Details

analyze420.0ms (8%)

Algorithm

1×	search
2×	egg-herbie

Rules

1247×	`unsub-neg_binary64_3482`
738×	`neg-mul-1_binary64_3484`
694×	`neg-sub0_binary64_3483`
665×	`distribute-neg-out_binary64_3450`
568×	`sub-neg_binary64_3481`
480×	`+-commutative_binary64_3418`
403×	`remove-double-neg_binary64_3476`
309×	`distribute-rgt-neg-in_binary64_3446`
303×	`distribute-lft-neg-out_binary64_3447`
251×	`cancel-sign-sub-inv_binary64_3454`
249×	`distribute-rgt-in_binary64_3438`
246×	`associate-+l-_binary64_3423`
216×	`distribute-neg-in_binary64_3449`
200×	`distribute-rgt-neg-out_binary64_3448`
196×	`distribute-rgt-out_binary64_3441`
195×	`associate--l-_binary64_3426`
186×	`distribute-lft-in_binary64_3437`
172×	`associate-+r-_binary64_3422`
133×	`associate-+r+_binary64_3420`
126×	`associate-+l+_binary64_3421`
122×	`associate-l_binary64_3429`
112×	`associate--r-_binary64_3427`
104×	`associate-r_binary64_3428`
83×	`sub0-neg_binary64_3475`
74×	`distribute-lft-out_binary64_3439`
72×	`associate--r+_binary64_3424`
66×	`*-commutative_binary64_3419`
34×	`distribute-rgt-out--_binary64_3442`
30×	`mul0-lft_binary64_3470` `sqr-pow_binary64_3460`
28×	`mul0-rgt_binary64_3471`
21×	`+-lft-identity_binary64_3472`
20×	`+-rgt-identity_binary64_3473` `distribute-lft-neg-in_binary64_3445`
17×	`*-lft-identity_binary64_3477`
9×	`distribute-lft1-in_binary64_3443`
8×	`cube-prod_binary64_3516` `sqr-neg_binary64_3502` `--rgt-identity_binary64_3474`
7×	`*-rgt-identity_binary64_3478` `count-2_binary64_3436`
6×	`swap-sqr_binary64_3455`
5×	`distribute-rgt1-in_binary64_3444`
4×	`cube-unmult_binary64_3525` `cube-neg_binary64_3515` `+-inverses_binary64_3467` `distribute-lft-out--_binary64_3440`
2×	`difference-of-squares_binary64_3457` `unswap-sqr_binary64_3456` `cancel-sign-sub_binary64_3453`
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` `log-prod_binary64_3574` `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-mult_binary64_3518` `cube-div_binary64_3517` `rem-3cbrt-rft_binary64_3514` `rem-3cbrt-lft_binary64_3513` `rem-cbrt-cube_binary64_3512` `rem-cube-cbrt_binary64_3511` `sqr-abs_binary64_3503` `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` `lft-mult-inverse_binary64_3466` `rgt-mult-inverse_binary64_3465` `remove-double-div_binary64_3464` `pow-sqr_binary64_3461` `difference-of-sqr--1_binary64_3459` `difference-of-sqr-1_binary64_3458` `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` `associate--l+_binary64_3425`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	76
1	40	66
2	90	66
3	201	40
4	484	40
5	1426	40
6	2752	40
7	3907	40
8	4300	40
9	4446	40
10	4451	40
11	4466	40
12	4376	40
13	5194	40
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
25%	74.9%	0.1%	6
31.2%	50%	18.8%	7
34.3%	43.7%	22%	8
45.3%	26.5%	28.2%	9
46.8%	23.4%	29.8%	10
48.8%	14%	37.2%	11
49.8%	12.1%	38.1%	12
52.8%	7.1%	40.1%	13
53.3%	6.1%	40.6%	14

Compiler

Compiled 20 to 12 computations (40% saved)

sample22.0ms (0.4%)

Algorithm

1×

intervals

Results

11.0ms	256×	body	128	valid
1.0ms	13×	body	128	invalid

Compiler

Compiled 39 to 25 computations (35.9% saved)

simplify159.0ms (3%)

