Details

Time bar (total: 13.3s)

analyze1.7s (12.7%)

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)

sample154.0ms (1.2%)

Algorithm
intervals
Results
40.0ms47×body1024valid
31.0ms35×body1024invalid
20.0ms162×body128valid
16.0ms21×body512invalid
14.0ms25×body512valid
7.0msbody2048valid
5.0ms16×body256valid
2.0msbody256invalid
2.0ms15×body128invalid
Compiler

Compiled 43 to 42 computations (2.3% saved)

simplify144.0ms (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
20.2b
Counts
1 → 1
Compiler

Compiled 21 to 19 computations (9.5% saved)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b
(*.f64 (/.f64 angle 180) PI.f64)
0.3b
(*.f64 (/.f64 angle 180) PI.f64)
25.1b
(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
25.1b
(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))

rewrite188.0ms (1.4%)

Algorithm
rewrite-expression-head
Error
19.1b
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:

7.0ms
(*.f64 (/.f64 angle 180) PI.f64)
7.0ms
(*.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)

series45.0ms (0.3%)

Error
19.8b
Counts
4 → 13
Calls

4 calls:

11.0ms
(*.f64 (/.f64 angle 180) PI.f64)
10.0ms
(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
9.0ms
(*.f64 (/.f64 angle 180) PI.f64)
7.0ms
(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
Compiler

Compiled 660 to 577 computations (12.6% saved)

simplify118.0ms (0.9%)

Algorithm
egg-herbie
Rules
567×associate-/l*_binary64
478×associate-*l/_binary64
375×distribute-rgt-neg-in_binary64
357×*-commutative_binary64
345×distribute-lft-neg-in_binary64
332×associate-*r/_binary64
278×associate-*l*_binary64
245×sub-neg_binary64
234×associate-*r*_binary64
201×cancel-sign-sub-inv_binary64
189×unswap-sqr_binary64
171×associate-/l/_binary64
157×associate-/r*_binary64
152×unsub-neg_binary64
147×associate-/r/_binary64
139×neg-mul-1_binary64
127×neg-sub0_binary64
101×sqr-pow_binary64
85×associate-+l+_binary64
83×associate-+r+_binary64
57×associate--l+_binary64
52×associate-+l-_binary64
49×distribute-rgt-in_binary64
45×distribute-lft-in_binary64 associate-+r-_binary64
34×associate--r+_binary64
33×*-rgt-identity_binary64 *-lft-identity_binary64
30×times-frac_binary64
29×exp-prod_binary64
27×log-prod_binary64
26×+-commutative_binary64
25×pow-sqr_binary64
24×cube-prod_binary64
23×associate--l-_binary64
22×rem-sqrt-square_binary64 mul0-rgt_binary64 mul0-lft_binary64
20×distribute-neg-in_binary64
18×div-sub_binary64 associate--r-_binary64
17×log-div_binary64 /-rgt-identity_binary64
16×swap-sqr_binary64
15×cube-div_binary64
14×distribute-rgt-out--_binary64
13×distribute-rgt-out_binary64
12×unpow3_binary64
11×sub0-neg_binary64
10×cube-unmult_binary64 +-rgt-identity_binary64 distribute-lft-neg-out_binary64
cube-mult_binary64 distribute-rgt-neg-out_binary64
--rgt-identity_binary64
distribute-neg-frac_binary64 distribute-lft-out--_binary64
distribute-lft-out_binary64
pow-plus_binary64 remove-double-neg_binary64
log-rec_binary64 unpow1/2_binary64 exp-sum_binary64 +-lft-identity_binary64
unpow2_binary64
cos-neg_binary64 sin-neg_binary64 exp-diff_binary64 1-exp_binary64 exp-1-e_binary64 cube-neg_binary64 sqr-neg_binary64 distribute-neg-out_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 count-2_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 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 pow-base-0_binary64 unpow1/3_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow1_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-neg_binary64 e-exp-1_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 rem-square-sqrt_binary64 mul-1-neg_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-frac-neg_binary64
Counts
91 → 67
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0961161
11931017
24831017
313871014
433611014
545651014
648031014
749101014

prune148.0ms (1.1%)

Pruning

24 alts after pruning (24 fresh and 0 done)

PrunedKeptTotal
New432467
Fresh000
Picked101
Done000
Total442468
Error
19.1b
Counts
68 → 24
Compiler

Compiled 2341 to 1722 computations (26.4% saved)

localize26.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 (/.f64 angle 180))
0.6b
(cbrt.f64 (/.f64 angle 180))
24.8b
(cos.f64 (*.f64 (*.f64 (cbrt.f64 (/.f64 angle 180)) (cbrt.f64 (/.f64 angle 180))) (*.f64 PI.f64 (cbrt.f64 (*.f64 1/180 angle)))))
25.1b
(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))

rewrite269.0ms (2%)

