Details

Time bar (total: 4.1s)

analyze285.0ms (7%)

Algorithm
search
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 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 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 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-/l*_binary64 associate-/r*_binary64 associate-*l/_binary64 associate-*r/_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
02256
13456
23456
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
37.4%62.4%0.1%6
49.9%49.9%0.1%7
62.4%37.4%0.1%8
62.4%37.4%0.1%9
71.8%28.1%0.1%10
79.6%20.3%0.1%11
79.6%20.3%0.1%12
85%14.8%0.1%13
89.3%10.5%0.1%14
Compiler

Compiled 10 to 9 computations (10% saved)

sample44.0ms (1.1%)

Algorithm
intervals
Results
13.0ms49×body1024valid
10.0ms155×body128valid
6.0ms31×body512valid
3.0ms21×body256valid
Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify10.0ms (0.2%)

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 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 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 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-/l*_binary64 associate-/r*_binary64 associate-*l/_binary64 associate-*r/_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
0914
11214
21214

prune5.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done000
Total011
Error
0.1b
Counts
1 → 1
Compiler

Compiled 9 to 8 computations (11.1% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.1b
(*.f64 z (sin.f64 y))
0.1b
(*.f64 x (cos.f64 y))

rewrite44.0ms (1.1%)

Algorithm
rewrite-expression-head
Error
0.1b
Rules
10×add-sqr-sqrt_binary64
pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 add-cube-cbrt_binary64 *-un-lft-identity_binary64 associate-*l*_binary64 associate-*r*_binary64
pow-prod-down_binary64 prod-exp_binary64 add-log-exp_binary64 cbrt-unprod_binary64 unswap-sqr_binary64 *-commutative_binary64
Counts
2 → 36
Calls

2 calls:

4.0ms
(*.f64 x (cos.f64 y))
4.0ms
(*.f64 z (sin.f64 y))
Compiler

Compiled 466 to 131 computations (71.9% saved)

series43.0ms (1.1%)

Error
0.1b
Counts
2 → 15
Calls

2 calls:

19.0ms
(*.f64 x (cos.f64 y))
18.0ms
(*.f64 z (sin.f64 y))
Compiler

Compiled 384 to 299 computations (22.1% saved)

simplify82.0ms (2%)

Algorithm
egg-herbie
Rules
816×distribute-rgt-neg-in_binary64
436×unswap-sqr_binary64
337×distribute-lft-neg-in_binary64
335×cancel-sign-sub-inv_binary64
304×associate-*l*_binary64
230×*-commutative_binary64
227×associate-*r*_binary64
189×sub-neg_binary64
180×sqr-pow_binary64
165×neg-mul-1_binary64
155×neg-sub0_binary64
111×+-commutative_binary64
107×distribute-rgt-in_binary64
94×distribute-lft-in_binary64
86×distribute-neg-in_binary64
79×associate-+l+_binary64
72×distribute-lft-neg-out_binary64
71×pow-sqr_binary64
67×unsub-neg_binary64
60×associate--r+_binary64
58×associate-/l/_binary64
53×distribute-rgt-neg-out_binary64 distribute-rgt-out--_binary64
46×distribute-rgt-out_binary64 associate-+r+_binary64
43×associate-/l*_binary64
41×mul0-rgt_binary64 mul0-lft_binary64 associate-+l-_binary64
34×associate-*r/_binary64
31×*-rgt-identity_binary64
28×exp-prod_binary64
27×*-lft-identity_binary64 associate-/r/_binary64
26×log-prod_binary64 distribute-lft-out_binary64
23×cube-prod_binary64 rem-sqrt-square_binary64
22×distribute-lft-out--_binary64
20×times-frac_binary64
19×associate--l+_binary64 associate-+r-_binary64
18×pow-plus_binary64 +-rgt-identity_binary64
17×sub0-neg_binary64 cancel-sign-sub_binary64
16×log-div_binary64 cube-div_binary64
15×associate-*l/_binary64
14×cube-unmult_binary64 swap-sqr_binary64 associate-/r*_binary64
11×distribute-rgt1-in_binary64
10×div-sub_binary64
remove-double-neg_binary64 distribute-neg-frac_binary64
exp-sum_binary64
unpow3_binary64 unpow1/2_binary64
exp-sqrt_binary64
--rgt-identity_binary64 distribute-frac-neg_binary64
associate--r-_binary64
unpow2_binary64 distribute-lft1-in_binary64
exp-lft-sqr_binary64 /-rgt-identity_binary64
unpow1_binary64 exp-diff_binary64 1-exp_binary64 exp-1-e_binary64 cube-mult_binary64 cube-neg_binary64 sqr-neg_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 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 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-cbrt_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 +-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 distribute-neg-out_binary64 associate--l-_binary64
Counts
51 → 22
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
082483
1179431
2484425
31019425
41460425
52509425
63814425
75059425

