Details

analyze147.0ms (7.9%)

Algorithm

1×	search
2×	egg-herbie

Rules

3×	`+-commutative_binary64_3418`
1×	`1-exp_binary64_3532` `sub-neg_binary64_3481`
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-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` `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` `associate-+l+_binary64_3421` `associate-+r+_binary64_3420` `-commutative_binary64_3419`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	16
1	15	16
2	16	16
3	14	16
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
25%	75%	0%	3
75%	25%	0%	4
87.5%	12.5%	0%	5
93.7%	6.2%	0%	6
96.8%	3.1%	0%	7
98.4%	1.6%	0%	8
99.2%	0.8%	0%	9
99.6%	0.4%	0%	10
99.8%	0.2%	0%	11
99.9%	0.1%	0%	12
99.9%	0%	0%	13
99.9%	0%	0%	14

Compiler

Compiled 12 to 10 computations (16.7% saved)

sample15.0ms (0.8%)

Algorithm

1×

intervals

Results

8.0ms

256×

body

128

valid

Compiler

Compiled 23 to 20 computations (13% saved)

simplify12.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

3×	`+-commutative_binary64_3418`
1×	`1-exp_binary64_3532` `sub-neg_binary64_3481`
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-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` `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` `associate-+l+_binary64_3421` `associate-+r+_binary64_3420` `-commutative_binary64_3419`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	16
1	15	16
2	16	16
3	14	16

prune2.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

2 → 1

Compiler

Compiled 22 to 18 computations (18.2% saved)

localize7.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
0.0b	(/.f64 x (+.f64 x 1))
0.0b	(/.f64 1 (-.f64 x 1))

rewrite168.0ms (9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

67×	`*-un-lft-identity_binary64_3488`
41×	`times-frac_binary64_3494`
40×	`add-sqr-sqrt_binary64_3510`
24×	`add-cube-cbrt_binary64_3523`
12×	`distribute-lft-out_binary64_3439`
11×	`associate-/r*_binary64_3432`
9×	`add-exp-log_binary64_3526`
8×	`difference-of-squares_binary64_3457`
7×	`add-cbrt-cube_binary64_3524`
6×	`distribute-lft-out--_binary64_3440` `associate-/l*_binary64_3433`
5×	`add-log-exp_binary64_3527`
4×	`pow1_binary64_3549` `difference-of-sqr-1_binary64_3458` `associate-/r/_binary64_3434`
3×	`div-exp_binary64_3539` `div-inv_binary64_3485`
2×	`cbrt-undiv_binary64_3522` `frac-2neg_binary64_3499` `clear-num_binary64_3487` `flip3-+_binary64_3491` `flip-+_binary64_3462`
1×	`inv-pow_binary64_3573` `pow-flip_binary64_3562` `1-exp_binary64_3532` `rec-exp_binary64_3538` `flip3--_binary64_3492` `flip--_binary64_3463` `sum-log_binary64_3579` `frac-add_binary64_3496` `+-commutative_binary64_3418`

Counts

3 → 100

Calls

3 calls:

35.0ms	(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
7.0ms	(/.f64 1 (-.f64 x 1))
5.0ms	(/.f64 x (+.f64 x 1))

Compiler

Compiled 1870 to 1402 computations (25% saved)

series196.0ms (10.5%)

Error

Counts

3 → 33

Calls

3 calls:

78.0ms	(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
43.0ms	(/.f64 x (+.f64 x 1))
42.0ms	(/.f64 1 (-.f64 x 1))

Compiler

Compiled 943 to 788 computations (16.4% saved)

simplify144.0ms (7.7%)

