (if real (<= f64 h0 451855368630720467440405304271028626488591709022793980048343696422550911422030972208342554087451067048575752072158350075147202824938033211876797639273274775662516941673257468778512384) (* f64 (sqrt f64 (* f64 (cbrt f64 h1) (cbrt f64 h1))) (sqrt f64 (* f64 (cbrt f64 h1) (* f64 2 (* f64 h2 (+ f64 h5 (=> (neg f64 (* f64 (/ f64 h0 h3) (- f64 (* f64 2 h0) (* f64 h2 (* f64 (- f64 h4 h1) (/ f64 h0 h3))))))))))))) (* f64 (sqrt f64 (* f64 (* f64 h1 h2) (- f64 (* f64 (/ f64 h2 h3) (/ f64 h4 h3)) (+ f64 (/ f64 2 h3) (/ f64 (* f64 h1 h2) (* f64 h3 h3)))))) (* f64 h0 (sqrt f64 2)))))))
distribute-rgt-neg-in_binary64_377 =>
(if real (<= f64 h0 -2912833474004503406016273552397485052843796411607632493198257004679996826981968533275804679560886390537310452147281219913951887587288729474869005123584) (* f64 (sqrt f64 2) (* f64 h0 (neg f64 (sqrt f64 (* f64 h1 (* f64 h2 (- f64 (- f64 (* f64 (/ f64 h2 h3) (/ f64 h4 h3)) (/ f64 2 h3)) (* f64 (/ f64 h2 h3) (/ f64 h1 h3))))))))) (if real (<= f64 h0 -7899465407539937/543885304644369509058138323509727874385503352552480689356230797517213245297512696564902402319594788524942673393916417039714897241756372213155348458256985448390483221335442656288489603072) (* f64 (sqrt f64 (* f64 (cbrt f64 h1) (cbrt f64 h1))) (sqrt f64 (* f64 (cbrt f64 h1) (* f64 (* f64 2 h2) (+ f64 h5 (* f64 (/ f64 h0 h3) (neg f64 (+ f64 (* f64 2 h0) (neg f64 (* f64 (* f64 h2 (/ f64 h0 h3)) (- f64 h4 h1))))))))))) (if real (<= f64 h0 7854216371632253/458222462695599379270700542938797415851547826754730440471063195236977024085646466549524548253194054006869752147503995521190349772113174027207120416665033273928205988927667393636268820183663660419920640131707923959614888857707801337845740593703588724736) (sqrt f64 (* f64 (* f64 2 (* f64 h1 h2)) (+ f64 (- f64 h5 (* f64 2 (/ f64 (* f64 h0 h0) h3))) (* f64 h2 (neg f64 (* f64 (- f64 h1 h4) (pow f64 (/ f64 h0 h3) 2))))))) (if real (<= f64 h0 451855368630720467440405304271028626488591709022793980048343696422550911422030972208342554087451067048575752072158350075147202824938033211876797639273274775662516941673257468778512384) (* f64 (sqrt f64 (* f64 (cbrt f64 h1) (cbrt f64 h1))) (sqrt f64 (* f64 (cbrt f64 h1) (* f64 2 (* f64 h2 (+ f64 h5 (* f64 (/ f64 h0 h3) (neg f64 (=> (- f64 (* f64 2 h0) (* f64 h2 (* f64 (- f64 h4 h1) (/ f64 h0 h3))))))))))))) (* f64 (sqrt f64 (* f64 (* f64 h1 h2) (- f64 (* f64 (/ f64 h2 h3) (/ f64 h4 h3)) (+ f64 (/ f64 2 h3) (/ f64 (* f64 h1 h2) (* f64 h3 h3)))))) (* f64 h0 (sqrt f64 2)))))))
sub-neg_binary64_412 =>
(if real (<= f64 h0 -2912833474004503406016273552397485052843796411607632493198257004679996826981968533275804679560886390537310452147281219913951887587288729474869005123584) (* f64 (sqrt f64 2) (* f64 h0 (neg f64 (sqrt f64 (* f64 h1 (* f64 h2 (- f64 (- f64 (* f64 (/ f64 h2 h3) (/ f64 h4 h3)) (/ f64 2 h3)) (* f64 (/ f64 h2 h3) (/ f64 h1 h3))))))))) (if real (<= f64 h0 -7899465407539937/543885304644369509058138323509727874385503352552480689356230797517213245297512696564902402319594788524942673393916417039714897241756372213155348458256985448390483221335442656288489603072) (* f64 (sqrt f64 (* f64 (cbrt f64 h1) (cbrt f64 h1))) (sqrt f64 (* f64 (cbrt f64 h1) (* f64 (* f64 2 h2) (+ f64 h5 (* f64 (/ f64 h0 h3) (neg f64 (=> (+ f64 (* f64 2 h0) (neg f64 (* f64 (* f64 h2 (/ f64 h0 h3)) (- f64 h4 h1)))))))))))) (if real (<= f64 h0 7854216371632253/458222462695599379270700542938797415851547826754730440471063195236977024085646466549524548253194054006869752147503995521190349772113174027207120416665033273928205988927667393636268820183663660419920640131707923959614888857707801337845740593703588724736) (sqrt f64 (* f64 (* f64 2 (* f64 h1 h2)) (+ f64 (- f64 h5 (* f64 2 (/ f64 (* f64 h0 h0) h3))) (* f64 h2 (neg f64 (* f64 (- f64 h1 h4) (pow f64 (/ f64 h0 h3) 2))))))) (if real (<= f64 h0 451855368630720467440405304271028626488591709022793980048343696422550911422030972208342554087451067048575752072158350075147202824938033211876797639273274775662516941673257468778512384) (* f64 (sqrt f64 (* f64 (cbrt f64 h1) (cbrt f64 h1))) (sqrt f64 (* f64 (cbrt f64 h1) (* f64 2 (* f64 h2 (+ f64 h5 (* f64 (/ f64 h0 h3) (neg f64 (+ f64 (* f64 2 h0) (neg f64 (* f64 h2 (* f64 (- f64 h4 h1) (/ f64 h0 h3))))))))))))) (* f64 (sqrt f64 (* f64 (* f64 h1 h2) (- f64 (* f64 (/ f64 h2 h3) (/ f64 h4 h3)) (+ f64 (/ f64 2 h3) (/ f64 (* f64 h1 h2) (* f64 h3 h3)))))) (* f64 h0 (sqrt f64 2)))))))
+-commutative_binary64_349 =>
(if real (<= f64 h0 -2912833474004503406016273552397485052843796411607632493198257004679996826981968533275804679560886390537310452147281219913951887587288729474869005123584) (* f64 (sqrt f64 2) (* f64 h0 (neg f64 (sqrt f64 (* f64 h1 (* f64 h2 (- f64 (- f64 (* f64 (/ f64 h2 h3) (/ f64 h4 h3)) (/ f64 2 h3)) (* f64 (/ f64 h2 h3) (/ f64 h1 h3))))))))) (if real (<= f64 h0 -7899465407539937/543885304644369509058138323509727874385503352552480689356230797517213245297512696564902402319594788524942673393916417039714897241756372213155348458256985448390483221335442656288489603072) (* f64 (sqrt f64 (* f64 (cbrt f64 h1) (cbrt f64 h1))) (sqrt f64 (* f64 (cbrt f64 h1) (* f64 (* f64 2 h2) (+ f64 h5 (* f64 (/ f64 h0 h3) (neg f64 (+ f64 (neg f64 (* f64 (* f64 h2 (/ f64 h0 h3)) (- f64 h4 h1))) (* f64 2 h0))))))))) (if real (<= f64 