Details

Time bar (total: 13.3s)

analyze1.8s (13.2%)

Algorithm
search
egg-herbie
Rules
912×unswap-sqr_binary64
752×sqr-pow_binary64
360×cube-prod_binary64
336×unpow3_binary64
320×cube-mult_binary64
257×*-commutative_binary64
208×pow-sqr_binary64
200×associate-*l*_binary64
192×pow-plus_binary64
168×associate-*r*_binary64
120×rem-sqrt-square_binary64
40×unpow2_binary64 unpow1/2_binary64 unpow1_binary64 cube-unmult_binary64
16×swap-sqr_binary64
associate-/l*_binary64
+-commutative_binary64
associate-/r/_binary64 associate-*l/_binary64 associate-*r/_binary64
1-exp_binary64
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 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 log-pow_binary64 log-rec_binary64 log-div_binary64 log-prod_binary64 pow-base-0_binary64 unpow1/3_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 exp-prod_binary64 div-exp_binary64 rec-exp_binary64 prod-exp_binary64 exp-diff_binary64 exp-neg_binary64 exp-sum_binary64 e-exp-1_binary64 exp-1-e_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-div_binary64 cube-neg_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 sqr-neg_binary64 rem-square-sqrt_binary64 times-frac_binary64 div-sub_binary64 neg-mul-1_binary64 neg-sub0_binary64 unsub-neg_binary64 sub-neg_binary64 mul-1-neg_binary64 /-rgt-identity_binary64 *-rgt-identity_binary64 *-lft-identity_binary64 remove-double-neg_binary64 sub0-neg_binary64 --rgt-identity_binary64 +-rgt-identity_binary64 +-lft-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64 div0_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 difference-of-squares_binary64 cancel-sign-sub-inv_binary64 cancel-sign-sub_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-neg-in_binary64 distribute-rgt-neg-out_binary64 distribute-lft-neg-out_binary64 distribute-rgt-neg-in_binary64 distribute-lft-neg-in_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 distribute-rgt-out--_binary64 distribute-rgt-out_binary64 distribute-lft-out--_binary64 distribute-lft-out_binary64 distribute-rgt-in_binary64 distribute-lft-in_binary64 count-2_binary64 associate-/l/_binary64 associate-/r*_binary64 associate--r-_binary64 associate--l-_binary64 associate--l+_binary64 associate--r+_binary64 associate-+l-_binary64 associate-+r-_binary64 associate-+l+_binary64 associate-+r+_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039136
186136
2195136
3357136
4695136
5868136
61296136
72649136
82812136
93009136
103411136
114084136
124396136
134716136
144940136
154958136
033
133
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
25%74.9%0.1%6
25%74.9%0.1%7
31.2%68.6%0.1%8
31.2%56.2%12.6%9
34.3%53%12.6%10
37.4%49.9%12.6%11
46.8%40.6%12.6%12
47.8%39.6%12.6%13
49.7%37.1%13.2%14
Compiler

Compiled 22 to 20 computations (9.1% saved)

sample166.0ms (1.2%)

Algorithm
intervals
Results
49.0ms55×body1024valid
28.0ms32×body1024invalid
24.0ms160×body128valid
17.0ms28×body512invalid
13.0ms23×body512valid
6.0ms16×body256invalid
5.0ms15×body256valid
4.0msbody2048valid
2.0ms19×body128invalid
Compiler

Compiled 43 to 42 computations (2.3% saved)

simplify145.0ms (1.1%)

