Details

analyze391.0ms (6.3%)

Algorithm

1×	search
2×	egg-herbie

Rules

1298×	`associate--r-_binary64_3427`
588×	`div-sub_binary64_3493`
492×	`unsub-neg_binary64_3482`
469×	`sub-neg_binary64_3481`
405×	`distribute-rgt-in_binary64_3438`
381×	`neg-mul-1_binary64_3484`
352×	`neg-sub0_binary64_3483`
318×	`distribute-frac-neg_binary64_3451`
292×	`distribute-lft-in_binary64_3437`
270×	`distribute-rgt-neg-in_binary64_3446`
246×	`distribute-lft-neg-in_binary64_3445`
219×	`associate--r+_binary64_3424`
209×	`*-commutative_binary64_3419`
194×	`cancel-sign-sub-inv_binary64_3454`
188×	`associate-/l*_binary64_3433`
166×	`+-commutative_binary64_3418`
157×	`associate-/r/_binary64_3434`
144×	`remove-double-neg_binary64_3476`
142×	`distribute-rgt-out--_binary64_3442`
137×	`distribute-neg-in_binary64_3449`
126×	`distribute-rgt-neg-out_binary64_3448`
124×	`distribute-lft-neg-out_binary64_3447`
118×	`distribute-lft-out--_binary64_3440`
116×	`distribute-lft-out_binary64_3439` `associate-/l/_binary64_3435`
114×	`distribute-neg-out_binary64_3450`
98×	`distribute-neg-frac_binary64_3452`
96×	`associate-+l-_binary64_3423`
77×	`associate-r_binary64_3428`
69×	`associate-+l+_binary64_3421`
66×	`associate-+r+_binary64_3420`
65×	`associate-/r*_binary64_3432`
56×	`associate-*l/_binary64_3431`
52×	`distribute-rgt-out_binary64_3441`
48×	`associate--l+_binary64_3425`
46×	`associate-+r-_binary64_3422`
38×	`associate-l_binary64_3429`
31×	`/-rgt-identity_binary64_3479`
29×	`sub0-neg_binary64_3475`
28×	`associate-*r/_binary64_3430`
19×	`*-lft-identity_binary64_3477`
17×	`mul0-lft_binary64_3470`
16×	`mul0-rgt_binary64_3471`
15×	`+-rgt-identity_binary64_3473`
14×	`+-lft-identity_binary64_3472`
12×	`*-rgt-identity_binary64_3478`
9×	`div0_binary64_3469`
7×	`+-inverses_binary64_3467` `associate--l-_binary64_3426`
6×	`sqr-neg_binary64_3502` `swap-sqr_binary64_3455`
2×	`*-inverses_binary64_3468` `difference-of-squares_binary64_3457`
1×	`1-exp_binary64_3532` `distribute-rgt1-in_binary64_3444` `distribute-lft1-in_binary64_3443`
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` `rem-sqrt-square_binary64_3501` `rem-square-sqrt_binary64_3500` `times-frac_binary64_3494` `mul-1-neg_binary64_3480` `--rgt-identity_binary64_3474` `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` `unswap-sqr_binary64_3456` `cancel-sign-sub_binary64_3453` `count-2_binary64_3436`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	44
1	36	44
2	86	44
3	164	44
4	353	44
5	878	44
6	1312	44
7	1556	44
8	1900	44
9	2477	44
10	2847	44
11	3176	44
12	3392	44
13	3407	44
14	3740	44
15	3520	44
16	3568	44
17	3560	44
18	3592	44
19	3592	44
20	5790	44
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	18.7%	81.3%	0
0%	18.7%	81.3%	1
0%	18.7%	81.3%	2
0%	18.7%	81.3%	3
0%	18.7%	81.3%	4
4.7%	14%	81.3%	5
5.3%	13.5%	81.3%	6
18.1%	0.6%	81.3%	7
18.1%	0.6%	81.3%	8
18.6%	0.1%	81.3%	9
18.6%	0.1%	81.3%	10
18.7%	0%	81.3%	11
18.7%	0%	81.3%	12
18.7%	0%	81.3%	13
18.7%	0%	81.3%	14

Compiler

Compiled 23 to 15 computations (34.8% saved)

sample213.0ms (3.4%)

