Details

Time bar (total: 1.7s)

analyze28.0ms (1.6%)

Algorithm
search
egg-herbie
Rules
sub-neg_binary64 +-commutative_binary64
div-sub_binary64 associate-/r/_binary64 associate-/l*_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 neg-mul-1_binary64 neg-sub0_binary64 unsub-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--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
0710
11410
22010
32310
42410
52110
011
111
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%0%3
75%25%0%4
75%12.5%12.5%5
75%6.2%18.8%6
75%3.1%21.9%7
75%1.6%23.5%8
75%0.8%24.3%9
75%0.4%24.6%10
75%0.2%24.8%11
75%0.1%24.9%12
75%0%25%13
75%0%25%14
Compiler

Compiled 8 to 7 computations (12.5% saved)

sample13.0ms (0.7%)

Algorithm
intervals
Results
6.0ms256×body128valid
Compiler

Compiled 15 to 14 computations (6.7% saved)

simplify9.0ms (0.5%)

Algorithm
egg-herbie
Rules
sub-neg_binary64 +-commutative_binary64
div-sub_binary64 associate-/r/_binary64 associate-/l*_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 neg-mul-1_binary64 neg-sub0_binary64 unsub-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--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
0710
11410
22010
32310
42410
52110

prune1.0ms (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 7 to 6 computations (14.3% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.1b
(/.f64 (-.f64 (*.f64 x x) 3) 6)

rewrite46.0ms (2.7%)

Algorithm
rewrite-expression-head
Error
0b
Rules
14×add-sqr-sqrt_binary64
12×times-frac_binary64
10×add-cube-cbrt_binary64 *-un-lft-identity_binary64
difference-of-squares_binary64 associate-/l*_binary64
add-exp-log_binary64 add-cbrt-cube_binary64 associate-/r*_binary64
associate-/l/_binary64
pow1_binary64 div-exp_binary64 add-log-exp_binary64 cbrt-undiv_binary64 frac-2neg_binary64 div-sub_binary64 clear-num_binary64 div-inv_binary64 flip3--_binary64 flip--_binary64
Counts
1 → 34
Calls

1 calls:

7.0ms
(/.f64 (-.f64 (*.f64 x x) 3) 6)
Compiler

Compiled 526 to 360 computations (31.6% saved)

series16.0ms (0.9%)

Error
0.1b
Counts
1 → 6
Calls

1 calls:

12.0ms
(/.f64 (-.f64 (*.f64 x x) 3) 6)
Compiler

Compiled 66 to 66 computations (0% saved)

simplify78.0ms (4.5%)

Algorithm
egg-herbie
Rules
794×distribute-rgt-in_binary64
262×associate-*l*_binary64
252×associate-/l*_binary64
222×div-sub_binary64
197×associate-*r*_binary64
194×associate-*l/_binary64
170×distribute-rgt-out_binary64
149×associate-*r/_binary64
147×associate-/l/_binary64
144×distribute-lft-in_binary64
124×*-commutative_binary64
117×unswap-sqr_binary64
113×times-frac_binary64
112×sub-neg_binary64
107×associate-/r/_binary64
105×associate-/r*_binary64
85×distribute-lft-out_binary64
74×cancel-sign-sub-inv_binary64
73×exp-prod_binary64
28×+-commutative_binary64
27×swap-sqr_binary64 associate-+l+_binary64
24×neg-mul-1_binary64 distribute-rgt-neg-in_binary64
23×associate-+r+_binary64
22×neg-sub0_binary64 /-rgt-identity_binary64 distribute-lft-neg-in_binary64
21×sqr-pow_binary64
20×distribute-neg-frac_binary64
18×exp-sum_binary64
16×pow-plus_binary64 distribute-neg-in_binary64 associate-+l-_binary64
14×associate--l-_binary64
*-lft-identity_binary64 sub0-neg_binary64 +-rgt-identity_binary64 associate-+r-_binary64
cube-unmult_binary64 associate--l+_binary64
unpow3_binary64 cube-prod_binary64 *-rgt-identity_binary64 associate--r+_binary64
--rgt-identity_binary64 pow-sqr_binary64 associate--r-_binary64
log-div_binary64 exp-diff_binary64 cube-div_binary64 unsub-neg_binary64 div0_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-lft-neg-out_binary64 distribute-rgt-out--_binary64
unpow2_binary64 unpow1/2_binary64 unpow1_binary64 1-exp_binary64 rem-sqrt-square_binary64 remove-double-neg_binary64 distribute-rgt-neg-out_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 count-2_binary64
not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 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-prod_binary64 pow-base-0_binary64 unpow1/3_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 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 cube-mult_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 +-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-lft-out--_binary64
Counts
40 → 21
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
084667
1179619
2362617
3786617
42511617
54903617
64883617

prune19.0ms (1.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New17421
Fresh000
Picked011
Done000
Total17522
Error
0.0b
Counts
22 → 5
Compiler

