Details

analyze973.0ms (8.1%)

Algorithm

1×	search
2×	egg-herbie

Rules

737×	`div-sub_binary64_18497`
456×	`distribute-neg-frac_binary64_18456`
352×	`neg-mul-1_binary64_18488`
328×	`sub-neg_binary64_18485`
299×	`distribute-rgt-in_binary64_18442`
297×	`distribute-rgt-neg-in_binary64_18450`
253×	`distribute-lft-in_binary64_18441`
240×	`associate-/l*_binary64_18437`
237×	`distribute-lft-neg-in_binary64_18449`
216×	`cancel-sign-sub-inv_binary64_18458`
190×	`cancel-sign-sub_binary64_18457`
173×	`distribute-rgt-neg-out_binary64_18452`
158×	`distribute-lft-neg-out_binary64_18451`
142×	`times-frac_binary64_18498`
117×	`associate-/r*_binary64_18436`
104×	`neg-sub0_binary64_18487`
90×	`associate--r+_binary64_18428`
87×	`associate-/l/_binary64_18439`
86×	`+-commutative_binary64_18422`
81×	`associate-+l-_binary64_18427`
78×	`unsub-neg_binary64_18486`
65×	`distribute-lft-out--_binary64_18444`
62×	`associate-l/_binary64_18435` `-commutative_binary64_18423`
58×	`associate-*r/_binary64_18434`
56×	`sub0-neg_binary64_18479`
53×	`distribute-neg-in_binary64_18453`
52×	`associate-/r/_binary64_18438`
51×	`associate--r-_binary64_18431`
49×	`associate-+r-_binary64_18426` `associate-+r+_binary64_18424`
44×	`distribute-lft-out_binary64_18443` `associate-r_binary64_18432`
43×	`distribute-frac-neg_binary64_18455`
42×	`associate--l+_binary64_18429`
41×	`associate-+l+_binary64_18425`
36×	`distribute-rgt-out--_binary64_18446`
35×	`associate--l-_binary64_18430`
34×	`associate-l_binary64_18433`
30×	`distribute-neg-out_binary64_18454`
26×	`remove-double-neg_binary64_18480`
22×	`+-rgt-identity_binary64_18477`
19×	`*-lft-identity_binary64_18481`
14×	`--rgt-identity_binary64_18478`
13×	`div0_binary64_18473` `distribute-rgt-out_binary64_18445`
8×	`mul0-rgt_binary64_18475` `mul0-lft_binary64_18474`
7×	`+-lft-identity_binary64_18476`
1×	`1-exp_binary64_18536`
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_18755` `erf-erfc_binary64_18754` `erf-odd_binary64_18753` `if-if-and-not_binary64_18752` `if-if-and_binary64_18751` `if-if-or-not_binary64_18750` `if-if-or_binary64_18749` `if-not_binary64_18748` `if-same_binary64_18747` `if-false_binary64_18746` `if-true_binary64_18745` `not-gte_binary64_18744` `not-lte_binary64_18743` `not-gt_binary64_18742` `not-lt_binary64_18741` `gte-same_binary64_18740` `lte-same_binary64_18739` `gt-same_binary64_18738` `lt-same_binary64_18737` `sinh---cosh_binary64_18684` `sinh-+-cosh_binary64_18683` `sinh-cosh_binary64_18682` `tanh-def-c_binary64_18681` `tanh-def-b_binary64_18680` `tanh-def-a_binary64_18679` `cosh-def_binary64_18678` `sinh-def_binary64_18677` `tan-neg_binary64_18624` `cos-neg_binary64_18623` `sin-neg_binary64_18622` `tan-0_binary64_18621` `cos-0_binary64_18620` `sin-0_binary64_18619` `hang-m-tan_binary64_18618` `hang-p-tan_binary64_18617` `hang-m0-tan_binary64_18616` `hang-p0-tan_binary64_18615` `hang-0m-tan_binary64_18614` `hang-0p-tan_binary64_18613` `tan-+PI/2_binary64_18612` `tan-+PI_binary64_18611` `tan-PI_binary64_18610` `tan-PI/3_binary64_18609` `tan-PI/4_binary64_18608` `tan-PI/6_binary64_18607` `cos-+PI/2_binary64_18606` `cos-+PI_binary64_18605` `cos-PI_binary64_18604` `cos-PI/2_binary64_18603` `cos-PI/3_binary64_18602` `cos-PI/4_binary64_18601` `cos-PI/6_binary64_18600` `sin-+PI/2_binary64_18599` `sin-+PI_binary64_18598` `sin-PI_binary64_18597` `sin-PI/2_binary64_18596` `sin-PI/3_binary64_18595` `sin-PI/4_binary64_18594` `sin-PI/6_binary64_18593` `sub-1-sin_binary64_18592` `sub-1-cos_binary64_18591` `-1-add-sin_binary64_18590` `-1-add-cos_binary64_18589` `1-sub-sin_binary64_18588` `1-sub-cos_binary64_18587` `cos-sin-sum_binary64_18586` `log-E_binary64_18582` `log-pow_binary64_18581` `log-rec_binary64_18580` `log-div_binary64_18579` `log-prod_binary64_18578` `pow-base-0_binary64_18576` `unpow1/3_binary64_18559` `unpow3_binary64_18558` `unpow2_binary64_18557` `unpow1/2_binary64_18556` `pow-plus_binary64_18555` `exp-to-pow_binary64_18554` `pow-base-1_binary64_18552` `unpow0_binary64_18551` `unpow1_binary64_18550` `unpow-1_binary64_18549` `exp-lft-cube_binary64_18548` `exp-lft-sqr_binary64_18547` `exp-cbrt_binary64_18546` `exp-sqrt_binary64_18545` `exp-prod_binary64_18544` `div-exp_binary64_18543` `rec-exp_binary64_18542` `prod-exp_binary64_18541` `exp-diff_binary64_18540` `exp-neg_binary64_18539` `exp-sum_binary64_18538` `e-exp-1_binary64_18537` `exp-1-e_binary64_18535` `exp-0_binary64_18534` `rem-log-exp_binary64_18533` `rem-exp-log_binary64_18532` `cube-unmult_binary64_18529` `cube-mult_binary64_18522` `cube-div_binary64_18521` `cube-prod_binary64_18520` `cube-neg_binary64_18519` `rem-3cbrt-rft_binary64_18518` `rem-3cbrt-lft_binary64_18517` `rem-cbrt-cube_binary64_18516` `rem-cube-cbrt_binary64_18515` `sqr-abs_binary64_18507` `sqr-neg_binary64_18506` `rem-sqrt-square_binary64_18505` `rem-square-sqrt_binary64_18504` `mul-1-neg_binary64_18484` `/-rgt-identity_binary64_18483` `-rgt-identity_binary64_18482` `-inverses_binary64_18472` `+-inverses_binary64_18471` `lft-mult-inverse_binary64_18470` `rgt-mult-inverse_binary64_18469` `remove-double-div_binary64_18468` `pow-sqr_binary64_18465` `sqr-pow_binary64_18464` `difference-of-sqr--1_binary64_18463` `difference-of-sqr-1_binary64_18462` `difference-of-squares_binary64_18461` `unswap-sqr_binary64_18460` `swap-sqr_binary64_18459` `distribute-rgt1-in_binary64_18448` `distribute-lft1-in_binary64_18447` `count-2_binary64_18440`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	154
1	112	154
2	280	154
3	535	154
4	1129	133
5	2410	112
6	4265	112
7	4937	112
0	4	4
1	4	4

