Details

Time bar (total: 2.1s)

analyze80.0ms (3.8%)

Algorithm
search
egg-herbie
Rules
24×distribute-rgt-in_binary64
22×distribute-lft-in_binary64
16×*-commutative_binary64
14×associate-*l*_binary64
12×associate-*r*_binary64
+-commutative_binary64
sub-neg_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 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 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
01420
12620
24520
38520
48720
57520
022
122
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
25%74.9%0.1%5
50%50%0.1%6
62.4%31.2%6.3%7
71.8%21.9%6.3%8
76.5%14%9.5%9
80.4%10.1%9.5%10
82.3%6.6%11%11
84.1%4.9%11%12
85%3.2%11.8%13
85.8%2.4%11.8%14
Compiler

Compiled 10 to 10 computations (0% saved)

sample16.0ms (0.7%)

Algorithm
intervals
Results
7.0ms256×body128valid
0.0msbody128invalid
Compiler

Compiled 19 to 21 computations (-10.5% saved)

simplify10.0ms (0.5%)

Algorithm
egg-herbie
Rules
13×distribute-rgt-in_binary64 distribute-lft-in_binary64
10×*-commutative_binary64
associate-*l*_binary64
associate-*r*_binary64
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 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 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 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 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01110
11810
23210
35410
45610
54810

prune3.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112
Error
0.5b
Counts
2 → 1
Compiler

Compiled 14 to 14 computations (0% saved)

localize5.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(-.f64 x 4/29)
0.0b
(*.f64 (-.f64 x 4/29) 3)
0.4b
(*.f64 (*.f64 (-.f64 x 4/29) 3) y)

rewrite72.0ms (3.4%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
13×add-sqr-sqrt_binary64
11×*-un-lft-identity_binary64
10×pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
add-cube-cbrt_binary64
associate-*l/_binary64 associate-*l*_binary64 associate-*r*_binary64
add-log-exp_binary64
pow-prod-down_binary64 prod-exp_binary64 cbrt-unprod_binary64
flip3--_binary64 flip--_binary64 cancel-sign-sub-inv_binary64
*-commutative_binary64 difference-of-squares_binary64 distribute-lft-out--_binary64
unswap-sqr_binary64 diff-log_binary64 sub-neg_binary64
Counts
3 → 58
Calls

3 calls:

8.0ms
(*.f64 (*.f64 (-.f64 x 4/29) 3) y)
6.0ms
(*.f64 (-.f64 x 4/29) 3)
3.0ms
(-.f64 x 4/29)
Compiler

Compiled 714 to 544 computations (23.8% saved)

series52.0ms (2.4%)

Error
0.1b
Counts
3 → 21
Calls

3 calls:

23.0ms
(*.f64 (*.f64 (-.f64 x 4/29) 3) y)
9.0ms
(*.f64 (-.f64 x 4/29) 3)
7.0ms
(-.f64 x 4/29)
Compiler

Compiled 281 to 260 computations (7.5% saved)

simplify108.0ms (5.1%)

