Details

analyze548.0ms (12.9%)

Algorithm

1×

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%	99.8%	0.2%	8
6.2%	93.6%	0.2%	9
12.5%	87.3%	0.2%	10
15.6%	80.3%	4.1%	11
31.2%	63.9%	4.9%	12
39%	50.9%	10.1%	13
44.8%	44.4%	10.7%	14

Compiler

Compiled 8 to 8 computations (0% saved)

sample24.0ms (0.6%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
5.0ms	49×	body	128	invalid

Compiler

Compiled 15 to 19 computations (-26.7% saved)

simplify818.0ms (19.2%)

Algorithm

1×	egg-herbie

Rules

514×	`exp-prod_binary64_3540`
474×	`swap-sqr_binary64_3455`
350×	`distribute-rgt-neg-in_binary64_3446`
306×	`sub-neg_binary64_3481`
305×	`exp-sum_binary64_3534`
284×	`*-commutative_binary64_3419`
259×	`distribute-rgt-in_binary64_3438`
247×	`neg-mul-1_binary64_3484`
244×	`neg-sub0_binary64_3483`
195×	`unsub-neg_binary64_3482`
174×	`pow-plus_binary64_3551`
166×	`distribute-rgt-out_binary64_3441`
161×	`associate-r_binary64_3428`
155×	`associate-+l+_binary64_3421`
154×	`distribute-rgt1-in_binary64_3444`
142×	`distribute-lft-in_binary64_3437`
139×	`distribute-lft-neg-in_binary64_3445`
130×	`associate--r+_binary64_3424`
128×	`distribute-rgt-out--_binary64_3442`
116×	`associate-+r+_binary64_3420`
99×	`associate--l+_binary64_3425`
97×	`cancel-sign-sub-inv_binary64_3454`
94×	`exp-diff_binary64_3536` `associate-l_binary64_3429`
85×	`associate-+l-_binary64_3423`
74×	`+-commutative_binary64_3418`
60×	`distribute-lft-out_binary64_3439`
57×	`associate-+r-_binary64_3422`
56×	`distribute-lft-out--_binary64_3440`
40×	`associate--r-_binary64_3427`
33×	`associate--l-_binary64_3426`
28×	`distribute-lft-neg-out_binary64_3447`
25×	`sqr-neg_binary64_3502`
19×	`distribute-neg-in_binary64_3449`
18×	`distribute-rgt-neg-out_binary64_3448`
17×	`exp-lft-sqr_binary64_3543`
14×	`distribute-lft1-in_binary64_3443`
12×	`exp-neg_binary64_3535`
11×	`+-inverses_binary64_3467` `count-2_binary64_3436`
8×	`mul0-lft_binary64_3470`
7×	`cube-prod_binary64_3516` `remove-double-neg_binary64_3476` `distribute-neg-out_binary64_3450`
6×	`cube-unmult_binary64_3525` `sub0-neg_binary64_3475` `mul0-rgt_binary64_3471`
5×	`--rgt-identity_binary64_3474`
4×	`div-sub_binary64_3493` `+-rgt-identity_binary64_3473` `+-lft-identity_binary64_3472`
2×	`cube-neg_binary64_3515` `difference-of-squares_binary64_3457` `unswap-sqr_binary64_3456`
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` `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-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-mult_binary64_3518` `cube-div_binary64_3517` `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_3479` `-rgt-identity_binary64_3478` `-lft-identity_binary64_3477` `div0_binary64_3469` `-inverses_binary64_3468` `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` `cancel-sign-sub_binary64_3453` `distribute-neg-frac_binary64_3452` `distribute-frac-neg_binary64_3451` `associate-/l/_binary64_3435` `associate-/r/_binary64_3434` `associate-/l_binary64_3433` `associate-/r_binary64_3432` `associate-l/_binary64_3431` `associate-*r/_binary64_3430`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	15	10
2	25	10
3	37	10
4	58	10
5	80	10
6	165	10
7	1139	10
8	3646	10

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

0.0b

Counts

1 → 1

Compiler

Compiled 7 to 7 computations (0% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(-.f64 (.f64 x y) (.f64 z t))

rewrite14.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

3×	`add-log-exp_binary64_3527`
1×	`diff-log_binary64_3580` `pow1_binary64_3549` `add-exp-log_binary64_3526` `add-cbrt-cube_binary64_3524` `add-cube-cbrt_binary64_3523` `add-sqr-sqrt_binary64_3510` `flip3--_binary64_3492` `*-un-lft-identity_binary64_3488` `sub-neg_binary64_3481` `flip--_binary64_3463` `cancel-sign-sub-inv_binary64_3454`

