Details

analyze3.0s (9.4%)

Algorithm

1×	search
2×	egg-herbie

Rules

669×	`associate-l_binary64_3429`
659×	`associate-r_binary64_3428`
560×	`distribute-rgt-in_binary64_3438`
528×	`distribute-lft-in_binary64_3437`
230×	`unswap-sqr_binary64_3456`
89×	`*-commutative_binary64_3419`
76×	`unsub-neg_binary64_3482`
71×	`neg-sub0_binary64_3483`
64×	`sub-neg_binary64_3481`
60×	`sqr-pow_binary64_3460`
58×	`cancel-sign-sub-inv_binary64_3454`
54×	`neg-mul-1_binary64_3484`
53×	`distribute-rgt-neg-in_binary64_3446`
47×	`distribute-lft-neg-in_binary64_3445`
46×	`+-commutative_binary64_3418`
28×	`distribute-rgt-out_binary64_3441` `distribute-lft-out_binary64_3439`
23×	`distribute-lft-neg-out_binary64_3447`
20×	`div-sub_binary64_3493`
17×	`distribute-rgt-neg-out_binary64_3448`
14×	`associate-/l*_binary64_3433` `associate-+l+_binary64_3421` `associate-+r+_binary64_3420`
12×	`difference-of-squares_binary64_3457`
10×	`unpow3_binary64_3554` `unpow2_binary64_3553` `unpow1/2_binary64_3552` `pow-plus_binary64_3551` `unpow1_binary64_3546` `cube-unmult_binary64_3525` `cube-prod_binary64_3516` `rem-sqrt-square_binary64_3501`
7×	`distribute-frac-neg_binary64_3451` `associate-/r/_binary64_3434`
6×	`div0_binary64_3469`
4×	`sqr-neg_binary64_3502`
1×	`1-exp_binary64_3532` `swap-A-C`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_3751` `erf-erfc_binary64_3750` `erf-odd_binary64_3749` `if-if-and-not_binary64_3748` `if-if-and_binary64_3747` `if-if-or-not_binary64_3746` `if-if-or_binary64_3745` `if-not_binary64_3744` `if-same_binary64_3743` `if-false_binary64_3742` `if-true_binary64_3741` `not-gte_binary64_3740` `not-lte_binary64_3739` `not-gt_binary64_3738` `not-lt_binary64_3737` `gte-same_binary64_3736` `lte-same_binary64_3735` `gt-same_binary64_3734` `lt-same_binary64_3733` `sinh---cosh_binary64_3680` `sinh-+-cosh_binary64_3679` `sinh-cosh_binary64_3678` `tanh-def-c_binary64_3677` `tanh-def-b_binary64_3676` `tanh-def-a_binary64_3675` `cosh-def_binary64_3674` `sinh-def_binary64_3673` `tan-neg_binary64_3620` `cos-neg_binary64_3619` `sin-neg_binary64_3618` `tan-0_binary64_3617` `cos-0_binary64_3616` `sin-0_binary64_3615` `hang-m-tan_binary64_3614` `hang-p-tan_binary64_3613` `hang-m0-tan_binary64_3612` `hang-p0-tan_binary64_3611` `hang-0m-tan_binary64_3610` `hang-0p-tan_binary64_3609` `tan-+PI/2_binary64_3608` `tan-+PI_binary64_3607` `tan-PI_binary64_3606` `tan-PI/3_binary64_3605` `tan-PI/4_binary64_3604` `tan-PI/6_binary64_3603` `cos-+PI/2_binary64_3602` `cos-+PI_binary64_3601` `cos-PI_binary64_3600` `cos-PI/2_binary64_3599` `cos-PI/3_binary64_3598` `cos-PI/4_binary64_3597` `cos-PI/6_binary64_3596` `sin-+PI/2_binary64_3595` `sin-+PI_binary64_3594` `sin-PI_binary64_3593` `sin-PI/2_binary64_3592` `sin-PI/3_binary64_3591` `sin-PI/4_binary64_3590` `sin-PI/6_binary64_3589` `sub-1-sin_binary64_3588` `sub-1-cos_binary64_3587` `-1-add-sin_binary64_3586` `-1-add-cos_binary64_3585` `1-sub-sin_binary64_3584` `1-sub-cos_binary64_3583` `cos-sin-sum_binary64_3582` `log-E_binary64_3578` `log-pow_binary64_3577` `log-rec_binary64_3576` `log-div_binary64_3575` `log-prod_binary64_3574` `pow-base-0_binary64_3572` `unpow1/3_binary64_3555` `exp-to-pow_binary64_3550` `pow-base-1_binary64_3548` `unpow0_binary64_3547` `unpow-1_binary64_3545` `exp-lft-cube_binary64_3544` `exp-lft-sqr_binary64_3543` `exp-cbrt_binary64_3542` `exp-sqrt_binary64_3541` `exp-prod_binary64_3540` `div-exp_binary64_3539` `rec-exp_binary64_3538` `prod-exp_binary64_3537` `exp-diff_binary64_3536` `exp-neg_binary64_3535` `exp-sum_binary64_3534` `e-exp-1_binary64_3533` `exp-1-e_binary64_3531` `exp-0_binary64_3530` `rem-log-exp_binary64_3529` `rem-exp-log_binary64_3528` `cube-mult_binary64_3518` `cube-div_binary64_3517` `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` `times-frac_binary64_3494` `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` `-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` `difference-of-sqr--1_binary64_3459` `difference-of-sqr-1_binary64_3458` `swap-sqr_binary64_3455` `cancel-sign-sub_binary64_3453` `distribute-neg-frac_binary64_3452` `distribute-neg-out_binary64_3450` `distribute-neg-in_binary64_3449` `distribute-rgt1-in_binary64_3444` `distribute-lft1-in_binary64_3443` `distribute-rgt-out--_binary64_3442` `distribute-lft-out--_binary64_3440` `count-2_binary64_3436` `associate-/l/_binary64_3435` `associate-/r_binary64_3432` `associate-l/_binary64_3431` `associate-r/_binary64_3430` `associate--r-_binary64_3427` `associate--l-_binary64_3426` `associate--l+_binary64_3425` `associate--r+_binary64_3424` `associate-+l-_binary64_3423` `associate-+r-_binary64_3422`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	109	427
1	356	427
2	1079	427
3	4970	427
4	4715	427
5	5334	427
0	4	4
1	4	4

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	98.2%	1.8%	8
0%	94.3%	5.7%	9
0.4%	93%	6.6%	10
7.4%	83.3%	9.3%	11
12.4%	75.2%	12.4%	12
14.4%	68.9%	16.7%	13
16.8%	65.4%	17.8%	14

Symmetry

(sort A C)