Algorithm

1×	egg-herbie

Rules

952×	`unsub-neg_binary64_3482`
743×	`sub-neg_binary64_3481`
539×	`distribute-rgt-out_binary64_3441`
467×	`+-commutative_binary64_3418`
464×	`distribute-neg-in_binary64_3449`
353×	`neg-mul-1_binary64_3484`
350×	`distribute-rgt-in_binary64_3438`
349×	`neg-sub0_binary64_3483`
291×	`distribute-lft-neg-out_binary64_3447`
260×	`distribute-lft-out--_binary64_3440`
251×	`cancel-sign-sub-inv_binary64_3454`
243×	`distribute-lft-in_binary64_3437`
242×	`associate-+l-_binary64_3423`
227×	`distribute-rgt-neg-in_binary64_3446`
218×	`distribute-rgt-out--_binary64_3442`
207×	`distribute-rgt-neg-out_binary64_3448`
194×	`remove-double-neg_binary64_3476`
190×	`associate--r+_binary64_3424`
166×	`distribute-neg-out_binary64_3450`
161×	`associate--l+_binary64_3425`
141×	`distribute-lft-out_binary64_3439`
139×	`associate-+r-_binary64_3422`
138×	`distribute-lft-neg-in_binary64_3445`
116×	`unswap-sqr_binary64_3456`
109×	`associate-l_binary64_3429`
101×	`*-commutative_binary64_3419`
100×	`associate-r_binary64_3428`
84×	`sub0-neg_binary64_3475`
72×	`associate--l-_binary64_3426` `associate-+l+_binary64_3421`
70×	`associate-+r+_binary64_3420`
62×	`mul0-rgt_binary64_3471` `mul0-lft_binary64_3470`
42×	`associate--r-_binary64_3427`
36×	`sqr-pow_binary64_3460`
21×	`+-rgt-identity_binary64_3473`
11×	`+-lft-identity_binary64_3472`
10×	`cancel-sign-sub_binary64_3453`
9×	`cube-unmult_binary64_3525` `cube-prod_binary64_3516`
8×	`--rgt-identity_binary64_3474` `pow-sqr_binary64_3461` `distribute-rgt1-in_binary64_3444`
6×	`unpow3_binary64_3554` `sqr-neg_binary64_3502` `distribute-lft1-in_binary64_3443`
5×	`pow-plus_binary64_3551` `*-rgt-identity_binary64_3478` `count-2_binary64_3436`
4×	`cube-neg_binary64_3515` `*-lft-identity_binary64_3477`
3×	`unpow2_binary64_3553` `mul-1-neg_binary64_3480` `+-inverses_binary64_3467` `difference-of-squares_binary64_3457`
2×	`unpow1_binary64_3546`
1×	`unpow1/2_binary64_3552` `1-exp_binary64_3532` `swap-sqr_binary64_3455`
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` `log-prod_binary64_3574` `pow-base-0_binary64_3572` `unpow1/3_binary64_3555` `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` `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-mult_binary64_3518` `cube-div_binary64_3517` `rem-3cbrt-rft_binary64_3514` `rem-3cbrt-lft_binary64_3513` `rem-cbrt-cube_binary64_3512` `rem-cube-cbrt_binary64_3511` `sqr-abs_binary64_3503` `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` `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` `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 → 1

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	14	38
1	25	33
2	55	33
3	116	20
4	263	20
5	631	20
6	1195	20
7	2783	20
8	3808	20
9	4029	20
10	4107	20
11	4146	20
12	4222	20
13	4648	20
14	4915	20

prune5.0ms (0.1%)

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 41 to 29 computations (29.3% saved)

localize11.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (.f64 x.re (.f64 (*.f64 x.re x.im) 3)) (pow.f64 x.im 3))
0.2b	(.f64 x.re (.f64 (*.f64 x.re x.im) 3))
0.3b	(.f64 (.f64 x.re x.im) 3)

rewrite100.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

17×	`pow1_binary64_3549` `add-exp-log_binary64_3526` `add-cbrt-cube_binary64_3524`
12×	`cancel-sign-sub-inv_binary64_3454`
9×	`pow-prod-down_binary64_3559` `prod-exp_binary64_3537` `cbrt-unprod_binary64_3521`
8×	`add-cube-cbrt_binary64_3523` `add-sqr-sqrt_binary64_3510` `*-un-lft-identity_binary64_3488`
5×	`add-log-exp_binary64_3527`
4×	`associate-l_binary64_3429` `associate-r_binary64_3428`
3×	`unpow-prod-down_binary64_3567` `cube-prod_binary64_3516`
2×	`*-commutative_binary64_3419`
1×	`diff-log_binary64_3580` `flip3--_binary64_3492` `sub-neg_binary64_3481` `flip--_binary64_3463` `unpow3_binary64_3554` `cube-mult_binary64_3518` `sqr-pow_binary64_3460`

