Details

analyze625.0ms (4.8%)

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
16.4%	83.4%	0.2%	9
21.4%	78.4%	0.2%	10
25.9%	73.3%	0.8%	11
28%	70.2%	1.9%	12
39.6%	55.8%	4.6%	13
43.9%	50.4%	5.8%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample23.0ms (0.2%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
2.0ms	61×	body	128	invalid

Compiler

Compiled 19 to 21 computations (-10.5% saved)

simplify1.4s (10.6%)

Algorithm

1×	egg-herbie

Rules

967×	`exp-prod_binary64_13088`
887×	`swap-sqr_binary64_13003`
314×	`distribute-rgt-out_binary64_12989`
304×	`associate-/l*_binary64_12981`
281×	`associate-r_binary64_12976`
278×	`associate-l_binary64_12977`
266×	`sub-neg_binary64_13029`
237×	`distribute-rgt-out--_binary64_12990`
225×	`distribute-lft-out_binary64_12987`
207×	`distribute-lft-out--_binary64_12988`
168×	`cancel-sign-sub-inv_binary64_13002`
128×	`associate-/l/_binary64_12983`
67×	`unsub-neg_binary64_13030`
64×	`div-sub_binary64_13041`
62×	`associate-*l/_binary64_12979`
60×	`times-frac_binary64_13042`
55×	`distribute-rgt-in_binary64_12986` `associate-*r/_binary64_12978`
53×	`associate-/r*_binary64_12980`
45×	`neg-mul-1_binary64_13032`
42×	`neg-sub0_binary64_13031`
35×	`distribute-rgt-neg-in_binary64_12994`
33×	`distribute-lft-neg-in_binary64_12993`
27×	`associate-/r/_binary64_12982`
25×	`distribute-lft-in_binary64_12985`
24×	`sqr-pow_binary64_13008` `distribute-neg-in_binary64_12997` `*-commutative_binary64_12967`
20×	`associate--r+_binary64_12972` `+-commutative_binary64_12966`
16×	`distribute-rgt1-in_binary64_12992` `associate-+l-_binary64_12971`
15×	`+-inverses_binary64_13015`
14×	`associate-+r+_binary64_12968`
13×	`distribute-lft-neg-out_binary64_12995`
12×	`pow-plus_binary64_13099` `distribute-neg-frac_binary64_13000` `associate-+r-_binary64_12970` `associate-+l+_binary64_12969`
11×	`sub0-neg_binary64_13023` `distribute-rgt-neg-out_binary64_12996`
8×	`+-rgt-identity_binary64_13021` `mul0-lft_binary64_13018` `unswap-sqr_binary64_13004` `distribute-frac-neg_binary64_12999`
7×	`exp-sum_binary64_13082` `cube-unmult_binary64_13073` `remove-double-neg_binary64_13024`
6×	`mul0-rgt_binary64_13019` `difference-of-squares_binary64_13005`
5×	`distribute-lft1-in_binary64_12991`
4×	`exp-lft-sqr_binary64_13091` `+-lft-identity_binary64_13020` `count-2_binary64_12984` `associate--l+_binary64_12973`
3×	`--rgt-identity_binary64_13022` `div0_binary64_13017` `associate--r-_binary64_12975`
2×	`associate--l-_binary64_12974`
1×	`exp-diff_binary64_13084` `1-exp_binary64_13080` `sqr-neg_binary64_13050` `mul-1-neg_binary64_13028` `-rgt-identity_binary64_13026` `-lft-identity_binary64_13025`
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_13299` `erf-erfc_binary64_13298` `erf-odd_binary64_13297` `if-if-and-not_binary64_13296` `if-if-and_binary64_13295` `if-if-or-not_binary64_13294` `if-if-or_binary64_13293` `if-not_binary64_13292` `if-same_binary64_13291` `if-false_binary64_13290` `if-true_binary64_13289` `not-gte_binary64_13288` `not-lte_binary64_13287` `not-gt_binary64_13286` `not-lt_binary64_13285` `gte-same_binary64_13284` `lte-same_binary64_13283` `gt-same_binary64_13282` `lt-same_binary64_13281` `sinh---cosh_binary64_13228` `sinh-+-cosh_binary64_13227` `sinh-cosh_binary64_13226` `tanh-def-c_binary64_13225` `tanh-def-b_binary64_13224` `tanh-def-a_binary64_13223` `cosh-def_binary64_13222` `sinh-def_binary64_13221` `tan-neg_binary64_13168` `cos-neg_binary64_13167` `sin-neg_binary64_13166` `tan-0_binary64_13165` `cos-0_binary64_13164` `sin-0_binary64_13163` `hang-m-tan_binary64_13162` `hang-p-tan_binary64_13161` `hang-m0-tan_binary64_13160` `hang-p0-tan_binary64_13159` `hang-0m-tan_binary64_13158` `hang-0p-tan_binary64_13157` `tan-+PI/2_binary64_13156` `tan-+PI_binary64_13155` `tan-PI_binary64_13154` `tan-PI/3_binary64_13153` `tan-PI/4_binary64_13152` `tan-PI/6_binary64_13151` `cos-+PI/2_binary64_13150` `cos-+PI_binary64_13149` `cos-PI_binary64_13148` `cos-PI/2_binary64_13147` `cos-PI/3_binary64_13146` `cos-PI/4_binary64_13145` `cos-PI/6_binary64_13144` `sin-+PI/2_binary64_13143` `sin-+PI_binary64_13142` `sin-PI_binary64_13141` `sin-PI/2_binary64_13140` `sin-PI/3_binary64_13139` `sin-PI/4_binary64_13138` `sin-PI/6_binary64_13137` `sub-1-sin_binary64_13136` `sub-1-cos_binary64_13135` `-1-add-sin_binary64_13134` `-1-add-cos_binary64_13133` `1-sub-sin_binary64_13132` `1-sub-cos_binary64_13131` `cos-sin-sum_binary64_13130` `log-E_binary64_13126` `log-pow_binary64_13125` `log-rec_binary64_13124` `log-div_binary64_13123` `log-prod_binary64_13122` `pow-base-0_binary64_13120` `unpow1/3_binary64_13103` `unpow3_binary64_13102` `unpow2_binary64_13101` `unpow1/2_binary64_13100` `exp-to-pow_binary64_13098` `pow-base-1_binary64_13096` `unpow0_binary64_13095` `unpow1_binary64_13094` `unpow-1_binary64_13093` `exp-lft-cube_binary64_13092` `exp-cbrt_binary64_13090` `exp-sqrt_binary64_13089` `div-exp_binary64_13087` `rec-exp_binary64_13086` `prod-exp_binary64_13085` `exp-neg_binary64_13083` `e-exp-1_binary64_13081` `exp-1-e_binary64_13079` `exp-0_binary64_13078` `rem-log-exp_binary64_13077` `rem-exp-log_binary64_13076` `cube-mult_binary64_13066` `cube-div_binary64_13065` `cube-prod_binary64_13064` `cube-neg_binary64_13063` `rem-3cbrt-rft_binary64_13062` `rem-3cbrt-lft_binary64_13061` `rem-cbrt-cube_binary64_13060` `rem-cube-cbrt_binary64_13059` `sqr-abs_binary64_13051` `rem-sqrt-square_binary64_13049` `rem-square-sqrt_binary64_13048` `/-rgt-identity_binary64_13027` `*-inverses_binary64_13016` `lft-mult-inverse_binary64_13014` `rgt-mult-inverse_binary64_13013` `remove-double-div_binary64_13012` `pow-sqr_binary64_13009` `difference-of-sqr--1_binary64_13007` `difference-of-sqr-1_binary64_13006` `cancel-sign-sub_binary64_13001` `distribute-neg-out_binary64_12998`

