Details

analyze378.0ms (13.4%)

Algorithm

1×	search
2×	egg-herbie

Rules

5×	`*-commutative_binary64_3419`
4×	`associate-l_binary64_3429`
2×	`associate-r_binary64_3428`
1×	`swap-x-y`
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` `1-exp_binary64_3532` `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` `neg-mul-1_binary64_3484` `neg-sub0_binary64_3483` `unsub-neg_binary64_3482` `sub-neg_binary64_3481` `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` `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` `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-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` `distribute-rgt1-in_binary64_3444` `distribute-lft1-in_binary64_3443` `distribute-rgt-out--_binary64_3442` `distribute-rgt-out_binary64_3441` `distribute-lft-out--_binary64_3440` `distribute-lft-out_binary64_3439` `distribute-rgt-in_binary64_3438` `distribute-lft-in_binary64_3437` `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` `associate--r-_binary64_3427` `associate--l-_binary64_3426` `associate--l+_binary64_3425` `associate--r+_binary64_3424` `associate-+l-_binary64_3423` `associate-+r-_binary64_3422` `associate-+l+_binary64_3421` `associate-+r+_binary64_3420` `+-commutative_binary64_3418`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	14
1	12	14
2	18	14
3	16	14
4	16	14
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
50%	50%	0.1%	6
62.4%	31.2%	6.3%	7
71.8%	21.9%	6.3%	8
76.5%	14%	9.5%	9
80.4%	10.1%	9.5%	10
82.3%	6.6%	11%	11
84.1%	4.9%	11%	12
85%	3.2%	11.8%	13
85.8%	2.4%	11.8%	14

Symmetry

(sort x y)

Compiler

Compiled 6 to 6 computations (0% saved)

sample22.0ms (0.8%)

Algorithm

1×

intervals

Results

4.0ms	256×	body	128	valid
0.0ms	3×	body	128	invalid

Compiler

Compiled 11 to 13 computations (-18.2% saved)

simplify9.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

5×	`*-commutative_binary64_3419`
3×	`associate-l_binary64_3429` `associate-r_binary64_3428`
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` `1-exp_binary64_3532` `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` `neg-mul-1_binary64_3484` `neg-sub0_binary64_3483` `unsub-neg_binary64_3482` `sub-neg_binary64_3481` `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` `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` `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-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` `distribute-rgt1-in_binary64_3444` `distribute-lft1-in_binary64_3443` `distribute-rgt-out--_binary64_3442` `distribute-rgt-out_binary64_3441` `distribute-lft-out--_binary64_3440` `distribute-lft-out_binary64_3439` `distribute-rgt-in_binary64_3438` `distribute-lft-in_binary64_3437` `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` `associate--r-_binary64_3427` `associate--l-_binary64_3426` `associate--l+_binary64_3425` `associate--r+_binary64_3424` `associate-+l-_binary64_3423` `associate-+r-_binary64_3422` `associate-+l+_binary64_3421` `associate-+r+_binary64_3420` `+-commutative_binary64_3418`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	10	7
2	16	7
3	16	7
4	16	7

prune1.0ms (0.1%)

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

0.2b

Counts

1 → 1

Compiler

Compiled 5 to 5 computations (0% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.2b	(.f64 (.f64 x 27) y)

rewrite24.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

6×	`pow1_binary64_3549` `add-exp-log_binary64_3526` `add-cbrt-cube_binary64_3524`
3×	`pow-prod-down_binary64_3559` `prod-exp_binary64_3537` `cbrt-unprod_binary64_3521` `associate-r_binary64_3428`
2×	`add-cube-cbrt_binary64_3523` `add-sqr-sqrt_binary64_3510` `*-un-lft-identity_binary64_3488`
1×	`add-log-exp_binary64_3527` `associate-l_binary64_3429` `*-commutative_binary64_3419`

Counts

1 → 18

Calls

1 calls:

6.0ms

(*.f64 (*.f64 x 27) y)

Compiler

Compiled 184 to 123 computations (33.2% saved)

series82.0ms (2.9%)

Error

0.1b

Counts

1 → 6

Calls

1 calls:

78.0ms

(*.f64 (*.f64 x 27) y)