Algorithm

1×	egg-herbie

Rules

397×	`distribute-rgt-in_binary64_3438`
328×	`cancel-sign-sub-inv_binary64_3454`
294×	`associate-/r/_binary64_3434`
275×	`distribute-lft-in_binary64_3437`
246×	`div-sub_binary64_3493`
230×	`times-frac_binary64_3494`
172×	`associate-/l*_binary64_3433`
171×	`distribute-rgt-out_binary64_3441`
155×	`sub-neg_binary64_3481`
148×	`associate-/r*_binary64_3432`
121×	`distribute-rgt-neg-in_binary64_3446`
118×	`neg-mul-1_binary64_3484`
109×	`associate-+l+_binary64_3421`
102×	`associate-+r+_binary64_3420`
99×	`distribute-lft-neg-in_binary64_3445`
96×	`associate-l_binary64_3429` `associate-r_binary64_3428`
90×	`+-commutative_binary64_3418`
80×	`distribute-neg-frac_binary64_3452`
79×	`distribute-neg-in_binary64_3449`
77×	`unswap-sqr_binary64_3456`
71×	`*-commutative_binary64_3419`
66×	`associate-*l/_binary64_3431`
58×	`associate-/l/_binary64_3435`
57×	`associate-*r/_binary64_3430`
56×	`distribute-rgt-out--_binary64_3442`
52×	`distribute-lft-out_binary64_3439`
51×	`cube-prod_binary64_3516` `unsub-neg_binary64_3482`
47×	`associate--r+_binary64_3424`
41×	`log-prod_binary64_3574` `neg-sub0_binary64_3483`
40×	`unpow3_binary64_3554`
38×	`associate-+r-_binary64_3422`
34×	`sqr-pow_binary64_3460`
33×	`associate-+l-_binary64_3423`
30×	`log-div_binary64_3575` `cube-div_binary64_3517`
27×	`distribute-rgt1-in_binary64_3444`
25×	`*-rgt-identity_binary64_3478`
20×	`*-lft-identity_binary64_3477`
19×	`/-rgt-identity_binary64_3479` `+-rgt-identity_binary64_3473` `swap-sqr_binary64_3455` `associate--l+_binary64_3425`
18×	`exp-prod_binary64_3540`
16×	`sub0-neg_binary64_3475`
12×	`distribute-lft-neg-out_binary64_3447` `distribute-lft-out--_binary64_3440`
11×	`log-rec_binary64_3576` `cube-unmult_binary64_3525`
10×	`cube-mult_binary64_3518` `distribute-lft1-in_binary64_3443`
9×	`pow-plus_binary64_3551` `difference-of-squares_binary64_3457`
4×	`log-pow_binary64_3577` `distribute-neg-out_binary64_3450` `distribute-rgt-neg-out_binary64_3448`
3×	`unpow1/2_binary64_3552` `exp-sum_binary64_3534` `mul-1-neg_binary64_3480` `remove-double-div_binary64_3464` `difference-of-sqr--1_binary64_3459` `difference-of-sqr-1_binary64_3458`
2×	`sqr-neg_binary64_3502` `remove-double-neg_binary64_3476` `--rgt-identity_binary64_3474` `+-lft-identity_binary64_3472` `div0_binary64_3469` `count-2_binary64_3436` `associate--r-_binary64_3427` `associate--l-_binary64_3426`
1×	`unpow2_binary64_3553` `unpow1_binary64_3546` `prod-exp_binary64_3537` `exp-diff_binary64_3536` `1-exp_binary64_3532` `exp-1-e_binary64_3531` `rem-sqrt-square_binary64_3501` `mul0-rgt_binary64_3471` `mul0-lft_binary64_3470` `pow-sqr_binary64_3461`
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` `exp-to-pow_binary64_3550` `pow-base-1_binary64_3548` `unpow0_binary64_3547` `unpow-1_binary64_3545` `exp-lft-cube_binary64_3544` `exp-lft-sqr_binary64_3543` `exp-cbrt_binary64_3542` `exp-sqrt_binary64_3541` `div-exp_binary64_3539` `rec-exp_binary64_3538` `exp-neg_binary64_3535` `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` `rem-square-sqrt_binary64_3500` `*-inverses_binary64_3468` `+-inverses_binary64_3467` `lft-mult-inverse_binary64_3466` `rgt-mult-inverse_binary64_3465` `cancel-sign-sub_binary64_3453` `distribute-frac-neg_binary64_3451`

Counts

133 → 97

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	166	1900
1	381	1855
2	909	1848
3	2435	1840
4	4526	1840
5	4980	1840
6	4936	1840

prune101.0ms (5.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	95	2	97
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	95	3	98

Error

Counts

98 → 3

Compiler

Compiled 1655 to 1207 computations (27.1% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(.f64 2 (.f64 x x))

rewrite22.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

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` `add-sqr-sqrt_binary64_3510` `associate-l_binary64_3429`
2×	`add-cube-cbrt_binary64_3523` `*-un-lft-identity_binary64_3488`
1×	`add-log-exp_binary64_3527` `unswap-sqr_binary64_3456` `associate-r_binary64_3428` `*-commutative_binary64_3419`

Counts

1 → 19

Calls

1 calls:

6.0ms

(*.f64 2 (*.f64 x x))

Compiler

Compiled 231 to 151 computations (34.6% saved)

series40.0ms (2.2%)

Error

Counts

1 → 3

Calls

1 calls:

38.0ms

(*.f64 2 (*.f64 x x))

