Details

Time bar (total: 4.5s)

analyze450.0ms (10%)

Algorithm
search
egg-herbie
Rules
54×associate-/l*_binary64
47×*-commutative_binary64
38×associate-/r/_binary64
24×associate-*l/_binary64
20×associate-/l/_binary64
18×associate-/r*_binary64 associate-*r/_binary64
times-frac_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 unpow3_binary64 unpow2_binary64 unpow1/2_binary64 pow-plus_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 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 1-exp_binary64 exp-1-e_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-unmult_binary64 cube-mult_binary64 cube-div_binary64 cube-prod_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-sqrt-square_binary64 rem-square-sqrt_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 pow-sqr_binary64 sqr-pow_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 difference-of-squares_binary64 unswap-sqr_binary64 swap-sqr_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 +-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01848
13848
27948
316448
421748
523548
623548
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
0%99.9%0.1%6
25%74.9%0.1%7
31.2%68.6%0.1%8
42.1%57.7%0.1%9
56.9%42.9%0.1%10
59.5%40.4%0.1%11
68.1%31.8%0.1%12
75.1%24.4%0.5%13
75.7%23.3%1%14
Compiler

Compiled 9 to 8 computations (11.1% saved)

sample35.0ms (0.8%)

Algorithm
intervals
Results
9.0ms43×body1024valid
9.0ms179×body128valid
4.0ms24×body512valid
1.0ms10×body256valid
0.0msbody128invalid
0.0msbody512invalid
0.0msbody256invalid
Compiler

Compiled 17 to 18 computations (-5.9% saved)

simplify10.0ms (0.2%)

Algorithm
egg-herbie
Rules
14×associate-/l*_binary64
12×*-commutative_binary64
10×associate-/r/_binary64
associate-*l/_binary64
associate-/l/_binary64 associate-/r*_binary64 associate-*r/_binary64
times-frac_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 unpow3_binary64 unpow2_binary64 unpow1/2_binary64 pow-plus_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 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 1-exp_binary64 exp-1-e_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-unmult_binary64 cube-mult_binary64 cube-div_binary64 cube-prod_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-sqrt-square_binary64 rem-square-sqrt_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 pow-sqr_binary64 sqr-pow_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 difference-of-squares_binary64 unswap-sqr_binary64 swap-sqr_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 +-commutative_binary64
Counts
1 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0812
11312
22412
34812
46312
56812
66812

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done000
Total011
Error
2.0b
Counts
1 → 1
Compiler

Compiled 8 to 7 computations (12.5% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.1b
(/.f64 (sin.f64 y) y)
0.1b
(*.f64 x (/.f64 (sin.f64 y) y))
2.0b
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)

rewrite99.0ms (2.2%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
26×add-sqr-sqrt_binary64
22×times-frac_binary64
21×add-cube-cbrt_binary64 *-un-lft-identity_binary64
19×add-exp-log_binary64 add-cbrt-cube_binary64
13×associate-*r*_binary64
div-exp_binary64 cbrt-undiv_binary64 associate-/r*_binary64
pow1_binary64
prod-exp_binary64 cbrt-unprod_binary64 associate-/l*_binary64
add-log-exp_binary64 div-inv_binary64 associate-*l*_binary64
frac-2neg_binary64 clear-num_binary64 associate-*r/_binary64 unswap-sqr_binary64
associate-/l/_binary64 pow-prod-down_binary64 *-commutative_binary64
Counts
3 → 83
Calls

3 calls:

8.0ms
(*.f64 x (/.f64 (sin.f64 y) y))
6.0ms
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
4.0ms
(/.f64 (sin.f64 y) y)
Compiler

Compiled 1205 to 315 computations (73.9% saved)

series97.0ms (2.1%)

Error
2.0b
Counts
3 → 27
Calls

3 calls:

49.0ms
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
24.0ms
(*.f64 x (/.f64 (sin.f64 y) y))
9.0ms
(/.f64 (sin.f64 y) y)
Compiler

Compiled 637 to 510 computations (19.9% saved)

simplify111.0ms (2.5%)

