Details

analyze3.0ms (0%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
50%	50%	0%	2
50%	25%	25%	3
62.5%	12.5%	25%	4
68.7%	6.2%	25%	5
71.8%	3.1%	25%	6
73.4%	1.6%	25%	7
74.2%	0.8%	25%	8
74.6%	0.4%	25%	9
74.8%	0.2%	25%	10
74.9%	0.1%	25%	11
74.9%	0%	25%	12
74.9%	0%	25%	13
74.9%	0%	25%	14

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample14.0ms (0.2%)

Algorithm

1×

intervals

Results

7.0ms

256×

body

128

valid

Compiler

Compiled 17 to 16 computations (5.9% saved)

simplify154.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary64_3418`
1×	`1-exp_binary64_3532`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_3751` `erf-erfc_binary64_3750` `erf-odd_binary64_3749` `if-if-and-not_binary64_3748` `if-if-and_binary64_3747` `if-if-or-not_binary64_3746` `if-if-or_binary64_3745` `if-not_binary64_3744` `if-same_binary64_3743` `if-false_binary64_3742` `if-true_binary64_3741` `not-gte_binary64_3740` `not-lte_binary64_3739` `not-gt_binary64_3738` `not-lt_binary64_3737` `gte-same_binary64_3736` `lte-same_binary64_3735` `gt-same_binary64_3734` `lt-same_binary64_3733` `sinh---cosh_binary64_3680` `sinh-+-cosh_binary64_3679` `sinh-cosh_binary64_3678` `tanh-def-c_binary64_3677` `tanh-def-b_binary64_3676` `tanh-def-a_binary64_3675` `cosh-def_binary64_3674` `sinh-def_binary64_3673` `tan-neg_binary64_3620` `cos-neg_binary64_3619` `sin-neg_binary64_3618` `tan-0_binary64_3617` `cos-0_binary64_3616` `sin-0_binary64_3615` `hang-m-tan_binary64_3614` `hang-p-tan_binary64_3613` `hang-m0-tan_binary64_3612` `hang-p0-tan_binary64_3611` `hang-0m-tan_binary64_3610` `hang-0p-tan_binary64_3609` `tan-+PI/2_binary64_3608` `tan-+PI_binary64_3607` `tan-PI_binary64_3606` `tan-PI/3_binary64_3605` `tan-PI/4_binary64_3604` `tan-PI/6_binary64_3603` `cos-+PI/2_binary64_3602` `cos-+PI_binary64_3601` `cos-PI_binary64_3600` `cos-PI/2_binary64_3599` `cos-PI/3_binary64_3598` `cos-PI/4_binary64_3597` `cos-PI/6_binary64_3596` `sin-+PI/2_binary64_3595` `sin-+PI_binary64_3594` `sin-PI_binary64_3593` `sin-PI/2_binary64_3592` `sin-PI/3_binary64_3591` `sin-PI/4_binary64_3590` `sin-PI/6_binary64_3589` `sub-1-sin_binary64_3588` `sub-1-cos_binary64_3587` `-1-add-sin_binary64_3586` `-1-add-cos_binary64_3585` `1-sub-sin_binary64_3584` `1-sub-cos_binary64_3583` `cos-sin-sum_binary64_3582` `log-E_binary64_3578` `log-pow_binary64_3577` `log-rec_binary64_3576` `log-div_binary64_3575` `log-prod_binary64_3574` `pow-base-0_binary64_3572` `unpow1/3_binary64_3555` `unpow3_binary64_3554` `unpow2_binary64_3553` `unpow1/2_binary64_3552` `pow-plus_binary64_3551` `exp-to-pow_binary64_3550` `pow-base-1_binary64_3548` `unpow0_binary64_3547` `unpow1_binary64_3546` `unpow-1_binary64_3545` `exp-lft-cube_binary64_3544` `exp-lft-sqr_binary64_3543` `exp-cbrt_binary64_3542` `exp-sqrt_binary64_3541` `exp-prod_binary64_3540` `div-exp_binary64_3539` `rec-exp_binary64_3538` `prod-exp_binary64_3537` `exp-diff_binary64_3536` `exp-neg_binary64_3535` `exp-sum_binary64_3534` `e-exp-1_binary64_3533` `exp-1-e_binary64_3531` `exp-0_binary64_3530` `rem-log-exp_binary64_3529` `rem-exp-log_binary64_3528` `cube-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` `associate-+l+_binary64_3421` `associate-+r+_binary64_3420` `-commutative_binary64_3419`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	12
1	11	12

prune6.0ms (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 8 to 7 computations (12.5% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(sqrt.f64 (+.f64 x 1))
0.0b	(+.f64 1 (sqrt.f64 (+.f64 x 1)))
0.2b	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))