Compiler

Compiled 63 to 61 computations (3.2% saved)

simplify71.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

499×	`distribute-rgt-in_binary64_3438`
454×	`distribute-rgt-out_binary64_3441`
380×	`distribute-lft-in_binary64_3437`
359×	`log-prod_binary64_3574`
317×	`times-frac_binary64_3494`
226×	`log-div_binary64_3575`
214×	`*-commutative_binary64_3419`
182×	`sqr-pow_binary64_3460`
165×	`associate-l_binary64_3429`
150×	`associate-/l*_binary64_3433`
131×	`distribute-lft-out_binary64_3439`
125×	`associate-+l+_binary64_3421`
124×	`unswap-sqr_binary64_3456`
122×	`associate-r_binary64_3428`
99×	`associate-/l/_binary64_3435`
94×	`cube-prod_binary64_3516`
93×	`exp-prod_binary64_3540`
82×	`associate-+r+_binary64_3420`
78×	`pow-sqr_binary64_3461`
68×	`swap-sqr_binary64_3455`
65×	`associate-/r/_binary64_3434`
59×	`associate-/r*_binary64_3432`
55×	`cube-div_binary64_3517`
33×	`associate-*r/_binary64_3430`
27×	`log-pow_binary64_3577`
22×	`unpow3_binary64_3554`
20×	`count-2_binary64_3436`
18×	`cube-mult_binary64_3518` `distribute-rgt1-in_binary64_3444`
17×	`pow-plus_binary64_3551` `*-lft-identity_binary64_3477`
16×	`+-commutative_binary64_3418`
14×	`distribute-lft1-in_binary64_3443`
12×	`associate-*l/_binary64_3431`
10×	`*-rgt-identity_binary64_3478`
8×	`rem-sqrt-square_binary64_3501`
6×	`log-rec_binary64_3576` `cube-unmult_binary64_3525`
5×	`exp-lft-sqr_binary64_3543`
4×	`unpow1_binary64_3546` `exp-sqrt_binary64_3541` `/-rgt-identity_binary64_3479`
3×	`unpow2_binary64_3553` `unpow1/2_binary64_3552`
2×	`prod-exp_binary64_3537`
1×	`exp-sum_binary64_3534` `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` `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` `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` `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` `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

22 → 12

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	36	225
1	73	189
2	171	180
3	414	180
4	622	180
5	1024	180
6	2104	180
7	4656	180
8	5069	180

prune10.0ms (0.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	12	0	12
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	12	3	15

Error

Counts

15 → 3

Compiler

Compiled 113 to 86 computations (23.9% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.2b	(/.f64 2 (*.f64 x x))

rewrite24.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

6×	`add-exp-log_binary64_3526` `add-cbrt-cube_binary64_3524`
3×	`add-cube-cbrt_binary64_3523` `add-sqr-sqrt_binary64_3510` `times-frac_binary64_3494` `-un-lft-identity_binary64_3488` `associate-/l_binary64_3433`
2×	`div-exp_binary64_3539` `cbrt-undiv_binary64_3522`
1×	`pow1_binary64_3549` `prod-exp_binary64_3537` `add-log-exp_binary64_3527` `cbrt-unprod_binary64_3521` `frac-2neg_binary64_3499` `clear-num_binary64_3487` `div-inv_binary64_3485` `associate-/r*_binary64_3432`

Counts

1 → 21

Calls

1 calls:

7.0ms

(/.f64 2 (*.f64 x x))

Compiler

Compiled 256 to 172 computations (32.8% saved)

series34.0ms (1.8%)

Error

Counts

1 → 3

Calls

1 calls:

32.0ms

(/.f64 2 (*.f64 x x))

Compiler

Compiled 63 to 61 computations (3.2% saved)

simplify97.0ms (5.2%)