Counts

3 → 62

Calls

3 calls:

10.0ms	(-.f64 (.f64 x.re (.f64 (*.f64 x.re x.im) 3)) (pow.f64 x.im 3))
7.0ms	(.f64 x.re (.f64 (*.f64 x.re x.im) 3))
6.0ms	(.f64 (.f64 x.re x.im) 3)

Compiler

Compiled 1135 to 665 computations (41.4% saved)

series454.0ms (8.7%)

Error

0.1b

Counts

3 → 24

Calls

3 calls:

239.0ms	(-.f64 (.f64 x.re (.f64 (*.f64 x.re x.im) 3)) (pow.f64 x.im 3))
113.0ms	(.f64 x.re (.f64 (*.f64 x.re x.im) 3))
82.0ms	(.f64 (.f64 x.re x.im) 3)

Compiler

Compiled 666 to 549 computations (17.6% saved)

simplify129.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

547×	`*-commutative_binary64_3419`
480×	`exp-prod_binary64_3540`
326×	`cancel-sign-sub-inv_binary64_3454`
323×	`unswap-sqr_binary64_3456`
238×	`sqr-pow_binary64_3460`
237×	`associate-l_binary64_3429` `associate-r_binary64_3428`
211×	`cube-prod_binary64_3516`
184×	`swap-sqr_binary64_3455`
136×	`log-prod_binary64_3574`
113×	`unpow3_binary64_3554`
94×	`difference-of-squares_binary64_3457`
63×	`pow-sqr_binary64_3461`
61×	`unsub-neg_binary64_3482`
54×	`distribute-lft-neg-in_binary64_3445`
53×	`distribute-rgt-neg-in_binary64_3446`
51×	`exp-sum_binary64_3534` `distribute-lft-in_binary64_3437`
50×	`neg-mul-1_binary64_3484` `distribute-rgt-in_binary64_3438`
49×	`neg-sub0_binary64_3483`
43×	`pow-plus_binary64_3551`
35×	`distribute-rgt-out_binary64_3441`
34×	`cube-mult_binary64_3518` `associate-+r+_binary64_3420`
33×	`sub-neg_binary64_3481`
31×	`associate-+l+_binary64_3421`
29×	`distribute-lft-neg-out_binary64_3447`
25×	`+-commutative_binary64_3418`
24×	`times-frac_binary64_3494` `distribute-lft-out_binary64_3439`
18×	`mul0-rgt_binary64_3471` `mul0-lft_binary64_3470`
16×	`distribute-rgt-neg-out_binary64_3448`
14×	`cube-unmult_binary64_3525`
12×	`log-pow_binary64_3577`
11×	`rem-sqrt-square_binary64_3501` `*-rgt-identity_binary64_3478`
10×	`exp-neg_binary64_3535` `associate-/l*_binary64_3433`
8×	`unpow-1_binary64_3545` `exp-lft-cube_binary64_3544` `exp-diff_binary64_3536`
5×	`unpow2_binary64_3553` `unpow1/2_binary64_3552` `*-lft-identity_binary64_3477`
4×	`prod-exp_binary64_3537`
3×	`sub0-neg_binary64_3475` `+-rgt-identity_binary64_3473` `distribute-lft-out--_binary64_3440` `associate-+l-_binary64_3423` `associate-+r-_binary64_3422`
2×	`rem-square-sqrt_binary64_3500` `distribute-rgt-out--_binary64_3442`
1×	`unpow1_binary64_3546` `div-exp_binary64_3539` `1-exp_binary64_3532` `exp-1-e_binary64_3531` `rem-cbrt-cube_binary64_3512` `rem-cube-cbrt_binary64_3511` `sqr-neg_binary64_3502` `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-rec_binary64_3576` `log-div_binary64_3575` `pow-base-0_binary64_3572` `unpow1/3_binary64_3555` `exp-to-pow_binary64_3550` `pow-base-1_binary64_3548` `unpow0_binary64_3547` `exp-lft-sqr_binary64_3543` `exp-cbrt_binary64_3542` `exp-sqrt_binary64_3541` `rec-exp_binary64_3538` `e-exp-1_binary64_3533` `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-3cbrt-lft_binary64_3513` `sqr-abs_binary64_3503` `div-sub_binary64_3493` `mul-1-neg_binary64_3480` `/-rgt-identity_binary64_3479` `remove-double-neg_binary64_3476` `--rgt-identity_binary64_3474` `+-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` `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-rgt1-in_binary64_3444` `distribute-lft1-in_binary64_3443` `associate-/l/_binary64_3435` `associate-/r/_binary64_3434` `associate-/r_binary64_3432` `associate-l/_binary64_3431` `associate-r/_binary64_3430` `associate--r-_binary64_3427` `associate--l-_binary64_3426` `associate--l+_binary64_3425` `associate--r+_binary64_3424`