h0 7854216371632253/458222462695599379270700542938797415851547826754730440471063195236977024085646466549524548253194054006869752147503995521190349772113174027207120416665033273928205988927667393636268820183663660419920640131707923959614888857707801337845740593703588724736) (sqrt f64 (* f64 (* f64 2 (* f64 h1 h2)) (+ f64 (- f64 h5 (* f64 2 (/ f64 (* f64 h0 h0) h3))) (* f64 h2 (neg f64 (* f64 (- f64 h1 h4) (pow f64 (/ f64 h0 h3) 2))))))) (if real (<= f64 h0 451855368630720467440405304271028626488591709022793980048343696422550911422030972208342554087451067048575752072158350075147202824938033211876797639273274775662516941673257468778512384) (* f64 (sqrt f64 (* f64 (cbrt f64 h1) (cbrt f64 h1))) (sqrt f64 (* f64 (cbrt f64 h1) (* f64 2 (* f64 h2 (+ f64 h5 (* f64 (/ f64 h0 h3) (neg f64 (=> (+ f64 (* f64 2 h0) (neg f64 (* f64 h2 (* f64 (- f64 h4 h1) (/ f64 h0 h3)))))))))))))) (* f64 (sqrt f64 (* f64 (* f64 h1 h2) (- f64 (* f64 (/ f64 h2 h3) (/ f64 h4 h3)) (+ f64 (/ f64 2 h3) (/ f64 (* f64 h1 h2) (* f64 h3 h3)))))) (* f64 h0 (sqrt f64 2)))))))
+-commutative_binary64_349 =>
(if real (<= f64 h0 -2912833474004503406016273552397485052843796411607632493198257004679996826981968533275804679560886390537310452147281219913951887587288729474869005123584) (* f64 (sqrt f64 2) (* f64 h0 (neg f64 (sqrt f64 (* f64 h1 (* f64 h2 (- f64 (- f64 (* f64 (/ f64 h2 h3) (/ f64 h4 h3)) (/ f64 2 h3)) (* f64 (/ f64 h2 h3) (/ f64 h1 h3))))))))) (if real (<= f64 h0 -7899465407539937/543885304644369509058138323509727874385503352552480689356230797517213245297512696564902402319594788524942673393916417039714897241756372213155348458256985448390483221335442656288489603072) (* f64 (sqrt f64 (* f64 (cbrt f64 h1) (cbrt f64 h1))) (sqrt f64 (* f64 (cbrt f64 h1) (* f64 (* f64 2 h2) (+ f64 h5 (* f64 (/ f64 h0 h3) (neg f64 (+ f64 (neg f64 (* f64 (* f64 h2 (/ f64 h0 h3)) (- f64 h4 h1))) (* f64 2 h0))))))))) (if real (<= f64 h0 7854216371632253/458222462695599379270700542938797415851547826754730440471063195236977024085646466549524548253194054006869752147503995521190349772113174027207120416665033273928205988927667393636268820183663660419920640131707923959614888857707801337845740593703588724736) (sqrt f64 (* f64 (* f64 2 (* f64 h1 h2)) (+ f64 (- f64 h5 (* f64 2 (/ f64 (* f64 h0 h0) h3))) (* f64 h2 (neg f64 (* f64 (- f64 h1 h4) (pow f64 (/ f64 h0 h3) 2))))))) (if real (<= f64 h0 451855368630720467440405304271028626488591709022793980048343696422550911422030972208342554087451067048575752072158350075147202824938033211876797639273274775662516941673257468778512384) (* f64 (sqrt f64 (* f64 (cbrt f64 h1) (cbrt f64 h1))) (sqrt f64 (* f64 (cbrt f64 h1) (* f64 2 (* f64 h2 (+ f64 h5 (* f64 (/ f64 h0 h3) (=> (neg f64 (+ f64 (neg f64 (* f64 h2 (* f64 (- f64 h4 h1) (/ f64 h0 h3)))) (* f64 2 h0))))))))))) (* f64 (sqrt f64 (* f64 (* f64 h1 h2) (- f64 (* f64 (/ f64 h2 h3) (/ f64 h4 h3)) (+ f64 (/ f64 2 h3) (/ f64 (* f64 h1 h2) (* f64 h3 h3)))))) (* f64 h0 (sqrt f64 2)))))))
distribute-neg-in_binary64_380 =>
(if real (<= f64 h0 -2912833474004503406016273552397485052843796411607632493198257004679996826981968533275804679560886390537310452147281219913951887587288729474869005123584) (* f64 (sqrt f64 2) (* f64 h0 (neg f64 (sqrt f64 (* f64 h1 (* f64 h2 (- f64 (- f64 (* f64 (/ f64 h2 h3) (/ f64 h4 h3)) (/ f64 2 h3)) (* f64 (/ f64 h2 h3) (/ f64 h1 h3))))))))) (if real (<= f64 h0 -7899465407539937/543885304644369509058138323509727874385503352552480689356230797517213245297512696564902402319594788524942673393916417039714897241756372213155348458256985448390483221335442656288489603072) (* f64 (sqrt f64 (* f64 (cbrt f64 h1) (cbrt f64 h1))) (sqrt f64 (* f64 (cbrt f64 h1) (* f64 (* f64 2 h2) (+ f64 h5 (* f64 (/ f64 h0 h3) (=> (neg f64 (+ f64 (neg f64 (* f64 (* f64 h2 (/ f64 h0 h3)) (- f64 h4 h1))) (* f64 2 h0)))))))))) (if real (<= f64 h0 7854216371632253/458222462695599379270700542938797415851547826754730440471063195236977024085646466549524548253194054006869752147503995521190349772113174027207120416665033273928205988927667393636268820183663660419920640131707923959614888857707801337845740593703588724736) (sqrt f64 (* f64 (* f64 2 (* f64 h1 h2)) (+ f64 (- f64 h5 (* f64 2 (/ f64 (* f64 h0 h0) h3))) (* f64 h2 (neg f64 (* f64 (- f64 h1 h4) (pow f64 (/ f64 h0 h3) 2))))))) (if real (<= f64 h0 451855368630720467440405304271028626488591709022793980048343696422550911422030972208342554087451067048575752072158350075147202824938033211876797639273274775662516941673257468778512384) (* f64 (sqrt f64 (* f64 (cbrt f64 h1) (cbrt f64 h1))) (sqrt f64 (* f64 (cbrt f64 h1) (* f64 2 (* f64 h2 (+ f64 h5 (* f64 (/ f64 h0 h3) (+ f64 (neg f64 (neg f64 (* f64 h2 (* f64 (- f64 h4 h1) (/ f64 h0 h3))))) (neg f64 (* f64 2 h0)))))))))) (* f64 (sqrt f64 (* f64 (* f64 h1 h2) (- f64 (* f64 (/ f64 h2 h3) (/ f64 h4 h3)) (+ f64 (/ f64 2 h3) (/ f64 (* f64 h1 h2) (* f64 h3 h3)))))) (* f64 h0 (sqrt f64 2)))))))
distribute-neg-in_binary64_380 =>
