Details

analyze877.0ms (6.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
0%	99.8%	0.2%	9
0%	99.8%	0.2%	10
16.4%	83.4%	0.2%	11
19.9%	79.9%	0.2%	12
21.6%	77.2%	1.2%	13
24.8%	73.7%	1.4%	14

Compiler

Compiled 10 to 10 computations (0% saved)

sample34.0ms (0.2%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
3.0ms	102×	body	128	invalid

Compiler

Compiled 19 to 24 computations (-26.3% saved)

simplify891.0ms (6.3%)

Algorithm

1×	egg-herbie

Rules

533×	`associate-/l*_binary64_18096`
367×	`associate-l_binary64_18092`
360×	`distribute-rgt-out_binary64_18104`
345×	`associate-r_binary64_18091`
322×	`associate-/l/_binary64_18098`
304×	`distribute-rgt-out--_binary64_18105`
294×	`distribute-lft-out_binary64_18102`
260×	`distribute-lft-out--_binary64_18103`
191×	`cancel-sign-sub-inv_binary64_18117`
95×	`times-frac_binary64_18157`
67×	`associate-/r*_binary64_18095`
48×	`distribute-rgt-neg-in_binary64_18109`
44×	`associate-*l/_binary64_18094`
42×	`sub-neg_binary64_18144`
38×	`distribute-lft-neg-in_binary64_18108`
37×	`distribute-rgt-in_binary64_18101`
36×	`div-sub_binary64_18156` `associate-*r/_binary64_18093`
34×	`associate-/r/_binary64_18097`
22×	`neg-mul-1_binary64_18147`
20×	`neg-sub0_binary64_18146`
19×	`distribute-rgt1-in_binary64_18107`
18×	`distribute-neg-in_binary64_18112` `*-commutative_binary64_18082`
17×	`distribute-neg-frac_binary64_18115`
15×	`unsub-neg_binary64_18145`
14×	`distribute-lft-in_binary64_18100`
10×	`+-commutative_binary64_18081`
8×	`distribute-lft-neg-out_binary64_18110` `associate-+l-_binary64_18086`
6×	`sub0-neg_binary64_18138` `+-rgt-identity_binary64_18136` `associate--r+_binary64_18087` `associate-+r-_binary64_18085`
5×	`--rgt-identity_binary64_18137`
4×	`remove-double-neg_binary64_18139` `mul0-rgt_binary64_18134` `mul0-lft_binary64_18133` `count-2_binary64_18099` `associate-+r+_binary64_18083`
3×	`div0_binary64_18132` `distribute-lft1-in_binary64_18106`
2×	`associate-+l+_binary64_18084`
1×	`1-exp_binary64_18195` `+-lft-identity_binary64_18135` `distribute-rgt-neg-out_binary64_18111` `associate--r-_binary64_18090`
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_18414` `erf-erfc_binary64_18413` `erf-odd_binary64_18412` `if-if-and-not_binary64_18411` `if-if-and_binary64_18410` `if-if-or-not_binary64_18409` `if-if-or_binary64_18408` `if-not_binary64_18407` `if-same_binary64_18406` `if-false_binary64_18405` `if-true_binary64_18404` `not-gte_binary64_18403` `not-lte_binary64_18402` `not-gt_binary64_18401` `not-lt_binary64_18400` `gte-same_binary64_18399` `lte-same_binary64_18398` `gt-same_binary64_18397` `lt-same_binary64_18396` `sinh---cosh_binary64_18343` `sinh-+-cosh_binary64_18342` `sinh-cosh_binary64_18341` `tanh-def-c_binary64_18340` `tanh-def-b_binary64_18339` `tanh-def-a_binary64_18338` `cosh-def_binary64_18337` `sinh-def_binary64_18336` `tan-neg_binary64_18283` `cos-neg_binary64_18282` `sin-neg_binary64_18281` `tan-0_binary64_18280` `cos-0_binary64_18279` `sin-0_binary64_18278` `hang-m-tan_binary64_18277` `hang-p-tan_binary64_18276` `hang-m0-tan_binary64_18275` `hang-p0-tan_binary64_18274` `hang-0m-tan_binary64_18273` `hang-0p-tan_binary64_18272` `tan-+PI/2_binary64_18271` `tan-+PI_binary64_18270` `tan-PI_binary64_18269` `tan-PI/3_binary64_18268` `tan-PI/4_binary64_18267` `tan-PI/6_binary64_18266` `cos-+PI/2_binary64_18265` `cos-+PI_binary64_18264` `cos-PI_binary64_18263` `cos-PI/2_binary64_18262` `cos-PI/3_binary64_18261` `cos-PI/4_binary64_18260` `cos-PI/6_binary64_18259` `sin-+PI/2_binary64_18258` `sin-+PI_binary64_18257` `sin-PI_binary64_18256` `sin-PI/2_binary64_18255` `sin-PI/3_binary64_18254` `sin-PI/4_binary64_18253` `sin-PI/6_binary64_18252` `sub-1-sin_binary64_18251` `sub-1-cos_binary64_18250` `-1-add-sin_binary64_18249` `-1-add-cos_binary64_18248` `1-sub-sin_binary64_18247` `1-sub-cos_binary64_18246` `cos-sin-sum_binary64_18245` `log-E_binary64_18241` `log-pow_binary64_18240` `log-rec_binary64_18239` `log-div_binary64_18238` `log-prod_binary64_18237` `pow-base-0_binary64_18235` `unpow1/3_binary64_18218` `unpow3_binary64_18217` `unpow2_binary64_18216` `unpow1/2_binary64_18215` `pow-plus_binary64_18214` `exp-to-pow_binary64_18213` `pow-base-1_binary64_18211` `unpow0_binary64_18210` `unpow1_binary64_18209` `unpow-1_binary64_18208` `exp-lft-cube_binary64_18207` `exp-lft-sqr_binary64_18206` `exp-cbrt_binary64_18205` `exp-sqrt_binary64_18204` `exp-prod_binary64_18203` `div-exp_binary64_18202` `rec-exp_binary64_18201` `prod-exp_binary64_18200` `exp-diff_binary64_18199` `exp-neg_binary64_18198` `exp-sum_binary64_18197` `e-exp-1_binary64_18196` `exp-1-e_binary64_18194` `exp-0_binary64_18193` `rem-log-exp_binary64_18192` `rem-exp-log_binary64_18191` `cube-unmult_binary64_18188` `cube-mult_binary64_18181` `cube-div_binary64_18180` `cube-prod_binary64_18179` `cube-neg_binary64_18178` `rem-3cbrt-rft_binary64_18177` `rem-3cbrt-lft_binary64_18176` `rem-cbrt-cube_binary64_18175` `rem-cube-cbrt_binary64_18174` `sqr-abs_binary64_18166` `sqr-neg_binary64_18165` `rem-sqrt-square_binary64_18164` `rem-square-sqrt_binary64_18163` `mul-1-neg_binary64_18143` `/-rgt-identity_binary64_18142` `-rgt-identity_binary64_18141` `-lft-identity_binary64_18140` `*-inverses_binary64_18131` `+-inverses_binary64_18130` `lft-mult-inverse_binary64_18129` `rgt-mult-inverse_binary64_18128` `remove-double-div_binary64_18127` `pow-sqr_binary64_18124` `sqr-pow_binary64_18123` `difference-of-sqr--1_binary64_18122` `difference-of-sqr-1_binary64_18121` `difference-of-squares_binary64_18120` `unswap-sqr_binary64_18119` `swap-sqr_binary64_18118` `cancel-sign-sub_binary64_18116` `distribute-frac-neg_binary64_18114` `distribute-neg-out_binary64_18113` `associate--l-_binary64_18089` `associate--l+_binary64_18088`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	13
1	20	13
2	40	13
3	66	13
4	133	13
5	185	13
6	359	13