rewrite106.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

42×	`*-un-lft-identity_binary64_3488`
26×	`add-sqr-sqrt_binary64_3510`
21×	`distribute-lft-out_binary64_3439`
18×	`times-frac_binary64_3494`
15×	`add-cube-cbrt_binary64_3523`
14×	`sqrt-prod_binary64_3504`
6×	`associate-/r*_binary64_3432`
5×	`add-exp-log_binary64_3526` `add-log-exp_binary64_3527` `add-cbrt-cube_binary64_3524`
4×	`pow1_binary64_3549`
3×	`flip3-+_binary64_3491` `flip-+_binary64_3462` `associate-/l*_binary64_3433`
2×	`associate-/r/_binary64_3434` `sqrt-div_binary64_3505`
1×	`div-exp_binary64_3539` `cbrt-undiv_binary64_3522` `frac-2neg_binary64_3499` `clear-num_binary64_3487` `div-inv_binary64_3485` `sum-log_binary64_3579` `+-commutative_binary64_3418` `pow1/2_binary64_3568` `sqrt-pow1_binary64_3506` `rem-sqrt-square_binary64_3501`

Counts

3 → 71

Calls

3 calls:

8.0ms	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
6.0ms	(+.f64 1 (sqrt.f64 (+.f64 x 1)))
3.0ms	(sqrt.f64 (+.f64 x 1))

Compiler

Compiled 1133 to 876 computations (22.7% saved)

series109.0ms (1.7%)

Error

0.2b

Counts

3 → 18

Calls

3 calls:

54.0ms	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
21.0ms	(+.f64 1 (sqrt.f64 (+.f64 x 1)))
19.0ms	(sqrt.f64 (+.f64 x 1))

Compiler

Compiled 446 to 364 computations (18.4% saved)

simplify220.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

590×	`distribute-rgt-in_binary64_3438`
483×	`distribute-lft-in_binary64_3437`
275×	`cancel-sign-sub-inv_binary64_3454`
241×	`times-frac_binary64_3494`
167×	`distribute-rgt-out_binary64_3441`
145×	`associate-/l*_binary64_3433`
125×	`sub-neg_binary64_3481`
111×	`distribute-rgt-out--_binary64_3442`
104×	`associate--l+_binary64_3425`
89×	`associate--l-_binary64_3426`
83×	`associate-/l/_binary64_3435`
78×	`associate-/r*_binary64_3432`
76×	`associate-*l/_binary64_3431`
68×	`associate--r+_binary64_3424`
66×	`associate-*r/_binary64_3430`
65×	`associate-r_binary64_3428`
62×	`associate-l_binary64_3429`
61×	`associate-/r/_binary64_3434`
59×	`sqr-pow_binary64_3460`
57×	`+-commutative_binary64_3418`
54×	`div-sub_binary64_3493`
52×	`*-commutative_binary64_3419`
48×	`associate-+r+_binary64_3420`
47×	`unsub-neg_binary64_3482` `unswap-sqr_binary64_3456` `distribute-rgt-neg-in_binary64_3446`
39×	`pow-sqr_binary64_3461` `associate-+l+_binary64_3421`
37×	`distribute-lft-neg-in_binary64_3445`
32×	`associate-+l-_binary64_3423`
31×	`log-div_binary64_3575`
29×	`log-prod_binary64_3574` `cube-div_binary64_3517`
28×	`distribute-neg-frac_binary64_3452` `distribute-rgt1-in_binary64_3444` `associate-+r-_binary64_3422`
26×	`*-rgt-identity_binary64_3478`
25×	`distribute-lft-out_binary64_3439`
24×	`cube-prod_binary64_3516`
23×	`exp-prod_binary64_3540`
21×	`neg-mul-1_binary64_3484` `+-rgt-identity_binary64_3473`
20×	`pow-plus_binary64_3551` `neg-sub0_binary64_3483`
19×	`swap-sqr_binary64_3455` `distribute-lft-neg-out_binary64_3447`
18×	`sub0-neg_binary64_3475`
17×	`prod-exp_binary64_3537`
16×	`log-pow_binary64_3577` `div-exp_binary64_3539` `/-rgt-identity_binary64_3479`
15×	`distribute-neg-in_binary64_3449` `associate--r-_binary64_3427`
13×	`*-lft-identity_binary64_3477`
12×	`distribute-lft-out--_binary64_3440`
9×	`distribute-neg-out_binary64_3450`
8×	`exp-sqrt_binary64_3541` `distribute-rgt-neg-out_binary64_3448`
7×	`log-rec_binary64_3576` `cancel-sign-sub_binary64_3453` `distribute-lft1-in_binary64_3443`
6×	`unpow3_binary64_3554` `pow-base-1_binary64_3548` `cube-unmult_binary64_3525` `cube-mult_binary64_3518` `difference-of-squares_binary64_3457`
5×	`difference-of-sqr-1_binary64_3458`
4×	`exp-lft-sqr_binary64_3543` `rec-exp_binary64_3538` `rem-sqrt-square_binary64_3501`
3×	`exp-sum_binary64_3534` `remove-double-div_binary64_3464`
2×	`exp-diff_binary64_3536` `*-inverses_binary64_3468` `distribute-frac-neg_binary64_3451`
1×	`unpow2_binary64_3553` `unpow1_binary64_3546` `1-exp_binary64_3532` `exp-1-e_binary64_3531` `rem-log-exp_binary64_3529` `rem-square-sqrt_binary64_3500` `div0_binary64_3469` `+-inverses_binary64_3467` `rgt-mult-inverse_binary64_3465` `count-2_binary64_3436`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_3751` `erf-erfc_binary64_3750` `erf-odd_binary64_3749` `if-if-and-not_binary64_3748` `if-if-and_binary64_3747` `if-if-or-not_binary64_3746` `if-if-or_binary64_3745` `if-not_binary64_3744` `if-same_binary64_3743` `if-false_binary64_3742` `if-true_binary64_3741` `not-gte_binary64_3740` `not-lte_binary64_3739` `not-gt_binary64_3738` `not-lt_binary64_3737` `gte-same_binary64_3736` `lte-same_binary64_3735` `gt-same_binary64_3734` `lt-same_binary64_3733` `sinh---cosh_binary64_3680` `sinh-+-cosh_binary64_3679` `sinh-cosh_binary64_3678` `tanh-def-c_binary64_3677` `tanh-def-b_binary64_3676` `tanh-def-a_binary64_3675` `cosh-def_binary64_3674` `sinh-def_binary64_3673` `tan-neg_binary64_3620` `cos-neg_binary64_3619` `sin-neg_binary64_3618` `tan-0_binary64_3617` `cos-0_binary64_3616` `sin-0_binary64_3615` `hang-m-tan_binary64_3614` `hang-p-tan_binary64_3613` `hang-m0-tan_binary64_3612` `hang-p0-tan_binary64_3611` `hang-0m-tan_binary64_3610` `hang-0p-tan_binary64_3609` `tan-+PI/2_binary64_3608` `tan-+PI_binary64_3607` `tan-PI_binary64_3606` `tan-PI/3_binary64_3605` `tan-PI/4_binary64_3604` `tan-PI/6_binary64_3603` `cos-+PI/2_binary64_3602` `cos-+PI_binary64_3601` `cos-PI_binary64_3600` `cos-PI/2_binary64_3599` `cos-PI/3_binary64_3598` `cos-PI/4_binary64_3597` `cos-PI/6_binary64_3596` `sin-+PI/2_binary64_3595` `sin-+PI_binary64_3594` `sin-PI_binary64_3593` `sin-PI/2_binary64_3592` `sin-PI/3_binary64_3591` `sin-PI/4_binary64_3590` `sin-PI/6_binary64_3589` `sub-1-sin_binary64_3588` `sub-1-cos_binary64_3587` `-1-add-sin_binary64_3586` `-1-add-cos_binary64_3585` `1-sub-sin_binary64_3584` `1-sub-cos_binary64_3583` `cos-sin-sum_binary64_3582` `log-E_binary64_3578` `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-cbrt_binary64_3542` `exp-neg_binary64_3535` `e-exp-1_binary64_3533` `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` `mul-1-neg_binary64_3480` `remove-double-neg_binary64_3476` `--rgt-identity_binary64_3474` `+-lft-identity_binary64_3472` `mul0-rgt_binary64_3471` `mul0-lft_binary64_3470` `lft-mult-inverse_binary64_3466` `difference-of-sqr--1_binary64_3459`

