Details

analyze569.0ms (7.1%)

Algorithm

1×	search
2×	egg-herbie

Rules

1107×	`associate--l-_binary64_3426`
994×	`associate--l+_binary64_3425`
808×	`unsub-neg_binary64_3482`
761×	`sub-neg_binary64_3481`
418×	`cancel-sign-sub-inv_binary64_3454`
353×	`associate--r-_binary64_3427`
296×	`*-commutative_binary64_3419`
268×	`distribute-rgt-in_binary64_3438`
210×	`distribute-neg-in_binary64_3449`
200×	`associate-+l-_binary64_3423` `+-commutative_binary64_3418`
185×	`neg-sub0_binary64_3483`
178×	`neg-mul-1_binary64_3484`
168×	`distribute-lft-in_binary64_3437`
148×	`distribute-rgt-neg-in_binary64_3446`
146×	`distribute-neg-out_binary64_3450`
143×	`associate-+r-_binary64_3422`
128×	`sub0-neg_binary64_3475`
122×	`associate-l_binary64_3429` `associate-+l+_binary64_3421`
115×	`associate-+r+_binary64_3420`
112×	`distribute-lft-neg-out_binary64_3447`
101×	`associate--r+_binary64_3424`
85×	`distribute-lft-neg-in_binary64_3445`
80×	`distribute-rgt-neg-out_binary64_3448`
79×	`distribute-rgt-out--_binary64_3442`
67×	`remove-double-neg_binary64_3476` `distribute-lft-out--_binary64_3440`
52×	`+-rgt-identity_binary64_3473`
48×	`cancel-sign-sub_binary64_3453`
45×	`--rgt-identity_binary64_3474`
36×	`associate-r_binary64_3428`
32×	`log-prod_binary64_3574`
29×	`distribute-rgt-out_binary64_3441`
22×	`mul0-rgt_binary64_3471` `mul0-lft_binary64_3470`
16×	`*-lft-identity_binary64_3477`
10×	`*-rgt-identity_binary64_3478`
7×	`+-lft-identity_binary64_3472`
6×	`distribute-lft-out_binary64_3439`
1×	`1-exp_binary64_3532`
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_3751` `erf-erfc_binary64_3750` `erf-odd_binary64_3749` `if-if-and-not_binary64_3748` `if-if-and_binary64_3747` `if-if-or-not_binary64_3746` `if-if-or_binary64_3745` `if-not_binary64_3744` `if-same_binary64_3743` `if-false_binary64_3742` `if-true_binary64_3741` `not-gte_binary64_3740` `not-lte_binary64_3739` `not-gt_binary64_3738` `not-lt_binary64_3737` `gte-same_binary64_3736` `lte-same_binary64_3735` `gt-same_binary64_3734` `lt-same_binary64_3733` `sinh---cosh_binary64_3680` `sinh-+-cosh_binary64_3679` `sinh-cosh_binary64_3678` `tanh-def-c_binary64_3677` `tanh-def-b_binary64_3676` `tanh-def-a_binary64_3675` `cosh-def_binary64_3674` `sinh-def_binary64_3673` `tan-neg_binary64_3620` `cos-neg_binary64_3619` `sin-neg_binary64_3618` `tan-0_binary64_3617` `cos-0_binary64_3616` `sin-0_binary64_3615` `hang-m-tan_binary64_3614` `hang-p-tan_binary64_3613` `hang-m0-tan_binary64_3612` `hang-p0-tan_binary64_3611` `hang-0m-tan_binary64_3610` `hang-0p-tan_binary64_3609` `tan-+PI/2_binary64_3608` `tan-+PI_binary64_3607` `tan-PI_binary64_3606` `tan-PI/3_binary64_3605` `tan-PI/4_binary64_3604` `tan-PI/6_binary64_3603` `cos-+PI/2_binary64_3602` `cos-+PI_binary64_3601` `cos-PI_binary64_3600` `cos-PI/2_binary64_3599` `cos-PI/3_binary64_3598` `cos-PI/4_binary64_3597` `cos-PI/6_binary64_3596` `sin-+PI/2_binary64_3595` `sin-+PI_binary64_3594` `sin-PI_binary64_3593` `sin-PI/2_binary64_3592` `sin-PI/3_binary64_3591` `sin-PI/4_binary64_3590` `sin-PI/6_binary64_3589` `sub-1-sin_binary64_3588` `sub-1-cos_binary64_3587` `-1-add-sin_binary64_3586` `-1-add-cos_binary64_3585` `1-sub-sin_binary64_3584` `1-sub-cos_binary64_3583` `cos-sin-sum_binary64_3582` `log-E_binary64_3578` `log-pow_binary64_3577` `log-rec_binary64_3576` `log-div_binary64_3575` `pow-base-0_binary64_3572` `unpow1/3_binary64_3555` `unpow3_binary64_3554` `unpow2_binary64_3553` `unpow1/2_binary64_3552` `pow-plus_binary64_3551` `exp-to-pow_binary64_3550` `pow-base-1_binary64_3548` `unpow0_binary64_3547` `unpow1_binary64_3546` `unpow-1_binary64_3545` `exp-lft-cube_binary64_3544` `exp-lft-sqr_binary64_3543` `exp-cbrt_binary64_3542` `exp-sqrt_binary64_3541` `exp-prod_binary64_3540` `div-exp_binary64_3539` `rec-exp_binary64_3538` `prod-exp_binary64_3537` `exp-diff_binary64_3536` `exp-neg_binary64_3535` `exp-sum_binary64_3534` `e-exp-1_binary64_3533` `exp-1-e_binary64_3531` `exp-0_binary64_3530` `rem-log-exp_binary64_3529` `rem-exp-log_binary64_3528` `cube-unmult_binary64_3525` `cube-mult_binary64_3518` `cube-div_binary64_3517` `cube-prod_binary64_3516` `cube-neg_binary64_3515` `rem-3cbrt-rft_binary64_3514` `rem-3cbrt-lft_binary64_3513` `rem-cbrt-cube_binary64_3512` `rem-cube-cbrt_binary64_3511` `sqr-abs_binary64_3503` `sqr-neg_binary64_3502` `rem-sqrt-square_binary64_3501` `rem-square-sqrt_binary64_3500` `times-frac_binary64_3494` `div-sub_binary64_3493` `mul-1-neg_binary64_3480` `/-rgt-identity_binary64_3479` `div0_binary64_3469` `-inverses_binary64_3468` `+-inverses_binary64_3467` `lft-mult-inverse_binary64_3466` `rgt-mult-inverse_binary64_3465` `remove-double-div_binary64_3464` `pow-sqr_binary64_3461` `sqr-pow_binary64_3460` `difference-of-sqr--1_binary64_3459` `difference-of-sqr-1_binary64_3458` `difference-of-squares_binary64_3457` `unswap-sqr_binary64_3456` `swap-sqr_binary64_3455` `distribute-neg-frac_binary64_3452` `distribute-frac-neg_binary64_3451` `distribute-rgt1-in_binary64_3444` `distribute-lft1-in_binary64_3443` `count-2_binary64_3436` `associate-/l/_binary64_3435` `associate-/r/_binary64_3434` `associate-/l_binary64_3433` `associate-/r_binary64_3432` `associate-l/_binary64_3431` `associate-*r/_binary64_3430`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	119
1	91	119
2	281	119
3	715	119
4	1521	119
5	2381	119
6	3108	119
7	3175	119
8	3378	119
9	3368	119
10	3424	119
11	3444	119
12	3456	119
13	3456	119
14	3484	119
15	3512	119
16	3512	119
17	6226	119
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%	74.9%	25.1%	3
0%	74.9%	25.1%	4
0%	49.9%	50.1%	5
0%	43.7%	56.3%	6
0%	34.3%	65.7%	7
3.1%	31.2%	65.7%	8
3.5%	27.7%	68.8%	9
5.3%	24.4%	70.4%	10
7.5%	19.8%	72.7%	11
11.1%	16.2%	72.7%	12
11.3%	15.3%	73.5%	13
13.2%	13%	73.9%	14