Counts

1 → 12

Calls

1 calls:

4.0ms

(-.f64 (*.f64 x y) (*.f64 z t))

Compiler

Compiled 187 to 46 computations (75.4% saved)

series226.0ms (5.3%)

Error

0.0b

Counts

1 → 24

Calls

1 calls:

215.0ms

(-.f64 (*.f64 x y) (*.f64 z t))

Compiler

Compiled 348 to 259 computations (25.6% saved)

simplify136.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

966×	`unsub-neg_binary64_3482`
472×	`times-frac_binary64_3494`
235×	`distribute-rgt-neg-in_binary64_3446`
224×	`neg-sub0_binary64_3483`
217×	`neg-mul-1_binary64_3484`
214×	`exp-prod_binary64_3540`
212×	`distribute-rgt-in_binary64_3438`
196×	`distribute-lft-neg-in_binary64_3445`
180×	`distribute-lft-in_binary64_3437`
176×	`distribute-lft-neg-out_binary64_3447`
170×	`*-commutative_binary64_3419`
161×	`cancel-sign-sub-inv_binary64_3454`
159×	`associate-l_binary64_3429`
142×	`distribute-rgt-neg-out_binary64_3448`
132×	`unswap-sqr_binary64_3456`
116×	`associate-r_binary64_3428`
111×	`distribute-rgt-out_binary64_3441`
89×	`sqr-pow_binary64_3460`
81×	`distribute-neg-in_binary64_3449`
80×	`exp-sum_binary64_3534`
77×	`associate-/l*_binary64_3433`
70×	`difference-of-squares_binary64_3457`
60×	`+-commutative_binary64_3418`
54×	`pow-sqr_binary64_3461`
53×	`distribute-neg-out_binary64_3450`
49×	`sub-neg_binary64_3481`
44×	`associate-+l-_binary64_3423`
42×	`associate-/r*_binary64_3432`
38×	`associate-*r/_binary64_3430`
35×	`associate-/l/_binary64_3435`
32×	`mul0-rgt_binary64_3471` `mul0-lft_binary64_3470`
29×	`associate-+r+_binary64_3420`
24×	`exp-diff_binary64_3536`
23×	`associate-*l/_binary64_3431`
21×	`swap-sqr_binary64_3455` `associate--r+_binary64_3424` `associate-+l+_binary64_3421`
17×	`associate-+r-_binary64_3422`
16×	`cube-unmult_binary64_3525` `cube-prod_binary64_3516`
13×	`sqr-neg_binary64_3502`
12×	`exp-neg_binary64_3535` `associate-/r/_binary64_3434`
11×	`pow-plus_binary64_3551` `div-sub_binary64_3493` `distribute-rgt1-in_binary64_3444` `associate--l+_binary64_3425`
9×	`mul-1-neg_binary64_3480` `+-rgt-identity_binary64_3473`
8×	`distribute-lft-out_binary64_3439`
7×	`unpow3_binary64_3554`
6×	`cube-mult_binary64_3518` `sub0-neg_binary64_3475`
3×	`cube-neg_binary64_3515` `distribute-lft1-in_binary64_3443` `distribute-rgt-out--_binary64_3442`
2×	`log-prod_binary64_3574` `div-exp_binary64_3539` `--rgt-identity_binary64_3474` `distribute-frac-neg_binary64_3451`
1×	`prod-exp_binary64_3537` `1-exp_binary64_3532` `-rgt-identity_binary64_3478` `remove-double-neg_binary64_3476` `+-lft-identity_binary64_3472` `-inverses_binary64_3468` `cancel-sign-sub_binary64_3453` `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` `log-pow_binary64_3577` `log-rec_binary64_3576` `log-div_binary64_3575` `pow-base-0_binary64_3572` `unpow1/3_binary64_3555` `unpow2_binary64_3553` `unpow1/2_binary64_3552` `exp-to-pow_binary64_3550` `pow-base-1_binary64_3548` `unpow0_binary64_3547` `unpow1_binary64_3546` `unpow-1_binary64_3545` `exp-lft-cube_binary64_3544` `exp-lft-sqr_binary64_3543` `exp-cbrt_binary64_3542` `exp-sqrt_binary64_3541` `rec-exp_binary64_3538` `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` `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` `/-rgt-identity_binary64_3479` `*-lft-identity_binary64_3477` `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` `distribute-neg-frac_binary64_3452` `distribute-lft-out--_binary64_3440` `associate--r-_binary64_3427` `associate--l-_binary64_3426`