Algorithm
egg-herbie
Rules
511×cancel-sign-sub-inv_binary64
488×associate-*l*_binary64
440×associate-*r*_binary64
385×associate-/r/_binary64
369×associate-/r*_binary64
218×*-commutative_binary64
214×sub-neg_binary64
141×associate-/l*_binary64
122×log-prod_binary64
110×log-div_binary64
88×cube-prod_binary64
85×associate-*r/_binary64
80×cube-div_binary64
76×associate-*l/_binary64
71×times-frac_binary64
65×associate-/l/_binary64
64×sqr-pow_binary64
58×distribute-rgt-neg-in_binary64
54×associate--l+_binary64
53×+-commutative_binary64
52×*-rgt-identity_binary64 *-lft-identity_binary64
50×neg-mul-1_binary64 neg-sub0_binary64
49×unswap-sqr_binary64 distribute-lft-neg-in_binary64
48×associate-+l-_binary64
47×unpow3_binary64
36×exp-prod_binary64
34×swap-sqr_binary64 associate-+r-_binary64 associate-+l+_binary64
33×unsub-neg_binary64 distribute-neg-frac_binary64
30×associate-+r+_binary64
27×div-sub_binary64 /-rgt-identity_binary64
20×cube-mult_binary64 associate--r+_binary64
19×associate--l-_binary64
17×+-rgt-identity_binary64
16×log-rec_binary64
12×sub0-neg_binary64
cube-unmult_binary64
distribute-neg-in_binary64 distribute-rgt-out--_binary64 distribute-rgt-in_binary64
pow-sqr_binary64 distribute-lft-neg-out_binary64
div0_binary64 distribute-rgt-out_binary64
log-pow_binary64
unpow1/2_binary64 pow-plus_binary64 remove-double-neg_binary64 distribute-rgt1-in_binary64 associate--r-_binary64
unpow2_binary64 unpow1_binary64 1-exp_binary64 exp-1-e_binary64 rem-sqrt-square_binary64 --rgt-identity_binary64 +-inverses_binary64 remove-double-div_binary64 distribute-lft-out--_binary64 distribute-lft-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 mul-1-neg_binary64 +-lft-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64 *-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 difference-of-squares_binary64 cancel-sign-sub_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-rgt-neg-out_binary64 distribute-lft1-in_binary64 distribute-lft-in_binary64 count-2_binary64
Counts
110 → 61
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01621632
14031449
214031443
338881443
449361443
549491443

prune41.0ms (0.9%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New54761
Fresh000
Picked011
Done000
Total54862
Error
0.0b
Counts
62 → 8
Compiler

Compiled 654 to 269 computations (58.9% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 x)
0.6b
(cbrt.f64 x)
0.6b
(cbrt.f64 x)
2.0b
(/.f64 (*.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (/.f64 (sin.f64 y) y) (cbrt.f64 x))) z)

rewrite80.0ms (1.8%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
33×add-exp-log_binary64
23×add-cbrt-cube_binary64
13×prod-exp_binary64 cbrt-unprod_binary64
div-exp_binary64 add-cube-cbrt_binary64 cbrt-undiv_binary64 add-sqr-sqrt_binary64 *-un-lft-identity_binary64 cbrt-prod_binary64
pow1_binary64 add-log-exp_binary64
times-frac_binary64 associate-/r*_binary64 pow1/3_binary64
frac-2neg_binary64 clear-num_binary64 div-inv_binary64 associate-*l/_binary64 associate-*r/_binary64 associate-/l/_binary64 associate-/l*_binary64
Counts
4 → 65
Calls

4 calls:

14.0ms
(/.f64 (*.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (/.f64 (sin.f64 y) y) (cbrt.f64 x))) z)
1.0ms
(cbrt.f64 x)
1.0ms
(cbrt.f64 x)
1.0ms
(cbrt.f64 x)
Compiler

Compiled 1436 to 272 computations (81.1% saved)

series116.0ms (2.6%)

Error
0.0b
Counts
4 → 21
Calls

4 calls:

54.0ms
(/.f64 (*.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (/.f64 (sin.f64 y) y) (cbrt.f64 x))) z)
17.0ms
(cbrt.f64 x)
17.0ms
(cbrt.f64 x)
16.0ms
(cbrt.f64 x)
Compiler

Compiled 738 to 538 computations (27.1% saved)

simplify82.0ms (1.8%)