Counts

89 → 90

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	129	1381
1	278	1312
2	709	1282
3	1858	1268

prune112.0ms (1.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	87	3	90
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	87	4	91

Error

Counts

91 → 4

Compiler

Compiled 1577 to 1132 computations (28.2% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 (fabs.f64 (cbrt.f64 (+.f64 x 1))) (sqrt.f64 (cbrt.f64 (+.f64 x 1))))
0.2b	(cbrt.f64 (+.f64 x 1))
0.2b	(cbrt.f64 (+.f64 x 1))
0.2b	(/.f64 x (+.f64 1 (*.f64 (fabs.f64 (cbrt.f64 (+.f64 x 1))) (sqrt.f64 (cbrt.f64 (+.f64 x 1))))))

rewrite168.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

24×	`add-sqr-sqrt_binary64_3510` `*-un-lft-identity_binary64_3488`
18×	`add-cube-cbrt_binary64_3523`
13×	`cbrt-prod_binary64_3519`
10×	`associate-r_binary64_3428`
9×	`times-frac_binary64_3494` `sqrt-prod_binary64_3504`
8×	`add-exp-log_binary64_3526` `add-cbrt-cube_binary64_3524`
6×	`pow1_binary64_3549` `cbrt-div_binary64_3520`
4×	`add-log-exp_binary64_3527` `flip3-+_binary64_3491` `flip-+_binary64_3462`
3×	`associate-/l_binary64_3433` `associate-/r_binary64_3432` `distribute-lft-out_binary64_3439` `unswap-sqr_binary64_3456` `associate-l_binary64_3429`
2×	`associate-/r/_binary64_3434` `pow1/3_binary64_3570` `sqrt-div_binary64_3505` `associate-*r/_binary64_3430`
1×	`div-exp_binary64_3539` `cbrt-undiv_binary64_3522` `frac-2neg_binary64_3499` `clear-num_binary64_3487` `div-inv_binary64_3485` `pow-prod-down_binary64_3559` `prod-exp_binary64_3537` `cbrt-unprod_binary64_3521` `*-commutative_binary64_3419`