Compiler

Compiled 90 to 75 computations (16.7% saved)

simplify64.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

840×	`associate-*l/_binary64_3431`
525×	`associate-l_binary64_3429`
380×	`associate-r_binary64_3428`
345×	`*-commutative_binary64_3419`
302×	`associate-/l/_binary64_3435`
227×	`sqr-pow_binary64_3460`
190×	`associate-/r/_binary64_3434`
175×	`log-div_binary64_3575`
174×	`associate-/l*_binary64_3433`
172×	`cube-div_binary64_3517`
129×	`associate-+l+_binary64_3421`
116×	`log-prod_binary64_3574`
110×	`cube-prod_binary64_3516`
93×	`pow-sqr_binary64_3461`
65×	`associate-+r+_binary64_3420`
61×	`+-commutative_binary64_3418`
58×	`associate-/r*_binary64_3432`
50×	`exp-prod_binary64_3540`
41×	`associate-*r/_binary64_3430`
38×	`times-frac_binary64_3494`
34×	`unswap-sqr_binary64_3456`
30×	`rem-sqrt-square_binary64_3501`
29×	`*-rgt-identity_binary64_3478`
28×	`exp-sqrt_binary64_3541`
20×	`unpow3_binary64_3554` `*-lft-identity_binary64_3477` `swap-sqr_binary64_3455`
19×	`cube-mult_binary64_3518`
15×	`sub-neg_binary64_3481`
12×	`log-rec_binary64_3576`
8×	`distribute-rgt-in_binary64_3438`
7×	`distribute-rgt-out_binary64_3441`
6×	`unpow1/2_binary64_3552`
5×	`cube-unmult_binary64_3525` `distribute-lft-out_binary64_3439`
4×	`distribute-rgt1-in_binary64_3444`
3×	`distribute-lft-in_binary64_3437`
2×	`exp-lft-sqr_binary64_3543` `/-rgt-identity_binary64_3479` `distribute-lft1-in_binary64_3443` `count-2_binary64_3436`
1×	`prod-exp_binary64_3537` `1-exp_binary64_3532` `exp-1-e_binary64_3531`
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` `pow-base-0_binary64_3572` `unpow1/3_binary64_3555` `unpow2_binary64_3553` `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-cbrt_binary64_3542` `div-exp_binary64_3539` `rec-exp_binary64_3538` `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-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-square-sqrt_binary64_3500` `div-sub_binary64_3493` `neg-mul-1_binary64_3484` `neg-sub0_binary64_3483` `unsub-neg_binary64_3482` `mul-1-neg_binary64_3480` `remove-double-neg_binary64_3476` `sub0-neg_binary64_3475` `--rgt-identity_binary64_3474` `+-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-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` `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-+l-_binary64_3423` `associate-+r-_binary64_3422`

Counts

24 → 14

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	43	236
1	97	200
2	369	200
3	997	200
4	1235	200
5	1559	200
6	1792	200
7	4142	200
8	4888	200

prune17.0ms (0.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	9	5	14
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	9	6	15

Error

0.0b

Counts

15 → 6

Compiler

Compiled 174 to 114 computations (34.5% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.3b	(.f64 27 (.f64 x y))

rewrite21.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

6×	`pow1_binary64_3549` `add-exp-log_binary64_3526` `add-cbrt-cube_binary64_3524`
3×	`pow-prod-down_binary64_3559` `prod-exp_binary64_3537` `cbrt-unprod_binary64_3521` `associate-l_binary64_3429`
2×	`add-cube-cbrt_binary64_3523` `add-sqr-sqrt_binary64_3510` `*-un-lft-identity_binary64_3488`
1×	`add-log-exp_binary64_3527` `associate-r_binary64_3428` `*-commutative_binary64_3419`

Counts

1 → 18

Calls

1 calls:

5.0ms

(*.f64 27 (*.f64 x y))

Compiler

Compiled 220 to 147 computations (33.2% saved)

series83.0ms (2.9%)

Error

0.0b

Counts

1 → 6

Calls

1 calls:

80.0ms

(*.f64 27 (*.f64 x y))

Compiler

Compiled 126 to 111 computations (11.9% saved)

