Details

analyze221.0ms (3.8%)

Algorithm

1×	search
2×	egg-herbie

Rules

1× +-commutative_binary64_3418

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 1-exp_binary64_3532 exp-1-e_binary64_3531 exp-0_binary64_3530 rem-log-exp_binary64_3529 rem-exp-log_binary64_3528 cube-unmult_binary64_3525 cube-mult_binary64_3518 cube-div_binary64_3517 cube-prod_binary64_3516 cube-neg_binary64_3515 rem-3cbrt-rft_binary64_3514 rem-3cbrt-lft_binary64_3513 rem-cbrt-cube_binary64_3512 rem-cube-cbrt_binary64_3511 sqr-abs_binary64_3503 sqr-neg_binary64_3502 rem-sqrt-square_binary64_3501 rem-square-sqrt_binary64_3500 times-frac_binary64_3494 div-sub_binary64_3493 neg-mul-1_binary64_3484 neg-sub0_binary64_3483 unsub-neg_binary64_3482 sub-neg_binary64_3481 mul-1-neg_binary64_3480 /-rgt-identity_binary64_3479 *-rgt-identity_binary64_3478 *-lft-identity_binary64_3477 remove-double-neg_binary64_3476 sub0-neg_binary64_3475 --rgt-identity_binary64_3474 +-rgt-identity_binary64_3473 +-lft-identity_binary64_3472 mul0-rgt_binary64_3471 mul0-lft_binary64_3470 div0_binary64_3469 *-inverses_binary64_3468 +-inverses_binary64_3467 lft-mult-inverse_binary64_3466 rgt-mult-inverse_binary64_3465 remove-double-div_binary64_3464 pow-sqr_binary64_3461 sqr-pow_binary64_3460 difference-of-sqr--1_binary64_3459 difference-of-sqr-1_binary64_3458 difference-of-squares_binary64_3457 unswap-sqr_binary64_3456 swap-sqr_binary64_3455 cancel-sign-sub-inv_binary64_3454 cancel-sign-sub_binary64_3453 distribute-neg-frac_binary64_3452 distribute-frac-neg_binary64_3451 distribute-neg-out_binary64_3450 distribute-neg-in_binary64_3449 distribute-rgt-neg-out_binary64_3448 distribute-lft-neg-out_binary64_3447 distribute-rgt-neg-in_binary64_3446 distribute-lft-neg-in_binary64_3445 distribute-rgt1-in_binary64_3444 distribute-lft1-in_binary64_3443 distribute-rgt-out--_binary64_3442 distribute-rgt-out_binary64_3441 distribute-lft-out--_binary64_3440 distribute-lft-out_binary64_3439 distribute-rgt-in_binary64_3438 distribute-lft-in_binary64_3437 count-2_binary64_3436 associate-/l/_binary64_3435 associate-/r/_binary64_3434 associate-/l*_binary64_3433 associate-/r*_binary64_3432 associate-*l/_binary64_3431 associate-*r/_binary64_3430 associate-*l*_binary64_3429 associate-*r*_binary64_3428 associate--r-_binary64_3427 associate--l-_binary64_3426 associate--l+_binary64_3425 associate--r+_binary64_3424 associate-+l-_binary64_3423 associate-+r-_binary64_3422 associate-+l+_binary64_3421 associate-+r+_binary64_3420 *-commutative_binary64_3419

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	26
1	9	26
2	9	26
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
25%	74.9%	0.1%	3
62.4%	37.5%	0.1%	4
68.7%	31.2%	0.1%	5
68.7%	18.7%	12.6%	6
68.7%	18.7%	12.6%	7
68.7%	12.5%	18.8%	8
68.7%	12.5%	18.8%	9
68.7%	9.4%	22%	10
68.7%	9.4%	22%	11
68.7%	7.8%	23.5%	12
68.7%	7.8%	23.5%	13
68.7%	7%	24.3%	14

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample18.0ms (0.3%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
0.0ms	19×	body	128	overflowed

Compiler

Compiled 17 to 15 computations (11.8% saved)

simplify9.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1× +-commutative_binary64_3418

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	8	13
2	8	13

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

0.8b

Counts

1 → 1

Compiler

Compiled 8 to 6 computations (25% saved)

localize11.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (exp.f64 a) (exp.f64 b))
0.7b	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

rewrite73.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

0.7b

Rules

21×	`*-un-lft-identity_binary64_3488`
12×	`times-frac_binary64_3494`
11×	`add-cube-cbrt_binary64_3523` `add-sqr-sqrt_binary64_3510`
5×	`distribute-lft-out_binary64_3439`
4×	`add-log-exp_binary64_3527` `add-cbrt-cube_binary64_3524` `associate-/r*_binary64_3432`
3×	`add-exp-log_binary64_3526` `associate-/l*_binary64_3433`
2×	`pow1_binary64_3549` `flip3-+_binary64_3491` `associate-/r/_binary64_3434` `flip-+_binary64_3462`
1×	`div-exp_binary64_3539` `cbrt-undiv_binary64_3522` `frac-2neg_binary64_3499` `clear-num_binary64_3487` `div-inv_binary64_3485` `sum-log_binary64_3579` `+-commutative_binary64_3418`