Compiler

Compiled 41 to 33 computations (19.5% saved)

sample166.0ms (0.5%)

Algorithm

1×

intervals

Results

25.0ms	177×	body	128	valid
17.0ms	28×	body	1024	nan
16.0ms	25×	body	1024	valid
16.0ms	22×	body	2048	nan
14.0ms	19×	body	2048	valid
13.0ms	20×	body	512	nan
13.0ms	90×	body	128	nan
9.0ms	20×	body	512	valid
4.0ms	15×	body	256	valid
2.0ms	7×	body	256	nan

Compiler

Compiled 81 to 69 computations (14.8% saved)

simplify40.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

595×	`associate-+l+_binary64_3421`
560×	`associate-l_binary64_3429`
528×	`associate-r_binary64_3428`
455×	`distribute-rgt-in_binary64_3438`
449×	`distribute-lft-in_binary64_3437`
324×	`distribute-rgt-neg-out_binary64_3448`
316×	`distribute-lft-neg-out_binary64_3447`
259×	`distribute-rgt-out_binary64_3441`
250×	`distribute-lft-out_binary64_3439`
202×	`*-commutative_binary64_3419`
151×	`unsub-neg_binary64_3482`
59×	`neg-sub0_binary64_3483`
50×	`distribute-rgt-neg-in_binary64_3446` `associate-+r+_binary64_3420`
49×	`distribute-lft-neg-in_binary64_3445`
41×	`associate-+l-_binary64_3423`
40×	`associate-/l*_binary64_3433`
36×	`neg-mul-1_binary64_3484` `cancel-sign-sub-inv_binary64_3454`
34×	`distribute-neg-out_binary64_3450`
30×	`sub-neg_binary64_3481` `associate-+r-_binary64_3422`
24×	`unswap-sqr_binary64_3456`
19×	`+-commutative_binary64_3418`
16×	`associate-/r*_binary64_3432`
14×	`sqr-pow_binary64_3460`
12×	`mul0-rgt_binary64_3471` `mul0-lft_binary64_3470`
11×	`distribute-neg-in_binary64_3449`
10×	`div-sub_binary64_3493` `associate-/r/_binary64_3434`
8×	`associate--r+_binary64_3424`
7×	`sub0-neg_binary64_3475` `distribute-neg-frac_binary64_3452`
6×	`pow-plus_binary64_3551`
4×	`cube-unmult_binary64_3525` `+-rgt-identity_binary64_3473`
3×	`mul-1-neg_binary64_3480` `distribute-rgt-out--_binary64_3442`
2×	`unpow2_binary64_3553` `unpow1/2_binary64_3552` `unpow1_binary64_3546` `sqr-neg_binary64_3502` `rem-sqrt-square_binary64_3501` `div0_binary64_3469` `swap-sqr_binary64_3455` `cancel-sign-sub_binary64_3453` `distribute-frac-neg_binary64_3451` `associate--l-_binary64_3426` `associate--l+_binary64_3425`
1×	`1-exp_binary64_3532` `remove-double-neg_binary64_3476` `--rgt-identity_binary64_3474`
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` `exp-to-pow_binary64_3550` `pow-base-1_binary64_3548` `unpow0_binary64_3547` `unpow-1_binary64_3545` `exp-lft-cube_binary64_3544` `exp-lft-sqr_binary64_3543` `exp-cbrt_binary64_3542` `exp-sqrt_binary64_3541` `exp-prod_binary64_3540` `div-exp_binary64_3539` `rec-exp_binary64_3538` `prod-exp_binary64_3537` `exp-diff_binary64_3536` `exp-neg_binary64_3535` `exp-sum_binary64_3534` `e-exp-1_binary64_3533` `exp-1-e_binary64_3531` `exp-0_binary64_3530` `rem-log-exp_binary64_3529` `rem-exp-log_binary64_3528` `cube-mult_binary64_3518` `cube-div_binary64_3517` `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` `rem-square-sqrt_binary64_3500` `times-frac_binary64_3494` `/-rgt-identity_binary64_3479` `-rgt-identity_binary64_3478` `-lft-identity_binary64_3477` `+-lft-identity_binary64_3472` `-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` `difference-of-sqr--1_binary64_3459` `difference-of-sqr-1_binary64_3458` `difference-of-squares_binary64_3457` `distribute-rgt1-in_binary64_3444` `distribute-lft1-in_binary64_3443` `distribute-lft-out--_binary64_3440` `count-2_binary64_3436` `associate-/l/_binary64_3435` `associate-l/_binary64_3431` `associate-*r/_binary64_3430` `associate--r-_binary64_3427`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	61
1	66	61
2	195	61
3	674	61
4	2578	61
5	5613	61

prune5.0ms (0%)

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

51.8b

Counts

2 → 1

Compiler

Compiled 80 to 59 computations (26.3% saved)

localize24.0ms (0.1%)

Local error

Found 4 expressions with local error:

6.2b	(.f64 (.f64 2 (.f64 (-.f64 (pow.f64 B 2) (.f64 (*.f64 4 A) C)) F)) (+.f64 (+.f64 A C) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))))
16.4b	(sqrt.f64 (.f64 (.f64 2 (.f64 (-.f64 (pow.f64 B 2) (.f64 (*.f64 4 A) C)) F)) (+.f64 (+.f64 A C) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2))))))
20.9b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 2 (.f64 (-.f64 (pow.f64 B 2) (.f64 (.f64 4 A) C)) F)) (+.f64 (+.f64 A C) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2))))))) (-.f64 (pow.f64 B 2) (.f64 (*.f64 4 A) C)))
33.8b	(sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))

rewrite1.2s (3.7%)

