Details

analyze1.7s (6.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.6%	0.4%	0
0%	99.6%	0.4%	1
0%	99.6%	0.4%	2
0%	99.6%	0.4%	3
0%	99.6%	0.4%	4
0%	99.6%	0.4%	5
0%	99.6%	0.4%	6
0%	99.6%	0.4%	7
0%	99.6%	0.4%	8
0%	99.6%	0.4%	9
0%	99.6%	0.4%	10
0%	99.6%	0.4%	11
0%	99.6%	0.4%	12
0%	99.6%	0.4%	13
0%	99.6%	0.4%	14

Compiler

Compiled 16 to 16 computations (0% saved)

sample50.0ms (0.2%)

Algorithm

1×

intervals

Results

15.0ms	256×	body	128	valid
8.0ms	177×	body	128	invalid

Compiler

Compiled 31 to 39 computations (-25.8% saved)

simplify156.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

23×	`associate-+l+_binary64_3421`
20×	`associate-+r+_binary64_3420`
12×	`+-commutative_binary64_3418`
4×	`*-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` `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-l_binary64_3429` `associate-r*_binary64_3428` `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

1 → 2

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	22
1	27	22
2	47	22
3	67	22
4	67	22

prune4.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	2	0	2
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	2	1	3

Error

0.0b

Counts

3 → 1

Compiler

Compiled 45 to 32 computations (28.9% saved)

localize12.0ms (0%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))
0.0b	(+.f64 (.f64 x y) (.f64 z t))
0.0b	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b)) (.f64 c i))

rewrite64.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

19×	`add-log-exp_binary64_3527`
10×	`sum-log_binary64_3579`
3×	`pow1_binary64_3549` `add-exp-log_binary64_3526` `add-cbrt-cube_binary64_3524` `add-cube-cbrt_binary64_3523` `add-sqr-sqrt_binary64_3510` `flip3-+_binary64_3491` `*-un-lft-identity_binary64_3488` `flip-+_binary64_3462` `+-commutative_binary64_3418`
2×	`associate-+l+_binary64_3421`

Counts

3 → 38

Calls

3 calls:

9.0ms	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b)) (.f64 c i))
7.0ms	(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))
4.0ms	(+.f64 (.f64 x y) (.f64 z t))

Compiler

Compiled 1006 to 161 computations (84% saved)

series1.4s (5.3%)

Error

0.0b

Counts

3 → 108

Calls

3 calls:

717.0ms	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b)) (.f64 c i))
442.0ms	(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))
193.0ms	(+.f64 (.f64 x y) (.f64 z t))

Compiler

Compiled 3266 to 2266 computations (30.6% saved)

simplify165.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

679×	`distribute-rgt-in_binary64_3438`
640×	`distribute-lft-in_binary64_3437`
455×	`associate-l_binary64_3429`
343×	`associate-r_binary64_3428`
277×	`associate-+l+_binary64_3421`
186×	`associate-+r+_binary64_3420`
139×	`cancel-sign-sub-inv_binary64_3454`
93×	`distribute-rgt-neg-in_binary64_3446`
69×	`distribute-lft-neg-in_binary64_3445`
62×	`associate--r+_binary64_3424`
53×	`sub-neg_binary64_3481` `sqr-pow_binary64_3460`
47×	`associate--l+_binary64_3425`
45×	`distribute-rgt-out_binary64_3441`
37×	`neg-mul-1_binary64_3484` `neg-sub0_binary64_3483`
36×	`*-commutative_binary64_3419`
34×	`associate-+r-_binary64_3422` `+-commutative_binary64_3418`
24×	`pow-sqr_binary64_3461` `distribute-lft-neg-out_binary64_3447` `associate-+l-_binary64_3423`
22×	`distribute-neg-in_binary64_3449`
21×	`distribute-rgt-out--_binary64_3442`
18×	`distribute-lft-out_binary64_3439`
17×	`unswap-sqr_binary64_3456`
14×	`unpow3_binary64_3554` `cube-mult_binary64_3518`
13×	`prod-exp_binary64_3537`
12×	`unsub-neg_binary64_3482`
8×	`exp-prod_binary64_3540` `cube-prod_binary64_3516` `swap-sqr_binary64_3455` `distribute-lft-out--_binary64_3440`
5×	`exp-sum_binary64_3534`
3×	`difference-of-squares_binary64_3457` `distribute-rgt-neg-out_binary64_3448`
1×	`cube-unmult_binary64_3525` `associate-/l/_binary64_3435` `associate-*r/_binary64_3430`
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` `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` `div-exp_binary64_3539` `rec-exp_binary64_3538` `exp-diff_binary64_3536` `exp-neg_binary64_3535` `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-div_binary64_3517` `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` `-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` `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` `count-2_binary64_3436` `associate-/r/_binary64_3434` `associate-/l_binary64_3433` `associate-/r_binary64_3432` `associate-l/_binary64_3431` `associate--r-_binary64_3427` `associate--l-_binary64_3426`