Counts

4 → 86

Calls

4 calls:

9.0ms	(*.f64 (fabs.f64 (cbrt.f64 (+.f64 x 1))) (sqrt.f64 (cbrt.f64 (+.f64 x 1))))
4.0ms	(/.f64 x (+.f64 1 (*.f64 (fabs.f64 (cbrt.f64 (+.f64 x 1))) (sqrt.f64 (cbrt.f64 (+.f64 x 1))))))
3.0ms	(cbrt.f64 (+.f64 x 1))
3.0ms	(cbrt.f64 (+.f64 x 1))

Compiler

Compiled 2214 to 1800 computations (18.7% saved)

series954.0ms (14.7%)

Error

Counts

4 → 36

Calls

4 calls:

610.0ms	(/.f64 x (+.f64 1 (*.f64 (fabs.f64 (cbrt.f64 (+.f64 x 1))) (sqrt.f64 (cbrt.f64 (+.f64 x 1))))))
121.0ms	(*.f64 (fabs.f64 (cbrt.f64 (+.f64 x 1))) (sqrt.f64 (cbrt.f64 (+.f64 x 1))))
72.0ms	(cbrt.f64 (+.f64 x 1))
66.0ms	(cbrt.f64 (+.f64 x 1))

Compiler

Compiled 2980 to 2578 computations (13.5% saved)

simplify573.0ms (8.8%)