Algorithm
rewrite-expression-head
Error
19.1b
Rules
26×cbrt-prod_binary64
18×add-cube-cbrt_binary64 add-sqr-sqrt_binary64 *-un-lft-identity_binary64 times-frac_binary64
pow1_binary64 add-log-exp_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
pow1/3_binary64 cbrt-div_binary64 div-inv_binary64
Counts
4 → 58
Calls

4 calls:

4.0ms
(cos.f64 (*.f64 (*.f64 (cbrt.f64 (/.f64 angle 180)) (cbrt.f64 (/.f64 angle 180))) (*.f64 PI.f64 (cbrt.f64 (*.f64 1/180 angle)))))
3.0ms
(cbrt.f64 (/.f64 angle 180))
2.0ms
(cbrt.f64 (/.f64 angle 180))
2.0ms
(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
Compiler

Compiled 2315 to 1754 computations (24.2% saved)

series101.0ms (0.8%)

Error
19.0b
Counts
4 → 13
Calls

4 calls:

24.0ms
(cbrt.f64 (/.f64 angle 180))
22.0ms
(cbrt.f64 (/.f64 angle 180))
12.0ms
(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
11.0ms
(cos.f64 (*.f64 (*.f64 (cbrt.f64 (/.f64 angle 180)) (cbrt.f64 (/.f64 angle 180))) (*.f64 PI.f64 (cbrt.f64 (*.f64 1/180 angle)))))
Compiler

Compiled 1124 to 960 computations (14.6% saved)

simplify159.0ms (1.2%)

Algorithm
egg-herbie
Rules
830×unswap-sqr_binary64
558×associate-*l/_binary64
333×distribute-rgt-neg-in_binary64
323×distribute-lft-neg-in_binary64
314×times-frac_binary64
302×*-commutative_binary64
294×cancel-sign-sub-inv_binary64
174×sub-neg_binary64
158×associate-/l*_binary64
151×associate-*l*_binary64
142×associate-*r*_binary64
140×neg-mul-1_binary64
138×neg-sub0_binary64
134×associate-/l/_binary64
118×associate-/r*_binary64
91×unsub-neg_binary64 associate-/r/_binary64
70×sqr-pow_binary64
60×distribute-rgt-in_binary64
55×distribute-lft-in_binary64
43×remove-double-neg_binary64
37×*-rgt-identity_binary64 associate-*r/_binary64
34×*-lft-identity_binary64
32×mul0-rgt_binary64 mul0-lft_binary64
28×div-sub_binary64
24×unpow3_binary64
20×pow-plus_binary64 cube-unmult_binary64
19×distribute-neg-in_binary64 distribute-rgt-out_binary64
14×cube-prod_binary64
13×distribute-lft-neg-out_binary64 distribute-rgt-out--_binary64
12×distribute-rgt-neg-out_binary64
11×+-commutative_binary64
10×sub0-neg_binary64
/-rgt-identity_binary64
associate-+l-_binary64
pow-sqr_binary64 associate--r+_binary64
cube-mult_binary64 cube-div_binary64 sqr-neg_binary64 --rgt-identity_binary64 distribute-lft-out--_binary64
unpow2_binary64 swap-sqr_binary64 associate--r-_binary64 associate--l-_binary64 associate--l+_binary64 associate-+r-_binary64 associate-+r+_binary64
+-rgt-identity_binary64 distribute-lft-out_binary64
sin-neg_binary64 unpow1/3_binary64 cube-neg_binary64 rem-cube-cbrt_binary64 mul-1-neg_binary64 distribute-neg-out_binary64
cos-neg_binary64 unpow1_binary64 1-exp_binary64 rem-3cbrt-lft_binary64 rem-sqrt-square_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 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 unpow1/2_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 rem-3cbrt-rft_binary64 rem-cbrt-cube_binary64 sqr-abs_binary64 rem-square-sqrt_binary64 +-lft-identity_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-rgt1-in_binary64 distribute-lft1-in_binary64 count-2_binary64 associate-+l+_binary64
Counts
71 → 28
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01071145
11891043
23851043
39861043
422101043
538901043
649061043
749951043
850001043
948521043

prune109.0ms (0.8%)

Pruning

25 alts after pruning (25 fresh and 0 done)

PrunedKeptTotal
New23528
Fresh32023
Picked101
Done000
Total272552
Error
19.0b
Counts
52 → 25
Compiler

Compiled 1655 to 1320 computations (20.2% saved)

localize30.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 (/.f64 angle 180))
0.6b
(cbrt.f64 (*.f64 1/180 angle))
24.8b
(cos.f64 (*.f64 (*.f64 (cbrt.f64 (/.f64 angle 180)) (cbrt.f64 (/.f64 angle 180))) (*.f64 PI.f64 (cbrt.f64 (*.f64 1/180 angle)))))
25.1b
(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))

rewrite223.0ms (1.7%)

