Details

Time bar (total: 8.0s)

analyze1.3s (15.9%)

Algorithm
search
egg-herbie
Rules
74×+-commutative_binary64
50×*-commutative_binary64
41×associate-+l+_binary64
40×associate-+r+_binary64
38×associate-/r/_binary64 associate-/l*_binary64
1-exp_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 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--r-_binary64 associate--l-_binary64 associate--l+_binary64 associate--r+_binary64 associate-+l-_binary64 associate-+r-_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
097400
1200400
2325400
3367400
4383400
5382400
066
166
Search
TrueOtherFalseIter
0%99.7%0.3%0
0%99.7%0.3%1
0%99.7%0.3%2
0%99.7%0.3%3
0%99.7%0.3%4
0%99.7%0.3%5
0%99.7%0.3%6
0%99.7%0.3%7
0%99.7%0.3%8
0%99.7%0.3%9
0%99.7%0.3%10
5.8%93.9%0.3%11
8.4%91.3%0.3%12
9.7%90%0.3%13
10.7%89%0.3%14
Compiler

Compiled 18 to 16 computations (11.1% saved)

sample28.0ms (0.3%)

Algorithm
intervals
Results
13.0ms256×body128valid
0.0msbody128invalid
Compiler

Compiled 35 to 37 computations (-5.7% saved)

simplify10.0ms (0.1%)

Algorithm
egg-herbie
Rules
*-commutative_binary64 +-commutative_binary64
associate-/r/_binary64 associate-/l*_binary64
associate-+l+_binary64 associate-+r+_binary64
1-exp_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 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--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
01625
12925
24125
34725
44925
54825

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done000
Total011
Error
15.5b
Counts
1 → 1
Compiler

Compiled 17 to 15 computations (11.8% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b
(+.f64 (+.f64 a 1) (/.f64 (*.f64 y b) t))
4.9b
(/.f64 (*.f64 y z) t)
7.3b
(/.f64 (*.f64 y b) t)
12.1b
(/.f64 (+.f64 x (/.f64 (*.f64 y z) t)) (+.f64 (+.f64 a 1) (/.f64 (*.f64 y b) t)))

rewrite204.0ms (2.5%)

Algorithm
rewrite-expression-head
Error
11.9b
Rules
61×*-un-lft-identity_binary64
26×times-frac_binary64
24×distribute-lft-out_binary64
19×add-cube-cbrt_binary64 add-sqr-sqrt_binary64
16×add-exp-log_binary64 add-cbrt-cube_binary64
11×associate-/r*_binary64
add-log-exp_binary64
associate-/l*_binary64
div-exp_binary64 cbrt-undiv_binary64 flip3-+_binary64 flip-+_binary64
pow1_binary64 frac-add_binary64 associate-/r/_binary64
frac-2neg_binary64 clear-num_binary64 div-inv_binary64 sum-log_binary64
associate-/l/_binary64 prod-exp_binary64 cbrt-unprod_binary64
associate-+l+_binary64 +-commutative_binary64
Counts
4 → 106
Calls

4 calls:

13.0ms
(/.f64 (+.f64 x (/.f64 (*.f64 y z) t)) (+.f64 (+.f64 a 1) (/.f64 (*.f64 y b) t)))
8.0ms
(/.f64 (*.f64 y z) t)
7.0ms
(+.f64 (+.f64 a 1) (/.f64 (*.f64 y b) t))
4.0ms
(/.f64 (*.f64 y b) t)
Compiler

Compiled 2462 to 827 computations (66.4% saved)

series448.0ms (5.6%)

Error
2.4b
Counts
4 → 83
Calls

4 calls:

308.0ms
(/.f64 (+.f64 x (/.f64 (*.f64 y z) t)) (+.f64 (+.f64 a 1) (/.f64 (*.f64 y b) t)))
49.0ms
(+.f64 (+.f64 a 1) (/.f64 (*.f64 y b) t))
27.0ms
(/.f64 (*.f64 y z) t)
26.0ms
(/.f64 (*.f64 y b) t)
Compiler

Compiled 5711 to 4133 computations (27.6% saved)

simplify146.0ms (1.8%)