Algorithm

1×	rewrite-expression-head

Error

49.4b

Rules

78×	`sqrt-div_binary64_3505`
60×	`associate-*r/_binary64_3430`
48×	`associate-*l/_binary64_3431`
46×	`flip3-+_binary64_3491` `flip-+_binary64_3462`
43×	`*-un-lft-identity_binary64_3488`
36×	`times-frac_binary64_3494` `frac-add_binary64_3496` `frac-times_binary64_3498`
32×	`add-sqr-sqrt_binary64_3510`
31×	`add-cube-cbrt_binary64_3523`
24×	`pow1_binary64_3549`
22×	`flip3--_binary64_3492` `flip--_binary64_3463`
20×	`distribute-neg-frac_binary64_3452` `associate-/l/_binary64_3435`
16×	`distribute-rgt-neg-in_binary64_3446` `distribute-lft-neg-in_binary64_3445`
15×	`add-exp-log_binary64_3526` `add-cbrt-cube_binary64_3524` `sqrt-prod_binary64_3504`
12×	`associate-/l*_binary64_3433` `pow-prod-down_binary64_3559`
6×	`distribute-lft-out_binary64_3439` `prod-exp_binary64_3537` `cbrt-unprod_binary64_3521`
5×	`sqrt-pow1_binary64_3506` `associate-r_binary64_3428`
4×	`add-log-exp_binary64_3527` `unpow-prod-down_binary64_3567` `neg-mul-1_binary64_3484`
3×	`associate-/r*_binary64_3432`
2×	`pow1/2_binary64_3568` `associate-/r/_binary64_3434`
1×	`distribute-lft-out--_binary64_3440` `rem-sqrt-square_binary64_3501` `div-exp_binary64_3539` `cbrt-undiv_binary64_3522` `frac-2neg_binary64_3499` `neg-sub0_binary64_3483` `div-sub_binary64_3493` `clear-num_binary64_3487` `div-inv_binary64_3485` `distribute-frac-neg_binary64_3451` `distribute-rgt-in_binary64_3438` `distribute-lft-in_binary64_3437` `associate-l_binary64_3429` `*-commutative_binary64_3419`

Counts

4 → 183

Calls

4 calls:

34.0ms	(.f64 (.f64 2 (.f64 (-.f64 (pow.f64 B 2) (.f64 (*.f64 4 A) C)) F)) (+.f64 (+.f64 A C) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))))
29.0ms	(sqrt.f64 (.f64 (.f64 2 (.f64 (-.f64 (pow.f64 B 2) (.f64 (*.f64 4 A) C)) F)) (+.f64 (+.f64 A C) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2))))))
23.0ms	(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 2 (.f64 (-.f64 (pow.f64 B 2) (.f64 (.f64 4 A) C)) F)) (+.f64 (+.f64 A C) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2))))))) (-.f64 (pow.f64 B 2) (.f64 (*.f64 4 A) C)))
12.0ms	(sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))

Compiler

Compiled 14533 to 9244 computations (36.4% saved)

series6.7s (20.5%)

Error

27.4b

Counts

4 → 87

Calls

4 calls:

2.7s	(sqrt.f64 (.f64 (.f64 2 (.f64 (-.f64 (pow.f64 B 2) (.f64 (*.f64 4 A) C)) F)) (+.f64 (+.f64 A C) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2))))))
1.8s	(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 2 (.f64 (-.f64 (pow.f64 B 2) (.f64 (.f64 4 A) C)) F)) (+.f64 (+.f64 A C) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2))))))) (-.f64 (pow.f64 B 2) (.f64 (*.f64 4 A) C)))
1.5s	(.f64 (.f64 2 (.f64 (-.f64 (pow.f64 B 2) (.f64 (*.f64 4 A) C)) F)) (+.f64 (+.f64 A C) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))))
374.0ms	(sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))

Compiler

Compiled 17877 to 13240 computations (25.9% saved)

simplify321.0ms (1%)

Algorithm

1×	egg-herbie

Rules

394×	`distribute-rgt-in_binary64_3438`
373×	`*-commutative_binary64_3419`
194×	`associate-r_binary64_3428`
188×	`times-frac_binary64_3494`
163×	`cancel-sign-sub-inv_binary64_3454`
159×	`sub-neg_binary64_3481`
158×	`+-commutative_binary64_3418`
92×	`neg-sub0_binary64_3483`
87×	`distribute-neg-in_binary64_3449`
83×	`neg-mul-1_binary64_3484`
78×	`associate-l_binary64_3429`
76×	`associate-+r+_binary64_3420`
68×	`distribute-rgt-neg-in_binary64_3446`
52×	`distribute-rgt-out_binary64_3441`
48×	`distribute-lft-neg-in_binary64_3445`
47×	`distribute-lft-out_binary64_3439`
43×	`div-sub_binary64_3493` `associate-/l*_binary64_3433`
40×	`sqr-pow_binary64_3460`
36×	`distribute-frac-neg_binary64_3451`
33×	`distribute-lft-in_binary64_3437`
31×	`associate--l+_binary64_3425`
30×	`associate-*r/_binary64_3430`
27×	`associate--r+_binary64_3424`
23×	`mul-1-neg_binary64_3480`
21×	`distribute-lft-neg-out_binary64_3447`
20×	`distribute-rgt-neg-out_binary64_3448`
18×	`swap-sqr_binary64_3455` `associate-/r*_binary64_3432`
13×	`unpow3_binary64_3554` `cube-mult_binary64_3518` `distribute-neg-frac_binary64_3452`
12×	`log-prod_binary64_3574` `exp-prod_binary64_3540` `unswap-sqr_binary64_3456`
9×	`cube-prod_binary64_3516` `/-rgt-identity_binary64_3479`
8×	`cube-unmult_binary64_3525`
7×	`difference-of-squares_binary64_3457`
6×	`associate-*l/_binary64_3431`
5×	`unpow2_binary64_3553` `unpow1_binary64_3546` `sqr-neg_binary64_3502`
4×	`rem-sqrt-square_binary64_3501` `distribute-rgt-out--_binary64_3442`
3×	`exp-neg_binary64_3535` `rem-square-sqrt_binary64_3500` `associate-+r-_binary64_3422` `associate-+l+_binary64_3421`
2×	`log-div_binary64_3575` `*-rgt-identity_binary64_3478` `pow-sqr_binary64_3461`
1×	`pow-plus_binary64_3551` `exp-lft-sqr_binary64_3543` `exp-diff_binary64_3536` `exp-sum_binary64_3534` `1-exp_binary64_3532` `remove-double-neg_binary64_3476` `div0_binary64_3469` `distribute-lft-out--_binary64_3440`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_3751` `erf-erfc_binary64_3750` `erf-odd_binary64_3749` `if-if-and-not_binary64_3748` `if-if-and_binary64_3747` `if-if-or-not_binary64_3746` `if-if-or_binary64_3745` `if-not_binary64_3744` `if-same_binary64_3743` `if-false_binary64_3742` `if-true_binary64_3741` `not-gte_binary64_3740` `not-lte_binary64_3739` `not-gt_binary64_3738` `not-lt_binary64_3737` `gte-same_binary64_3736` `lte-same_binary64_3735` `gt-same_binary64_3734` `lt-same_binary64_3733` `sinh---cosh_binary64_3680` `sinh-+-cosh_binary64_3679` `sinh-cosh_binary64_3678` `tanh-def-c_binary64_3677` `tanh-def-b_binary64_3676` `tanh-def-a_binary64_3675` `cosh-def_binary64_3674` `sinh-def_binary64_3673` `tan-neg_binary64_3620` `cos-neg_binary64_3619` `sin-neg_binary64_3618` `tan-0_binary64_3617` `cos-0_binary64_3616` `sin-0_binary64_3615` `hang-m-tan_binary64_3614` `hang-p-tan_binary64_3613` `hang-m0-tan_binary64_3612` `hang-p0-tan_binary64_3611` `hang-0m-tan_binary64_3610` `hang-0p-tan_binary64_3609` `tan-+PI/2_binary64_3608` `tan-+PI_binary64_3607` `tan-PI_binary64_3606` `tan-PI/3_binary64_3605` `tan-PI/4_binary64_3604` `tan-PI/6_binary64_3603` `cos-+PI/2_binary64_3602` `cos-+PI_binary64_3601` `cos-PI_binary64_3600` `cos-PI/2_binary64_3599` `cos-PI/3_binary64_3598` `cos-PI/4_binary64_3597` `cos-PI/6_binary64_3596` `sin-+PI/2_binary64_3595` `sin-+PI_binary64_3594` `sin-PI_binary64_3593` `sin-PI/2_binary64_3592` `sin-PI/3_binary64_3591` `sin-PI/4_binary64_3590` `sin-PI/6_binary64_3589` `sub-1-sin_binary64_3588` `sub-1-cos_binary64_3587` `-1-add-sin_binary64_3586` `-1-add-cos_binary64_3585` `1-sub-sin_binary64_3584` `1-sub-cos_binary64_3583` `cos-sin-sum_binary64_3582` `log-E_binary64_3578` `log-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` `unpow-1_binary64_3545` `exp-lft-cube_binary64_3544` `exp-cbrt_binary64_3542` `exp-sqrt_binary64_3541` `div-exp_binary64_3539` `rec-exp_binary64_3538` `prod-exp_binary64_3537` `e-exp-1_binary64_3533` `exp-1-e_binary64_3531` `exp-0_binary64_3530` `rem-log-exp_binary64_3529` `rem-exp-log_binary64_3528` `cube-div_binary64_3517` `cube-neg_binary64_3515` `rem-3cbrt-rft_binary64_3514` `rem-3cbrt-lft_binary64_3513` `rem-cbrt-cube_binary64_3512` `rem-cube-cbrt_binary64_3511` `sqr-abs_binary64_3503` `unsub-neg_binary64_3482` `-lft-identity_binary64_3477` `sub0-neg_binary64_3475` `--rgt-identity_binary64_3474` `+-rgt-identity_binary64_3473` `+-lft-identity_binary64_3472` `mul0-rgt_binary64_3471` `mul0-lft_binary64_3470` `-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-out_binary64_3450` `distribute-rgt1-in_binary64_3444` `distribute-lft1-in_binary64_3443` `count-2_binary64_3436` `associate-/l/_binary64_3435` `associate-/r/_binary64_3434` `associate--r-_binary64_3427` `associate--l-_binary64_3426` `associate-+l-_binary64_3423`