Algorithm

1×

intervals

Results

192.0ms	256×	pre	128	true
9.0ms	256×	body	128	valid

Compiler

Compiled 38 to 26 computations (31.6% saved)

simplify177.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

917×	`times-frac_binary64_3494`
687×	`unsub-neg_binary64_3482`
552×	`sub-neg_binary64_3481`
367×	`distribute-lft-neg-in_binary64_3445`
317×	`associate-*l/_binary64_3431`
287×	`associate-/l*_binary64_3433`
271×	`neg-sub0_binary64_3483`
267×	`distribute-rgt-in_binary64_3438`
256×	`distribute-neg-in_binary64_3449`
251×	`+-commutative_binary64_3418`
239×	`div-sub_binary64_3493`
236×	`distribute-neg-out_binary64_3450`
223×	`*-commutative_binary64_3419`
222×	`distribute-rgt-out--_binary64_3442`
208×	`neg-mul-1_binary64_3484`
204×	`distribute-rgt-neg-in_binary64_3446`
188×	`associate-/r*_binary64_3432`
184×	`cancel-sign-sub-inv_binary64_3454`
180×	`distribute-rgt-neg-out_binary64_3448`
173×	`associate-/l/_binary64_3435`
160×	`associate--r+_binary64_3424`
158×	`associate-+l-_binary64_3423`
153×	`distribute-lft-in_binary64_3437`
139×	`distribute-frac-neg_binary64_3451` `distribute-lft-neg-out_binary64_3447`
137×	`distribute-neg-frac_binary64_3452`
128×	`associate--l+_binary64_3425`
122×	`associate-r_binary64_3428`
120×	`*-lft-identity_binary64_3477`
119×	`mul-1-neg_binary64_3480` `distribute-rgt-out_binary64_3441`
95×	`associate-/r/_binary64_3434`
85×	`associate-+r-_binary64_3422`
80×	`associate--l-_binary64_3426`
74×	`associate--r-_binary64_3427`
72×	`remove-double-neg_binary64_3476`
71×	`distribute-lft-out_binary64_3439`
69×	`distribute-lft-out--_binary64_3440`
57×	`associate-+l+_binary64_3421`
55×	`associate-+r+_binary64_3420`
51×	`associate-l_binary64_3429`
41×	`sub0-neg_binary64_3475`
39×	`/-rgt-identity_binary64_3479`
19×	`*-rgt-identity_binary64_3478`
18×	`associate-*r/_binary64_3430`
17×	`mul0-lft_binary64_3470`
15×	`mul0-rgt_binary64_3471`
11×	`distribute-rgt1-in_binary64_3444`
10×	`+-rgt-identity_binary64_3473`
8×	`div0_binary64_3469`
7×	`+-lft-identity_binary64_3472` `swap-sqr_binary64_3455`
5×	`sqr-neg_binary64_3502` `cancel-sign-sub_binary64_3453` `distribute-lft1-in_binary64_3443`
4×	`+-inverses_binary64_3467`
3×	`--rgt-identity_binary64_3474`
2×	`remove-double-div_binary64_3464` `count-2_binary64_3436`
1×	`1-exp_binary64_3532` `difference-of-squares_binary64_3457`
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` `rem-sqrt-square_binary64_3501` `rem-square-sqrt_binary64_3500` `*-inverses_binary64_3468` `lft-mult-inverse_binary64_3466` `rgt-mult-inverse_binary64_3465` `pow-sqr_binary64_3461` `sqr-pow_binary64_3460` `difference-of-sqr--1_binary64_3459` `difference-of-sqr-1_binary64_3458` `unswap-sqr_binary64_3456`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	22
1	23	22
2	51	22
3	100	22
4	218	22
5	499	22
6	897	22
7	1954	22
8	2631	22
9	4334	22
10	3926	22
11	4140	22
12	4226	22
13	4228	22
14	4228	22
15	4979	22

prune2.0ms (0%)

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

18.8b

Counts

1 → 1

Compiler

Compiled 15 to 9 computations (40% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 (-.f64 x y) (+.f64 x y))
0.0b	(+.f64 (.f64 x x) (.f64 y y))
18.6b	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))

rewrite103.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

18.6b

Rules

11×	`add-sqr-sqrt_binary64_3510` `*-un-lft-identity_binary64_3488`
10×	`add-exp-log_binary64_3526` `add-cbrt-cube_binary64_3524`
8×	`flip3-+_binary64_3491` `frac-times_binary64_3498` `associate-/l/_binary64_3435` `flip-+_binary64_3462`
7×	`add-cube-cbrt_binary64_3523`
6×	`flip3--_binary64_3492` `flip--_binary64_3463`
5×	`pow1_binary64_3549` `add-log-exp_binary64_3527` `associate-l_binary64_3429`
4×	`associate-l/_binary64_3431` `associate-r/_binary64_3430` `associate-r_binary64_3428`
3×	`times-frac_binary64_3494` `associate-/r*_binary64_3432`
2×	`prod-exp_binary64_3537` `div-exp_binary64_3539` `cbrt-undiv_binary64_3522` `cbrt-unprod_binary64_3521` `associate-/r/_binary64_3434`
1×	`frac-2neg_binary64_3499` `clear-num_binary64_3487` `div-inv_binary64_3485` `associate-/l_binary64_3433` `sum-log_binary64_3579` `+-commutative_binary64_3418` `pow-prod-down_binary64_3559` `unswap-sqr_binary64_3456` `distribute-rgt-in_binary64_3438` `distribute-lft-in_binary64_3437` `difference-of-squares_binary64_3457` `distribute-lft-out--_binary64_3440` `distribute-lft-out_binary64_3439` `-commutative_binary64_3419`