Algorithm
egg-herbie
Rules
499×cancel-sign-sub-inv_binary64
455×times-frac_binary64
341×associate-/l*_binary64
240×associate-/r*_binary64
198×sub-neg_binary64
154×associate-*r*_binary64
144×associate-*l*_binary64
138×unswap-sqr_binary64
130×associate-*l/_binary64
121×distribute-rgt-in_binary64
117×associate-*r/_binary64
112×*-commutative_binary64 +-commutative_binary64
102×distribute-lft-in_binary64
84×associate-+r+_binary64
82×associate-/l/_binary64
77×associate-/r/_binary64
72×associate--r+_binary64 associate-+l+_binary64
56×associate--l+_binary64
49×neg-mul-1_binary64 neg-sub0_binary64 sqr-pow_binary64
44×*-rgt-identity_binary64
33×unsub-neg_binary64
29×log-div_binary64
22×cube-div_binary64 distribute-neg-in_binary64
19×*-lft-identity_binary64
18×distribute-neg-frac_binary64
16×/-rgt-identity_binary64
15×cube-prod_binary64
13×swap-sqr_binary64
12×distribute-rgt-neg-in_binary64
11×log-prod_binary64
10×div-sub_binary64
unpow3_binary64 exp-prod_binary64
cube-mult_binary64 distribute-lft-neg-in_binary64
unpow2_binary64 unpow1/2_binary64 unpow1_binary64 cube-unmult_binary64
prod-exp_binary64
exp-sum_binary64
log-pow_binary64 difference-of-squares_binary64 distribute-lft-neg-out_binary64 distribute-rgt-out_binary64 distribute-lft-out_binary64 associate-+l-_binary64 associate-+r-_binary64
log-rec_binary64 distribute-rgt-out--_binary64
pow-plus_binary64 1-exp_binary64 exp-1-e_binary64 rem-sqrt-square_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 distribute-rgt1-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 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-diff_binary64 exp-neg_binary64 e-exp-1_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-neg_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 sqr-neg_binary64 rem-square-sqrt_binary64 mul-1-neg_binary64 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 cancel-sign-sub_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-rgt-neg-out_binary64 distribute-lft1-in_binary64 distribute-lft-out--_binary64 associate--r-_binary64 associate--l-_binary64
Counts
189 → 112
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03245148
19404974
241204972
352974972

prune106.0ms (1.3%)

Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New10210112
Fresh000
Picked101
Done000
Total10310113
Error
3.8b
Counts
113 → 10
Compiler

Compiled 2462 to 907 computations (63.2% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

3.3b
(*.f64 t (+.f64 a (+.f64 (/.f64 (*.f64 y b) t) 1)))
7.3b
(/.f64 (*.f64 y b) t)
7.3b
(/.f64 (*.f64 y b) t)
12.0b
(/.f64 (*.f64 z y) (*.f64 t (+.f64 a (+.f64 (/.f64 (*.f64 y b) t) 1))))

rewrite173.0ms (2.2%)

Algorithm
rewrite-expression-head
Error
3.3b
Rules
28×add-exp-log_binary64 add-cbrt-cube_binary64
15×*-un-lft-identity_binary64
12×add-sqr-sqrt_binary64
10×add-cube-cbrt_binary64
div-exp_binary64 cbrt-undiv_binary64
prod-exp_binary64 cbrt-unprod_binary64 times-frac_binary64 associate-/r*_binary64
pow1_binary64
associate-*r*_binary64
add-log-exp_binary64 associate-*r/_binary64
frac-2neg_binary64 clear-num_binary64 div-inv_binary64 associate-/l*_binary64 associate-*l*_binary64 distribute-lft-out_binary64
flip3-+_binary64 associate-/r/_binary64 flip-+_binary64
pow-prod-down_binary64 unswap-sqr_binary64 distribute-rgt-in_binary64 distribute-lft-in_binary64 *-commutative_binary64
Counts
4 → 89
Calls

4 calls:

12.0ms
(/.f64 (*.f64 z y) (*.f64 t (+.f64 a (+.f64 (/.f64 (*.f64 y b) t) 1))))
10.0ms
(*.f64 t (+.f64 a (+.f64 (/.f64 (*.f64 y b) t) 1)))
4.0ms
(/.f64 (*.f64 y b) t)
4.0ms
(/.f64 (*.f64 y b) t)
Compiler

Compiled 3039 to 1176 computations (61.3% saved)

series232.0ms (2.9%)

Error
1.3b
Counts
4 → 62
Calls

4 calls:

99.0ms
(/.f64 (*.f64 z y) (*.f64 t (+.f64 a (+.f64 (/.f64 (*.f64 y b) t) 1))))
65.0ms
(*.f64 t (+.f64 a (+.f64 (/.f64 (*.f64 y b) t) 1)))
29.0ms
(/.f64 (*.f64 y b) t)
27.0ms
(/.f64 (*.f64 y b) t)
Compiler