Algorithm
egg-herbie
Rules
1308×sqr-pow_binary64
632×pow-sqr_binary64
484×unswap-sqr_binary64
332×cube-prod_binary64
271×*-commutative_binary64
238×unpow3_binary64 cube-mult_binary64
186×associate-*l*_binary64
120×associate-*r*_binary64
84×pow-plus_binary64
42×rem-sqrt-square_binary64
14×unpow2_binary64 unpow1/2_binary64 unpow1_binary64
10×cube-unmult_binary64
swap-sqr_binary64
associate-/l*_binary64
1-exp_binary64 associate-/r/_binary64 associate-*l/_binary64 associate-*r/_binary64 +-commutative_binary64
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 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 log-pow_binary64 log-rec_binary64 log-div_binary64 log-prod_binary64 pow-base-0_binary64 unpow1/3_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 exp-prod_binary64 div-exp_binary64 rec-exp_binary64 prod-exp_binary64 exp-diff_binary64 exp-neg_binary64 exp-sum_binary64 e-exp-1_binary64 exp-1-e_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-div_binary64 cube-neg_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 sqr-neg_binary64 rem-square-sqrt_binary64 times-frac_binary64 div-sub_binary64 neg-mul-1_binary64 neg-sub0_binary64 unsub-neg_binary64 sub-neg_binary64 mul-1-neg_binary64 /-rgt-identity_binary64 *-rgt-identity_binary64 *-lft-identity_binary64 remove-double-neg_binary64 sub0-neg_binary64 --rgt-identity_binary64 +-rgt-identity_binary64 +-lft-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64 div0_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 difference-of-squares_binary64 cancel-sign-sub-inv_binary64 cancel-sign-sub_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-neg-in_binary64 distribute-rgt-neg-out_binary64 distribute-lft-neg-out_binary64 distribute-rgt-neg-in_binary64 distribute-lft-neg-in_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 distribute-rgt-out--_binary64 distribute-rgt-out_binary64 distribute-lft-out--_binary64 distribute-lft-out_binary64 distribute-rgt-in_binary64 distribute-lft-in_binary64 count-2_binary64 associate-/l/_binary64 associate-/r*_binary64 associate--r-_binary64 associate--l-_binary64 associate--l+_binary64 associate--r+_binary64 associate-+l-_binary64 associate-+r-_binary64 associate-+l+_binary64 associate-+r+_binary64
Counts
1 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01634
13034
26434
310834
419834
543534
661534
7106834
8108334
9125534
10145634
11177834
12219834
13271234
14336034
15357234
16370234
17373434
18373834
19373834
20455734
21525234

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done000
Total011
Error
21.6b
Counts
1 → 1
Compiler

Compiled 21 to 19 computations (9.5% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.4b
(*.f64 (/.f64 angle 180) PI.f64)
0.4b
(*.f64 (/.f64 angle 180) PI.f64)
26.2b
(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
26.2b
(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))

rewrite192.0ms (1.4%)

Algorithm
rewrite-expression-head
Error
20.5b
Rules
30×add-sqr-sqrt_binary64
26×associate-*l*_binary64
20×add-cube-cbrt_binary64 *-un-lft-identity_binary64 times-frac_binary64
14×add-exp-log_binary64 add-cbrt-cube_binary64
pow1_binary64
associate-*r*_binary64
add-log-exp_binary64 prod-exp_binary64 cbrt-unprod_binary64 unswap-sqr_binary64
pow-prod-down_binary64 div-exp_binary64 cbrt-undiv_binary64 associate-*l/_binary64 div-inv_binary64 *-commutative_binary64
Counts
4 → 78
Calls

4 calls:

6.0ms
(*.f64 (/.f64 angle 180) PI.f64)
6.0ms
(*.f64 (/.f64 angle 180) PI.f64)
2.0ms
(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
2.0ms
(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
Compiler

Compiled 2070 to 1469 computations (29% saved)

series63.0ms (0.5%)

Error
20.7b
Counts
4 → 18
Calls

4 calls:

13.0ms
(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
12.0ms
(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
11.0ms
(*.f64 (/.f64 angle 180) PI.f64)
9.0ms
(*.f64 (/.f64 angle 180) PI.f64)
Compiler

Compiled 990 to 841 computations (15.1% saved)

simplify126.0ms (0.9%)