Counts

36 → 35

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	36	400
1	104	379
2	297	379
3	814	379
4	1765	379
5	3252	379

prune31.0ms (0.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	34	1	35
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	34	2	36

Error

0.0b

Counts

36 → 2

Compiler

Compiled 691 to 135 computations (80.5% saved)

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (.f64 x y) (.f64 z t))
0.2b	(.f64 (sqrt.f64 (-.f64 (.f64 x y) (.f64 z t))) (sqrt.f64 (-.f64 (.f64 x y) (*.f64 t z))))
1.5b	(sqrt.f64 (-.f64 (.f64 x y) (.f64 t z)))
1.5b	(sqrt.f64 (-.f64 (.f64 x y) (.f64 z t)))

rewrite121.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

20×	`add-sqr-sqrt_binary64_3510`
16×	`sqrt-div_binary64_3505` `sqrt-prod_binary64_3504`
10×	`pow1_binary64_3549` `add-cube-cbrt_binary64_3523` `*-un-lft-identity_binary64_3488`
9×	`flip3--_binary64_3492` `flip--_binary64_3463`
6×	`add-log-exp_binary64_3527` `add-exp-log_binary64_3526` `add-cbrt-cube_binary64_3524` `associate-l_binary64_3429` `associate-r_binary64_3428`
4×	`pow1/2_binary64_3568` `sqrt-pow1_binary64_3506` `frac-times_binary64_3498` `unswap-sqr_binary64_3456`
3×	`pow-prod-down_binary64_3559`
2×	`rem-sqrt-square_binary64_3501` `associate-l/_binary64_3431` `associate-r/_binary64_3430`
1×	`prod-exp_binary64_3537` `cbrt-unprod_binary64_3521` `sqrt-unprod_binary64_3508` `*-commutative_binary64_3419` `diff-log_binary64_3580` `sub-neg_binary64_3481` `cancel-sign-sub-inv_binary64_3454`

Counts

4 → 80

Calls

4 calls:

13.0ms	(.f64 (sqrt.f64 (-.f64 (.f64 x y) (.f64 z t))) (sqrt.f64 (-.f64 (.f64 x y) (*.f64 t z))))
4.0ms	(sqrt.f64 (-.f64 (.f64 x y) (.f64 z t)))
4.0ms	(-.f64 (.f64 x y) (.f64 z t))
4.0ms	(sqrt.f64 (-.f64 (.f64 x y) (.f64 t z)))

Compiler

Compiled 2398 to 302 computations (87.4% saved)

series819.0ms (19.2%)

Error

0.0b

Counts

4 → 78

Calls

4 calls:

222.0ms	(.f64 (sqrt.f64 (-.f64 (.f64 x y) (.f64 z t))) (sqrt.f64 (-.f64 (.f64 x y) (*.f64 t z))))
213.0ms	(-.f64 (.f64 x y) (.f64 z t))
172.0ms	(sqrt.f64 (-.f64 (.f64 x y) (.f64 t z)))
163.0ms	(sqrt.f64 (-.f64 (.f64 x y) (.f64 z t)))

Compiler

Compiled 3196 to 1743 computations (45.5% saved)

simplify283.0ms (6.7%)