Compiled 3287 to 2357 computations (28.3% saved)

simplify132.0ms (1.6%)

Algorithm
egg-herbie
Rules
618×distribute-rgt-in_binary64
596×distribute-lft-in_binary64
484×associate-/l/_binary64
279×times-frac_binary64
187×associate-/l*_binary64
129×associate-/r*_binary64 associate-*l*_binary64
97×associate-*r*_binary64
77×log-div_binary64
62×*-commutative_binary64
57×associate-*l/_binary64
49×cancel-sign-sub-inv_binary64
48×sub-neg_binary64
46×exp-prod_binary64
45×log-prod_binary64 associate-*r/_binary64
38×distribute-rgt-neg-in_binary64
36×distribute-neg-frac_binary64 associate-/r/_binary64
32×exp-sum_binary64 distribute-lft-neg-in_binary64
28×distribute-neg-in_binary64
25×sqr-pow_binary64
24×neg-mul-1_binary64 neg-sub0_binary64 *-rgt-identity_binary64 *-lft-identity_binary64
20×unpow3_binary64 +-commutative_binary64
17×cube-prod_binary64 swap-sqr_binary64
14×cube-div_binary64
13×unsub-neg_binary64
11×associate--r+_binary64
10×/-rgt-identity_binary64
cube-unmult_binary64
distribute-lft-neg-out_binary64
unswap-sqr_binary64
log-rec_binary64 distribute-rgt-out_binary64 associate--l+_binary64 associate-+l+_binary64 associate-+r+_binary64
distribute-rgt-neg-out_binary64
log-pow_binary64 div-sub_binary64
unpow1/2_binary64 pow-plus_binary64 cube-mult_binary64 distribute-lft-out_binary64
unpow2_binary64 unpow1_binary64 1-exp_binary64 exp-1-e_binary64 pow-sqr_binary64 difference-of-squares_binary64
not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 pow-base-0_binary64 unpow1/3_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 div-exp_binary64 rec-exp_binary64 prod-exp_binary64 exp-diff_binary64 exp-neg_binary64 e-exp-1_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-neg_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 sqr-neg_binary64 rem-sqrt-square_binary64 rem-square-sqrt_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 cancel-sign-sub_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 distribute-rgt-out--_binary64 distribute-lft-out--_binary64 count-2_binary64 associate--r-_binary64 associate--l-_binary64 associate-+l-_binary64 associate-+r-_binary64
Counts
151 → 52
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01432486
14352105
219702043
348652043
449992043
549792043

prune45.0ms (0.6%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New49352
Fresh459
Picked011
Done000
Total53962
Error
2.1b
Counts
62 → 9
Compiler

Compiled 873 to 430 computations (50.7% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

4.0b
(/.f64 y (+.f64 a (+.f64 (/.f64 (*.f64 y b) t) 1)))
7.3b
(/.f64 (*.f64 y b) t)
7.3b
(/.f64 (*.f64 y b) t)
9.3b
(/.f64 t (/.f64 y (+.f64 a (+.f64 (/.f64 (*.f64 y b) t) 1))))

rewrite302.0ms (3.8%)

Algorithm
rewrite-expression-head
Error
1.6b
Rules
156×*-un-lft-identity_binary64
144×times-frac_binary64
76×add-cube-cbrt_binary64 add-sqr-sqrt_binary64
48×distribute-lft-out_binary64
32×associate-/r*_binary64
21×add-exp-log_binary64 add-cbrt-cube_binary64
11×associate-/r/_binary64
div-exp_binary64 cbrt-undiv_binary64 div-inv_binary64 associate-/l*_binary64
flip3-+_binary64 flip-+_binary64
pow1_binary64 add-log-exp_binary64 frac-2neg_binary64 clear-num_binary64
prod-exp_binary64 cbrt-unprod_binary64
Counts
4 → 181
Calls

4 calls:

14.0ms
(/.f64 t (/.f64 y (+.f64 a (+.f64 (/.f64 (*.f64 y b) t) 1))))
12.0ms
(/.f64 y (+.f64 a (+.f64 (/.f64 (*.f64 y b) t) 1)))
4.0ms
(/.f64 (*.f64 y b) t)
4.0ms
(/.f64 (*.f64 y b) t)
Compiler

Compiled 5904 to 2475 computations (58.1% saved)

series250.0ms (3.1%)

Error
1.2b
Counts
4 → 67
Calls

4 calls:

92.0ms
(/.f64 y (+.f64 a (+.f64 (/.f64 (*.f64 y b) t) 1)))
78.0ms
(/.f64 t (/.f64 y (+.f64 a (+.f64 (/.f64 (*.f64 y b) t) 1))))
30.0ms
(/.f64 (*.f64 y b) t)
27.0ms
(/.f64 (*.f64 y b) t)
Compiler

Compiled 3826 to 2756 computations (28% saved)

simplify202.0ms (2.5%)

Algorithm
egg-herbie
Rules
645×associate-/r/_binary64
596×distribute-rgt-in_binary64
544×distribute-lft-in_binary64
152×associate-/l/_binary64
138×associate-/l*_binary64 associate-*l/_binary64
103×*-commutative_binary64
94×neg-mul-1_binary64 neg-sub0_binary64
88×times-frac_binary64
80×cancel-sign-sub-inv_binary64
72×associate-*r/_binary64
68×distribute-neg-frac_binary64 associate-/r*_binary64
65×sub-neg_binary64
62×unswap-sqr_binary64
57×*-rgt-identity_binary64
52×associate-*r*_binary64
50×associate-*l*_binary64
48×distribute-rgt-neg-in_binary64
44×cube-prod_binary64
43×distribute-lft-neg-in_binary64
42×div-sub_binary64
41×log-prod_binary64
35×sqr-pow_binary64
30×+-commutative_binary64
29×log-div_binary64
28×exp-sum_binary64
26×*-lft-identity_binary64
25×distribute-neg-in_binary64
24×exp-prod_binary64
18×cube-div_binary64
13×unpow3_binary64 associate--r+_binary64
11×cube-unmult_binary64 unsub-neg_binary64 distribute-lft-neg-out_binary64
/-rgt-identity_binary64 swap-sqr_binary64 distribute-rgt-out--_binary64
pow-plus_binary64 cube-mult_binary64 associate--l+_binary64 associate-+l+_binary64
distribute-rgt-neg-out_binary64
log-pow_binary64 unpow2_binary64 unpow1/2_binary64 unpow1_binary64 rem-sqrt-square_binary64 distribute-rgt-out_binary64 associate-+r+_binary64
remove-double-div_binary64 difference-of-squares_binary64 distribute-lft-out_binary64
log-rec_binary64 distribute-rgt1-in_binary64
1-exp_binary64 remove-double-neg_binary64 div0_binary64 difference-of-sqr-1_binary64 associate--r-_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 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 e-exp-1_binary64 exp-1-e_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-neg_binary64 rem-3cbrt-rft_binary64 rem-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 sub0-neg_binary64 --rgt-identity_binary64 +-rgt-identity_binary64 +-lft-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 pow-sqr_binary64 difference-of-sqr--1_binary64 cancel-sign-sub_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-lft1-in_binary64 distribute-lft-out--_binary64 count-2_binary64 associate--l-_binary64
Counts
248 → 212
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02585882
16335594
222075538
346815538
449875538

prune197.0ms (2.5%)

Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New2093212
Fresh167
Picked101
Done101
Total2129221
Error
1.1b
Counts
221 → 9
Compiler

Compiled 5044 to 2164 computations (57.1% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

1.7b
(/.f64 x (+.f64 a (+.f64 (/.f64 (*.f64 y b) t) 1)))
2.0b
(*.f64 (/.f64 t y) (+.f64 a 1))
3.4b
(/.f64 z (+.f64 b (*.f64 (/.f64 t y) (+.f64 a 1))))
7.3b
(/.f64 (*.f64 y b) t)

rewrite227.0ms (2.8%)

Algorithm
rewrite-expression-head
Error
1.1b
Rules
54×*-un-lft-identity_binary64
37×add-sqr-sqrt_binary64 times-frac_binary64
32×add-cube-cbrt_binary64
18×add-exp-log_binary64 add-cbrt-cube_binary64
13×associate-*l*_binary64 distribute-lft-out_binary64
11×associate-/r*_binary64
associate-/l*_binary64
pow1_binary64
div-exp_binary64 cbrt-undiv_binary64
add-log-exp_binary64 div-inv_binary64 flip3-+_binary64 associate-/r/_binary64 flip-+_binary64 associate-*r*_binary64
prod-exp_binary64 cbrt-unprod_binary64 frac-2neg_binary64 clear-num_binary64
frac-times_binary64 unswap-sqr_binary64 associate-*r/_binary64
pow-prod-down_binary64 distribute-rgt-in_binary64 distribute-lft-in_binary64 associate-*l/_binary64 *-commutative_binary64
Counts
4 → 126
Calls