Compiled 245 to 166 computations (32.2% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.3b
(*.f64 1/6 (*.f64 x x))

rewrite24.0ms (1.4%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
pow-prod-down_binary64 prod-exp_binary64 cbrt-unprod_binary64 add-sqr-sqrt_binary64 associate-*l*_binary64
add-cube-cbrt_binary64 *-un-lft-identity_binary64
add-log-exp_binary64 unswap-sqr_binary64 associate-*r*_binary64 *-commutative_binary64
Counts
1 → 19
Calls

1 calls:

6.0ms
(*.f64 1/6 (*.f64 x x))
Compiler

Compiled 204 to 133 computations (34.8% saved)

series11.0ms (0.6%)

Error
0.0b
Counts
1 → 3
Calls

1 calls:

7.0ms
(*.f64 1/6 (*.f64 x x))
Compiler

Compiled 49 to 49 computations (0% saved)

simplify100.0ms (5.8%)

Algorithm
egg-herbie
Rules
678×associate-/l/_binary64
559×associate-/r/_binary64
455×log-div_binary64
350×distribute-rgt-in_binary64
315×distribute-lft-in_binary64
209×*-commutative_binary64
208×log-prod_binary64
180×sqr-pow_binary64
165×associate-*l*_binary64
152×times-frac_binary64
122×unswap-sqr_binary64 associate-*r*_binary64
116×associate-+l+_binary64
114×associate-/l*_binary64
75×pow-sqr_binary64
73×associate-+r+_binary64
58×distribute-rgt-out_binary64
53×exp-prod_binary64
48×associate-/r*_binary64
43×cube-prod_binary64
39×log-pow_binary64
38×associate-*r/_binary64
26×distribute-lft-out_binary64
19×count-2_binary64 associate-*l/_binary64
18×unpow3_binary64
17×pow-plus_binary64 *-lft-identity_binary64
16×+-commutative_binary64
14×cube-mult_binary64
12×swap-sqr_binary64
10×*-rgt-identity_binary64
distribute-rgt1-in_binary64
cube-unmult_binary64
distribute-lft1-in_binary64
/-rgt-identity_binary64
unpow2_binary64
unpow1/2_binary64 unpow1_binary64 1-exp_binary64 rem-sqrt-square_binary64
not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 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 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-1-e_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-div_binary64 cube-neg_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 sqr-neg_binary64 rem-square-sqrt_binary64 div-sub_binary64 neg-mul-1_binary64 neg-sub0_binary64 unsub-neg_binary64 sub-neg_binary64 mul-1-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-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-rgt-out--_binary64 distribute-lft-out--_binary64 associate--r-_binary64 associate--l-_binary64 associate--l+_binary64 associate--r+_binary64 associate-+l-_binary64 associate-+r-_binary64
Counts
22 → 11
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
037225
174189
2173180
3415180
4623180
51001180
61908180
74646180
85000180
94999180
105390180

prune8.0ms (0.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New10111
Fresh123
Picked011
Done011
Total11516
Error
0.0b
Counts
16 → 5
Compiler

Compiled 92 to 77 computations (16.3% saved)

localize5.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b
(*.f64 x (sqrt.f64 1/6))
0.0b
(*.f64 x (sqrt.f64 1/6))
0.3b
(*.f64 (*.f64 x (sqrt.f64 1/6)) (*.f64 x (sqrt.f64 1/6)))

rewrite89.0ms (5.2%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
46×pow1_binary64
19×pow-prod-down_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
17×add-sqr-sqrt_binary64
13×associate-*r*_binary64
10×prod-exp_binary64 cbrt-unprod_binary64
add-cube-cbrt_binary64 *-un-lft-identity_binary64
sqrt-prod_binary64
associate-*l*_binary64
pow-prod-up_binary64 pow-sqr_binary64 unswap-sqr_binary64
add-log-exp_binary64 *-commutative_binary64
pow-plus_binary64
pow2_binary64 swap-sqr_binary64
Counts
3 → 78
Calls

3 calls:

9.0ms
(*.f64 (*.f64 x (sqrt.f64 1/6)) (*.f64 x (sqrt.f64 1/6)))
5.0ms
(*.f64 x (sqrt.f64 1/6))
5.0ms
(*.f64 x (sqrt.f64 1/6))
Compiler