(if real (<= f64 h0 -2912833474004503406016273552397485052843796411607632493198257004679996826981968533275804679560886390537310452147281219913951887587288729474869005123584) (* f64 (sqrt f64 2) (* f64 h0 (neg f64 (sqrt f64 (* f64 h1 (* f64 h2 (- f64 (- f64 (* f64 (/ f64 h2 h3) (/ f64 h4 h3)) (/ f64 2 h3)) (* f64 (/ f64 h2 h3) (/ f64 h1 h3))))))))) (if real (<= f64 h0 -7899465407539937/543885304644369509058138323509727874385503352552480689356230797517213245297512696564902402319594788524942673393916417039714897241756372213155348458256985448390483221335442656288489603072) (* f64 (sqrt f64 (* f64 (cbrt f64 h1) (cbrt f64 h1))) (sqrt f64 (* f64 (cbrt f64 h1) (* f64 (* f64 2 h2) (+ f64 h5 (* f64 (/ f64 h0 h3) (+ f64 (neg f64 (neg f64 (* f64 (* f64 h2 (/ f64 h0 h3)) (- f64 h4 h1)))) (neg f64 (* f64 2 h0))))))))) (if real (<= f64 h0 7854216371632253/458222462695599379270700542938797415851547826754730440471063195236977024085646466549524548253194054006869752147503995521190349772113174027207120416665033273928205988927667393636268820183663660419920640131707923959614888857707801337845740593703588724736) (sqrt f64 (* f64 (* f64 2 (* f64 h1 h2)) (+ f64 (- f64 h5 (* f64 2 (/ f64 (* f64 h0 h0) h3))) (* f64 h2 (=> (neg f64 (* f64 (- f64 h1 h4) (pow f64 (/ f64 h0 h3) 2)))))))) (if real (<= f64 h0 451855368630720467440405304271028626488591709022793980048343696422550911422030972208342554087451067048575752072158350075147202824938033211876797639273274775662516941673257468778512384) (* f64 (sqrt f64 (* f64 (cbrt f64 h1) (cbrt f64 h1))) (sqrt f64 (* f64 (cbrt f64 h1) (* f64 2 (* f64 h2 (+ f64 h5 (* f64 (/ f64 h0 h3) (+ f64 (neg f64 (neg f64 (* f64 h2 (* f64 (- f64 h4 h1) (/ f64 h0 h3))))) (neg f64 (* f64 2 h0)))))))))) (* f64 (sqrt f64 (* f64 (* f64 h1 h2) (- f64 (* f64 (/ f64 h2 h3) (/ f64 h4 h3)) (+ f64 (/ f64 2 h3) (/ f64 (* f64 h1 h2) (* f64 h3 h3)))))) (* f64 h0 (sqrt f64 2)))))))
distribute-lft-neg-in_binary64_376 =>
(if real (<= f64 h0 -2912833474004503406016273552397485052843796411607632493198257004679996826981968533275804679560886390537310452147281219913951887587288729474869005123584) (* f64 (sqrt f64 2) (* f64 h0 (neg f64 (sqrt f64 (* f64 h1 (* f64 h2 (- f64 (- f64 (* f64 (/ f64 h2 h3) (/ f64 h4 h3)) (/ f64 2 h3)) (* f64 (/ f64 h2 h3) (/ f64 h1 h3))))))))) (if real (<= f64 h0 -7899465407539937/543885304644369509058138323509727874385503352552480689356230797517213245297512696564902402319594788524942673393916417039714897241756372213155348458256985448390483221335442656288489603072) (* f64 (sqrt f64 (* f64 (cbrt f64 h1) (cbrt f64 h1))) (sqrt f64 (* f64 (cbrt f64 h1) (* f64 (* f64 2 h2) (+ f64 h5 (* f64 (/ f64 h0 h3) (+ f64 (neg f64 (neg f64 (* f64 (* f64 h2 (/ f64 h0 h3)) (- f64 h4 h1)))) (neg f64 (* f64 2 h0))))))))) (if real (<= f64 h0 7854216371632253/458222462695599379270700542938797415851547826754730440471063195236977024085646466549524548253194054006869752147503995521190349772113174027207120416665033273928205988927667393636268820183663660419920640131707923959614888857707801337845740593703588724736) (sqrt f64 (* f64 (* f64 2 (* f64 h1 h2)) (+ f64 (- f64 h5 (* f64 2 (/ f64 (* f64 h0 h0) h3))) (* f64 h2 (* f64 (neg f64 (=> (- f64 h1 h4))) (pow f64 (/ f64 h0 h3) 2)))))) (if real (<= f64 h0 451855368630720467440405304271028626488591709022793980048343696422550911422030972208342554087451067048575752072158350075147202824938033211876797639273274775662516941673257468778512384) (* f64 (sqrt f64 (* f64 (cbrt f64 h1) (cbrt f64 h1))) (sqrt f64 (* f64 (cbrt f64 h1) (* f64 2 (* f64 h2 (+ f64 h5 (* f64 (/ f64 h0 h3) (+ f64 (neg f64 (neg f64 (* f64 h2 (* f64 (- f64 h4 h1) (/ f64 h0 h3))))) (neg f64 (* f64 2 h0)))))))))) (* f64 (sqrt f64 (* f64 (* f64 h1 h2) (- f64 (* f64 (/ f64 h2 h3) (/ f64 h4 h3)) (+ f64 (/ f64 2 h3) (/ f64 (* f64 h1 h2) (* f64 h3 h3)))))) (* f64 h0 (sqrt f64 2)))))))
sub-neg_binary64_412 =>
(if real (<= f64 h0 -2912833474004503406016273552397485052843796411607632493198257004679996826981968533275804679560886390537310452147281219913951887587288729474869005123584) (* f64 (sqrt f64 2) (* f64 h0 (neg f64 (sqrt f64 (* f64 h1 (* f64 h2 (- f64 (- f64 (* f64 (/ f64 h2 h3) (/ f64 h4 h3)) (/ f64 2 h3)) (* f64 (/ f64 h2 h3) (/ f64 h1 h3))))))))) (if real (<= f64 h0 -7899465407539937/543885304644369509058138323509727874385503352552480689356230797517213245297512696564902402319594788524942673393916417039714897241756372213155348458256985448390483221335442656288489603072) (* f64 (sqrt f64 (* f64 (cbrt f64 h1) (cbrt f64 h1))) (sqrt f64 (* f64 (cbrt f64 h1) (* f64 (* f64 2 h2) (+ f64 h5 (* f64 (/ f64 h0 h3) (+ f64 (neg f64 (neg f64 (* f64 (* f64 h2 (/ f64 h0 h3)) (- f64 h4 h1)))) (neg f64 (* f64 2 h0))))))))) (if real (<= f64 h0 7854216371632253/458222462695599379270700542938797415851547826754730440471063195236977024085646466549524548253194054006869752147503995521190349772113174027207120416665033273928205988927667393636268820183663660419920640131707923959614888857707801337845740593703588724736) (sqrt f64 (* f64 (* f64 2 (* f64 h1 h2)) (+ f64 (- f64 h5 (* f64 2 (/ f64 (* f64 h0 h0) h3))) (* f64 h2 (* f64 (neg f64 (=> (+ f64 h1 (neg f64 h4)))) (pow f64 (/ f64 h0 h3) 2)))))) (if real (<= f64 h0 451855368630720467440405304271028626488591709022793980048343696422550911422030972208342554087451067048575752072158350075147202824938033211876797639273274775662516941673257468778512384) (* f64 (sqrt f64 (* f64 (cbrt f64 h1) (cbrt f64 h1))) (sqrt f64 (* f64 (cbrt f64 h1) (* f64 2 (* f64 h2 (+ f64 h5 (* f64 (/ f64 h0 h3) (+ f64 (neg f64 (neg f64 (* f64 h2 (* f64 (- f64 h4 h1) (/ f64 h0 h3))))) (neg f64 (* f64 2 h0)))))))))) (* f64 (sqrt f64 (* f64 (* f64 h1 h2) (- f64 (* f64 (/ f64 h2 h3) (/ f64 h4 h3)) (+ f64 (/ f64 2 h3) (/ f64 (* f64 h1 h2) (* f64 h3 h3)))))) (* f64 h0 (sqrt f64 2)))))))