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample27.0ms (0.3%)

Algorithm

1×

intervals

Results

14.0ms	256×	body	128	valid
0.0ms	10×	body	128	nan
0.0ms	1×	body	128	invalid

Compiler

Compiled 23 to 25 computations (-8.7% saved)

simplify253.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

1960×	`associate--r-_binary64_3427`
620×	`unsub-neg_binary64_3482`
437×	`distribute-rgt-in_binary64_3438`
327×	`distribute-neg-in_binary64_3449`
318×	`distribute-lft-in_binary64_3437`
298×	`sub-neg_binary64_3481`
241×	`+-commutative_binary64_3418`
236×	`associate--r+_binary64_3424`
204×	`associate-+r+_binary64_3420`
202×	`associate--l+_binary64_3425`
192×	`cancel-sign-sub-inv_binary64_3454`
191×	`*-commutative_binary64_3419`
182×	`associate-+l+_binary64_3421`
177×	`distribute-rgt-out--_binary64_3442`
126×	`neg-sub0_binary64_3483`
117×	`associate-r_binary64_3428`
115×	`distribute-neg-out_binary64_3450`
100×	`associate-l_binary64_3429`
94×	`distribute-lft-neg-out_binary64_3447`
93×	`distribute-rgt-neg-out_binary64_3448`
77×	`distribute-rgt-neg-in_binary64_3446`
75×	`neg-mul-1_binary64_3484`
72×	`associate-+l-_binary64_3423`
71×	`distribute-rgt-out_binary64_3441`
60×	`distribute-lft-neg-in_binary64_3445`
45×	`associate--l-_binary64_3426`
43×	`associate-+r-_binary64_3422`
34×	`mul0-rgt_binary64_3471` `mul0-lft_binary64_3470`
23×	`sub0-neg_binary64_3475`
17×	`remove-double-neg_binary64_3476`
14×	`*-lft-identity_binary64_3477`
13×	`*-rgt-identity_binary64_3478`
12×	`+-rgt-identity_binary64_3473`
10×	`--rgt-identity_binary64_3474` `distribute-rgt1-in_binary64_3444`
8×	`log-prod_binary64_3574`
6×	`+-lft-identity_binary64_3472` `distribute-lft-out_binary64_3439`
3×	`distribute-lft1-in_binary64_3443` `distribute-lft-out--_binary64_3440`
1×	`1-exp_binary64_3532` `mul-1-neg_binary64_3480` `count-2_binary64_3436`
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_3751` `erf-erfc_binary64_3750` `erf-odd_binary64_3749` `if-if-and-not_binary64_3748` `if-if-and_binary64_3747` `if-if-or-not_binary64_3746` `if-if-or_binary64_3745` `if-not_binary64_3744` `if-same_binary64_3743` `if-false_binary64_3742` `if-true_binary64_3741` `not-gte_binary64_3740` `not-lte_binary64_3739` `not-gt_binary64_3738` `not-lt_binary64_3737` `gte-same_binary64_3736` `lte-same_binary64_3735` `gt-same_binary64_3734` `lt-same_binary64_3733` `sinh---cosh_binary64_3680` `sinh-+-cosh_binary64_3679` `sinh-cosh_binary64_3678` `tanh-def-c_binary64_3677` `tanh-def-b_binary64_3676` `tanh-def-a_binary64_3675` `cosh-def_binary64_3674` `sinh-def_binary64_3673` `tan-neg_binary64_3620` `cos-neg_binary64_3619` `sin-neg_binary64_3618` `tan-0_binary64_3617` `cos-0_binary64_3616` `sin-0_binary64_3615` `hang-m-tan_binary64_3614` `hang-p-tan_binary64_3613` `hang-m0-tan_binary64_3612` `hang-p0-tan_binary64_3611` `hang-0m-tan_binary64_3610` `hang-0p-tan_binary64_3609` `tan-+PI/2_binary64_3608` `tan-+PI_binary64_3607` `tan-PI_binary64_3606` `tan-PI/3_binary64_3605` `tan-PI/4_binary64_3604` `tan-PI/6_binary64_3603` `cos-+PI/2_binary64_3602` `cos-+PI_binary64_3601` `cos-PI_binary64_3600` `cos-PI/2_binary64_3599` `cos-PI/3_binary64_3598` `cos-PI/4_binary64_3597` `cos-PI/6_binary64_3596` `sin-+PI/2_binary64_3595` `sin-+PI_binary64_3594` `sin-PI_binary64_3593` `sin-PI/2_binary64_3592` `sin-PI/3_binary64_3591` `sin-PI/4_binary64_3590` `sin-PI/6_binary64_3589` `sub-1-sin_binary64_3588` `sub-1-cos_binary64_3587` `-1-add-sin_binary64_3586` `-1-add-cos_binary64_3585` `1-sub-sin_binary64_3584` `1-sub-cos_binary64_3583` `cos-sin-sum_binary64_3582` `log-E_binary64_3578` `log-pow_binary64_3577` `log-rec_binary64_3576` `log-div_binary64_3575` `pow-base-0_binary64_3572` `unpow1/3_binary64_3555` `unpow3_binary64_3554` `unpow2_binary64_3553` `unpow1/2_binary64_3552` `pow-plus_binary64_3551` `exp-to-pow_binary64_3550` `pow-base-1_binary64_3548` `unpow0_binary64_3547` `unpow1_binary64_3546` `unpow-1_binary64_3545` `exp-lft-cube_binary64_3544` `exp-lft-sqr_binary64_3543` `exp-cbrt_binary64_3542` `exp-sqrt_binary64_3541` `exp-prod_binary64_3540` `div-exp_binary64_3539` `rec-exp_binary64_3538` `prod-exp_binary64_3537` `exp-diff_binary64_3536` `exp-neg_binary64_3535` `exp-sum_binary64_3534` `e-exp-1_binary64_3533` `exp-1-e_binary64_3531` `exp-0_binary64_3530` `rem-log-exp_binary64_3529` `rem-exp-log_binary64_3528` `cube-unmult_binary64_3525` `cube-mult_binary64_3518` `cube-div_binary64_3517` `cube-prod_binary64_3516` `cube-neg_binary64_3515` `rem-3cbrt-rft_binary64_3514` `rem-3cbrt-lft_binary64_3513` `rem-cbrt-cube_binary64_3512` `rem-cube-cbrt_binary64_3511` `sqr-abs_binary64_3503` `sqr-neg_binary64_3502` `rem-sqrt-square_binary64_3501` `rem-square-sqrt_binary64_3500` `times-frac_binary64_3494` `div-sub_binary64_3493` `/-rgt-identity_binary64_3479` `div0_binary64_3469` `-inverses_binary64_3468` `+-inverses_binary64_3467` `lft-mult-inverse_binary64_3466` `rgt-mult-inverse_binary64_3465` `remove-double-div_binary64_3464` `pow-sqr_binary64_3461` `sqr-pow_binary64_3460` `difference-of-sqr--1_binary64_3459` `difference-of-sqr-1_binary64_3458` `difference-of-squares_binary64_3457` `unswap-sqr_binary64_3456` `swap-sqr_binary64_3455` `cancel-sign-sub_binary64_3453` `distribute-neg-frac_binary64_3452` `distribute-frac-neg_binary64_3451` `associate-/l/_binary64_3435` `associate-/r/_binary64_3434` `associate-/l_binary64_3433` `associate-/r_binary64_3432` `associate-l/_binary64_3431` `associate-*r/_binary64_3430`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	17
1	21	17
2	55	17
3	130	17
4	273	17
5	463	17
6	477	17
7	549	17
8	657	17
9	1342	17
10	1471	17
11	1819	17
12	1921	17
13	1992	17
14	2001	17
15	2335	17
16	2177	17
17	2374	17
18	2396	17
19	2398	17
20	2410	17
21	2418	17
22	2418	17
23	2622	17
24	2520	17
25	2522	17
26	2522	17
27	4974	17