Counts

2 → 45

Calls

2 calls:

7.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
5.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

Compiler

Compiled 674 to 135 computations (80% saved)

series330.0ms (5.7%)

Error

0.4b

Counts

2 → 23

Calls

2 calls:

251.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
51.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

Compiler

Compiled 948 to 665 computations (29.9% saved)

simplify110.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

347×	`sub-neg_binary64_3481`
278×	`associate-/l*_binary64_3433`
267×	`times-frac_binary64_3494` `associate-+l+_binary64_3421`
230×	`div-sub_binary64_3493`
189×	`associate-/r*_binary64_3432`
167×	`+-commutative_binary64_3418`
166×	`distribute-neg-frac_binary64_3452` `associate-+r+_binary64_3420`
165×	`distribute-rgt-neg-in_binary64_3446`
124×	`unswap-sqr_binary64_3456`
120×	`associate-l_binary64_3429`
114×	`associate-*l/_binary64_3431` `associate--l+_binary64_3425`
113×	`distribute-rgt-in_binary64_3438`
109×	`associate--r+_binary64_3424`
104×	`associate-r_binary64_3428`
97×	`*-commutative_binary64_3419`
96×	`distribute-lft-in_binary64_3437`
83×	`associate-/r/_binary64_3434`
80×	`associate-/l/_binary64_3435`
79×	`cancel-sign-sub-inv_binary64_3454` `associate-*r/_binary64_3430`
69×	`unsub-neg_binary64_3482`
56×	`distribute-neg-in_binary64_3449`
54×	`neg-mul-1_binary64_3484` `neg-sub0_binary64_3483` `sqr-pow_binary64_3460`
43×	`associate-+l-_binary64_3423`
40×	`associate-+r-_binary64_3422`
38×	`*-rgt-identity_binary64_3478`
34×	`exp-prod_binary64_3540`
32×	`cube-prod_binary64_3516`
24×	`cube-unmult_binary64_3525`
23×	`unpow3_binary64_3554`
21×	`+-rgt-identity_binary64_3473`
18×	`distribute-rgt-out_binary64_3441`
17×	`prod-exp_binary64_3537`
16×	`exp-sum_binary64_3534`
15×	`exp-diff_binary64_3536` `*-lft-identity_binary64_3477` `distribute-lft-neg-in_binary64_3445`
14×	`pow-plus_binary64_3551`
13×	`sub0-neg_binary64_3475`
12×	`distribute-lft-out_binary64_3439`
10×	`distribute-lft-neg-out_binary64_3447`
8×	`cube-mult_binary64_3518` `difference-of-squares_binary64_3457`
7×	`cube-div_binary64_3517`
6×	`log-prod_binary64_3574` `pow-sqr_binary64_3461`
5×	`log-div_binary64_3575` `div-exp_binary64_3539` `rem-sqrt-square_binary64_3501` `associate--l-_binary64_3426`
4×	`unpow2_binary64_3553` `unpow1/2_binary64_3552` `unpow1_binary64_3546` `/-rgt-identity_binary64_3479` `distribute-rgt1-in_binary64_3444`
3×	`rec-exp_binary64_3538` `distribute-rgt-out--_binary64_3442`
2×	`log-pow_binary64_3577` `rem-log-exp_binary64_3529` `swap-sqr_binary64_3455` `cancel-sign-sub_binary64_3453` `distribute-lft1-in_binary64_3443` `count-2_binary64_3436`
1×	`exp-to-pow_binary64_3550` `1-exp_binary64_3532` `exp-1-e_binary64_3531` `rem-exp-log_binary64_3528` `cube-neg_binary64_3515` `sqr-neg_binary64_3502` `remove-double-neg_binary64_3476` `--rgt-identity_binary64_3474` `mul0-rgt_binary64_3471` `mul0-lft_binary64_3470` `div0_binary64_3469` `distribute-rgt-neg-out_binary64_3448` `distribute-lft-out--_binary64_3440` `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-rec_binary64_3576` `pow-base-0_binary64_3572` `unpow1/3_binary64_3555` `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-neg_binary64_3535` `e-exp-1_binary64_3533` `exp-0_binary64_3530` `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` `mul-1-neg_binary64_3480` `+-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` `difference-of-sqr--1_binary64_3459` `difference-of-sqr-1_binary64_3458` `distribute-frac-neg_binary64_3451` `distribute-neg-out_binary64_3450`

