Details

Time bar (total: 7.9s)

analyze862.0ms (10.9%)

Algorithm
search
egg-herbie
Rules
1442×associate-+l+_binary64
775×associate-+r+_binary64
607×+-commutative_binary64
392×distribute-rgt-in_binary64
313×distribute-lft-in_binary64
111×*-commutative_binary64
72×distribute-rgt-out_binary64
21×count-2_binary64 associate-*r*_binary64
15×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 log-prod_binary64 pow-base-0_binary64 unpow1/3_binary64 unpow3_binary64 unpow2_binary64 unpow1/2_binary64 pow-plus_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow1_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 exp-prod_binary64 div-exp_binary64 rec-exp_binary64 prod-exp_binary64 exp-diff_binary64 exp-neg_binary64 exp-sum_binary64 e-exp-1_binary64 1-exp_binary64 exp-1-e_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-unmult_binary64 cube-mult_binary64 cube-div_binary64 cube-prod_binary64 cube-neg_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 sqr-neg_binary64 rem-sqrt-square_binary64 rem-square-sqrt_binary64 times-frac_binary64 div-sub_binary64 neg-mul-1_binary64 neg-sub0_binary64 unsub-neg_binary64 sub-neg_binary64 mul-1-neg_binary64 /-rgt-identity_binary64 *-rgt-identity_binary64 *-lft-identity_binary64 remove-double-neg_binary64 sub0-neg_binary64 --rgt-identity_binary64 +-rgt-identity_binary64 +-lft-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64 div0_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 pow-sqr_binary64 sqr-pow_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 difference-of-squares_binary64 unswap-sqr_binary64 swap-sqr_binary64 cancel-sign-sub-inv_binary64 cancel-sign-sub_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-neg-in_binary64 distribute-rgt-neg-out_binary64 distribute-lft-neg-out_binary64 distribute-rgt-neg-in_binary64 distribute-lft-neg-in_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 distribute-rgt-out--_binary64 distribute-lft-out--_binary64 distribute-lft-out_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
049154
1143133
2431133
31030133
41290133
51314133
61314133
71314133
82042133
92082133
102106133
112106133
122082133
132082133
142184133
152088133
044
144
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
0%99.8%0.2%5
0%99.8%0.2%6
0%99.8%0.2%7
0%99.8%0.2%8
6.2%93.6%0.2%9
18.7%81.1%0.2%10
26.5%71.5%1.9%11
28.8%66%5.2%12
32.7%58.7%8.5%13
41.9%48.4%9.7%14
Compiler

Compiled 16 to 13 computations (18.8% saved)

sample27.0ms (0.3%)

Algorithm
intervals
Results
10.0ms242×body128valid
2.0ms59×body128invalid
1.0msbody1024valid
1.0msbody512valid
0.0msbody256valid
Compiler

Compiled 31 to 29 computations (6.5% saved)

simplify21.0ms (0.3%)

Algorithm
egg-herbie
Rules
317×associate-+l+_binary64
210×associate-+r+_binary64
79×distribute-rgt-in_binary64
73×distribute-lft-in_binary64
49×+-commutative_binary64
25×*-commutative_binary64
19×distribute-rgt-out_binary64
count-2_binary64 associate-*r*_binary64
associate-*l*_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 log-pow_binary64 log-rec_binary64 log-div_binary64 log-prod_binary64 pow-base-0_binary64 unpow1/3_binary64 unpow3_binary64 unpow2_binary64 unpow1/2_binary64 pow-plus_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow1_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 exp-prod_binary64 div-exp_binary64 rec-exp_binary64 prod-exp_binary64 exp-diff_binary64 exp-neg_binary64 exp-sum_binary64 e-exp-1_binary64 1-exp_binary64 exp-1-e_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-unmult_binary64 cube-mult_binary64 cube-div_binary64 cube-prod_binary64 cube-neg_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 sqr-neg_binary64 rem-sqrt-square_binary64 rem-square-sqrt_binary64 times-frac_binary64 div-sub_binary64 neg-mul-1_binary64 neg-sub0_binary64 unsub-neg_binary64 sub-neg_binary64 mul-1-neg_binary64 /-rgt-identity_binary64 *-rgt-identity_binary64 *-lft-identity_binary64 remove-double-neg_binary64 sub0-neg_binary64 --rgt-identity_binary64 +-rgt-identity_binary64 +-lft-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64 div0_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 pow-sqr_binary64 sqr-pow_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 difference-of-squares_binary64 unswap-sqr_binary64 swap-sqr_binary64 cancel-sign-sub-inv_binary64 cancel-sign-sub_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-neg-in_binary64 distribute-rgt-neg-out_binary64 distribute-lft-neg-out_binary64 distribute-rgt-neg-in_binary64 distribute-lft-neg-in_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 distribute-rgt-out--_binary64 distribute-lft-out--_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 → 1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01322
13119
28119
320719
437819
543619
644019
740019

prune3.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112
Error
0.1b
Counts
2 → 1
Compiler