Counts

86 → 56

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	120	1271
1	275	1187
2	1158	1169
3	2732	1166
4	4821	1162
5	4976	1162
6	4911	1162

prune75.0ms (1.4%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	50	6	56
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	51	7	58

Error

0.0b

Counts

58 → 7

Compiler

Compiled 942 to 666 computations (29.3% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (.f64 x.re (.f64 x.re (*.f64 3 x.im))) (pow.f64 x.im 3))
0.2b	(.f64 x.re (.f64 x.re (*.f64 3 x.im)))
0.2b	(.f64 x.re (.f64 3 x.im))

rewrite96.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

17×	`pow1_binary64_3549` `add-exp-log_binary64_3526` `add-cbrt-cube_binary64_3524`
12×	`cancel-sign-sub-inv_binary64_3454`
9×	`pow-prod-down_binary64_3559` `prod-exp_binary64_3537` `cbrt-unprod_binary64_3521`
8×	`add-cube-cbrt_binary64_3523` `add-sqr-sqrt_binary64_3510` `*-un-lft-identity_binary64_3488`
6×	`associate-l_binary64_3429`
5×	`add-log-exp_binary64_3527`
3×	`unpow-prod-down_binary64_3567` `cube-prod_binary64_3516`
2×	`associate-r_binary64_3428` `*-commutative_binary64_3419`
1×	`diff-log_binary64_3580` `flip3--_binary64_3492` `sub-neg_binary64_3481` `flip--_binary64_3463` `unpow3_binary64_3554` `cube-mult_binary64_3518` `sqr-pow_binary64_3460`

Counts

3 → 62

Calls

3 calls:

11.0ms	(-.f64 (.f64 x.re (.f64 x.re (*.f64 3 x.im))) (pow.f64 x.im 3))
7.0ms	(.f64 x.re (.f64 x.re (*.f64 3 x.im)))
5.0ms	(.f64 x.re (.f64 3 x.im))

Compiler

Compiled 1135 to 736 computations (35.2% saved)

series425.0ms (8.1%)

Error

0.0b

Counts

3 → 24

Calls

3 calls:

217.0ms	(-.f64 (.f64 x.re (.f64 x.re (*.f64 3 x.im))) (pow.f64 x.im 3))
110.0ms	(.f64 x.re (.f64 x.re (*.f64 3 x.im)))
80.0ms	(.f64 x.re (.f64 3 x.im))

Compiler

Compiled 666 to 549 computations (17.6% saved)

simplify104.0ms (2%)