Algorithm
egg-herbie
Rules
633×distribute-rgt-neg-in_binary64
611×distribute-lft-neg-in_binary64
594×associate-*l*_binary64
589×associate-*r*_binary64
164×*-commutative_binary64
152×associate-*l/_binary64
145×cancel-sign-sub-inv_binary64
125×associate-/l*_binary64
110×associate-*r/_binary64
103×swap-sqr_binary64
97×sub-neg_binary64
77×unswap-sqr_binary64
73×distribute-rgt-out--_binary64
68×sqr-pow_binary64
63×neg-mul-1_binary64 neg-sub0_binary64
60×times-frac_binary64
51×log-prod_binary64
31×log-div_binary64
28×+-commutative_binary64
26×unpow3_binary64
24×associate-/r*_binary64
23×cube-prod_binary64 associate--l+_binary64
22×associate-+l-_binary64
19×associate-+l+_binary64
18×cube-unmult_binary64
17×exp-prod_binary64 unsub-neg_binary64 associate-+r+_binary64
16×distribute-lft-neg-out_binary64
15×cube-div_binary64 associate-/r/_binary64 associate-+r-_binary64
13×*-rgt-identity_binary64 associate--r+_binary64
11×*-lft-identity_binary64
+-rgt-identity_binary64
log-pow_binary64 pow-plus_binary64 sub0-neg_binary64
/-rgt-identity_binary64 associate-/l/_binary64
pow-sqr_binary64 distribute-neg-in_binary64 distribute-rgt-neg-out_binary64
unpow1/2_binary64 cube-mult_binary64 distribute-rgt-in_binary64
log-rec_binary64
unpow2_binary64 unpow1_binary64 rem-sqrt-square_binary64 cancel-sign-sub_binary64
1-exp_binary64 exp-1-e_binary64 remove-double-neg_binary64 distribute-rgt-out_binary64
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 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 pow-base-0_binary64 unpow1/3_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 div-exp_binary64 rec-exp_binary64 prod-exp_binary64 exp-diff_binary64 exp-neg_binary64 exp-sum_binary64 e-exp-1_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-neg_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 sqr-neg_binary64 rem-square-sqrt_binary64 div-sub_binary64 mul-1-neg_binary64 --rgt-identity_binary64 +-lft-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64 div0_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 difference-of-squares_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 distribute-lft-out--_binary64 distribute-lft-out_binary64 distribute-lft-in_binary64 count-2_binary64 associate--r-_binary64 associate--l-_binary64
Counts
96 → 66
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01351350
13011212
28191212
330651203
449481203
549961203
649221203

prune151.0ms (1.1%)

Pruning

24 alts after pruning (24 fresh and 0 done)

PrunedKeptTotal
New422466
Fresh000
Picked101
Done000
Total432467
Error
20.6b
Counts
67 → 24
Compiler

Compiled 2357 to 1803 computations (23.5% saved)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b
(pow.f64 (*.f64 a (sin.f64 (*.f64 angle (*.f64 1/180 PI.f64)))) 2)
0.4b
(*.f64 (/.f64 angle 180) PI.f64)
26.2b
(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
26.6b
(sin.f64 (*.f64 angle (*.f64 1/180 PI.f64)))

rewrite246.0ms (1.8%)

Algorithm
rewrite-expression-head
Error
20.6b
Rules
18×add-sqr-sqrt_binary64
13×add-cube-cbrt_binary64 *-un-lft-identity_binary64 associate-*l*_binary64
12×add-exp-log_binary64
10×times-frac_binary64
pow1_binary64 add-cbrt-cube_binary64
add-log-exp_binary64
prod-exp_binary64 associate-*r*_binary64 pow-unpow_binary64
pow-prod-down_binary64 cbrt-unprod_binary64 unswap-sqr_binary64 pow-pow_binary64 pow-exp_binary64
div-exp_binary64 cbrt-undiv_binary64 associate-*l/_binary64 div-inv_binary64 *-commutative_binary64 unpow-prod-down_binary64 pow-to-exp_binary64 unpow2_binary64 sqr-pow_binary64
Counts
4 → 64
Calls