+-commutative_binary64_349 =>
(if real (<= f64 h0 -2912833474004503406016273552397485052843796411607632493198257004679996826981968533275804679560886390537310452147281219913951887587288729474869005123584) (* f64 (sqrt f64 2) (* f64 h0 (neg f64 (sqrt f64 (* f64 h1 (* f64 h2 (- f64 (- f64 (* f64 (/ f64 h2 h3) (/ f64 h4 h3)) (/ f64 2 h3)) (* f64 (/ f64 h2 h3) (/ f64 h1 h3))))))))) (if real (<= f64 h0 -7899465407539937/543885304644369509058138323509727874385503352552480689356230797517213245297512696564902402319594788524942673393916417039714897241756372213155348458256985448390483221335442656288489603072) (* f64 (sqrt f64 (* f64 (cbrt f64 h1) (cbrt f64 h1))) (sqrt f64 (* f64 (cbrt f64 h1) (* f64 (* f64 2 h2) (+ f64 h5 (* f64 (/ f64 h0 h3) (+ f64 (neg f64 (neg f64 (* f64 (* f64 h2 (/ f64 h0 h3)) (- f64 h4 h1)))) (neg f64 (* f64 2 h0))))))))) (if real (<= f64 h0 7854216371632253/458222462695599379270700542938797415851547826754730440471063195236977024085646466549524548253194054006869752147503995521190349772113174027207120416665033273928205988927667393636268820183663660419920640131707923959614888857707801337845740593703588724736) (sqrt f64 (* f64 (* f64 2 (* f64 h1 h2)) (+ f64 (- f64 h5 (* f64 2 (/ f64 (* f64 h0 h0) h3))) (* f64 h2 (* f64 (neg f64 (+ f64 (neg f64 h4) h1)) (pow f64 (/ f64 h0 h3) 2)))))) (if real (<= f64 h0 451855368630720467440405304271028626488591709022793980048343696422550911422030972208342554087451067048575752072158350075147202824938033211876797639273274775662516941673257468778512384) (* f64 (sqrt f64 (* f64 (cbrt f64 h1) (cbrt f64 h1))) (sqrt f64 (* f64 (cbrt f64 h1) (* f64 2 (* f64 h2 (+ f64 h5 (* f64 (/ f64 h0 h3) (=> (+ f64 (neg f64 (neg f64 (* f64 h2 (* f64 (- f64 h4 h1) (/ f64 h0 h3))))) (neg f64 (* f64 2 h0))))))))))) (* f64 (sqrt f64 (* f64 (* f64 h1 h2) (- f64 (* f64 (/ f64 h2 h3) (/ f64 h4 h3)) (+ f64 (/ f64 2 h3) (/ f64 (* f64 h1 h2) (* f64 h3 h3)))))) (* f64 h0 (sqrt f64 2)))))))
unsub-neg_binary64_413 =>
(if real (<= f64 h0 -2912833474004503406016273552397485052843796411607632493198257004679996826981968533275804679560886390537310452147281219913951887587288729474869005123584) (* f64 (sqrt f64 2) (* f64 h0 (neg f64 (sqrt f64 (* f64 h1 (* f64 h2 (- f64 (- f64 (* f64 (/ f64 h2 h3) (/ f64 h4 h3)) (/ f64 2 h3)) (* f64 (/ f64 h2 h3) (/ f64 h1 h3))))))))) (if real (<= f64 h0 -7899465407539937/543885304644369509058138323509727874385503352552480689356230797517213245297512696564902402319594788524942673393916417039714897241756372213155348458256985448390483221335442656288489603072) (* f64 (sqrt f64 (* f64 (cbrt f64 h1) (cbrt f64 h1))) (sqrt f64 (* f64 (cbrt f64 h1) (* f64 (* f64 2 h2) (+ f64 h5 (* f64 (/ f64 h0 h3) (+ f64 (neg f64 (neg f64 (* f64 (* f64 h2 (/ f64 h0 h3)) (- f64 h4 h1)))) (neg f64 (* f64 2 h0))))))))) (if real (<= f64 h0 7854216371632253/458222462695599379270700542938797415851547826754730440471063195236977024085646466549524548253194054006869752147503995521190349772113174027207120416665033273928205988927667393636268820183663660419920640131707923959614888857707801337845740593703588724736) (sqrt f64 (* f64 (* f64 2 (* f64 h1 h2)) (+ f64 (- f64 h5 (* f64 2 (/ f64 (* f64 h0 h0) h3))) (* f64 h2 (* f64 (neg f64 (+ f64 (neg f64 h4) h1)) (pow f64 (/ f64 h0 h3) 2)))))) (if real (<= f64 h0 451855368630720467440405304271028626488591709022793980048343696422550911422030972208342554087451067048575752072158350075147202824938033211876797639273274775662516941673257468778512384) (* f64 (sqrt f64 (* f64 (cbrt f64 h1) (cbrt f64 h1))) (sqrt f64 (* f64 (cbrt f64 h1) (* f64 2 (* f64 h2 (+ f64 h5 (* f64 (/ f64 h0 h3) (- f64 (neg f64 (neg f64 (* f64 h2 (* f64 (- f64 h4 h1) (/ f64 h0 h3))))) (=> (* f64 2 h0)))))))))) (* f64 (sqrt f64 (* f64 (* f64 h1 h2) (- f64 (* f64 (/ f64 h2 h3) (/ f64 h4 h3)) (+ f64 (/ f64 2 h3) (/ f64 (* f64 h1 h2) (* f64 h3 h3)))))) (* f64 h0 (sqrt f64 2)))))))
*-commutative_binary64_350 =>
(if real (<= f64 h0 -2912833474004503406016273552397485052843796411607632493198257004679996826981968533275804679560886390537310452147281219913951887587288729474869005123584) (* f64 (sqrt f64 2) (* f64 h0 (neg f64 (sqrt f64 (* f64 h1 (* f64 h2 (- f64 (- f64 (* f64 (/ f64 h2 h3) (/ f64 h4 h3)) (/ f64 2 h3)) (* f64 (/ f64 h2 h3) (/ f64 h1 h3))))))))) (if real (<= f64 h0 -7899465407539937/543885304644369509058138323509727874385503352552480689356230797517213245297512696564902402319594788524942673393916417039714897241756372213155348458256985448390483221335442656288489603072) (* f64 (sqrt f64 (* f64 (cbrt f64 h1) (cbrt f64 h1))) (sqrt f64 (* f64 (cbrt f64 h1) (* f64 (* f64 2 h2) (+ f64 h5 (* f64 (/ f64 h0 h3) (=> (+ f64 (neg f64 (neg f64 (* f64 (* f64 h2 (/ f64 h0 h3)) (- f64 h4 h1)))) (neg f64 (* f64 2 h0)))))))))) (if real (<= f64 h0 7854216371632253/458222462695599379270700542938797415851547826754730440471063195236977024085646466549524548253194054006869752147503995521190349772113174027207120416665033273928205988927667393636268820183663660419920640131707923959614888857707801337845740593703588724736) (sqrt f64 (* f64 (* f64 2 (* f64 h1 h2)) (+ f64 (- f64 h5 (* f64 2 (/ f64 (* f64 h0 h0) h3))) (* f64 h2 (* f64 (neg f64 (+ f64 (neg f64 h4) h1)) (pow f64 (/ f64 h0 h3) 2)))))) (if real (<= f64 h0 451855368630720467440405304271028626488591709022793980048343696422550911422030972208342554087451067048575752072158350075147202824938033211876797639273274775662516941673257468778512384) (* f64 (sqrt f64 (* f64 (cbrt f64 h1) (cbrt f64 h1))) (sqrt f64 (* f64 (cbrt f64 h1) (* f64 2 (* f64 h2 (+ f64 h5 (* f64 (/ f64 h0 h3) (- f64 (neg f64 (neg f64 (* f64 h2 (* f64 (- f64 h4 h1) (/ f64 h0 h3))))) (* f64 h0 2))))))))) (* f64 (sqrt f64 (* f64 (* f64 h1 h2) (- f64 (* f64 (/ f64 h2 h3) (/ f64 h4 h3)) (+ f64 (/ f64 2 h3) (/ f64 (* f64 h1 h2) (* f64 h3 h3)))))) (* f64 h0 (sqrt f64 2)))))))