Counts

270 → 246

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	940	20035
1	2776	19172
2	5025	19172

prune1.1s (3.3%)

Pruning

27 alts after pruning (27 fresh and 0 done)

	Pruned	Kept	Total
New	219	27	246
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	220	27	247

Error

26.4b

Counts

247 → 27

Compiler

Compiled 18253 to 9232 computations (49.4% saved)

localize9.0ms (0%)

Local error

Found 2 expressions with local error:

0.5b	(.f64 (sqrt.f64 2) (sqrt.f64 (.f64 -1/2 (/.f64 F A))))
12.1b	(sqrt.f64 (*.f64 -1/2 (/.f64 F A)))

rewrite69.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Error

26.3b

Rules

12×	`pow1_binary64_3549`
9×	`add-sqr-sqrt_binary64_3510`
6×	`pow-prod-down_binary64_3559` `sqrt-pow1_binary64_3506` `sqrt-prod_binary64_3504` `associate-l_binary64_3429`
5×	`add-cube-cbrt_binary64_3523` `*-un-lft-identity_binary64_3488`
4×	`add-exp-log_binary64_3526` `add-cbrt-cube_binary64_3524` `associate-r_binary64_3428`
3×	`pow1/2_binary64_3568` `associate-*r/_binary64_3430`
2×	`add-log-exp_binary64_3527` `sqrt-div_binary64_3505` `unswap-sqr_binary64_3456`
1×	`prod-exp_binary64_3537` `cbrt-unprod_binary64_3521` `sqrt-unprod_binary64_3508` `*-commutative_binary64_3419`

Counts

2 → 40

Calls

2 calls:

9.0ms	(.f64 (sqrt.f64 2) (sqrt.f64 (.f64 -1/2 (/.f64 F A))))
4.0ms	(sqrt.f64 (*.f64 -1/2 (/.f64 F A)))

Compiler

Compiled 641 to 475 computations (25.9% saved)

series153.0ms (0.5%)

Error

26.4b

Counts

2 → 12

Calls

2 calls:

78.0ms	(.f64 (sqrt.f64 2) (sqrt.f64 (.f64 -1/2 (/.f64 F A))))
66.0ms	(sqrt.f64 (*.f64 -1/2 (/.f64 F A)))

Compiler

Compiled 494 to 489 computations (1% saved)