4 calls:

6.0ms
(*.f64 (/.f64 angle 180) PI.f64)
4.0ms
(pow.f64 (*.f64 a (sin.f64 (*.f64 angle (*.f64 1/180 PI.f64)))) 2)
2.0ms
(sin.f64 (*.f64 angle (*.f64 1/180 PI.f64)))
2.0ms
(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
Compiler

Compiled 1680 to 1219 computations (27.4% saved)

series123.0ms (0.9%)

Error
20.2b
Counts
4 → 24
Calls

4 calls:

42.0ms
(pow.f64 (*.f64 a (sin.f64 (*.f64 angle (*.f64 1/180 PI.f64)))) 2)
15.0ms
(sin.f64 (*.f64 angle (*.f64 1/180 PI.f64)))
12.0ms
(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
9.0ms
(*.f64 (/.f64 angle 180) PI.f64)
Compiler

Compiled 1477 to 1245 computations (15.7% saved)

simplify101.0ms (0.8%)

Algorithm
egg-herbie
Rules
588×cancel-sign-sub-inv_binary64
414×distribute-rgt-neg-in_binary64
398×distribute-lft-neg-in_binary64
396×*-commutative_binary64
256×associate-/l/_binary64
201×unswap-sqr_binary64
154×associate-*r*_binary64
152×associate-*l/_binary64
145×sub-neg_binary64
131×sqr-pow_binary64
129×associate-*l*_binary64
126×associate-/l*_binary64
113×associate-*r/_binary64
101×neg-mul-1_binary64 neg-sub0_binary64
89×log-prod_binary64
60×swap-sqr_binary64
59×exp-prod_binary64
56×cube-prod_binary64
43×+-commutative_binary64
42×unpow3_binary64
40×distribute-rgt-in_binary64
34×log-div_binary64 associate--l+_binary64
31×associate-+l-_binary64
29×associate-+l+_binary64
26×distribute-lft-in_binary64 associate-+r+_binary64
24×times-frac_binary64 distribute-lft-out--_binary64 associate-/r*_binary64
23×log-pow_binary64 associate-+r-_binary64
22×unsub-neg_binary64 pow-sqr_binary64
19×associate--r+_binary64
18×*-rgt-identity_binary64
17×cube-div_binary64
16×pow-plus_binary64 cube-unmult_binary64 *-lft-identity_binary64 associate-/r/_binary64
15×distribute-rgt-out--_binary64
14×+-rgt-identity_binary64 distribute-rgt-out_binary64 distribute-lft-out_binary64
13×cube-mult_binary64
12×sub0-neg_binary64
rem-sqrt-square_binary64 distribute-neg-in_binary64
/-rgt-identity_binary64 count-2_binary64
unpow2_binary64 unpow1/2_binary64 unpow1_binary64 distribute-lft-neg-out_binary64
log-rec_binary64
1-exp_binary64 exp-1-e_binary64 remove-double-neg_binary64
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 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 pow-base-0_binary64 unpow1/3_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 div-exp_binary64 rec-exp_binary64 prod-exp_binary64 exp-diff_binary64 exp-neg_binary64 exp-sum_binary64 e-exp-1_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-neg_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 sqr-neg_binary64 rem-square-sqrt_binary64 div-sub_binary64 mul-1-neg_binary64 --rgt-identity_binary64 +-lft-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64 div0_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 difference-of-squares_binary64 cancel-sign-sub_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-rgt-neg-out_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 associate--r-_binary64 associate--l-_binary64
Counts
88 → 65
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01871542
14281425
212261401
328611377
449391377
549241377

prune196.0ms (1.5%)

Pruning

27 alts after pruning (27 fresh and 0 done)

PrunedKeptTotal
New57865
Fresh41923
Picked101
Done000
Total622789
Error
20.6b
Counts
89 → 27
Compiler