Algorithm

1×	egg-herbie

Rules

631×	`associate-/r*_binary64_3432`
274×	`associate-/r/_binary64_3434`
272×	`cancel-sign-sub-inv_binary64_3454`
230×	`unswap-sqr_binary64_3456`
201×	`associate-/l/_binary64_3435`
190×	`associate-r_binary64_3428`
166×	`associate-l_binary64_3429`
141×	`times-frac_binary64_3494`
132×	`distribute-rgt-neg-in_binary64_3446`
126×	`sqr-pow_binary64_3460`
123×	`distribute-rgt-in_binary64_3438`
113×	`associate-/l*_binary64_3433`
102×	`distribute-lft-neg-in_binary64_3445`
100×	`sub-neg_binary64_3481`
99×	`*-commutative_binary64_3419`
96×	`distribute-lft-in_binary64_3437`
79×	`+-commutative_binary64_3418`
65×	`pow-sqr_binary64_3461`
49×	`associate--l+_binary64_3425`
48×	`*-rgt-identity_binary64_3478`
47×	`neg-mul-1_binary64_3484` `distribute-neg-in_binary64_3449`
46×	`neg-sub0_binary64_3483`
44×	`distribute-rgt-out_binary64_3441`
42×	`log-prod_binary64_3574`
41×	`associate-*l/_binary64_3431`
39×	`associate-+l+_binary64_3421`
37×	`associate-*r/_binary64_3430`
31×	`distribute-neg-frac_binary64_3452`
27×	`*-lft-identity_binary64_3477` `associate-+r+_binary64_3420`
24×	`prod-exp_binary64_3537` `distribute-lft-neg-out_binary64_3447`
23×	`distribute-rgt-out--_binary64_3442`
22×	`unsub-neg_binary64_3482`
21×	`/-rgt-identity_binary64_3479` `associate--r+_binary64_3424`
20×	`distribute-lft-out_binary64_3439`
18×	`pow-plus_binary64_3551`
16×	`exp-prod_binary64_3540` `div-exp_binary64_3539`
13×	`cube-prod_binary64_3516`
11×	`log-div_binary64_3575` `rem-sqrt-square_binary64_3501`
10×	`div-sub_binary64_3493`
9×	`log-pow_binary64_3577` `distribute-rgt1-in_binary64_3444` `distribute-lft-out--_binary64_3440`
7×	`unpow3_binary64_3554` `exp-sum_binary64_3534` `cube-unmult_binary64_3525` `difference-of-squares_binary64_3457`
6×	`unpow1/3_binary64_3555` `cube-mult_binary64_3518` `cube-div_binary64_3517`
5×	`swap-sqr_binary64_3455`
4×	`unpow2_binary64_3553` `unpow1_binary64_3546` `rec-exp_binary64_3538`
3×	`log-rec_binary64_3576` `pow-base-1_binary64_3548` `difference-of-sqr-1_binary64_3458` `distribute-rgt-neg-out_binary64_3448` `count-2_binary64_3436`
2×	`+-inverses_binary64_3467` `associate-+r-_binary64_3422`
1×	`exp-sqrt_binary64_3541` `exp-diff_binary64_3536` `1-exp_binary64_3532` `exp-1-e_binary64_3531` `rem-log-exp_binary64_3529` `rem-3cbrt-lft_binary64_3513` `rem-cbrt-cube_binary64_3512` `sqr-abs_binary64_3503` `rem-square-sqrt_binary64_3500` `+-rgt-identity_binary64_3473` `*-inverses_binary64_3468` `associate--r-_binary64_3427` `associate-+l-_binary64_3423`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_3751` `erf-erfc_binary64_3750` `erf-odd_binary64_3749` `if-if-and-not_binary64_3748` `if-if-and_binary64_3747` `if-if-or-not_binary64_3746` `if-if-or_binary64_3745` `if-not_binary64_3744` `if-same_binary64_3743` `if-false_binary64_3742` `if-true_binary64_3741` `not-gte_binary64_3740` `not-lte_binary64_3739` `not-gt_binary64_3738` `not-lt_binary64_3737` `gte-same_binary64_3736` `lte-same_binary64_3735` `gt-same_binary64_3734` `lt-same_binary64_3733` `sinh---cosh_binary64_3680` `sinh-+-cosh_binary64_3679` `sinh-cosh_binary64_3678` `tanh-def-c_binary64_3677` `tanh-def-b_binary64_3676` `tanh-def-a_binary64_3675` `cosh-def_binary64_3674` `sinh-def_binary64_3673` `tan-neg_binary64_3620` `cos-neg_binary64_3619` `sin-neg_binary64_3618` `tan-0_binary64_3617` `cos-0_binary64_3616` `sin-0_binary64_3615` `hang-m-tan_binary64_3614` `hang-p-tan_binary64_3613` `hang-m0-tan_binary64_3612` `hang-p0-tan_binary64_3611` `hang-0m-tan_binary64_3610` `hang-0p-tan_binary64_3609` `tan-+PI/2_binary64_3608` `tan-+PI_binary64_3607` `tan-PI_binary64_3606` `tan-PI/3_binary64_3605` `tan-PI/4_binary64_3604` `tan-PI/6_binary64_3603` `cos-+PI/2_binary64_3602` `cos-+PI_binary64_3601` `cos-PI_binary64_3600` `cos-PI/2_binary64_3599` `cos-PI/3_binary64_3598` `cos-PI/4_binary64_3597` `cos-PI/6_binary64_3596` `sin-+PI/2_binary64_3595` `sin-+PI_binary64_3594` `sin-PI_binary64_3593` `sin-PI/2_binary64_3592` `sin-PI/3_binary64_3591` `sin-PI/4_binary64_3590` `sin-PI/6_binary64_3589` `sub-1-sin_binary64_3588` `sub-1-cos_binary64_3587` `-1-add-sin_binary64_3586` `-1-add-cos_binary64_3585` `1-sub-sin_binary64_3584` `1-sub-cos_binary64_3583` `cos-sin-sum_binary64_3582` `log-E_binary64_3578` `pow-base-0_binary64_3572` `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-neg_binary64_3535` `e-exp-1_binary64_3533` `exp-0_binary64_3530` `rem-exp-log_binary64_3528` `cube-neg_binary64_3515` `rem-3cbrt-rft_binary64_3514` `rem-cube-cbrt_binary64_3511` `sqr-neg_binary64_3502` `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` `lft-mult-inverse_binary64_3466` `rgt-mult-inverse_binary64_3465` `remove-double-div_binary64_3464` `difference-of-sqr--1_binary64_3459` `cancel-sign-sub_binary64_3453` `distribute-frac-neg_binary64_3451` `distribute-neg-out_binary64_3450` `distribute-lft1-in_binary64_3443` `associate--l-_binary64_3426`

Counts

122 → 138

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	272	3751
1	673	3605
2	2571	3429

prune335.0ms (5.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	138	0	138
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	138	4	142

Error

Counts

142 → 4

Compiler

Compiled 4768 to 3833 computations (19.6% saved)

localize7.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (+.f64 x 1))
0.0b	(+.f64 1 (sqrt.f64 (+.f64 x 1)))
0.0b	(/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
0.1b	(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))

rewrite248.0ms (3.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

119×	`*-un-lft-identity_binary64_3488`
92×	`add-sqr-sqrt_binary64_3510`
79×	`sqrt-prod_binary64_3504`
76×	`times-frac_binary64_3494`
57×	`distribute-lft-out_binary64_3439`
47×	`add-cube-cbrt_binary64_3523`
42×	`associate-r_binary64_3428`
11×	`add-exp-log_binary64_3526` `add-cbrt-cube_binary64_3524`
7×	`pow1_binary64_3549`
6×	`add-log-exp_binary64_3527` `unswap-sqr_binary64_3456` `associate-l_binary64_3429` `associate-/l_binary64_3433` `associate-/r_binary64_3432`
4×	`flip3-+_binary64_3491` `associate-/r/_binary64_3434` `flip-+_binary64_3462`
2×	`div-exp_binary64_3539` `prod-exp_binary64_3537` `cbrt-unprod_binary64_3521` `cbrt-undiv_binary64_3522` `div-inv_binary64_3485` `sqrt-div_binary64_3505`
1×	`pow-prod-down_binary64_3559` `associate-r/_binary64_3430` `-commutative_binary64_3419` `frac-2neg_binary64_3499` `clear-num_binary64_3487` `sum-log_binary64_3579` `+-commutative_binary64_3418` `pow1/2_binary64_3568` `sqrt-pow1_binary64_3506` `rem-sqrt-square_binary64_3501`