Counts

3 → 73

Calls

3 calls:

12.0ms	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))
9.0ms	(*.f64 (-.f64 x y) (+.f64 x y))
4.0ms	(+.f64 (.f64 x x) (.f64 y y))

Compiler

Compiled 1909 to 319 computations (83.3% saved)

series612.0ms (9.8%)

Error

0.3b

Counts

3 → 48

Calls

3 calls:

293.0ms	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))
146.0ms	(*.f64 (-.f64 x y) (+.f64 x y))
130.0ms	(+.f64 (.f64 x x) (.f64 y y))

Compiler

Compiled 1584 to 1160 computations (26.8% saved)

simplify78.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

640×	`associate-*l/_binary64_3431`
534×	`associate-/r*_binary64_3432`
255×	`associate-/r/_binary64_3434`
239×	`associate-/l/_binary64_3435`
185×	`distribute-rgt-in_binary64_3438`
174×	`distribute-lft-in_binary64_3437`
152×	`cancel-sign-sub-inv_binary64_3454`
135×	`div-sub_binary64_3493`
134×	`associate-r_binary64_3428`
131×	`associate-l_binary64_3429`
113×	`times-frac_binary64_3494`
97×	`*-commutative_binary64_3419`
94×	`associate-/l*_binary64_3433`
86×	`distribute-rgt-neg-in_binary64_3446`
84×	`sub-neg_binary64_3481`
76×	`distribute-lft-neg-in_binary64_3445`
69×	`unswap-sqr_binary64_3456`
47×	`distribute-lft-neg-out_binary64_3447`
46×	`distribute-neg-frac_binary64_3452`
39×	`distribute-rgt-neg-out_binary64_3448`
38×	`sqr-pow_binary64_3460`
35×	`+-commutative_binary64_3418`
34×	`associate-*r/_binary64_3430`
33×	`neg-sub0_binary64_3483`
32×	`neg-mul-1_binary64_3484`
31×	`exp-prod_binary64_3540`
25×	`*-rgt-identity_binary64_3478`
22×	`distribute-neg-in_binary64_3449`
20×	`unsub-neg_binary64_3482`
19×	`log-div_binary64_3575`
16×	`exp-sum_binary64_3534` `cube-div_binary64_3517` `/-rgt-identity_binary64_3479` `*-lft-identity_binary64_3477`
15×	`distribute-rgt-out--_binary64_3442`
13×	`associate--l+_binary64_3425`
12×	`distribute-rgt-out_binary64_3441`
11×	`associate--r+_binary64_3424`
10×	`difference-of-squares_binary64_3457` `distribute-lft-out_binary64_3439`
9×	`exp-diff_binary64_3536` `cube-unmult_binary64_3525` `cube-prod_binary64_3516`
8×	`log-prod_binary64_3574` `associate-+l+_binary64_3421`
6×	`distribute-lft-out--_binary64_3440`
5×	`swap-sqr_binary64_3455`
4×	`log-rec_binary64_3576` `unpow3_binary64_3554` `pow-plus_binary64_3551` `cube-mult_binary64_3518` `associate-+r+_binary64_3420`
3×	`pow-sqr_binary64_3461`
2×	`unpow2_binary64_3553` `unpow1/2_binary64_3552` `unpow1_binary64_3546` `rem-sqrt-square_binary64_3501` `remove-double-neg_binary64_3476` `*-inverses_binary64_3468` `distribute-rgt1-in_binary64_3444` `associate-+l-_binary64_3423` `associate-+r-_binary64_3422`
1×	`prod-exp_binary64_3537` `1-exp_binary64_3532` `exp-1-e_binary64_3531` `mul-1-neg_binary64_3480` `associate--r-_binary64_3427`
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` `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` `rem-square-sqrt_binary64_3500` `sub0-neg_binary64_3475` `--rgt-identity_binary64_3474` `+-rgt-identity_binary64_3473` `+-lft-identity_binary64_3472` `mul0-rgt_binary64_3471` `mul0-lft_binary64_3470` `div0_binary64_3469` `+-inverses_binary64_3467` `lft-mult-inverse_binary64_3466` `rgt-mult-inverse_binary64_3465` `remove-double-div_binary64_3464` `difference-of-sqr--1_binary64_3459` `difference-of-sqr-1_binary64_3458` `cancel-sign-sub_binary64_3453` `distribute-frac-neg_binary64_3451` `distribute-neg-out_binary64_3450` `distribute-lft1-in_binary64_3443` `count-2_binary64_3436` `associate--l-_binary64_3426`

Counts

121 → 91

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	157	2372
1	496	2156
2	2185	2136
3	4975	2136

prune84.0ms (1.4%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	88	3	91
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	89	3	92

Error

11.0b

Counts

92 → 3

Compiler

Compiled 1884 to 457 computations (75.7% saved)