Counts

68 → 54

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	139	1510
1	360	1439
2	1081	1404
3	3741	1404
4	4808	1404
5	5174	1404

prune70.0ms (1.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	52	2	54
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	52	3	55

Error

0.4b

Counts

55 → 3

Compiler

Compiled 863 to 313 computations (63.7% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (exp.f64 a))
0.0b	(sqrt.f64 (exp.f64 a))
0.7b	(*.f64 (sqrt.f64 (exp.f64 a)) (/.f64 (sqrt.f64 (exp.f64 a)) (+.f64 (exp.f64 b) (exp.f64 a))))
0.8b	(/.f64 (sqrt.f64 (exp.f64 a)) (+.f64 (exp.f64 b) (exp.f64 a)))

rewrite197.0ms (3.4%)

Algorithm

1×	rewrite-expression-head

Error

0.4b

Rules

68×	`*-un-lft-identity_binary64_3488`
60×	`add-sqr-sqrt_binary64_3510`
52×	`times-frac_binary64_3494`
42×	`add-cube-cbrt_binary64_3523`
41×	`sqrt-prod_binary64_3504`
30×	`associate-r_binary64_3428`
13×	`distribute-lft-out_binary64_3439`
11×	`add-exp-log_binary64_3526` `add-cbrt-cube_binary64_3524`
8×	`pow1_binary64_3549` `sqrt-pow1_binary64_3506`
6×	`associate-/l_binary64_3433` `unswap-sqr_binary64_3456` `associate-l*_binary64_3429` `exp-prod_binary64_3540`
4×	`add-log-exp_binary64_3527` `associate-/r/_binary64_3434` `associate-/r*_binary64_3432`
2×	`div-exp_binary64_3539` `cbrt-undiv_binary64_3522` `div-inv_binary64_3485` `flip3-+_binary64_3491` `flip-+_binary64_3462` `prod-exp_binary64_3537` `cbrt-unprod_binary64_3521` `pow1/2_binary64_3568` `rem-sqrt-square_binary64_3501`
1×	`frac-2neg_binary64_3499` `clear-num_binary64_3487` `pow-prod-down_binary64_3559` `associate-r/_binary64_3430` `-commutative_binary64_3419`

Counts

4 → 136

Calls

4 calls:

20.0ms	(*.f64 (sqrt.f64 (exp.f64 a)) (/.f64 (sqrt.f64 (exp.f64 a)) (+.f64 (exp.f64 b) (exp.f64 a))))
9.0ms	(/.f64 (sqrt.f64 (exp.f64 a)) (+.f64 (exp.f64 b) (exp.f64 a)))
2.0ms	(sqrt.f64 (exp.f64 a))
2.0ms	(sqrt.f64 (exp.f64 a))

Compiler

Compiled 2429 to 392 computations (83.9% saved)

series712.0ms (12.3%)

Error

0.4b

Counts

4 → 35

Calls

4 calls:

347.0ms	(/.f64 (sqrt.f64 (exp.f64 a)) (+.f64 (exp.f64 b) (exp.f64 a)))
258.0ms	(*.f64 (sqrt.f64 (exp.f64 a)) (/.f64 (sqrt.f64 (exp.f64 a)) (+.f64 (exp.f64 b) (exp.f64 a))))
30.0ms	(sqrt.f64 (exp.f64 a))
29.0ms	(sqrt.f64 (exp.f64 a))

Compiler

Compiled 2059 to 1355 computations (34.2% saved)