Algorithm

1×	egg-herbie

Rules

529×	`*-commutative_binary64_3419`
353×	`cancel-sign-sub-inv_binary64_3454`
335×	`exp-prod_binary64_3540`
249×	`associate-r_binary64_3428`
241×	`distribute-rgt-neg-in_binary64_3446`
240×	`unswap-sqr_binary64_3456`
220×	`sqr-pow_binary64_3460`
198×	`swap-sqr_binary64_3455`
196×	`associate-l_binary64_3429`
190×	`cube-prod_binary64_3516`
120×	`log-prod_binary64_3574`
115×	`unpow3_binary64_3554`
94×	`difference-of-squares_binary64_3457`
64×	`unsub-neg_binary64_3482`
53×	`distribute-lft-neg-in_binary64_3445`
51×	`exp-sum_binary64_3534` `distribute-lft-in_binary64_3437`
50×	`neg-mul-1_binary64_3484` `distribute-rgt-in_binary64_3438`
49×	`neg-sub0_binary64_3483` `distribute-rgt-out_binary64_3441`
47×	`pow-sqr_binary64_3461`
38×	`distribute-lft-neg-out_binary64_3447`
35×	`cube-mult_binary64_3518` `sub-neg_binary64_3481`
29×	`+-commutative_binary64_3418`
26×	`distribute-rgt-neg-out_binary64_3448` `associate-+l+_binary64_3421` `associate-+r+_binary64_3420`
23×	`pow-plus_binary64_3551`
18×	`mul0-rgt_binary64_3471` `mul0-lft_binary64_3470` `distribute-lft-out_binary64_3439` `associate-/l*_binary64_3433`
14×	`cube-unmult_binary64_3525`
12×	`times-frac_binary64_3494`
11×	`rem-sqrt-square_binary64_3501`
10×	`exp-neg_binary64_3535`
9×	`distribute-rgt-out--_binary64_3442`
8×	`log-pow_binary64_3577` `exp-lft-cube_binary64_3544` `exp-diff_binary64_3536`
4×	`associate-+r-_binary64_3422`
3×	`sub0-neg_binary64_3475` `+-rgt-identity_binary64_3473` `associate-+l-_binary64_3423`
2×	`rem-square-sqrt_binary64_3500` `distribute-neg-in_binary64_3449` `distribute-lft-out--_binary64_3440` `count-2_binary64_3436`
1×	`unpow2_binary64_3553` `unpow1/2_binary64_3552` `unpow1_binary64_3546` `div-exp_binary64_3539` `prod-exp_binary64_3537` `1-exp_binary64_3532` `rem-cbrt-cube_binary64_3512` `rem-cube-cbrt_binary64_3511` `sqr-neg_binary64_3502`
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` `unpow1/3_binary64_3555` `exp-to-pow_binary64_3550` `pow-base-1_binary64_3548` `unpow0_binary64_3547` `unpow-1_binary64_3545` `exp-lft-sqr_binary64_3543` `exp-cbrt_binary64_3542` `exp-sqrt_binary64_3541` `rec-exp_binary64_3538` `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-3cbrt-lft_binary64_3513` `sqr-abs_binary64_3503` `div-sub_binary64_3493` `mul-1-neg_binary64_3480` `/-rgt-identity_binary64_3479` `-rgt-identity_binary64_3478` `-lft-identity_binary64_3477` `remove-double-neg_binary64_3476` `--rgt-identity_binary64_3474` `+-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` `cancel-sign-sub_binary64_3453` `distribute-neg-frac_binary64_3452` `distribute-frac-neg_binary64_3451` `distribute-neg-out_binary64_3450` `distribute-rgt1-in_binary64_3444` `distribute-lft1-in_binary64_3443` `associate-/l/_binary64_3435` `associate-/r/_binary64_3434` `associate-/r_binary64_3432` `associate-l/_binary64_3431` `associate-r/_binary64_3430` `associate--r-_binary64_3427` `associate--l-_binary64_3426` `associate--l+_binary64_3425` `associate--r+_binary64_3424`

Counts

86 → 56

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	115	1265
1	270	1175
2	1096	1163
3	2535	1160
4	4927	1160
5	4914	1160

prune63.0ms (1.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	54	2	56
Fresh	2	4	6
Picked	0	1	1
Done	0	0	0
Total	56	7	63

Error

0.0b

Counts

63 → 7

Compiler

Compiled 936 to 661 computations (29.4% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (.f64 x.re (.f64 (*.f64 3 x.re) x.im)) (pow.f64 x.im 3))
0.2b	(.f64 x.re (.f64 (*.f64 3 x.re) x.im))
0.2b	(.f64 (.f64 3 x.re) x.im)

rewrite94.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

17×	`pow1_binary64_3549` `add-exp-log_binary64_3526` `add-cbrt-cube_binary64_3524`
12×	`cancel-sign-sub-inv_binary64_3454`
9×	`pow-prod-down_binary64_3559` `prod-exp_binary64_3537` `cbrt-unprod_binary64_3521`
8×	`add-cube-cbrt_binary64_3523` `add-sqr-sqrt_binary64_3510` `*-un-lft-identity_binary64_3488`
5×	`add-log-exp_binary64_3527`
4×	`associate-l_binary64_3429` `associate-r_binary64_3428`
3×	`unpow-prod-down_binary64_3567` `cube-prod_binary64_3516`
2×	`*-commutative_binary64_3419`
1×	`diff-log_binary64_3580` `flip3--_binary64_3492` `sub-neg_binary64_3481` `flip--_binary64_3463` `unpow3_binary64_3554` `cube-mult_binary64_3518` `sqr-pow_binary64_3460`