Algorithm

1×	egg-herbie

Rules

432×	`associate-*l/_binary64_3431`
387×	`distribute-rgt-in_binary64_3438`
345×	`distribute-lft-in_binary64_3437`
320×	`associate-l_binary64_3429`
291×	`associate-r_binary64_3428`
253×	`unswap-sqr_binary64_3456`
146×	`times-frac_binary64_3494`
137×	`cancel-sign-sub-inv_binary64_3454`
104×	`distribute-rgt-neg-in_binary64_3446`
101×	`associate-/l*_binary64_3433`
100×	`distribute-lft-neg-in_binary64_3445`
96×	`associate-/r*_binary64_3432`
94×	`distribute-lft-neg-out_binary64_3447`
89×	`*-commutative_binary64_3419`
85×	`distribute-rgt-neg-out_binary64_3448`
74×	`sqr-pow_binary64_3460`
70×	`associate-/r/_binary64_3434`
40×	`neg-sub0_binary64_3483`
39×	`sub-neg_binary64_3481`
37×	`unsub-neg_binary64_3482` `pow-sqr_binary64_3461`
36×	`exp-prod_binary64_3540`
33×	`neg-mul-1_binary64_3484`
31×	`associate-/l/_binary64_3435`
27×	`distribute-rgt-out_binary64_3441` `associate-*r/_binary64_3430`
23×	`difference-of-squares_binary64_3457`
20×	`cube-prod_binary64_3516`
18×	`swap-sqr_binary64_3455`
17×	`log-prod_binary64_3574`
16×	`pow-plus_binary64_3551` `exp-sum_binary64_3534`
14×	`*-rgt-identity_binary64_3478` `+-commutative_binary64_3418`
12×	`rem-sqrt-square_binary64_3501`
11×	`*-lft-identity_binary64_3477`
10×	`mul0-rgt_binary64_3471` `mul0-lft_binary64_3470`
8×	`log-div_binary64_3575` `unpow3_binary64_3554` `exp-sqrt_binary64_3541` `cube-unmult_binary64_3525` `distribute-lft-out_binary64_3439`
7×	`cube-mult_binary64_3518` `cube-div_binary64_3517` `rem-square-sqrt_binary64_3500`
6×	`exp-diff_binary64_3536` `associate-+r-_binary64_3422` `associate-+r+_binary64_3420`
5×	`mul-1-neg_binary64_3480`
4×	`sub0-neg_binary64_3475` `+-rgt-identity_binary64_3473` `associate-+l-_binary64_3423` `associate-+l+_binary64_3421`
3×	`unpow2_binary64_3553` `unpow1_binary64_3546`
2×	`distribute-neg-in_binary64_3449` `count-2_binary64_3436`
1×	`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` `sqr-neg_binary64_3502` `/-rgt-identity_binary64_3479` `*-inverses_binary64_3468` `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` `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` `rec-exp_binary64_3538` `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` `div-sub_binary64_3493` `remove-double-neg_binary64_3476` `--rgt-identity_binary64_3474` `+-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-neg-frac_binary64_3452` `distribute-frac-neg_binary64_3451` `distribute-neg-out_binary64_3450` `distribute-rgt1-in_binary64_3444` `distribute-rgt-out--_binary64_3442` `distribute-lft-out--_binary64_3440` `associate--r-_binary64_3427` `associate--l-_binary64_3426` `associate--l+_binary64_3425` `associate--r+_binary64_3424`

Counts

158 → 303

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	131	2707
1	223	2426
2	650	2370
3	1730	2370

prune353.0ms (8.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	303	0	303
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	303	2	305

Error

0.0b

Counts

305 → 2

Compiler

Compiled 10127 to 1391 computations (86.3% saved)

regimes141.0ms (3.3%)

Accuracy

Total 0.0b remaining (16.1%)

Threshold costs 0.0b (16.1%)

Compiler

Compiled 951 to 752 computations (20.9% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

5×	`*-commutative_binary64_3419`
4×	`sub-neg_binary64_3481` `+-commutative_binary64_3418`
3×	`neg-mul-1_binary64_3484` `neg-sub0_binary64_3483`
2×	`cancel-sign-sub-inv_binary64_3454` `distribute-rgt-neg-in_binary64_3446`
1×	`distribute-lft-neg-out_binary64_3447` `distribute-lft-neg-in_binary64_3445`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `if-if-and-not_binary64_3748` `if-if-and_binary64_3747` `if-if-or-not_binary64_3746` `if-if-or_binary64_3745` `if-not_binary64_3744` `if-same_binary64_3743` `if-false_binary64_3742` `if-true_binary64_3741` `tan-0_binary64_3617` `cos-0_binary64_3616` `sin-0_binary64_3615` `unpow1_binary64_3546` `e-exp-1_binary64_3533` `1-exp_binary64_3532` `exp-1-e_binary64_3531` `exp-0_binary64_3530` `sqr-abs_binary64_3503` `sqr-neg_binary64_3502` `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`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	15	10
2	25	10
3	31	10
4	35	10
5	36	10

Proof

(- f64 (* f64 h0 h1) (* f64 h2 h3))

end0.0ms (0%)

sample717.0ms (16.9%)

Algorithm

1×

intervals

Results

198.0ms	8000×	body	128	valid
34.0ms	1318×	body	128	invalid

Compiler

Compiled 146 to 117 computations (19.9% saved)

Details

analyze548.0ms (12.9%)

sample24.0ms (0.6%)

simplify818.0ms (19.2%)

prune2.0ms (0%)

localize5.0ms (0.1%)

rewrite14.0ms (0.3%)

series226.0ms (5.3%)

simplify136.0ms (3.2%)

prune31.0ms (0.7%)

localize13.0ms (0.3%)

rewrite121.0ms (2.8%)

series819.0ms (19.2%)

simplify283.0ms (6.7%)

prune353.0ms (8.3%)

regimes141.0ms (3.3%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample717.0ms (16.9%)

Profiling