Compiled 2321 to 1765 computations (24% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b
(pow.f64 (*.f64 b (cos.f64 (*.f64 angle (*.f64 1/180 PI.f64)))) 2)
0.3b
(pow.f64 (*.f64 a (sin.f64 (*.f64 angle (*.f64 1/180 PI.f64)))) 2)
26.5b
(cos.f64 (*.f64 angle (*.f64 1/180 PI.f64)))
26.6b
(sin.f64 (*.f64 angle (*.f64 1/180 PI.f64)))

rewrite198.0ms (1.5%)

Algorithm
rewrite-expression-head
Error
20.6b
Rules
10×pow1_binary64 add-exp-log_binary64
add-cube-cbrt_binary64 add-sqr-sqrt_binary64 *-un-lft-identity_binary64 pow-unpow_binary64
add-log-exp_binary64 add-cbrt-cube_binary64 pow-pow_binary64 pow-exp_binary64
unpow-prod-down_binary64 pow-prod-down_binary64 pow-to-exp_binary64 prod-exp_binary64 unpow2_binary64 sqr-pow_binary64
Counts
4 → 50
Calls

4 calls:

4.0ms
(pow.f64 (*.f64 a (sin.f64 (*.f64 angle (*.f64 1/180 PI.f64)))) 2)
4.0ms
(pow.f64 (*.f64 b (cos.f64 (*.f64 angle (*.f64 1/180 PI.f64)))) 2)
2.0ms
(cos.f64 (*.f64 angle (*.f64 1/180 PI.f64)))
2.0ms
(sin.f64 (*.f64 angle (*.f64 1/180 PI.f64)))
Compiler

Compiled 1290 to 956 computations (25.9% saved)

series191.0ms (1.4%)

Error
20.2b
Counts
4 → 30
Calls

4 calls:

41.0ms
(pow.f64 (*.f64 b (cos.f64 (*.f64 angle (*.f64 1/180 PI.f64)))) 2)
41.0ms
(pow.f64 (*.f64 a (sin.f64 (*.f64 angle (*.f64 1/180 PI.f64)))) 2)
14.0ms
(cos.f64 (*.f64 angle (*.f64 1/180 PI.f64)))
13.0ms
(sin.f64 (*.f64 angle (*.f64 1/180 PI.f64)))
Compiler

Compiled 1884 to 1585 computations (15.9% saved)

simplify104.0ms (0.8%)

Algorithm
egg-herbie
Rules
572×distribute-rgt-neg-in_binary64
557×distribute-lft-neg-in_binary64
457×*-commutative_binary64
362×cancel-sign-sub-inv_binary64
292×unswap-sqr_binary64
181×sub-neg_binary64
173×associate-*r*_binary64
170×sqr-pow_binary64
132×neg-mul-1_binary64 neg-sub0_binary64
124×log-prod_binary64 associate-*l*_binary64
122×exp-prod_binary64
82×cube-prod_binary64
66×swap-sqr_binary64
62×distribute-rgt-in_binary64
56×unpow3_binary64
53×+-commutative_binary64
48×distribute-rgt-out_binary64
46×cube-mult_binary64
44×associate--l+_binary64
42×distribute-lft-out--_binary64
40×distribute-rgt-out--_binary64
36×associate-+l-_binary64
34×log-pow_binary64 pow-sqr_binary64
32×associate-+l+_binary64
30×associate-+r+_binary64
28×pow-plus_binary64 associate-+r-_binary64
24×associate--r+_binary64
23×unsub-neg_binary64
19×distribute-lft-out_binary64
18×cube-unmult_binary64
17×+-rgt-identity_binary64
16×sub0-neg_binary64
14×rem-sqrt-square_binary64
10×unpow2_binary64 unpow1_binary64
unpow1/2_binary64 distribute-neg-in_binary64 distribute-lft-neg-out_binary64 distribute-lft-in_binary64
*-rgt-identity_binary64 cancel-sign-sub_binary64
distribute-rgt1-in_binary64
associate-/l/_binary64 associate-*r/_binary64
*-lft-identity_binary64 count-2_binary64
exp-sum_binary64 1-exp_binary64 associate-/r/_binary64 associate-/l*_binary64
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 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 log-rec_binary64 log-div_binary64 pow-base-0_binary64 unpow1/3_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 div-exp_binary64 rec-exp_binary64 prod-exp_binary64 exp-diff_binary64 exp-neg_binary64 e-exp-1_binary64 exp-1-e_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-div_binary64 cube-neg_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 sqr-neg_binary64 rem-square-sqrt_binary64 times-frac_binary64 div-sub_binary64 mul-1-neg_binary64 /-rgt-identity_binary64 remove-double-neg_binary64 --rgt-identity_binary64 +-lft-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64 div0_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 difference-of-squares_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-rgt-neg-out_binary64 distribute-lft1-in_binary64 associate-/r*_binary64 associate-*l/_binary64 associate--r-_binary64 associate--l-_binary64
Counts
80 → 62
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01671670
13941574
212041532
328621508
448651508
549421508