Counts

1 → 6

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	15	13
2	30	13
3	59	13
4	118	13
5	188	13
6	409	13
7	2817	13

prune9.0ms (0.1%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	3	3	6
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	3	4	7

Error

0.0b

Counts

7 → 4

Compiler

Compiled 90 to 54 computations (40% saved)

localize6.0ms (0%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (*.f64 (/.f64 y t) (-.f64 z x)))
7.3b	(*.f64 (/.f64 y t) (-.f64 z x))

rewrite79.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

21×	`add-sqr-sqrt_binary64_13058`
16×	`*-un-lft-identity_binary64_13036`
14×	`add-cube-cbrt_binary64_13071`
13×	`associate-l_binary64_12977`
12×	`cancel-sign-sub-inv_binary64_13002`
10×	`times-frac_binary64_13042`
8×	`distribute-rgt-in_binary64_12986` `distribute-lft-in_binary64_12985` `associate-+r+_binary64_12968`
7×	`add-exp-log_binary64_13074` `add-cbrt-cube_binary64_13072`
5×	`associate-r_binary64_12976`
4×	`pow1_binary64_13097` `add-log-exp_binary64_13075` `sub-neg_binary64_13029`
2×	`prod-exp_binary64_13085` `cbrt-unprod_binary64_13069` `flip3--_binary64_13040` `frac-times_binary64_13046` `flip--_binary64_13011` `unswap-sqr_binary64_13004` `associate-*r/_binary64_12978`
1×	`pow-prod-down_binary64_13107` `div-exp_binary64_13087` `cbrt-undiv_binary64_13070` `associate-l/_binary64_12979` `div-inv_binary64_13033` `difference-of-squares_binary64_13005` `distribute-lft-out--_binary64_12988` `-commutative_binary64_12967` `sum-log_binary64_13127` `flip3-+_binary64_13039` `flip-+_binary64_13010` `+-commutative_binary64_12966`

Counts

2 → 65

Calls

2 calls:

11.0ms	(*.f64 (/.f64 y t) (-.f64 z x))
5.0ms	(+.f64 x (*.f64 (/.f64 y t) (-.f64 z x)))

Compiler

Compiled 1137 to 286 computations (74.8% saved)

series742.0ms (5.7%)

Error

0.0b

Counts

2 → 42

Calls

2 calls:

419.0ms	(+.f64 x (*.f64 (/.f64 y t) (-.f64 z x)))
299.0ms	(*.f64 (/.f64 y t) (-.f64 z x))

Compiler

Compiled 1118 to 645 computations (42.3% saved)