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

0.1b

Counts

1 → 1

Compiler

Compiled 11 to 10 computations (9.1% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (-.f64 (*.f64 x (log.f64 y)) y) z)
0.0b	(+.f64 (-.f64 (-.f64 (*.f64 x (log.f64 y)) y) z) (log.f64 t))
0.3b	(*.f64 x (log.f64 y))

rewrite115.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

32×	`associate--l+_binary64_3425`
26×	`*-un-lft-identity_binary64_3488`
21×	`log-prod_binary64_3574`
20×	`add-sqr-sqrt_binary64_3510`
16×	`add-cube-cbrt_binary64_3523`
14×	`add-log-exp_binary64_3527` `associate-+l+_binary64_3421`
12×	`cancel-sign-sub-inv_binary64_3454`
9×	`distribute-rgt-in_binary64_3438` `distribute-lft-in_binary64_3437`
8×	`pow1_binary64_3549`
6×	`diff-log_binary64_3580`
5×	`add-exp-log_binary64_3526` `add-cbrt-cube_binary64_3524`
4×	`associate-r_binary64_3428` `distribute-lft-out_binary64_3439` `sub-neg_binary64_3481`
3×	`associate-l_binary64_3429` `log-pow_binary64_3577` `sum-log_binary64_3579` `distribute-lft-out--_binary64_3440` `associate-+r+_binary64_3420`
1×	`pow-prod-down_binary64_3559` `prod-exp_binary64_3537` `cbrt-unprod_binary64_3521` `unswap-sqr_binary64_3456` `*-commutative_binary64_3419` `flip3-+_binary64_3491` `flip-+_binary64_3462` `associate-+l-_binary64_3423` `+-commutative_binary64_3418` `flip3--_binary64_3492` `flip--_binary64_3463` `difference-of-squares_binary64_3457` `associate--l-_binary64_3426`

Counts

3 → 88

Calls

3 calls:

14.0ms	(+.f64 (-.f64 (-.f64 (*.f64 x (log.f64 y)) y) z) (log.f64 t))
9.0ms	(-.f64 (-.f64 (*.f64 x (log.f64 y)) y) z)
5.0ms	(*.f64 x (log.f64 y))

Compiler

Compiled 1561 to 386 computations (75.3% saved)

series1.2s (15%)

Error

0.1b

Counts

3 → 43

Calls

3 calls:

645.0ms	(+.f64 (-.f64 (-.f64 (*.f64 x (log.f64 y)) y) z) (log.f64 t))
345.0ms	(-.f64 (-.f64 (*.f64 x (log.f64 y)) y) z)
194.0ms	(*.f64 x (log.f64 y))

Compiler

Compiled 1140 to 811 computations (28.9% saved)