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	0	0
Total	1	1

Error

7.2b

Counts

1 → 1

Compiler

Compiled 9 to 9 computations (0% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (.f64 x y) (.f64 z t))
6.8b	(/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)

rewrite62.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Error

7.0b

Rules

10×	`add-cube-cbrt_binary64_18186` `add-sqr-sqrt_binary64_18173` `*-un-lft-identity_binary64_18151`
9×	`times-frac_binary64_18157`
4×	`add-exp-log_binary64_18189` `add-log-exp_binary64_18190` `add-cbrt-cube_binary64_18187`
3×	`associate-/l_binary64_18096` `associate-/r_binary64_18095`
2×	`pow1_binary64_18212` `flip3--_binary64_18155` `associate-/l/_binary64_18098` `flip--_binary64_18126`
1×	`div-exp_binary64_18202` `cbrt-undiv_binary64_18185` `frac-2neg_binary64_18162` `div-sub_binary64_18156` `clear-num_binary64_18150` `div-inv_binary64_18148` `diff-log_binary64_18243` `sub-neg_binary64_18144` `cancel-sign-sub-inv_binary64_18117`

Counts

2 → 42

Calls

2 calls:

6.0ms	(/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)
4.0ms	(-.f64 (.f64 x y) (.f64 z t))

Compiler

Compiled 797 to 150 computations (81.2% saved)

series697.0ms (4.9%)

Error

7.1b

Counts

2 → 51

Calls

2 calls:

449.0ms	(/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)
220.0ms	(-.f64 (.f64 x y) (.f64 z t))

Compiler

Compiled 1095 to 752 computations (31.3% saved)