unsub-neg_binary64_413 =>
(if real (<= f64 h0 -2912833474004503406016273552397485052843796411607632493198257004679996826981968533275804679560886390537310452147281219913951887587288729474869005123584) (* f64 (sqrt f64 2) (* f64 h0 (neg f64 (sqrt f64 (* f64 h1 (* f64 h2 (- f64 (- f64 (* f64 (/ f64 h2 h3) (/ f64 h4 h3)) (/ f64 2 h3)) (* f64 (/ f64 h2 h3) (/ f64 h1 h3))))))))) (if real (<= f64 h0 -7899465407539937/543885304644369509058138323509727874385503352552480689356230797517213245297512696564902402319594788524942673393916417039714897241756372213155348458256985448390483221335442656288489603072) (* f64 (sqrt f64 (* f64 (cbrt f64 h1) (cbrt f64 h1))) (sqrt f64 (* f64 (cbrt f64 h1) (* f64 (* f64 2 h2) (+ f64 h5 (* f64 (/ f64 h0 h3) (- f64 (neg f64 (neg f64 (* f64 (* f64 h2 (/ f64 h0 h3)) (- f64 h4 h1)))) (=> (* f64 2 h0))))))))) (if real (<= f64 h0 7854216371632253/458222462695599379270700542938797415851547826754730440471063195236977024085646466549524548253194054006869752147503995521190349772113174027207120416665033273928205988927667393636268820183663660419920640131707923959614888857707801337845740593703588724736) (sqrt f64 (* f64 (* f64 2 (* f64 h1 h2)) (+ f64 (- f64 h5 (* f64 2 (/ f64 (* f64 h0 h0) h3))) (* f64 h2 (* f64 (neg f64 (+ f64 (neg f64 h4) h1)) (pow f64 (/ f64 h0 h3) 2)))))) (if real (<= f64 h0 451855368630720467440405304271028626488591709022793980048343696422550911422030972208342554087451067048575752072158350075147202824938033211876797639273274775662516941673257468778512384) (* f64 (sqrt f64 (* f64 (cbrt f64 h1) (cbrt f64 h1))) (sqrt f64 (* f64 (cbrt f64 h1) (* f64 2 (* f64 h2 (+ f64 h5 (* f64 (/ f64 h0 h3) (- f64 (neg f64 (neg f64 (* f64 h2 (* f64 (- f64 h4 h1) (/ f64 h0 h3))))) (* f64 h0 2))))))))) (* f64 (sqrt f64 (* f64 (* f64 h1 h2) (- f64 (* f64 (/ f64 h2 h3) (/ f64 h4 h3)) (+ f64 (/ f64 2 h3) (/ f64 (* f64 h1 h2) (* f64 h3 h3)))))) (* f64 h0 (sqrt f64 2)))))))
*-commutative_binary64_350 =>
(if real (<= f64 h0 -2912833474004503406016273552397485052843796411607632493198257004679996826981968533275804679560886390537310452147281219913951887587288729474869005123584) (* f64 (sqrt f64 2) (* f64 h0 (neg f64 (sqrt f64 (* f64 h1 (* f64 h2 (- f64 (- f64 (* f64 (/ f64 h2 h3) (/ f64 h4 h3)) (/ f64 2 h3)) (* f64 (/ f64 h2 h3) (/ f64 h1 h3))))))))) (if real (<= f64 h0 -7899465407539937/543885304644369509058138323509727874385503352552480689356230797517213245297512696564902402319594788524942673393916417039714897241756372213155348458256985448390483221335442656288489603072) (* f64 (sqrt f64 (* f64 (cbrt f64 h1) (cbrt f64 h1))) (sqrt f64 (* f64 (cbrt f64 h1) (* f64 (* f64 2 h2) (+ f64 h5 (* f64 (/ f64 h0 h3) (- f64 (=> (neg f64 (neg f64 (* f64 (* f64 h2 (/ f64 h0 h3)) (- f64 h4 h1))))) (* f64 h0 2)))))))) (if real (<= f64 h0 7854216371632253/458222462695599379270700542938797415851547826754730440471063195236977024085646466549524548253194054006869752147503995521190349772113174027207120416665033273928205988927667393636268820183663660419920640131707923959614888857707801337845740593703588724736) (sqrt f64 (* f64 (* f64 2 (* f64 h1 h2)) (+ f64 (- f64 h5 (* f64 2 (/ f64 (* f64 h0 h0) h3))) (* f64 h2 (* f64 (neg f64 (+ f64 (neg f64 h4) h1)) (pow f64 (/ f64 h0 h3) 2)))))) (if real (<= f64 h0 451855368630720467440405304271028626488591709022793980048343696422550911422030972208342554087451067048575752072158350075147202824938033211876797639273274775662516941673257468778512384) (* f64 (sqrt f64 (* f64 (cbrt f64 h1) (cbrt f64 h1))) (sqrt f64 (* f64 (cbrt f64 h1) (* f64 2 (* f64 h2 (+ f64 h5 (* f64 (/ f64 h0 h3) (- f64 (neg f64 (neg f64 (* f64 h2 (* f64 (- f64 h4 h1) (/ f64 h0 h3))))) (* f64 h0 2))))))))) (* f64 (sqrt f64 (* f64 (* f64 h1 h2) (- f64 (* f64 (/ f64 h2 h3) (/ f64 h4 h3)) (+ f64 (/ f64 2 h3) (/ f64 (* f64 h1 h2) (* f64 h3 h3)))))) (* f64 h0 (sqrt f64 2)))))))
remove-double-neg_binary64_407 =>