simplify229.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

516×	`times-frac_binary64_13042`
489×	`distribute-rgt-in_binary64_12986`
471×	`distribute-lft-in_binary64_12985`
396×	`associate-*l/_binary64_12979`
314×	`associate-*r/_binary64_12978`
256×	`associate-/l*_binary64_12981`
224×	`*-commutative_binary64_12967`
177×	`exp-prod_binary64_13088`
99×	`associate-l_binary64_12977`
91×	`exp-sum_binary64_13082`
89×	`associate-r_binary64_12976`
80×	`distribute-lft-neg-out_binary64_12995`
77×	`distribute-rgt-neg-in_binary64_12994`
73×	`cancel-sign-sub-inv_binary64_13002`
72×	`distribute-rgt-neg-out_binary64_12996`
57×	`sub-neg_binary64_13029`
56×	`associate-/r*_binary64_12980`
49×	`distribute-lft-neg-in_binary64_12993`
44×	`associate-+l+_binary64_12969`
43×	`neg-sub0_binary64_13031` `+-commutative_binary64_12966`
42×	`associate-/r/_binary64_12982`
40×	`associate-+r+_binary64_12968`
39×	`cube-prod_binary64_13064`
37×	`distribute-neg-frac_binary64_13000`
36×	`exp-diff_binary64_13084`
35×	`neg-mul-1_binary64_13032`
32×	`log-prod_binary64_13122`
29×	`distribute-neg-in_binary64_12997`
27×	`sqr-pow_binary64_13008` `associate-+r-_binary64_12970`
26×	`distribute-rgt-out_binary64_12989` `associate-+l-_binary64_12971`
23×	`cube-div_binary64_13065`
22×	`div-sub_binary64_13041`
21×	`log-div_binary64_13123`
19×	`distribute-rgt-out--_binary64_12990`
15×	`associate-/l/_binary64_12983`
14×	`-rgt-identity_binary64_13026` `-lft-identity_binary64_13025`
13×	`sqr-neg_binary64_13050` `unswap-sqr_binary64_13004` `swap-sqr_binary64_13003`
12×	`unpow3_binary64_13102` `exp-neg_binary64_13083`
11×	`unsub-neg_binary64_13030`
10×	`associate--r+_binary64_12972`
9×	`pow-sqr_binary64_13009`
8×	`cube-mult_binary64_13066` `mul-1-neg_binary64_13028` `associate--l+_binary64_12973`
7×	`cube-neg_binary64_13063`
6×	`distribute-lft-out_binary64_12987`
5×	`log-rec_binary64_13124` `cube-unmult_binary64_13073`
4×	`prod-exp_binary64_13085` `difference-of-squares_binary64_13005`
3×	`remove-double-neg_binary64_13024` `cancel-sign-sub_binary64_13001` `distribute-lft-out--_binary64_12988` `associate--r-_binary64_12975`
2×	`pow-base-1_binary64_13096` `+-rgt-identity_binary64_13021` `distribute-frac-neg_binary64_12999` `associate--l-_binary64_12974`
1×	`log-pow_binary64_13125` `pow-plus_binary64_13099` `1-exp_binary64_13080` `exp-1-e_binary64_13079` `rem-log-exp_binary64_13077` `rem-3cbrt-lft_binary64_13061` `rem-sqrt-square_binary64_13049` `rem-square-sqrt_binary64_13048` `/-rgt-identity_binary64_13027` `distribute-rgt1-in_binary64_12992` `distribute-lft1-in_binary64_12991`
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_13299` `erf-erfc_binary64_13298` `erf-odd_binary64_13297` `if-if-and-not_binary64_13296` `if-if-and_binary64_13295` `if-if-or-not_binary64_13294` `if-if-or_binary64_13293` `if-not_binary64_13292` `if-same_binary64_13291` `if-false_binary64_13290` `if-true_binary64_13289` `not-gte_binary64_13288` `not-lte_binary64_13287` `not-gt_binary64_13286` `not-lt_binary64_13285` `gte-same_binary64_13284` `lte-same_binary64_13283` `gt-same_binary64_13282` `lt-same_binary64_13281` `sinh---cosh_binary64_13228` `sinh-+-cosh_binary64_13227` `sinh-cosh_binary64_13226` `tanh-def-c_binary64_13225` `tanh-def-b_binary64_13224` `tanh-def-a_binary64_13223` `cosh-def_binary64_13222` `sinh-def_binary64_13221` `tan-neg_binary64_13168` `cos-neg_binary64_13167` `sin-neg_binary64_13166` `tan-0_binary64_13165` `cos-0_binary64_13164` `sin-0_binary64_13163` `hang-m-tan_binary64_13162` `hang-p-tan_binary64_13161` `hang-m0-tan_binary64_13160` `hang-p0-tan_binary64_13159` `hang-0m-tan_binary64_13158` `hang-0p-tan_binary64_13157` `tan-+PI/2_binary64_13156` `tan-+PI_binary64_13155` `tan-PI_binary64_13154` `tan-PI/3_binary64_13153` `tan-PI/4_binary64_13152` `tan-PI/6_binary64_13151` `cos-+PI/2_binary64_13150` `cos-+PI_binary64_13149` `cos-PI_binary64_13148` `cos-PI/2_binary64_13147` `cos-PI/3_binary64_13146` `cos-PI/4_binary64_13145` `cos-PI/6_binary64_13144` `sin-+PI/2_binary64_13143` `sin-+PI_binary64_13142` `sin-PI_binary64_13141` `sin-PI/2_binary64_13140` `sin-PI/3_binary64_13139` `sin-PI/4_binary64_13138` `sin-PI/6_binary64_13137` `sub-1-sin_binary64_13136` `sub-1-cos_binary64_13135` `-1-add-sin_binary64_13134` `-1-add-cos_binary64_13133` `1-sub-sin_binary64_13132` `1-sub-cos_binary64_13131` `cos-sin-sum_binary64_13130` `log-E_binary64_13126` `pow-base-0_binary64_13120` `unpow1/3_binary64_13103` `unpow2_binary64_13101` `unpow1/2_binary64_13100` `exp-to-pow_binary64_13098` `unpow0_binary64_13095` `unpow1_binary64_13094` `unpow-1_binary64_13093` `exp-lft-cube_binary64_13092` `exp-lft-sqr_binary64_13091` `exp-cbrt_binary64_13090` `exp-sqrt_binary64_13089` `div-exp_binary64_13087` `rec-exp_binary64_13086` `e-exp-1_binary64_13081` `exp-0_binary64_13078` `rem-exp-log_binary64_13076` `rem-3cbrt-rft_binary64_13062` `rem-cbrt-cube_binary64_13060` `rem-cube-cbrt_binary64_13059` `sqr-abs_binary64_13051` `sub0-neg_binary64_13023` `--rgt-identity_binary64_13022` `+-lft-identity_binary64_13020` `mul0-rgt_binary64_13019` `mul0-lft_binary64_13018` `div0_binary64_13017` `*-inverses_binary64_13016` `+-inverses_binary64_13015` `lft-mult-inverse_binary64_13014` `rgt-mult-inverse_binary64_13013` `remove-double-div_binary64_13012` `difference-of-sqr--1_binary64_13007` `difference-of-sqr-1_binary64_13006` `distribute-neg-out_binary64_12998` `count-2_binary64_12984`

Counts

107 → 291

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	157	1463
1	429	1361
2	1286	1361
3	4476	1361

prune208.0ms (1.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	288	3	291
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	288	7	295

Error

Counts

295 → 7

Compiler

Compiled 4528 to 576 computations (87.3% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (/.f64 z (/.f64 t y)))
0.0b	(-.f64 (+.f64 x (/.f64 z (/.f64 t y))) (/.f64 x (/.f64 t y)))
5.4b	(/.f64 x (/.f64 t y))
6.2b	(/.f64 z (/.f64 t y))

rewrite294.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

219×	`times-frac_binary64_13042`
132×	`add-sqr-sqrt_binary64_13058`
130×	`*-un-lft-identity_binary64_13036`
123×	`add-cube-cbrt_binary64_13071`
44×	`cancel-sign-sub-inv_binary64_13002`
26×	`associate-/r*_binary64_12980`
14×	`add-exp-log_binary64_13074` `add-cbrt-cube_binary64_13072` `div-inv_binary64_13033`
11×	`add-log-exp_binary64_13075`
6×	`div-exp_binary64_13087` `cbrt-undiv_binary64_13070` `associate-/l*_binary64_12981`
4×	`pow1_binary64_13097`
3×	`associate-/r/_binary64_12982` `difference-of-squares_binary64_13005`
2×	`frac-2neg_binary64_13047` `clear-num_binary64_13035` `sum-log_binary64_13127` `diff-log_binary64_13128` `flip3-+_binary64_13039` `frac-sub_binary64_13045` `flip-+_binary64_13010` `distribute-lft-out--_binary64_12988` `distribute-lft-out_binary64_12987`
1×	`flip3--_binary64_13040` `sub-neg_binary64_13029` `flip--_binary64_13011` `associate--l+_binary64_12973` `+-commutative_binary64_12966`

Counts

4 → 216

Calls

4 calls:

37.0ms	(-.f64 (+.f64 x (/.f64 z (/.f64 t y))) (/.f64 x (/.f64 t y)))
14.0ms	(+.f64 x (/.f64 z (/.f64 t y)))
6.0ms	(/.f64 z (/.f64 t y))
6.0ms	(/.f64 x (/.f64 t y))

Compiler

Compiled 5084 to 1076 computations (78.8% saved)

series977.0ms (7.5%)

Error

Counts

4 → 66

Calls

4 calls:

426.0ms	(-.f64 (+.f64 x (/.f64 z (/.f64 t y))) (/.f64 x (/.f64 t y)))
238.0ms	(+.f64 x (/.f64 z (/.f64 t y)))
145.0ms	(/.f64 x (/.f64 t y))
134.0ms	(/.f64 z (/.f64 t y))