simplify200.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

645×	`distribute-rgt-in_binary64_18101`
583×	`distribute-lft-in_binary64_18100`
308×	`associate-l_binary64_18092`
231×	`associate-r_binary64_18091`
220×	`div-sub_binary64_18156`
196×	`cancel-sign-sub-inv_binary64_18117`
178×	`associate-*l/_binary64_18094`
164×	`distribute-lft-neg-out_binary64_18110`
163×	`distribute-rgt-neg-out_binary64_18111`
128×	`distribute-rgt-neg-in_binary64_18109` `associate-*r/_binary64_18093`
113×	`associate-/l*_binary64_18096`
110×	`distribute-lft-neg-in_binary64_18108`
89×	`*-commutative_binary64_18082`
85×	`associate-/l/_binary64_18098`
80×	`exp-prod_binary64_18203`
71×	`times-frac_binary64_18157`
70×	`distribute-neg-frac_binary64_18115`
67×	`sqr-pow_binary64_18123`
66×	`distribute-frac-neg_binary64_18114`
65×	`sub-neg_binary64_18144`
59×	`neg-sub0_binary64_18146` `unsub-neg_binary64_18145`
55×	`distribute-rgt-out_binary64_18104` `associate-/r/_binary64_18097`
52×	`associate-/r*_binary64_18095`
49×	`cube-prod_binary64_18179` `neg-mul-1_binary64_18147`
40×	`unswap-sqr_binary64_18119`
38×	`swap-sqr_binary64_18118`
36×	`difference-of-squares_binary64_18120`
30×	`cube-div_binary64_18180` `distribute-lft-out_binary64_18102`
28×	`*-lft-identity_binary64_18140` `pow-sqr_binary64_18124`
25×	`exp-sum_binary64_18197`
21×	`+-commutative_binary64_18081`
17×	`/-rgt-identity_binary64_18142`
16×	`exp-diff_binary64_18199`
15×	`log-prod_binary64_18237`
13×	`distribute-neg-in_binary64_18112`
11×	`*-rgt-identity_binary64_18141`
10×	`unpow3_binary64_18217` `div-exp_binary64_18202` `cube-mult_binary64_18181` `mul-1-neg_binary64_18143` `distribute-neg-out_binary64_18113`
9×	`prod-exp_binary64_18200` `mul0-lft_binary64_18133`
8×	`mul0-rgt_binary64_18134` `distribute-rgt-out--_binary64_18105`
7×	`log-div_binary64_18238`
6×	`cube-unmult_binary64_18188` `remove-double-neg_binary64_18139` `associate-+l-_binary64_18086` `associate-+r-_binary64_18085` `associate-+r+_binary64_18083`
5×	`+-rgt-identity_binary64_18136` `associate-+l+_binary64_18084`
4×	`sqr-neg_binary64_18165` `sub0-neg_binary64_18138`
3×	`rec-exp_binary64_18201` `cube-neg_binary64_18178` `div0_binary64_18132` `associate--r+_binary64_18087`
2×	`associate--r-_binary64_18090`
1×	`log-pow_binary64_18240` `log-rec_binary64_18239` `pow-plus_binary64_18214` `1-exp_binary64_18195` `rem-log-exp_binary64_18192` `--rgt-identity_binary64_18137` `distribute-rgt1-in_binary64_18107` `distribute-lft-out--_binary64_18103` `associate--l-_binary64_18089`
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_18414` `erf-erfc_binary64_18413` `erf-odd_binary64_18412` `if-if-and-not_binary64_18411` `if-if-and_binary64_18410` `if-if-or-not_binary64_18409` `if-if-or_binary64_18408` `if-not_binary64_18407` `if-same_binary64_18406` `if-false_binary64_18405` `if-true_binary64_18404` `not-gte_binary64_18403` `not-lte_binary64_18402` `not-gt_binary64_18401` `not-lt_binary64_18400` `gte-same_binary64_18399` `lte-same_binary64_18398` `gt-same_binary64_18397` `lt-same_binary64_18396` `sinh---cosh_binary64_18343` `sinh-+-cosh_binary64_18342` `sinh-cosh_binary64_18341` `tanh-def-c_binary64_18340` `tanh-def-b_binary64_18339` `tanh-def-a_binary64_18338` `cosh-def_binary64_18337` `sinh-def_binary64_18336` `tan-neg_binary64_18283` `cos-neg_binary64_18282` `sin-neg_binary64_18281` `tan-0_binary64_18280` `cos-0_binary64_18279` `sin-0_binary64_18278` `hang-m-tan_binary64_18277` `hang-p-tan_binary64_18276` `hang-m0-tan_binary64_18275` `hang-p0-tan_binary64_18274` `hang-0m-tan_binary64_18273` `hang-0p-tan_binary64_18272` `tan-+PI/2_binary64_18271` `tan-+PI_binary64_18270` `tan-PI_binary64_18269` `tan-PI/3_binary64_18268` `tan-PI/4_binary64_18267` `tan-PI/6_binary64_18266` `cos-+PI/2_binary64_18265` `cos-+PI_binary64_18264` `cos-PI_binary64_18263` `cos-PI/2_binary64_18262` `cos-PI/3_binary64_18261` `cos-PI/4_binary64_18260` `cos-PI/6_binary64_18259` `sin-+PI/2_binary64_18258` `sin-+PI_binary64_18257` `sin-PI_binary64_18256` `sin-PI/2_binary64_18255` `sin-PI/3_binary64_18254` `sin-PI/4_binary64_18253` `sin-PI/6_binary64_18252` `sub-1-sin_binary64_18251` `sub-1-cos_binary64_18250` `-1-add-sin_binary64_18249` `-1-add-cos_binary64_18248` `1-sub-sin_binary64_18247` `1-sub-cos_binary64_18246` `cos-sin-sum_binary64_18245` `log-E_binary64_18241` `pow-base-0_binary64_18235` `unpow1/3_binary64_18218` `unpow2_binary64_18216` `unpow1/2_binary64_18215` `exp-to-pow_binary64_18213` `pow-base-1_binary64_18211` `unpow0_binary64_18210` `unpow1_binary64_18209` `unpow-1_binary64_18208` `exp-lft-cube_binary64_18207` `exp-lft-sqr_binary64_18206` `exp-cbrt_binary64_18205` `exp-sqrt_binary64_18204` `exp-neg_binary64_18198` `e-exp-1_binary64_18196` `exp-1-e_binary64_18194` `exp-0_binary64_18193` `rem-exp-log_binary64_18191` `rem-3cbrt-rft_binary64_18177` `rem-3cbrt-lft_binary64_18176` `rem-cbrt-cube_binary64_18175` `rem-cube-cbrt_binary64_18174` `sqr-abs_binary64_18166` `rem-sqrt-square_binary64_18164` `rem-square-sqrt_binary64_18163` `+-lft-identity_binary64_18135` `*-inverses_binary64_18131` `+-inverses_binary64_18130` `lft-mult-inverse_binary64_18129` `rgt-mult-inverse_binary64_18128` `remove-double-div_binary64_18127` `difference-of-sqr--1_binary64_18122` `difference-of-sqr-1_binary64_18121` `cancel-sign-sub_binary64_18116` `distribute-lft1-in_binary64_18106` `count-2_binary64_18099` `associate--l+_binary64_18088`

Counts

93 → 165

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	89	1380
1	237	1303
2	703	1303
3	2318	1303

prune135.0ms (1%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	156	9	165
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	157	9	166

Error

0.0b

Counts

166 → 9

Compiler

Compiled 2608 to 386 computations (85.2% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (.f64 x y) (.f64 t z))
0.4b	(/.f64 1 (/.f64 a (-.f64 (.f64 x y) (.f64 t z))))
6.8b	(/.f64 a (-.f64 (.f64 x y) (.f64 t z)))

rewrite161.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

90×	`times-frac_binary64_18157`
55×	`add-cube-cbrt_binary64_18186` `add-sqr-sqrt_binary64_18173` `*-un-lft-identity_binary64_18151`
18×	`associate-/r*_binary64_18095`
16×	`add-exp-log_binary64_18189`
11×	`associate-/r/_binary64_18097`
10×	`add-cbrt-cube_binary64_18187`
8×	`div-exp_binary64_18202`
6×	`div-inv_binary64_18148` `flip3--_binary64_18155` `flip--_binary64_18126` `associate-/l*_binary64_18096`
5×	`add-log-exp_binary64_18190`
4×	`pow1_binary64_18212` `cbrt-undiv_binary64_18185`
2×	`frac-2neg_binary64_18162` `clear-num_binary64_18150` `1-exp_binary64_18195` `rec-exp_binary64_18201`
1×	`inv-pow_binary64_18236` `pow-flip_binary64_18225` `diff-log_binary64_18243` `sub-neg_binary64_18144` `cancel-sign-sub-inv_binary64_18117`

Counts

3 → 125

Calls

3 calls:

8.0ms	(/.f64 1 (/.f64 a (-.f64 (.f64 x y) (.f64 t z))))
5.0ms	(/.f64 a (-.f64 (.f64 x y) (.f64 t z)))
4.0ms	(-.f64 (.f64 x y) (.f64 t z))

Compiler

Compiled 3006 to 798 computations (73.5% saved)

series1.1s (7.8%)

Error

0.0b

Counts

3 → 78

Calls

3 calls:

475.0ms	(/.f64 1 (/.f64 a (-.f64 (.f64 x y) (.f64 t z))))
369.0ms	(/.f64 a (-.f64 (.f64 x y) (.f64 t z)))
224.0ms	(-.f64 (.f64 x y) (.f64 t z))

Compiler

Compiled 2496 to 1820 computations (27.1% saved)

simplify773.0ms (5.4%)