Counts

146 → 230

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	90	2264
1	305	2219
2	1108	2201

prune218.0ms (0.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	226	4	230
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	226	5	231

Error

0.0b

Counts

231 → 5

Compiler

Compiled 6158 to 560 computations (90.9% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (+.f64 (cbrt.f64 (pow.f64 (+.f64 (.f64 t z) (.f64 x y)) 3)) (.f64 a b)) (.f64 c i))
0.0b	(+.f64 (.f64 t z) (.f64 x y))
0.3b	(pow.f64 (+.f64 (.f64 t z) (.f64 x y)) 3)
35.9b	(cbrt.f64 (pow.f64 (+.f64 (.f64 t z) (.f64 x y)) 3))

rewrite125.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

12×	`cbrt-prod_binary64_3519`
11×	`add-log-exp_binary64_3527`
10×	`add-cube-cbrt_binary64_3523` `add-sqr-sqrt_binary64_3510` `*-un-lft-identity_binary64_3488`
6×	`unpow-prod-down_binary64_3567` `cube-prod_binary64_3516`
5×	`pow1_binary64_3549` `add-exp-log_binary64_3526` `add-cbrt-cube_binary64_3524`
4×	`flip3-+_binary64_3491` `cube-div_binary64_3517` `flip-+_binary64_3462` `sum-log_binary64_3579`
3×	`pow-unpow_binary64_3565`
2×	`cbrt-div_binary64_3520` `unpow3_binary64_3554` `cube-mult_binary64_3518` `sqr-pow_binary64_3460` `+-commutative_binary64_3418`
1×	`pow1/3_binary64_3570` `rem-cbrt-cube_binary64_3512` `pow-pow_binary64_3560` `pow-to-exp_binary64_3557` `pow-exp_binary64_3556` `rem-cube-cbrt_binary64_3511` `associate-+l+_binary64_3421`

Counts

4 → 72

Calls

4 calls:

12.0ms	(+.f64 (+.f64 (cbrt.f64 (pow.f64 (+.f64 (.f64 t z) (.f64 x y)) 3)) (.f64 a b)) (.f64 c i))
5.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 t z) (.f64 x y)) 3))
5.0ms	(pow.f64 (+.f64 (.f64 t z) (.f64 x y)) 3)
4.0ms	(+.f64 (.f64 t z) (.f64 x y))

Compiler

Compiled 2155 to 661 computations (69.3% saved)

series1.7s (6.3%)

Error

0.0b

Counts

4 → 144

Calls

4 calls:

709.0ms	(+.f64 (+.f64 (cbrt.f64 (pow.f64 (+.f64 (.f64 t z) (.f64 x y)) 3)) (.f64 a b)) (.f64 c i))
385.0ms	(pow.f64 (+.f64 (.f64 t z) (.f64 x y)) 3)
219.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 t z) (.f64 x y)) 3))
216.0ms	(+.f64 (.f64 t z) (.f64 x y))

