Details

Time bar (total: 3.8s)

analyze379.0ms (9.9%)

Algorithm
search
egg-herbie
Rules
20×+-commutative_binary64
12×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 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
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02256
14256
26656
36656
46656
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
12.5%87.4%0.1%6
34.3%65.5%0.1%7
46.8%53%0.1%8
48%51.9%0.1%9
63%36.9%0.1%10
71.7%28.2%0.1%11
72%27.8%0.1%12
80.5%19.4%0.1%13
85.4%14.5%0.1%14
Compiler

Compiled 10 to 9 computations (10% saved)

sample39.0ms (1%)

Algorithm
intervals
Results
12.0ms190×body128valid
10.0ms37×body1024valid
4.0ms18×body512valid
2.0ms11×body256valid
Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify9.0ms (0.2%)

Algorithm
egg-herbie
Rules
+-commutative_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 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
Counts
1 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0914
11414
22014
32014
42014

prune1.0ms (0%)

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 4 expressions with local error:

0.0b
(+.f64 x (sin.f64 y))
0.0b
(sin.f64 y)
0.0b
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
0.1b
(*.f64 z (cos.f64 y))

rewrite67.0ms (1.8%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
11×add-log-exp_binary64
add-sqr-sqrt_binary64 *-un-lft-identity_binary64
pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 add-cube-cbrt_binary64
sum-log_binary64
associate-*l*_binary64 associate-*r*_binary64
flip3-+_binary64 flip-+_binary64 +-commutative_binary64
pow-prod-down_binary64 prod-exp_binary64 cbrt-unprod_binary64 unswap-sqr_binary64 *-commutative_binary64 associate-+l+_binary64 distribute-lft-out_binary64
Counts
4 → 50
Calls

4 calls:

6.0ms
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
5.0ms
(*.f64 z (cos.f64 y))
3.0ms
(+.f64 x (sin.f64 y))
1.0ms
(sin.f64 y)
Compiler

Compiled 737 to 179 computations (75.7% saved)

series100.0ms (2.6%)

Error
0.1b
Counts
4 → 40
Calls

4 calls:

39.0ms
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
19.0ms
(*.f64 z (cos.f64 y))
17.0ms
(+.f64 x (sin.f64 y))
7.0ms
(sin.f64 y)
Compiler

Compiled 724 to 574 computations (20.7% saved)

simplify102.0ms (2.7%)

Algorithm
egg-herbie
Rules
552×sub-neg_binary64
344×+-commutative_binary64
299×distribute-rgt-neg-in_binary64
285×distribute-rgt-in_binary64
279×neg-mul-1_binary64
265×associate-*l*_binary64
261×distribute-lft-in_binary64
241×distribute-lft-neg-in_binary64
228×neg-sub0_binary64
223×associate-*r*_binary64
160×associate-+l-_binary64
152×associate--l+_binary64
150×cancel-sign-sub-inv_binary64
125×associate--r+_binary64
117×associate-+l+_binary64
115×*-commutative_binary64
110×distribute-neg-in_binary64
105×distribute-rgt-out_binary64
100×unsub-neg_binary64
91×associate-+r-_binary64
88×unswap-sqr_binary64
85×associate-+r+_binary64
75×sqr-pow_binary64
65×sub0-neg_binary64
51×distribute-lft-neg-out_binary64
42×distribute-rgt-out--_binary64
38×+-rgt-identity_binary64
34×distribute-lft-out_binary64
32×distribute-rgt-neg-out_binary64
29×*-lft-identity_binary64
28×cancel-sign-sub_binary64
27×*-rgt-identity_binary64
26×exp-prod_binary64 cube-prod_binary64
20×unpow3_binary64
19×cube-unmult_binary64
18×distribute-neg-out_binary64
17×log-prod_binary64
14×swap-sqr_binary64
13×exp-sum_binary64 distribute-lft-out--_binary64
12×pow-sqr_binary64
10×pow-plus_binary64 rem-sqrt-square_binary64
associate--r-_binary64
difference-of-squares_binary64
exp-diff_binary64
remove-double-neg_binary64 associate--l-_binary64
unpow1/2_binary64 prod-exp_binary64 cube-mult_binary64
cube-neg_binary64 div-sub_binary64 distribute-rgt1-in_binary64
--rgt-identity_binary64 associate-/l*_binary64
unpow2_binary64 unpow1_binary64 1-exp_binary64 exp-1-e_binary64 sqr-neg_binary64 count-2_binary64 associate-/l/_binary64 associate-*r/_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 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 exp-neg_binary64 e-exp-1_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-div_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 rem-square-sqrt_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 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-lft1-in_binary64 associate-/r/_binary64 associate-/r*_binary64 associate-*l/_binary64
Counts
90 → 52
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0101949
1267920
2743917
32323917
43563917
54702917
64995917