(if real (<= f64 h0 -2912833474004503406016273552397485052843796411607632493198257004679996826981968533275804679560886390537310452147281219913951887587288729474869005123584) (* f64 (sqrt f64 2) (* f64 h0 (neg f64 (sqrt f64 (* f64 h1 (* f64 h2 (- f64 (- f64 (* f64 (/ f64 h2 h3) (/ f64 h4 h3)) (/ f64 2 h3)) (* f64 (/ f64 h2 h3) (/ f64 h1 h3))))))))) (if real (<= f64 h0 -7899465407539937/543885304644369509058138323509727874385503352552480689356230797517213245297512696564902402319594788524942673393916417039714897241756372213155348458256985448390483221335442656288489603072) (* f64 (sqrt f64 (* f64 (cbrt f64 h1) (cbrt f64 h1))) (sqrt f64 (* f64 (cbrt f64 h1) (* f64 (* f64 2 h2) (+ f64 h5 (* f64 (/ f64 h0 h3) (- f64 (* f64 (* f64 h2 (/ f64 h0 h3)) (- f64 h4 h1)) (* f64 h0 2)))))))) (if real (<= f64 h0 7854216371632253/458222462695599379270700542938797415851547826754730440471063195236977024085646466549524548253194054006869752147503995521190349772113174027207120416665033273928205988927667393636268820183663660419920640131707923959614888857707801337845740593703588724736) (sqrt f64 (* f64 (* f64 2 (* f64 h1 h2)) (+ f64 (- f64 h5 (* f64 2 (/ f64 (* f64 h0 h0) h3))) (* f64 h2 (* f64 (neg f64 (+ f64 (neg f64 h4) h1)) (pow f64 (/ f64 h0 h3) 2)))))) (if real (<= f64 h0 451855368630720467440405304271028626488591709022793980048343696422550911422030972208342554087451067048575752072158350075147202824938033211876797639273274775662516941673257468778512384) (* f64 (sqrt f64 (* f64 (cbrt f64 h1) (cbrt f64 h1))) (sqrt f64 (* f64 (cbrt f64 h1) (* f64 2 (* f64 h2 (+ f64 h5 (* f64 (/ f64 h0 h3) (- f64 (=> (neg f64 (neg f64 (* f64 h2 (* f64 (- f64 h4 h1) (/ f64 h0 h3)))))) (* f64 h0 2))))))))) (* f64 (sqrt f64 (* f64 (* f64 h1 h2) (- f64 (* f64 (/ f64 h2 h3) (/ f64 h4 h3)) (+ f64 (/ f64 2 h3) (/ f64 (* f64 h1 h2) (* f64 h3 h3)))))) (* f64 h0 (sqrt f64 2)))))))
remove-double-neg_binary64_407 =>
(if real (<= f64 h0 -2912833474004503406016273552397485052843796411607632493198257004679996826981968533275804679560886390537310452147281219913951887587288729474869005123584) (* f64 (sqrt f64 2) (* f64 h0 (neg f64 (sqrt f64 (* f64 h1 (* f64 h2 (- f64 (- f64 (* f64 (/ f64 h2 h3) (/ f64 h4 h3)) (/ f64 2 h3)) (* f64 (/ f64 h2 h3) (/ f64 h1 h3))))))))) (if real (<= f64 h0 -7899465407539937/543885304644369509058138323509727874385503352552480689356230797517213245297512696564902402319594788524942673393916417039714897241756372213155348458256985448390483221335442656288489603072) (* f64 (sqrt f64 (* f64 (cbrt f64 h1) (cbrt f64 h1))) (sqrt f64 (* f64 (cbrt f64 h1) (* f64 (* f64 2 h2) (+ f64 h5 (* f64 (/ f64 h0 h3) (- f64 (* f64 (* f64 h2 (/ f64 h0 h3)) (- f64 h4 h1)) (* f64 h0 2)))))))) (if real (<= f64 h0 7854216371632253/458222462695599379270700542938797415851547826754730440471063195236977024085646466549524548253194054006869752147503995521190349772113174027207120416665033273928205988927667393636268820183663660419920640131707923959614888857707801337845740593703588724736) (sqrt f64 (* f64 (* f64 2 (* f64 h1 h2)) (+ f64 (- f64 h5 (* f64 2 (/ f64 (* f64 h0 h0) h3))) (* f64 h2 (* f64 (neg f64 (+ f64 (neg f64 h4) h1)) (pow f64 (/ f64 h0 h3) 2)))))) (if real (<= f64 h0 451855368630720467440405304271028626488591709022793980048343696422550911422030972208342554087451067048575752072158350075147202824938033211876797639273274775662516941673257468778512384) (* f64 (sqrt f64 (* f64 (cbrt f64 h1) (cbrt f64 h1))) (sqrt f64 (* f64 (cbrt f64 h1) (* f64 2 (* f64 h2 (+ f64 h5 (* f64 (/ f64 h0 h3) (- f64 (* f64 h2 (=> (* f64 (- f64 h4 h1) (/ f64 h0 h3)))) (* f64 h0 2))))))))) (* f64 (sqrt f64 (* f64 (* f64 h1 h2) (- f64 (* f64 (/ f64 h2 h3) (/ f64 h4 h3)) (+ f64 (/ f64 2 h3) (/ f64 (* f64 h1 h2) (* f64 h3 h3)))))) (* f64 h0 (sqrt f64 2)))))))
*-commutative_binary64_350 =>
(if real (<= f64 h0 -2912833474004503406016273552397485052843796411607632493198257004679996826981968533275804679560886390537310452147281219913951887587288729474869005123584) (* f64 (sqrt f64 2) (* f64 h0 (neg f64 (sqrt f64 (* f64 h1 (* f64 h2 (- f64 (- f64 (* f64 (/ f64 h2 h3) (/ f64 h4 h3)) (/ f64 2 h3)) (* f64 (/ f64 h2 h3) (/ f64 h1 h3))))))))) (if real (<= f64 h0 -7899465407539937/543885304644369509058138323509727874385503352552480689356230797517213245297512696564902402319594788524942673393916417039714897241756372213155348458256985448390483221335442656288489603072) (* f64 (sqrt f64 (* f64 (cbrt f64 h1) (cbrt f64 h1))) (sqrt f64 (* f64 (cbrt f64 h1) (* f64 (* f64 2 h2) (+ f64 h5 (* f64 (/ f64 h0 h3) (- f64 (* f64 (* f64 h2 (/ f64 h0 h3)) (- f64 h4 h1)) (* f64 h0 2)))))))) (if real (<= f64 h0 7854216371632253/458222462695599379270700542938797415851547826754730440471063195236977024085646466549524548253194054006869752147503995521190349772113174027207120416665033273928205988927667393636268820183663660419920640131707923959614888857707801337845740593703588724736) (sqrt f64 (* f64 (* f64 2 (* f64 h1 h2)) (+ f64 (- f64 h5 (* f64 2 (/ f64 (* f64 h0 h0) h3))) (* f64 h2 (* f64 (=> (neg f64 (+ f64 (neg f64 h4) h1))) (pow f64 (/ f64 h0 h3) 2)))))) (if real (<= f64 h0 451855368630720467440405304271028626488591709022793980048343696422550911422030972208342554087451067048575752072158350075147202824938033211876797639273274775662516941673257468778512384) (* f64 (sqrt f64 (* f64 (cbrt f64 h1) (cbrt f64 h1))) (sqrt f64 (* f64 (cbrt f64 h1) (* f64 2 (* f64 h2 (+ f64 h5 (* f64 (/ f64 h0 h3) (- f64 (* f64 h2 (* f64 (/ f64 h0 h3) (- f64 h4 h1))) (* f64 h0 2))))))))) (* f64 (sqrt f64 (* f64 (* f64 h1 h2) (- f64 (* f64 (/ f64 h2 h3) (/ f64 h4 h3)) (+ f64 (/ f64 2 h3) (/ f64 (* f64 h1 h2) (* f64 h3 h3)))))) (* f64 h0 (sqrt f64 2)))))))
distribute-neg-in_binary64_380 =>