Algorithm

1×	egg-herbie

Rules

404×	`associate-/r*_binary64_18095`
395×	`associate-/r/_binary64_18097`
364×	`div-sub_binary64_18156`
318×	`*-commutative_binary64_18082`
317×	`cancel-sign-sub-inv_binary64_18117`
252×	`unswap-sqr_binary64_18119`
211×	`unsub-neg_binary64_18145`
164×	`distribute-rgt-in_binary64_18101`
160×	`distribute-lft-in_binary64_18100`
146×	`associate-/l*_binary64_18096`
145×	`associate-/l/_binary64_18098`
144×	`neg-mul-1_binary64_18147`
140×	`neg-sub0_binary64_18146`
110×	`times-frac_binary64_18157` `sub-neg_binary64_18144`
107×	`exp-prod_binary64_18203`
95×	`sqr-pow_binary64_18123`
86×	`associate-*l/_binary64_18094`
82×	`distribute-rgt-neg-in_binary64_18109`
75×	`distribute-lft-neg-in_binary64_18108`
66×	`*-rgt-identity_binary64_18141`
62×	`associate-r_binary64_18091`
58×	`cube-prod_binary64_18179`
57×	`associate-l_binary64_18092`
52×	`associate-*r/_binary64_18093`
51×	`exp-sum_binary64_18197`
46×	`pow-sqr_binary64_18124` `distribute-neg-frac_binary64_18115`
44×	`difference-of-squares_binary64_18120`
41×	`distribute-lft-neg-out_binary64_18110`
33×	`*-lft-identity_binary64_18140` `swap-sqr_binary64_18118`
31×	`/-rgt-identity_binary64_18142`
30×	`mul0-lft_binary64_18133`
29×	`mul0-rgt_binary64_18134`
28×	`log-prod_binary64_18237` `distribute-rgt-neg-out_binary64_18111`
27×	`+-commutative_binary64_18081`
26×	`exp-diff_binary64_18199`
22×	`sub0-neg_binary64_18138`
19×	`pow-plus_binary64_18214`
17×	`log-div_binary64_18238` `distribute-rgt-out_binary64_18104`
16×	`associate--l-_binary64_18089`
15×	`associate-+l-_binary64_18086`
13×	`cube-div_binary64_18180`
11×	`div0_binary64_18132`
10×	`+-lft-identity_binary64_18135`
9×	`unpow3_binary64_18217` `cube-mult_binary64_18181` `distribute-neg-out_binary64_18113` `distribute-neg-in_binary64_18112`
8×	`remove-double-neg_binary64_18139` `distribute-frac-neg_binary64_18114` `distribute-lft-out_binary64_18102` `associate-+r-_binary64_18085`
7×	`log-rec_binary64_18239` `exp-lft-sqr_binary64_18206`
6×	`exp-neg_binary64_18198` `+-rgt-identity_binary64_18136`
5×	`cube-unmult_binary64_18188` `mul-1-neg_binary64_18143` `remove-double-div_binary64_18127` `associate--r-_binary64_18090` `associate--r+_binary64_18087`
4×	`unpow2_binary64_18216` `unpow1_binary64_18209` `cube-neg_binary64_18178` `sqr-neg_binary64_18165` `distribute-rgt-out--_binary64_18105` `associate-+r+_binary64_18083`
3×	`log-pow_binary64_18240` `associate-+l+_binary64_18084`
2×	`exp-to-pow_binary64_18213` `exp-sqrt_binary64_18204` `div-exp_binary64_18202` `cancel-sign-sub_binary64_18116` `distribute-rgt1-in_binary64_18107`
1×	`pow-base-1_binary64_18211` `rec-exp_binary64_18201` `prod-exp_binary64_18200` `1-exp_binary64_18195` `exp-1-e_binary64_18194` `rem-log-exp_binary64_18192` `rem-cbrt-cube_binary64_18175` `rem-sqrt-square_binary64_18164` `--rgt-identity_binary64_18137` `*-inverses_binary64_18131` `rgt-mult-inverse_binary64_18128` `count-2_binary64_18099` `associate--l+_binary64_18088`
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_18414` `erf-erfc_binary64_18413` `erf-odd_binary64_18412` `if-if-and-not_binary64_18411` `if-if-and_binary64_18410` `if-if-or-not_binary64_18409` `if-if-or_binary64_18408` `if-not_binary64_18407` `if-same_binary64_18406` `if-false_binary64_18405` `if-true_binary64_18404` `not-gte_binary64_18403` `not-lte_binary64_18402` `not-gt_binary64_18401` `not-lt_binary64_18400` `gte-same_binary64_18399` `lte-same_binary64_18398` `gt-same_binary64_18397` `lt-same_binary64_18396` `sinh---cosh_binary64_18343` `sinh-+-cosh_binary64_18342` `sinh-cosh_binary64_18341` `tanh-def-c_binary64_18340` `tanh-def-b_binary64_18339` `tanh-def-a_binary64_18338` `cosh-def_binary64_18337` `sinh-def_binary64_18336` `tan-neg_binary64_18283` `cos-neg_binary64_18282` `sin-neg_binary64_18281` `tan-0_binary64_18280` `cos-0_binary64_18279` `sin-0_binary64_18278` `hang-m-tan_binary64_18277` `hang-p-tan_binary64_18276` `hang-m0-tan_binary64_18275` `hang-p0-tan_binary64_18274` `hang-0m-tan_binary64_18273` `hang-0p-tan_binary64_18272` `tan-+PI/2_binary64_18271` `tan-+PI_binary64_18270` `tan-PI_binary64_18269` `tan-PI/3_binary64_18268` `tan-PI/4_binary64_18267` `tan-PI/6_binary64_18266` `cos-+PI/2_binary64_18265` `cos-+PI_binary64_18264` `cos-PI_binary64_18263` `cos-PI/2_binary64_18262` `cos-PI/3_binary64_18261` `cos-PI/4_binary64_18260` `cos-PI/6_binary64_18259` `sin-+PI/2_binary64_18258` `sin-+PI_binary64_18257` `sin-PI_binary64_18256` `sin-PI/2_binary64_18255` `sin-PI/3_binary64_18254` `sin-PI/4_binary64_18253` `sin-PI/6_binary64_18252` `sub-1-sin_binary64_18251` `sub-1-cos_binary64_18250` `-1-add-sin_binary64_18249` `-1-add-cos_binary64_18248` `1-sub-sin_binary64_18247` `1-sub-cos_binary64_18246` `cos-sin-sum_binary64_18245` `log-E_binary64_18241` `pow-base-0_binary64_18235` `unpow1/3_binary64_18218` `unpow1/2_binary64_18215` `unpow0_binary64_18210` `unpow-1_binary64_18208` `exp-lft-cube_binary64_18207` `exp-cbrt_binary64_18205` `e-exp-1_binary64_18196` `exp-0_binary64_18193` `rem-exp-log_binary64_18191` `rem-3cbrt-rft_binary64_18177` `rem-3cbrt-lft_binary64_18176` `rem-cube-cbrt_binary64_18174` `sqr-abs_binary64_18166` `rem-square-sqrt_binary64_18163` `+-inverses_binary64_18130` `lft-mult-inverse_binary64_18129` `difference-of-sqr--1_binary64_18122` `difference-of-sqr-1_binary64_18121` `distribute-lft1-in_binary64_18106` `distribute-lft-out--_binary64_18103`