Compiler

Compiled 1994 to 1057 computations (47% saved)

simplify608.0ms (4.7%)

Algorithm

1×	egg-herbie

Rules

337×	`div-sub_binary64_13041`
332×	`associate-*l/_binary64_12979`
294×	`*-commutative_binary64_12967`
281×	`associate-/l*_binary64_12981`
278×	`associate-/r/_binary64_12982`
248×	`associate-/l/_binary64_12983`
244×	`associate-*r/_binary64_12978`
196×	`associate-r_binary64_12976`
187×	`neg-sub0_binary64_13031`
157×	`associate-l_binary64_12977`
152×	`neg-mul-1_binary64_13032`
88×	`distribute-rgt-neg-in_binary64_12994`
85×	`times-frac_binary64_13042`
82×	`distribute-lft-neg-out_binary64_12995`
70×	`sub-neg_binary64_13029`
69×	`distribute-neg-frac_binary64_13000`
63×	`associate-/r*_binary64_12980`
47×	`exp-prod_binary64_13088`
45×	`cancel-sign-sub-inv_binary64_13002`
41×	`distribute-rgt-in_binary64_12986`
39×	`distribute-lft-neg-in_binary64_12993`
38×	`+-commutative_binary64_12966`
37×	`distribute-rgt-neg-out_binary64_12996` `distribute-lft-in_binary64_12985`
33×	`log-div_binary64_13123`
32×	`cube-div_binary64_13065`
28×	`log-prod_binary64_13122`
27×	`cube-prod_binary64_13064`
21×	`div-exp_binary64_13087`
17×	`prod-exp_binary64_13085`
13×	`associate-+l+_binary64_12969`
11×	`/-rgt-identity_binary64_13027`
10×	`unpow3_binary64_13102` `exp-sum_binary64_13082` `sqr-pow_binary64_13008`
9×	`associate-+r-_binary64_12970`
8×	`cube-mult_binary64_13066`
7×	`cube-unmult_binary64_13073`
6×	`exp-diff_binary64_13084` `associate--l+_binary64_12973` `associate-+r+_binary64_12968`
5×	`unswap-sqr_binary64_13004` `swap-sqr_binary64_13003`
4×	`rec-exp_binary64_13086` `pow-sqr_binary64_13009` `distribute-neg-in_binary64_12997` `distribute-rgt-out--_binary64_12990`
3×	`rem-square-sqrt_binary64_13048` `mul-1-neg_binary64_13028` `difference-of-squares_binary64_13005`
2×	`rem-3cbrt-lft_binary64_13061` `*-rgt-identity_binary64_13026` `remove-double-div_binary64_13012` `distribute-rgt-out_binary64_12989` `associate--r-_binary64_12975` `associate--r+_binary64_12972`
1×	`log-pow_binary64_13125` `log-rec_binary64_13124` `pow-plus_binary64_13099` `1-exp_binary64_13080` `rem-log-exp_binary64_13077` `rem-sqrt-square_binary64_13049` `*-lft-identity_binary64_13025` `associate-+l-_binary64_12971`
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_13299` `erf-erfc_binary64_13298` `erf-odd_binary64_13297` `if-if-and-not_binary64_13296` `if-if-and_binary64_13295` `if-if-or-not_binary64_13294` `if-if-or_binary64_13293` `if-not_binary64_13292` `if-same_binary64_13291` `if-false_binary64_13290` `if-true_binary64_13289` `not-gte_binary64_13288` `not-lte_binary64_13287` `not-gt_binary64_13286` `not-lt_binary64_13285` `gte-same_binary64_13284` `lte-same_binary64_13283` `gt-same_binary64_13282` `lt-same_binary64_13281` `sinh---cosh_binary64_13228` `sinh-+-cosh_binary64_13227` `sinh-cosh_binary64_13226` `tanh-def-c_binary64_13225` `tanh-def-b_binary64_13224` `tanh-def-a_binary64_13223` `cosh-def_binary64_13222` `sinh-def_binary64_13221` `tan-neg_binary64_13168` `cos-neg_binary64_13167` `sin-neg_binary64_13166` `tan-0_binary64_13165` `cos-0_binary64_13164` `sin-0_binary64_13163` `hang-m-tan_binary64_13162` `hang-p-tan_binary64_13161` `hang-m0-tan_binary64_13160` `hang-p0-tan_binary64_13159` `hang-0m-tan_binary64_13158` `hang-0p-tan_binary64_13157` `tan-+PI/2_binary64_13156` `tan-+PI_binary64_13155` `tan-PI_binary64_13154` `tan-PI/3_binary64_13153` `tan-PI/4_binary64_13152` `tan-PI/6_binary64_13151` `cos-+PI/2_binary64_13150` `cos-+PI_binary64_13149` `cos-PI_binary64_13148` `cos-PI/2_binary64_13147` `cos-PI/3_binary64_13146` `cos-PI/4_binary64_13145` `cos-PI/6_binary64_13144` `sin-+PI/2_binary64_13143` `sin-+PI_binary64_13142` `sin-PI_binary64_13141` `sin-PI/2_binary64_13140` `sin-PI/3_binary64_13139` `sin-PI/4_binary64_13138` `sin-PI/6_binary64_13137` `sub-1-sin_binary64_13136` `sub-1-cos_binary64_13135` `-1-add-sin_binary64_13134` `-1-add-cos_binary64_13133` `1-sub-sin_binary64_13132` `1-sub-cos_binary64_13131` `cos-sin-sum_binary64_13130` `log-E_binary64_13126` `pow-base-0_binary64_13120` `unpow1/3_binary64_13103` `unpow2_binary64_13101` `unpow1/2_binary64_13100` `exp-to-pow_binary64_13098` `pow-base-1_binary64_13096` `unpow0_binary64_13095` `unpow1_binary64_13094` `unpow-1_binary64_13093` `exp-lft-cube_binary64_13092` `exp-lft-sqr_binary64_13091` `exp-cbrt_binary64_13090` `exp-sqrt_binary64_13089` `exp-neg_binary64_13083` `e-exp-1_binary64_13081` `exp-1-e_binary64_13079` `exp-0_binary64_13078` `rem-exp-log_binary64_13076` `cube-neg_binary64_13063` `rem-3cbrt-rft_binary64_13062` `rem-cbrt-cube_binary64_13060` `rem-cube-cbrt_binary64_13059` `sqr-abs_binary64_13051` `sqr-neg_binary64_13050` `unsub-neg_binary64_13030` `remove-double-neg_binary64_13024` `sub0-neg_binary64_13023` `--rgt-identity_binary64_13022` `+-rgt-identity_binary64_13021` `+-lft-identity_binary64_13020` `mul0-rgt_binary64_13019` `mul0-lft_binary64_13018` `div0_binary64_13017` `*-inverses_binary64_13016` `+-inverses_binary64_13015` `lft-mult-inverse_binary64_13014` `rgt-mult-inverse_binary64_13013` `difference-of-sqr--1_binary64_13007` `difference-of-sqr-1_binary64_13006` `cancel-sign-sub_binary64_13001` `distribute-frac-neg_binary64_12999` `distribute-neg-out_binary64_12998` `distribute-rgt1-in_binary64_12992` `distribute-lft1-in_binary64_12991` `distribute-lft-out--_binary64_12988` `distribute-lft-out_binary64_12987` `count-2_binary64_12984` `associate--l-_binary64_12974`