Compiled 997 to 808 computations (19% saved)

series32.0ms (1.9%)

Error
0.0b
Counts
3 → 9
Calls

3 calls:

12.0ms
(*.f64 (*.f64 x (sqrt.f64 1/6)) (*.f64 x (sqrt.f64 1/6)))
8.0ms
(*.f64 x (sqrt.f64 1/6))
8.0ms
(*.f64 x (sqrt.f64 1/6))
Compiler

Compiled 213 to 199 computations (6.6% saved)

simplify75.0ms (4.4%)

Algorithm
egg-herbie
Rules
393×associate-/l/_binary64
371×distribute-rgt-in_binary64
358×associate-/r/_binary64
351×associate-/l*_binary64
348×associate-*l/_binary64
315×distribute-lft-in_binary64
225×sqr-pow_binary64
219×*-commutative_binary64
144×associate-/r*_binary64
118×unswap-sqr_binary64
108×associate-*l*_binary64
93×associate-*r*_binary64
90×times-frac_binary64 pow-sqr_binary64
84×swap-sqr_binary64
80×exp-prod_binary64
76×distribute-lft-out_binary64
75×log-prod_binary64
65×cube-prod_binary64
63×associate-+l+_binary64
53×associate-+r+_binary64
51×+-commutative_binary64
39×associate-*r/_binary64
28×distribute-rgt-out_binary64
27×rem-sqrt-square_binary64
25×*-lft-identity_binary64
23×*-rgt-identity_binary64
15×unpow3_binary64
14×count-2_binary64
10×unpow1/2_binary64 pow-plus_binary64 cube-mult_binary64
log-pow_binary64 log-div_binary64 cube-div_binary64
cube-unmult_binary64 distribute-rgt1-in_binary64
unpow2_binary64 unpow1_binary64 distribute-lft1-in_binary64
exp-lft-sqr_binary64 exp-sqrt_binary64 1-exp_binary64 exp-1-e_binary64 rem-square-sqrt_binary64
not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 log-rec_binary64 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-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 div-sub_binary64 neg-mul-1_binary64 neg-sub0_binary64 unsub-neg_binary64 sub-neg_binary64 mul-1-neg_binary64 /-rgt-identity_binary64 remove-double-neg_binary64 sub0-neg_binary64 --rgt-identity_binary64 +-rgt-identity_binary64 +-lft-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64 div0_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 difference-of-squares_binary64 cancel-sign-sub-inv_binary64 cancel-sign-sub_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-neg-in_binary64 distribute-rgt-neg-out_binary64 distribute-lft-neg-out_binary64 distribute-rgt-neg-in_binary64 distribute-lft-neg-in_binary64 distribute-rgt-out--_binary64 distribute-lft-out--_binary64 associate--r-_binary64 associate--l-_binary64 associate--l+_binary64 associate--r+_binary64 associate-+l-_binary64 associate-+r-_binary64
Counts
87 → 49
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
060754
1122648
2393633
3648633
41165633
51838633
65012633

prune21.0ms (1.2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New49049
Fresh022
Picked011
Done022
Total49554
Error
0.0b
Counts
54 → 5
Compiler

Compiled 287 to 221 computations (23% saved)

localize7.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b
(/.f64 (-.f64 x (sqrt.f64 3)) 6)
0.0b
(-.f64 x (sqrt.f64 3))
0.0b
(+.f64 x (sqrt.f64 3))
0.7b
(*.f64 (+.f64 x (sqrt.f64 3)) (/.f64 (-.f64 x (sqrt.f64 3)) 6))

rewrite133.0ms (7.7%)

Algorithm
rewrite-expression-head
Error
0b
Rules
65×add-sqr-sqrt_binary64
48×*-un-lft-identity_binary64
37×times-frac_binary64
28×add-cube-cbrt_binary64
22×associate-*r*_binary64
16×difference-of-squares_binary64
11×add-exp-log_binary64 add-cbrt-cube_binary64 sqrt-prod_binary64
add-log-exp_binary64 distribute-lft-out--_binary64
pow1_binary64 cancel-sign-sub-inv_binary64 associate-/l*_binary64
associate-*l*_binary64
flip3-+_binary64 flip-+_binary64 associate-/r*_binary64
div-exp_binary64 prod-exp_binary64 cbrt-unprod_binary64 cbrt-undiv_binary64 frac-times_binary64 unswap-sqr_binary64 associate-*l/_binary64 distribute-lft-out_binary64 div-inv_binary64 flip3--_binary64 flip--_binary64 associate-/l/_binary64
pow-prod-down_binary64 associate-*r/_binary64 *-commutative_binary64 sum-log_binary64 +-commutative_binary64 diff-log_binary64 sub-neg_binary64 frac-2neg_binary64 div-sub_binary64 clear-num_binary64
Counts
4 → 120
Calls