Counts

203 → 661

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	212	4721
1	494	4500
2	1920	3938
3	3392	3938

prune899.0ms (6.3%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	661	0	661
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	661	9	670

Error

0.0b

Counts

670 → 9

Compiler

Compiled 17729 to 4745 computations (73.2% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (/.f64 (*.f64 x y) a) (/.f64 t (/.f64 a z)))
4.7b	(/.f64 t (/.f64 a z))
5.5b	(/.f64 (*.f64 x y) a)

rewrite191.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

147×	`times-frac_binary64_18157`
91×	`add-sqr-sqrt_binary64_18173`
84×	`*-un-lft-identity_binary64_18151`
82×	`add-cube-cbrt_binary64_18186`
44×	`cancel-sign-sub-inv_binary64_18117`
16×	`associate-/r*_binary64_18095`
13×	`add-exp-log_binary64_18189` `add-cbrt-cube_binary64_18187`
10×	`div-inv_binary64_18148`
5×	`div-exp_binary64_18202` `add-log-exp_binary64_18190` `cbrt-undiv_binary64_18185`
4×	`associate-/l*_binary64_18096`
3×	`pow1_binary64_18212` `difference-of-squares_binary64_18120`
2×	`frac-2neg_binary64_18162` `clear-num_binary64_18150` `associate-/r/_binary64_18097`
1×	`prod-exp_binary64_18200` `cbrt-unprod_binary64_18184` `diff-log_binary64_18243` `frac-sub_binary64_18160` `flip3--_binary64_18155` `sub-neg_binary64_18144` `flip--_binary64_18126` `distribute-lft-out--_binary64_18103`

Counts

3 → 151

Calls

3 calls:

28.0ms	(-.f64 (/.f64 (*.f64 x y) a) (/.f64 t (/.f64 a z)))
6.0ms	(/.f64 t (/.f64 a z))
4.0ms	(/.f64 (*.f64 x y) a)

Compiler

Compiled 3172 to 710 computations (77.6% saved)

series811.0ms (5.7%)

Error

0.0b

Counts

3 → 45

Calls

3 calls:

487.0ms	(-.f64 (/.f64 (*.f64 x y) a) (/.f64 t (/.f64 a z)))
154.0ms	(/.f64 t (/.f64 a z))
149.0ms	(/.f64 (*.f64 x y) a)

Compiler

Compiled 1221 to 785 computations (35.7% saved)

simplify659.0ms (4.6%)