Counts

282 → 822

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	403	4983
1	1113	4917
2	4251	4437

prune752.0ms (5.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	821	1	822
Fresh	1	4	5
Picked	1	0	1
Done	0	1	1
Total	823	6	829

Error

Counts

829 → 6

Compiler

Compiled 19181 to 2441 computations (87.3% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
1.2b	(*.f64 (-.f64 z x) (/.f64 (cbrt.f64 y) t))
3.2b	(.f64 (/.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) 1) (*.f64 (-.f64 z x) (/.f64 (cbrt.f64 y) t)))

rewrite185.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

66×	`add-exp-log_binary64_13074`
35×	`add-cbrt-cube_binary64_13072`
33×	`prod-exp_binary64_13085`
32×	`add-sqr-sqrt_binary64_13058`
24×	`*-un-lft-identity_binary64_13036`
23×	`times-frac_binary64_13042` `associate-r_binary64_12976`
22×	`add-cube-cbrt_binary64_13071`
20×	`cbrt-unprod_binary64_13069`
18×	`div-exp_binary64_13087`
16×	`cbrt-prod_binary64_13067`
12×	`associate-l_binary64_12977`
11×	`pow1_binary64_13097` `frac-times_binary64_13046`
10×	`cbrt-undiv_binary64_13070`
8×	`associate-*r/_binary64_12978`
7×	`associate-*l/_binary64_12979`
6×	`1-exp_binary64_13080` `flip3--_binary64_13040` `flip--_binary64_13011`
4×	`pow-prod-down_binary64_13107` `add-log-exp_binary64_13075`
3×	`unswap-sqr_binary64_13004`
2×	`div-inv_binary64_13033` `*-commutative_binary64_12967` `pow1/3_binary64_13118`
1×	`difference-of-squares_binary64_13005` `distribute-lft-out--_binary64_12988`

Counts

4 → 123

Calls

4 calls:

16.0ms	(.f64 (/.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) 1) (*.f64 (-.f64 z x) (/.f64 (cbrt.f64 y) t)))
13.0ms	(*.f64 (-.f64 z x) (/.f64 (cbrt.f64 y) t))
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

Compiler

Compiled 3292 to 939 computations (71.5% saved)

series1.3s (10.1%)

Error

Counts

4 → 42

Calls

4 calls:

737.0ms	(*.f64 (-.f64 z x) (/.f64 (cbrt.f64 y) t))
324.0ms	(.f64 (/.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) 1) (*.f64 (-.f64 z x) (/.f64 (cbrt.f64 y) t)))
112.0ms	(cbrt.f64 y)
104.0ms	(cbrt.f64 y)

Compiler

Compiled 1956 to 1288 computations (34.2% saved)

simplify1.5s (11.3%)