(if real (<= f64 h0 -2912833474004503406016273552397485052843796411607632493198257004679996826981968533275804679560886390537310452147281219913951887587288729474869005123584) (* f64 (sqrt f64 2) (* f64 h0 (neg f64 (sqrt f64 (* f64 h1 (* f64 h2 (- f64 (- f64 (* f64 (/ f64 h2 h3) (/ f64 h4 h3)) (/ f64 2 h3)) (* f64 (/ f64 h2 h3) (/ f64 h1 h3))))))))) (if real (<= f64 h0 -7899465407539937/543885304644369509058138323509727874385503352552480689356230797517213245297512696564902402319594788524942673393916417039714897241756372213155348458256985448390483221335442656288489603072) (* f64 (sqrt f64 (* f64 (cbrt f64 h1) (cbrt f64 h1))) (sqrt f64 (* f64 (cbrt f64 h1) (* f64 (* f64 2 h2) (+ f64 h5 (* f64 (/ f64 h0 h3) (- f64 (* f64 (* f64 h2 (/ f64 h0 h3)) (- f64 h4 h1)) (* f64 h0 2)))))))) (if real (<= f64 h0 7854216371632253/458222462695599379270700542938797415851547826754730440471063195236977024085646466549524548253194054006869752147503995521190349772113174027207120416665033273928205988927667393636268820183663660419920640131707923959614888857707801337845740593703588724736) (sqrt f64 (* f64 (* f64 2 (* f64 h1 h2)) (+ f64 (- f64 h5 (* f64 2 (/ f64 (* f64 h0 h0) h3))) (* f64 h2 (* f64 (=> (+ f64 (neg f64 (neg f64 h4)) (neg f64 h1))) (pow f64 (/ f64 h0 h3) 2)))))) (if real (<= f64 h0 451855368630720467440405304271028626488591709022793980048343696422550911422030972208342554087451067048575752072158350075147202824938033211876797639273274775662516941673257468778512384) (* f64 (sqrt f64 (* f64 (cbrt f64 h1) (cbrt f64 h1))) (sqrt f64 (* f64 (cbrt f64 h1) (* f64 2 (* f64 h2 (+ f64 h5 (* f64 (/ f64 h0 h3) (- f64 (* f64 h2 (* f64 (/ f64 h0 h3) (- f64 h4 h1))) (* f64 h0 2))))))))) (* f64 (sqrt f64 (* f64 (* f64 h1 h2) (- f64 (* f64 (/ f64 h2 h3) (/ f64 h4 h3)) (+ f64 (/ f64 2 h3) (/ f64 (* f64 h1 h2) (* f64 h3 h3)))))) (* f64 h0 (sqrt f64 2)))))))
unsub-neg_binary64_413 =>
(if real (<= f64 h0 -2912833474004503406016273552397485052843796411607632493198257004679996826981968533275804679560886390537310452147281219913951887587288729474869005123584) (* f64 (sqrt f64 2) (* f64 h0 (neg f64 (sqrt f64 (* f64 h1 (* f64 h2 (- f64 (- f64 (* f64 (/ f64 h2 h3) (/ f64 h4 h3)) (/ f64 2 h3)) (* f64 (/ f64 h2 h3) (/ f64 h1 h3))))))))) (if real (<= f64 h0 -7899465407539937/543885304644369509058138323509727874385503352552480689356230797517213245297512696564902402319594788524942673393916417039714897241756372213155348458256985448390483221335442656288489603072) (* f64 (sqrt f64 (* f64 (cbrt f64 h1) (cbrt f64 h1))) (sqrt f64 (* f64 (cbrt f64 h1) (* f64 (* f64 2 h2) (+ f64 h5 (* f64 (/ f64 h0 h3) (- f64 (* f64 (* f64 h2 (/ f64 h0 h3)) (- f64 h4 h1)) (* f64 h0 2)))))))) (if real (<= f64 h0 7854216371632253/458222462695599379270700542938797415851547826754730440471063195236977024085646466549524548253194054006869752147503995521190349772113174027207120416665033273928205988927667393636268820183663660419920640131707923959614888857707801337845740593703588724736) (sqrt f64 (* f64 (* f64 2 (* f64 h1 h2)) (+ f64 (- f64 h5 (* f64 2 (/ f64 (* f64 h0 h0) h3))) (* f64 h2 (* f64 (- f64 (=> (neg f64 (neg f64 h4))) h1) (pow f64 (/ f64 h0 h3) 2)))))) (if real (<= f64 h0 451855368630720467440405304271028626488591709022793980048343696422550911422030972208342554087451067048575752072158350075147202824938033211876797639273274775662516941673257468778512384) (* f64 (sqrt f64 (* f64 (cbrt f64 h1) (cbrt f64 h1))) (sqrt f64 (* f64 (cbrt f64 h1) (* f64 2 (* f64 h2 (+ f64 h5 (* f64 (/ f64 h0 h3) (- f64 (* f64 h2 (* f64 (/ f64 h0 h3) (- f64 h4 h1))) (* f64 h0 2))))))))) (* f64 (sqrt f64 (* f64 (* f64 h1 h2) (- f64 (* f64 (/ f64 h2 h3) (/ f64 h4 h3)) (+ f64 (/ f64 2 h3) (/ f64 (* f64 h1 h2) (* f64 h3 h3)))))) (* f64 h0 (sqrt f64 2)))))))
remove-double-neg_binary64_407 =>
(if real (<= f64 h0 -2912833474004503406016273552397485052843796411607632493198257004679996826981968533275804679560886390537310452147281219913951887587288729474869005123584) (* f64 (sqrt f64 2) (* f64 h0 (neg f64 (sqrt f64 (* f64 h1 (* f64 h2 (- f64 (- f64 (* f64 (/ f64 h2 h3) (/ f64 h4 h3)) (/ f64 2 h3)) (* f64 (/ f64 h2 h3) (/ f64 h1 h3))))))))) (if real (<= f64 h0 -7899465407539937/543885304644369509058138323509727874385503352552480689356230797517213245297512696564902402319594788524942673393916417039714897241756372213155348458256985448390483221335442656288489603072) (* f64 (sqrt f64 (* f64 (cbrt f64 h1) (cbrt f64 h1))) (sqrt f64 (* f64 (cbrt f64 h1) (* f64 (* f64 2 h2) (+ f64 h5 (* f64 (/ f64 h0 h3) (- f64 (* f64 (* f64 h2 (/ f64 h0 h3)) (- f64 h4 h1)) (* f64 h0 2)))))))) (if real (<= f64 h0 7854216371632253/458222462695599379270700542938797415851547826754730440471063195236977024085646466549524548253194054006869752147503995521190349772113174027207120416665033273928205988927667393636268820183663660419920640131707923959614888857707801337845740593703588724736) (sqrt f64 (* f64 (* f64 2 (* f64 h1 h2)) (+ f64 (- f64 h5 (* f64 2 (/ f64 (* f64 h0 h0) h3))) (* f64 h2 (* f64 (- f64 h4 h1) (pow f64 (/ f64 h0 h3) 2)))))) (if real (<= f64 h0 451855368630720467440405304271028626488591709022793980048343696422550911422030972208342554087451067048575752072158350075147202824938033211876797639273274775662516941673257468778512384) (* f64 (sqrt f64 (* f64 (cbrt f64 h1) (cbrt f64 h1))) (sqrt f64 (* f64 (cbrt f64 h1) (* f64 2 (* f64 h2 (+ f64 h5 (* f64 (/ f64 h0 h3) (- f64 (* f64 h2 (* f64 (/ f64 h0 h3) (- f64 h4 h1))) (* f64 h0 2))))))))) (* f64 (sqrt f64 (* f64 (* f64 h1 h2) (- f64 (* f64 (/ f64 h2 h3) (/ f64 h4 h3)) (+ f64 (/ f64 2 h3) (/ f64 (* f64 h1 h2) (* f64 h3 h3)))))) (* f64 h0 (sqrt f64 2)))))))