prune19.0ms (0.5%)

Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New17522
Fresh000
Picked101
Done000
Total18523
Error
0.1b
Counts
23 → 5
Compiler

Compiled 321 to 136 computations (57.6% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b
(*.f64 (cbrt.f64 z) (cbrt.f64 z))
0.5b
(cbrt.f64 z)
0.5b
(cbrt.f64 z)
0.5b
(cbrt.f64 z)

rewrite80.0ms (2%)

Algorithm
rewrite-expression-head
Error
0.1b
Rules
25×cbrt-prod_binary64
23×add-sqr-sqrt_binary64
15×add-cube-cbrt_binary64 *-un-lft-identity_binary64
11×pow1_binary64
pow1/3_binary64
add-exp-log_binary64 swap-sqr_binary64 associate-*l*_binary64 associate-*r*_binary64
add-log-exp_binary64 add-cbrt-cube_binary64 unswap-sqr_binary64
pow-prod-down_binary64 pow-prod-up_binary64 pow-sqr_binary64
pow2_binary64 pow-plus_binary64 prod-exp_binary64 cbrt-unprod_binary64 *-commutative_binary64
Counts
4 → 73
Calls

4 calls:

9.0ms
(*.f64 (cbrt.f64 z) (cbrt.f64 z))
1.0ms
(cbrt.f64 z)
1.0ms
(cbrt.f64 z)
1.0ms
(cbrt.f64 z)
Compiler

Compiled 1419 to 304 computations (78.6% saved)

series79.0ms (1.9%)

Error
0.1b
Counts
4 → 12
Calls

4 calls:

20.0ms
(*.f64 (cbrt.f64 z) (cbrt.f64 z))
18.0ms
(cbrt.f64 z)
17.0ms
(cbrt.f64 z)
17.0ms
(cbrt.f64 z)
Compiler

Compiled 596 to 429 computations (28% saved)

simplify107.0ms (2.6%)

Algorithm
egg-herbie
Rules
586×log-prod_binary64
416×sqr-pow_binary64
335×associate-*l*_binary64
309×*-commutative_binary64
277×distribute-rgt-neg-in_binary64
257×distribute-lft-neg-in_binary64
227×associate-*r*_binary64
188×exp-prod_binary64
161×log-pow_binary64
149×cube-prod_binary64
128×pow-sqr_binary64
124×unswap-sqr_binary64
111×swap-sqr_binary64
104×associate-/l*_binary64
81×cancel-sign-sub-inv_binary64
75×associate-+l+_binary64
69×associate-+r+_binary64
61×distribute-rgt-in_binary64
60×distribute-lft-out_binary64
57×distribute-lft-in_binary64
54×neg-sub0_binary64
53×neg-mul-1_binary64
48×distribute-rgt-out_binary64
45×+-commutative_binary64
43×pow-plus_binary64 rem-sqrt-square_binary64
41×times-frac_binary64 sub-neg_binary64
37×associate-/r/_binary64
35×associate-*r/_binary64
32×unpow3_binary64
31×*-rgt-identity_binary64 *-lft-identity_binary64 associate-/l/_binary64
29×count-2_binary64
27×cube-mult_binary64
24×associate-/r*_binary64
17×log-div_binary64 cube-div_binary64 distribute-neg-frac_binary64
13×cube-unmult_binary64 distribute-rgt1-in_binary64
11×distribute-rgt-neg-out_binary64
10×unpow1/2_binary64
distribute-lft-neg-out_binary64 distribute-lft1-in_binary64
unpow2_binary64 associate-*l/_binary64
unpow1_binary64
unpow1/3_binary64
exp-sqrt_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 mul-1-neg_binary64
exp-lft-sqr_binary64 1-exp_binary64 exp-1-e_binary64 rem-3cbrt-rft_binary64 rem-square-sqrt_binary64 sub0-neg_binary64 --rgt-identity_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 pow-base-0_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-cbrt_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-cube-cbrt_binary64 sqr-abs_binary64 sqr-neg_binary64 div-sub_binary64 unsub-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 cancel-sign-sub_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-neg-in_binary64 distribute-rgt-out--_binary64 distribute-lft-out--_binary64 associate--r-_binary64 associate--l-_binary64 associate--l+_binary64 associate--r+_binary64 associate-+r-_binary64
Counts
85 → 50
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
056718
197666
2308646
31135632
42034548
53257548
64939548
74873548