Algorithm

1×	egg-herbie

Rules

524×	`associate-/r*_binary64_12980`
388×	`associate-/r/_binary64_12982`
297×	`associate-l_binary64_12977`
259×	`associate-r_binary64_12976`
170×	`associate-/l*_binary64_12981`
155×	`associate-*l/_binary64_12979`
143×	`times-frac_binary64_13042`
122×	`+-commutative_binary64_12966`
114×	`*-commutative_binary64_12967`
110×	`associate-*r/_binary64_12978`
91×	`unswap-sqr_binary64_13004` `distribute-rgt-neg-in_binary64_12994`
88×	`exp-prod_binary64_13088` `cancel-sign-sub-inv_binary64_13002`
79×	`div-sub_binary64_13041`
78×	`log-prod_binary64_13122`
72×	`distribute-lft-neg-in_binary64_12993`
66×	`distribute-rgt-in_binary64_12986` `distribute-lft-in_binary64_12985`
58×	`sub-neg_binary64_13029` `distribute-lft-neg-out_binary64_12995`
53×	`distribute-rgt-neg-out_binary64_12996`
52×	`log-div_binary64_13123`
50×	`associate-/l/_binary64_12983`
47×	`*-lft-identity_binary64_13025`
46×	`sqr-pow_binary64_13008` `swap-sqr_binary64_13003`
43×	`associate-+l-_binary64_12971` `associate-+l+_binary64_12969`
40×	`*-rgt-identity_binary64_13026`
37×	`distribute-neg-frac_binary64_13000`
35×	`associate-+r+_binary64_12968`
32×	`cube-prod_binary64_13064`
30×	`/-rgt-identity_binary64_13027`
29×	`neg-sub0_binary64_13031`
27×	`cube-div_binary64_13065`
26×	`associate--r+_binary64_12972` `associate-+r-_binary64_12970`
22×	`associate--l+_binary64_12973`
21×	`neg-mul-1_binary64_13032` `associate--l-_binary64_12974`
20×	`exp-sum_binary64_13082` `distribute-neg-in_binary64_12997`
17×	`pow-sqr_binary64_13009` `distribute-rgt-out_binary64_12989`
16×	`associate--r-_binary64_12975`
14×	`distribute-rgt-out--_binary64_12990`
13×	`log-pow_binary64_13125` `mul-1-neg_binary64_13028`
10×	`cube-unmult_binary64_13073`
6×	`log-rec_binary64_13124` `pow-plus_binary64_13099` `exp-diff_binary64_13084` `rem-sqrt-square_binary64_13049` `distribute-lft-out--_binary64_12988`
4×	`sub0-neg_binary64_13023`
3×	`unpow3_binary64_13102` `cube-mult_binary64_13066` `difference-of-squares_binary64_13005` `count-2_binary64_12984`
2×	`unpow1/3_binary64_13103` `remove-double-neg_binary64_13024` `distribute-frac-neg_binary64_12999`
1×	`div-exp_binary64_13087` `rec-exp_binary64_13086` `prod-exp_binary64_13085` `1-exp_binary64_13080` `exp-1-e_binary64_13079` `rem-log-exp_binary64_13077` `rem-3cbrt-lft_binary64_13061` `rem-cbrt-cube_binary64_13060` `rem-cube-cbrt_binary64_13059` `--rgt-identity_binary64_13022` `remove-double-div_binary64_13012` `distribute-rgt1-in_binary64_12992` `distribute-lft-out_binary64_12987`
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_13299` `erf-erfc_binary64_13298` `erf-odd_binary64_13297` `if-if-and-not_binary64_13296` `if-if-and_binary64_13295` `if-if-or-not_binary64_13294` `if-if-or_binary64_13293` `if-not_binary64_13292` `if-same_binary64_13291` `if-false_binary64_13290` `if-true_binary64_13289` `not-gte_binary64_13288` `not-lte_binary64_13287` `not-gt_binary64_13286` `not-lt_binary64_13285` `gte-same_binary64_13284` `lte-same_binary64_13283` `gt-same_binary64_13282` `lt-same_binary64_13281` `sinh---cosh_binary64_13228` `sinh-+-cosh_binary64_13227` `sinh-cosh_binary64_13226` `tanh-def-c_binary64_13225` `tanh-def-b_binary64_13224` `tanh-def-a_binary64_13223` `cosh-def_binary64_13222` `sinh-def_binary64_13221` `tan-neg_binary64_13168` `cos-neg_binary64_13167` `sin-neg_binary64_13166` `tan-0_binary64_13165` `cos-0_binary64_13164` `sin-0_binary64_13163` `hang-m-tan_binary64_13162` `hang-p-tan_binary64_13161` `hang-m0-tan_binary64_13160` `hang-p0-tan_binary64_13159` `hang-0m-tan_binary64_13158` `hang-0p-tan_binary64_13157` `tan-+PI/2_binary64_13156` `tan-+PI_binary64_13155` `tan-PI_binary64_13154` `tan-PI/3_binary64_13153` `tan-PI/4_binary64_13152` `tan-PI/6_binary64_13151` `cos-+PI/2_binary64_13150` `cos-+PI_binary64_13149` `cos-PI_binary64_13148` `cos-PI/2_binary64_13147` `cos-PI/3_binary64_13146` `cos-PI/4_binary64_13145` `cos-PI/6_binary64_13144` `sin-+PI/2_binary64_13143` `sin-+PI_binary64_13142` `sin-PI_binary64_13141` `sin-PI/2_binary64_13140` `sin-PI/3_binary64_13139` `sin-PI/4_binary64_13138` `sin-PI/6_binary64_13137` `sub-1-sin_binary64_13136` `sub-1-cos_binary64_13135` `-1-add-sin_binary64_13134` `-1-add-cos_binary64_13133` `1-sub-sin_binary64_13132` `1-sub-cos_binary64_13131` `cos-sin-sum_binary64_13130` `log-E_binary64_13126` `pow-base-0_binary64_13120` `unpow2_binary64_13101` `unpow1/2_binary64_13100` `exp-to-pow_binary64_13098` `pow-base-1_binary64_13096` `unpow0_binary64_13095` `unpow1_binary64_13094` `unpow-1_binary64_13093` `exp-lft-cube_binary64_13092` `exp-lft-sqr_binary64_13091` `exp-cbrt_binary64_13090` `exp-sqrt_binary64_13089` `exp-neg_binary64_13083` `e-exp-1_binary64_13081` `exp-0_binary64_13078` `rem-exp-log_binary64_13076` `cube-neg_binary64_13063` `rem-3cbrt-rft_binary64_13062` `sqr-abs_binary64_13051` `sqr-neg_binary64_13050` `rem-square-sqrt_binary64_13048` `unsub-neg_binary64_13030` `+-rgt-identity_binary64_13021` `+-lft-identity_binary64_13020` `mul0-rgt_binary64_13019` `mul0-lft_binary64_13018` `div0_binary64_13017` `*-inverses_binary64_13016` `+-inverses_binary64_13015` `lft-mult-inverse_binary64_13014` `rgt-mult-inverse_binary64_13013` `difference-of-sqr--1_binary64_13007` `difference-of-sqr-1_binary64_13006` `cancel-sign-sub_binary64_13001` `distribute-neg-out_binary64_12998` `distribute-lft1-in_binary64_12991`

Counts

165 → 257

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	240	3028
1	570	2104
2	2676	2049
3	4996	2049

prune240.0ms (1.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	257	0	257
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	257	6	263

Error

Counts

263 → 6

Compiler

Compiled 5246 to 1262 computations (75.9% saved)

localize6.0ms (0%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 t (-.f64 z x))
0.0b	(+.f64 x (/.f64 y (/.f64 t (-.f64 z x))))
4.7b	(/.f64 y (/.f64 t (-.f64 z x)))

rewrite189.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

138×	`times-frac_binary64_13042`
105×	`*-un-lft-identity_binary64_13036`
103×	`add-sqr-sqrt_binary64_13058`
71×	`add-cube-cbrt_binary64_13071`
26×	`associate-/r*_binary64_12980`
16×	`difference-of-squares_binary64_13005` `distribute-lft-out--_binary64_12988`
11×	`associate-/r/_binary64_12982`
10×	`add-exp-log_binary64_13074` `add-cbrt-cube_binary64_13072`
6×	`div-inv_binary64_13033` `associate-/l*_binary64_12981`
5×	`add-log-exp_binary64_13075` `flip3--_binary64_13040` `flip--_binary64_13011`
4×	`div-exp_binary64_13087` `cbrt-undiv_binary64_13070`
3×	`pow1_binary64_13097`
2×	`frac-2neg_binary64_13047` `clear-num_binary64_13035`
1×	`sum-log_binary64_13127` `flip3-+_binary64_13039` `flip-+_binary64_13010` `distribute-lft-out_binary64_12987` `+-commutative_binary64_12966`

Counts

3 → 151

Calls

3 calls:

22.0ms	(+.f64 x (/.f64 y (/.f64 t (-.f64 z x))))
12.0ms	(/.f64 y (/.f64 t (-.f64 z x)))
5.0ms	(/.f64 t (-.f64 z x))

Compiler

Compiled 2965 to 744 computations (74.9% saved)

series886.0ms (6.8%)

Error

Counts

3 → 57

Calls

3 calls:

417.0ms	(+.f64 x (/.f64 y (/.f64 t (-.f64 z x))))
299.0ms	(/.f64 y (/.f64 t (-.f64 z x)))
139.0ms	(/.f64 t (-.f64 z x))