simplify72.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

495×	`associate-/l*_binary64_3433`
484×	`log-div_binary64_3575` `cube-div_binary64_3517`
401×	`*-commutative_binary64_3419`
334×	`associate-l_binary64_3429`
304×	`sub-neg_binary64_3481`
221×	`associate-r_binary64_3428`
209×	`log-prod_binary64_3574`
208×	`cube-prod_binary64_3516`
206×	`sqr-pow_binary64_3460`
195×	`associate-/l/_binary64_3435`
179×	`associate-/r*_binary64_3432`
161×	`times-frac_binary64_3494`
116×	`exp-prod_binary64_3540`
93×	`pow-sqr_binary64_3461`
86×	`unpow3_binary64_3554` `cube-mult_binary64_3518`
78×	`unswap-sqr_binary64_3456`
70×	`associate-/r/_binary64_3434`
69×	`swap-sqr_binary64_3455`
67×	`associate-*r/_binary64_3430`
54×	`associate-+r-_binary64_3422`
46×	`associate-+l-_binary64_3423`
34×	`log-rec_binary64_3576`
33×	`associate-+r+_binary64_3420`
30×	`prod-exp_binary64_3537` `neg-mul-1_binary64_3484` `neg-sub0_binary64_3483` `associate-*l/_binary64_3431`
29×	`exp-sqrt_binary64_3541`
25×	`unsub-neg_binary64_3482` `associate-+l+_binary64_3421`
21×	`associate--l-_binary64_3426`
18×	`exp-lft-sqr_binary64_3543`
15×	`/-rgt-identity_binary64_3479` `*-lft-identity_binary64_3477`
14×	`rem-sqrt-square_binary64_3501`
10×	`remove-double-div_binary64_3464`
8×	`associate--l+_binary64_3425`
7×	`*-rgt-identity_binary64_3478`
6×	`+-commutative_binary64_3418`
4×	`cube-unmult_binary64_3525`
2×	`unpow1_binary64_3546` `rem-square-sqrt_binary64_3500`
1×	`1-exp_binary64_3532` `exp-1-e_binary64_3531`
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` `pow-base-0_binary64_3572` `unpow1/3_binary64_3555` `unpow2_binary64_3553` `unpow1/2_binary64_3552` `pow-plus_binary64_3551` `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` `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-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` `div-sub_binary64_3493` `mul-1-neg_binary64_3480` `remove-double-neg_binary64_3476` `sub0-neg_binary64_3475` `--rgt-identity_binary64_3474` `+-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` `difference-of-sqr--1_binary64_3459` `difference-of-sqr-1_binary64_3458` `difference-of-squares_binary64_3457` `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` `distribute-rgt1-in_binary64_3444` `distribute-lft1-in_binary64_3443` `distribute-rgt-out--_binary64_3442` `distribute-rgt-out_binary64_3441` `distribute-lft-out--_binary64_3440` `distribute-lft-out_binary64_3439` `distribute-rgt-in_binary64_3438` `distribute-lft-in_binary64_3437` `count-2_binary64_3436` `associate--r-_binary64_3427` `associate--r+_binary64_3424`

Counts

24 → 7

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	38	234
1	82	198
2	253	198
3	645	198
4	822	198
5	951	198
6	1169	198
7	1548	198
8	2411	198
9	3899	198
10	5051	198

prune10.0ms (0.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	6	1	7
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	7	6	13

Error

0.0b

Counts

13 → 6

Compiler

Compiled 114 to 91 computations (20.2% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.3b	(.f64 (.f64 x y) (sqrt.f64 27))
0.3b	(.f64 (sqrt.f64 27) (.f64 (*.f64 x y) (sqrt.f64 27)))

rewrite76.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

16×	`pow1_binary64_3549` `add-exp-log_binary64_3526` `add-cbrt-cube_binary64_3524`
9×	`pow-prod-down_binary64_3559` `prod-exp_binary64_3537` `cbrt-unprod_binary64_3521`
7×	`associate-l_binary64_3429` `associate-r_binary64_3428`
6×	`add-cube-cbrt_binary64_3523` `add-sqr-sqrt_binary64_3510` `*-un-lft-identity_binary64_3488` `sqrt-prod_binary64_3504`
2×	`add-log-exp_binary64_3527` `*-commutative_binary64_3419`

Counts

2 → 45

Calls

2 calls:

12.0ms	(.f64 (sqrt.f64 27) (.f64 (*.f64 x y) (sqrt.f64 27)))
7.0ms	(.f64 (.f64 x y) (sqrt.f64 27))

Compiler

Compiled 794 to 600 computations (24.4% saved)

series320.0ms (11.3%)

Error

0.0b

Counts

2 → 12

Calls

2 calls:

198.0ms	(.f64 (sqrt.f64 27) (.f64 (*.f64 x y) (sqrt.f64 27)))
113.0ms	(.f64 (.f64 x y) (sqrt.f64 27))