Counts

3 → 62

Calls

3 calls:

13.0ms	(-.f64 (.f64 x.re (.f64 (*.f64 3 x.re) x.im)) (pow.f64 x.im 3))
7.0ms	(.f64 x.re (.f64 (*.f64 3 x.re) x.im))
6.0ms	(.f64 (.f64 3 x.re) x.im)

Compiler

Compiled 1135 to 737 computations (35.1% saved)

series431.0ms (8.2%)

Error

0.0b

Counts

3 → 24

Calls

3 calls:

234.0ms	(-.f64 (.f64 x.re (.f64 (*.f64 3 x.re) x.im)) (pow.f64 x.im 3))
100.0ms	(.f64 x.re (.f64 (*.f64 3 x.re) x.im))
80.0ms	(.f64 (.f64 3 x.re) x.im)

Compiler

Compiled 666 to 549 computations (17.6% saved)

simplify106.0ms (2%)

Algorithm

1×	egg-herbie

Rules

598×	`*-commutative_binary64_3419`
505×	`exp-prod_binary64_3540`
274×	`difference-of-squares_binary64_3457`
272×	`associate-r_binary64_3428`
269×	`unswap-sqr_binary64_3456`
241×	`sqr-pow_binary64_3460` `associate-l_binary64_3429`
237×	`cube-prod_binary64_3516`
174×	`log-prod_binary64_3574`
121×	`unpow3_binary64_3554`
98×	`cancel-sign-sub-inv_binary64_3454`
79×	`distribute-rgt-out_binary64_3441`
72×	`swap-sqr_binary64_3455`
70×	`unsub-neg_binary64_3482`
53×	`distribute-lft-neg-in_binary64_3445`
52×	`distribute-rgt-neg-in_binary64_3446`
51×	`exp-sum_binary64_3534` `pow-sqr_binary64_3461` `distribute-lft-in_binary64_3437`
50×	`neg-mul-1_binary64_3484` `distribute-rgt-in_binary64_3438`
49×	`neg-sub0_binary64_3483`
39×	`cube-mult_binary64_3518` `sub-neg_binary64_3481`
33×	`pow-plus_binary64_3551`
32×	`associate-+l+_binary64_3421`
30×	`associate-+r+_binary64_3420`
29×	`distribute-lft-neg-out_binary64_3447`
28×	`+-commutative_binary64_3418`
18×	`mul0-rgt_binary64_3471` `mul0-lft_binary64_3470` `associate-/l*_binary64_3433`
17×	`distribute-rgt-out--_binary64_3442`
16×	`distribute-rgt-neg-out_binary64_3448`
14×	`cube-unmult_binary64_3525` `distribute-lft-out_binary64_3439`
12×	`times-frac_binary64_3494`
11×	`rem-sqrt-square_binary64_3501`
10×	`exp-lft-cube_binary64_3544` `exp-neg_binary64_3535`
8×	`log-pow_binary64_3577` `exp-diff_binary64_3536` `*-rgt-identity_binary64_3478`
6×	`*-lft-identity_binary64_3477`
5×	`unpow2_binary64_3553` `unpow1/2_binary64_3552` `associate-+r-_binary64_3422`
4×	`+-rgt-identity_binary64_3473`
3×	`sub0-neg_binary64_3475` `associate-+l-_binary64_3423`
2×	`prod-exp_binary64_3537` `rem-square-sqrt_binary64_3500` `count-2_binary64_3436`
1×	`unpow1_binary64_3546` `div-exp_binary64_3539` `1-exp_binary64_3532` `exp-1-e_binary64_3531` `rem-cbrt-cube_binary64_3512` `rem-cube-cbrt_binary64_3511` `sqr-neg_binary64_3502` `distribute-lft-out--_binary64_3440`
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` `unpow1/3_binary64_3555` `exp-to-pow_binary64_3550` `pow-base-1_binary64_3548` `unpow0_binary64_3547` `unpow-1_binary64_3545` `exp-lft-sqr_binary64_3543` `exp-cbrt_binary64_3542` `exp-sqrt_binary64_3541` `rec-exp_binary64_3538` `e-exp-1_binary64_3533` `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-3cbrt-lft_binary64_3513` `sqr-abs_binary64_3503` `div-sub_binary64_3493` `mul-1-neg_binary64_3480` `/-rgt-identity_binary64_3479` `remove-double-neg_binary64_3476` `--rgt-identity_binary64_3474` `+-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` `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-rgt1-in_binary64_3444` `distribute-lft1-in_binary64_3443` `associate-/l/_binary64_3435` `associate-/r/_binary64_3434` `associate-/r_binary64_3432` `associate-l/_binary64_3431` `associate-r/_binary64_3430` `associate--r-_binary64_3427` `associate--l-_binary64_3426` `associate--l+_binary64_3425` `associate--r+_binary64_3424`