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 x x) (.f64 y y))
0.0b	(/.f64 1 (/.f64 (+.f64 (.f64 x x) (.f64 y y)) (-.f64 (.f64 x x) (.f64 y y))))
18.6b	(/.f64 (+.f64 (.f64 x x) (.f64 y y)) (-.f64 (.f64 x x) (.f64 y y)))

rewrite200.0ms (3.2%)

Algorithm

1×	rewrite-expression-head

Error

11.0b

Rules

114×	`times-frac_binary64_3494`
63×	`add-cube-cbrt_binary64_3523` `add-sqr-sqrt_binary64_3510` `*-un-lft-identity_binary64_3488`
22×	`associate-/r*_binary64_3432`
16×	`add-exp-log_binary64_3526` `difference-of-squares_binary64_3457`
11×	`associate-/r/_binary64_3434`
10×	`add-cbrt-cube_binary64_3524`
8×	`div-exp_binary64_3539`
6×	`div-inv_binary64_3485` `associate-/l*_binary64_3433`
5×	`add-log-exp_binary64_3527` `flip3--_binary64_3492` `flip--_binary64_3463`
4×	`pow1_binary64_3549` `cbrt-undiv_binary64_3522`
2×	`frac-2neg_binary64_3499` `clear-num_binary64_3487` `flip3-+_binary64_3491` `associate-/l/_binary64_3435` `flip-+_binary64_3462` `1-exp_binary64_3532` `rec-exp_binary64_3538`
1×	`inv-pow_binary64_3573` `pow-flip_binary64_3562` `sum-log_binary64_3579` `+-commutative_binary64_3418`

Counts

3 → 142

Calls

3 calls:

12.0ms	(/.f64 1 (/.f64 (+.f64 (.f64 x x) (.f64 y y)) (-.f64 (.f64 x x) (.f64 y y))))
9.0ms	(/.f64 (+.f64 (.f64 x x) (.f64 y y)) (-.f64 (.f64 x x) (.f64 y y)))
4.0ms	(+.f64 (.f64 x x) (.f64 y y))

Compiler

Compiled 4737 to 907 computations (80.9% saved)

series728.0ms (11.7%)

Error

0.3b

Counts

3 → 60

Calls

3 calls:

269.0ms	(/.f64 (+.f64 (.f64 x x) (.f64 y y)) (-.f64 (.f64 x x) (.f64 y y)))
263.0ms	(/.f64 1 (/.f64 (+.f64 (.f64 x x) (.f64 y y)) (-.f64 (.f64 x x) (.f64 y y))))
127.0ms	(+.f64 (.f64 x x) (.f64 y y))

Compiler

Compiled 2112 to 1757 computations (16.8% saved)

simplify203.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

445×	`associate-/r/_binary64_3434`
422×	`distribute-rgt-in_binary64_3438`
378×	`distribute-lft-in_binary64_3437`
316×	`associate-/l/_binary64_3435`
168×	`cancel-sign-sub-inv_binary64_3454`
133×	`distribute-rgt-neg-in_binary64_3446`
126×	`distribute-lft-neg-in_binary64_3445`
94×	`*-commutative_binary64_3419`
90×	`associate-*l/_binary64_3431`
88×	`times-frac_binary64_3494`
81×	`associate-r_binary64_3428`
79×	`associate-/l*_binary64_3433`
75×	`sub-neg_binary64_3481`
69×	`associate-/r*_binary64_3432`
67×	`distribute-neg-frac_binary64_3452`
61×	`unswap-sqr_binary64_3456`
53×	`associate-*r/_binary64_3430`
51×	`exp-prod_binary64_3540`
49×	`neg-mul-1_binary64_3484` `+-commutative_binary64_3418`
47×	`associate-l_binary64_3429`
46×	`neg-sub0_binary64_3483`
40×	`distribute-neg-in_binary64_3449` `distribute-rgt-out_binary64_3441`
36×	`*-rgt-identity_binary64_3478`
34×	`distribute-lft-neg-out_binary64_3447`
29×	`log-prod_binary64_3574` `sqr-pow_binary64_3460` `associate-+r+_binary64_3420`
26×	`distribute-rgt-neg-out_binary64_3448` `distribute-lft-out_binary64_3439`
21×	`log-div_binary64_3575`
19×	`div-sub_binary64_3493`
18×	`unsub-neg_binary64_3482` `associate--r+_binary64_3424` `associate-+l+_binary64_3421`
16×	`difference-of-squares_binary64_3457`
15×	`*-lft-identity_binary64_3477` `distribute-rgt-out--_binary64_3442`
14×	`unpow3_binary64_3554`
13×	`cube-prod_binary64_3516`
10×	`swap-sqr_binary64_3455` `associate--l+_binary64_3425`
8×	`cube-unmult_binary64_3525`
7×	`log-rec_binary64_3576` `/-rgt-identity_binary64_3479`
6×	`pow-plus_binary64_3551` `distribute-lft-out--_binary64_3440` `associate-+r-_binary64_3422`
5×	`cube-div_binary64_3517` `remove-double-div_binary64_3464`
4×	`exp-sum_binary64_3534`
3×	`+-rgt-identity_binary64_3473` `distribute-rgt1-in_binary64_3444` `distribute-lft1-in_binary64_3443` `associate--r-_binary64_3427`
2×	`unpow2_binary64_3553` `unpow1/2_binary64_3552` `unpow1_binary64_3546` `cube-mult_binary64_3518` `+-lft-identity_binary64_3472` `pow-sqr_binary64_3461` `distribute-neg-out_binary64_3450`
1×	`prod-exp_binary64_3537` `exp-diff_binary64_3536` `1-exp_binary64_3532` `remove-double-neg_binary64_3476` `sub0-neg_binary64_3475` `div0_binary64_3469` `*-inverses_binary64_3468` `lft-mult-inverse_binary64_3466` `distribute-frac-neg_binary64_3451` `count-2_binary64_3436` `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` `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` `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-sqrt-square_binary64_3501` `rem-square-sqrt_binary64_3500` `mul-1-neg_binary64_3480` `--rgt-identity_binary64_3474` `mul0-rgt_binary64_3471` `mul0-lft_binary64_3470` `+-inverses_binary64_3467` `rgt-mult-inverse_binary64_3465` `difference-of-sqr--1_binary64_3459` `difference-of-sqr-1_binary64_3458` `cancel-sign-sub_binary64_3453` `associate--l-_binary64_3426`