prune26.0ms (0.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New49150
Fresh044
Picked011
Done000
Total49655
Error
0.1b
Counts
55 → 6
Compiler

Compiled 590 to 222 computations (62.4% saved)

localize15.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.5b
(*.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) (cbrt.f64 (*.f64 (cos.f64 y) x)))
0.6b
(cbrt.f64 (*.f64 (cos.f64 y) x))
0.6b
(cbrt.f64 (*.f64 (cos.f64 y) x))
0.6b
(cbrt.f64 (*.f64 (cos.f64 y) x))

rewrite73.0ms (1.8%)

Algorithm
rewrite-expression-head
Error
0.1b
Rules
11×pow1_binary64
10×add-sqr-sqrt_binary64
pow1/3_binary64
add-cube-cbrt_binary64 *-un-lft-identity_binary64
cbrt-prod_binary64
add-exp-log_binary64
add-log-exp_binary64 add-cbrt-cube_binary64 swap-sqr_binary64 associate-*l*_binary64 associate-*r*_binary64
pow-prod-down_binary64 pow-prod-up_binary64 pow-sqr_binary64
pow2_binary64 pow-plus_binary64 prod-exp_binary64 cbrt-unprod_binary64 unswap-sqr_binary64 *-commutative_binary64
Counts
4 → 58
Calls

4 calls:

6.0ms
(*.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) (cbrt.f64 (*.f64 (cos.f64 y) x)))
2.0ms
(cbrt.f64 (*.f64 (cos.f64 y) x))
2.0ms
(cbrt.f64 (*.f64 (cos.f64 y) x))
2.0ms
(cbrt.f64 (*.f64 (cos.f64 y) x))
Compiler

Compiled 1490 to 231 computations (84.5% saved)

series221.0ms (5.4%)

Error
0.1b
Counts
4 → 28
Calls

4 calls:

63.0ms
(*.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) (cbrt.f64 (*.f64 (cos.f64 y) x)))
47.0ms
(cbrt.f64 (*.f64 (cos.f64 y) x))
46.0ms
(cbrt.f64 (*.f64 (cos.f64 y) x))
43.0ms
(cbrt.f64 (*.f64 (cos.f64 y) x))
Compiler

Compiled 2006 to 1208 computations (39.8% saved)

simplify94.0ms (2.3%)