prune33.0ms (0.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New48452
Fresh000
Picked011
Done000
Total48553
Error
0.0b
Counts
53 → 5
Compiler

Compiled 568 to 177 computations (68.8% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite90.0ms (2.3%)

Algorithm
rewrite-expression-head
Error
0.0b
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:

6.0ms
(*.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)

series78.0ms (2%)

Error
0.0b
Counts
4 → 12
Calls

4 calls:

20.0ms
(*.f64 (cbrt.f64 z) (cbrt.f64 z))
18.0ms
(cbrt.f64 z)
16.0ms
(cbrt.f64 z)
16.0ms
(cbrt.f64 z)
Compiler

Compiled 596 to 429 computations (28% saved)

simplify99.0ms (2.6%)

Algorithm
egg-herbie
Rules
586×log-prod_binary64
419×sqr-pow_binary64
335×associate-*l*_binary64
309×*-commutative_binary64
283×distribute-rgt-neg-in_binary64
262×distribute-lft-neg-in_binary64
227×associate-*r*_binary64
188×exp-prod_binary64
161×log-pow_binary64
153×cube-prod_binary64
131×swap-sqr_binary64
129×pow-sqr_binary64
124×unswap-sqr_binary64
106×associate-/l*_binary64
86×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
55×neg-sub0_binary64
54×neg-mul-1_binary64
48×distribute-rgt-out_binary64
45×+-commutative_binary64
43×pow-plus_binary64 rem-sqrt-square_binary64
42×times-frac_binary64
41×sub-neg_binary64
40×associate-/r/_binary64
37×associate-*r/_binary64
35×associate-/l/_binary64
32×unpow3_binary64
31×*-rgt-identity_binary64 *-lft-identity_binary64
29×count-2_binary64
27×cube-mult_binary64
24×associate-/r*_binary64
17×log-div_binary64 cube-div_binary64 distribute-neg-frac_binary64 distribute-rgt-neg-out_binary64
13×cube-unmult_binary64 distribute-rgt1-in_binary64
10×unpow1/2_binary64
distribute-lft-neg-out_binary64 distribute-lft1-in_binary64 associate-*l/_binary64
unpow2_binary64
unpow1_binary64
unpow1/3_binary64 mul-1-neg_binary64
exp-sqrt_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_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
056700
197612
2308592
31135578
42034548
53259548
64941548
74873548

prune25.0ms (0.7%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New49150
Fresh033
Picked011
Done011
Total49655
Error
0.0b
Counts
55 → 6
Compiler

Compiled 563 to 212 computations (62.3% saved)

localize18.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.5b
(*.f64 (cbrt.f64 z) (cbrt.f64 z))
0.6b
(cbrt.f64 (cbrt.f64 z))
0.6b
(cbrt.f64 (*.f64 (cbrt.f64 z) (cbrt.f64 z)))
0.9b
(pow.f64 (cbrt.f64 (cbrt.f64 z)) 4)

rewrite137.0ms (3.6%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
35×cbrt-prod_binary64
26×add-sqr-sqrt_binary64
18×add-cube-cbrt_binary64 *-un-lft-identity_binary64
12×pow1_binary64
unpow-prod-down_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-unpow_binary64
pow-pow_binary64 pow-prod-down_binary64 pow-prod-up_binary64 pow-sqr_binary64
pow-to-exp_binary64 pow-exp_binary64 sqr-pow_binary64 pow2_binary64 pow-plus_binary64 prod-exp_binary64 cbrt-unprod_binary64 *-commutative_binary64
Counts
4 → 87
Calls