Counts

202 → 144

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	215	6595
1	540	6158
2	2048	6063
3	4940	6063
4	4999	6063

prune147.0ms (2.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	144	0	144
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	144	3	147

Error

11.0b

Counts

147 → 3

Compiler

Compiled 3584 to 872 computations (75.7% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 -1 (.f64 2 (/.f64 (.f64 x x) (*.f64 y y))))
0.0b	(.f64 2 (/.f64 (.f64 x x) (*.f64 y y)))
22.3b	(/.f64 (.f64 x x) (.f64 y y))

rewrite84.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

3.6b

Rules

33×	`add-exp-log_binary64_3526` `add-cbrt-cube_binary64_3524`
13×	`prod-exp_binary64_3537` `cbrt-unprod_binary64_3521`
8×	`div-exp_binary64_3539` `cbrt-undiv_binary64_3522` `add-sqr-sqrt_binary64_3510`
5×	`pow1_binary64_3549` `add-log-exp_binary64_3527` `add-cube-cbrt_binary64_3523` `-un-lft-identity_binary64_3488` `associate-r*_binary64_3428`
3×	`times-frac_binary64_3494` `associate-l_binary64_3429`
2×	`div-inv_binary64_3485` `unswap-sqr_binary64_3456`
1×	`frac-2neg_binary64_3499` `clear-num_binary64_3487` `associate-/l_binary64_3433` `associate-/r_binary64_3432` `pow-prod-down_binary64_3559` `associate-r/_binary64_3430` `-commutative_binary64_3419` `sum-log_binary64_3579` `flip3-+_binary64_3491` `flip-+_binary64_3462` `+-commutative_binary64_3418`

Counts

3 → 62

Calls

3 calls:

11.0ms	(.f64 2 (/.f64 (.f64 x x) (*.f64 y y)))
6.0ms	(/.f64 (.f64 x x) (.f64 y y))
4.0ms	(+.f64 -1 (.f64 2 (/.f64 (.f64 x x) (*.f64 y y))))

Compiler

Compiled 1225 to 483 computations (60.6% saved)

series475.0ms (7.6%)

Error

3.9b

Counts

3 → 24

Calls

3 calls:

201.0ms	(+.f64 -1 (.f64 2 (/.f64 (.f64 x x) (*.f64 y y))))
139.0ms	(.f64 2 (/.f64 (.f64 x x) (*.f64 y y)))
118.0ms	(/.f64 (.f64 x x) (.f64 y y))

Compiler

Compiled 654 to 620 computations (5.2% saved)