end0.0ms (0%)

sample7.1s (12.7%)

Algorithm

1×

intervals

Results

1.2s	12765×	body	128	nan
756.0ms	8000×	body	128	valid
110.0ms	1136×	body	128	invalid

Compiler

Compiled 6671 to 4614 computations (30.8% saved)

Details

analyze2.2s (3.9%)

sample105.0ms (0.2%)

simplify234.0ms (0.4%)

prune17.0ms (0%)

localize17.0ms (0%)

rewrite234.0ms (0.4%)

series5.2s (9.4%)

simplify1.2s (2.2%)

prune912.0ms (1.6%)

localize21.0ms (0%)

rewrite298.0ms (0.5%)

series5.5s (9.9%)

simplify956.0ms (1.7%)

prune1.1s (1.9%)

localize20.0ms (0%)

rewrite233.0ms (0.4%)

series5.3s (9.6%)

simplify696.0ms (1.2%)

prune1.1s (1.9%)

localize27.0ms (0%)

rewrite466.0ms (0.8%)

series10.4s (18.7%)

simplify2.5s (4.4%)

prune4.0s (7.2%)

regimes5.4s (9.6%)

bsearch385.0ms (0.7%)

simplify162.0ms (0.3%)

end0.0ms (0%)

sample7.1s (12.7%)

Profiling