Algorithm
egg-herbie
Rules
448×unswap-sqr_binary64
383×*-commutative_binary64
268×associate-+l+_binary64
225×sqr-pow_binary64
195×distribute-rgt-in_binary64 distribute-lft-in_binary64
157×associate-+r+_binary64
155×times-frac_binary64
135×associate-*l*_binary64
132×prod-exp_binary64
124×exp-prod_binary64
105×div-exp_binary64
96×neg-mul-1_binary64
94×associate-*r*_binary64
92×neg-sub0_binary64
88×pow-sqr_binary64
82×associate-/l*_binary64
81×exp-sum_binary64
75×sub-neg_binary64 +-commutative_binary64
50×div-sub_binary64
48×cube-prod_binary64
42×distribute-lft-neg-out_binary64
41×unsub-neg_binary64
40×cancel-sign-sub-inv_binary64 distribute-neg-out_binary64 distribute-rgt-neg-in_binary64
39×log-prod_binary64 rem-sqrt-square_binary64
38×unpow3_binary64
36×distribute-rgt-neg-out_binary64
35×associate-/r*_binary64
33×associate-*r/_binary64
31×*-lft-identity_binary64 swap-sqr_binary64
27×*-rgt-identity_binary64 distribute-lft-neg-in_binary64
25×associate-/l/_binary64
21×associate-*l/_binary64
19×distribute-rgt-out_binary64
18×associate-/r/_binary64
16×associate-+l-_binary64
14×exp-diff_binary64
13×unpow1/2_binary64 cube-unmult_binary64
12×distribute-neg-in_binary64
11×cube-mult_binary64 remove-double-neg_binary64
10×pow-plus_binary64 associate-+r-_binary64
exp-lft-cube_binary64
sub0-neg_binary64 associate--r+_binary64
--rgt-identity_binary64 +-rgt-identity_binary64 distribute-rgt1-in_binary64
log-div_binary64 exp-neg_binary64
cube-neg_binary64 sqr-neg_binary64 +-lft-identity_binary64 distribute-frac-neg_binary64 distribute-lft-out_binary64
rec-exp_binary64 /-rgt-identity_binary64 distribute-lft1-in_binary64 distribute-rgt-out--_binary64
log-rec_binary64 exp-sqrt_binary64 1-exp_binary64 exp-1-e_binary64 cube-div_binary64 rem-3cbrt-lft_binary64 rem-square-sqrt_binary64 count-2_binary64 associate--r-_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-pow_binary64 pow-base-0_binary64 unpow1/3_binary64 unpow2_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow1_binary64 unpow-1_binary64 exp-lft-sqr_binary64 exp-cbrt_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 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-lft-out--_binary64 associate--l-_binary64
Counts
79 → 52
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0107794
1223683
2651680
31486680
41856680
53004680
64828680
74983680

prune39.0ms (1.9%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New45752
Fresh000
Picked011
Done000
Total45853
Error
0.0b
Counts
53 → 8
Compiler

Compiled 491 to 379 computations (22.8% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(-.f64 x 4/29)
0.3b
(*.f64 (-.f64 x 4/29) (*.f64 y 3))

rewrite46.0ms (2.2%)

Algorithm
rewrite-expression-head
Error
0b
Rules
add-sqr-sqrt_binary64 *-un-lft-identity_binary64
pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
associate-*l*_binary64
add-log-exp_binary64 add-cube-cbrt_binary64
pow-prod-down_binary64 prod-exp_binary64 cbrt-unprod_binary64 cancel-sign-sub-inv_binary64
flip3--_binary64 associate-*l/_binary64 flip--_binary64 difference-of-squares_binary64 distribute-lft-out--_binary64
associate-*r*_binary64 *-commutative_binary64 diff-log_binary64 sub-neg_binary64
Counts
2 → 38
Calls

2 calls:

7.0ms
(*.f64 (-.f64 x 4/29) (*.f64 y 3))
3.0ms
(-.f64 x 4/29)
Compiler

Compiled 461 to 353 computations (23.4% saved)

series33.0ms (1.5%)

Error
0.0b
Counts
2 → 15
Calls

2 calls:

20.0ms
(*.f64 (-.f64 x 4/29) (*.f64 y 3))
7.0ms
(-.f64 x 4/29)
Compiler

Compiled 214 to 196 computations (8.4% saved)

simplify107.0ms (5.1%)