Algorithm
egg-herbie
Rules
763×associate-/r*_binary64
633×associate-/l/_binary64
573×associate-/r/_binary64
216×log-div_binary64
173×associate-/l*_binary64
159×log-prod_binary64
148×associate-*l*_binary64
129×associate-*r*_binary64
122×times-frac_binary64
97×unswap-sqr_binary64
76×associate-*l/_binary64
70×associate-*r/_binary64
58×distribute-neg-frac_binary64 distribute-rgt-neg-in_binary64
51×distribute-lft-neg-in_binary64 *-commutative_binary64
45×sub-neg_binary64
39×cancel-sign-sub-inv_binary64
29×cube-div_binary64
26×neg-sub0_binary64 sqr-pow_binary64
21×neg-mul-1_binary64
19×swap-sqr_binary64
18×cube-prod_binary64
17×associate--l+_binary64
15×+-commutative_binary64
12×associate-+l+_binary64
10×cube-unmult_binary64 associate-+r+_binary64
exp-prod_binary64
log-pow_binary64 log-rec_binary64 *-rgt-identity_binary64
div-sub_binary64 unsub-neg_binary64 mul-1-neg_binary64 distribute-frac-neg_binary64 distribute-lft-neg-out_binary64
pow-plus_binary64 distribute-neg-in_binary64 distribute-rgt-neg-out_binary64 associate--r+_binary64 associate-+r-_binary64
rem-sqrt-square_binary64 /-rgt-identity_binary64 distribute-rgt-in_binary64
unpow1/3_binary64 unpow3_binary64 *-lft-identity_binary64 pow-sqr_binary64 count-2_binary64 associate-+l-_binary64
unpow2_binary64 unpow1/2_binary64 unpow1_binary64 1-exp_binary64 cube-mult_binary64 rem-3cbrt-lft_binary64 rem-cube-cbrt_binary64 remove-double-neg_binary64 distribute-rgt-out_binary64 distribute-lft-out_binary64 distribute-lft-in_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 pow-base-0_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-1-e_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-neg_binary64 rem-3cbrt-rft_binary64 rem-cbrt-cube_binary64 sqr-abs_binary64 sqr-neg_binary64 rem-square-sqrt_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_binary64 distribute-neg-out_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 distribute-rgt-out--_binary64 distribute-lft-out--_binary64 associate--r-_binary64
Counts
86 → 55
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01411666
1360926
21476926
34692926
45095926

prune25.0ms (0.6%)

Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New54155
Fresh066
Picked011
Done011
Total54963
Error
0.0b
Counts
63 → 9
Compiler

Compiled 511 to 194 computations (62% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 x)
0.6b
(cbrt.f64 x)
0.7b
(/.f64 z (*.f64 (cbrt.f64 x) (/.f64 (sin.f64 y) y)))
1.4b
(/.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 z (*.f64 (cbrt.f64 x) (/.f64 (sin.f64 y) y))))

rewrite117.0ms (2.6%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
45×add-exp-log_binary64
31×add-cbrt-cube_binary64
20×div-exp_binary64 cbrt-undiv_binary64
17×times-frac_binary64
12×add-cube-cbrt_binary64 add-sqr-sqrt_binary64 *-un-lft-identity_binary64
10×prod-exp_binary64 cbrt-unprod_binary64
associate-/r*_binary64
cbrt-prod_binary64
pow1_binary64 add-log-exp_binary64 div-inv_binary64 associate-/r/_binary64 associate-/l*_binary64
associate-*r/_binary64
frac-2neg_binary64 clear-num_binary64 pow1/3_binary64
Counts
4 → 90
Calls

4 calls:

12.0ms
(/.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 z (*.f64 (cbrt.f64 x) (/.f64 (sin.f64 y) y))))
6.0ms
(/.f64 z (*.f64 (cbrt.f64 x) (/.f64 (sin.f64 y) y)))
1.0ms
(cbrt.f64 x)
1.0ms
(cbrt.f64 x)
Compiler

Compiled 2006 to 316 computations (84.2% saved)

series197.0ms (4.4%)

Error
0.0b
Counts
4 → 30
Calls

4 calls:

93.0ms
(/.f64 z (*.f64 (cbrt.f64 x) (/.f64 (sin.f64 y) y)))
54.0ms
(/.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 z (*.f64 (cbrt.f64 x) (/.f64 (sin.f64 y) y))))
19.0ms
(cbrt.f64 x)
16.0ms
(cbrt.f64 x)
Compiler