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
15.6%	84.2%	0.2%	8
15.6%	84.2%	0.2%	9
20.3%	79.5%	0.2%	10
25.3%	74.5%	0.2%	11
34.2%	65.6%	0.2%	12
37.4%	62%	0.6%	13
41.7%	57.7%	0.6%	14

Compiler

Compiled 16 to 14 computations (12.5% saved)

sample30.0ms (0.3%)

Algorithm

1×

intervals

Results

11.0ms	256×	body	128	valid
4.0ms	98×	body	128	invalid

Compiler

Compiled 31 to 31 computations (0% saved)

simplify377.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

1775×	`cancel-sign-sub-inv_binary64_18458`
1670×	`distribute-rgt-in_binary64_18442`
1374×	`div-sub_binary64_18497`
1020×	`distribute-lft-in_binary64_18441`
922×	`associate-/r/_binary64_18438`
629×	`associate-/l/_binary64_18439`
562×	`distribute-rgt-neg-in_binary64_18450`
560×	`distribute-neg-frac_binary64_18456`
554×	`sub-neg_binary64_18485`
522×	`neg-mul-1_binary64_18488`
480×	`distribute-rgt-neg-out_binary64_18452`
420×	`distribute-lft-neg-in_binary64_18449`
403×	`neg-sub0_binary64_18487`
347×	`distribute-lft-neg-out_binary64_18451`
345×	`*-commutative_binary64_18423`
297×	`unsub-neg_binary64_18486` `distribute-frac-neg_binary64_18455`
240×	`associate-/l*_binary64_18437`
213×	`associate-*r/_binary64_18434`
208×	`remove-double-neg_binary64_18480`
196×	`times-frac_binary64_18498`
192×	`associate-/r*_binary64_18436`
180×	`distribute-rgt-out--_binary64_18446`
174×	`distribute-rgt-out_binary64_18445`
170×	`+-rgt-identity_binary64_18477`
166×	`distribute-neg-in_binary64_18453`
163×	`associate-*l/_binary64_18435`
159×	`associate-r_binary64_18432`
148×	`associate--r+_binary64_18428`
132×	`mul0-lft_binary64_18474`
128×	`mul0-rgt_binary64_18475` `cancel-sign-sub_binary64_18457`
109×	`+-lft-identity_binary64_18476`
107×	`*-rgt-identity_binary64_18482`
105×	`+-commutative_binary64_18422`
81×	`div0_binary64_18473`
38×	`associate-l_binary64_18433`
37×	`associate--r-_binary64_18431`
33×	`associate-+l-_binary64_18427`
32×	`distribute-neg-out_binary64_18454`
28×	`associate--l+_binary64_18429`
25×	`/-rgt-identity_binary64_18483` `*-lft-identity_binary64_18481`
24×	`mul-1-neg_binary64_18484` `sub0-neg_binary64_18479`
14×	`--rgt-identity_binary64_18478`
13×	`associate--l-_binary64_18430`
12×	`distribute-lft-out--_binary64_18444`
9×	`associate-+r-_binary64_18426`
8×	`associate-+l+_binary64_18425`
7×	`associate-+r+_binary64_18424`
1×	`1-exp_binary64_18536`
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_18755` `erf-erfc_binary64_18754` `erf-odd_binary64_18753` `if-if-and-not_binary64_18752` `if-if-and_binary64_18751` `if-if-or-not_binary64_18750` `if-if-or_binary64_18749` `if-not_binary64_18748` `if-same_binary64_18747` `if-false_binary64_18746` `if-true_binary64_18745` `not-gte_binary64_18744` `not-lte_binary64_18743` `not-gt_binary64_18742` `not-lt_binary64_18741` `gte-same_binary64_18740` `lte-same_binary64_18739` `gt-same_binary64_18738` `lt-same_binary64_18737` `sinh---cosh_binary64_18684` `sinh-+-cosh_binary64_18683` `sinh-cosh_binary64_18682` `tanh-def-c_binary64_18681` `tanh-def-b_binary64_18680` `tanh-def-a_binary64_18679` `cosh-def_binary64_18678` `sinh-def_binary64_18677` `tan-neg_binary64_18624` `cos-neg_binary64_18623` `sin-neg_binary64_18622` `tan-0_binary64_18621` `cos-0_binary64_18620` `sin-0_binary64_18619` `hang-m-tan_binary64_18618` `hang-p-tan_binary64_18617` `hang-m0-tan_binary64_18616` `hang-p0-tan_binary64_18615` `hang-0m-tan_binary64_18614` `hang-0p-tan_binary64_18613` `tan-+PI/2_binary64_18612` `tan-+PI_binary64_18611` `tan-PI_binary64_18610` `tan-PI/3_binary64_18609` `tan-PI/4_binary64_18608` `tan-PI/6_binary64_18607` `cos-+PI/2_binary64_18606` `cos-+PI_binary64_18605` `cos-PI_binary64_18604` `cos-PI/2_binary64_18603` `cos-PI/3_binary64_18602` `cos-PI/4_binary64_18601` `cos-PI/6_binary64_18600` `sin-+PI/2_binary64_18599` `sin-+PI_binary64_18598` `sin-PI_binary64_18597` `sin-PI/2_binary64_18596` `sin-PI/3_binary64_18595` `sin-PI/4_binary64_18594` `sin-PI/6_binary64_18593` `sub-1-sin_binary64_18592` `sub-1-cos_binary64_18591` `-1-add-sin_binary64_18590` `-1-add-cos_binary64_18589` `1-sub-sin_binary64_18588` `1-sub-cos_binary64_18587` `cos-sin-sum_binary64_18586` `log-E_binary64_18582` `log-pow_binary64_18581` `log-rec_binary64_18580` `log-div_binary64_18579` `log-prod_binary64_18578` `pow-base-0_binary64_18576` `unpow1/3_binary64_18559` `unpow3_binary64_18558` `unpow2_binary64_18557` `unpow1/2_binary64_18556` `pow-plus_binary64_18555` `exp-to-pow_binary64_18554` `pow-base-1_binary64_18552` `unpow0_binary64_18551` `unpow1_binary64_18550` `unpow-1_binary64_18549` `exp-lft-cube_binary64_18548` `exp-lft-sqr_binary64_18547` `exp-cbrt_binary64_18546` `exp-sqrt_binary64_18545` `exp-prod_binary64_18544` `div-exp_binary64_18543` `rec-exp_binary64_18542` `prod-exp_binary64_18541` `exp-diff_binary64_18540` `exp-neg_binary64_18539` `exp-sum_binary64_18538` `e-exp-1_binary64_18537` `exp-1-e_binary64_18535` `exp-0_binary64_18534` `rem-log-exp_binary64_18533` `rem-exp-log_binary64_18532` `cube-unmult_binary64_18529` `cube-mult_binary64_18522` `cube-div_binary64_18521` `cube-prod_binary64_18520` `cube-neg_binary64_18519` `rem-3cbrt-rft_binary64_18518` `rem-3cbrt-lft_binary64_18517` `rem-cbrt-cube_binary64_18516` `rem-cube-cbrt_binary64_18515` `sqr-abs_binary64_18507` `sqr-neg_binary64_18506` `rem-sqrt-square_binary64_18505` `rem-square-sqrt_binary64_18504` `*-inverses_binary64_18472` `+-inverses_binary64_18471` `lft-mult-inverse_binary64_18470` `rgt-mult-inverse_binary64_18469` `remove-double-div_binary64_18468` `pow-sqr_binary64_18465` `sqr-pow_binary64_18464` `difference-of-sqr--1_binary64_18463` `difference-of-sqr-1_binary64_18462` `difference-of-squares_binary64_18461` `unswap-sqr_binary64_18460` `swap-sqr_binary64_18459` `distribute-rgt1-in_binary64_18448` `distribute-lft1-in_binary64_18447` `distribute-lft-out_binary64_18443` `count-2_binary64_18440`