simplify123.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

398×	`associate-/r*_binary64_3432`
352×	`associate--l+_binary64_3425`
327×	`associate-/l/_binary64_3435`
202×	`cancel-sign-sub-inv_binary64_3454`
197×	`associate-/r/_binary64_3434`
161×	`distribute-rgt-in_binary64_3438`
146×	`sub-neg_binary64_3481`
138×	`distribute-lft-in_binary64_3437` `associate-r_binary64_3428`
131×	`associate-/l_binary64_3433` `associate-l*_binary64_3429`
119×	`times-frac_binary64_3494`
98×	`+-commutative_binary64_3418`
83×	`*-commutative_binary64_3419`
76×	`associate-*r/_binary64_3430`
73×	`associate-*l/_binary64_3431`
70×	`distribute-neg-in_binary64_3449`
67×	`associate-+r+_binary64_3420`
63×	`associate-+l+_binary64_3421`
61×	`unswap-sqr_binary64_3456`
58×	`distribute-rgt-out_binary64_3441`
55×	`distribute-rgt-neg-in_binary64_3446`
44×	`*-rgt-identity_binary64_3478` `sqr-pow_binary64_3460` `associate--r+_binary64_3424`
43×	`distribute-lft-neg-in_binary64_3445`
40×	`distribute-neg-frac_binary64_3452`
37×	`neg-mul-1_binary64_3484` `neg-sub0_binary64_3483`
36×	`distribute-lft-out_binary64_3439`
33×	`unsub-neg_binary64_3482`
32×	`*-lft-identity_binary64_3477`
19×	`exp-prod_binary64_3540`
18×	`cube-prod_binary64_3516`
17×	`log-prod_binary64_3574`
16×	`distribute-lft-out--_binary64_3440`
14×	`/-rgt-identity_binary64_3479`
12×	`log-div_binary64_3575` `swap-sqr_binary64_3455` `distribute-rgt-out--_binary64_3442` `associate--l-_binary64_3426`
8×	`prod-exp_binary64_3537` `cube-unmult_binary64_3525` `cube-div_binary64_3517`
7×	`distribute-lft-neg-out_binary64_3447` `distribute-rgt1-in_binary64_3444`
6×	`unpow3_binary64_3554` `cube-mult_binary64_3518`
4×	`unpow2_binary64_3553` `unpow1/2_binary64_3552` `unpow1_binary64_3546` `rem-sqrt-square_binary64_3501`
3×	`log-rec_binary64_3576` `div-sub_binary64_3493` `distribute-lft1-in_binary64_3443` `count-2_binary64_3436`
2×	`rem-square-sqrt_binary64_3500` `pow-sqr_binary64_3461`
1×	`pow-plus_binary64_3551` `1-exp_binary64_3532` `exp-1-e_binary64_3531` `rem-log-exp_binary64_3529` `difference-of-squares_binary64_3457` `associate--r-_binary64_3427` `associate-+l-_binary64_3423` `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` `exp-diff_binary64_3536` `exp-neg_binary64_3535` `exp-sum_binary64_3534` `e-exp-1_binary64_3533` `exp-0_binary64_3530` `rem-exp-log_binary64_3528` `cube-neg_binary64_3515` `rem-3cbrt-rft_binary64_3514` `rem-3cbrt-lft_binary64_3513` `rem-cbrt-cube_binary64_3512` `rem-cube-cbrt_binary64_3511` `sqr-abs_binary64_3503` `sqr-neg_binary64_3502` `mul-1-neg_binary64_3480` `remove-double-neg_binary64_3476` `sub0-neg_binary64_3475` `--rgt-identity_binary64_3474` `+-rgt-identity_binary64_3473` `+-lft-identity_binary64_3472` `mul0-rgt_binary64_3471` `mul0-lft_binary64_3470` `div0_binary64_3469` `*-inverses_binary64_3468` `+-inverses_binary64_3467` `lft-mult-inverse_binary64_3466` `rgt-mult-inverse_binary64_3465` `remove-double-div_binary64_3464` `difference-of-sqr--1_binary64_3459` `difference-of-sqr-1_binary64_3458` `cancel-sign-sub_binary64_3453` `distribute-frac-neg_binary64_3451` `distribute-neg-out_binary64_3450` `distribute-rgt-neg-out_binary64_3448`

Counts

171 → 104

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	231	3943
1	596	3786
2	2224	3658
3	4972	3658

prune105.0ms (1.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	104	0	104
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	104	3	107

Error

0.4b

Counts

107 → 3

Compiler

Compiled 1600 to 588 computations (63.3% saved)

localize4.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 1 (+.f64 1 (exp.f64 b)))
0.0b	(+.f64 1 (exp.f64 b))

rewrite74.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

0.4b

Rules

21×	`*-un-lft-identity_binary64_3488`
12×	`times-frac_binary64_3494`
11×	`add-cube-cbrt_binary64_3523` `add-sqr-sqrt_binary64_3510`
6×	`add-exp-log_binary64_3526`
5×	`distribute-lft-out_binary64_3439`
4×	`add-log-exp_binary64_3527` `add-cbrt-cube_binary64_3524` `associate-/r*_binary64_3432`
3×	`pow1_binary64_3549` `associate-/l*_binary64_3433`
2×	`flip3-+_binary64_3491` `flip-+_binary64_3462` `div-exp_binary64_3539` `associate-/r/_binary64_3434`
1×	`sum-log_binary64_3579` `+-commutative_binary64_3418` `inv-pow_binary64_3573` `pow-flip_binary64_3562` `1-exp_binary64_3532` `rec-exp_binary64_3538` `cbrt-undiv_binary64_3522` `frac-2neg_binary64_3499` `clear-num_binary64_3487` `div-inv_binary64_3485`

Counts

2 → 49

Calls

2 calls:

6.0ms	(/.f64 1 (+.f64 1 (exp.f64 b)))
4.0ms	(+.f64 1 (exp.f64 b))

Compiler

Compiled 565 to 413 computations (26.9% saved)

series76.0ms (1.3%)

Error

0.4b

Counts

2 → 12

Calls

2 calls:

49.0ms	(/.f64 1 (+.f64 1 (exp.f64 b)))
17.0ms	(+.f64 1 (exp.f64 b))

Compiler

Compiled 194 to 195 computations (-0.5% saved)

simplify92.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

494×	`unswap-sqr_binary64_3456`
479×	`sub-neg_binary64_3481`
415×	`cancel-sign-sub-inv_binary64_3454`
315×	`*-commutative_binary64_3419`
301×	`times-frac_binary64_3494`
212×	`distribute-rgt-neg-in_binary64_3446`
201×	`associate-+r-_binary64_3422`
192×	`associate-l_binary64_3429`
180×	`distribute-lft-neg-in_binary64_3445`
175×	`distribute-rgt-in_binary64_3438`
154×	`associate-r_binary64_3428`
143×	`distribute-rgt-out_binary64_3441`
134×	`associate-/l*_binary64_3433`
122×	`associate--r+_binary64_3424`
119×	`associate-+l+_binary64_3421`
117×	`sqr-pow_binary64_3460`
115×	`neg-mul-1_binary64_3484`
108×	`neg-sub0_binary64_3483`
105×	`associate-+r+_binary64_3420`
103×	`associate--l+_binary64_3425`
101×	`associate-+l-_binary64_3423`
99×	`distribute-neg-in_binary64_3449`
78×	`distribute-lft-out_binary64_3439`
72×	`associate-/r*_binary64_3432`
71×	`div-sub_binary64_3493` `distribute-lft-in_binary64_3437`
67×	`exp-prod_binary64_3540`
66×	`*-rgt-identity_binary64_3478`
62×	`+-commutative_binary64_3418`
58×	`associate--l-_binary64_3426`
54×	`unsub-neg_binary64_3482`
51×	`associate-*l/_binary64_3431`
50×	`associate-/l/_binary64_3435`
46×	`associate--r-_binary64_3427`
44×	`associate-/r/_binary64_3434`
34×	`pow-sqr_binary64_3461`
32×	`cube-prod_binary64_3516` `distribute-rgt1-in_binary64_3444`
31×	`distribute-lft-neg-out_binary64_3447`
27×	`associate-*r/_binary64_3430`
24×	`sub0-neg_binary64_3475`
23×	`*-lft-identity_binary64_3477`
21×	`remove-double-neg_binary64_3476`
20×	`pow-plus_binary64_3551`
18×	`distribute-rgt-out--_binary64_3442`
17×	`cube-unmult_binary64_3525` `distribute-lft1-in_binary64_3443`
15×	`--rgt-identity_binary64_3474`
14×	`+-rgt-identity_binary64_3473`
12×	`/-rgt-identity_binary64_3479` `difference-of-squares_binary64_3457`
11×	`distribute-rgt-neg-out_binary64_3448`
10×	`+-lft-identity_binary64_3472`
9×	`rem-sqrt-square_binary64_3501`
8×	`unpow3_binary64_3554`
7×	`exp-sum_binary64_3534` `cube-div_binary64_3517` `distribute-lft-out--_binary64_3440`
6×	`swap-sqr_binary64_3455`
5×	`prod-exp_binary64_3537`
4×	`log-div_binary64_3575` `unpow1/2_binary64_3552` `div-exp_binary64_3539` `exp-diff_binary64_3536` `cube-mult_binary64_3518` `difference-of-sqr--1_binary64_3459` `count-2_binary64_3436`
3×	`rec-exp_binary64_3538` `mul0-rgt_binary64_3471` `mul0-lft_binary64_3470` `remove-double-div_binary64_3464` `difference-of-sqr-1_binary64_3458`
2×	`log-rec_binary64_3576` `log-prod_binary64_3574` `unpow1_binary64_3546` `exp-lft-sqr_binary64_3543` `mul-1-neg_binary64_3480` `+-inverses_binary64_3467` `distribute-neg-out_binary64_3450`
1×	`unpow2_binary64_3553` `exp-lft-cube_binary64_3544` `exp-neg_binary64_3535` `1-exp_binary64_3532` `exp-1-e_binary64_3531` `cube-neg_binary64_3515` `sqr-neg_binary64_3502` `distribute-neg-frac_binary64_3452`
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-cbrt_binary64_3542` `exp-sqrt_binary64_3541` `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` `div0_binary64_3469` `*-inverses_binary64_3468` `lft-mult-inverse_binary64_3466` `rgt-mult-inverse_binary64_3465` `cancel-sign-sub_binary64_3453` `distribute-frac-neg_binary64_3451`