simplify117.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

422×	`unsub-neg_binary64_3482`
371×	`distribute-rgt-in_binary64_3438`
348×	`distribute-lft-in_binary64_3437`
323×	`associate-l_binary64_3429`
281×	`associate-r_binary64_3428`
203×	`exp-sum_binary64_3534`
195×	`sub-neg_binary64_3481`
179×	`associate-+r+_binary64_3420`
160×	`associate-+l+_binary64_3421`
154×	`exp-diff_binary64_3536`
153×	`+-commutative_binary64_3418`
150×	`associate--r+_binary64_3424`
120×	`associate-+r-_binary64_3422`
116×	`associate--l+_binary64_3425`
115×	`associate-+l-_binary64_3423`
108×	`*-commutative_binary64_3419`
107×	`neg-sub0_binary64_3483`
91×	`neg-mul-1_binary64_3484`
89×	`exp-prod_binary64_3540`
66×	`associate--r-_binary64_3427`
65×	`log-prod_binary64_3574`
57×	`cancel-sign-sub-inv_binary64_3454`
47×	`distribute-neg-in_binary64_3449` `associate--l-_binary64_3426`
34×	`cube-prod_binary64_3516`
28×	`times-frac_binary64_3494` `distribute-lft-neg-out_binary64_3447` `distribute-rgt-neg-in_binary64_3446`
24×	`log-div_binary64_3575`
21×	`sqr-pow_binary64_3460` `distribute-rgt-neg-out_binary64_3448`
20×	`distribute-lft-neg-in_binary64_3445`
13×	`div-exp_binary64_3539`
12×	`cube-unmult_binary64_3525` `*-lft-identity_binary64_3477`
11×	`prod-exp_binary64_3537` `*-rgt-identity_binary64_3478` `+-rgt-identity_binary64_3473`
10×	`associate-/l*_binary64_3433`
9×	`sqr-neg_binary64_3502`
8×	`distribute-rgt-out_binary64_3441` `associate-/r*_binary64_3432`
6×	`log-pow_binary64_3577` `log-rec_binary64_3576` `unpow3_binary64_3554` `cube-neg_binary64_3515` `swap-sqr_binary64_3455` `distribute-neg-out_binary64_3450` `associate-*l/_binary64_3431`
5×	`exp-to-pow_binary64_3550` `remove-double-neg_binary64_3476` `difference-of-squares_binary64_3457`
4×	`cube-mult_binary64_3518` `div-sub_binary64_3493`
3×	`rem-sqrt-square_binary64_3501` `mul-1-neg_binary64_3480` `sub0-neg_binary64_3475` `associate-*r/_binary64_3430`
2×	`rec-exp_binary64_3538` `rem-exp-log_binary64_3528` `rem-3cbrt-lft_binary64_3513` `rem-square-sqrt_binary64_3500` `unswap-sqr_binary64_3456` `cancel-sign-sub_binary64_3453` `distribute-rgt-out--_binary64_3442` `count-2_binary64_3436` `associate-/l/_binary64_3435`
1×	`unpow1/2_binary64_3552` `pow-plus_binary64_3551` `1-exp_binary64_3532` `exp-1-e_binary64_3531` `+-inverses_binary64_3467` `pow-sqr_binary64_3461` `distribute-rgt1-in_binary64_3444` `distribute-lft-out_binary64_3439`
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_3751` `erf-erfc_binary64_3750` `erf-odd_binary64_3749` `if-if-and-not_binary64_3748` `if-if-and_binary64_3747` `if-if-or-not_binary64_3746` `if-if-or_binary64_3745` `if-not_binary64_3744` `if-same_binary64_3743` `if-false_binary64_3742` `if-true_binary64_3741` `not-gte_binary64_3740` `not-lte_binary64_3739` `not-gt_binary64_3738` `not-lt_binary64_3737` `gte-same_binary64_3736` `lte-same_binary64_3735` `gt-same_binary64_3734` `lt-same_binary64_3733` `sinh---cosh_binary64_3680` `sinh-+-cosh_binary64_3679` `sinh-cosh_binary64_3678` `tanh-def-c_binary64_3677` `tanh-def-b_binary64_3676` `tanh-def-a_binary64_3675` `cosh-def_binary64_3674` `sinh-def_binary64_3673` `tan-neg_binary64_3620` `cos-neg_binary64_3619` `sin-neg_binary64_3618` `tan-0_binary64_3617` `cos-0_binary64_3616` `sin-0_binary64_3615` `hang-m-tan_binary64_3614` `hang-p-tan_binary64_3613` `hang-m0-tan_binary64_3612` `hang-p0-tan_binary64_3611` `hang-0m-tan_binary64_3610` `hang-0p-tan_binary64_3609` `tan-+PI/2_binary64_3608` `tan-+PI_binary64_3607` `tan-PI_binary64_3606` `tan-PI/3_binary64_3605` `tan-PI/4_binary64_3604` `tan-PI/6_binary64_3603` `cos-+PI/2_binary64_3602` `cos-+PI_binary64_3601` `cos-PI_binary64_3600` `cos-PI/2_binary64_3599` `cos-PI/3_binary64_3598` `cos-PI/4_binary64_3597` `cos-PI/6_binary64_3596` `sin-+PI/2_binary64_3595` `sin-+PI_binary64_3594` `sin-PI_binary64_3593` `sin-PI/2_binary64_3592` `sin-PI/3_binary64_3591` `sin-PI/4_binary64_3590` `sin-PI/6_binary64_3589` `sub-1-sin_binary64_3588` `sub-1-cos_binary64_3587` `-1-add-sin_binary64_3586` `-1-add-cos_binary64_3585` `1-sub-sin_binary64_3584` `1-sub-cos_binary64_3583` `cos-sin-sum_binary64_3582` `log-E_binary64_3578` `pow-base-0_binary64_3572` `unpow1/3_binary64_3555` `unpow2_binary64_3553` `pow-base-1_binary64_3548` `unpow0_binary64_3547` `unpow1_binary64_3546` `unpow-1_binary64_3545` `exp-lft-cube_binary64_3544` `exp-lft-sqr_binary64_3543` `exp-cbrt_binary64_3542` `exp-sqrt_binary64_3541` `exp-neg_binary64_3535` `e-exp-1_binary64_3533` `exp-0_binary64_3530` `rem-log-exp_binary64_3529` `cube-div_binary64_3517` `rem-3cbrt-rft_binary64_3514` `rem-cbrt-cube_binary64_3512` `rem-cube-cbrt_binary64_3511` `sqr-abs_binary64_3503` `/-rgt-identity_binary64_3479` `--rgt-identity_binary64_3474` `+-lft-identity_binary64_3472` `mul0-rgt_binary64_3471` `mul0-lft_binary64_3470` `div0_binary64_3469` `*-inverses_binary64_3468` `lft-mult-inverse_binary64_3466` `rgt-mult-inverse_binary64_3465` `remove-double-div_binary64_3464` `difference-of-sqr--1_binary64_3459` `difference-of-sqr-1_binary64_3458` `distribute-neg-frac_binary64_3452` `distribute-frac-neg_binary64_3451` `distribute-lft1-in_binary64_3443` `distribute-lft-out--_binary64_3440` `associate-/r/_binary64_3434`

Counts

131 → 109

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	190	1786
1	403	1693
2	1082	1676
3	4026	1676
4	4957	1676
5	4995	1676

prune94.0ms (1.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	102	7	109
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	102	8	110

Error

0.0b

Counts

110 → 8

Compiler

Compiled 1662 to 362 computations (78.2% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 x (log.f64 (cbrt.f64 y)))
0.3b	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (cbrt.f64 y))))
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)

rewrite128.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

24×	`log-prod_binary64_3574`
18×	`cbrt-prod_binary64_3519` `add-sqr-sqrt_binary64_3510`
16×	`add-cube-cbrt_binary64_3523` `*-un-lft-identity_binary64_3488`
12×	`distribute-rgt-in_binary64_3438` `associate-+r+_binary64_3420` `distribute-lft-in_binary64_3437`
7×	`pow1_binary64_3549`
6×	`add-log-exp_binary64_3527` `add-exp-log_binary64_3526` `add-cbrt-cube_binary64_3524`
5×	`associate-r_binary64_3428`
3×	`pow1/3_binary64_3570` `associate-l_binary64_3429`
2×	`log-pow_binary64_3577`
1×	`sum-log_binary64_3579` `flip3-+_binary64_3491` `flip-+_binary64_3462` `distribute-lft-out_binary64_3439` `+-commutative_binary64_3418` `pow-prod-down_binary64_3559` `prod-exp_binary64_3537` `cbrt-unprod_binary64_3521` `unswap-sqr_binary64_3456` `*-commutative_binary64_3419`

Counts

4 → 78

Calls

4 calls:

8.0ms	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (cbrt.f64 y))))
6.0ms	(*.f64 x (log.f64 (cbrt.f64 y)))
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

Compiler

Compiled 2118 to 806 computations (61.9% saved)

series1.1s (13.1%)

Error

0.0b

Counts

4 → 18

Calls

4 calls:

416.0ms	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (cbrt.f64 y))))
390.0ms	(*.f64 x (log.f64 (cbrt.f64 y)))
114.0ms	(cbrt.f64 y)
107.0ms	(cbrt.f64 y)