Counts

4 → 160

Calls

4 calls:

23.0ms	(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
9.0ms	(/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
6.0ms	(+.f64 1 (sqrt.f64 (+.f64 x 1)))
3.0ms	(sqrt.f64 (+.f64 x 1))

Compiler

Compiled 3521 to 2199 computations (37.5% saved)

series188.0ms (2.9%)

Error

Counts

4 → 19

Calls

4 calls:

67.0ms	(/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
58.0ms	(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
25.0ms	(+.f64 1 (sqrt.f64 (+.f64 x 1)))
24.0ms	(sqrt.f64 (+.f64 x 1))

Compiler

Compiled 692 to 512 computations (26% saved)

simplify607.0ms (9.3%)

Algorithm

1×	egg-herbie

Rules

387×	`associate-/r/_binary64_3434`
333×	`cancel-sign-sub-inv_binary64_3454`
323×	`associate-/r*_binary64_3432`
293×	`unswap-sqr_binary64_3456`
197×	`*-commutative_binary64_3419`
196×	`distribute-rgt-out_binary64_3441`
153×	`sub-neg_binary64_3481`
138×	`distribute-rgt-out--_binary64_3442`
112×	`div-sub_binary64_3493`
109×	`associate-l_binary64_3429`
96×	`sqr-pow_binary64_3460`
95×	`associate-*r/_binary64_3430`
94×	`associate-/l*_binary64_3433`
86×	`distribute-rgt-neg-in_binary64_3446`
85×	`log-prod_binary64_3574` `associate-*l/_binary64_3431`
81×	`associate-r_binary64_3428`
74×	`cube-prod_binary64_3516` `distribute-lft-neg-in_binary64_3445`
67×	`log-div_binary64_3575`
65×	`associate-/l/_binary64_3435`
59×	`cube-div_binary64_3517` `distribute-rgt-in_binary64_3438`
58×	`exp-prod_binary64_3540`
56×	`/-rgt-identity_binary64_3479`
53×	`pow-sqr_binary64_3461`
48×	`unsub-neg_binary64_3482`
45×	`*-rgt-identity_binary64_3478` `swap-sqr_binary64_3455`
44×	`difference-of-squares_binary64_3457`
43×	`+-commutative_binary64_3418`
42×	`distribute-lft-in_binary64_3437`
40×	`associate-+l+_binary64_3421`
38×	`*-lft-identity_binary64_3477`
36×	`distribute-neg-frac_binary64_3452`
35×	`neg-mul-1_binary64_3484`
34×	`associate-+l-_binary64_3423` `associate-+r+_binary64_3420`
32×	`times-frac_binary64_3494`
31×	`associate-+r-_binary64_3422`
29×	`neg-sub0_binary64_3483` `distribute-rgt1-in_binary64_3444`
24×	`associate--l+_binary64_3425`
23×	`pow-plus_binary64_3551`
20×	`distribute-neg-in_binary64_3449`
17×	`log-pow_binary64_3577` `prod-exp_binary64_3537` `sub0-neg_binary64_3475` `+-rgt-identity_binary64_3473` `distribute-neg-out_binary64_3450` `distribute-lft-neg-out_binary64_3447`
16×	`div-exp_binary64_3539`
15×	`unpow3_binary64_3554` `cube-mult_binary64_3518`
11×	`associate--r+_binary64_3424`
9×	`exp-lft-sqr_binary64_3543` `distribute-frac-neg_binary64_3451` `distribute-lft1-in_binary64_3443`
8×	`rem-sqrt-square_binary64_3501` `cancel-sign-sub_binary64_3453` `distribute-rgt-neg-out_binary64_3448`
7×	`log-rec_binary64_3576` `pow-base-1_binary64_3548` `difference-of-sqr-1_binary64_3458`
5×	`cube-unmult_binary64_3525`
4×	`rec-exp_binary64_3538` `distribute-lft-out--_binary64_3440`
3×	`exp-diff_binary64_3536` `rem-square-sqrt_binary64_3500` `*-inverses_binary64_3468` `difference-of-sqr--1_binary64_3459` `distribute-lft-out_binary64_3439` `count-2_binary64_3436` `associate--l-_binary64_3426`
2×	`unpow2_binary64_3553` `unpow1_binary64_3546` `exp-sum_binary64_3534` `mul0-lft_binary64_3470` `div0_binary64_3469` `+-inverses_binary64_3467` `associate--r-_binary64_3427`
1×	`exp-sqrt_binary64_3541` `1-exp_binary64_3532` `exp-1-e_binary64_3531` `rem-log-exp_binary64_3529` `sqr-abs_binary64_3503` `mul0-rgt_binary64_3471` `rgt-mult-inverse_binary64_3465` `remove-double-div_binary64_3464`
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` `unpow0_binary64_3547` `unpow-1_binary64_3545` `exp-lft-cube_binary64_3544` `exp-cbrt_binary64_3542` `exp-neg_binary64_3535` `e-exp-1_binary64_3533` `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-neg_binary64_3502` `mul-1-neg_binary64_3480` `remove-double-neg_binary64_3476` `--rgt-identity_binary64_3474` `+-lft-identity_binary64_3472` `lft-mult-inverse_binary64_3466`