Compiler

Compiled 1634 to 993 computations (39.2% saved)

simplify435.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

483×	`*-commutative_binary64_12967`
417×	`distribute-rgt-in_binary64_12986`
406×	`distribute-lft-in_binary64_12985`
365×	`associate-/r*_binary64_12980`
197×	`associate-/r/_binary64_12982`
190×	`div-sub_binary64_13041`
186×	`associate-/l/_binary64_12983`
169×	`associate-/l*_binary64_12981`
162×	`unsub-neg_binary64_13030`
129×	`associate-*l/_binary64_12979`
126×	`neg-sub0_binary64_13031`
120×	`neg-mul-1_binary64_13032`
68×	`cancel-sign-sub-inv_binary64_13002`
61×	`associate-*r/_binary64_12978`
58×	`exp-prod_binary64_13088` `sub-neg_binary64_13029`
54×	`distribute-rgt-neg-in_binary64_12994`
52×	`cube-prod_binary64_13064` `times-frac_binary64_13042`
49×	`distribute-lft-neg-out_binary64_12995`
47×	`exp-sum_binary64_13082` `*-rgt-identity_binary64_13026`
45×	`+-commutative_binary64_12966`
44×	`log-prod_binary64_13122` `associate-r_binary64_12976`
42×	`distribute-lft-neg-in_binary64_12993`
41×	`associate-l_binary64_12977`
40×	`/-rgt-identity_binary64_13027` `distribute-rgt-neg-out_binary64_12996`
39×	`distribute-neg-frac_binary64_13000`
30×	`sqr-pow_binary64_13008`
28×	`associate-+l-_binary64_12971`
25×	`log-div_binary64_13123` `associate-+r-_binary64_12970` `associate-+l+_binary64_12969`
24×	`exp-diff_binary64_13084` `cube-div_binary64_13065`
23×	`distribute-rgt-out_binary64_12989`
22×	`distribute-neg-in_binary64_12997`
19×	`associate--r+_binary64_12972`
17×	`prod-exp_binary64_13085` `distribute-rgt-out--_binary64_12990` `associate-+r+_binary64_12968`
16×	`div-exp_binary64_13087` `*-lft-identity_binary64_13025`
13×	`pow-plus_binary64_13099` `pow-sqr_binary64_13009` `unswap-sqr_binary64_13004`
11×	`unpow3_binary64_13102`
9×	`cube-mult_binary64_13066` `difference-of-squares_binary64_13005`
8×	`swap-sqr_binary64_13003` `associate--l+_binary64_12973`
7×	`mul-1-neg_binary64_13028` `associate--r-_binary64_12975`
6×	`cube-neg_binary64_13063` `sqr-neg_binary64_13050`
4×	`rec-exp_binary64_13086` `cube-unmult_binary64_13073` `remove-double-div_binary64_13012` `associate--l-_binary64_12974`
3×	`log-pow_binary64_13125` `exp-neg_binary64_13083`
2×	`log-rec_binary64_13124` `unpow2_binary64_13101` `unpow1_binary64_13094` `rem-sqrt-square_binary64_13049` `remove-double-neg_binary64_13024` `div0_binary64_13017` `distribute-rgt1-in_binary64_12992` `distribute-lft-out_binary64_12987`
1×	`pow-base-1_binary64_13096` `1-exp_binary64_13080` `rem-log-exp_binary64_13077` `*-inverses_binary64_13016` `distribute-lft-out--_binary64_12988` `count-2_binary64_12984`
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_13299` `erf-erfc_binary64_13298` `erf-odd_binary64_13297` `if-if-and-not_binary64_13296` `if-if-and_binary64_13295` `if-if-or-not_binary64_13294` `if-if-or_binary64_13293` `if-not_binary64_13292` `if-same_binary64_13291` `if-false_binary64_13290` `if-true_binary64_13289` `not-gte_binary64_13288` `not-lte_binary64_13287` `not-gt_binary64_13286` `not-lt_binary64_13285` `gte-same_binary64_13284` `lte-same_binary64_13283` `gt-same_binary64_13282` `lt-same_binary64_13281` `sinh---cosh_binary64_13228` `sinh-+-cosh_binary64_13227` `sinh-cosh_binary64_13226` `tanh-def-c_binary64_13225` `tanh-def-b_binary64_13224` `tanh-def-a_binary64_13223` `cosh-def_binary64_13222` `sinh-def_binary64_13221` `tan-neg_binary64_13168` `cos-neg_binary64_13167` `sin-neg_binary64_13166` `tan-0_binary64_13165` `cos-0_binary64_13164` `sin-0_binary64_13163` `hang-m-tan_binary64_13162` `hang-p-tan_binary64_13161` `hang-m0-tan_binary64_13160` `hang-p0-tan_binary64_13159` `hang-0m-tan_binary64_13158` `hang-0p-tan_binary64_13157` `tan-+PI/2_binary64_13156` `tan-+PI_binary64_13155` `tan-PI_binary64_13154` `tan-PI/3_binary64_13153` `tan-PI/4_binary64_13152` `tan-PI/6_binary64_13151` `cos-+PI/2_binary64_13150` `cos-+PI_binary64_13149` `cos-PI_binary64_13148` `cos-PI/2_binary64_13147` `cos-PI/3_binary64_13146` `cos-PI/4_binary64_13145` `cos-PI/6_binary64_13144` `sin-+PI/2_binary64_13143` `sin-+PI_binary64_13142` `sin-PI_binary64_13141` `sin-PI/2_binary64_13140` `sin-PI/3_binary64_13139` `sin-PI/4_binary64_13138` `sin-PI/6_binary64_13137` `sub-1-sin_binary64_13136` `sub-1-cos_binary64_13135` `-1-add-sin_binary64_13134` `-1-add-cos_binary64_13133` `1-sub-sin_binary64_13132` `1-sub-cos_binary64_13131` `cos-sin-sum_binary64_13130` `log-E_binary64_13126` `pow-base-0_binary64_13120` `unpow1/3_binary64_13103` `unpow1/2_binary64_13100` `exp-to-pow_binary64_13098` `unpow0_binary64_13095` `unpow-1_binary64_13093` `exp-lft-cube_binary64_13092` `exp-lft-sqr_binary64_13091` `exp-cbrt_binary64_13090` `exp-sqrt_binary64_13089` `e-exp-1_binary64_13081` `exp-1-e_binary64_13079` `exp-0_binary64_13078` `rem-exp-log_binary64_13076` `rem-3cbrt-rft_binary64_13062` `rem-3cbrt-lft_binary64_13061` `rem-cbrt-cube_binary64_13060` `rem-cube-cbrt_binary64_13059` `sqr-abs_binary64_13051` `rem-square-sqrt_binary64_13048` `sub0-neg_binary64_13023` `--rgt-identity_binary64_13022` `+-rgt-identity_binary64_13021` `+-lft-identity_binary64_13020` `mul0-rgt_binary64_13019` `mul0-lft_binary64_13018` `+-inverses_binary64_13015` `lft-mult-inverse_binary64_13014` `rgt-mult-inverse_binary64_13013` `difference-of-sqr--1_binary64_13007` `difference-of-sqr-1_binary64_13006` `cancel-sign-sub_binary64_13001` `distribute-frac-neg_binary64_12999` `distribute-neg-out_binary64_12998` `distribute-lft1-in_binary64_12991`

Counts

208 → 586

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	277	3778
1	624	3622
2	2241	3581
3	4286	3581

prune476.0ms (3.7%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	586	0	586
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	586	6	592