Counts

86 → 55

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	117	1300
1	279	1187
2	1223	1173
3	2833	1163
4	4860	1158
5	4956	1158

prune61.0ms (1.2%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	55	0	55
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	55	7	62

Error

0.0b

Counts

62 → 7

Compiler

Compiled 905 to 644 computations (28.8% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 x.re) (cbrt.f64 x.re))
0.6b	(cbrt.f64 x.re)
0.6b	(cbrt.f64 x.re)
0.6b	(cbrt.f64 x.re)

rewrite102.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

25×	`cbrt-prod_binary64_3519`
23×	`add-sqr-sqrt_binary64_3510`
15×	`add-cube-cbrt_binary64_3523` `*-un-lft-identity_binary64_3488`
11×	`pow1_binary64_3549`
9×	`pow1/3_binary64_3570`
6×	`add-exp-log_binary64_3526` `swap-sqr_binary64_3455` `associate-l_binary64_3429` `associate-r_binary64_3428`
4×	`add-log-exp_binary64_3527` `add-cbrt-cube_binary64_3524` `unswap-sqr_binary64_3456`
2×	`pow-prod-down_binary64_3559` `pow-prod-up_binary64_3558` `pow-sqr_binary64_3461`
1×	`pow2_binary64_3569` `pow-plus_binary64_3551` `prod-exp_binary64_3537` `cbrt-unprod_binary64_3521` `*-commutative_binary64_3419`

Counts

4 → 73

Calls

4 calls:

7.0ms	(*.f64 (cbrt.f64 x.re) (cbrt.f64 x.re))
1.0ms	(cbrt.f64 x.re)
1.0ms	(cbrt.f64 x.re)
1.0ms	(cbrt.f64 x.re)

Compiler

Compiled 1670 to 744 computations (55.4% saved)

series484.0ms (9.3%)

Error

0.0b

Counts

4 → 12

Calls

4 calls:

141.0ms	(*.f64 (cbrt.f64 x.re) (cbrt.f64 x.re))
115.0ms	(cbrt.f64 x.re)
113.0ms	(cbrt.f64 x.re)
101.0ms	(cbrt.f64 x.re)

Compiler

Compiled 735 to 538 computations (26.8% saved)