Counts

179 → 215

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	189	3436
1	412	3190
2	1420	3130
3	2807	3128

prune275.0ms (4.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	215	0	215
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	215	4	219

Error

Counts

219 → 4

Compiler

Compiled 4515 to 2861 computations (36.6% saved)

localize11.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(.f64 (.f64 x x) (-.f64 (*.f64 x 1/16) 1/8))
0.0b	(*.f64 5/128 (pow.f64 x 4))
15.3b	(-.f64 (.f64 (.f64 x x) (-.f64 (.f64 x 1/16) 1/8)) (.f64 5/128 (pow.f64 x 4)))

rewrite152.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

17×	`add-sqr-sqrt_binary64_3510`
13×	`add-exp-log_binary64_3526` `cancel-sign-sub-inv_binary64_3454`
11×	`add-cube-cbrt_binary64_3523` `*-un-lft-identity_binary64_3488`
10×	`add-cbrt-cube_binary64_3524` `associate-r_binary64_3428`
8×	`pow1_binary64_3549` `distribute-rgt-in_binary64_3438` `associate--l+_binary64_3425` `distribute-lft-in_binary64_3437`
6×	`prod-exp_binary64_3537`
5×	`add-log-exp_binary64_3527` `sub-neg_binary64_3481`
4×	`cbrt-unprod_binary64_3521` `unpow-prod-down_binary64_3567` `unswap-sqr_binary64_3456` `associate-l_binary64_3429`
3×	`pow-prod-down_binary64_3559`
2×	`flip3--_binary64_3492` `flip--_binary64_3463` `sqr-pow_binary64_3460` `-commutative_binary64_3419` `associate-r/_binary64_3430`
1×	`diff-log_binary64_3580` `pow-to-exp_binary64_3557` `pow-exp_binary64_3556`

Counts

3 → 74

Calls

3 calls:

12.0ms	(.f64 (.f64 x x) (-.f64 (*.f64 x 1/16) 1/8))
11.0ms	(-.f64 (.f64 (.f64 x x) (-.f64 (.f64 x 1/16) 1/8)) (.f64 5/128 (pow.f64 x 4)))
5.0ms	(*.f64 5/128 (pow.f64 x 4))

Compiler

Compiled 2062 to 1455 computations (29.4% saved)

series239.0ms (3.7%)

Error

Counts

3 → 14

Calls

3 calls:

93.0ms	(.f64 (.f64 x x) (-.f64 (*.f64 x 1/16) 1/8))
79.0ms	(-.f64 (.f64 (.f64 x x) (-.f64 (.f64 x 1/16) 1/8)) (.f64 5/128 (pow.f64 x 4)))
53.0ms	(*.f64 5/128 (pow.f64 x 4))

Compiler

Compiled 627 to 514 computations (18% saved)

simplify296.0ms (4.5%)