4 calls:

8.0ms
(*.f64 (cbrt.f64 z) (cbrt.f64 z))
4.0ms
(cbrt.f64 (*.f64 (cbrt.f64 z) (cbrt.f64 z)))
4.0ms
(pow.f64 (cbrt.f64 (cbrt.f64 z)) 4)
1.0ms
(cbrt.f64 (cbrt.f64 z))
Compiler

Compiled 2264 to 661 computations (70.8% saved)

series111.0ms (2.9%)

Error
0.0b
Counts
4 → 12
Calls

4 calls:

31.0ms
(pow.f64 (cbrt.f64 (cbrt.f64 z)) 4)
25.0ms
(cbrt.f64 (*.f64 (cbrt.f64 z) (cbrt.f64 z)))
23.0ms
(cbrt.f64 (cbrt.f64 z))
20.0ms
(*.f64 (cbrt.f64 z) (cbrt.f64 z))
Compiler

Compiled 806 to 581 computations (27.9% saved)

simplify101.0ms (2.6%)

Algorithm
egg-herbie
Rules
382×log-prod_binary64
345×sqr-pow_binary64
267×cube-prod_binary64
225×*-commutative_binary64
188×exp-prod_binary64 distribute-rgt-neg-in_binary64
187×associate-/l*_binary64
180×swap-sqr_binary64
179×distribute-lft-neg-in_binary64
168×distribute-rgt-in_binary64
167×unswap-sqr_binary64
139×distribute-lft-in_binary64
118×pow-sqr_binary64
113×associate-+l+_binary64
108×associate-/l/_binary64
96×log-pow_binary64
92×associate-+r+_binary64
86×associate-/r/_binary64
78×associate-*r*_binary64
76×associate-/r*_binary64 associate-*l*_binary64 +-commutative_binary64
70×associate-*r/_binary64
64×unpow3_binary64
59×pow-plus_binary64 cube-mult_binary64
50×distribute-rgt-out_binary64
44×cancel-sign-sub-inv_binary64
41×rem-sqrt-square_binary64
37×neg-sub0_binary64
36×neg-mul-1_binary64
35×distribute-lft-out_binary64
23×log-div_binary64 cube-div_binary64
22×times-frac_binary64
20×unpow1/2_binary64
17×unpow2_binary64 cube-unmult_binary64 associate-*l/_binary64
15×unpow1_binary64
14×sub-neg_binary64 count-2_binary64
*-rgt-identity_binary64
*-lft-identity_binary64
unpow1/3_binary64
rem-3cbrt-lft_binary64 distribute-rgt1-in_binary64
exp-sqrt_binary64 rem-3cbrt-rft_binary64 rem-cbrt-cube_binary64 mul-1-neg_binary64 distribute-rgt-neg-out_binary64 distribute-lft1-in_binary64
exp-lft-sqr_binary64 1-exp_binary64 exp-1-e_binary64 rem-square-sqrt_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 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-neg-in_binary64 distribute-lft-neg-out_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
99 → 60
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01101032
1200965
2573944
31158943
42137937
54287937
64797937

prune50.0ms (1.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New59160
Fresh033
Picked101
Done022
Total60666
Error
0.0b
Counts
66 → 6
Compiler

Compiled 1080 to 400 computations (63% saved)

localize25.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 (cbrt.f64 (cbrt.f64 z)))
0.6b
(cbrt.f64 (*.f64 (cbrt.f64 z) (cbrt.f64 z)))
0.6b
(cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2))
0.9b
(pow.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2)) (cbrt.f64 (cbrt.f64 (cbrt.f64 z)))) 4)

rewrite118.0ms (3.1%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
43×cbrt-prod_binary64
12×add-cube-cbrt_binary64 add-sqr-sqrt_binary64 *-un-lft-identity_binary64
10×unpow-prod-down_binary64
pow1_binary64 add-exp-log_binary64
pow1/3_binary64
pow-pow_binary64 add-log-exp_binary64 add-cbrt-cube_binary64
pow-unpow_binary64
unpow2_binary64 pow-prod-down_binary64 pow-exp_binary64 sqr-pow_binary64
pow3_binary64 pow-to-exp_binary64 prod-exp_binary64
Counts
4 → 67
Calls