simplify108.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

586×	`log-prod_binary64_3574`
416×	`sqr-pow_binary64_3460`
335×	`associate-l_binary64_3429`
309×	`*-commutative_binary64_3419`
277×	`distribute-rgt-neg-in_binary64_3446`
257×	`distribute-lft-neg-in_binary64_3445`
227×	`associate-r_binary64_3428`
188×	`exp-prod_binary64_3540`
161×	`log-pow_binary64_3577`
149×	`cube-prod_binary64_3516`
128×	`pow-sqr_binary64_3461`
124×	`unswap-sqr_binary64_3456`
111×	`swap-sqr_binary64_3455`
104×	`associate-/l*_binary64_3433`
81×	`cancel-sign-sub-inv_binary64_3454`
75×	`associate-+l+_binary64_3421`
69×	`associate-+r+_binary64_3420`
61×	`distribute-rgt-in_binary64_3438`
60×	`distribute-lft-out_binary64_3439`
57×	`distribute-lft-in_binary64_3437`
54×	`neg-sub0_binary64_3483`
53×	`neg-mul-1_binary64_3484`
48×	`distribute-rgt-out_binary64_3441`
45×	`+-commutative_binary64_3418`
43×	`pow-plus_binary64_3551` `rem-sqrt-square_binary64_3501`
41×	`times-frac_binary64_3494` `sub-neg_binary64_3481`
37×	`associate-/r/_binary64_3434`
35×	`associate-*r/_binary64_3430`
32×	`unpow3_binary64_3554`
31×	`-rgt-identity_binary64_3478` `-lft-identity_binary64_3477` `associate-/l/_binary64_3435`
29×	`count-2_binary64_3436`
27×	`cube-mult_binary64_3518`
24×	`associate-/r*_binary64_3432`
17×	`log-div_binary64_3575` `cube-div_binary64_3517` `distribute-neg-frac_binary64_3452`
13×	`cube-unmult_binary64_3525` `distribute-rgt1-in_binary64_3444`
11×	`distribute-rgt-neg-out_binary64_3448`
10×	`unpow1/2_binary64_3552`
9×	`distribute-lft-neg-out_binary64_3447` `distribute-lft1-in_binary64_3443`
8×	`unpow2_binary64_3553` `associate-*l/_binary64_3431`
5×	`unpow1_binary64_3546`
3×	`unpow1/3_binary64_3555`
2×	`exp-sqrt_binary64_3541` `rem-3cbrt-lft_binary64_3513` `rem-cbrt-cube_binary64_3512` `mul-1-neg_binary64_3480`
1×	`exp-lft-sqr_binary64_3543` `1-exp_binary64_3532` `exp-1-e_binary64_3531` `rem-3cbrt-rft_binary64_3514` `rem-square-sqrt_binary64_3500` `sub0-neg_binary64_3475` `--rgt-identity_binary64_3474` `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` `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-cbrt_binary64_3542` `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-0_binary64_3530` `rem-log-exp_binary64_3529` `rem-exp-log_binary64_3528` `cube-neg_binary64_3515` `rem-cube-cbrt_binary64_3511` `sqr-abs_binary64_3503` `sqr-neg_binary64_3502` `div-sub_binary64_3493` `unsub-neg_binary64_3482` `/-rgt-identity_binary64_3479` `remove-double-neg_binary64_3476` `+-rgt-identity_binary64_3473` `+-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` `difference-of-squares_binary64_3457` `cancel-sign-sub_binary64_3453` `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--r-_binary64_3427` `associate--l-_binary64_3426` `associate--l+_binary64_3425` `associate--r+_binary64_3424` `associate-+r-_binary64_3422`

Counts

85 → 52

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	57	848
1	98	783
2	309	761
3	1136	745
4	2035	647
5	3258	647
6	4940	647
7	4874	647

prune56.0ms (1.1%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	52	0	52
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	52	7	59

Error

0.0b

Counts

59 → 7

Compiler

Compiled 1042 to 576 computations (44.7% saved)

regimes250.0ms (4.8%)

Accuracy

Total 0.2b remaining (97.8%)

Threshold costs 0.2b (97.8%)

Compiler

Compiled 2361 to 1809 computations (23.4% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative_binary64_3419`
2×	`sub-neg_binary64_3481` `+-commutative_binary64_3418`
1×	`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	20
1	16	20
2	21	20
3	23	20
4	24	20
5	24	20

end0.0ms (0%)

sample1.4s (27.7%)

Algorithm

1×

intervals

Results

360.0ms	8000×	body	128	valid
24.0ms	561×	body	128	invalid

Compiler

Compiled 821 to 627 computations (23.6% saved)

Details

analyze420.0ms (8%)

sample22.0ms (0.4%)

simplify159.0ms (3%)

prune5.0ms (0.1%)

localize11.0ms (0.2%)

rewrite100.0ms (1.9%)

series454.0ms (8.7%)

simplify129.0ms (2.5%)

prune75.0ms (1.4%)

localize7.0ms (0.1%)

rewrite96.0ms (1.8%)

series425.0ms (8.1%)

simplify104.0ms (2%)

prune63.0ms (1.2%)

localize7.0ms (0.1%)

rewrite94.0ms (1.8%)

series431.0ms (8.2%)

simplify106.0ms (2%)

prune61.0ms (1.2%)

localize12.0ms (0.2%)

rewrite102.0ms (1.9%)

series484.0ms (9.3%)

simplify108.0ms (2.1%)

prune56.0ms (1.1%)

regimes250.0ms (4.8%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.4s (27.7%)

Profiling