simplify103.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

732×	`times-frac_binary64_3494`
587×	`associate-*l/_binary64_3431`
558×	`associate-l_binary64_3429`
530×	`associate-*r/_binary64_3430`
425×	`associate-/l*_binary64_3433`
278×	`associate-/r*_binary64_3432`
149×	`log-div_binary64_3575`
127×	`log-prod_binary64_3574`
120×	`associate-/r/_binary64_3434`
100×	`associate-/l/_binary64_3435`
98×	`cube-div_binary64_3517`
84×	`exp-prod_binary64_3540`
54×	`cancel-sign-sub-inv_binary64_3454`
52×	`distribute-rgt-neg-in_binary64_3446`
49×	`associate-r_binary64_3428`
47×	`distribute-rgt-in_binary64_3438`
45×	`*-commutative_binary64_3419`
43×	`distribute-lft-neg-in_binary64_3445`
38×	`distribute-neg-frac_binary64_3452`
36×	`sub-neg_binary64_3481`
29×	`unswap-sqr_binary64_3456`
28×	`distribute-lft-in_binary64_3437`
24×	`sqr-pow_binary64_3460`
21×	`cube-prod_binary64_3516`
19×	`distribute-rgt-neg-out_binary64_3448`
18×	`unpow3_binary64_3554` `distribute-lft-neg-out_binary64_3447`
16×	`neg-sub0_binary64_3483` `distribute-rgt-out_binary64_3441`
13×	`neg-mul-1_binary64_3484`
12×	`swap-sqr_binary64_3455` `+-commutative_binary64_3418`
10×	`log-pow_binary64_3577`
8×	`pow-plus_binary64_3551` `cube-unmult_binary64_3525` `cube-mult_binary64_3518`
6×	`unsub-neg_binary64_3482` `pow-sqr_binary64_3461` `distribute-rgt-out--_binary64_3442` `associate-+r-_binary64_3422`
5×	`exp-lft-sqr_binary64_3543` `prod-exp_binary64_3537` `mul-1-neg_binary64_3480`
4×	`exp-diff_binary64_3536`
3×	`unpow1_binary64_3546` `*-lft-identity_binary64_3477` `distribute-lft-out_binary64_3439` `associate--r+_binary64_3424` `associate-+l-_binary64_3423` `associate-+l+_binary64_3421`
2×	`log-rec_binary64_3576` `unpow2_binary64_3553` `unpow1/2_binary64_3552` `div-exp_binary64_3539` `exp-sum_binary64_3534` `distribute-neg-in_binary64_3449` `distribute-rgt1-in_binary64_3444` `distribute-lft-out--_binary64_3440` `count-2_binary64_3436` `associate--l+_binary64_3425` `associate-+r+_binary64_3420`
1×	`exp-neg_binary64_3535` `1-exp_binary64_3532` `exp-1-e_binary64_3531` `cube-neg_binary64_3515` `sqr-neg_binary64_3502` `rem-sqrt-square_binary64_3501` `remove-double-neg_binary64_3476` `difference-of-sqr--1_binary64_3459` `difference-of-sqr-1_binary64_3458` `distribute-lft1-in_binary64_3443`
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` `exp-sqrt_binary64_3541` `rec-exp_binary64_3538` `e-exp-1_binary64_3533` `exp-0_binary64_3530` `rem-log-exp_binary64_3529` `rem-exp-log_binary64_3528` `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` `div-sub_binary64_3493` `/-rgt-identity_binary64_3479` `-rgt-identity_binary64_3478` `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-squares_binary64_3457` `cancel-sign-sub_binary64_3453` `distribute-frac-neg_binary64_3451` `distribute-neg-out_binary64_3450` `associate--r-_binary64_3427` `associate--l-_binary64_3426`

Counts

86 → 61

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	104	1378
1	251	1190
2	880	1102
3	4431	1096
4	4979	1096
5	4981	1096

prune55.0ms (0.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	57	4	61
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	58	6	64

Error

3.6b

Counts

64 → 6

Compiler

Compiled 826 to 445 computations (46.1% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 -1 (.f64 2 (.f64 (fabs.f64 (/.f64 x y)) (fabs.f64 (/.f64 x y)))))
0.0b	(.f64 2 (.f64 (fabs.f64 (/.f64 x y)) (fabs.f64 (/.f64 x y))))
0.3b	(*.f64 (fabs.f64 (/.f64 x y)) (fabs.f64 (/.f64 x y)))

rewrite80.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

3.6b

Rules

15×	`pow1_binary64_3549`
11×	`add-sqr-sqrt_binary64_3510`
10×	`add-exp-log_binary64_3526` `add-cbrt-cube_binary64_3524`
8×	`add-cube-cbrt_binary64_3523` `*-un-lft-identity_binary64_3488`
6×	`associate-l_binary64_3429`
5×	`add-log-exp_binary64_3527`
4×	`pow-prod-down_binary64_3559` `prod-exp_binary64_3537` `cbrt-unprod_binary64_3521` `associate-r_binary64_3428`
3×	`swap-sqr_binary64_3455`
2×	`unswap-sqr_binary64_3456` `*-commutative_binary64_3419`
1×	`pow2_binary64_3569` `pow-prod-up_binary64_3558` `pow-plus_binary64_3551` `sqr-abs_binary64_3503` `pow-sqr_binary64_3461` `sum-log_binary64_3579` `flip3-+_binary64_3491` `flip-+_binary64_3462` `+-commutative_binary64_3418`

Counts

3 → 56

Calls

3 calls:

6.0ms	(.f64 2 (.f64 (fabs.f64 (/.f64 x y)) (fabs.f64 (/.f64 x y))))
4.0ms	(*.f64 (fabs.f64 (/.f64 x y)) (fabs.f64 (/.f64 x y)))
3.0ms	(+.f64 -1 (.f64 2 (.f64 (fabs.f64 (/.f64 x y)) (fabs.f64 (/.f64 x y)))))