Compiler

Compiled 378 to 345 computations (8.7% saved)

simplify63.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

358×	`*-commutative_binary64_3419`
344×	`unswap-sqr_binary64_3456`
335×	`associate-/l*_binary64_3433`
313×	`associate-/l/_binary64_3435`
311×	`associate-*l/_binary64_3431`
307×	`associate-/r/_binary64_3434`
301×	`associate-+l+_binary64_3421`
247×	`sqr-pow_binary64_3460`
176×	`associate-l_binary64_3429`
170×	`associate-+r+_binary64_3420`
158×	`associate-r_binary64_3428`
125×	`distribute-rgt-in_binary64_3438`
113×	`distribute-lft-in_binary64_3437`
103×	`associate-/r*_binary64_3432`
101×	`pow-sqr_binary64_3461`
91×	`times-frac_binary64_3494`
88×	`swap-sqr_binary64_3455`
70×	`exp-prod_binary64_3540`
65×	`log-prod_binary64_3574`
58×	`cube-prod_binary64_3516`
54×	`associate-*r/_binary64_3430`
39×	`rem-sqrt-square_binary64_3501`
27×	`+-commutative_binary64_3418`
22×	`distribute-lft-out_binary64_3439`
19×	`distribute-rgt-out_binary64_3441`
17×	`*-rgt-identity_binary64_3478`
14×	`*-lft-identity_binary64_3477`
9×	`log-div_binary64_3575` `cube-div_binary64_3517`
8×	`unpow1/2_binary64_3552` `cube-unmult_binary64_3525` `distribute-rgt1-in_binary64_3444`
7×	`unpow3_binary64_3554` `count-2_binary64_3436`
6×	`cube-mult_binary64_3518`
5×	`distribute-lft1-in_binary64_3443`
4×	`log-pow_binary64_3577` `/-rgt-identity_binary64_3479`
3×	`pow-plus_binary64_3551`
1×	`unpow2_binary64_3553` `unpow1_binary64_3546` `exp-lft-sqr_binary64_3543` `exp-sqrt_binary64_3541` `1-exp_binary64_3532` `exp-1-e_binary64_3531` `rem-square-sqrt_binary64_3500`
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` `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-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-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` `div-sub_binary64_3493` `neg-mul-1_binary64_3484` `neg-sub0_binary64_3483` `unsub-neg_binary64_3482` `sub-neg_binary64_3481` `mul-1-neg_binary64_3480` `remove-double-neg_binary64_3476` `sub0-neg_binary64_3475` `--rgt-identity_binary64_3474` `+-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-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` `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-+l-_binary64_3423` `associate-+r-_binary64_3422`

Counts

57 → 45

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	69	750
1	163	556
2	598	556
3	929	548
4	1346	548
5	2293	548
6	4933	548

prune43.0ms (1.5%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	43	2	45
Fresh	2	1	3
Picked	0	1	1
Done	0	2	2
Total	45	6	51

Error

0.0b

Counts

51 → 6

Compiler

Compiled 590 to 441 computations (25.3% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.1b	(*.f64 (sqrt.f64 27) y)
0.2b	(.f64 x (.f64 (sqrt.f64 27) y))
0.3b	(.f64 (sqrt.f64 27) (.f64 x (*.f64 (sqrt.f64 27) y)))

rewrite104.0ms (3.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

19×	`pow1_binary64_3549` `add-exp-log_binary64_3526` `add-cbrt-cube_binary64_3524`
15×	`associate-l_binary64_3429`
13×	`add-sqr-sqrt_binary64_3510`
10×	`pow-prod-down_binary64_3559` `prod-exp_binary64_3537` `cbrt-unprod_binary64_3521`
9×	`add-cube-cbrt_binary64_3523` `*-un-lft-identity_binary64_3488`
7×	`sqrt-prod_binary64_3504`
5×	`associate-r_binary64_3428`
3×	`add-log-exp_binary64_3527` `*-commutative_binary64_3419`
2×	`unswap-sqr_binary64_3456`

Counts

3 → 64

Calls

3 calls:

11.0ms	(.f64 (sqrt.f64 27) (.f64 x (*.f64 (sqrt.f64 27) y)))
6.0ms	(.f64 x (.f64 (sqrt.f64 27) y))
5.0ms	(*.f64 (sqrt.f64 27) y)

Compiler

Compiled 1102 to 896 computations (18.7% saved)

series350.0ms (12.4%)

Error

0.0b

Counts

3 → 15

Calls

3 calls:

171.0ms	(.f64 (sqrt.f64 27) (.f64 x (*.f64 (sqrt.f64 27) y)))
121.0ms	(.f64 x (.f64 (sqrt.f64 27) y))
46.0ms	(*.f64 (sqrt.f64 27) y)