Compiler

Compiled 1098 to 863 computations (21.4% saved)

simplify73.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

624×	`associate-+l+_binary64_3421`
328×	`cancel-sign-sub-inv_binary64_3454`
291×	`*-commutative_binary64_3419`
249×	`distribute-rgt-out_binary64_3441`
246×	`distribute-rgt-neg-in_binary64_3446`
210×	`distribute-lft-neg-in_binary64_3445`
205×	`associate--r+_binary64_3424`
176×	`distribute-lft-out_binary64_3439`
162×	`distribute-rgt-in_binary64_3438`
143×	`associate-l_binary64_3429`
140×	`distribute-lft-in_binary64_3437`
120×	`associate-r_binary64_3428`
114×	`log-prod_binary64_3574`
112×	`distribute-neg-in_binary64_3449`
95×	`associate--l+_binary64_3425`
83×	`sqr-pow_binary64_3460`
76×	`count-2_binary64_3436`
75×	`cube-prod_binary64_3516`
69×	`associate-+l-_binary64_3423`
66×	`swap-sqr_binary64_3455`
65×	`associate-+r-_binary64_3422`
64×	`distribute-rgt-out--_binary64_3442`
60×	`exp-prod_binary64_3540`
56×	`sub-neg_binary64_3481`
52×	`unswap-sqr_binary64_3456`
43×	`associate-/r*_binary64_3432`
41×	`neg-sub0_binary64_3483`
40×	`neg-mul-1_binary64_3484`
39×	`exp-sum_binary64_3534` `+-commutative_binary64_3418`
38×	`distribute-lft-neg-out_binary64_3447`
34×	`*-lft-identity_binary64_3477`
31×	`distribute-lft-out--_binary64_3440`
24×	`*-rgt-identity_binary64_3478`
23×	`associate-/l*_binary64_3433`
22×	`distribute-rgt1-in_binary64_3444`
19×	`distribute-rgt-neg-out_binary64_3448`
18×	`log-div_binary64_3575` `exp-to-pow_binary64_3550`
17×	`log-pow_binary64_3577` `associate-+r+_binary64_3420`
16×	`associate-/l/_binary64_3435` `associate--r-_binary64_3427`
14×	`pow-sqr_binary64_3461`
11×	`unpow3_binary64_3554` `unsub-neg_binary64_3482`
9×	`cube-mult_binary64_3518`
8×	`distribute-lft1-in_binary64_3443`
6×	`associate-*r/_binary64_3430`
5×	`exp-diff_binary64_3536` `cube-unmult_binary64_3525` `+-rgt-identity_binary64_3473`
4×	`log-rec_binary64_3576` `prod-exp_binary64_3537` `rem-sqrt-square_binary64_3501` `div-sub_binary64_3493` `associate--l-_binary64_3426`
3×	`unpow1/3_binary64_3555` `exp-lft-sqr_binary64_3543` `sub0-neg_binary64_3475` `difference-of-squares_binary64_3457`
2×	`pow-plus_binary64_3551` `rec-exp_binary64_3538` `associate-/r/_binary64_3434`
1×	`unpow1/2_binary64_3552` `exp-lft-cube_binary64_3544` `1-exp_binary64_3532` `exp-1-e_binary64_3531` `rem-exp-log_binary64_3528` `rem-3cbrt-lft_binary64_3513` `mul-1-neg_binary64_3480` `/-rgt-identity_binary64_3479` `remove-double-neg_binary64_3476`
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_3751` `erf-erfc_binary64_3750` `erf-odd_binary64_3749` `if-if-and-not_binary64_3748` `if-if-and_binary64_3747` `if-if-or-not_binary64_3746` `if-if-or_binary64_3745` `if-not_binary64_3744` `if-same_binary64_3743` `if-false_binary64_3742` `if-true_binary64_3741` `not-gte_binary64_3740` `not-lte_binary64_3739` `not-gt_binary64_3738` `not-lt_binary64_3737` `gte-same_binary64_3736` `lte-same_binary64_3735` `gt-same_binary64_3734` `lt-same_binary64_3733` `sinh---cosh_binary64_3680` `sinh-+-cosh_binary64_3679` `sinh-cosh_binary64_3678` `tanh-def-c_binary64_3677` `tanh-def-b_binary64_3676` `tanh-def-a_binary64_3675` `cosh-def_binary64_3674` `sinh-def_binary64_3673` `tan-neg_binary64_3620` `cos-neg_binary64_3619` `sin-neg_binary64_3618` `tan-0_binary64_3617` `cos-0_binary64_3616` `sin-0_binary64_3615` `hang-m-tan_binary64_3614` `hang-p-tan_binary64_3613` `hang-m0-tan_binary64_3612` `hang-p0-tan_binary64_3611` `hang-0m-tan_binary64_3610` `hang-0p-tan_binary64_3609` `tan-+PI/2_binary64_3608` `tan-+PI_binary64_3607` `tan-PI_binary64_3606` `tan-PI/3_binary64_3605` `tan-PI/4_binary64_3604` `tan-PI/6_binary64_3603` `cos-+PI/2_binary64_3602` `cos-+PI_binary64_3601` `cos-PI_binary64_3600` `cos-PI/2_binary64_3599` `cos-PI/3_binary64_3598` `cos-PI/4_binary64_3597` `cos-PI/6_binary64_3596` `sin-+PI/2_binary64_3595` `sin-+PI_binary64_3594` `sin-PI_binary64_3593` `sin-PI/2_binary64_3592` `sin-PI/3_binary64_3591` `sin-PI/4_binary64_3590` `sin-PI/6_binary64_3589` `sub-1-sin_binary64_3588` `sub-1-cos_binary64_3587` `-1-add-sin_binary64_3586` `-1-add-cos_binary64_3585` `1-sub-sin_binary64_3584` `1-sub-cos_binary64_3583` `cos-sin-sum_binary64_3582` `log-E_binary64_3578` `pow-base-0_binary64_3572` `unpow2_binary64_3553` `pow-base-1_binary64_3548` `unpow0_binary64_3547` `unpow1_binary64_3546` `unpow-1_binary64_3545` `exp-cbrt_binary64_3542` `exp-sqrt_binary64_3541` `div-exp_binary64_3539` `exp-neg_binary64_3535` `e-exp-1_binary64_3533` `exp-0_binary64_3530` `rem-log-exp_binary64_3529` `cube-div_binary64_3517` `cube-neg_binary64_3515` `rem-3cbrt-rft_binary64_3514` `rem-cbrt-cube_binary64_3512` `rem-cube-cbrt_binary64_3511` `sqr-abs_binary64_3503` `sqr-neg_binary64_3502` `rem-square-sqrt_binary64_3500` `times-frac_binary64_3494` `--rgt-identity_binary64_3474` `+-lft-identity_binary64_3472` `mul0-rgt_binary64_3471` `mul0-lft_binary64_3470` `div0_binary64_3469` `-inverses_binary64_3468` `+-inverses_binary64_3467` `lft-mult-inverse_binary64_3466` `rgt-mult-inverse_binary64_3465` `remove-double-div_binary64_3464` `difference-of-sqr--1_binary64_3459` `difference-of-sqr-1_binary64_3458` `cancel-sign-sub_binary64_3453` `distribute-neg-frac_binary64_3452` `distribute-frac-neg_binary64_3451` `distribute-neg-out_binary64_3450` `associate-l/_binary64_3431`

Counts

96 → 60

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	121	1377
1	261	1182
2	883	1033
3	2076	1022
4	5197	1022

prune77.0ms (1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	58	2	60
Fresh	4	2	6
Picked	0	1	1
Done	0	1	1
Total	62	6	68