Algorithm

1×	egg-herbie

Rules

338×	`div-sub_binary64_18156`
319×	`distribute-rgt-neg-in_binary64_18109`
281×	`associate-*l/_binary64_18094`
269×	`distribute-lft-neg-out_binary64_18110`
266×	`distribute-neg-frac_binary64_18115`
240×	`associate-/l*_binary64_18096`
229×	`*-commutative_binary64_18082`
225×	`cancel-sign-sub-inv_binary64_18117`
223×	`associate-*r/_binary64_18093`
192×	`associate-/r/_binary64_18097`
188×	`distribute-rgt-neg-out_binary64_18111`
179×	`associate-r_binary64_18091`
176×	`associate-/l/_binary64_18098`
174×	`neg-sub0_binary64_18146`
157×	`associate-l_binary64_18092`
140×	`neg-mul-1_binary64_18147`
130×	`sub-neg_binary64_18144` `distribute-frac-neg_binary64_18114`
93×	`times-frac_binary64_18157`
55×	`associate-/r*_binary64_18095`
43×	`exp-prod_binary64_18203`
36×	`log-div_binary64_18238`
35×	`*-rgt-identity_binary64_18141` `distribute-lft-neg-in_binary64_18108`
34×	`cube-div_binary64_18180` `/-rgt-identity_binary64_18142`
27×	`log-prod_binary64_18237` `*-lft-identity_binary64_18140`
26×	`cube-prod_binary64_18179` `sqr-pow_binary64_18123`
23×	`+-commutative_binary64_18081`
22×	`swap-sqr_binary64_18118`
18×	`unswap-sqr_binary64_18119`
17×	`div-exp_binary64_18202`
16×	`prod-exp_binary64_18200`
13×	`div0_binary64_18132`
10×	`unpow3_binary64_18217`
9×	`pow-sqr_binary64_18124`
8×	`cube-unmult_binary64_18188`
6×	`cube-mult_binary64_18181`
5×	`associate-+r-_binary64_18085`
4×	`log-rec_binary64_18239` `rec-exp_binary64_18201` `mul-1-neg_binary64_18143` `distribute-neg-in_binary64_18112` `distribute-rgt-in_binary64_18101` `distribute-lft-in_binary64_18100`
3×	`exp-diff_binary64_18199` `exp-sum_binary64_18197` `rem-square-sqrt_binary64_18163` `+-rgt-identity_binary64_18136` `remove-double-div_binary64_18127` `difference-of-squares_binary64_18120` `associate-+l+_binary64_18084`
2×	`rem-3cbrt-lft_binary64_18176` `unsub-neg_binary64_18145` `associate--l+_binary64_18088` `associate-+r+_binary64_18083`
1×	`log-pow_binary64_18240` `pow-plus_binary64_18214` `1-exp_binary64_18195` `rem-log-exp_binary64_18192` `rem-sqrt-square_binary64_18164` `remove-double-neg_binary64_18139` `cancel-sign-sub_binary64_18116` `distribute-rgt-out_binary64_18104` `associate--r-_binary64_18090` `associate--r+_binary64_18087`
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_18414` `erf-erfc_binary64_18413` `erf-odd_binary64_18412` `if-if-and-not_binary64_18411` `if-if-and_binary64_18410` `if-if-or-not_binary64_18409` `if-if-or_binary64_18408` `if-not_binary64_18407` `if-same_binary64_18406` `if-false_binary64_18405` `if-true_binary64_18404` `not-gte_binary64_18403` `not-lte_binary64_18402` `not-gt_binary64_18401` `not-lt_binary64_18400` `gte-same_binary64_18399` `lte-same_binary64_18398` `gt-same_binary64_18397` `lt-same_binary64_18396` `sinh---cosh_binary64_18343` `sinh-+-cosh_binary64_18342` `sinh-cosh_binary64_18341` `tanh-def-c_binary64_18340` `tanh-def-b_binary64_18339` `tanh-def-a_binary64_18338` `cosh-def_binary64_18337` `sinh-def_binary64_18336` `tan-neg_binary64_18283` `cos-neg_binary64_18282` `sin-neg_binary64_18281` `tan-0_binary64_18280` `cos-0_binary64_18279` `sin-0_binary64_18278` `hang-m-tan_binary64_18277` `hang-p-tan_binary64_18276` `hang-m0-tan_binary64_18275` `hang-p0-tan_binary64_18274` `hang-0m-tan_binary64_18273` `hang-0p-tan_binary64_18272` `tan-+PI/2_binary64_18271` `tan-+PI_binary64_18270` `tan-PI_binary64_18269` `tan-PI/3_binary64_18268` `tan-PI/4_binary64_18267` `tan-PI/6_binary64_18266` `cos-+PI/2_binary64_18265` `cos-+PI_binary64_18264` `cos-PI_binary64_18263` `cos-PI/2_binary64_18262` `cos-PI/3_binary64_18261` `cos-PI/4_binary64_18260` `cos-PI/6_binary64_18259` `sin-+PI/2_binary64_18258` `sin-+PI_binary64_18257` `sin-PI_binary64_18256` `sin-PI/2_binary64_18255` `sin-PI/3_binary64_18254` `sin-PI/4_binary64_18253` `sin-PI/6_binary64_18252` `sub-1-sin_binary64_18251` `sub-1-cos_binary64_18250` `-1-add-sin_binary64_18249` `-1-add-cos_binary64_18248` `1-sub-sin_binary64_18247` `1-sub-cos_binary64_18246` `cos-sin-sum_binary64_18245` `log-E_binary64_18241` `pow-base-0_binary64_18235` `unpow1/3_binary64_18218` `unpow2_binary64_18216` `unpow1/2_binary64_18215` `exp-to-pow_binary64_18213` `pow-base-1_binary64_18211` `unpow0_binary64_18210` `unpow1_binary64_18209` `unpow-1_binary64_18208` `exp-lft-cube_binary64_18207` `exp-lft-sqr_binary64_18206` `exp-cbrt_binary64_18205` `exp-sqrt_binary64_18204` `exp-neg_binary64_18198` `e-exp-1_binary64_18196` `exp-1-e_binary64_18194` `exp-0_binary64_18193` `rem-exp-log_binary64_18191` `cube-neg_binary64_18178` `rem-3cbrt-rft_binary64_18177` `rem-cbrt-cube_binary64_18175` `rem-cube-cbrt_binary64_18174` `sqr-abs_binary64_18166` `sqr-neg_binary64_18165` `sub0-neg_binary64_18138` `--rgt-identity_binary64_18137` `+-lft-identity_binary64_18135` `mul0-rgt_binary64_18134` `mul0-lft_binary64_18133` `*-inverses_binary64_18131` `+-inverses_binary64_18130` `lft-mult-inverse_binary64_18129` `rgt-mult-inverse_binary64_18128` `difference-of-sqr--1_binary64_18122` `difference-of-sqr-1_binary64_18121` `distribute-neg-out_binary64_18113` `distribute-rgt1-in_binary64_18107` `distribute-lft1-in_binary64_18106` `distribute-rgt-out--_binary64_18105` `distribute-lft-out--_binary64_18103` `distribute-lft-out_binary64_18102` `count-2_binary64_18099` `associate--l-_binary64_18089` `associate-+l-_binary64_18086`

Counts

196 → 609

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	314	3416
1	900	3374
2	3521	2927

prune530.0ms (3.7%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	606	3	609
Fresh	1	6	7
Picked	0	1	1
Done	0	1	1
Total	607	11	618

Error

Counts

618 → 11

Compiler

Compiled 12761 to 1552 computations (87.8% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 a)
1.8b	(/.f64 (*.f64 (/.f64 x (cbrt.f64 a)) (/.f64 y (cbrt.f64 a))) (cbrt.f64 a))
3.8b	(*.f64 (/.f64 x (cbrt.f64 a)) (/.f64 y (cbrt.f64 a)))
4.7b	(/.f64 t (/.f64 a z))

rewrite251.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

129×	`times-frac_binary64_18157`
107×	`add-sqr-sqrt_binary64_18173`
77×	`add-cube-cbrt_binary64_18186` `*-un-lft-identity_binary64_18151`
39×	`add-exp-log_binary64_18189`
33×	`cbrt-prod_binary64_18182`
26×	`add-cbrt-cube_binary64_18187`
22×	`associate-l_binary64_18092` `associate-r_binary64_18091`
19×	`associate-/r*_binary64_18095`
16×	`div-exp_binary64_18202` `cbrt-undiv_binary64_18185`
9×	`unswap-sqr_binary64_18119`
8×	`div-inv_binary64_18148` `prod-exp_binary64_18200` `cbrt-unprod_binary64_18184`
6×	`pow1_binary64_18212`
4×	`add-log-exp_binary64_18190` `associate-/l*_binary64_18096`
3×	`associate-/l/_binary64_18098`
2×	`frac-2neg_binary64_18162` `clear-num_binary64_18150` `frac-times_binary64_18161` `associate-l/_binary64_18094` `associate-r/_binary64_18093`
1×	`associate-/r/_binary64_18097` `pow-prod-down_binary64_18222` `*-commutative_binary64_18082` `pow1/3_binary64_18233`

Counts

4 → 190

Calls

4 calls:

18.0ms	(*.f64 (/.f64 x (cbrt.f64 a)) (/.f64 y (cbrt.f64 a)))
11.0ms	(/.f64 (*.f64 (/.f64 x (cbrt.f64 a)) (/.f64 y (cbrt.f64 a))) (cbrt.f64 a))
6.0ms	(/.f64 t (/.f64 a z))
1.0ms	(cbrt.f64 a)

Compiler

Compiled 5055 to 931 computations (81.6% saved)

series1.1s (7.5%)

Error

Counts

4 → 30

Calls

4 calls:

604.0ms	(*.f64 (/.f64 x (cbrt.f64 a)) (/.f64 y (cbrt.f64 a)))
185.0ms	(/.f64 (*.f64 (/.f64 x (cbrt.f64 a)) (/.f64 y (cbrt.f64 a))) (cbrt.f64 a))
142.0ms	(/.f64 t (/.f64 a z))
111.0ms	(cbrt.f64 a)