Compiled 1200 to 887 computations (26.1% saved)

simplify132.0ms (2.9%)

Algorithm
egg-herbie
Rules
522×*-commutative_binary64
318×log-prod_binary64
317×unswap-sqr_binary64
218×sub-neg_binary64
195×log-div_binary64
189×associate-/l*_binary64
173×cancel-sign-sub-inv_binary64
136×cube-prod_binary64 associate-/r/_binary64
135×times-frac_binary64
121×associate-*r*_binary64
109×associate-*l/_binary64
108×associate-/r*_binary64
106×cube-div_binary64 associate-/l/_binary64 associate-*l*_binary64
105×sqr-pow_binary64
93×associate-*r/_binary64
90×div-sub_binary64
75×neg-sub0_binary64
73×distribute-neg-frac_binary64
69×swap-sqr_binary64
68×neg-mul-1_binary64
62×exp-prod_binary64
49×+-commutative_binary64
48×distribute-rgt-neg-in_binary64 associate-+l+_binary64
42×distribute-lft-neg-in_binary64
41×associate-+r+_binary64
39×unpow3_binary64
38×associate--r+_binary64
37×cube-mult_binary64
29×associate-+l-_binary64
26×unsub-neg_binary64 associate--r-_binary64
25×associate-+r-_binary64
23×associate--l+_binary64
19×distribute-neg-in_binary64 distribute-rgt-out_binary64
15×log-pow_binary64
14×*-rgt-identity_binary64 distribute-lft-out_binary64 associate--l-_binary64
13×remove-double-neg_binary64 distribute-rgt-in_binary64
12×cube-unmult_binary64
11×div0_binary64
+-rgt-identity_binary64 distribute-frac-neg_binary64
log-rec_binary64 pow-plus_binary64
sub0-neg_binary64 distribute-lft-neg-out_binary64 distribute-lft-in_binary64
mul-1-neg_binary64 pow-sqr_binary64 distribute-rgt-neg-out_binary64
cube-neg_binary64 rem-sqrt-square_binary64
unpow1/3_binary64
exp-diff_binary64 --rgt-identity_binary64
sqr-neg_binary64 /-rgt-identity_binary64 *-lft-identity_binary64 count-2_binary64
unpow2_binary64 unpow1/2_binary64 unpow1_binary64 exp-sum_binary64 1-exp_binary64 rem-3cbrt-lft_binary64 rem-cube-cbrt_binary64 mul0-rgt_binary64 mul0-lft_binary64 remove-double-div_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 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-neg_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 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 difference-of-squares_binary64 cancel-sign-sub_binary64 distribute-neg-out_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 distribute-rgt-out--_binary64 distribute-lft-out--_binary64
Counts
120 → 87
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01952755
14881802
219221756
331921753
448551753
550221753

prune41.0ms (0.9%)

Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New86187
Fresh156
Picked101
Done022
Total88896
Error
0.0b
Counts
96 → 8
Compiler

Compiled 886 to 314 computations (64.6% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 z)
0.6b
(cbrt.f64 z)
0.6b
(cbrt.f64 z)
2.1b
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x (*.f64 (cbrt.f64 z) (cbrt.f64 z))))

rewrite94.0ms (2.1%)

Algorithm
rewrite-expression-head
Error
0b
Rules
26×add-sqr-sqrt_binary64
25×add-exp-log_binary64
21×add-cbrt-cube_binary64
16×add-cube-cbrt_binary64 *-un-lft-identity_binary64 times-frac_binary64
13×associate-*l*_binary64
cbrt-prod_binary64
prod-exp_binary64 cbrt-unprod_binary64
div-exp_binary64 cbrt-undiv_binary64 associate-*r*_binary64
pow1_binary64
add-log-exp_binary64 unswap-sqr_binary64
pow1/3_binary64
div-inv_binary64
pow-prod-down_binary64 frac-times_binary64 associate-*l/_binary64 associate-*r/_binary64 *-commutative_binary64
Counts
4 → 81
Calls

4 calls:

13.0ms
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x (*.f64 (cbrt.f64 z) (cbrt.f64 z))))
1.0ms
(cbrt.f64 z)
1.0ms
(cbrt.f64 z)
1.0ms
(cbrt.f64 z)
Compiler

Compiled 1778 to 363 computations (79.6% saved)

series174.0ms (3.9%)

Error
0.0b
Counts
4 → 21
Calls

4 calls:

111.0ms
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x (*.f64 (cbrt.f64 z) (cbrt.f64 z))))
18.0ms
(cbrt.f64 z)
16.0ms
(cbrt.f64 z)
16.0ms
(cbrt.f64 z)
Compiler

Compiled 1038 to 810 computations (22% saved)

simplify89.0ms (2%)

Algorithm
egg-herbie
Rules
657×associate-/l*_binary64
634×associate-/r*_binary64
398×*-commutative_binary64
265×associate-/l/_binary64
144×sub-neg_binary64
136×associate-/r/_binary64
134×log-div_binary64
130×associate-*l/_binary64
126×cancel-sign-sub-inv_binary64
122×associate-*r/_binary64
117×associate-*l*_binary64
111×cube-div_binary64
105×associate-*r*_binary64
82×log-prod_binary64
75×times-frac_binary64
67×unswap-sqr_binary64
59×distribute-rgt-neg-in_binary64
57×distribute-lft-neg-in_binary64
54×neg-sub0_binary64
53×neg-mul-1_binary64
50×cube-prod_binary64
38×sqr-pow_binary64
32×+-commutative_binary64
27×associate-+l+_binary64
26×associate--r+_binary64
24×associate-+l-_binary64
23×exp-prod_binary64 associate-+r+_binary64
21×associate-+r-_binary64
18×associate--l+_binary64
17×unpow3_binary64 unsub-neg_binary64
15×cube-mult_binary64
13×log-rec_binary64 distribute-lft-out--_binary64
12×*-lft-identity_binary64 swap-sqr_binary64 distribute-rgt-out_binary64
11×cube-unmult_binary64
10×log-pow_binary64 *-rgt-identity_binary64 distribute-neg-in_binary64
distribute-rgt-out--_binary64
pow-plus_binary64 distribute-lft-out_binary64
rem-sqrt-square_binary64
associate--r-_binary64
distribute-rgt-in_binary64
unpow1/2_binary64
unpow1/3_binary64 unpow2_binary64 unpow1_binary64 pow-sqr_binary64
/-rgt-identity_binary64 distribute-lft-neg-out_binary64 distribute-lft-in_binary64 count-2_binary64 associate--l-_binary64
1-exp_binary64 exp-1-e_binary64 rem-3cbrt-lft_binary64 mul-1-neg_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_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 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-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 sqr-neg_binary64 rem-square-sqrt_binary64 div-sub_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_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-rgt-neg-out_binary64
Counts
102 → 69
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01561937
14061433
214301405
343801405
449501405

prune35.0ms (0.8%)

Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New69069
Fresh055
Picked011
Done022
Total69877
Error
0.0b
Counts
77 → 8
Compiler

Compiled 875 to 357 computations (59.2% saved)

regimes1.1s (24.1%)

Accuracy

Total 0.5b remaining (95.6%)

Threshold costs 0.5b (95.6%)

Compiler

Compiled 10012 to 6201 computations (38.1% saved)

bsearch35.0ms (0.8%)

Steps
ItersRangePoint
5
2.468795446448647e+167
8.667148412474438e+167
2.534787716375241e+167
6
-2.9743777545176014e-16
-3.2140348961993113e-22
-6.834042573139296e-20
Compiler

Compiled 1 to 3 computations (-200% saved)

simplify4.0ms (0.1%)

Algorithm
egg-herbie
Rules
if-if-or-not_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_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 +-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01738
12138
22138

end1.0ms (0%)

Compiler

Compiled 25 to 16 computations (36% saved)

sample1.3s (29.1%)

Algorithm
intervals
Results
300.0ms1356×body1024valid
298.0ms5469×body128valid
118.0ms792×body512valid
40.0ms380×body256valid
28.0ms516×body128invalid
5.0ms37×body512invalid
4.0ms20×body1024invalid
3.0ms34×body256invalid
1.0msbody2048valid
Compiler

Compiled 166 to 129 computations (22.3% saved)

Profiling

Loading profile data...