Error

Counts

68 → 6

Compiler

Compiled 1367 to 561 computations (59% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (cbrt.f64 y))
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)

rewrite70.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

18×	`cbrt-prod_binary64_3519`
9×	`add-cube-cbrt_binary64_3523` `add-sqr-sqrt_binary64_3510` `*-un-lft-identity_binary64_3488`
4×	`pow1/3_binary64_3570` `pow1_binary64_3549` `add-log-exp_binary64_3527` `add-exp-log_binary64_3526` `add-cbrt-cube_binary64_3524`

Counts

4 → 47

Calls

4 calls:

2.0ms	(cbrt.f64 (cbrt.f64 y))
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

Compiler

Compiled 1433 to 511 computations (64.3% saved)

series527.0ms (6.6%)

Error

Counts

4 → 12

Calls

4 calls:

152.0ms	(cbrt.f64 (cbrt.f64 y))
124.0ms	(cbrt.f64 y)
120.0ms	(cbrt.f64 y)
114.0ms	(cbrt.f64 y)

Compiler

Compiled 1029 to 725 computations (29.5% saved)

simplify97.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

513×	`log-prod_binary64_3574`
450×	`unswap-sqr_binary64_3456`
391×	`associate-+l+_binary64_3421`
359×	`associate-+r+_binary64_3420`
347×	`distribute-rgt-in_binary64_3438`
341×	`distribute-lft-in_binary64_3437`
328×	`distribute-rgt-neg-in_binary64_3446` `distribute-lft-neg-in_binary64_3445`
214×	`distribute-rgt-out_binary64_3441`
192×	`*-commutative_binary64_3419`
149×	`distribute-lft-out_binary64_3439`
137×	`cancel-sign-sub-inv_binary64_3454`
126×	`sqr-pow_binary64_3460`
123×	`associate-l_binary64_3429`
88×	`associate-r_binary64_3428`
84×	`log-pow_binary64_3577`
51×	`neg-sub0_binary64_3483`
50×	`neg-mul-1_binary64_3484`
38×	`pow-sqr_binary64_3461`
34×	`rem-sqrt-square_binary64_3501`
33×	`exp-prod_binary64_3540`
28×	`sub-neg_binary64_3481`
27×	`pow-plus_binary64_3551`
24×	`unpow3_binary64_3554` `unsub-neg_binary64_3482`
23×	`cube-prod_binary64_3516`
22×	`cube-unmult_binary64_3525`
19×	`distribute-rgt1-in_binary64_3444`
15×	`distribute-lft1-in_binary64_3443`
14×	`count-2_binary64_3436`
9×	`unpow2_binary64_3553` `distribute-rgt-neg-out_binary64_3448` `distribute-lft-neg-out_binary64_3447`
8×	`mul0-rgt_binary64_3471` `mul0-lft_binary64_3470`
7×	`cube-mult_binary64_3518`
5×	`associate-/l/_binary64_3435` `associate-*r/_binary64_3430`
4×	`associate-/l*_binary64_3433`
3×	`unpow1/3_binary64_3555` `unpow1_binary64_3546` `+-commutative_binary64_3418`
2×	`rem-3cbrt-lft_binary64_3513` `swap-sqr_binary64_3455` `associate-/r/_binary64_3434`
1×	`unpow1/2_binary64_3552` `1-exp_binary64_3532` `rem-cbrt-cube_binary64_3512` `times-frac_binary64_3494` `mul-1-neg_binary64_3480` `sub0-neg_binary64_3475` `--rgt-identity_binary64_3474` `associate-/r*_binary64_3432` `associate-+l-_binary64_3423`
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_3751` `erf-erfc_binary64_3750` `erf-odd_binary64_3749` `if-if-and-not_binary64_3748` `if-if-and_binary64_3747` `if-if-or-not_binary64_3746` `if-if-or_binary64_3745` `if-not_binary64_3744` `if-same_binary64_3743` `if-false_binary64_3742` `if-true_binary64_3741` `not-gte_binary64_3740` `not-lte_binary64_3739` `not-gt_binary64_3738` `not-lt_binary64_3737` `gte-same_binary64_3736` `lte-same_binary64_3735` `gt-same_binary64_3734` `lt-same_binary64_3733` `sinh---cosh_binary64_3680` `sinh-+-cosh_binary64_3679` `sinh-cosh_binary64_3678` `tanh-def-c_binary64_3677` `tanh-def-b_binary64_3676` `tanh-def-a_binary64_3675` `cosh-def_binary64_3674` `sinh-def_binary64_3673` `tan-neg_binary64_3620` `cos-neg_binary64_3619` `sin-neg_binary64_3618` `tan-0_binary64_3617` `cos-0_binary64_3616` `sin-0_binary64_3615` `hang-m-tan_binary64_3614` `hang-p-tan_binary64_3613` `hang-m0-tan_binary64_3612` `hang-p0-tan_binary64_3611` `hang-0m-tan_binary64_3610` `hang-0p-tan_binary64_3609` `tan-+PI/2_binary64_3608` `tan-+PI_binary64_3607` `tan-PI_binary64_3606` `tan-PI/3_binary64_3605` `tan-PI/4_binary64_3604` `tan-PI/6_binary64_3603` `cos-+PI/2_binary64_3602` `cos-+PI_binary64_3601` `cos-PI_binary64_3600` `cos-PI/2_binary64_3599` `cos-PI/3_binary64_3598` `cos-PI/4_binary64_3597` `cos-PI/6_binary64_3596` `sin-+PI/2_binary64_3595` `sin-+PI_binary64_3594` `sin-PI_binary64_3593` `sin-PI/2_binary64_3592` `sin-PI/3_binary64_3591` `sin-PI/4_binary64_3590` `sin-PI/6_binary64_3589` `sub-1-sin_binary64_3588` `sub-1-cos_binary64_3587` `-1-add-sin_binary64_3586` `-1-add-cos_binary64_3585` `1-sub-sin_binary64_3584` `1-sub-cos_binary64_3583` `cos-sin-sum_binary64_3582` `log-E_binary64_3578` `log-rec_binary64_3576` `log-div_binary64_3575` `pow-base-0_binary64_3572` `exp-to-pow_binary64_3550` `pow-base-1_binary64_3548` `unpow0_binary64_3547` `unpow-1_binary64_3545` `exp-lft-cube_binary64_3544` `exp-lft-sqr_binary64_3543` `exp-cbrt_binary64_3542` `exp-sqrt_binary64_3541` `div-exp_binary64_3539` `rec-exp_binary64_3538` `prod-exp_binary64_3537` `exp-diff_binary64_3536` `exp-neg_binary64_3535` `exp-sum_binary64_3534` `e-exp-1_binary64_3533` `exp-1-e_binary64_3531` `exp-0_binary64_3530` `rem-log-exp_binary64_3529` `rem-exp-log_binary64_3528` `cube-div_binary64_3517` `cube-neg_binary64_3515` `rem-3cbrt-rft_binary64_3514` `rem-cube-cbrt_binary64_3511` `sqr-abs_binary64_3503` `sqr-neg_binary64_3502` `rem-square-sqrt_binary64_3500` `div-sub_binary64_3493` `/-rgt-identity_binary64_3479` `-rgt-identity_binary64_3478` `-lft-identity_binary64_3477` `remove-double-neg_binary64_3476` `+-rgt-identity_binary64_3473` `+-lft-identity_binary64_3472` `div0_binary64_3469` `-inverses_binary64_3468` `+-inverses_binary64_3467` `lft-mult-inverse_binary64_3466` `rgt-mult-inverse_binary64_3465` `remove-double-div_binary64_3464` `difference-of-sqr--1_binary64_3459` `difference-of-sqr-1_binary64_3458` `difference-of-squares_binary64_3457` `cancel-sign-sub_binary64_3453` `distribute-neg-frac_binary64_3452` `distribute-frac-neg_binary64_3451` `distribute-neg-out_binary64_3450` `distribute-neg-in_binary64_3449` `distribute-rgt-out--_binary64_3442` `distribute-lft-out--_binary64_3440` `associate-l/_binary64_3431` `associate--r-_binary64_3427` `associate--l-_binary64_3426` `associate--l+_binary64_3425` `associate--r+_binary64_3424` `associate-+r-_binary64_3422`