Counts

1 → 1

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	12	22
1	25	22
2	58	22
3	107	22
4	215	22
5	408	16
6	773	16
7	1797	16
8	2019	16
9	2150	16
10	2741	16
11	2925	16
12	3026	16
13	4768	16
14	3484	16
15	3538	16
16	3659	16
17	3655	16
18	3662	16
19	3710	16
20	3729	16
21	3730	16
22	3730	16
23	2820	16
24	3364	16
25	3988	16
26	3702	16
27	4800	16

prune4.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Error

0.1b

Counts

2 → 2

Compiler

Compiled 37 to 33 computations (10.8% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 y (/.f64 t y))
0.0b	(+.f64 x (*.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y))))
0.4b	(/.f64 -1/3 z)
3.4b	(*.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)))

rewrite245.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

70×	`add-sqr-sqrt_binary64_18514`
66×	`times-frac_binary64_18498`
65×	`cancel-sign-sub-inv_binary64_18458`
59×	`*-un-lft-identity_binary64_18492`
55×	`add-cube-cbrt_binary64_18527`
28×	`distribute-rgt-in_binary64_18442` `distribute-lft-in_binary64_18441` `associate-+r+_binary64_18424`
13×	`associate-l_binary64_18433`
11×	`add-exp-log_binary64_18530` `add-cbrt-cube_binary64_18528`
8×	`add-log-exp_binary64_18531`
7×	`div-inv_binary64_18489`
6×	`pow1_binary64_18553` `associate-r_binary64_18432`
5×	`sub-neg_binary64_18485`
4×	`difference-of-squares_binary64_18461`
3×	`flip3--_binary64_18496` `flip--_binary64_18467` `associate-/l_binary64_18437` `associate-/r_binary64_18436`
2×	`div-exp_binary64_18543` `prod-exp_binary64_18541` `cbrt-unprod_binary64_18525` `cbrt-undiv_binary64_18526` `frac-times_binary64_18502` `unswap-sqr_binary64_18460` `associate-*r/_binary64_18434` `distribute-lft-out--_binary64_18444`
1×	`pow-prod-down_binary64_18563` `associate-l/_binary64_18435` `-commutative_binary64_18423` `frac-2neg_binary64_18503` `clear-num_binary64_18491` `sum-log_binary64_18583` `flip3-+_binary64_18495` `flip-+_binary64_18466` `+-commutative_binary64_18422` `diff-log_binary64_18584`

Counts

4 → 160

Calls

4 calls:

16.0ms	(*.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)))
8.0ms	(-.f64 y (/.f64 t y))
8.0ms	(+.f64 x (*.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y))))
3.0ms	(/.f64 -1/3 z)

Compiler

Compiled 3312 to 1436 computations (56.6% saved)

series978.0ms (8.2%)

Error

0.1b

Counts

4 → 57

Calls

4 calls:

530.0ms	(+.f64 x (*.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y))))
287.0ms	(*.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)))
99.0ms	(-.f64 y (/.f64 t y))
20.0ms	(/.f64 -1/3 z)

Compiler

Compiled 1606 to 1192 computations (25.8% saved)

simplify166.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

555×	`distribute-rgt-in_binary64_18442`
254×	`distribute-lft-neg-out_binary64_18451`
245×	`distribute-rgt-neg-out_binary64_18452`
200×	`associate-l_binary64_18433`
194×	`associate-r_binary64_18432`
186×	`*-commutative_binary64_18423`
181×	`distribute-rgt-neg-in_binary64_18450`
169×	`associate-*l/_binary64_18435`
162×	`exp-prod_binary64_18544`
161×	`cancel-sign-sub-inv_binary64_18458`
148×	`associate-*r/_binary64_18434`
133×	`neg-sub0_binary64_18487`
131×	`distribute-lft-neg-in_binary64_18449`
115×	`neg-mul-1_binary64_18488`
112×	`times-frac_binary64_18498`
106×	`distribute-neg-frac_binary64_18456`
86×	`associate-/l*_binary64_18437`
71×	`sub-neg_binary64_18485`
70×	`log-prod_binary64_18578`
57×	`div-sub_binary64_18497`
55×	`distribute-frac-neg_binary64_18455` `distribute-lft-in_binary64_18441`
41×	`*-rgt-identity_binary64_18482`
37×	`*-lft-identity_binary64_18481`
30×	`exp-diff_binary64_18540` `+-commutative_binary64_18422`
29×	`sqr-pow_binary64_18464`
28×	`associate-/l/_binary64_18439`
26×	`unsub-neg_binary64_18486` `distribute-rgt-out_binary64_18445`
24×	`cube-prod_binary64_18520`
21×	`log-div_binary64_18579`
20×	`unpow3_binary64_18558` `associate-/r*_binary64_18436`
17×	`distribute-neg-in_binary64_18453`
14×	`exp-sum_binary64_18538` `swap-sqr_binary64_18459`
10×	`remove-double-neg_binary64_18480` `cancel-sign-sub_binary64_18457` `distribute-lft-out_binary64_18443`
9×	`cube-div_binary64_18521` `distribute-rgt-out--_binary64_18446`
8×	`unswap-sqr_binary64_18460`
7×	`cube-mult_binary64_18522` `/-rgt-identity_binary64_18483` `distribute-lft-out--_binary64_18444` `associate-/r/_binary64_18438`
5×	`associate-+r-_binary64_18426`
4×	`cube-unmult_binary64_18529` `mul-1-neg_binary64_18484` `difference-of-squares_binary64_18461` `associate-+l+_binary64_18425` `associate-+r+_binary64_18424`
3×	`log-rec_binary64_18580` `div0_binary64_18473`
2×	`cube-neg_binary64_18519` `rem-3cbrt-lft_binary64_18517` `rem-square-sqrt_binary64_18504` `+-rgt-identity_binary64_18477` `distribute-neg-out_binary64_18454` `associate--l+_binary64_18429` `associate-+l-_binary64_18427`
1×	`unpow1/3_binary64_18559` `unpow1/2_binary64_18556` `div-exp_binary64_18543` `prod-exp_binary64_18541` `1-exp_binary64_18536` `exp-1-e_binary64_18535` `sqr-neg_binary64_18506` `rem-sqrt-square_binary64_18505` `pow-sqr_binary64_18465`
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_18755` `erf-erfc_binary64_18754` `erf-odd_binary64_18753` `if-if-and-not_binary64_18752` `if-if-and_binary64_18751` `if-if-or-not_binary64_18750` `if-if-or_binary64_18749` `if-not_binary64_18748` `if-same_binary64_18747` `if-false_binary64_18746` `if-true_binary64_18745` `not-gte_binary64_18744` `not-lte_binary64_18743` `not-gt_binary64_18742` `not-lt_binary64_18741` `gte-same_binary64_18740` `lte-same_binary64_18739` `gt-same_binary64_18738` `lt-same_binary64_18737` `sinh---cosh_binary64_18684` `sinh-+-cosh_binary64_18683` `sinh-cosh_binary64_18682` `tanh-def-c_binary64_18681` `tanh-def-b_binary64_18680` `tanh-def-a_binary64_18679` `cosh-def_binary64_18678` `sinh-def_binary64_18677` `tan-neg_binary64_18624` `cos-neg_binary64_18623` `sin-neg_binary64_18622` `tan-0_binary64_18621` `cos-0_binary64_18620` `sin-0_binary64_18619` `hang-m-tan_binary64_18618` `hang-p-tan_binary64_18617` `hang-m0-tan_binary64_18616` `hang-p0-tan_binary64_18615` `hang-0m-tan_binary64_18614` `hang-0p-tan_binary64_18613` `tan-+PI/2_binary64_18612` `tan-+PI_binary64_18611` `tan-PI_binary64_18610` `tan-PI/3_binary64_18609` `tan-PI/4_binary64_18608` `tan-PI/6_binary64_18607` `cos-+PI/2_binary64_18606` `cos-+PI_binary64_18605` `cos-PI_binary64_18604` `cos-PI/2_binary64_18603` `cos-PI/3_binary64_18602` `cos-PI/4_binary64_18601` `cos-PI/6_binary64_18600` `sin-+PI/2_binary64_18599` `sin-+PI_binary64_18598` `sin-PI_binary64_18597` `sin-PI/2_binary64_18596` `sin-PI/3_binary64_18595` `sin-PI/4_binary64_18594` `sin-PI/6_binary64_18593` `sub-1-sin_binary64_18592` `sub-1-cos_binary64_18591` `-1-add-sin_binary64_18590` `-1-add-cos_binary64_18589` `1-sub-sin_binary64_18588` `1-sub-cos_binary64_18587` `cos-sin-sum_binary64_18586` `log-E_binary64_18582` `log-pow_binary64_18581` `pow-base-0_binary64_18576` `unpow2_binary64_18557` `pow-plus_binary64_18555` `exp-to-pow_binary64_18554` `pow-base-1_binary64_18552` `unpow0_binary64_18551` `unpow1_binary64_18550` `unpow-1_binary64_18549` `exp-lft-cube_binary64_18548` `exp-lft-sqr_binary64_18547` `exp-cbrt_binary64_18546` `exp-sqrt_binary64_18545` `rec-exp_binary64_18542` `exp-neg_binary64_18539` `e-exp-1_binary64_18537` `exp-0_binary64_18534` `rem-log-exp_binary64_18533` `rem-exp-log_binary64_18532` `rem-3cbrt-rft_binary64_18518` `rem-cbrt-cube_binary64_18516` `rem-cube-cbrt_binary64_18515` `sqr-abs_binary64_18507` `sub0-neg_binary64_18479` `--rgt-identity_binary64_18478` `+-lft-identity_binary64_18476` `mul0-rgt_binary64_18475` `mul0-lft_binary64_18474` `*-inverses_binary64_18472` `+-inverses_binary64_18471` `lft-mult-inverse_binary64_18470` `rgt-mult-inverse_binary64_18469` `remove-double-div_binary64_18468` `difference-of-sqr--1_binary64_18463` `difference-of-sqr-1_binary64_18462` `distribute-rgt1-in_binary64_18448` `distribute-lft1-in_binary64_18447` `count-2_binary64_18440` `associate--r-_binary64_18431` `associate--l-_binary64_18430` `associate--r+_binary64_18428`