Counts

61 → 49

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	86	785
1	194	732
2	405	729
3	775	729
4	1945	729
5	3755	729
6	5289	729

prune50.0ms (0.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	48	1	49
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	49	3	52

Error

0.4b

Counts

52 → 3

Compiler

Compiled 452 to 338 computations (25.2% saved)

localize7.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (exp.f64 b) 1)
0.0b	(sqrt.f64 (/.f64 1 (+.f64 (exp.f64 b) 1)))
0.0b	(sqrt.f64 (/.f64 1 (+.f64 (exp.f64 b) 1)))
0.5b	(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (exp.f64 b) 1))) (sqrt.f64 (/.f64 1 (+.f64 (exp.f64 b) 1))))

rewrite469.0ms (8.1%)

Algorithm

1×	rewrite-expression-head

Error

0.4b

Rules

150×	`sqrt-prod_binary64_3504`
130×	`*-un-lft-identity_binary64_3488`
120×	`add-sqr-sqrt_binary64_3510`
108×	`times-frac_binary64_3494`
60×	`add-cube-cbrt_binary64_3523`
31×	`pow1_binary64_3549` `swap-sqr_binary64_3455`
30×	`sqrt-pow1_binary64_3506`
25×	`distribute-lft-out_binary64_3439`
21×	`associate-l_binary64_3429` `associate-r_binary64_3428`
16×	`unswap-sqr_binary64_3456`
12×	`rem-sqrt-square_binary64_3501` `associate-/r/_binary64_3434`
10×	`pow1/2_binary64_3568` `inv-pow_binary64_3573` `pow-flip_binary64_3562`
9×	`pow-prod-up_binary64_3558`
8×	`div-inv_binary64_3485`
7×	`flip3-+_binary64_3491` `flip-+_binary64_3462`
6×	`add-exp-log_binary64_3526` `add-log-exp_binary64_3527` `add-cbrt-cube_binary64_3524` `sqrt-div_binary64_3505`
5×	`pow-prod-down_binary64_3559` `pow-sqr_binary64_3461`
3×	`sqr-abs_binary64_3503`
1×	`pow2_binary64_3569` `pow-plus_binary64_3551` `prod-exp_binary64_3537` `cbrt-unprod_binary64_3521` `sqrt-unprod_binary64_3508` `rem-square-sqrt_binary64_3500` `frac-times_binary64_3498` `associate-l/_binary64_3431` `associate-r/_binary64_3430` `*-commutative_binary64_3419` `sum-log_binary64_3579` `+-commutative_binary64_3418`

Counts

4 → 206

Calls

4 calls:

34.0ms	(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (exp.f64 b) 1))) (sqrt.f64 (/.f64 1 (+.f64 (exp.f64 b) 1))))
7.0ms	(sqrt.f64 (/.f64 1 (+.f64 (exp.f64 b) 1)))
7.0ms	(sqrt.f64 (/.f64 1 (+.f64 (exp.f64 b) 1)))
4.0ms	(+.f64 (exp.f64 b) 1)

Compiler

Compiled 3863 to 2953 computations (23.6% saved)

series259.0ms (4.5%)

Error

0.4b

Counts

4 → 24

Calls

4 calls:

85.0ms	(sqrt.f64 (/.f64 1 (+.f64 (exp.f64 b) 1)))
79.0ms	(sqrt.f64 (/.f64 1 (+.f64 (exp.f64 b) 1)))
52.0ms	(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (exp.f64 b) 1))) (sqrt.f64 (/.f64 1 (+.f64 (exp.f64 b) 1))))
20.0ms	(+.f64 (exp.f64 b) 1)

Compiler

Compiled 849 to 782 computations (7.9% saved)