Counts

59 → 22

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	38	424
1	63	424
2	158	424
3	489	376
4	976	376
5	3453	376
6	4795	376
7	4957	376
8	4718	376

prune35.0ms (0.4%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	22	0	22
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	22	6	28

Error

Counts

28 → 6

Compiler

Compiled 692 to 290 computations (58.1% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2)) (.f64 (.f64 1/3 x) (log.f64 y)))
0.3b	(*.f64 1/3 x)
0.4b	(.f64 (.f64 1/3 x) (log.f64 y))
0.6b	(cbrt.f64 y)

rewrite118.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

14×	`add-sqr-sqrt_binary64_3510`
12×	`pow1_binary64_3549` `add-cube-cbrt_binary64_3523` `*-un-lft-identity_binary64_3488` `log-prod_binary64_3574`
11×	`add-exp-log_binary64_3526` `add-cbrt-cube_binary64_3524`
7×	`associate-r_binary64_3428`
6×	`add-log-exp_binary64_3527` `distribute-rgt-in_binary64_3438` `distribute-lft-in_binary64_3437` `associate-+r+_binary64_3420`
4×	`pow-prod-down_binary64_3559` `prod-exp_binary64_3537` `cbrt-unprod_binary64_3521` `associate-l_binary64_3429`
3×	`cbrt-prod_binary64_3519`
2×	`*-commutative_binary64_3419`
1×	`pow1/3_binary64_3570` `log-pow_binary64_3577` `unswap-sqr_binary64_3456` `sum-log_binary64_3579` `flip3-+_binary64_3491` `flip-+_binary64_3462` `+-commutative_binary64_3418`

Counts

4 → 71

Calls

4 calls:

8.0ms	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2)) (.f64 (.f64 1/3 x) (log.f64 y)))
6.0ms	(.f64 (.f64 1/3 x) (log.f64 y))
4.0ms	(*.f64 1/3 x)
1.0ms	(cbrt.f64 y)

Compiler

Compiled 2010 to 1045 computations (48% saved)

series1.0s (12.6%)

Error

Counts

4 → 18

Calls

4 calls:

623.0ms	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2)) (.f64 (.f64 1/3 x) (log.f64 y)))
233.0ms	(.f64 (.f64 1/3 x) (log.f64 y))
110.0ms	(cbrt.f64 y)
30.0ms	(*.f64 1/3 x)

Compiler

Compiled 1233 to 960 computations (22.1% saved)

simplify108.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

445×	`*-commutative_binary64_3419`
302×	`distribute-rgt-in_binary64_3438`
282×	`log-prod_binary64_3574`
238×	`associate-l_binary64_3429`
237×	`distribute-lft-in_binary64_3437`
222×	`cancel-sign-sub-inv_binary64_3454`
206×	`associate-r_binary64_3428`
200×	`distribute-rgt-out_binary64_3441`
175×	`cancel-sign-sub_binary64_3453`
162×	`distribute-rgt-neg-in_binary64_3446`
143×	`cube-prod_binary64_3516`
141×	`distribute-lft-neg-in_binary64_3445`
138×	`unswap-sqr_binary64_3456`
135×	`unsub-neg_binary64_3482`
116×	`exp-prod_binary64_3540` `swap-sqr_binary64_3455`
113×	`sqr-pow_binary64_3460`
111×	`distribute-lft-out_binary64_3439`
96×	`sub-neg_binary64_3481`
92×	`exp-sum_binary64_3534`
75×	`neg-sub0_binary64_3483`
74×	`neg-mul-1_binary64_3484`
59×	`distribute-rgt-out--_binary64_3442`
57×	`log-div_binary64_3575`
41×	`exp-to-pow_binary64_3550`
39×	`log-pow_binary64_3577`
38×	`+-commutative_binary64_3418`
33×	`associate-+r+_binary64_3420`
32×	`distribute-lft-out--_binary64_3440` `associate-+l+_binary64_3421`
28×	`associate-/r*_binary64_3432`
24×	`div-sub_binary64_3493` `pow-sqr_binary64_3461`
22×	`distribute-lft-neg-out_binary64_3447`
17×	`exp-diff_binary64_3536`
16×	`*-lft-identity_binary64_3477`
15×	`associate-+r-_binary64_3422`
14×	`unpow3_binary64_3554` `*-rgt-identity_binary64_3478` `distribute-rgt1-in_binary64_3444`
12×	`distribute-rgt-neg-out_binary64_3448` `associate--r+_binary64_3424`
11×	`cube-mult_binary64_3518`
9×	`+-rgt-identity_binary64_3473` `distribute-neg-in_binary64_3449` `associate-/l*_binary64_3433` `associate-+l-_binary64_3423`
7×	`log-rec_binary64_3576` `unpow1/3_binary64_3555` `cube-neg_binary64_3515` `sqr-neg_binary64_3502`
6×	`remove-double-neg_binary64_3476` `associate--l+_binary64_3425`
5×	`exp-lft-sqr_binary64_3543` `cube-unmult_binary64_3525` `count-2_binary64_3436`
4×	`rem-sqrt-square_binary64_3501` `sub0-neg_binary64_3475` `difference-of-squares_binary64_3457`
3×	`rec-exp_binary64_3538` `exp-neg_binary64_3535` `+-inverses_binary64_3467` `associate--r-_binary64_3427`
2×	`pow-plus_binary64_3551` `prod-exp_binary64_3537` `mul0-rgt_binary64_3471` `mul0-lft_binary64_3470` `distribute-lft1-in_binary64_3443`
1×	`unpow1/2_binary64_3552` `1-exp_binary64_3532` `exp-1-e_binary64_3531` `rem-exp-log_binary64_3528` `rem-3cbrt-lft_binary64_3513` `mul-1-neg_binary64_3480` `/-rgt-identity_binary64_3479` `--rgt-identity_binary64_3474`
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_3751` `erf-erfc_binary64_3750` `erf-odd_binary64_3749` `if-if-and-not_binary64_3748` `if-if-and_binary64_3747` `if-if-or-not_binary64_3746` `if-if-or_binary64_3745` `if-not_binary64_3744` `if-same_binary64_3743` `if-false_binary64_3742` `if-true_binary64_3741` `not-gte_binary64_3740` `not-lte_binary64_3739` `not-gt_binary64_3738` `not-lt_binary64_3737` `gte-same_binary64_3736` `lte-same_binary64_3735` `gt-same_binary64_3734` `lt-same_binary64_3733` `sinh---cosh_binary64_3680` `sinh-+-cosh_binary64_3679` `sinh-cosh_binary64_3678` `tanh-def-c_binary64_3677` `tanh-def-b_binary64_3676` `tanh-def-a_binary64_3675` `cosh-def_binary64_3674` `sinh-def_binary64_3673` `tan-neg_binary64_3620` `cos-neg_binary64_3619` `sin-neg_binary64_3618` `tan-0_binary64_3617` `cos-0_binary64_3616` `sin-0_binary64_3615` `hang-m-tan_binary64_3614` `hang-p-tan_binary64_3613` `hang-m0-tan_binary64_3612` `hang-p0-tan_binary64_3611` `hang-0m-tan_binary64_3610` `hang-0p-tan_binary64_3609` `tan-+PI/2_binary64_3608` `tan-+PI_binary64_3607` `tan-PI_binary64_3606` `tan-PI/3_binary64_3605` `tan-PI/4_binary64_3604` `tan-PI/6_binary64_3603` `cos-+PI/2_binary64_3602` `cos-+PI_binary64_3601` `cos-PI_binary64_3600` `cos-PI/2_binary64_3599` `cos-PI/3_binary64_3598` `cos-PI/4_binary64_3597` `cos-PI/6_binary64_3596` `sin-+PI/2_binary64_3595` `sin-+PI_binary64_3594` `sin-PI_binary64_3593` `sin-PI/2_binary64_3592` `sin-PI/3_binary64_3591` `sin-PI/4_binary64_3590` `sin-PI/6_binary64_3589` `sub-1-sin_binary64_3588` `sub-1-cos_binary64_3587` `-1-add-sin_binary64_3586` `-1-add-cos_binary64_3585` `1-sub-sin_binary64_3584` `1-sub-cos_binary64_3583` `cos-sin-sum_binary64_3582` `log-E_binary64_3578` `pow-base-0_binary64_3572` `unpow2_binary64_3553` `pow-base-1_binary64_3548` `unpow0_binary64_3547` `unpow1_binary64_3546` `unpow-1_binary64_3545` `exp-lft-cube_binary64_3544` `exp-cbrt_binary64_3542` `exp-sqrt_binary64_3541` `div-exp_binary64_3539` `e-exp-1_binary64_3533` `exp-0_binary64_3530` `rem-log-exp_binary64_3529` `cube-div_binary64_3517` `rem-3cbrt-rft_binary64_3514` `rem-cbrt-cube_binary64_3512` `rem-cube-cbrt_binary64_3511` `sqr-abs_binary64_3503` `rem-square-sqrt_binary64_3500` `times-frac_binary64_3494` `+-lft-identity_binary64_3472` `div0_binary64_3469` `-inverses_binary64_3468` `lft-mult-inverse_binary64_3466` `rgt-mult-inverse_binary64_3465` `remove-double-div_binary64_3464` `difference-of-sqr--1_binary64_3459` `difference-of-sqr-1_binary64_3458` `distribute-neg-frac_binary64_3452` `distribute-frac-neg_binary64_3451` `distribute-neg-out_binary64_3450` `associate-/l/_binary64_3435` `associate-/r/_binary64_3434` `associate-l/_binary64_3431` `associate-*r/_binary64_3430` `associate--l-_binary64_3426`