Compiler

Compiled 477 to 441 computations (7.5% saved)

simplify74.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

485×	`unswap-sqr_binary64_3456`
482×	`distribute-rgt-in_binary64_3438`
450×	`distribute-lft-in_binary64_3437`
406×	`*-commutative_binary64_3419`
344×	`associate-+l+_binary64_3421`
247×	`sqr-pow_binary64_3460`
197×	`associate-r_binary64_3428`
166×	`associate-l_binary64_3429`
156×	`associate-+r+_binary64_3420`
120×	`associate-/l*_binary64_3433`
103×	`times-frac_binary64_3494`
100×	`pow-sqr_binary64_3461`
85×	`swap-sqr_binary64_3455`
77×	`exp-prod_binary64_3540`
69×	`log-prod_binary64_3574`
64×	`cube-prod_binary64_3516` `associate-/l/_binary64_3435`
56×	`associate-*r/_binary64_3430`
54×	`associate-/r/_binary64_3434`
40×	`rem-sqrt-square_binary64_3501`
33×	`+-commutative_binary64_3418`
27×	`associate-/r*_binary64_3432`
25×	`distribute-lft-out_binary64_3439`
22×	`distribute-rgt-out_binary64_3441`
20×	`*-rgt-identity_binary64_3478`
19×	`*-lft-identity_binary64_3477`
16×	`log-div_binary64_3575` `cube-div_binary64_3517` `associate-*l/_binary64_3431`
10×	`unpow1/2_binary64_3552` `distribute-rgt1-in_binary64_3444`
8×	`cube-unmult_binary64_3525`
6×	`unpow3_binary64_3554`
5×	`cube-mult_binary64_3518` `distribute-lft1-in_binary64_3443`
4×	`log-pow_binary64_3577`
3×	`count-2_binary64_3436`
2×	`exp-lft-sqr_binary64_3543` `exp-sqrt_binary64_3541`
1×	`unpow2_binary64_3553` `pow-plus_binary64_3551` `unpow1_binary64_3546` `1-exp_binary64_3532` `exp-1-e_binary64_3531` `rem-square-sqrt_binary64_3500` `/-rgt-identity_binary64_3479`
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` `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-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-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` `div-sub_binary64_3493` `neg-mul-1_binary64_3484` `neg-sub0_binary64_3483` `unsub-neg_binary64_3482` `sub-neg_binary64_3481` `mul-1-neg_binary64_3480` `remove-double-neg_binary64_3476` `sub0-neg_binary64_3475` `--rgt-identity_binary64_3474` `+-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-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` `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-+l-_binary64_3423` `associate-+r-_binary64_3422`

Counts

79 → 52

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	79	947
1	183	741
2	667	741
3	1012	733
4	1461	733
5	2576	733
6	5115	733

prune47.0ms (1.7%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	52	0	52
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	52	6	58

Error

0.0b

Counts

58 → 6

Compiler

Compiled 658 to 492 computations (25.2% saved)

regimes184.0ms (6.5%)

Accuracy

Total 0.3b remaining (99.8%)

Threshold costs 0.3b (99.8%)

Compiler

Compiled 1316 to 1166 computations (11.4% saved)

bsearch0.0ms (0%)

simplify9.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

2× *-commutative_binary64_3419

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 neg-mul-1_binary64_3484 neg-sub0_binary64_3483 unsub-neg_binary64_3482 sub-neg_binary64_3481 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 +-commutative_binary64_3418

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	8	7
2	8	7

Remove

(sort x y)

Compiler

Compiled 10 to 10 computations (0% saved)

end0.0ms (0%)

sample750.0ms (26.6%)

Algorithm

1×

intervals

Results

141.0ms	8000×	body	128	valid
1.0ms	83×	body	128	invalid

Compiler

Compiled 335 to 298 computations (11% saved)

Details

analyze378.0ms (13.4%)

sample22.0ms (0.8%)

simplify9.0ms (0.3%)

prune1.0ms (0.1%)

localize3.0ms (0.1%)

rewrite24.0ms (0.8%)

series82.0ms (2.9%)

simplify64.0ms (2.3%)

prune17.0ms (0.6%)

localize5.0ms (0.2%)

rewrite21.0ms (0.7%)

series83.0ms (2.9%)

simplify72.0ms (2.5%)

prune10.0ms (0.4%)

localize7.0ms (0.2%)

rewrite76.0ms (2.7%)

series320.0ms (11.3%)

simplify63.0ms (2.2%)

prune43.0ms (1.5%)

localize7.0ms (0.2%)

rewrite104.0ms (3.7%)

series350.0ms (12.4%)

simplify74.0ms (2.6%)

prune47.0ms (1.7%)

regimes184.0ms (6.5%)

bsearch0.0ms (0%)

simplify9.0ms (0.3%)

end0.0ms (0%)

sample750.0ms (26.6%)

Profiling