Counts

217 → 154

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	239	3330
1	691	3162
2	2356	2901
3	4747	2901
4	4997	2901
5	4967	2901

prune171.0ms (1.4%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	145	9	154
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	145	11	156

Error

0.0b

Counts

156 → 11

Compiler

Compiled 2743 to 1205 computations (56.1% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 y (/.f64 t y))
0.0b	(+.f64 x (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)))
0.4b	(*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z))
3.2b	(/.f64 (-.f64 y (/.f64 t y)) z)

rewrite177.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

78×	`add-sqr-sqrt_binary64_18514`
54×	`times-frac_binary64_18498`
49×	`*-un-lft-identity_binary64_18492`
33×	`add-cube-cbrt_binary64_18527`
22×	`associate-r_binary64_18432`
16×	`difference-of-squares_binary64_18461`
13×	`cancel-sign-sub-inv_binary64_18458`
11×	`add-exp-log_binary64_18530` `add-cbrt-cube_binary64_18528`
8×	`add-log-exp_binary64_18531` `distribute-lft-out--_binary64_18444`
6×	`pow1_binary64_18553` `associate-/l*_binary64_18437`
3×	`div-inv_binary64_18489` `associate-/r_binary64_18436` `associate-l*_binary64_18433`
2×	`div-exp_binary64_18543` `cbrt-undiv_binary64_18526` `flip3--_binary64_18496` `associate-/l/_binary64_18439` `flip--_binary64_18467` `prod-exp_binary64_18541` `cbrt-unprod_binary64_18525` `unswap-sqr_binary64_18460`
1×	`frac-2neg_binary64_18503` `div-sub_binary64_18497` `clear-num_binary64_18491` `pow-prod-down_binary64_18563` `associate-r/_binary64_18434` `-commutative_binary64_18423` `sum-log_binary64_18583` `flip3-+_binary64_18495` `flip-+_binary64_18466` `+-commutative_binary64_18422` `diff-log_binary64_18584` `sub-neg_binary64_18485`

Counts

4 → 121

Calls

4 calls:

15.0ms	(*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z))
11.0ms	(/.f64 (-.f64 y (/.f64 t y)) z)
8.0ms	(-.f64 y (/.f64 t y))
7.0ms	(+.f64 x (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)))

Compiler

Compiled 2509 to 816 computations (67.5% saved)

series1.3s (10.6%)

Error

0.0b

Counts

4 → 69

Calls

4 calls:

559.0ms	(+.f64 x (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)))
316.0ms	(*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z))
242.0ms	(/.f64 (-.f64 y (/.f64 t y)) z)
110.0ms	(-.f64 y (/.f64 t y))

Compiler

Compiled 1954 to 1420 computations (27.3% saved)