Algorithm
egg-herbie
Rules
518×associate-*l*_binary64
395×associate-*r*_binary64
380×log-prod_binary64
343×exp-prod_binary64
200×distribute-rgt-in_binary64
184×distribute-lft-in_binary64
173×distribute-rgt-neg-in_binary64
165×distribute-lft-neg-in_binary64
162×unswap-sqr_binary64 associate-+l+_binary64
140×*-commutative_binary64
116×cancel-sign-sub-inv_binary64
113×exp-sum_binary64
112×sqr-pow_binary64
59×associate--r+_binary64
58×cube-prod_binary64
56×log-pow_binary64
54×sub-neg_binary64
50×associate-+r-_binary64
43×neg-sub0_binary64
42×unsub-neg_binary64
40×associate-/l*_binary64
38×neg-mul-1_binary64
37×exp-to-pow_binary64
35×swap-sqr_binary64
34×exp-diff_binary64
33×unpow3_binary64
31×associate--r-_binary64
28×div-sub_binary64
26×pow-plus_binary64
24×*-rgt-identity_binary64 pow-sqr_binary64 associate-+l-_binary64
23×distribute-rgt-neg-out_binary64
21×*-lft-identity_binary64 associate-/r*_binary64
20×log-div_binary64 associate--l+_binary64
19×distribute-rgt-out_binary64
18×distribute-lft-neg-out_binary64
17×cube-unmult_binary64 distribute-lft-out_binary64
16×unpow1/3_binary64 distribute-rgt-out--_binary64
15×distribute-neg-in_binary64
14×exp-lft-sqr_binary64 +-commutative_binary64
13×distribute-lft-out--_binary64
12×associate-/l/_binary64 associate-*r/_binary64
11×rem-sqrt-square_binary64
10×exp-neg_binary64 associate-+r+_binary64
count-2_binary64
associate-/r/_binary64
unpow2_binary64 unpow1/2_binary64 sub0-neg_binary64 associate--l-_binary64
unpow1_binary64 +-rgt-identity_binary64
log-rec_binary64 rem-exp-log_binary64
--rgt-identity_binary64
exp-sqrt_binary64 rem-3cbrt-lft_binary64 remove-double-neg_binary64 distribute-frac-neg_binary64 distribute-rgt1-in_binary64
prod-exp_binary64 1-exp_binary64 exp-1-e_binary64 rem-3cbrt-rft_binary64 rem-cbrt-cube_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 pow-base-0_binary64 pow-base-1_binary64 unpow0_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-cbrt_binary64 div-exp_binary64 rec-exp_binary64 e-exp-1_binary64 exp-0_binary64 rem-log-exp_binary64 cube-mult_binary64 cube-div_binary64 cube-neg_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 sqr-neg_binary64 times-frac_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-neg-out_binary64 distribute-lft1-in_binary64 associate-*l/_binary64
Counts
86 → 70
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0921084
1215975
2560899
32161847
44561806
54942806

prune52.0ms (1.3%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New66470
Fresh044
Picked101
Done011
Total67976
Error
0.1b
Counts
76 → 9
Compiler

Compiled 1299 to 378 computations (70.9% saved)

localize20.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.4b
(*.f64 (*.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) (cbrt.f64 (cos.f64 y))) (cbrt.f64 x))
0.6b
(cbrt.f64 x)
0.6b
(cbrt.f64 (*.f64 (cos.f64 y) x))
0.6b
(cbrt.f64 (*.f64 x (cos.f64 y)))

rewrite74.0ms (1.8%)

Algorithm
rewrite-expression-head
Error
0.1b
Rules
pow1_binary64 add-exp-log_binary64
cbrt-prod_binary64
add-cube-cbrt_binary64 add-sqr-sqrt_binary64 *-un-lft-identity_binary64
pow1/3_binary64 associate-*r*_binary64
add-cbrt-cube_binary64 pow-prod-down_binary64
add-log-exp_binary64
prod-exp_binary64 cbrt-unprod_binary64
associate-*l*_binary64 *-commutative_binary64
Counts
4 → 51
Calls

4 calls:

8.0ms
(*.f64 (*.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) (cbrt.f64 (cos.f64 y))) (cbrt.f64 x))
3.0ms
(cbrt.f64 (*.f64 x (cos.f64 y)))
2.0ms
(cbrt.f64 (*.f64 (cos.f64 y) x))
1.0ms
(cbrt.f64 x)
Compiler

Compiled 1400 to 254 computations (81.9% saved)

series194.0ms (4.8%)

Error
0.1b
Counts
4 → 24
Calls

4 calls:

62.0ms
(*.f64 (*.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) (cbrt.f64 (cos.f64 y))) (cbrt.f64 x))
48.0ms
(cbrt.f64 (*.f64 x (cos.f64 y)))
45.0ms
(cbrt.f64 (*.f64 (cos.f64 y) x))
19.0ms
(cbrt.f64 x)
Compiler

Compiled 1741 to 1145 computations (34.2% saved)

simplify91.0ms (2.2%)

Algorithm
egg-herbie
Rules
560×unswap-sqr_binary64
330×distribute-rgt-in_binary64
315×distribute-lft-in_binary64
311×*-commutative_binary64
294×log-prod_binary64
138×associate-*l*_binary64
136×sqr-pow_binary64
133×exp-sum_binary64
129×distribute-rgt-neg-in_binary64
127×exp-prod_binary64
124×distribute-lft-neg-in_binary64
113×associate-*r*_binary64
109×unsub-neg_binary64
95×cancel-sign-sub-inv_binary64
90×swap-sqr_binary64
67×sub-neg_binary64
63×log-pow_binary64
58×log-div_binary64
50×neg-mul-1_binary64 neg-sub0_binary64
45×distribute-neg-in_binary64
43×cube-prod_binary64
39×exp-diff_binary64
34×div-sub_binary64
31×pow-sqr_binary64
30×associate-/r*_binary64
24×associate-+r+_binary64
23×+-commutative_binary64
22×distribute-rgt-neg-out_binary64
18×exp-to-pow_binary64 associate-+l+_binary64
17×distribute-lft-neg-out_binary64
15×unpow1/3_binary64
13×distribute-lft-out_binary64
12×cube-unmult_binary64 associate-+r-_binary64
11×exp-neg_binary64
10×*-rgt-identity_binary64 *-lft-identity_binary64
log-rec_binary64 cube-mult_binary64 rem-sqrt-square_binary64
pow-plus_binary64 exp-lft-sqr_binary64 remove-double-neg_binary64 associate--r+_binary64
distribute-rgt-out_binary64 associate--r-_binary64
unpow3_binary64 sub0-neg_binary64 associate-+l-_binary64
unpow1/2_binary64 +-rgt-identity_binary64 distribute-lft-out--_binary64
unpow2_binary64 unpow1_binary64 rem-exp-log_binary64 distribute-rgt-out--_binary64
rem-3cbrt-lft_binary64 --rgt-identity_binary64 distribute-rgt1-in_binary64 associate-/l*_binary64
rec-exp_binary64 prod-exp_binary64 distribute-frac-neg_binary64 count-2_binary64 associate--l+_binary64
1-exp_binary64 exp-1-e_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 mul-1-neg_binary64 distribute-neg-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 pow-base-1_binary64 unpow0_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-cbrt_binary64 exp-sqrt_binary64 div-exp_binary64 e-exp-1_binary64 exp-0_binary64 rem-log-exp_binary64 cube-div_binary64 cube-neg_binary64 rem-3cbrt-rft_binary64 sqr-abs_binary64 sqr-neg_binary64 rem-square-sqrt_binary64 times-frac_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-lft1-in_binary64 associate-/l/_binary64 associate-/r/_binary64 associate-*l/_binary64 associate-*r/_binary64 associate--l-_binary64
Counts
75 → 51
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01151048
12671019
2829937
31805757
44646757
54925757

prune32.0ms (0.8%)

Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New49251
Fresh077
Picked011
Done011
Total491160
Error
0.1b
Counts
60 → 11
Compiler

Compiled 770 to 221 computations (71.3% saved)

regimes577.0ms (14.2%)

Accuracy

Total 0.0b remaining (34.8%)

Threshold costs 0.0b (34.8%)

Compiler

Compiled 8104 to 5354 computations (33.9% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

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
0914
11214
21214

end1.0ms (0%)

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample1.8s (43.7%)

Algorithm
intervals
Results
582.0ms2016×body1024valid
336.0ms4513×body128valid
198.0ms948×body512valid
72.0ms521×body256valid
1.0msbody2048valid
Compiler

Compiled 273 to 197 computations (27.8% saved)

Profiling

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