Compiler

Compiled 6548 to 4847 computations (26% saved)

simplify482.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

858×	`distribute-rgt-in_binary64_3438`
827×	`distribute-lft-in_binary64_3437`
407×	`unswap-sqr_binary64_3456`
173×	`associate-r_binary64_3428`
169×	`associate-l_binary64_3429`
130×	`sqr-pow_binary64_3460`
112×	`cancel-sign-sub-inv_binary64_3454`
86×	`exp-prod_binary64_3540`
73×	`distribute-rgt-neg-in_binary64_3446` `distribute-rgt-out_binary64_3441`
69×	`pow-sqr_binary64_3461`
57×	`distribute-lft-neg-in_binary64_3445`
52×	`log-prod_binary64_3574` `*-commutative_binary64_3419`
41×	`distribute-lft-out_binary64_3439`
40×	`associate-+l+_binary64_3421`
38×	`cube-prod_binary64_3516`
36×	`+-commutative_binary64_3418`
35×	`sub-neg_binary64_3481`
34×	`swap-sqr_binary64_3455`
30×	`pow-plus_binary64_3551`
29×	`associate-+r+_binary64_3420`
28×	`neg-mul-1_binary64_3484` `neg-sub0_binary64_3483`
21×	`unpow3_binary64_3554`
20×	`distribute-neg-in_binary64_3449` `distribute-lft-neg-out_binary64_3447`
19×	`cube-mult_binary64_3518`
18×	`exp-sum_binary64_3534`
16×	`prod-exp_binary64_3537`
15×	`log-pow_binary64_3577` `distribute-rgt-out--_binary64_3442`
10×	`rem-sqrt-square_binary64_3501`
9×	`rem-cbrt-cube_binary64_3512`
8×	`unsub-neg_binary64_3482`
7×	`cube-unmult_binary64_3525`
6×	`*-lft-identity_binary64_3477` `distribute-rgt-neg-out_binary64_3448` `distribute-lft-out--_binary64_3440` `associate--l+_binary64_3425`
5×	`unpow1_binary64_3546`
4×	`unpow2_binary64_3553` `-rgt-identity_binary64_3478` `associate-/l_binary64_3433` `associate--r+_binary64_3424`
3×	`pow-base-1_binary64_3548`
2×	`times-frac_binary64_3494` `difference-of-squares_binary64_3457` `associate-+l-_binary64_3423` `associate-+r-_binary64_3422`
1×	`1-exp_binary64_3532` `cube-div_binary64_3517` `rem-3cbrt-lft_binary64_3513` `rem-cube-cbrt_binary64_3511` `rem-square-sqrt_binary64_3500` `/-rgt-identity_binary64_3479` `+-rgt-identity_binary64_3473` `*-inverses_binary64_3468` `rgt-mult-inverse_binary64_3465` `distribute-rgt1-in_binary64_3444` `distribute-lft1-in_binary64_3443` `associate-/l/_binary64_3435`
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` `unpow1/2_binary64_3552` `exp-to-pow_binary64_3550` `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` `exp-diff_binary64_3536` `exp-neg_binary64_3535` `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-neg_binary64_3515` `rem-3cbrt-rft_binary64_3514` `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` `+-lft-identity_binary64_3472` `mul0-rgt_binary64_3471` `mul0-lft_binary64_3470` `div0_binary64_3469` `+-inverses_binary64_3467` `lft-mult-inverse_binary64_3466` `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` `count-2_binary64_3436` `associate-/r/_binary64_3434` `associate-/r_binary64_3432` `associate-l/_binary64_3431` `associate-*r/_binary64_3430` `associate--r-_binary64_3427` `associate--l-_binary64_3426`

Counts

216 → 435

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	145	4404
1	420	4218
2	1686	4098

prune547.0ms (2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	435	0	435
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	435	5	440