simplify151.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

387×	`unsub-neg_binary64_3482`
332×	`associate-/r/_binary64_3434`
301×	`*-commutative_binary64_3419`
283×	`distribute-rgt-in_binary64_3438`
280×	`neg-sub0_binary64_3483`
271×	`neg-mul-1_binary64_3484`
247×	`associate-/l*_binary64_3433`
239×	`associate-/r*_binary64_3432`
237×	`distribute-rgt-neg-in_binary64_3446`
223×	`sub-neg_binary64_3481`
221×	`associate-l_binary64_3429`
220×	`div-sub_binary64_3493`
217×	`associate-*l/_binary64_3431`
205×	`associate-*r/_binary64_3430`
192×	`associate-+l+_binary64_3421`
189×	`distribute-lft-in_binary64_3437` `associate-r_binary64_3428`
168×	`distribute-lft-neg-in_binary64_3445`
141×	`sqr-pow_binary64_3460` `distribute-lft-neg-out_binary64_3447`
113×	`distribute-rgt-neg-out_binary64_3448`
95×	`cancel-sign-sub-inv_binary64_3454`
87×	`associate-/l/_binary64_3435`
86×	`pow-sqr_binary64_3461`
82×	`unswap-sqr_binary64_3456`
73×	`distribute-neg-frac_binary64_3452`
72×	`associate-+r+_binary64_3420`
69×	`rem-sqrt-square_binary64_3501`
53×	`*-rgt-identity_binary64_3478`
52×	`*-lft-identity_binary64_3477`
49×	`associate-+l-_binary64_3423`
46×	`mul0-rgt_binary64_3471`
42×	`+-commutative_binary64_3418`
39×	`mul0-lft_binary64_3470`
26×	`sub0-neg_binary64_3475` `--rgt-identity_binary64_3474`
25×	`distribute-lft-out_binary64_3439`
23×	`distribute-rgt-out_binary64_3441`
17×	`div0_binary64_3469`
14×	`mul-1-neg_binary64_3480` `+-rgt-identity_binary64_3473`
11×	`distribute-frac-neg_binary64_3451`
10×	`exp-prod_binary64_3540`
9×	`log-prod_binary64_3574` `/-rgt-identity_binary64_3479` `+-lft-identity_binary64_3472`
8×	`distribute-rgt1-in_binary64_3444`
6×	`cube-prod_binary64_3516` `associate--r+_binary64_3424`
5×	`distribute-lft1-in_binary64_3443`
4×	`count-2_binary64_3436`
3×	`unpow1/2_binary64_3552` `associate--l+_binary64_3425`
2×	`cube-unmult_binary64_3525` `rem-square-sqrt_binary64_3500`
1×	`unpow3_binary64_3554` `exp-diff_binary64_3536` `exp-sum_binary64_3534` `1-exp_binary64_3532` `exp-1-e_binary64_3531` `swap-sqr_binary64_3455`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_3751` `erf-erfc_binary64_3750` `erf-odd_binary64_3749` `if-if-and-not_binary64_3748` `if-if-and_binary64_3747` `if-if-or-not_binary64_3746` `if-if-or_binary64_3745` `if-not_binary64_3744` `if-same_binary64_3743` `if-false_binary64_3742` `if-true_binary64_3741` `not-gte_binary64_3740` `not-lte_binary64_3739` `not-gt_binary64_3738` `not-lt_binary64_3737` `gte-same_binary64_3736` `lte-same_binary64_3735` `gt-same_binary64_3734` `lt-same_binary64_3733` `sinh---cosh_binary64_3680` `sinh-+-cosh_binary64_3679` `sinh-cosh_binary64_3678` `tanh-def-c_binary64_3677` `tanh-def-b_binary64_3676` `tanh-def-a_binary64_3675` `cosh-def_binary64_3674` `sinh-def_binary64_3673` `tan-neg_binary64_3620` `cos-neg_binary64_3619` `sin-neg_binary64_3618` `tan-0_binary64_3617` `cos-0_binary64_3616` `sin-0_binary64_3615` `hang-m-tan_binary64_3614` `hang-p-tan_binary64_3613` `hang-m0-tan_binary64_3612` `hang-p0-tan_binary64_3611` `hang-0m-tan_binary64_3610` `hang-0p-tan_binary64_3609` `tan-+PI/2_binary64_3608` `tan-+PI_binary64_3607` `tan-PI_binary64_3606` `tan-PI/3_binary64_3605` `tan-PI/4_binary64_3604` `tan-PI/6_binary64_3603` `cos-+PI/2_binary64_3602` `cos-+PI_binary64_3601` `cos-PI_binary64_3600` `cos-PI/2_binary64_3599` `cos-PI/3_binary64_3598` `cos-PI/4_binary64_3597` `cos-PI/6_binary64_3596` `sin-+PI/2_binary64_3595` `sin-+PI_binary64_3594` `sin-PI_binary64_3593` `sin-PI/2_binary64_3592` `sin-PI/3_binary64_3591` `sin-PI/4_binary64_3590` `sin-PI/6_binary64_3589` `sub-1-sin_binary64_3588` `sub-1-cos_binary64_3587` `-1-add-sin_binary64_3586` `-1-add-cos_binary64_3585` `1-sub-sin_binary64_3584` `1-sub-cos_binary64_3583` `cos-sin-sum_binary64_3582` `log-E_binary64_3578` `log-pow_binary64_3577` `log-rec_binary64_3576` `log-div_binary64_3575` `pow-base-0_binary64_3572` `unpow1/3_binary64_3555` `unpow2_binary64_3553` `pow-plus_binary64_3551` `exp-to-pow_binary64_3550` `pow-base-1_binary64_3548` `unpow0_binary64_3547` `unpow1_binary64_3546` `unpow-1_binary64_3545` `exp-lft-cube_binary64_3544` `exp-lft-sqr_binary64_3543` `exp-cbrt_binary64_3542` `exp-sqrt_binary64_3541` `div-exp_binary64_3539` `rec-exp_binary64_3538` `prod-exp_binary64_3537` `exp-neg_binary64_3535` `e-exp-1_binary64_3533` `exp-0_binary64_3530` `rem-log-exp_binary64_3529` `rem-exp-log_binary64_3528` `cube-mult_binary64_3518` `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` `times-frac_binary64_3494` `remove-double-neg_binary64_3476` `*-inverses_binary64_3468` `+-inverses_binary64_3467` `lft-mult-inverse_binary64_3466` `rgt-mult-inverse_binary64_3465` `remove-double-div_binary64_3464` `difference-of-sqr--1_binary64_3459` `difference-of-sqr-1_binary64_3458` `difference-of-squares_binary64_3457` `cancel-sign-sub_binary64_3453` `distribute-neg-out_binary64_3450` `distribute-neg-in_binary64_3449` `distribute-rgt-out--_binary64_3442` `distribute-lft-out--_binary64_3440` `associate--r-_binary64_3427` `associate--l-_binary64_3426` `associate-+r-_binary64_3422`

Counts

52 → 27

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	72	698
1	143	676
2	390	676
3	938	676
4	1712	676
5	2446	676
6	3003	676
7	3384	676
8	4381	676
9	4970	676
10	4983	676
11	4850	676

prune93.0ms (0.3%)

Pruning

30 alts after pruning (30 fresh and 0 done)

	Pruned	Kept	Total
New	22	5	27
Fresh	1	25	26
Picked	1	0	1
Done	0	0	0
Total	24	30	54

Error

26.3b

Counts

54 → 30

Compiler

Compiled 1506 to 1055 computations (29.9% saved)

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

12.2b

(sqrt.f64 (neg.f64 (/.f64 F A)))

rewrite50.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Error

24.6b

Rules

30×	`sqrt-prod_binary64_3504`
18×	`times-frac_binary64_3494`
17×	`add-sqr-sqrt_binary64_3510`
16×	`add-cube-cbrt_binary64_3523` `*-un-lft-identity_binary64_3488`
13×	`distribute-rgt-neg-in_binary64_3446` `distribute-lft-neg-in_binary64_3445`
2×	`pow1_binary64_3549` `div-inv_binary64_3485`
1×	`pow1/2_binary64_3568` `add-log-exp_binary64_3527` `add-exp-log_binary64_3526` `add-cbrt-cube_binary64_3524` `sqrt-pow1_binary64_3506` `distribute-neg-frac_binary64_3452` `sqrt-div_binary64_3505` `neg-mul-1_binary64_3484` `rem-sqrt-square_binary64_3501`