4 calls:

9.0ms
(/.f64 x (+.f64 a (+.f64 (/.f64 (*.f64 y b) t) 1)))
8.0ms
(*.f64 (/.f64 t y) (+.f64 a 1))
4.0ms
(/.f64 z (+.f64 b (*.f64 (/.f64 t y) (+.f64 a 1))))
4.0ms
(/.f64 (*.f64 y b) t)
Compiler

Compiled 3721 to 1747 computations (53.1% saved)

series337.0ms (4.2%)

Error
0.9b
Counts
4 → 71
Calls

4 calls:

134.0ms
(/.f64 x (+.f64 a (+.f64 (/.f64 (*.f64 y b) t) 1)))
101.0ms
(/.f64 z (+.f64 b (*.f64 (/.f64 t y) (+.f64 a 1))))
35.0ms
(*.f64 (/.f64 t y) (+.f64 a 1))
30.0ms
(/.f64 (*.f64 y b) t)
Compiler

Compiled 4857 to 3487 computations (28.2% saved)

simplify124.0ms (1.6%)

Algorithm
egg-herbie
Rules
847×distribute-rgt-in_binary64
241×cancel-sign-sub-inv_binary64
230×times-frac_binary64
225×associate-/l*_binary64
155×distribute-lft-in_binary64
153×distribute-rgt-neg-in_binary64 associate-*l*_binary64
152×associate-*l/_binary64
140×distribute-neg-frac_binary64
135×associate-/r*_binary64
134×distribute-lft-neg-in_binary64
121×associate-*r*_binary64
113×*-commutative_binary64
108×associate-*r/_binary64
107×unswap-sqr_binary64
91×sub-neg_binary64
68×associate-/l/_binary64
66×associate-/r/_binary64
58×sqr-pow_binary64
57×*-rgt-identity_binary64
54×neg-mul-1_binary64 neg-sub0_binary64 distribute-neg-in_binary64
49×+-commutative_binary64
40×*-lft-identity_binary64
29×distribute-rgt-out_binary64
27×log-div_binary64
26×cube-prod_binary64
22×log-prod_binary64
21×exp-prod_binary64 associate--r+_binary64
19×unsub-neg_binary64
17×cube-div_binary64
14×/-rgt-identity_binary64 distribute-lft-neg-out_binary64
13×swap-sqr_binary64 associate-+l+_binary64 associate-+r+_binary64
11×associate--l+_binary64
unpow3_binary64 cube-unmult_binary64
unpow2_binary64 unpow1/2_binary64 unpow1_binary64
cube-mult_binary64 div-sub_binary64 distribute-rgt-out--_binary64
log-pow_binary64 distribute-rgt1-in_binary64
exp-sum_binary64 rem-sqrt-square_binary64 difference-of-squares_binary64 distribute-rgt-neg-out_binary64
log-rec_binary64 pow-plus_binary64 distribute-lft-out_binary64 associate-+l-_binary64 associate-+r-_binary64
1-exp_binary64 exp-1-e_binary64 pow-sqr_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 distribute-lft1-in_binary64 distribute-lft-out--_binary64
not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 pow-base-0_binary64 unpow1/3_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 div-exp_binary64 rec-exp_binary64 prod-exp_binary64 exp-diff_binary64 exp-neg_binary64 e-exp-1_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-neg_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 sqr-neg_binary64 rem-square-sqrt_binary64 mul-1-neg_binary64 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 cancel-sign-sub_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 count-2_binary64 associate--r-_binary64 associate--l-_binary64
Counts
197 → 125
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03093854
18673674
229463501
350423501

prune106.0ms (1.3%)

Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New1214125
Fresh268
Picked011
Done000
Total12311134
Error
0.8b
Counts
134 → 11
Compiler

Compiled 2070 to 933 computations (54.9% saved)

regimes2.3s (28.3%)

Accuracy

Total 3.6b remaining (78.9%)

Threshold costs 0b (0%)

Compiler

Compiled 41404 to 30672 computations (25.9% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
*-commutative_binary64
1-exp_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 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
02037
12937
22837

end1.0ms (0%)

Compiler

Compiled 25 to 21 computations (16% saved)

sample1.1s (14.2%)

Algorithm
intervals
Results
429.0ms8000×body128valid
13.0ms268×body128invalid
Compiler

Compiled 372 to 317 computations (14.8% saved)

Profiling

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