Error

0.0b

Counts

440 → 5

Compiler

Compiled 13798 to 2936 computations (78.7% saved)

localize28.0ms (0.1%)

Local error

Found 4 expressions with local error:

4.3b	(.f64 x (.f64 x (*.f64 y y)))
7.1b	(.f64 x (.f64 y y))
7.7b	(.f64 t (.f64 z z))
25.0b	(/.f64 (-.f64 (.f64 x (.f64 x (.f64 y y))) (.f64 t (.f64 t (.f64 z z)))) (-.f64 (.f64 x y) (.f64 z t)))

rewrite156.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

25×	`add-exp-log_binary64_3526` `add-cbrt-cube_binary64_3524`
23×	`pow1_binary64_3549`
17×	`add-sqr-sqrt_binary64_3510`
15×	`add-cube-cbrt_binary64_3523` `*-un-lft-identity_binary64_3488`
12×	`pow-prod-down_binary64_3559` `prod-exp_binary64_3537` `cbrt-unprod_binary64_3521`
9×	`times-frac_binary64_3494` `associate-l_binary64_3429`
4×	`add-log-exp_binary64_3527`
3×	`associate-/l_binary64_3433` `associate-/r_binary64_3432` `associate-r_binary64_3428` `*-commutative_binary64_3419`
2×	`flip3--_binary64_3492` `associate-/l/_binary64_3435` `flip--_binary64_3463` `associate-/r/_binary64_3434` `unswap-sqr_binary64_3456`
1×	`div-exp_binary64_3539` `cbrt-undiv_binary64_3522` `frac-2neg_binary64_3499` `div-sub_binary64_3493` `clear-num_binary64_3487` `div-inv_binary64_3485`

Counts

4 → 91

Calls

4 calls:

13.0ms	(/.f64 (-.f64 (.f64 x (.f64 x (.f64 y y))) (.f64 t (.f64 t (.f64 z z)))) (-.f64 (.f64 x y) (.f64 z t)))
7.0ms	(.f64 x (.f64 x (*.f64 y y)))
6.0ms	(.f64 t (.f64 z z))
6.0ms	(.f64 x (.f64 y y))

Compiler

Compiled 3825 to 622 computations (83.7% saved)

series1.1s (4%)

Error

0.0b

Counts

4 → 42

Calls

4 calls:

724.0ms	(/.f64 (-.f64 (.f64 x (.f64 x (.f64 y y))) (.f64 t (.f64 t (.f64 z z)))) (-.f64 (.f64 x y) (.f64 z t)))
124.0ms	(.f64 x (.f64 x (*.f64 y y)))
94.0ms	(.f64 t (.f64 z z))
90.0ms	(.f64 x (.f64 y y))

Compiler

Compiled 2478 to 1569 computations (36.7% saved)