prune196.0ms (1.5%)

Pruning

31 alts after pruning (30 fresh and 1 done)

PrunedKeptTotal
New56662
Fresh22426
Picked011
Done000
Total583189
Error
20.2b
Counts
89 → 31
Compiler

Compiled 2183 to 1651 computations (24.4% saved)

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b
(*.f64 1/180 (*.f64 angle PI.f64))
0.4b
(pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle PI.f64))) 3)
26.4b
(cos.f64 (*.f64 1/180 (*.f64 angle PI.f64)))
26.6b
(sin.f64 (*.f64 angle (*.f64 1/180 PI.f64)))

rewrite239.0ms (1.8%)

Algorithm
rewrite-expression-head
Error
20.1b
Rules
10×pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
add-cube-cbrt_binary64 add-sqr-sqrt_binary64 *-un-lft-identity_binary64
add-log-exp_binary64
unpow-prod-down_binary64 pow-unpow_binary64 cube-prod_binary64 pow-prod-down_binary64 prod-exp_binary64 cbrt-unprod_binary64 associate-*l*_binary64
pow-pow_binary64 pow-to-exp_binary64 pow-exp_binary64 unpow3_binary64 cube-mult_binary64 rem-cube-cbrt_binary64 sqr-pow_binary64 associate-*r*_binary64 *-commutative_binary64
Counts
4 → 55
Calls

4 calls:

5.0ms
(*.f64 1/180 (*.f64 angle PI.f64))
4.0ms
(pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle PI.f64))) 3)
2.0ms
(sin.f64 (*.f64 angle (*.f64 1/180 PI.f64)))
2.0ms
(cos.f64 (*.f64 1/180 (*.f64 angle PI.f64)))
Compiler

Compiled 1435 to 1032 computations (28.1% saved)

series130.0ms (1%)

Error
20.2b
Counts
4 → 21
Calls

4 calls:

19.0ms
(pow.f64 (cos.f64 (*.f64 1/180 (*.f64 angle PI.f64))) 3)
16.0ms
(cos.f64 (*.f64 1/180 (*.f64 angle PI.f64)))
14.0ms
(sin.f64 (*.f64 angle (*.f64 1/180 PI.f64)))
10.0ms
(*.f64 1/180 (*.f64 angle PI.f64))
Compiler

Compiled 1312 to 1114 computations (15.1% saved)

simplify112.0ms (0.8%)