Algorithm
rewrite-expression-head
Error
19.0b
Rules
14×cbrt-prod_binary64
11×add-cube-cbrt_binary64 add-sqr-sqrt_binary64 *-un-lft-identity_binary64
times-frac_binary64
pow1_binary64 add-log-exp_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
pow1/3_binary64
cbrt-div_binary64 div-inv_binary64
Counts
4 → 45
Calls

4 calls:

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

Compiled 1922 to 1496 computations (22.2% saved)

series104.0ms (0.8%)

Error
19.0b
Counts
4 → 13
Calls

4 calls:

23.0ms
(cbrt.f64 (*.f64 1/180 angle))
23.0ms
(cbrt.f64 (/.f64 angle 180))
12.0ms
(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
12.0ms
(cos.f64 (*.f64 (*.f64 (cbrt.f64 (/.f64 angle 180)) (cbrt.f64 (/.f64 angle 180))) (*.f64 PI.f64 (cbrt.f64 (*.f64 1/180 angle)))))
Compiler

Compiled 1229 to 1065 computations (13.3% saved)

simplify143.0ms (1.1%)

Algorithm
egg-herbie
Rules
830×unswap-sqr_binary64
558×associate-*l/_binary64
347×distribute-rgt-neg-in_binary64
333×distribute-lft-neg-in_binary64
314×times-frac_binary64
304×*-commutative_binary64
301×cancel-sign-sub-inv_binary64
158×associate-/l*_binary64
156×associate-*l*_binary64
145×associate-*r*_binary64
142×neg-sub0_binary64
141×neg-mul-1_binary64
134×associate-/l/_binary64
118×associate-/r*_binary64
105×sub-neg_binary64
91×unsub-neg_binary64 associate-/r/_binary64
74×sqr-pow_binary64
60×distribute-rgt-in_binary64
55×distribute-lft-in_binary64
43×remove-double-neg_binary64
37×*-rgt-identity_binary64 associate-*r/_binary64
34×div-sub_binary64 *-lft-identity_binary64
32×mul0-rgt_binary64 mul0-lft_binary64
24×unpow3_binary64
23×distribute-neg-in_binary64
21×cube-unmult_binary64
20×pow-plus_binary64
19×distribute-rgt-out_binary64
17×distribute-lft-neg-out_binary64
14×cube-prod_binary64
13×distribute-rgt-out--_binary64
12×distribute-rgt-neg-out_binary64
11×+-commutative_binary64
10×cube-mult_binary64 sub0-neg_binary64
/-rgt-identity_binary64
associate-+l-_binary64
pow-sqr_binary64 associate--r+_binary64
cube-div_binary64 sqr-neg_binary64 --rgt-identity_binary64 distribute-lft-out--_binary64
unpow2_binary64 swap-sqr_binary64 associate--r-_binary64 associate--l-_binary64 associate--l+_binary64 associate-+r-_binary64 associate-+r+_binary64
+-rgt-identity_binary64 distribute-lft-out_binary64
sin-neg_binary64 unpow1/3_binary64 cube-neg_binary64 rem-3cbrt-lft_binary64 rem-cube-cbrt_binary64 mul-1-neg_binary64 distribute-neg-out_binary64
cos-neg_binary64 unpow1_binary64 1-exp_binary64 rem-sqrt-square_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 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 unpow1/2_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 rem-3cbrt-rft_binary64 rem-cbrt-cube_binary64 sqr-abs_binary64 rem-square-sqrt_binary64 +-lft-identity_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-rgt1-in_binary64 distribute-lft1-in_binary64 count-2_binary64 associate-+l+_binary64
Counts
58 → 22
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0114913
1197823
2397823
31004823
42243823
53954823
64978823
74964823
84988823
94853823

prune95.0ms (0.7%)

Pruning

26 alts after pruning (26 fresh and 0 done)

PrunedKeptTotal
New18422
Fresh22224
Picked101
Done000
Total212647
Error
19.0b
Counts
47 → 26
Compiler

Compiled 1525 to 1245 computations (18.4% saved)

localize32.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 (/.f64 angle 180))
0.6b
(cbrt.f64 (*.f64 1/180 angle))
24.8b
(cos.f64 (*.f64 (*.f64 (cbrt.f64 (/.f64 angle 180)) (cbrt.f64 (/.f64 angle 180))) (*.f64 PI.f64 (cbrt.f64 (*.f64 1/180 angle)))))
25.1b
(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))

rewrite222.0ms (1.7%)