simplify131.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

415×	`associate-/l*_binary64_18437`
359×	`div-sub_binary64_18497` `distribute-rgt-in_binary64_18442`
346×	`distribute-lft-in_binary64_18441`
189×	`associate-/l/_binary64_18439`
142×	`times-frac_binary64_18498`
137×	`exp-prod_binary64_18544`
117×	`associate-/r/_binary64_18438`
115×	`distribute-neg-frac_binary64_18456`
113×	`*-commutative_binary64_18423`
110×	`associate-*r/_binary64_18434`
94×	`distribute-rgt-neg-in_binary64_18450`
93×	`associate-*l/_binary64_18435`
86×	`cancel-sign-sub-inv_binary64_18458`
85×	`sub-neg_binary64_18485`
81×	`neg-sub0_binary64_18487`
79×	`cube-prod_binary64_18520`
78×	`distribute-lft-neg-out_binary64_18451`
73×	`neg-mul-1_binary64_18488`
71×	`distribute-lft-neg-in_binary64_18449`
66×	`distribute-rgt-neg-out_binary64_18452`
56×	`exp-sum_binary64_18538`
49×	`associate-l_binary64_18433`
46×	`cube-div_binary64_18521`
44×	`associate-r_binary64_18432`
42×	`log-prod_binary64_18578`
32×	`+-commutative_binary64_18422`
31×	`associate-/r*_binary64_18436`
29×	`log-div_binary64_18579`
28×	`exp-diff_binary64_18540`
27×	`distribute-rgt-out_binary64_18445`
24×	`distribute-neg-in_binary64_18453`
23×	`sqr-pow_binary64_18464`
14×	`unpow3_binary64_18558` `distribute-frac-neg_binary64_18455`
11×	`/-rgt-identity_binary64_18483`
10×	`cube-unmult_binary64_18529` `*-rgt-identity_binary64_18482`
9×	`cube-mult_binary64_18522`
7×	`cube-neg_binary64_18519` `mul-1-neg_binary64_18484` `distribute-rgt-out--_binary64_18446`
6×	`sqr-neg_binary64_18506` `swap-sqr_binary64_18459`
5×	`*-lft-identity_binary64_18481` `associate-+r-_binary64_18426`
4×	`exp-neg_binary64_18539` `remove-double-neg_binary64_18480` `div0_binary64_18473` `difference-of-squares_binary64_18461` `distribute-lft-out--_binary64_18444` `associate-+l+_binary64_18425`
3×	`rem-sqrt-square_binary64_18505` `rem-square-sqrt_binary64_18504` `distribute-lft-out_binary64_18443`
2×	`rem-3cbrt-rft_binary64_18518` `rem-3cbrt-lft_binary64_18517` `unsub-neg_binary64_18486` `+-rgt-identity_binary64_18477` `unswap-sqr_binary64_18460` `associate--l+_binary64_18429` `associate-+l-_binary64_18427` `associate-+r+_binary64_18424`
1×	`log-rec_binary64_18580` `div-exp_binary64_18543` `prod-exp_binary64_18541` `1-exp_binary64_18536` `pow-sqr_binary64_18465` `distribute-neg-out_binary64_18454` `associate--r-_binary64_18431` `associate--r+_binary64_18428`
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_18755` `erf-erfc_binary64_18754` `erf-odd_binary64_18753` `if-if-and-not_binary64_18752` `if-if-and_binary64_18751` `if-if-or-not_binary64_18750` `if-if-or_binary64_18749` `if-not_binary64_18748` `if-same_binary64_18747` `if-false_binary64_18746` `if-true_binary64_18745` `not-gte_binary64_18744` `not-lte_binary64_18743` `not-gt_binary64_18742` `not-lt_binary64_18741` `gte-same_binary64_18740` `lte-same_binary64_18739` `gt-same_binary64_18738` `lt-same_binary64_18737` `sinh---cosh_binary64_18684` `sinh-+-cosh_binary64_18683` `sinh-cosh_binary64_18682` `tanh-def-c_binary64_18681` `tanh-def-b_binary64_18680` `tanh-def-a_binary64_18679` `cosh-def_binary64_18678` `sinh-def_binary64_18677` `tan-neg_binary64_18624` `cos-neg_binary64_18623` `sin-neg_binary64_18622` `tan-0_binary64_18621` `cos-0_binary64_18620` `sin-0_binary64_18619` `hang-m-tan_binary64_18618` `hang-p-tan_binary64_18617` `hang-m0-tan_binary64_18616` `hang-p0-tan_binary64_18615` `hang-0m-tan_binary64_18614` `hang-0p-tan_binary64_18613` `tan-+PI/2_binary64_18612` `tan-+PI_binary64_18611` `tan-PI_binary64_18610` `tan-PI/3_binary64_18609` `tan-PI/4_binary64_18608` `tan-PI/6_binary64_18607` `cos-+PI/2_binary64_18606` `cos-+PI_binary64_18605` `cos-PI_binary64_18604` `cos-PI/2_binary64_18603` `cos-PI/3_binary64_18602` `cos-PI/4_binary64_18601` `cos-PI/6_binary64_18600` `sin-+PI/2_binary64_18599` `sin-+PI_binary64_18598` `sin-PI_binary64_18597` `sin-PI/2_binary64_18596` `sin-PI/3_binary64_18595` `sin-PI/4_binary64_18594` `sin-PI/6_binary64_18593` `sub-1-sin_binary64_18592` `sub-1-cos_binary64_18591` `-1-add-sin_binary64_18590` `-1-add-cos_binary64_18589` `1-sub-sin_binary64_18588` `1-sub-cos_binary64_18587` `cos-sin-sum_binary64_18586` `log-E_binary64_18582` `log-pow_binary64_18581` `pow-base-0_binary64_18576` `unpow1/3_binary64_18559` `unpow2_binary64_18557` `unpow1/2_binary64_18556` `pow-plus_binary64_18555` `exp-to-pow_binary64_18554` `pow-base-1_binary64_18552` `unpow0_binary64_18551` `unpow1_binary64_18550` `unpow-1_binary64_18549` `exp-lft-cube_binary64_18548` `exp-lft-sqr_binary64_18547` `exp-cbrt_binary64_18546` `exp-sqrt_binary64_18545` `rec-exp_binary64_18542` `e-exp-1_binary64_18537` `exp-1-e_binary64_18535` `exp-0_binary64_18534` `rem-log-exp_binary64_18533` `rem-exp-log_binary64_18532` `rem-cbrt-cube_binary64_18516` `rem-cube-cbrt_binary64_18515` `sqr-abs_binary64_18507` `sub0-neg_binary64_18479` `--rgt-identity_binary64_18478` `+-lft-identity_binary64_18476` `mul0-rgt_binary64_18475` `mul0-lft_binary64_18474` `*-inverses_binary64_18472` `+-inverses_binary64_18471` `lft-mult-inverse_binary64_18470` `rgt-mult-inverse_binary64_18469` `remove-double-div_binary64_18468` `difference-of-sqr--1_binary64_18463` `difference-of-sqr-1_binary64_18462` `cancel-sign-sub_binary64_18457` `distribute-rgt1-in_binary64_18448` `distribute-lft1-in_binary64_18447` `count-2_binary64_18440` `associate--l-_binary64_18430`

Counts

190 → 116

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	225	2853
1	604	2689
2	1677	2689
3	4426	2689
4	5437	2689

prune104.0ms (0.9%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	114	2	116
Fresh	1	8	9
Picked	1	0	1
Done	0	1	1
Total	116	11	127

Error

0.0b

Counts

127 → 11

Compiler

Compiled 1760 to 679 computations (61.4% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 y (/.f64 t y))
0.0b	(+.f64 x (/.f64 (*.f64 (-.f64 y (/.f64 t y)) -1/3) z))
0.3b	(*.f64 (-.f64 y (/.f64 t y)) -1/3)
3.3b	(/.f64 (*.f64 (-.f64 y (/.f64 t y)) -1/3) z)

rewrite133.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

27×	`add-sqr-sqrt_binary64_18514`
21×	`*-un-lft-identity_binary64_18492`
15×	`add-cube-cbrt_binary64_18527`
14×	`times-frac_binary64_18498`
13×	`cancel-sign-sub-inv_binary64_18458`
11×	`add-exp-log_binary64_18530` `add-cbrt-cube_binary64_18528`
8×	`add-log-exp_binary64_18531`
6×	`pow1_binary64_18553` `associate-l_binary64_18433`
4×	`associate-*l/_binary64_18435` `difference-of-squares_binary64_18461`
3×	`flip3--_binary64_18496` `flip--_binary64_18467` `associate-/r_binary64_18436` `associate-r*_binary64_18432`
2×	`prod-exp_binary64_18541` `div-exp_binary64_18543` `cbrt-undiv_binary64_18526` `cbrt-unprod_binary64_18525` `div-inv_binary64_18489` `associate-/l/_binary64_18439` `distribute-lft-out--_binary64_18444`
1×	`frac-2neg_binary64_18503` `clear-num_binary64_18491` `associate-/l_binary64_18437` `pow-prod-down_binary64_18563` `unswap-sqr_binary64_18460` `-commutative_binary64_18423` `sum-log_binary64_18583` `flip3-+_binary64_18495` `flip-+_binary64_18466` `distribute-lft-out_binary64_18443` `+-commutative_binary64_18422` `diff-log_binary64_18584` `sub-neg_binary64_18485`