simplify396.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

566×	`associate-/l*_binary64_3433`
489×	`times-frac_binary64_3494`
300×	`associate-/l/_binary64_3435`
254×	`associate-l_binary64_3429`
235×	`associate-r_binary64_3428`
226×	`distribute-rgt-in_binary64_3438`
223×	`distribute-lft-in_binary64_3437`
197×	`associate-/r/_binary64_3434`
117×	`unswap-sqr_binary64_3456`
109×	`cancel-sign-sub-inv_binary64_3454`
100×	`div-sub_binary64_3493`
97×	`distribute-rgt-neg-in_binary64_3446`
82×	`distribute-lft-neg-in_binary64_3445`
70×	`distribute-neg-frac_binary64_3452`
53×	`sqr-pow_binary64_3460`
47×	`*-commutative_binary64_3419`
46×	`log-prod_binary64_3574`
44×	`distribute-rgt-out_binary64_3441`
35×	`swap-sqr_binary64_3455`
30×	`exp-prod_binary64_3540` `neg-mul-1_binary64_3484`
29×	`neg-sub0_binary64_3483`
28×	`sub-neg_binary64_3481` `pow-sqr_binary64_3461`
23×	`associate-/r*_binary64_3432`
22×	`distribute-lft-neg-out_binary64_3447`
21×	`pow-plus_binary64_3551` `distribute-lft-out_binary64_3439`
17×	`log-div_binary64_3575`
16×	`+-commutative_binary64_3418`
12×	`distribute-rgt-neg-out_binary64_3448` `associate-*l/_binary64_3431`
11×	`cube-prod_binary64_3516` `distribute-neg-in_binary64_3449`
10×	`cube-unmult_binary64_3525` `cube-div_binary64_3517`
9×	`div-exp_binary64_3539` `prod-exp_binary64_3537`
7×	`/-rgt-identity_binary64_3479` `*-rgt-identity_binary64_3478` `associate-+r+_binary64_3420`
6×	`log-pow_binary64_3577` `unpow3_binary64_3554` `associate-*r/_binary64_3430` `associate-+l+_binary64_3421`
4×	`*-inverses_binary64_3468` `difference-of-squares_binary64_3457`
3×	`unpow2_binary64_3553` `unpow1_binary64_3546` `rec-exp_binary64_3538` `distribute-rgt-out--_binary64_3442` `count-2_binary64_3436`
2×	`cube-mult_binary64_3518` `unsub-neg_binary64_3482` `remove-double-neg_binary64_3476` `associate--r-_binary64_3427` `associate--r+_binary64_3424`
1×	`log-rec_binary64_3576` `exp-diff_binary64_3536` `exp-sum_binary64_3534` `1-exp_binary64_3532` `rem-log-exp_binary64_3529` `rem-sqrt-square_binary64_3501` `*-lft-identity_binary64_3477`
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` `unpow1/2_binary64_3552` `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-neg_binary64_3535` `e-exp-1_binary64_3533` `exp-1-e_binary64_3531` `exp-0_binary64_3530` `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` `mul-1-neg_binary64_3480` `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_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-frac-neg_binary64_3451` `distribute-neg-out_binary64_3450` `distribute-rgt1-in_binary64_3444` `distribute-lft1-in_binary64_3443` `distribute-lft-out--_binary64_3440` `associate--l-_binary64_3426` `associate--l+_binary64_3425` `associate-+l-_binary64_3423` `associate-+r-_binary64_3422`

Counts

133 → 274

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	156	2733
1	399	2400
2	1762	2139

prune352.0ms (1.3%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	274	0	274
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	274	5	279

Error

0.0b

Counts

279 → 5

Compiler

Compiled 12601 to 1334 computations (89.4% saved)

localize24.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 c i) (*.f64 c i))
0.3b	(.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b)) (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b)))
6.4b	(-.f64 (.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b)) (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b))) (.f64 (.f64 c i) (.f64 c i)))
34.7b	(/.f64 (-.f64 (.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b)) (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b))) (.f64 (.f64 c i) (.f64 c i))) (+.f64 (+.f64 (.f64 t z) (.f64 x y)) (-.f64 (.f64 a b) (.f64 i c))))