Algorithm
rewrite-expression-head
Error
19.0b
Rules
14×cbrt-prod_binary64
11×add-cube-cbrt_binary64 add-sqr-sqrt_binary64 *-un-lft-identity_binary64
times-frac_binary64
pow1_binary64 add-log-exp_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
pow1/3_binary64
cbrt-div_binary64 div-inv_binary64
Counts
4 → 45
Calls

4 calls:

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

Compiled 2057 to 1631 computations (20.7% saved)

series112.0ms (0.8%)

Error
19.0b
Counts
4 → 13
Calls

4 calls:

24.0ms
(cbrt.f64 (/.f64 angle 180))
22.0ms
(cbrt.f64 (*.f64 1/180 angle))
15.0ms
(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
13.0ms
(cos.f64 (*.f64 (*.f64 (cbrt.f64 (/.f64 angle 180)) (cbrt.f64 (/.f64 angle 180))) (*.f64 PI.f64 (cbrt.f64 (*.f64 1/180 angle)))))
Compiler

Compiled 1334 to 1170 computations (12.3% saved)

simplify146.0ms (1.1%)

Algorithm
egg-herbie
Rules
830×unswap-sqr_binary64
558×associate-*l/_binary64
347×distribute-rgt-neg-in_binary64
333×distribute-lft-neg-in_binary64
314×times-frac_binary64
304×*-commutative_binary64
301×cancel-sign-sub-inv_binary64
158×associate-/l*_binary64
156×associate-*l*_binary64
145×associate-*r*_binary64
142×neg-sub0_binary64
141×neg-mul-1_binary64
134×associate-/l/_binary64
118×associate-/r*_binary64
105×sub-neg_binary64
91×unsub-neg_binary64 associate-/r/_binary64
74×sqr-pow_binary64
60×distribute-rgt-in_binary64
55×distribute-lft-in_binary64
43×remove-double-neg_binary64
37×*-rgt-identity_binary64 associate-*r/_binary64
34×div-sub_binary64 *-lft-identity_binary64
32×mul0-rgt_binary64 mul0-lft_binary64
24×unpow3_binary64
23×distribute-neg-in_binary64
21×cube-unmult_binary64
20×pow-plus_binary64
19×distribute-rgt-out_binary64
17×distribute-lft-neg-out_binary64
14×cube-prod_binary64
13×distribute-rgt-out--_binary64
12×distribute-rgt-neg-out_binary64
11×+-commutative_binary64
10×cube-mult_binary64 sub0-neg_binary64
/-rgt-identity_binary64
associate-+l-_binary64
pow-sqr_binary64 associate--r+_binary64
cube-div_binary64 sqr-neg_binary64 --rgt-identity_binary64 distribute-lft-out--_binary64
unpow2_binary64 swap-sqr_binary64 associate--r-_binary64 associate--l-_binary64 associate--l+_binary64 associate-+r-_binary64 associate-+r+_binary64
+-rgt-identity_binary64 distribute-lft-out_binary64
sin-neg_binary64 unpow1/3_binary64 cube-neg_binary64 rem-3cbrt-lft_binary64 rem-cube-cbrt_binary64 mul-1-neg_binary64 distribute-neg-out_binary64
cos-neg_binary64 unpow1_binary64 1-exp_binary64 rem-sqrt-square_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 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 unpow1/2_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 rem-3cbrt-rft_binary64 rem-cbrt-cube_binary64 sqr-abs_binary64 rem-square-sqrt_binary64 +-lft-identity_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-rgt1-in_binary64 distribute-lft1-in_binary64 count-2_binary64 associate-+l+_binary64
Counts
58 → 22
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0114913
1197823
2397823
31004823
42243823
53954823
64978823
74964823
84988823
94853823

prune78.0ms (0.6%)

Pruning

26 alts after pruning (25 fresh and 1 done)

PrunedKeptTotal
New20222
Fresh22325
Picked011
Done000
Total222648
Error
19.0b
Counts
48 → 26
Compiler

Compiled 753 to 597 computations (20.7% saved)

regimes2.7s (20.3%)

Accuracy

Total 1.2b remaining (5.6%)

Threshold costs 0b (0%)

Compiler

Compiled 46240 to 40397 computations (12.6% 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
02670
13570
23570

end2.0ms (0%)

Compiler

Compiled 43 to 37 computations (14% saved)

sample6.3s (46.9%)

Algorithm
intervals
Results
1.4s1602×body1024valid
1.2s1333×body1024invalid
774.0ms4976×body128valid
481.0ms825×body512valid
427.0ms709×body512invalid
282.0ms209×body2048valid
129.0ms361×body256invalid
119.0ms384×body256valid
72.0ms548×body128invalid
18.0msbody4096valid
Compiler

Compiled 900 to 780 computations (13.3% saved)

Profiling

Loading profile data...