Algorithm

1×	egg-herbie

Rules

368×	`times-frac_binary64_3494`
350×	`cancel-sign-sub-inv_binary64_3454`
341×	`unsub-neg_binary64_3482`
306×	`*-commutative_binary64_3419`
236×	`distribute-rgt-in_binary64_3438`
233×	`distribute-lft-in_binary64_3437`
232×	`associate-l_binary64_3429`
193×	`associate-r_binary64_3428`
166×	`exp-prod_binary64_3540`
151×	`sqr-pow_binary64_3460`
126×	`unswap-sqr_binary64_3456`
101×	`neg-sub0_binary64_3483`
92×	`neg-mul-1_binary64_3484`
90×	`sub-neg_binary64_3481` `distribute-rgt-neg-in_binary64_3446`
76×	`distribute-lft-neg-in_binary64_3445`
75×	`pow-sqr_binary64_3461`
70×	`exp-sum_binary64_3534` `difference-of-squares_binary64_3457`
65×	`log-prod_binary64_3574`
63×	`associate-*l/_binary64_3431`
61×	`associate-*r/_binary64_3430`
57×	`cube-prod_binary64_3516`
54×	`*-lft-identity_binary64_3477`
51×	`*-rgt-identity_binary64_3478`
44×	`swap-sqr_binary64_3455`
42×	`distribute-lft-neg-out_binary64_3447`
41×	`distribute-rgt-neg-out_binary64_3448`
39×	`exp-sqrt_binary64_3541`
37×	`exp-diff_binary64_3536`
33×	`pow-plus_binary64_3551`
29×	`+-commutative_binary64_3418`
28×	`cube-div_binary64_3517`
27×	`distribute-lft-out_binary64_3439`
26×	`mul0-rgt_binary64_3471` `mul0-lft_binary64_3470`
24×	`log-pow_binary64_3577` `distribute-rgt-out_binary64_3441`
22×	`associate-+l+_binary64_3421`
21×	`log-div_binary64_3575`
20×	`unpow3_binary64_3554`
19×	`associate-+r+_binary64_3420`
15×	`associate-+l-_binary64_3423`
12×	`exp-neg_binary64_3535` `associate-+r-_binary64_3422`
11×	`sub0-neg_binary64_3475`
10×	`cube-unmult_binary64_3525`
9×	`cube-mult_binary64_3518`
8×	`+-rgt-identity_binary64_3473`
7×	`associate-/l*_binary64_3433`
5×	`pow-base-1_binary64_3548` `rem-sqrt-square_binary64_3501` `div-sub_binary64_3493` `distribute-neg-out_binary64_3450` `associate-/l/_binary64_3435` `associate--l+_binary64_3425`
4×	`distribute-rgt-out--_binary64_3442`
2×	`sqr-neg_binary64_3502` `/-rgt-identity_binary64_3479` `count-2_binary64_3436` `associate--r+_binary64_3424`
1×	`unpow2_binary64_3553` `unpow1_binary64_3546` `exp-lft-sqr_binary64_3543` `div-exp_binary64_3539` `prod-exp_binary64_3537` `1-exp_binary64_3532` `exp-1-e_binary64_3531` `rem-log-exp_binary64_3529` `rem-3cbrt-lft_binary64_3513` `rem-square-sqrt_binary64_3500` `mul-1-neg_binary64_3480` `--rgt-identity_binary64_3474` `-inverses_binary64_3468` `distribute-neg-frac_binary64_3452` `distribute-neg-in_binary64_3449` `distribute-lft-out--_binary64_3440` `associate-/r_binary64_3432`
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` `unpow1/2_binary64_3552` `exp-to-pow_binary64_3550` `unpow0_binary64_3547` `unpow-1_binary64_3545` `exp-lft-cube_binary64_3544` `exp-cbrt_binary64_3542` `rec-exp_binary64_3538` `e-exp-1_binary64_3533` `exp-0_binary64_3530` `rem-exp-log_binary64_3528` `cube-neg_binary64_3515` `rem-3cbrt-rft_binary64_3514` `rem-cbrt-cube_binary64_3512` `rem-cube-cbrt_binary64_3511` `sqr-abs_binary64_3503` `remove-double-neg_binary64_3476` `+-lft-identity_binary64_3472` `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-rgt1-in_binary64_3444` `distribute-lft1-in_binary64_3443` `associate-/r/_binary64_3434` `associate--r-_binary64_3427` `associate--l-_binary64_3426`

Counts

88 → 166

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	153	1457
1	380	1391
2	1248	1385
3	3145	1385

prune269.0ms (4.1%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	166	0	166
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	166	4	170

Error

Counts

170 → 4

Compiler

Compiled 4523 to 3251 computations (28.1% saved)

regimes203.0ms (3.1%)

Accuracy

Total 0.2b remaining (99.9%)

Threshold costs 0.2b (99.9%)

Compiler

Compiled 1801 to 1481 computations (17.8% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary64_3418`
1×	`1-exp_binary64_3532` `*-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` `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	8	15
1	13	15

Proof

(* f64 h0 (/ f64 1 (+ f64 1 (sqrt f64 (+ f64 h0 1)))))

end0.0ms (0%)

sample1.2s (19.1%)

Algorithm

1×

intervals

Results

227.0ms

8000×

body

128

valid

Compiler

Compiled 832 to 684 computations (17.8% saved)

Details

analyze3.0ms (0%)

sample14.0ms (0.2%)

simplify154.0ms (2.4%)

prune6.0ms (0.1%)

localize6.0ms (0.1%)

rewrite106.0ms (1.6%)

series109.0ms (1.7%)

simplify220.0ms (3.4%)

prune112.0ms (1.7%)

localize9.0ms (0.1%)

rewrite168.0ms (2.6%)

series954.0ms (14.7%)

simplify573.0ms (8.8%)

prune335.0ms (5.2%)

localize7.0ms (0.1%)

rewrite248.0ms (3.8%)

series188.0ms (2.9%)

simplify607.0ms (9.3%)

prune275.0ms (4.2%)

localize11.0ms (0.2%)

rewrite152.0ms (2.3%)

series239.0ms (3.7%)

simplify296.0ms (4.5%)

prune269.0ms (4.1%)

regimes203.0ms (3.1%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.2s (19.1%)

Profiling