4 calls:

10.0ms
(pow.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2)) (cbrt.f64 (cbrt.f64 (cbrt.f64 z)))) 4)
6.0ms
(cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2))
4.0ms
(cbrt.f64 (*.f64 (cbrt.f64 z) (cbrt.f64 z)))
2.0ms
(cbrt.f64 (cbrt.f64 (cbrt.f64 z)))
Compiler

Compiled 2467 to 845 computations (65.7% saved)

series120.0ms (3.1%)

Error
0.0b
Counts
4 → 12
Calls

4 calls:

30.0ms
(pow.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2)) (cbrt.f64 (cbrt.f64 (cbrt.f64 z)))) 4)
28.0ms
(cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2))
27.0ms
(cbrt.f64 (*.f64 (cbrt.f64 z) (cbrt.f64 z)))
22.0ms
(cbrt.f64 (cbrt.f64 (cbrt.f64 z)))
Compiler

Compiled 988 to 682 computations (31% saved)

simplify150.0ms (3.9%)

Algorithm
egg-herbie
Rules
534×*-commutative_binary64
400×associate-+l+_binary64
386×log-prod_binary64
383×exp-prod_binary64
324×sqr-pow_binary64
313×cube-prod_binary64
286×associate-+r+_binary64
233×swap-sqr_binary64
226×distribute-rgt-in_binary64
224×pow-sqr_binary64
209×associate-*l*_binary64
199×associate-*r*_binary64
189×associate-/l*_binary64
178×distribute-lft-in_binary64
151×log-pow_binary64
128×unpow3_binary64
108×pow-plus_binary64
78×unswap-sqr_binary64
72×cube-mult_binary64
71×associate-/r*_binary64
65×times-frac_binary64
37×associate-/l/_binary64
36×distribute-rgt-out_binary64
34×rem-sqrt-square_binary64
33×*-rgt-identity_binary64
31×cube-unmult_binary64
27×*-lft-identity_binary64 associate-*r/_binary64
23×associate-/r/_binary64
21×distribute-lft-out_binary64
16×count-2_binary64
15×unpow2_binary64
13×unpow1/2_binary64 unpow1_binary64
neg-sub0_binary64 sub-neg_binary64
neg-mul-1_binary64 distribute-rgt-neg-in_binary64 distribute-lft-neg-in_binary64 associate-*l/_binary64
rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 mul-1-neg_binary64 /-rgt-identity_binary64 distribute-rgt1-in_binary64
unpow1/3_binary64 +-commutative_binary64
1-exp_binary64 rem-square-sqrt_binary64 sub0-neg_binary64 --rgt-identity_binary64 cancel-sign-sub-inv_binary64 associate-+l-_binary64
not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 log-rec_binary64 log-div_binary64 pow-base-0_binary64 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-div_binary64 cube-neg_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 sqr-neg_binary64 div-sub_binary64 unsub-neg_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-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-lft1-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
79 → 49
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
01261272
12081200
23851200
31267955
41827944
54226928
64851928
74933928
84885928

prune44.0ms (1.2%)

Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New48149
Fresh033
Picked011
Done022
Total48755
Error
0.0b
Counts
55 → 7
Compiler

Compiled 1112 to 392 computations (64.7% saved)

regimes491.0ms (12.9%)

Accuracy

Total 0.0b remaining (49.3%)

Threshold costs 0.0b (49.3%)

Compiler

Compiled 6272 to 4489 computations (28.4% 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)

sample1.4s (36.8%)

Algorithm
intervals
Results
383.0ms5737×body128valid
347.0ms1250×body1024valid
138.0ms671×body512valid
46.0ms340×body256valid
1.0msbody2048valid
Compiler

Compiled 157 to 128 computations (18.5% saved)

Profiling

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