Counts

1 → 41

Calls

1 calls:

7.0ms

(sqrt.f64 (neg.f64 (/.f64 F A)))

Compiler

Compiled 547 to 221 computations (59.6% saved)

series55.0ms (0.2%)

Error

26.3b

Counts

1 → 6

Calls

1 calls:

49.0ms

(sqrt.f64 (neg.f64 (/.f64 F A)))

Compiler

Compiled 160 to 154 computations (3.8% saved)

simplify195.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

818×	`div-sub_binary64_3493`
815×	`unswap-sqr_binary64_3456`
812×	`unsub-neg_binary64_3482`
583×	`associate-/l*_binary64_3433`
490×	`sub-neg_binary64_3481`
411×	`times-frac_binary64_3494`
288×	`associate-/l/_binary64_3435`
284×	`neg-sub0_binary64_3483`
280×	`distribute-rgt-in_binary64_3438`
276×	`neg-mul-1_binary64_3484`
275×	`associate-/r*_binary64_3432`
190×	`distribute-lft-in_binary64_3437`
186×	`associate-/r/_binary64_3434`
185×	`*-commutative_binary64_3419`
177×	`associate-*l/_binary64_3431`
171×	`cancel-sign-sub-inv_binary64_3454`
166×	`associate-r_binary64_3428`
164×	`associate-l_binary64_3429`
160×	`distribute-frac-neg_binary64_3451`
155×	`distribute-rgt-neg-out_binary64_3448`
139×	`distribute-rgt-neg-in_binary64_3446`
120×	`distribute-lft-neg-out_binary64_3447`
108×	`associate-*r/_binary64_3430`
104×	`+-commutative_binary64_3418`
102×	`associate-+l+_binary64_3421`
101×	`*-lft-identity_binary64_3477` `associate--r-_binary64_3427`
100×	`associate-+l-_binary64_3423`
98×	`distribute-lft-neg-in_binary64_3445`
92×	`cube-prod_binary64_3516`
91×	`sqr-pow_binary64_3460` `associate--r+_binary64_3424`
83×	`/-rgt-identity_binary64_3479`
79×	`distribute-neg-out_binary64_3450`
78×	`distribute-rgt-out_binary64_3441`
73×	`*-rgt-identity_binary64_3478`
70×	`mul0-rgt_binary64_3471`
67×	`div0_binary64_3469`
66×	`mul0-lft_binary64_3470`
65×	`distribute-neg-frac_binary64_3452`
62×	`remove-double-div_binary64_3464` `distribute-neg-in_binary64_3449`
59×	`associate-+r-_binary64_3422`
55×	`associate--l-_binary64_3426`
48×	`--rgt-identity_binary64_3474`
46×	`distribute-rgt-out--_binary64_3442`
45×	`sub0-neg_binary64_3475`
35×	`pow-sqr_binary64_3461`
34×	`unpow3_binary64_3554`
30×	`cube-mult_binary64_3518`
28×	`pow-plus_binary64_3551` `rem-sqrt-square_binary64_3501`
23×	`mul-1-neg_binary64_3480`
19×	`associate--l+_binary64_3425`
18×	`cancel-sign-sub_binary64_3453`
15×	`distribute-rgt1-in_binary64_3444` `associate-+r+_binary64_3420`
12×	`distribute-lft-out--_binary64_3440`
10×	`cube-unmult_binary64_3525` `distribute-lft1-in_binary64_3443`
8×	`distribute-lft-out_binary64_3439`
7×	`remove-double-neg_binary64_3476`
6×	`unpow2_binary64_3553` `exp-prod_binary64_3540`
5×	`unpow1_binary64_3546`
4×	`unpow1/2_binary64_3552` `exp-sum_binary64_3534` `+-rgt-identity_binary64_3473`
3×	`rec-exp_binary64_3538`
2×	`log-prod_binary64_3574` `exp-diff_binary64_3536` `count-2_binary64_3436`
1×	`log-div_binary64_3575` `1-exp_binary64_3532` `rem-square-sqrt_binary64_3500` `swap-sqr_binary64_3455`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_3751` `erf-erfc_binary64_3750` `erf-odd_binary64_3749` `if-if-and-not_binary64_3748` `if-if-and_binary64_3747` `if-if-or-not_binary64_3746` `if-if-or_binary64_3745` `if-not_binary64_3744` `if-same_binary64_3743` `if-false_binary64_3742` `if-true_binary64_3741` `not-gte_binary64_3740` `not-lte_binary64_3739` `not-gt_binary64_3738` `not-lt_binary64_3737` `gte-same_binary64_3736` `lte-same_binary64_3735` `gt-same_binary64_3734` `lt-same_binary64_3733` `sinh---cosh_binary64_3680` `sinh-+-cosh_binary64_3679` `sinh-cosh_binary64_3678` `tanh-def-c_binary64_3677` `tanh-def-b_binary64_3676` `tanh-def-a_binary64_3675` `cosh-def_binary64_3674` `sinh-def_binary64_3673` `tan-neg_binary64_3620` `cos-neg_binary64_3619` `sin-neg_binary64_3618` `tan-0_binary64_3617` `cos-0_binary64_3616` `sin-0_binary64_3615` `hang-m-tan_binary64_3614` `hang-p-tan_binary64_3613` `hang-m0-tan_binary64_3612` `hang-p0-tan_binary64_3611` `hang-0m-tan_binary64_3610` `hang-0p-tan_binary64_3609` `tan-+PI/2_binary64_3608` `tan-+PI_binary64_3607` `tan-PI_binary64_3606` `tan-PI/3_binary64_3605` `tan-PI/4_binary64_3604` `tan-PI/6_binary64_3603` `cos-+PI/2_binary64_3602` `cos-+PI_binary64_3601` `cos-PI_binary64_3600` `cos-PI/2_binary64_3599` `cos-PI/3_binary64_3598` `cos-PI/4_binary64_3597` `cos-PI/6_binary64_3596` `sin-+PI/2_binary64_3595` `sin-+PI_binary64_3594` `sin-PI_binary64_3593` `sin-PI/2_binary64_3592` `sin-PI/3_binary64_3591` `sin-PI/4_binary64_3590` `sin-PI/6_binary64_3589` `sub-1-sin_binary64_3588` `sub-1-cos_binary64_3587` `-1-add-sin_binary64_3586` `-1-add-cos_binary64_3585` `1-sub-sin_binary64_3584` `1-sub-cos_binary64_3583` `cos-sin-sum_binary64_3582` `log-E_binary64_3578` `log-pow_binary64_3577` `log-rec_binary64_3576` `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` `prod-exp_binary64_3537` `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-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` `+-lft-identity_binary64_3472` `*-inverses_binary64_3468` `+-inverses_binary64_3467` `lft-mult-inverse_binary64_3466` `rgt-mult-inverse_binary64_3465` `difference-of-sqr--1_binary64_3459` `difference-of-sqr-1_binary64_3458` `difference-of-squares_binary64_3457`