rewrite317.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

50×	`pow1_binary64_3549`
28×	`*-un-lft-identity_binary64_3488`
20×	`add-exp-log_binary64_3526` `add-cbrt-cube_binary64_3524` `add-sqr-sqrt_binary64_3510`
18×	`add-cube-cbrt_binary64_3523` `pow-prod-down_binary64_3559`
16×	`times-frac_binary64_3494`
9×	`flip3-+_binary64_3491` `flip-+_binary64_3462` `prod-exp_binary64_3537` `cbrt-unprod_binary64_3521`
6×	`add-log-exp_binary64_3527` `difference-of-squares_binary64_3457` `associate-/r/_binary64_3434`
5×	`distribute-lft-out_binary64_3439` `pow-prod-up_binary64_3558` `pow-sqr_binary64_3461`
4×	`flip3--_binary64_3492` `flip--_binary64_3463` `frac-add_binary64_3496` `associate-/l_binary64_3433` `associate-/r_binary64_3432` `frac-times_binary64_3498` `swap-sqr_binary64_3455` `associate-l_binary64_3429` `associate-r_binary64_3428`
3×	`pow-plus_binary64_3551`
2×	`associate-/l/_binary64_3435` `distribute-rgt-in_binary64_3438` `associate--l+_binary64_3425` `distribute-lft-in_binary64_3437` `pow2_binary64_3569` `associate-l/_binary64_3431` `associate-r/_binary64_3430` `*-commutative_binary64_3419`
1×	`div-exp_binary64_3539` `cbrt-undiv_binary64_3522` `frac-2neg_binary64_3499` `div-sub_binary64_3493` `clear-num_binary64_3487` `div-inv_binary64_3485` `diff-log_binary64_3580` `sub-neg_binary64_3481` `cancel-sign-sub-inv_binary64_3454` `unswap-sqr_binary64_3456`

Counts

4 → 129

Calls

4 calls:

25.0ms	(/.f64 (-.f64 (.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b)) (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b))) (.f64 (.f64 c i) (.f64 c i))) (+.f64 (+.f64 (.f64 t z) (.f64 x y)) (-.f64 (.f64 a b) (.f64 i c))))
16.0ms	(-.f64 (.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b)) (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b))) (.f64 (.f64 c i) (.f64 c i)))
16.0ms	(.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b)) (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b)))
6.0ms	(.f64 (.f64 c i) (*.f64 c i))

Compiler

Compiled 9064 to 625 computations (93.1% saved)

series10.7s (39.8%)

Error

0.0b

Counts

4 → 174

Calls

4 calls:

4.6s	(-.f64 (.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b)) (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b))) (.f64 (.f64 c i) (.f64 c i)))
4.5s	(/.f64 (-.f64 (.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b)) (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b))) (.f64 (.f64 c i) (.f64 c i))) (+.f64 (+.f64 (.f64 t z) (.f64 x y)) (-.f64 (.f64 a b) (.f64 i c))))
1.1s	(.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b)) (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b)))
125.0ms	(.f64 (.f64 c i) (*.f64 c i))

Compiler

Compiled 27876 to 14313 computations (48.7% saved)

simplify2.4s (8.9%)