Counts

89 → 57

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	153	1255
1	358	938
2	1235	824
3	3265	824
4	4800	824
5	4933	824

prune58.0ms (0.7%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	57	0	57
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	57	6	63

Error

Counts

63 → 6

Compiler

Compiled 1235 to 533 computations (56.8% saved)

regimes685.0ms (8.5%)

Accuracy

Total 0.1b remaining (92.8%)

Threshold costs 0.1b (92.8%)

Compiler

Compiled 6470 to 4956 computations (23.4% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

5×	`+-commutative_binary64_3418`
4×	`sub-neg_binary64_3481`
3×	`*-commutative_binary64_3419`
2×	`neg-mul-1_binary64_3484` `neg-sub0_binary64_3483`
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_3748` `if-if-and_binary64_3747` `if-if-or-not_binary64_3746` `if-if-or_binary64_3745` `if-not_binary64_3744` `if-same_binary64_3743` `if-false_binary64_3742` `if-true_binary64_3741` `tan-0_binary64_3617` `cos-0_binary64_3616` `sin-0_binary64_3615` `unpow1_binary64_3546` `e-exp-1_binary64_3533` `1-exp_binary64_3532` `exp-1-e_binary64_3531` `exp-0_binary64_3530` `sqr-abs_binary64_3503` `sqr-neg_binary64_3502` `unsub-neg_binary64_3482` `mul-1-neg_binary64_3480` `/-rgt-identity_binary64_3479` `-rgt-identity_binary64_3478` `-lft-identity_binary64_3477` `remove-double-neg_binary64_3476` `sub0-neg_binary64_3475` `--rgt-identity_binary64_3474` `+-rgt-identity_binary64_3473` `+-lft-identity_binary64_3472` `cancel-sign-sub-inv_binary64_3454` `cancel-sign-sub_binary64_3453` `distribute-neg-frac_binary64_3452` `distribute-frac-neg_binary64_3451` `distribute-neg-out_binary64_3450` `distribute-neg-in_binary64_3449` `distribute-rgt-neg-out_binary64_3448` `distribute-lft-neg-out_binary64_3447` `distribute-rgt-neg-in_binary64_3446` `distribute-lft-neg-in_binary64_3445`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	17
1	17	17
2	25	17
3	29	17
4	31	17
5	31	17

end0.0ms (0%)

sample1.5s (19.2%)

Algorithm

1×

intervals

Results

459.0ms	7999×	body	128	valid
18.0ms	363×	body	128	nan
2.0ms	41×	body	128	invalid
0.0ms	1×	body	512	valid

Compiler

Compiled 824 to 633 computations (23.2% saved)

Details

analyze569.0ms (7.1%)

sample27.0ms (0.3%)

simplify253.0ms (3.1%)

prune2.0ms (0%)

localize10.0ms (0.1%)

rewrite115.0ms (1.4%)

series1.2s (15%)

simplify117.0ms (1.5%)

prune94.0ms (1.2%)

localize15.0ms (0.2%)

rewrite128.0ms (1.6%)

series1.1s (13.1%)

simplify73.0ms (0.9%)

prune77.0ms (1%)

localize19.0ms (0.2%)

rewrite70.0ms (0.9%)

series527.0ms (6.6%)

simplify97.0ms (1.2%)

prune35.0ms (0.4%)

localize18.0ms (0.2%)

rewrite118.0ms (1.5%)

series1.0s (12.6%)

simplify108.0ms (1.3%)

prune58.0ms (0.7%)

regimes685.0ms (8.5%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.5s (19.2%)

Profiling