Counts

47 → 24

Iterations

Useful iterations: 11 (0.0ms)

Iter	Nodes	Cost
0	115	696
1	201	676
2	373	676
3	574	676
4	1047	676
5	1727	676
6	2083	676
7	2192	676
8	2477	676
9	2775	676
10	3161	676
11	4019	671
12	4372	671
13	4745	671
14	4604	671

prune88.0ms (0.3%)

Pruning

32 alts after pruning (31 fresh and 1 done)

	Pruned	Kept	Total
New	20	4	24
Fresh	2	27	29
Picked	0	1	1
Done	0	0	0
Total	22	32	54

Error

24.6b

Counts

54 → 32

Compiler

Compiled 1435 to 936 computations (34.8% saved)

localize7.0ms (0%)

Local error

Found 2 expressions with local error:

0.1b	(sqrt.f64 (/.f64 -1 A))
0.3b	(*.f64 (sqrt.f64 F) (sqrt.f64 (/.f64 -1 A)))

rewrite97.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Error

24.6b

Rules

36×	`add-sqr-sqrt_binary64_3510` `sqrt-prod_binary64_3504`
21×	`times-frac_binary64_3494`
19×	`add-cube-cbrt_binary64_3523` `*-un-lft-identity_binary64_3488`
16×	`associate-r_binary64_3428`
7×	`pow1_binary64_3549`
6×	`unswap-sqr_binary64_3456` `associate-l_binary64_3429`
4×	`add-exp-log_binary64_3526` `add-cbrt-cube_binary64_3524`
3×	`pow1/2_binary64_3568` `pow-prod-down_binary64_3559` `sqrt-pow1_binary64_3506`
2×	`add-log-exp_binary64_3527` `sqrt-div_binary64_3505` `div-inv_binary64_3485` `rem-sqrt-square_binary64_3501`
1×	`prod-exp_binary64_3537` `cbrt-unprod_binary64_3521` `sqrt-unprod_binary64_3508` `associate-r/_binary64_3430` `-commutative_binary64_3419`

Counts

2 → 68

Calls

2 calls:

11.0ms	(*.f64 (sqrt.f64 F) (sqrt.f64 (/.f64 -1 A)))
3.0ms	(sqrt.f64 (/.f64 -1 A))

Compiler

Compiled 1023 to 688 computations (32.7% saved)

series91.0ms (0.3%)

Error

24.6b

Counts

2 → 9

Calls

2 calls:

68.0ms	(*.f64 (sqrt.f64 F) (sqrt.f64 (/.f64 -1 A)))
17.0ms	(sqrt.f64 (/.f64 -1 A))

Compiler

Compiled 277 to 270 computations (2.5% saved)

simplify151.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

751×	`unsub-neg_binary64_3482`
593×	`div-sub_binary64_3493`
369×	`associate-/r*_binary64_3432`
359×	`neg-mul-1_binary64_3484`
330×	`unswap-sqr_binary64_3456`
270×	`neg-sub0_binary64_3483`
234×	`times-frac_binary64_3494`
224×	`associate-l_binary64_3429`
194×	`sub-neg_binary64_3481`
192×	`associate-+l+_binary64_3421`
179×	`associate-/l/_binary64_3435`
163×	`associate-/l*_binary64_3433`
161×	`*-commutative_binary64_3419`
154×	`distribute-frac-neg_binary64_3451`
149×	`associate-r_binary64_3428`
142×	`associate-/r/_binary64_3434`
140×	`sqr-pow_binary64_3460`
118×	`distribute-rgt-neg-out_binary64_3448`
105×	`*-lft-identity_binary64_3477`
94×	`rem-sqrt-square_binary64_3501`
93×	`distribute-lft-neg-out_binary64_3447`
87×	`distribute-rgt-neg-in_binary64_3446` `associate-*l/_binary64_3431`
85×	`*-rgt-identity_binary64_3478`
81×	`pow-sqr_binary64_3461`
80×	`associate-*r/_binary64_3430`
76×	`/-rgt-identity_binary64_3479`
72×	`associate-+r+_binary64_3420`
63×	`distribute-lft-neg-in_binary64_3445`
58×	`distribute-neg-frac_binary64_3452`
56×	`associate-+l-_binary64_3423`
46×	`distribute-rgt-in_binary64_3438`
45×	`associate--l+_binary64_3425`
43×	`distribute-lft-in_binary64_3437`
23×	`mul0-rgt_binary64_3471` `div0_binary64_3469` `distribute-lft-out_binary64_3439`
21×	`distribute-rgt-out_binary64_3441`
20×	`+-commutative_binary64_3418`
19×	`cancel-sign-sub-inv_binary64_3454`
18×	`mul0-lft_binary64_3470`
17×	`mul-1-neg_binary64_3480`
16×	`cube-prod_binary64_3516`
14×	`unpow3_binary64_3554`
12×	`remove-double-div_binary64_3464`
11×	`log-prod_binary64_3574` `cube-unmult_binary64_3525`
10×	`exp-prod_binary64_3540`
8×	`cube-mult_binary64_3518` `sub0-neg_binary64_3475` `--rgt-identity_binary64_3474`
7×	`distribute-rgt1-in_binary64_3444`
6×	`log-div_binary64_3575`
5×	`pow-plus_binary64_3551` `distribute-lft1-in_binary64_3443`
3×	`unpow1/2_binary64_3552` `cube-div_binary64_3517` `swap-sqr_binary64_3455` `associate--l-_binary64_3426`
2×	`log-rec_binary64_3576` `unpow2_binary64_3553` `exp-diff_binary64_3536` `exp-sum_binary64_3534` `rem-square-sqrt_binary64_3500` `count-2_binary64_3436`
1×	`unpow1_binary64_3546` `1-exp_binary64_3532` `exp-1-e_binary64_3531` `+-inverses_binary64_3467` `associate--r+_binary64_3424` `associate-+r-_binary64_3422`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_3751` `erf-erfc_binary64_3750` `erf-odd_binary64_3749` `if-if-and-not_binary64_3748` `if-if-and_binary64_3747` `if-if-or-not_binary64_3746` `if-if-or_binary64_3745` `if-not_binary64_3744` `if-same_binary64_3743` `if-false_binary64_3742` `if-true_binary64_3741` `not-gte_binary64_3740` `not-lte_binary64_3739` `not-gt_binary64_3738` `not-lt_binary64_3737` `gte-same_binary64_3736` `lte-same_binary64_3735` `gt-same_binary64_3734` `lt-same_binary64_3733` `sinh---cosh_binary64_3680` `sinh-+-cosh_binary64_3679` `sinh-cosh_binary64_3678` `tanh-def-c_binary64_3677` `tanh-def-b_binary64_3676` `tanh-def-a_binary64_3675` `cosh-def_binary64_3674` `sinh-def_binary64_3673` `tan-neg_binary64_3620` `cos-neg_binary64_3619` `sin-neg_binary64_3618` `tan-0_binary64_3617` `cos-0_binary64_3616` `sin-0_binary64_3615` `hang-m-tan_binary64_3614` `hang-p-tan_binary64_3613` `hang-m0-tan_binary64_3612` `hang-p0-tan_binary64_3611` `hang-0m-tan_binary64_3610` `hang-0p-tan_binary64_3609` `tan-+PI/2_binary64_3608` `tan-+PI_binary64_3607` `tan-PI_binary64_3606` `tan-PI/3_binary64_3605` `tan-PI/4_binary64_3604` `tan-PI/6_binary64_3603` `cos-+PI/2_binary64_3602` `cos-+PI_binary64_3601` `cos-PI_binary64_3600` `cos-PI/2_binary64_3599` `cos-PI/3_binary64_3598` `cos-PI/4_binary64_3597` `cos-PI/6_binary64_3596` `sin-+PI/2_binary64_3595` `sin-+PI_binary64_3594` `sin-PI_binary64_3593` `sin-PI/2_binary64_3592` `sin-PI/3_binary64_3591` `sin-PI/4_binary64_3590` `sin-PI/6_binary64_3589` `sub-1-sin_binary64_3588` `sub-1-cos_binary64_3587` `-1-add-sin_binary64_3586` `-1-add-cos_binary64_3585` `1-sub-sin_binary64_3584` `1-sub-cos_binary64_3583` `cos-sin-sum_binary64_3582` `log-E_binary64_3578` `log-pow_binary64_3577` `pow-base-0_binary64_3572` `unpow1/3_binary64_3555` `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` `prod-exp_binary64_3537` `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` `sqr-neg_binary64_3502` `remove-double-neg_binary64_3476` `+-rgt-identity_binary64_3473` `+-lft-identity_binary64_3472` `*-inverses_binary64_3468` `lft-mult-inverse_binary64_3466` `rgt-mult-inverse_binary64_3465` `difference-of-sqr--1_binary64_3459` `difference-of-sqr-1_binary64_3458` `difference-of-squares_binary64_3457` `cancel-sign-sub_binary64_3453` `distribute-neg-out_binary64_3450` `distribute-neg-in_binary64_3449` `distribute-rgt-out--_binary64_3442` `distribute-lft-out--_binary64_3440` `associate--r-_binary64_3427`