Counts

4 → 85

Calls

4 calls:

12.0ms	(*.f64 (-.f64 y (/.f64 t y)) -1/3)
11.0ms	(/.f64 (*.f64 (-.f64 y (/.f64 t y)) -1/3) z)
8.0ms	(-.f64 y (/.f64 t y))
5.0ms	(+.f64 x (/.f64 (*.f64 (-.f64 y (/.f64 t y)) -1/3) z))

Compiler

Compiled 1659 to 683 computations (58.8% saved)

series1.1s (9.5%)

Error

0.0b

Counts

4 → 66

Calls

4 calls:

527.0ms	(+.f64 x (/.f64 (*.f64 (-.f64 y (/.f64 t y)) -1/3) z))
301.0ms	(/.f64 (*.f64 (-.f64 y (/.f64 t y)) -1/3) z)
155.0ms	(*.f64 (-.f64 y (/.f64 t y)) -1/3)
110.0ms	(-.f64 y (/.f64 t y))

Compiler

Compiled 1837 to 1381 computations (24.8% saved)

simplify109.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

508×	`times-frac_binary64_18498`
291×	`distribute-rgt-in_binary64_18442`
276×	`associate-/l/_binary64_18439`
275×	`distribute-lft-in_binary64_18441`
178×	`associate-/r/_binary64_18438`
164×	`exp-prod_binary64_18544`
123×	`div-sub_binary64_18497`
120×	`distribute-neg-frac_binary64_18456`
99×	`distribute-rgt-neg-in_binary64_18450`
94×	`associate-/l*_binary64_18437`
93×	`*-commutative_binary64_18423`
89×	`associate-*l/_binary64_18435`
81×	`sub-neg_binary64_18485` `cancel-sign-sub-inv_binary64_18458`
80×	`distribute-lft-neg-out_binary64_18451` `associate-*r/_binary64_18434`
72×	`exp-sum_binary64_18538` `distribute-lft-neg-in_binary64_18449`
69×	`neg-sub0_binary64_18487` `distribute-rgt-neg-out_binary64_18452` `associate-l_binary64_18433`
64×	`neg-mul-1_binary64_18488`
63×	`log-prod_binary64_18578` `associate-r_binary64_18432`
46×	`log-div_binary64_18579`
35×	`exp-diff_binary64_18540`
29×	`sqr-pow_binary64_18464` `+-commutative_binary64_18422`
28×	`associate-/r*_binary64_18436`
24×	`cube-div_binary64_18521`
23×	`distribute-frac-neg_binary64_18455`
19×	`unpow3_binary64_18558` `*-rgt-identity_binary64_18482`
15×	`distribute-rgt-out_binary64_18445`
14×	`/-rgt-identity_binary64_18483`
12×	`cube-prod_binary64_18520` `swap-sqr_binary64_18459` `distribute-neg-in_binary64_18453`
9×	`*-lft-identity_binary64_18481`
8×	`log-rec_binary64_18580` `exp-neg_binary64_18539`
7×	`cube-mult_binary64_18522` `distribute-lft-out_binary64_18443`
6×	`distribute-lft-out--_binary64_18444`
5×	`distribute-rgt-out--_binary64_18446`
4×	`cube-unmult_binary64_18529` `unsub-neg_binary64_18486` `difference-of-squares_binary64_18461` `associate--l+_binary64_18429` `associate-+r-_binary64_18426` `associate-+l+_binary64_18425`
3×	`mul-1-neg_binary64_18484` `div0_binary64_18473`
2×	`cube-neg_binary64_18519` `rem-3cbrt-lft_binary64_18517` `sqr-neg_binary64_18506` `rem-square-sqrt_binary64_18504` `remove-double-neg_binary64_18480` `+-rgt-identity_binary64_18477` `unswap-sqr_binary64_18460` `associate-+r+_binary64_18424`
1×	`unpow1/2_binary64_18556` `div-exp_binary64_18543` `prod-exp_binary64_18541` `1-exp_binary64_18536` `exp-1-e_binary64_18535` `rem-sqrt-square_binary64_18505` `distribute-neg-out_binary64_18454` `associate-+l-_binary64_18427`
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_18755` `erf-erfc_binary64_18754` `erf-odd_binary64_18753` `if-if-and-not_binary64_18752` `if-if-and_binary64_18751` `if-if-or-not_binary64_18750` `if-if-or_binary64_18749` `if-not_binary64_18748` `if-same_binary64_18747` `if-false_binary64_18746` `if-true_binary64_18745` `not-gte_binary64_18744` `not-lte_binary64_18743` `not-gt_binary64_18742` `not-lt_binary64_18741` `gte-same_binary64_18740` `lte-same_binary64_18739` `gt-same_binary64_18738` `lt-same_binary64_18737` `sinh---cosh_binary64_18684` `sinh-+-cosh_binary64_18683` `sinh-cosh_binary64_18682` `tanh-def-c_binary64_18681` `tanh-def-b_binary64_18680` `tanh-def-a_binary64_18679` `cosh-def_binary64_18678` `sinh-def_binary64_18677` `tan-neg_binary64_18624` `cos-neg_binary64_18623` `sin-neg_binary64_18622` `tan-0_binary64_18621` `cos-0_binary64_18620` `sin-0_binary64_18619` `hang-m-tan_binary64_18618` `hang-p-tan_binary64_18617` `hang-m0-tan_binary64_18616` `hang-p0-tan_binary64_18615` `hang-0m-tan_binary64_18614` `hang-0p-tan_binary64_18613` `tan-+PI/2_binary64_18612` `tan-+PI_binary64_18611` `tan-PI_binary64_18610` `tan-PI/3_binary64_18609` `tan-PI/4_binary64_18608` `tan-PI/6_binary64_18607` `cos-+PI/2_binary64_18606` `cos-+PI_binary64_18605` `cos-PI_binary64_18604` `cos-PI/2_binary64_18603` `cos-PI/3_binary64_18602` `cos-PI/4_binary64_18601` `cos-PI/6_binary64_18600` `sin-+PI/2_binary64_18599` `sin-+PI_binary64_18598` `sin-PI_binary64_18597` `sin-PI/2_binary64_18596` `sin-PI/3_binary64_18595` `sin-PI/4_binary64_18594` `sin-PI/6_binary64_18593` `sub-1-sin_binary64_18592` `sub-1-cos_binary64_18591` `-1-add-sin_binary64_18590` `-1-add-cos_binary64_18589` `1-sub-sin_binary64_18588` `1-sub-cos_binary64_18587` `cos-sin-sum_binary64_18586` `log-E_binary64_18582` `log-pow_binary64_18581` `pow-base-0_binary64_18576` `unpow1/3_binary64_18559` `unpow2_binary64_18557` `pow-plus_binary64_18555` `exp-to-pow_binary64_18554` `pow-base-1_binary64_18552` `unpow0_binary64_18551` `unpow1_binary64_18550` `unpow-1_binary64_18549` `exp-lft-cube_binary64_18548` `exp-lft-sqr_binary64_18547` `exp-cbrt_binary64_18546` `exp-sqrt_binary64_18545` `rec-exp_binary64_18542` `e-exp-1_binary64_18537` `exp-0_binary64_18534` `rem-log-exp_binary64_18533` `rem-exp-log_binary64_18532` `rem-3cbrt-rft_binary64_18518` `rem-cbrt-cube_binary64_18516` `rem-cube-cbrt_binary64_18515` `sqr-abs_binary64_18507` `sub0-neg_binary64_18479` `--rgt-identity_binary64_18478` `+-lft-identity_binary64_18476` `mul0-rgt_binary64_18475` `mul0-lft_binary64_18474` `*-inverses_binary64_18472` `+-inverses_binary64_18471` `lft-mult-inverse_binary64_18470` `rgt-mult-inverse_binary64_18469` `remove-double-div_binary64_18468` `pow-sqr_binary64_18465` `difference-of-sqr--1_binary64_18463` `difference-of-sqr-1_binary64_18462` `cancel-sign-sub_binary64_18457` `distribute-rgt1-in_binary64_18448` `distribute-lft1-in_binary64_18447` `count-2_binary64_18440` `associate--r-_binary64_18431` `associate--l-_binary64_18430` `associate--r+_binary64_18428`