Algorithm
egg-herbie
Rules
413×*-commutative_binary64
365×distribute-rgt-neg-in_binary64
351×distribute-lft-neg-in_binary64
309×unswap-sqr_binary64
306×cancel-sign-sub-inv_binary64
230×log-prod_binary64
219×exp-prod_binary64
182×sqr-pow_binary64
168×associate-*r*_binary64
156×associate-+l+_binary64
128×associate-*l*_binary64
126×associate-+r+_binary64
121×sub-neg_binary64
113×cube-prod_binary64 swap-sqr_binary64
109×associate-+l-_binary64
86×unpow3_binary64
85×neg-mul-1_binary64 neg-sub0_binary64
72×+-commutative_binary64
71×cube-mult_binary64
63×log-pow_binary64 associate--l+_binary64
49×associate-/l*_binary64 associate-+r-_binary64
48×pow-sqr_binary64
39×pow-plus_binary64
33×distribute-rgt-in_binary64
30×associate--r+_binary64
25×cube-unmult_binary64
24×distribute-lft-in_binary64
22×unsub-neg_binary64
19×distribute-rgt-out_binary64
17×associate--l-_binary64
15×rem-sqrt-square_binary64
14×associate-/l/_binary64
13×count-2_binary64
12×sub0-neg_binary64
10×+-rgt-identity_binary64
associate-*r/_binary64
distribute-rgt-out--_binary64
distribute-neg-in_binary64 distribute-lft-neg-out_binary64 distribute-lft-out_binary64
unpow2_binary64
*-rgt-identity_binary64 *-lft-identity_binary64 associate-/r/_binary64
unpow1/2_binary64 unpow1_binary64 cancel-sign-sub_binary64 associate-*l/_binary64 associate--r-_binary64
exp-sum_binary64 associate-/r*_binary64
1-exp_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 rem-square-sqrt_binary64
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 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 log-rec_binary64 log-div_binary64 pow-base-0_binary64 unpow1/3_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 div-exp_binary64 rec-exp_binary64 prod-exp_binary64 exp-diff_binary64 exp-neg_binary64 e-exp-1_binary64 exp-1-e_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-div_binary64 cube-neg_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 sqr-abs_binary64 sqr-neg_binary64 times-frac_binary64 div-sub_binary64 mul-1-neg_binary64 /-rgt-identity_binary64 remove-double-neg_binary64 --rgt-identity_binary64 +-lft-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64 div0_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 difference-of-squares_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-rgt-neg-out_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 distribute-lft-out--_binary64
Counts
76 → 39
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01381271
13251145
210761127
325251127
447221113
549781113
649101113

prune120.0ms (0.9%)

Pruning

29 alts after pruning (29 fresh and 0 done)

PrunedKeptTotal
New36339
Fresh32629
Picked101
Done101
Total412970
Error
20.1b
Counts
70 → 29
Compiler

Compiled 870 to 623 computations (28.4% saved)

regimes2.6s (19.4%)

Accuracy

Total 1.3b remaining (6.7%)

Threshold costs 0b (0%)

Compiler

Compiled 37736 to 32951 computations (12.7% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
+-commutative_binary64
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 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 unpow1_binary64 e-exp-1_binary64 1-exp_binary64 exp-1-e_binary64 exp-0_binary64 sqr-abs_binary64 sqr-neg_binary64 neg-mul-1_binary64 neg-sub0_binary64 unsub-neg_binary64 sub-neg_binary64 mul-1-neg_binary64 /-rgt-identity_binary64 *-rgt-identity_binary64 *-lft-identity_binary64 remove-double-neg_binary64 sub0-neg_binary64 --rgt-identity_binary64 +-rgt-identity_binary64 +-lft-identity_binary64 cancel-sign-sub-inv_binary64 cancel-sign-sub_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-neg-in_binary64 distribute-rgt-neg-out_binary64 distribute-lft-neg-out_binary64 distribute-rgt-neg-in_binary64 distribute-lft-neg-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02346
13146
23146

end1.0ms (0%)

Compiler

Compiled 28 to 26 computations (7.1% saved)

sample6.1s (45.8%)

Algorithm
intervals
Results
1.4s1582×body1024valid
1.2s1296×body1024invalid
654.0ms5104×body128valid
441.0ms752×body512valid
404.0ms665×body512invalid
259.0ms186×body2048valid
130.0ms367×body256invalid
120.0ms370×body256valid
66.0ms523×body128invalid
28.0msbody4096valid
Compiler

Compiled 946 to 829 computations (12.4% saved)

Profiling

Loading profile data...