Counts

77 → 35

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	108	1037
1	181	992
2	429	989
3	626	989
4	1278	989
5	1968	989
6	2505	989
7	3508	989
8	4451	989
9	4988	989
10	4831	989

prune35.0ms (0.1%)

Pruning

35 alts after pruning (33 fresh and 2 done)

	Pruned	Kept	Total
New	30	5	35
Fresh	2	28	30
Picked	0	1	1
Done	0	1	1
Total	32	35	67

Error

24.6b

Counts

67 → 35

Compiler

Compiled 411 to 275 computations (33.1% saved)

regimes7.2s (22.1%)

Accuracy

Total 7.2b remaining (22.9%)

Threshold costs 0b (0%)

Compiler

Compiled 59989 to 45104 computations (24.8% saved)

bsearch23.0ms (0.1%)

Compiler: Compiled 40 to 32 computations (20% saved)

simplify45.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

30×	`*-commutative_binary64_3419`
22×	`+-commutative_binary64_3418`
20×	`sub-neg_binary64_3481`
18×	`neg-mul-1_binary64_3484` `neg-sub0_binary64_3483`
11×	`distribute-rgt-neg-in_binary64_3446`
10×	`distribute-lft-neg-in_binary64_3445`
5×	`cancel-sign-sub-inv_binary64_3454`
2×	`distribute-neg-frac_binary64_3452` `distribute-frac-neg_binary64_3451` `distribute-lft-neg-out_binary64_3447`
1×	`if-if-or-not_binary64_3746` `1-exp_binary64_3532` `*-rgt-identity_binary64_3478` `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_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` `unsub-neg_binary64_3482` `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_binary64_3453` `distribute-neg-out_binary64_3450` `distribute-neg-in_binary64_3449`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	54	390
1	98	390
2	145	390
3	179	390
4	200	388
5	207	388
6	201	388

Compiler

Compiled 504 to 354 computations (29.8% saved)

end0.0ms (0%)

sample11.5s (35.3%)

Algorithm

1×

intervals

Results

812.0ms	5577×	body	128	valid
502.0ms	643×	body	2048	valid
497.0ms	846×	body	1024	valid
493.0ms	849×	body	1024	nan
436.0ms	571×	body	2048	nan
434.0ms	2950×	body	128	nan
263.0ms	589×	body	512	valid
262.0ms	588×	body	512	nan
103.0ms	343×	body	256	valid
96.0ms	344×	body	256	nan
2.0ms	2×	body	4096	valid

Compiler

Compiled 9328 to 6951 computations (25.5% saved)

Details

analyze3.0s (9.4%)

sample166.0ms (0.5%)

simplify40.0ms (0.1%)

prune5.0ms (0%)

localize24.0ms (0.1%)

rewrite1.2s (3.7%)

series6.7s (20.5%)

simplify321.0ms (1%)

prune1.1s (3.3%)

localize9.0ms (0%)

rewrite69.0ms (0.2%)

series153.0ms (0.5%)

simplify151.0ms (0.5%)

prune93.0ms (0.3%)

localize5.0ms (0%)

rewrite50.0ms (0.2%)

series55.0ms (0.2%)

simplify195.0ms (0.6%)

prune88.0ms (0.3%)

localize7.0ms (0%)

rewrite97.0ms (0.3%)

series91.0ms (0.3%)

simplify151.0ms (0.5%)

prune35.0ms (0.1%)

regimes7.2s (22.1%)

bsearch23.0ms (0.1%)

simplify45.0ms (0.1%)

end0.0ms (0%)

sample11.5s (35.3%)

Profiling