Compiler

Compiled 1545 to 992 computations (35.8% saved)

simplify630.0ms (4.4%)

Algorithm

1×	egg-herbie

Rules

368×	`associate-/l*_binary64_18096`
267×	`associate-*l/_binary64_18094`
239×	`associate-/l/_binary64_18098`
234×	`cancel-sign-sub-inv_binary64_18117`
229×	`associate-*r/_binary64_18093`
228×	`times-frac_binary64_18157`
193×	`*-commutative_binary64_18082`
177×	`sqr-pow_binary64_18123`
175×	`associate-/r/_binary64_18097`
170×	`associate-/r*_binary64_18095`
162×	`associate-l_binary64_18092`
139×	`associate-r_binary64_18091`
135×	`log-prod_binary64_18237`
133×	`log-div_binary64_18238`
131×	`sub-neg_binary64_18144`
117×	`cube-div_binary64_18180`
115×	`cube-prod_binary64_18179`
90×	`unswap-sqr_binary64_18119`
78×	`div-sub_binary64_18156`
72×	`neg-mul-1_binary64_18147` `swap-sqr_binary64_18118`
70×	`pow-sqr_binary64_18124`
68×	`exp-prod_binary64_18203` `*-rgt-identity_binary64_18141`
65×	`neg-sub0_binary64_18146` `distribute-neg-frac_binary64_18115`
59×	`distribute-lft-neg-in_binary64_18108`
58×	`distribute-rgt-neg-in_binary64_18109`
47×	`/-rgt-identity_binary64_18142`
45×	`unpow3_binary64_18217`
41×	`*-lft-identity_binary64_18140`
40×	`cube-mult_binary64_18181`
33×	`associate--l+_binary64_18088`
32×	`unsub-neg_binary64_18145`
26×	`pow-plus_binary64_18214`
25×	`associate-+l-_binary64_18086`
23×	`associate-+l+_binary64_18084` `associate-+r+_binary64_18083`
21×	`cube-unmult_binary64_18188`
19×	`associate--r+_binary64_18087`
17×	`log-pow_binary64_18240` `+-commutative_binary64_18081`
16×	`div-exp_binary64_18202` `prod-exp_binary64_18200` `associate--l-_binary64_18089`
14×	`associate-+r-_binary64_18085`
13×	`log-rec_binary64_18239`
10×	`associate--r-_binary64_18090`
9×	`rem-sqrt-square_binary64_18164` `distribute-neg-in_binary64_18112`
8×	`distribute-rgt-in_binary64_18101`
6×	`distribute-lft-in_binary64_18100`
5×	`div0_binary64_18132`
4×	`rec-exp_binary64_18201` `remove-double-neg_binary64_18139` `sub0-neg_binary64_18138` `distribute-frac-neg_binary64_18114`
3×	`unpow1/3_binary64_18218` `mul-1-neg_binary64_18143` `remove-double-div_binary64_18127` `count-2_binary64_18099`
2×	`unpow2_binary64_18216` `unpow1_binary64_18209` `*-inverses_binary64_18131`
1×	`pow-base-1_binary64_18211` `exp-sqrt_binary64_18204` `exp-diff_binary64_18199` `1-exp_binary64_18195` `exp-1-e_binary64_18194` `rem-log-exp_binary64_18192` `rem-3cbrt-rft_binary64_18177` `rem-3cbrt-lft_binary64_18176` `rem-cbrt-cube_binary64_18175` `rem-cube-cbrt_binary64_18174` `--rgt-identity_binary64_18137` `mul0-rgt_binary64_18134` `mul0-lft_binary64_18133` `rgt-mult-inverse_binary64_18128` `distribute-rgt-neg-out_binary64_18111` `distribute-lft-neg-out_binary64_18110` `distribute-rgt-out_binary64_18104` `distribute-lft-out_binary64_18102`
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_18414` `erf-erfc_binary64_18413` `erf-odd_binary64_18412` `if-if-and-not_binary64_18411` `if-if-and_binary64_18410` `if-if-or-not_binary64_18409` `if-if-or_binary64_18408` `if-not_binary64_18407` `if-same_binary64_18406` `if-false_binary64_18405` `if-true_binary64_18404` `not-gte_binary64_18403` `not-lte_binary64_18402` `not-gt_binary64_18401` `not-lt_binary64_18400` `gte-same_binary64_18399` `lte-same_binary64_18398` `gt-same_binary64_18397` `lt-same_binary64_18396` `sinh---cosh_binary64_18343` `sinh-+-cosh_binary64_18342` `sinh-cosh_binary64_18341` `tanh-def-c_binary64_18340` `tanh-def-b_binary64_18339` `tanh-def-a_binary64_18338` `cosh-def_binary64_18337` `sinh-def_binary64_18336` `tan-neg_binary64_18283` `cos-neg_binary64_18282` `sin-neg_binary64_18281` `tan-0_binary64_18280` `cos-0_binary64_18279` `sin-0_binary64_18278` `hang-m-tan_binary64_18277` `hang-p-tan_binary64_18276` `hang-m0-tan_binary64_18275` `hang-p0-tan_binary64_18274` `hang-0m-tan_binary64_18273` `hang-0p-tan_binary64_18272` `tan-+PI/2_binary64_18271` `tan-+PI_binary64_18270` `tan-PI_binary64_18269` `tan-PI/3_binary64_18268` `tan-PI/4_binary64_18267` `tan-PI/6_binary64_18266` `cos-+PI/2_binary64_18265` `cos-+PI_binary64_18264` `cos-PI_binary64_18263` `cos-PI/2_binary64_18262` `cos-PI/3_binary64_18261` `cos-PI/4_binary64_18260` `cos-PI/6_binary64_18259` `sin-+PI/2_binary64_18258` `sin-+PI_binary64_18257` `sin-PI_binary64_18256` `sin-PI/2_binary64_18255` `sin-PI/3_binary64_18254` `sin-PI/4_binary64_18253` `sin-PI/6_binary64_18252` `sub-1-sin_binary64_18251` `sub-1-cos_binary64_18250` `-1-add-sin_binary64_18249` `-1-add-cos_binary64_18248` `1-sub-sin_binary64_18247` `1-sub-cos_binary64_18246` `cos-sin-sum_binary64_18245` `log-E_binary64_18241` `pow-base-0_binary64_18235` `unpow1/2_binary64_18215` `exp-to-pow_binary64_18213` `unpow0_binary64_18210` `unpow-1_binary64_18208` `exp-lft-cube_binary64_18207` `exp-lft-sqr_binary64_18206` `exp-cbrt_binary64_18205` `exp-neg_binary64_18198` `exp-sum_binary64_18197` `e-exp-1_binary64_18196` `exp-0_binary64_18193` `rem-exp-log_binary64_18191` `cube-neg_binary64_18178` `sqr-abs_binary64_18166` `sqr-neg_binary64_18165` `rem-square-sqrt_binary64_18163` `+-rgt-identity_binary64_18136` `+-lft-identity_binary64_18135` `+-inverses_binary64_18130` `lft-mult-inverse_binary64_18129` `difference-of-sqr--1_binary64_18122` `difference-of-sqr-1_binary64_18121` `difference-of-squares_binary64_18120` `cancel-sign-sub_binary64_18116` `distribute-neg-out_binary64_18113` `distribute-rgt1-in_binary64_18107` `distribute-lft1-in_binary64_18106` `distribute-rgt-out--_binary64_18105` `distribute-lft-out--_binary64_18103`