Compiler

Compiled 1225 to 429 computations (65% saved)

series353.0ms (5.7%)

Error

3.6b

Counts

3 → 18

Calls

3 calls:

147.0ms	(+.f64 -1 (.f64 2 (.f64 (fabs.f64 (/.f64 x y)) (fabs.f64 (/.f64 x y)))))
114.0ms	(.f64 2 (.f64 (fabs.f64 (/.f64 x y)) (fabs.f64 (/.f64 x y))))
79.0ms	(*.f64 (fabs.f64 (/.f64 x y)) (fabs.f64 (/.f64 x y)))

Compiler

Compiled 540 to 472 computations (12.6% saved)

simplify59.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

700×	`associate-*l/_binary64_3431`
239×	`unswap-sqr_binary64_3456`
231×	`distribute-rgt-neg-in_binary64_3446`
220×	`distribute-rgt-in_binary64_3438`
217×	`cancel-sign-sub-inv_binary64_3454`
189×	`distribute-lft-in_binary64_3437`
178×	`*-commutative_binary64_3419`
175×	`distribute-lft-neg-in_binary64_3445`
139×	`associate-/l*_binary64_3433`
133×	`distribute-rgt-out_binary64_3441`
99×	`log-prod_binary64_3574`
97×	`associate-r_binary64_3428`
94×	`distribute-rgt-neg-out_binary64_3448` `distribute-lft-neg-out_binary64_3447`
84×	`exp-prod_binary64_3540` `cube-prod_binary64_3516`
79×	`associate-l_binary64_3429`
74×	`sqr-pow_binary64_3460`
72×	`associate-*r/_binary64_3430`
69×	`unsub-neg_binary64_3482`
60×	`neg-sub0_binary64_3483`
55×	`neg-mul-1_binary64_3484`
50×	`distribute-neg-out_binary64_3450`
48×	`distribute-neg-frac_binary64_3452`
47×	`swap-sqr_binary64_3455`
45×	`sub-neg_binary64_3481`
35×	`distribute-rgt-out--_binary64_3442`
25×	`associate-/r*_binary64_3432`
22×	`pow-sqr_binary64_3461` `associate-/l/_binary64_3435`
20×	`log-div_binary64_3575` `cube-div_binary64_3517` `distribute-lft-out_binary64_3439`
19×	`associate-+l+_binary64_3421`
17×	`associate-+r+_binary64_3420`
16×	`associate-/r/_binary64_3434`
14×	`unpow3_binary64_3554` `+-commutative_binary64_3418`
11×	`pow-plus_binary64_3551`
10×	`cube-mult_binary64_3518` `distribute-neg-in_binary64_3449`
9×	`distribute-rgt1-in_binary64_3444`
8×	`*-rgt-identity_binary64_3478` `remove-double-neg_binary64_3476`
7×	`*-lft-identity_binary64_3477`
6×	`log-pow_binary64_3577` `exp-lft-sqr_binary64_3543` `exp-diff_binary64_3536` `mul-1-neg_binary64_3480` `difference-of-sqr-1_binary64_3458` `associate-+l-_binary64_3423`
5×	`prod-exp_binary64_3537` `cube-unmult_binary64_3525` `sqr-neg_binary64_3502` `count-2_binary64_3436` `associate-+r-_binary64_3422`
4×	`cube-neg_binary64_3515` `rem-sqrt-square_binary64_3501`
3×	`sub0-neg_binary64_3475` `distribute-lft1-in_binary64_3443` `associate--l-_binary64_3426`
2×	`unpow1/2_binary64_3552` `div-exp_binary64_3539` `exp-sum_binary64_3534` `times-frac_binary64_3494` `--rgt-identity_binary64_3474` `associate--r-_binary64_3427`
1×	`unpow2_binary64_3553` `unpow1_binary64_3546` `1-exp_binary64_3532` `exp-1-e_binary64_3531` `rem-3cbrt-rft_binary64_3514` `rem-3cbrt-lft_binary64_3513` `sqr-abs_binary64_3503` `rem-square-sqrt_binary64_3500` `difference-of-sqr--1_binary64_3459` `distribute-lft-out--_binary64_3440` `associate--l+_binary64_3425`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_3751` `erf-erfc_binary64_3750` `erf-odd_binary64_3749` `if-if-and-not_binary64_3748` `if-if-and_binary64_3747` `if-if-or-not_binary64_3746` `if-if-or_binary64_3745` `if-not_binary64_3744` `if-same_binary64_3743` `if-false_binary64_3742` `if-true_binary64_3741` `not-gte_binary64_3740` `not-lte_binary64_3739` `not-gt_binary64_3738` `not-lt_binary64_3737` `gte-same_binary64_3736` `lte-same_binary64_3735` `gt-same_binary64_3734` `lt-same_binary64_3733` `sinh---cosh_binary64_3680` `sinh-+-cosh_binary64_3679` `sinh-cosh_binary64_3678` `tanh-def-c_binary64_3677` `tanh-def-b_binary64_3676` `tanh-def-a_binary64_3675` `cosh-def_binary64_3674` `sinh-def_binary64_3673` `tan-neg_binary64_3620` `cos-neg_binary64_3619` `sin-neg_binary64_3618` `tan-0_binary64_3617` `cos-0_binary64_3616` `sin-0_binary64_3615` `hang-m-tan_binary64_3614` `hang-p-tan_binary64_3613` `hang-m0-tan_binary64_3612` `hang-p0-tan_binary64_3611` `hang-0m-tan_binary64_3610` `hang-0p-tan_binary64_3609` `tan-+PI/2_binary64_3608` `tan-+PI_binary64_3607` `tan-PI_binary64_3606` `tan-PI/3_binary64_3605` `tan-PI/4_binary64_3604` `tan-PI/6_binary64_3603` `cos-+PI/2_binary64_3602` `cos-+PI_binary64_3601` `cos-PI_binary64_3600` `cos-PI/2_binary64_3599` `cos-PI/3_binary64_3598` `cos-PI/4_binary64_3597` `cos-PI/6_binary64_3596` `sin-+PI/2_binary64_3595` `sin-+PI_binary64_3594` `sin-PI_binary64_3593` `sin-PI/2_binary64_3592` `sin-PI/3_binary64_3591` `sin-PI/4_binary64_3590` `sin-PI/6_binary64_3589` `sub-1-sin_binary64_3588` `sub-1-cos_binary64_3587` `-1-add-sin_binary64_3586` `-1-add-cos_binary64_3585` `1-sub-sin_binary64_3584` `1-sub-cos_binary64_3583` `cos-sin-sum_binary64_3582` `log-E_binary64_3578` `log-rec_binary64_3576` `pow-base-0_binary64_3572` `unpow1/3_binary64_3555` `exp-to-pow_binary64_3550` `pow-base-1_binary64_3548` `unpow0_binary64_3547` `unpow-1_binary64_3545` `exp-lft-cube_binary64_3544` `exp-cbrt_binary64_3542` `exp-sqrt_binary64_3541` `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` `rem-cbrt-cube_binary64_3512` `rem-cube-cbrt_binary64_3511` `div-sub_binary64_3493` `/-rgt-identity_binary64_3479` `+-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-squares_binary64_3457` `cancel-sign-sub_binary64_3453` `distribute-frac-neg_binary64_3451` `associate--r+_binary64_3424`