simplify235.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

552×	`cancel-sign-sub-inv_binary64_3454`
292×	`associate-l_binary64_3429`
246×	`associate-r_binary64_3428`
239×	`associate-/l/_binary64_3435`
221×	`times-frac_binary64_3494`
201×	`associate-/r/_binary64_3434`
192×	`sub-neg_binary64_3481`
168×	`neg-mul-1_binary64_3484`
161×	`neg-sub0_binary64_3483`
153×	`*-commutative_binary64_3419`
130×	`unswap-sqr_binary64_3456`
128×	`distribute-rgt-in_binary64_3438`
121×	`div-sub_binary64_3493`
119×	`associate-/l*_binary64_3433`
108×	`distribute-rgt-neg-in_binary64_3446`
105×	`distribute-neg-frac_binary64_3452`
103×	`exp-prod_binary64_3540`
100×	`distribute-lft-neg-in_binary64_3445`
94×	`distribute-rgt-out_binary64_3441`
91×	`log-prod_binary64_3574`
80×	`*-lft-identity_binary64_3477`
78×	`distribute-lft-in_binary64_3437`
74×	`cube-prod_binary64_3516`
70×	`sqr-pow_binary64_3460`
69×	`associate-/r*_binary64_3432`
67×	`*-rgt-identity_binary64_3478`
59×	`associate-+l+_binary64_3421`
57×	`+-commutative_binary64_3418`
50×	`swap-sqr_binary64_3455` `associate-*l/_binary64_3431`
46×	`rem-sqrt-square_binary64_3501`
44×	`unsub-neg_binary64_3482` `associate--r+_binary64_3424`
41×	`pow-sqr_binary64_3461` `distribute-lft-out_binary64_3439`
40×	`associate-+r+_binary64_3420`
39×	`associate-*r/_binary64_3430`
37×	`unpow3_binary64_3554` `pow-plus_binary64_3551`
26×	`associate--l+_binary64_3425`
24×	`associate-+l-_binary64_3423`
23×	`cube-unmult_binary64_3525`
22×	`log-div_binary64_3575`
20×	`cube-mult_binary64_3518` `/-rgt-identity_binary64_3479`
19×	`rem-square-sqrt_binary64_3500` `distribute-neg-in_binary64_3449`
18×	`remove-double-neg_binary64_3476`
17×	`associate-+r-_binary64_3422`
16×	`cube-div_binary64_3517`
14×	`log-pow_binary64_3577`
13×	`distribute-rgt-out--_binary64_3442`
11×	`sub0-neg_binary64_3475` `+-rgt-identity_binary64_3473` `distribute-rgt1-in_binary64_3444`
7×	`distribute-lft1-in_binary64_3443` `count-2_binary64_3436`
5×	`log-rec_binary64_3576` `unpow1/2_binary64_3552` `distribute-lft-out--_binary64_3440`
4×	`unpow2_binary64_3553` `prod-exp_binary64_3537`
3×	`remove-double-div_binary64_3464` `distribute-lft-neg-out_binary64_3447`
2×	`sqr-neg_binary64_3502` `mul-1-neg_binary64_3480` `div0_binary64_3469` `associate--l-_binary64_3426`
1×	`unpow1_binary64_3546` `exp-diff_binary64_3536` `exp-sum_binary64_3534` `1-exp_binary64_3532` `exp-1-e_binary64_3531` `cube-neg_binary64_3515` `rem-3cbrt-rft_binary64_3514` `rem-3cbrt-lft_binary64_3513` `rem-cbrt-cube_binary64_3512` `+-lft-identity_binary64_3472` `difference-of-sqr-1_binary64_3458` `distribute-neg-out_binary64_3450`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_3751` `erf-erfc_binary64_3750` `erf-odd_binary64_3749` `if-if-and-not_binary64_3748` `if-if-and_binary64_3747` `if-if-or-not_binary64_3746` `if-if-or_binary64_3745` `if-not_binary64_3744` `if-same_binary64_3743` `if-false_binary64_3742` `if-true_binary64_3741` `not-gte_binary64_3740` `not-lte_binary64_3739` `not-gt_binary64_3738` `not-lt_binary64_3737` `gte-same_binary64_3736` `lte-same_binary64_3735` `gt-same_binary64_3734` `lt-same_binary64_3733` `sinh---cosh_binary64_3680` `sinh-+-cosh_binary64_3679` `sinh-cosh_binary64_3678` `tanh-def-c_binary64_3677` `tanh-def-b_binary64_3676` `tanh-def-a_binary64_3675` `cosh-def_binary64_3674` `sinh-def_binary64_3673` `tan-neg_binary64_3620` `cos-neg_binary64_3619` `sin-neg_binary64_3618` `tan-0_binary64_3617` `cos-0_binary64_3616` `sin-0_binary64_3615` `hang-m-tan_binary64_3614` `hang-p-tan_binary64_3613` `hang-m0-tan_binary64_3612` `hang-p0-tan_binary64_3611` `hang-0m-tan_binary64_3610` `hang-0p-tan_binary64_3609` `tan-+PI/2_binary64_3608` `tan-+PI_binary64_3607` `tan-PI_binary64_3606` `tan-PI/3_binary64_3605` `tan-PI/4_binary64_3604` `tan-PI/6_binary64_3603` `cos-+PI/2_binary64_3602` `cos-+PI_binary64_3601` `cos-PI_binary64_3600` `cos-PI/2_binary64_3599` `cos-PI/3_binary64_3598` `cos-PI/4_binary64_3597` `cos-PI/6_binary64_3596` `sin-+PI/2_binary64_3595` `sin-+PI_binary64_3594` `sin-PI_binary64_3593` `sin-PI/2_binary64_3592` `sin-PI/3_binary64_3591` `sin-PI/4_binary64_3590` `sin-PI/6_binary64_3589` `sub-1-sin_binary64_3588` `sub-1-cos_binary64_3587` `-1-add-sin_binary64_3586` `-1-add-cos_binary64_3585` `1-sub-sin_binary64_3584` `1-sub-cos_binary64_3583` `cos-sin-sum_binary64_3582` `log-E_binary64_3578` `pow-base-0_binary64_3572` `unpow1/3_binary64_3555` `exp-to-pow_binary64_3550` `pow-base-1_binary64_3548` `unpow0_binary64_3547` `unpow-1_binary64_3545` `exp-lft-cube_binary64_3544` `exp-lft-sqr_binary64_3543` `exp-cbrt_binary64_3542` `exp-sqrt_binary64_3541` `div-exp_binary64_3539` `rec-exp_binary64_3538` `exp-neg_binary64_3535` `e-exp-1_binary64_3533` `exp-0_binary64_3530` `rem-log-exp_binary64_3529` `rem-exp-log_binary64_3528` `rem-cube-cbrt_binary64_3511` `sqr-abs_binary64_3503` `--rgt-identity_binary64_3474` `mul0-rgt_binary64_3471` `mul0-lft_binary64_3470` `*-inverses_binary64_3468` `+-inverses_binary64_3467` `lft-mult-inverse_binary64_3466` `rgt-mult-inverse_binary64_3465` `difference-of-sqr--1_binary64_3459` `difference-of-squares_binary64_3457` `cancel-sign-sub_binary64_3453` `distribute-frac-neg_binary64_3451` `distribute-rgt-neg-out_binary64_3448` `associate--r-_binary64_3427`