Algorithm

1×	egg-herbie

Rules

506×	`unsub-neg_binary64_3482`
375×	`distribute-neg-in_binary64_3449`
297×	`sub-neg_binary64_3481`
293×	`times-frac_binary64_3494`
269×	`associate-/l/_binary64_3435`
263×	`*-commutative_binary64_3419`
228×	`neg-sub0_binary64_3483`
225×	`neg-mul-1_binary64_3484`
178×	`unswap-sqr_binary64_3456`
170×	`associate-/l*_binary64_3433`
168×	`associate-/r*_binary64_3432`
154×	`sqr-pow_binary64_3460`
147×	`associate-l_binary64_3429`
136×	`distribute-rgt-in_binary64_3438`
131×	`associate-*l/_binary64_3431`
126×	`cancel-sign-sub_binary64_3453`
114×	`cancel-sign-sub-inv_binary64_3454`
107×	`associate--l+_binary64_3425`
106×	`distribute-lft-in_binary64_3437`
105×	`associate-+l+_binary64_3421`
103×	`distribute-lft-neg-in_binary64_3445`
101×	`associate-r_binary64_3428`
98×	`log-prod_binary64_3574`
97×	`associate--r+_binary64_3424`
96×	`distribute-rgt-neg-in_binary64_3446`
94×	`distribute-neg-out_binary64_3450`
80×	`div-sub_binary64_3493`
77×	`cube-prod_binary64_3516`
66×	`associate-*r/_binary64_3430`
65×	`associate-+r+_binary64_3420`
64×	`associate-/r/_binary64_3434`
61×	`distribute-rgt-out_binary64_3441`
57×	`distribute-rgt-out--_binary64_3442` `associate--l-_binary64_3426`
53×	`distribute-lft-out--_binary64_3440`
52×	`associate-+l-_binary64_3423`
49×	`unpow3_binary64_3554` `pow-sqr_binary64_3461`
44×	`log-pow_binary64_3577`
41×	`cube-mult_binary64_3518`
40×	`distribute-lft-neg-out_binary64_3447`
39×	`distribute-lft-out_binary64_3439`
38×	`associate--r-_binary64_3427`
35×	`pow-plus_binary64_3551`
33×	`swap-sqr_binary64_3455`
31×	`distribute-rgt-neg-out_binary64_3448`
27×	`remove-double-neg_binary64_3476`
24×	`+-commutative_binary64_3418`
23×	`mul0-rgt_binary64_3471` `mul0-lft_binary64_3470`
22×	`div0_binary64_3469`
18×	`log-div_binary64_3575`
17×	`cube-div_binary64_3517`
16×	`*-rgt-identity_binary64_3478`
15×	`*-lft-identity_binary64_3477`
14×	`sub0-neg_binary64_3475` `associate-+r-_binary64_3422`
13×	`+-rgt-identity_binary64_3473`
11×	`count-2_binary64_3436`
10×	`--rgt-identity_binary64_3474`
9×	`cube-unmult_binary64_3525` `distribute-rgt1-in_binary64_3444`
6×	`distribute-lft1-in_binary64_3443`
5×	`unpow2_binary64_3553` `unpow1_binary64_3546` `+-lft-identity_binary64_3472`
3×	`unpow1/2_binary64_3552`
1×	`1-exp_binary64_3532` `rem-sqrt-square_binary64_3501`
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-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-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` `/-rgt-identity_binary64_3479` `*-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` `distribute-neg-frac_binary64_3452` `distribute-frac-neg_binary64_3451`

Counts

24 → 13

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	46	266
1	85	221
2	164	212
3	417	212
4	1550	212
5	2093	212
6	3414	212
7	3973	212
8	4671	212
9	4675	212

prune9.0ms (0.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	13	0	13
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	13	3	16

Error

Counts

16 → 3

Compiler

Compiled 114 to 87 computations (23.7% saved)

regimes59.0ms (3.1%)

Accuracy

Total 0.0b remaining (99.1%)

Threshold costs 0.0b (99.1%)

Compiler

Compiled 496 to 406 computations (18.1% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

4×	`+-commutative_binary64_3418`
2×	`neg-mul-1_binary64_3484` `neg-sub0_binary64_3483` `sub-neg_binary64_3481` `-rgt-identity_binary64_3478` `-commutative_binary64_3419`
1×	`1-exp_binary64_3532` `unsub-neg_binary64_3482` `distribute-rgt-neg-out_binary64_3448`
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` `exp-1-e_binary64_3531` `exp-0_binary64_3530` `sqr-abs_binary64_3503` `sqr-neg_binary64_3502` `mul-1-neg_binary64_3480` `/-rgt-identity_binary64_3479` `*-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-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	54
1	18	54
2	22	54
3	24	54
4	27	54
5	26	54
6	24	54

end0.0ms (0%)

sample694.0ms (37.2%)

Algorithm

1×

intervals

Results

234.0ms

8000×

body

128

valid

Compiler

Compiled 284 to 232 computations (18.3% saved)

Details

analyze147.0ms (7.9%)

sample15.0ms (0.8%)

simplify12.0ms (0.7%)

prune2.0ms (0.1%)

localize7.0ms (0.4%)

rewrite168.0ms (9%)

series196.0ms (10.5%)

simplify144.0ms (7.7%)

prune101.0ms (5.4%)

localize4.0ms (0.2%)

rewrite22.0ms (1.2%)

series40.0ms (2.2%)

simplify71.0ms (3.8%)

prune10.0ms (0.5%)

localize4.0ms (0.2%)

rewrite24.0ms (1.3%)

series34.0ms (1.8%)

simplify97.0ms (5.2%)

prune9.0ms (0.5%)

regimes59.0ms (3.1%)

bsearch0.0ms (0%)

simplify4.0ms (0.2%)

end0.0ms (0%)

sample694.0ms (37.2%)

Profiling