Error

Counts

592 → 6

Compiler

Compiled 11686 to 1795 computations (84.6% saved)

regimes574.0ms (4.4%)

Accuracy

Total 1.1b remaining (99.7%)

Threshold costs 0b (0%)

Compiler

Compiled 2601 to 2173 computations (16.5% saved)

bsearch2.0ms (0%)

Compiler: Compiled 9 to 8 computations (11.1% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

9×	`+-commutative_binary64_12966`
7×	`*-commutative_binary64_12967`
5×	`sub-neg_binary64_13029`
3×	`neg-mul-1_binary64_13032` `neg-sub0_binary64_13031`
2×	`cancel-sign-sub-inv_binary64_13002` `distribute-rgt-neg-in_binary64_12994`
1×	`distribute-lft-neg-out_binary64_12995` `distribute-lft-neg-in_binary64_12993`
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_13296` `if-if-and_binary64_13295` `if-if-or-not_binary64_13294` `if-if-or_binary64_13293` `if-not_binary64_13292` `if-same_binary64_13291` `if-false_binary64_13290` `if-true_binary64_13289` `tan-0_binary64_13165` `cos-0_binary64_13164` `sin-0_binary64_13163` `unpow1_binary64_13094` `e-exp-1_binary64_13081` `1-exp_binary64_13080` `exp-1-e_binary64_13079` `exp-0_binary64_13078` `sqr-abs_binary64_13051` `sqr-neg_binary64_13050` `unsub-neg_binary64_13030` `mul-1-neg_binary64_13028` `/-rgt-identity_binary64_13027` `-rgt-identity_binary64_13026` `-lft-identity_binary64_13025` `remove-double-neg_binary64_13024` `sub0-neg_binary64_13023` `--rgt-identity_binary64_13022` `+-rgt-identity_binary64_13021` `+-lft-identity_binary64_13020` `cancel-sign-sub_binary64_13001` `distribute-neg-frac_binary64_13000` `distribute-frac-neg_binary64_12999` `distribute-neg-out_binary64_12998` `distribute-neg-in_binary64_12997` `distribute-rgt-neg-out_binary64_12996`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	78
1	41	78
2	52	78
3	58	78
4	62	78
5	63	78

Proof

(if real (<= f64 (+ f64 h0 (/ f64 (* f64 h1 (- f64 h2 h0)) h3)) -3727600063252793757668731853640761620979000458538448956114320164500673085838664547709539105101807601107952394065421126160964162049118360985436358281014405306339228861660987568405739246066703776145277078535122717028634779268020951684019953009171126501114429532412642015326852835203320466197033869377536) (+ f64 h0 (/ f64 h1 (/ f64 h3 (- f64 h2 h0)))) (if real (<= f64 (+ f64 h0 (/ f64 (* f64 h1 (- f64 h2 h0)) h3)) 79930133658168798594556607337950798892963253058139799927385470210196792185801120592203408679574139281621869153411604205258417001995729385529437232349149865812820234714197355457154587027162056287832310123102138119217716577713700510586249769354472301445629288917602423133114990592) (+ f64 h0 (/ f64 (- f64 (* f64 h2 h1) (* f64 h0 h1)) h3)) (+ f64 h0 (=> (* f64 (/ f64 h1 h3) (- f64 h2 h0))))))
*-commutative_binary64_12967 =>
(if real (<= f64 (+ f64 h0 (/ f64 (* f64 h1 (- f64 h2 h0)) h3)) -3727600063252793757668731853640761620979000458538448956114320164500673085838664547709539105101807601107952394065421126160964162049118360985436358281014405306339228861660987568405739246066703776145277078535122717028634779268020951684019953009171126501114429532412642015326852835203320466197033869377536) (+ f64 h0 (/ f64 h1 (/ f64 h3 (- f64 h2 h0)))) (if real (<= f64 (+ f64 h0 (/ f64 (* f64 h1 (- f64 h2 h0)) h3)) 79930133658168798594556607337950798892963253058139799927385470210196792185801120592203408679574139281621869153411604205258417001995729385529437232349149865812820234714197355457154587027162056287832310123102138119217716577713700510586249769354472301445629288917602423133114990592) (+ f64 h0 (/ f64 (- f64 (=> (* f64 h2 h1)) (* f64 h0 h1)) h3)) (+ f64 h0 (* f64 (- f64 h2 h0) (/ f64 h1 h3)))))
*-commutative_binary64_12967 =>
(if real (<= f64 (+ f64 h0 (/ f64 (* f64 h1 (- f64 h2 h0)) h3)) -3727600063252793757668731853640761620979000458538448956114320164500673085838664547709539105101807601107952394065421126160964162049118360985436358281014405306339228861660987568405739246066703776145277078535122717028634779268020951684019953009171126501114429532412642015326852835203320466197033869377536) (+ f64 h0 (/ f64 h1 (/ f64 h3 (- f64 h2 h0)))) (if real (<= f64 (+ f64 h0 (/ f64 (* f64 h1 (- f64 h2 h0)) h3)) 79930133658168798594556607337950798892963253058139799927385470210196792185801120592203408679574139281621869153411604205258417001995729385529437232349149865812820234714197355457154587027162056287832310123102138119217716577713700510586249769354472301445629288917602423133114990592) (+ f64 h0 (/ f64 (- f64 (* f64 h1 h2) (* f64 h0 h1)) h3)) (+ f64 h0 (* f64 (- f64 h2 h0) (/ f64 h1 h3)))))

end0.0ms (0%)

sample1.3s (9.8%)

Algorithm

1×

intervals

Results

251.0ms	8000×	body	128	valid
68.0ms	2067×	body	128	invalid

Compiler

Compiled 592 to 473 computations (20.1% saved)

Details

analyze625.0ms (4.8%)

sample23.0ms (0.2%)

simplify1.4s (10.6%)

prune9.0ms (0.1%)

localize6.0ms (0%)

rewrite79.0ms (0.6%)

series742.0ms (5.7%)

simplify229.0ms (1.8%)

prune208.0ms (1.6%)

localize8.0ms (0.1%)

rewrite294.0ms (2.3%)

series977.0ms (7.5%)

simplify608.0ms (4.7%)

prune752.0ms (5.8%)

localize12.0ms (0.1%)

rewrite185.0ms (1.4%)

series1.3s (10.1%)

simplify1.5s (11.3%)

prune240.0ms (1.8%)

localize6.0ms (0%)

rewrite189.0ms (1.5%)

series886.0ms (6.8%)

simplify435.0ms (3.3%)

prune476.0ms (3.7%)

regimes574.0ms (4.4%)

bsearch2.0ms (0%)

simplify8.0ms (0.1%)

end0.0ms (0%)

sample1.3s (9.8%)

Profiling