Counts

151 → 101

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	188	2180
1	513	1982
2	1589	1895
3	4582	1895
4	4952	1895

prune92.0ms (0.8%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	99	2	101
Fresh	3	6	9
Picked	1	0	1
Done	0	1	1
Total	103	9	112

Error

0.0b

Counts

112 → 9

Compiler

Compiled 1559 to 658 computations (57.8% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 y (/.f64 t y))
0.0b	(+.f64 x (.f64 (.f64 (-.f64 y (/.f64 t y)) -1/3) (/.f64 1 z)))
0.3b	(*.f64 (-.f64 y (/.f64 t y)) -1/3)
3.4b	(.f64 (.f64 (-.f64 y (/.f64 t y)) -1/3) (/.f64 1 z))

rewrite162.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

32×	`add-sqr-sqrt_binary64_18514`
28×	`add-exp-log_binary64_18530`
24×	`*-un-lft-identity_binary64_18492`
20×	`add-cube-cbrt_binary64_18527` `times-frac_binary64_18498`
18×	`add-cbrt-cube_binary64_18528`
16×	`associate-r_binary64_18432`
13×	`prod-exp_binary64_18541` `cancel-sign-sub-inv_binary64_18458`
11×	`pow1_binary64_18553`
8×	`add-log-exp_binary64_18531` `associate-*l/_binary64_18435`
7×	`cbrt-unprod_binary64_18525` `associate-l_binary64_18433`
4×	`pow-prod-down_binary64_18563` `div-exp_binary64_18543` `flip3--_binary64_18496` `flip--_binary64_18467` `difference-of-squares_binary64_18461`
2×	`1-exp_binary64_18536` `rec-exp_binary64_18542` `cbrt-undiv_binary64_18526` `frac-times_binary64_18502` `div-inv_binary64_18489` `*-commutative_binary64_18423` `distribute-lft-out--_binary64_18444`
1×	`un-div-inv_binary64_18490` `associate-*r/_binary64_18434` `unswap-sqr_binary64_18460` `sum-log_binary64_18583` `flip3-+_binary64_18495` `flip-+_binary64_18466` `+-commutative_binary64_18422` `diff-log_binary64_18584` `sub-neg_binary64_18485`

Counts

4 → 103

Calls

4 calls:

16.0ms	(.f64 (.f64 (-.f64 y (/.f64 t y)) -1/3) (/.f64 1 z))
11.0ms	(*.f64 (-.f64 y (/.f64 t y)) -1/3)
8.0ms	(-.f64 y (/.f64 t y))
4.0ms	(+.f64 x (.f64 (.f64 (-.f64 y (/.f64 t y)) -1/3) (/.f64 1 z)))

Compiler

Compiled 2273 to 1098 computations (51.7% saved)

series1.1s (9.6%)

Error

0.0b

Counts

4 → 66

Calls

4 calls:

542.0ms	(+.f64 x (.f64 (.f64 (-.f64 y (/.f64 t y)) -1/3) (/.f64 1 z)))
299.0ms	(.f64 (.f64 (-.f64 y (/.f64 t y)) -1/3) (/.f64 1 z))
159.0ms	(*.f64 (-.f64 y (/.f64 t y)) -1/3)
100.0ms	(-.f64 y (/.f64 t y))

Compiler

Compiled 1957 to 1501 computations (23.3% saved)

simplify119.0ms (1%)