4 calls:

16.0ms
(*.f64 (+.f64 x (sqrt.f64 3)) (/.f64 (-.f64 x (sqrt.f64 3)) 6))
10.0ms
(/.f64 (-.f64 x (sqrt.f64 3)) 6)
4.0ms
(-.f64 x (sqrt.f64 3))
4.0ms
(+.f64 x (sqrt.f64 3))
Compiler

Compiled 1971 to 1652 computations (16.2% saved)

series63.0ms (3.7%)

Error
0.0b
Counts
4 → 24
Calls

4 calls:

21.0ms
(*.f64 (+.f64 x (sqrt.f64 3)) (/.f64 (-.f64 x (sqrt.f64 3)) 6))
15.0ms
(/.f64 (-.f64 x (sqrt.f64 3)) 6)
10.0ms
(-.f64 x (sqrt.f64 3))
9.0ms
(+.f64 x (sqrt.f64 3))
Compiler

Compiled 475 to 438 computations (7.8% saved)

simplify142.0ms (8.2%)

Algorithm
egg-herbie
Rules
859×div-sub_binary64
503×distribute-rgt-in_binary64
475×distribute-lft-in_binary64
331×associate-*l/_binary64
302×associate-*r/_binary64
274×*-commutative_binary64
216×associate-/l*_binary64
143×unswap-sqr_binary64
136×exp-prod_binary64
93×sub-neg_binary64
92×*-lft-identity_binary64
91×exp-sum_binary64
89×*-rgt-identity_binary64 associate-*l*_binary64
86×times-frac_binary64
83×associate-/l/_binary64
76×cube-prod_binary64
74×associate-*r*_binary64
65×cancel-sign-sub-inv_binary64
62×unsub-neg_binary64
56×sqr-pow_binary64
54×associate-/r*_binary64
50×neg-mul-1_binary64
48×neg-sub0_binary64
47×associate-/r/_binary64
40×exp-diff_binary64 +-commutative_binary64
36×log-prod_binary64 cube-div_binary64
30×log-div_binary64 associate-+l+_binary64
27×unpow3_binary64
24×/-rgt-identity_binary64 swap-sqr_binary64
22×cube-mult_binary64
20×associate-+r+_binary64
19×distribute-rgt-neg-in_binary64
16×difference-of-squares_binary64 distribute-lft-neg-out_binary64
13×mul0-rgt_binary64 mul0-lft_binary64 distribute-lft-neg-in_binary64 associate-+l-_binary64
12×distribute-rgt-neg-out_binary64 associate-+r-_binary64
11×distribute-neg-frac_binary64
cube-unmult_binary64
+-rgt-identity_binary64
rem-sqrt-square_binary64
log-rec_binary64 cube-neg_binary64 sqr-neg_binary64 pow-sqr_binary64
sub0-neg_binary64
unpow1/2_binary64 pow-plus_binary64 remove-double-neg_binary64 distribute-rgt-out_binary64 associate--r+_binary64
remove-double-div_binary64 distribute-neg-in_binary64 associate--l-_binary64
unpow2_binary64 unpow1_binary64 rem-square-sqrt_binary64 distribute-rgt-out--_binary64 distribute-lft-out--_binary64 associate--r-_binary64 associate--l+_binary64
div-exp_binary64 prod-exp_binary64 1-exp_binary64 exp-1-e_binary64 rem-3cbrt-lft_binary64 --rgt-identity_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 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 rec-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-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 mul-1-neg_binary64 +-lft-identity_binary64 div0_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 cancel-sign-sub_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 distribute-lft-out_binary64 count-2_binary64
Counts
144 → 93
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01632151
13912018
212162010
336662010
445712010
562022010

prune56.0ms (3.3%)

Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New92193
Fresh011
Picked011
Done033
Total92698
Error
0b
Counts
98 → 6
Compiler

Compiled 1110 to 901 computations (18.8% saved)

regimes246.0ms (14.3%)

Accuracy

Total 0.1b remaining (96%)

Threshold costs 0.1b (96%)

Compiler

Compiled 3045 to 2469 computations (18.9% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.2%)

Algorithm
egg-herbie
Rules
sub-neg_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 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
0910
11210
21310
31110

end1.0ms (0%)

Compiler

Compiled 7 to 6 computations (14.3% saved)

sample489.0ms (28.4%)

Algorithm
intervals
Results
185.0ms8000×body128valid
Compiler

Compiled 81 to 75 computations (7.4% saved)

Profiling

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