Counts

230 → 199

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	176	4015
1	341	3810
2	959	3788
3	2514	3693
4	4383	3693
5	4831	3693
6	4966	3693

prune199.0ms (3.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	197	2	199
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	198	4	202

Error

0.4b

Counts

202 → 4

Compiler

Compiled 2164 to 1658 computations (23.4% saved)

regimes1.6s (28.5%)

Accuracy

Total 0.6b remaining (98.2%)

Threshold costs 0.6b (98.2%)

Compiler

Compiled 16601 to 15370 computations (7.4% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`+-commutative_binary64_3418`
2×	`sub-neg_binary64_3481`
1×	`neg-mul-1_binary64_3484` `neg-sub0_binary64_3483` `*-commutative_binary64_3419`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `if-if-and-not_binary64_3748` `if-if-and_binary64_3747` `if-if-or-not_binary64_3746` `if-if-or_binary64_3745` `if-not_binary64_3744` `if-same_binary64_3743` `if-false_binary64_3742` `if-true_binary64_3741` `tan-0_binary64_3617` `cos-0_binary64_3616` `sin-0_binary64_3615` `unpow1_binary64_3546` `e-exp-1_binary64_3533` `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-inv_binary64_3454` `cancel-sign-sub_binary64_3453` `distribute-neg-frac_binary64_3452` `distribute-frac-neg_binary64_3451` `distribute-neg-out_binary64_3450` `distribute-neg-in_binary64_3449` `distribute-rgt-neg-out_binary64_3448` `distribute-lft-neg-out_binary64_3447` `distribute-rgt-neg-in_binary64_3446` `distribute-lft-neg-in_binary64_3445`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	15
1	12	15
2	17	15
3	19	15
4	20	15
5	20	15

end1.0ms (0%)

Compiler: Compiled 9 to 8 computations (11.1% saved)

sample671.0ms (11.6%)

Algorithm

1×

intervals

Results

250.0ms	8000×	body	128	valid
17.0ms	707×	body	128	overflowed

Compiler

Compiled 97 to 91 computations (6.2% saved)

Details

analyze221.0ms (3.8%)

sample18.0ms (0.3%)

simplify9.0ms (0.2%)

prune2.0ms (0%)

localize11.0ms (0.2%)

rewrite73.0ms (1.3%)

series330.0ms (5.7%)

simplify110.0ms (1.9%)

prune70.0ms (1.2%)

localize8.0ms (0.1%)

rewrite197.0ms (3.4%)

series712.0ms (12.3%)

simplify123.0ms (2.1%)

prune105.0ms (1.8%)

localize4.0ms (0.1%)

rewrite74.0ms (1.3%)

series76.0ms (1.3%)

simplify92.0ms (1.6%)

prune50.0ms (0.9%)

localize7.0ms (0.1%)

rewrite469.0ms (8.1%)

series259.0ms (4.5%)

simplify235.0ms (4.1%)

prune199.0ms (3.5%)

regimes1.6s (28.5%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end1.0ms (0%)

sample671.0ms (11.6%)

Profiling