Counts

74 → 45

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	79	1131
1	174	980
2	540	931
3	1433	913
4	5129	913

prune47.0ms (0.8%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	41	4	45
Fresh	1	3	4
Picked	1	0	1
Done	0	1	1
Total	43	8	51

Error

3.6b

Counts

51 → 8

Compiler

Compiled 676 to 401 computations (40.7% saved)

regimes432.0ms (6.9%)

Accuracy

Total 4.4b remaining (93.2%)

Threshold costs 0b (0%)

Compiler

Compiled 2823 to 1835 computations (35% saved)

bsearch3.0ms (0%)

Compiler: Compiled 15 to 9 computations (40% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

7×	`+-commutative_binary64_3418`
4×	`sub-neg_binary64_3481` `*-commutative_binary64_3419`
2×	`neg-mul-1_binary64_3484` `neg-sub0_binary64_3483`
1×	`1-exp_binary64_3532` `cancel-sign-sub-inv_binary64_3454` `distribute-lft-neg-out_binary64_3447` `distribute-rgt-neg-in_binary64_3446`
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` `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` `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-in_binary64_3445`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	68
1	36	68
2	42	68
3	46	68
4	48	68
5	47	68

end0.0ms (0%)

sample1.6s (25.1%)

Algorithm

1×

intervals

Results

296.0ms	8000×	body	128	valid
162.0ms	8000×	pre	128	true

Compiler

Compiled 989 to 639 computations (35.4% saved)

Details

analyze391.0ms (6.3%)

sample213.0ms (3.4%)

simplify177.0ms (2.8%)

prune2.0ms (0%)

localize8.0ms (0.1%)

rewrite103.0ms (1.6%)

series612.0ms (9.8%)

simplify78.0ms (1.3%)

prune84.0ms (1.4%)

localize10.0ms (0.2%)

rewrite200.0ms (3.2%)

series728.0ms (11.7%)

simplify203.0ms (3.3%)

prune147.0ms (2.4%)

localize7.0ms (0.1%)

rewrite84.0ms (1.4%)

series475.0ms (7.6%)

simplify103.0ms (1.7%)

prune55.0ms (0.9%)

localize7.0ms (0.1%)

rewrite80.0ms (1.3%)

series353.0ms (5.7%)

simplify59.0ms (0.9%)

prune47.0ms (0.8%)

regimes432.0ms (6.9%)

bsearch3.0ms (0%)

simplify5.0ms (0.1%)

end0.0ms (0%)

sample1.6s (25.1%)

Profiling