Algorithm

1×	egg-herbie

Rules

400×	`distribute-rgt-in_binary64_18442`
385×	`distribute-lft-in_binary64_18441`
206×	`times-frac_binary64_18498`
182×	`associate-l_binary64_18433`
152×	`associate-r_binary64_18432`
149×	`exp-prod_binary64_18544`
146×	`distribute-rgt-neg-in_binary64_18450`
140×	`cancel-sign-sub-inv_binary64_18458`
136×	`*-commutative_binary64_18423`
125×	`distribute-lft-neg-out_binary64_18451`
108×	`distribute-rgt-neg-out_binary64_18452`
103×	`distribute-lft-neg-in_binary64_18449`
102×	`associate-*r/_binary64_18434`
90×	`distribute-neg-frac_binary64_18456`
78×	`exp-sum_binary64_18538`
75×	`associate-/l*_binary64_18437`
74×	`associate-*l/_binary64_18435`
70×	`neg-sub0_binary64_18487` `sub-neg_binary64_18485`
65×	`neg-mul-1_binary64_18488`
64×	`log-prod_binary64_18578`
51×	`div-sub_binary64_18497`
36×	`sqr-pow_binary64_18464`
34×	`+-commutative_binary64_18422`
31×	`*-rgt-identity_binary64_18482`
30×	`*-lft-identity_binary64_18481` `distribute-rgt-out_binary64_18445`
26×	`associate-/l/_binary64_18439`
23×	`cube-prod_binary64_18520`
22×	`distribute-frac-neg_binary64_18455`
21×	`exp-diff_binary64_18540`
20×	`log-div_binary64_18579` `associate-/r*_binary64_18436`
19×	`unpow3_binary64_18558` `swap-sqr_binary64_18459`
17×	`distribute-lft-out_binary64_18443`
13×	`associate-+r-_binary64_18426` `associate-+l+_binary64_18425`
12×	`cube-div_binary64_18521` `distribute-rgt-out--_binary64_18446`
11×	`distribute-lft-out--_binary64_18444`
10×	`exp-neg_binary64_18539` `/-rgt-identity_binary64_18483`
9×	`unswap-sqr_binary64_18460` `distribute-neg-in_binary64_18453` `associate-+r+_binary64_18424`
7×	`cube-mult_binary64_18522`
6×	`unsub-neg_binary64_18486` `+-rgt-identity_binary64_18477` `associate-/r/_binary64_18438`
5×	`cube-unmult_binary64_18529`
4×	`log-rec_binary64_18580` `difference-of-squares_binary64_18461`
3×	`mul-1-neg_binary64_18484` `div0_binary64_18473` `associate--l+_binary64_18429` `associate-+l-_binary64_18427`
2×	`unpow1/2_binary64_18556` `cube-neg_binary64_18519` `rem-3cbrt-lft_binary64_18517` `sqr-neg_binary64_18506` `rem-square-sqrt_binary64_18504`
1×	`div-exp_binary64_18543` `prod-exp_binary64_18541` `1-exp_binary64_18536` `exp-1-e_binary64_18535` `rem-sqrt-square_binary64_18505` `sub0-neg_binary64_18479` `+-lft-identity_binary64_18476` `pow-sqr_binary64_18465` `distribute-neg-out_binary64_18454`
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_18755` `erf-erfc_binary64_18754` `erf-odd_binary64_18753` `if-if-and-not_binary64_18752` `if-if-and_binary64_18751` `if-if-or-not_binary64_18750` `if-if-or_binary64_18749` `if-not_binary64_18748` `if-same_binary64_18747` `if-false_binary64_18746` `if-true_binary64_18745` `not-gte_binary64_18744` `not-lte_binary64_18743` `not-gt_binary64_18742` `not-lt_binary64_18741` `gte-same_binary64_18740` `lte-same_binary64_18739` `gt-same_binary64_18738` `lt-same_binary64_18737` `sinh---cosh_binary64_18684` `sinh-+-cosh_binary64_18683` `sinh-cosh_binary64_18682` `tanh-def-c_binary64_18681` `tanh-def-b_binary64_18680` `tanh-def-a_binary64_18679` `cosh-def_binary64_18678` `sinh-def_binary64_18677` `tan-neg_binary64_18624` `cos-neg_binary64_18623` `sin-neg_binary64_18622` `tan-0_binary64_18621` `cos-0_binary64_18620` `sin-0_binary64_18619` `hang-m-tan_binary64_18618` `hang-p-tan_binary64_18617` `hang-m0-tan_binary64_18616` `hang-p0-tan_binary64_18615` `hang-0m-tan_binary64_18614` `hang-0p-tan_binary64_18613` `tan-+PI/2_binary64_18612` `tan-+PI_binary64_18611` `tan-PI_binary64_18610` `tan-PI/3_binary64_18609` `tan-PI/4_binary64_18608` `tan-PI/6_binary64_18607` `cos-+PI/2_binary64_18606` `cos-+PI_binary64_18605` `cos-PI_binary64_18604` `cos-PI/2_binary64_18603` `cos-PI/3_binary64_18602` `cos-PI/4_binary64_18601` `cos-PI/6_binary64_18600` `sin-+PI/2_binary64_18599` `sin-+PI_binary64_18598` `sin-PI_binary64_18597` `sin-PI/2_binary64_18596` `sin-PI/3_binary64_18595` `sin-PI/4_binary64_18594` `sin-PI/6_binary64_18593` `sub-1-sin_binary64_18592` `sub-1-cos_binary64_18591` `-1-add-sin_binary64_18590` `-1-add-cos_binary64_18589` `1-sub-sin_binary64_18588` `1-sub-cos_binary64_18587` `cos-sin-sum_binary64_18586` `log-E_binary64_18582` `log-pow_binary64_18581` `pow-base-0_binary64_18576` `unpow1/3_binary64_18559` `unpow2_binary64_18557` `pow-plus_binary64_18555` `exp-to-pow_binary64_18554` `pow-base-1_binary64_18552` `unpow0_binary64_18551` `unpow1_binary64_18550` `unpow-1_binary64_18549` `exp-lft-cube_binary64_18548` `exp-lft-sqr_binary64_18547` `exp-cbrt_binary64_18546` `exp-sqrt_binary64_18545` `rec-exp_binary64_18542` `e-exp-1_binary64_18537` `exp-0_binary64_18534` `rem-log-exp_binary64_18533` `rem-exp-log_binary64_18532` `rem-3cbrt-rft_binary64_18518` `rem-cbrt-cube_binary64_18516` `rem-cube-cbrt_binary64_18515` `sqr-abs_binary64_18507` `remove-double-neg_binary64_18480` `--rgt-identity_binary64_18478` `mul0-rgt_binary64_18475` `mul0-lft_binary64_18474` `*-inverses_binary64_18472` `+-inverses_binary64_18471` `lft-mult-inverse_binary64_18470` `rgt-mult-inverse_binary64_18469` `remove-double-div_binary64_18468` `difference-of-sqr--1_binary64_18463` `difference-of-sqr-1_binary64_18462` `cancel-sign-sub_binary64_18457` `distribute-rgt1-in_binary64_18448` `distribute-lft1-in_binary64_18447` `count-2_binary64_18440` `associate--r-_binary64_18431` `associate--l-_binary64_18430` `associate--r+_binary64_18428`

Counts

169 → 121

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	217	2488
1	576	2302
2	1872	2215
3	4651	2215
4	4980	2215

prune109.0ms (0.9%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	120	1	121
Fresh	1	6	7
Picked	0	1	1
Done	0	1	1
Total	121	9	130

Error

0.0b

Counts

130 → 9

Compiler

Compiled 1892 to 802 computations (57.6% saved)

regimes1.8s (15%)

Accuracy

Total 2.3b remaining (99.6%)

Threshold costs 0b (0%)

Compiler

Compiled 10233 to 8505 computations (16.9% saved)

bsearch5.0ms (0%)

Compiler: Compiled 15 to 13 computations (13.3% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

20×	`neg-mul-1_binary64_18488` `neg-sub0_binary64_18487`
13×	`*-commutative_binary64_18423` `+-commutative_binary64_18422`
9×	`sub-neg_binary64_18485`
8×	`*-rgt-identity_binary64_18482` `distribute-rgt-neg-out_binary64_18452`
7×	`unsub-neg_binary64_18486` `distribute-lft-neg-out_binary64_18451` `distribute-rgt-neg-in_binary64_18450` `distribute-lft-neg-in_binary64_18449`
6×	`*-lft-identity_binary64_18481`
4×	`distribute-neg-frac_binary64_18456`
2×	`cancel-sign-sub-inv_binary64_18458`
1×	`1-exp_binary64_18536`
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_18752` `if-if-and_binary64_18751` `if-if-or-not_binary64_18750` `if-if-or_binary64_18749` `if-not_binary64_18748` `if-same_binary64_18747` `if-false_binary64_18746` `if-true_binary64_18745` `tan-0_binary64_18621` `cos-0_binary64_18620` `sin-0_binary64_18619` `unpow1_binary64_18550` `e-exp-1_binary64_18537` `exp-1-e_binary64_18535` `exp-0_binary64_18534` `sqr-abs_binary64_18507` `sqr-neg_binary64_18506` `mul-1-neg_binary64_18484` `/-rgt-identity_binary64_18483` `remove-double-neg_binary64_18480` `sub0-neg_binary64_18479` `--rgt-identity_binary64_18478` `+-rgt-identity_binary64_18477` `+-lft-identity_binary64_18476` `cancel-sign-sub_binary64_18457` `distribute-frac-neg_binary64_18455` `distribute-neg-out_binary64_18454` `distribute-neg-in_binary64_18453`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	33	113
1	53	111
2	70	111
3	84	111
4	93	111
5	97	111
6	124	111
7	123	111
8	121	111

end0.0ms (0%)

sample2.5s (20.8%)

Algorithm

1×

intervals

Results

356.0ms	8000×	body	128	valid
142.0ms	3102×	body	128	invalid

Compiler

Compiled 1800 to 1481 computations (17.7% saved)

Details

analyze973.0ms (8.1%)

sample30.0ms (0.3%)

simplify377.0ms (3.2%)

prune4.0ms (0%)

localize8.0ms (0.1%)

rewrite245.0ms (2.1%)

series978.0ms (8.2%)

simplify166.0ms (1.4%)

prune171.0ms (1.4%)

localize8.0ms (0.1%)

rewrite177.0ms (1.5%)

series1.3s (10.6%)

simplify131.0ms (1.1%)

prune104.0ms (0.9%)

localize8.0ms (0.1%)

rewrite133.0ms (1.1%)

series1.1s (9.5%)

simplify109.0ms (0.9%)

prune92.0ms (0.8%)

localize12.0ms (0.1%)

rewrite162.0ms (1.4%)

series1.1s (9.6%)

simplify119.0ms (1%)

prune109.0ms (0.9%)

regimes1.8s (15%)

bsearch5.0ms (0%)

simplify9.0ms (0.1%)

end0.0ms (0%)

sample2.5s (20.8%)

Profiling