Counts

220 → 506

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	342	4174
1	840	3453
2	3440	3390
3	4019	3390

prune542.0ms (3.8%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	506	0	506
Fresh	0	8	8
Picked	0	1	1
Done	0	2	2
Total	506	11	517

Error

Counts

517 → 11

Compiler

Compiled 13586 to 2280 computations (83.2% saved)

regimes1.9s (13.5%)

Accuracy

Total 0.8b remaining (99.6%)

Threshold costs 0.8b (99.6%)

Compiler

Compiled 12463 to 8427 computations (32.4% saved)

bsearch3.0ms (0%)

Compiler: Compiled 7 to 8 computations (-14.3% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

7×	`*-commutative_binary64_18082`
6×	`sub-neg_binary64_18144` `+-commutative_binary64_18081`
4×	`neg-mul-1_binary64_18147` `neg-sub0_binary64_18146`
2×	`cancel-sign-sub-inv_binary64_18117` `distribute-rgt-neg-in_binary64_18109`
1×	`if-if-or-not_binary64_18409` `distribute-neg-frac_binary64_18115` `distribute-lft-neg-out_binary64_18110` `distribute-lft-neg-in_binary64_18108`
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_18411` `if-if-and_binary64_18410` `if-if-or_binary64_18408` `if-not_binary64_18407` `if-same_binary64_18406` `if-false_binary64_18405` `if-true_binary64_18404` `tan-0_binary64_18280` `cos-0_binary64_18279` `sin-0_binary64_18278` `unpow1_binary64_18209` `e-exp-1_binary64_18196` `1-exp_binary64_18195` `exp-1-e_binary64_18194` `exp-0_binary64_18193` `sqr-abs_binary64_18166` `sqr-neg_binary64_18165` `unsub-neg_binary64_18145` `mul-1-neg_binary64_18143` `/-rgt-identity_binary64_18142` `-rgt-identity_binary64_18141` `-lft-identity_binary64_18140` `remove-double-neg_binary64_18139` `sub0-neg_binary64_18138` `--rgt-identity_binary64_18137` `+-rgt-identity_binary64_18136` `+-lft-identity_binary64_18135` `cancel-sign-sub_binary64_18116` `distribute-frac-neg_binary64_18114` `distribute-neg-out_binary64_18113` `distribute-neg-in_binary64_18112` `distribute-rgt-neg-out_binary64_18111`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	61
1	35	61
2	49	61
3	57	61
4	62	61
5	63	61

Proof

(=> (if real (<= f64 (- f64 (* f64 h0 h1) (* f64 h2 h3)) -26682022131357653180299280122931020521310370807337605572763353183815713322303017991199194036894276429554786110726721566835701101385436380765430965613422455973970351382875657250917406402309129486940201477411453756031888263058101353493300151452987883078464045425098752) (- f64 (* f64 h0 (/ f64 h1 h4)) (/ f64 h3 (/ f64 h4 h2))) (if real (<= f64 (- f64 (* f64 h0 h1) (* f64 h2 h3)) 2169489614074782769620514205706361119272486573717921109616092993654855128450244625010349691216481265240157815264883936367448720997584649130566259071729634409807933563351098644082245372044935025913757696) (/ f64 (- f64 (* f64 h0 h1) (* f64 h2 h3)) h4) (- f64 (* f64 h0 (/ f64 h1 h4)) (/ f64 h3 (/ f64 h4 h2))))))
if-if-or-not_binary64_18409 =>
(if real (or real (<= f64 (- f64 (* f64 h0 h1) (* f64 h2 h3)) -26682022131357653180299280122931020521310370807337605572763353183815713322303017991199194036894276429554786110726721566835701101385436380765430965613422455973970351382875657250917406402309129486940201477411453756031888263058101353493300151452987883078464045425098752) (not real (<= f64 (- f64 (* f64 h0 h1) (* f64 h2 h3)) 2169489614074782769620514205706361119272486573717921109616092993654855128450244625010349691216481265240157815264883936367448720997584649130566259071729634409807933563351098644082245372044935025913757696))) (- f64 (* f64 h0 (/ f64 h1 h4)) (/ f64 h3 (/ f64 h4 h2))) (/ f64 (- f64 (* f64 h0 h1) (* f64 h2 h3)) h4))

end0.0ms (0%)

sample1.7s (12.2%)

Algorithm

1×

intervals

Results

269.0ms	8000×	body	128	valid
107.0ms	3007×	body	128	invalid

Compiler

Compiled 1234 to 830 computations (32.7% saved)

Details

analyze877.0ms (6.2%)

sample34.0ms (0.2%)

simplify891.0ms (6.3%)

prune2.0ms (0%)

localize7.0ms (0.1%)

rewrite62.0ms (0.4%)

series697.0ms (4.9%)

simplify200.0ms (1.4%)

prune135.0ms (1%)

localize9.0ms (0.1%)

rewrite161.0ms (1.1%)

series1.1s (7.8%)

simplify773.0ms (5.4%)

prune899.0ms (6.3%)

localize9.0ms (0.1%)

rewrite191.0ms (1.3%)

series811.0ms (5.7%)

simplify659.0ms (4.6%)

prune530.0ms (3.7%)

localize13.0ms (0.1%)

rewrite251.0ms (1.8%)

series1.1s (7.5%)

simplify630.0ms (4.4%)

prune542.0ms (3.8%)

regimes1.9s (13.5%)

bsearch3.0ms (0%)

simplify7.0ms (0.1%)

end0.0ms (0%)

sample1.7s (12.2%)

Profiling