Algorithm

1×	egg-herbie

Rules

531×	`times-frac_binary64_3494`
500×	`associate-/l*_binary64_3433`
315×	`distribute-rgt-in_binary64_3438`
306×	`distribute-lft-in_binary64_3437`
214×	`cancel-sign-sub-inv_binary64_3454`
167×	`+-commutative_binary64_3418`
153×	`*-commutative_binary64_3419`
129×	`associate-+r+_binary64_3420`
114×	`associate-r_binary64_3428`
96×	`sub-neg_binary64_3481`
67×	`associate-/r/_binary64_3434`
58×	`sqr-pow_binary64_3460`
55×	`div-sub_binary64_3493`
50×	`distribute-rgt-neg-in_binary64_3446`
47×	`unswap-sqr_binary64_3456`
38×	`distribute-lft-neg-in_binary64_3445`
29×	`associate-/l/_binary64_3435`
27×	`neg-mul-1_binary64_3484` `neg-sub0_binary64_3483`
26×	`associate-l_binary64_3429`
24×	`swap-sqr_binary64_3455`
23×	`associate--l+_binary64_3425`
21×	`distribute-neg-in_binary64_3449`
19×	`cube-prod_binary64_3516` `distribute-rgt-out_binary64_3441`
18×	`unpow3_binary64_3554` `associate-*r/_binary64_3430`
15×	`unpow2_binary64_3553` `exp-prod_binary64_3540` `cube-mult_binary64_3518`
14×	`log-prod_binary64_3574` `difference-of-squares_binary64_3457`
11×	`pow-sqr_binary64_3461` `distribute-lft-neg-out_binary64_3447`
8×	`distribute-lft-out_binary64_3439`
7×	`/-rgt-identity_binary64_3479`
6×	`exp-sum_binary64_3534` `cube-unmult_binary64_3525` `associate-/r*_binary64_3432` `associate--r+_binary64_3424`
5×	`pow-plus_binary64_3551`
4×	`rem-sqrt-square_binary64_3501` `distribute-rgt-out--_binary64_3442` `associate-+l+_binary64_3421`
3×	`*-rgt-identity_binary64_3478` `count-2_binary64_3436` `associate-+r-_binary64_3422`
2×	`log-div_binary64_3575` `div-exp_binary64_3539` `exp-diff_binary64_3536` `*-inverses_binary64_3468`
1×	`rec-exp_binary64_3538` `prod-exp_binary64_3537` `1-exp_binary64_3532` `rem-3cbrt-rft_binary64_3514` `rem-3cbrt-lft_binary64_3513` `rem-square-sqrt_binary64_3500` `unsub-neg_binary64_3482` `mul-1-neg_binary64_3480` `distribute-neg-frac_binary64_3452` `associate-*l/_binary64_3431`
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` `pow-base-0_binary64_3572` `unpow1/3_binary64_3555` `unpow1/2_binary64_3552` `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-neg_binary64_3535` `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-cbrt-cube_binary64_3512` `rem-cube-cbrt_binary64_3511` `sqr-abs_binary64_3503` `sqr-neg_binary64_3502` `*-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_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-frac-neg_binary64_3451` `distribute-neg-out_binary64_3450` `distribute-rgt-neg-out_binary64_3448` `distribute-rgt1-in_binary64_3444` `distribute-lft1-in_binary64_3443` `distribute-lft-out--_binary64_3440` `associate--r-_binary64_3427` `associate--l-_binary64_3426` `associate-+l-_binary64_3423`

Counts

303 → 625

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	604	17080
1	1905	15649

prune1.2s (4.4%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	624	1	625
Fresh	1	0	1
Picked	0	1	1
Done	0	3	3
Total	625	5	630

Error

0.0b

Counts

630 → 5

Compiler

Compiled 41282 to 4705 computations (88.6% saved)

regimes1.4s (5.2%)

Accuracy

Total 0.0b remaining (37.2%)

Threshold costs 0.0b (37.2%)

Compiler

Compiled 18241 to 11588 computations (36.5% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative_binary64_3419`
3×	`+-commutative_binary64_3418`
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`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	22
1	23	22

Proof

(+ f64 (+ f64 (+ f64 (* f64 h0 h1) (* f64 h2 h3)) (* f64 h4 h5)) (* f64 h6 h7))

end0.0ms (0%)

sample2.2s (8.2%)

Algorithm

1×

intervals

Results

393.0ms	8000×	body	128	valid
280.0ms	5656×	body	128	invalid

Compiler

Compiled 1240 to 793 computations (36% saved)

Details

analyze1.7s (6.3%)

sample50.0ms (0.2%)

simplify156.0ms (0.6%)

prune4.0ms (0%)

localize12.0ms (0%)

rewrite64.0ms (0.2%)

series1.4s (5.3%)

simplify165.0ms (0.6%)

prune218.0ms (0.8%)

localize14.0ms (0.1%)

rewrite125.0ms (0.5%)

series1.7s (6.3%)

simplify482.0ms (1.8%)

prune547.0ms (2%)

localize28.0ms (0.1%)

rewrite156.0ms (0.6%)

series1.1s (4%)

simplify396.0ms (1.5%)

prune352.0ms (1.3%)

localize24.0ms (0.1%)

rewrite317.0ms (1.2%)

series10.7s (39.8%)

simplify2.4s (8.9%)

prune1.2s (4.4%)

regimes1.4s (5.2%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample2.2s (8.2%)

Profiling