Algorithm
egg-herbie
Rules
540×associate-*l*_binary64
397×associate-*r*_binary64
338×distribute-rgt-neg-out_binary64
208×unswap-sqr_binary64
167×distribute-rgt-in_binary64
160×distribute-lft-in_binary64
152×neg-mul-1_binary64
151×neg-sub0_binary64 sqr-pow_binary64
140×unsub-neg_binary64
114×*-commutative_binary64
107×+-commutative_binary64
100×distribute-neg-out_binary64
99×associate-+r+_binary64
97×associate-+l+_binary64
73×sub-neg_binary64
69×distribute-lft-neg-out_binary64
68×distribute-neg-in_binary64
56×pow-sqr_binary64 distribute-rgt-out_binary64
52×times-frac_binary64
51×exp-prod_binary64
48×distribute-lft-out_binary64
43×cancel-sign-sub-inv_binary64
34×exp-sum_binary64
33×unpow3_binary64
31×distribute-rgt-neg-in_binary64
25×distribute-lft-neg-in_binary64
24×prod-exp_binary64
22×log-div_binary64 cube-prod_binary64
21×log-prod_binary64
20×swap-sqr_binary64
15×associate-/l/_binary64
13×associate-*r/_binary64
12×exp-diff_binary64
11×cube-unmult_binary64 div-sub_binary64 remove-double-neg_binary64 associate-/l*_binary64
10×cube-mult_binary64 sub0-neg_binary64 associate-+l-_binary64
exp-lft-cube_binary64
cube-div_binary64 --rgt-identity_binary64 associate--r+_binary64
distribute-neg-frac_binary64
associate-/r/_binary64 associate-+r-_binary64
+-rgt-identity_binary64
distribute-rgt-out--_binary64 associate-*l/_binary64
pow-plus_binary64 exp-sqrt_binary64 div-exp_binary64 1-exp_binary64 cube-neg_binary64 rem-3cbrt-lft_binary64 sqr-neg_binary64 rem-square-sqrt_binary64 mul-1-neg_binary64 +-lft-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64 distribute-frac-neg_binary64 count-2_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-pow_binary64 log-rec_binary64 pow-base-0_binary64 unpow1/3_binary64 unpow2_binary64 unpow1/2_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow1_binary64 unpow-1_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 rec-exp_binary64 exp-neg_binary64 e-exp-1_binary64 exp-1-e_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 rem-3cbrt-rft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 rem-sqrt-square_binary64 /-rgt-identity_binary64 *-rgt-identity_binary64 *-lft-identity_binary64 div0_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 difference-of-squares_binary64 cancel-sign-sub_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 distribute-lft-out--_binary64 associate-/r*_binary64 associate--r-_binary64 associate--l-_binary64
Counts
53 → 35
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
087558
1192465
2508462
31605462
42058462
52908462
64963462
74996462
84905462

prune21.0ms (1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New34135
Fresh336
Picked011
Done101
Total38543
Error
0.0b
Counts
43 → 5
Compiler

Compiled 305 to 238 computations (22% saved)

localize5.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(-.f64 x 4/29)
0.1b
(*.f64 y (-.f64 x 4/29))
0.3b
(*.f64 (*.f64 y (-.f64 x 4/29)) 3)

rewrite77.0ms (3.6%)

Algorithm
rewrite-expression-head
Error
0b
Rules
15×add-sqr-sqrt_binary64
13×*-un-lft-identity_binary64
10×pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
add-cube-cbrt_binary64 cancel-sign-sub-inv_binary64
associate-*r*_binary64
add-log-exp_binary64
pow-prod-down_binary64 prod-exp_binary64 cbrt-unprod_binary64 associate-*r/_binary64 associate-*l*_binary64 distribute-rgt-in_binary64 distribute-lft-in_binary64
flip3--_binary64 flip--_binary64 sub-neg_binary64
associate-*l/_binary64 *-commutative_binary64 difference-of-squares_binary64 distribute-lft-out--_binary64
unswap-sqr_binary64 diff-log_binary64
Counts
3 → 66
Calls

3 calls:

8.0ms
(*.f64 (*.f64 y (-.f64 x 4/29)) 3)
7.0ms
(*.f64 y (-.f64 x 4/29))
4.0ms
(-.f64 x 4/29)
Compiler

Compiled 820 to 610 computations (25.6% saved)

series54.0ms (2.5%)

Error
0.0b
Counts
3 → 24
Calls

3 calls:

22.0ms
(*.f64 (*.f64 y (-.f64 x 4/29)) 3)
17.0ms
(*.f64 y (-.f64 x 4/29))
7.0ms
(-.f64 x 4/29)
Compiler

Compiled 351 to 318 computations (9.4% saved)

simplify87.0ms (4.1%)

Algorithm
egg-herbie
Rules
414×distribute-rgt-neg-out_binary64
410×distribute-lft-neg-out_binary64
295×distribute-lft-in_binary64
293×distribute-rgt-in_binary64
265×*-commutative_binary64
192×exp-prod_binary64
151×associate-*l*_binary64
140×+-commutative_binary64
108×associate-*r*_binary64
105×unsub-neg_binary64
93×associate-+l+_binary64
86×associate-+r+_binary64
78×sqr-pow_binary64
69×neg-mul-1_binary64 neg-sub0_binary64
63×exp-sum_binary64 cube-prod_binary64
47×*-lft-identity_binary64
46×exp-neg_binary64 swap-sqr_binary64
42×distribute-rgt-neg-in_binary64
41×*-rgt-identity_binary64
37×exp-diff_binary64
36×distribute-lft-neg-in_binary64
34×unswap-sqr_binary64
33×pow-sqr_binary64
25×prod-exp_binary64 sub-neg_binary64
23×log-prod_binary64
21×cancel-sign-sub-inv_binary64
19×unpow3_binary64
16×associate-*r/_binary64
14×cube-mult_binary64 associate-*l/_binary64
13×associate-/l*_binary64
11×div-exp_binary64 associate-+l-_binary64
10×cube-div_binary64 sqr-neg_binary64
exp-lft-cube_binary64 cube-unmult_binary64
div-sub_binary64 distribute-rgt-out--_binary64
unpow1/2_binary64 associate-+r-_binary64
pow-plus_binary64 distribute-rgt-out_binary64
sub0-neg_binary64 +-rgt-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64
associate-/l/_binary64 associate--r+_binary64
1-exp_binary64 exp-1-e_binary64 rem-3cbrt-lft_binary64 rem-square-sqrt_binary64 distribute-rgt1-in_binary64 count-2_binary64 associate-/r/_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 unpow2_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow1_binary64 unpow-1_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 rec-exp_binary64 e-exp-1_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-neg_binary64 rem-3cbrt-rft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 rem-sqrt-square_binary64 times-frac_binary64 mul-1-neg_binary64 /-rgt-identity_binary64 remove-double-neg_binary64 --rgt-identity_binary64 +-lft-identity_binary64 div0_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 difference-of-squares_binary64 cancel-sign-sub_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-neg-in_binary64 distribute-lft1-in_binary64 distribute-lft-out--_binary64 distribute-lft-out_binary64 associate--r-_binary64 associate--l-_binary64 associate--l+_binary64
Counts
90 → 59
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0115861
1247768
2766765
31999765
44691765
54924765

prune24.0ms (1.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New58159
Fresh123
Picked011
Done011
Total59564
Error
0.0b
Counts
64 → 5
Compiler

Compiled 360 to 266 computations (26.1% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 -12/29 (*.f64 3 x))
0.4b
(*.f64 y (+.f64 -12/29 (*.f64 3 x)))

rewrite41.0ms (1.9%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
add-sqr-sqrt_binary64
pow1_binary64 add-exp-log_binary64 add-log-exp_binary64 add-cbrt-cube_binary64 add-cube-cbrt_binary64 *-un-lft-identity_binary64
associate-*l*_binary64 associate-*r*_binary64
flip3-+_binary64 associate-*r/_binary64 flip-+_binary64
pow-prod-down_binary64 prod-exp_binary64 cbrt-unprod_binary64 unswap-sqr_binary64 distribute-rgt-in_binary64 distribute-lft-in_binary64 *-commutative_binary64 sum-log_binary64 +-commutative_binary64
Counts
2 → 33
Calls

2 calls:

6.0ms
(*.f64 y (+.f64 -12/29 (*.f64 3 x)))
3.0ms
(+.f64 -12/29 (*.f64 3 x))
Compiler

Compiled 458 to 354 computations (22.7% saved)

series34.0ms (1.6%)

Error
0.0b
Counts
2 → 15
Calls

2 calls:

22.0ms
(*.f64 y (+.f64 -12/29 (*.f64 3 x)))
9.0ms
(+.f64 -12/29 (*.f64 3 x))
Compiler

Compiled 196 to 182 computations (7.1% saved)

simplify82.0ms (3.9%)

Algorithm
egg-herbie
Rules
430×unsub-neg_binary64 associate-*l*_binary64
330×associate-*r*_binary64
213×distribute-lft-neg-out_binary64
207×distribute-rgt-neg-out_binary64
205×distribute-rgt-in_binary64
198×distribute-lft-in_binary64
152×distribute-neg-out_binary64 distribute-rgt-neg-in_binary64
137×rem-sqrt-square_binary64
136×associate-+l+_binary64
130×unswap-sqr_binary64
125×associate-+r+_binary64
110×neg-mul-1_binary64 neg-sub0_binary64
105×*-commutative_binary64
104×sqr-pow_binary64
97×distribute-rgt-out_binary64
96×times-frac_binary64
78×distribute-neg-in_binary64
70×exp-prod_binary64
64×distribute-lft-out_binary64
56×cancel-sign-sub-inv_binary64
47×sub-neg_binary64
46×+-commutative_binary64
35×distribute-lft-neg-in_binary64
30×*-rgt-identity_binary64
29×*-lft-identity_binary64 pow-sqr_binary64
27×cube-prod_binary64 swap-sqr_binary64
24×exp-sum_binary64
12×prod-exp_binary64
11×log-prod_binary64 unpow1/2_binary64 associate-/l*_binary64
10×unpow3_binary64 distribute-rgt-out--_binary64
exp-diff_binary64 associate-+l-_binary64
div-sub_binary64 sub0-neg_binary64
cube-unmult_binary64 cube-mult_binary64
div-exp_binary64
sqr-neg_binary64 associate-+r-_binary64
pow-plus_binary64 exp-lft-cube_binary64 cube-neg_binary64
+-rgt-identity_binary64 distribute-frac-neg_binary64 associate-*r/_binary64 associate--r+_binary64
exp-neg_binary64 associate-/l/_binary64
1-exp_binary64 exp-1-e_binary64 remove-double-neg_binary64 distribute-lft-out--_binary64 count-2_binary64 associate-/r/_binary64 associate-/r*_binary64 associate-*l/_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-pow_binary64 log-rec_binary64 log-div_binary64 pow-base-0_binary64 unpow1/3_binary64 unpow2_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow1_binary64 unpow-1_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 rec-exp_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 mul-1-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-rgt1-in_binary64 distribute-lft1-in_binary64 associate--r-_binary64 associate--l-_binary64
Counts
48 → 32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
064572
1183512
2561512
31598512
42698512
54553512
64913512

prune24.0ms (1.2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New32032
Fresh022
Picked011
Done022
Total32537
Error
0.0b
Counts
37 → 5
Compiler

Compiled 342 to 261 computations (23.7% saved)

regimes462.0ms (21.9%)

Accuracy

Total 0.2b remaining (93%)

Threshold costs 0.2b (93%)

Compiler

Compiled 4221 to 3908 computations (7.4% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.2%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
sub-neg_binary64 +-commutative_binary64
neg-mul-1_binary64 neg-sub0_binary64 cancel-sign-sub-inv_binary64 distribute-rgt-neg-in_binary64 distribute-lft-neg-in_binary64
not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same 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 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_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
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0913
11813
22613
33013
43313
53413
63313

end1.0ms (0%)

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample617.0ms (29.2%)

Algorithm
intervals
Results
257.0ms8000×body128valid
2.0ms84×body128invalid
Compiler

Compiled 84 to 86 computations (-2.4% saved)

Profiling

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