Compiled 26 to 24 computations (7.7% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 (*.f64 x (+.f64 (*.f64 (+.f64 y z) 2) t)) (*.f64 y 5))
0.0b
(*.f64 x (+.f64 (*.f64 (+.f64 y z) 2) t))

rewrite65.0ms (0.8%)

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
distribute-rgt-in_binary64 distribute-lft-in_binary64 flip3-+_binary64 associate-*r/_binary64 flip-+_binary64 associate-+l+_binary64
pow-prod-down_binary64 prod-exp_binary64 cbrt-unprod_binary64 unswap-sqr_binary64 *-commutative_binary64 sum-log_binary64 +-commutative_binary64
Counts
2 → 35
Calls

2 calls:

10.0ms
(+.f64 (*.f64 x (+.f64 (*.f64 (+.f64 y z) 2) t)) (*.f64 y 5))
10.0ms
(*.f64 x (+.f64 (*.f64 (+.f64 y z) 2) t))
Compiler

Compiled 786 to 446 computations (43.3% saved)

series160.0ms (2%)

Error
0.1b
Counts
2 → 45
Calls

2 calls:

81.0ms
(+.f64 (*.f64 x (+.f64 (*.f64 (+.f64 y z) 2) t)) (*.f64 y 5))
58.0ms
(*.f64 x (+.f64 (*.f64 (+.f64 y z) 2) t))
Compiler

Compiled 1244 to 1056 computations (15.1% saved)

simplify83.0ms (1%)

Algorithm
egg-herbie
Rules
959×distribute-rgt-in_binary64
945×distribute-lft-in_binary64
143×associate-+l+_binary64
130×associate-*l*_binary64
109×associate-*r*_binary64
71×*-commutative_binary64
69×cancel-sign-sub-inv_binary64
55×distribute-rgt-neg-in_binary64
42×distribute-lft-neg-in_binary64
38×+-commutative_binary64
29×sqr-pow_binary64 associate--r+_binary64
26×exp-prod_binary64
25×associate--l+_binary64
23×exp-sum_binary64
21×sub-neg_binary64
20×*-lft-identity_binary64
17×*-rgt-identity_binary64
16×neg-mul-1_binary64 neg-sub0_binary64 distribute-neg-in_binary64 distribute-rgt-out_binary64 associate-+r+_binary64
13×distribute-lft-out_binary64
12×cube-prod_binary64
10×distribute-lft-neg-out_binary64
log-prod_binary64 associate-+r-_binary64
unpow3_binary64 unswap-sqr_binary64 swap-sqr_binary64 distribute-rgt-out--_binary64
exp-lft-sqr_binary64
cube-mult_binary64 associate-+l-_binary64
distribute-lft-out--_binary64
unsub-neg_binary64 difference-of-squares_binary64 distribute-rgt-neg-out_binary64
unpow1/2_binary64 prod-exp_binary64 1-exp_binary64 exp-1-e_binary64 cube-unmult_binary64 pow-sqr_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 pow-plus_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow1_binary64 unpow-1_binary64 exp-lft-cube_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-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-sqrt-square_binary64 rem-square-sqrt_binary64 times-frac_binary64 div-sub_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 cancel-sign-sub_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-rgt1-in_binary64 distribute-lft1-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
Counts
80 → 67
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0991426
13021270
210221258
349911258
449781258

prune47.0ms (0.6%)

Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New59867
Fresh000
Picked101
Done000
Total60868
Error
0.0b
Counts
68 → 8
Compiler

Compiled 875 to 538 computations (38.5% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b
(*.f64 2 (*.f64 x (+.f64 z y)))
0.0b
(+.f64 (+.f64 (*.f64 2 (*.f64 x (+.f64 z y))) (*.f64 t x)) (*.f64 y 5))
0.0b
(+.f64 (*.f64 2 (*.f64 x (+.f64 z y))) (*.f64 t x))
0.0b
(*.f64 x (+.f64 z y))

rewrite121.0ms (1.5%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
11×pow1_binary64 add-exp-log_binary64 add-log-exp_binary64 add-cbrt-cube_binary64
add-sqr-sqrt_binary64 *-un-lft-identity_binary64 distribute-rgt-in_binary64 distribute-lft-in_binary64
add-cube-cbrt_binary64
associate-*r/_binary64 associate-*l*_binary64
associate-*r*_binary64 associate-+l+_binary64
pow-prod-down_binary64 prod-exp_binary64 cbrt-unprod_binary64 flip3-+_binary64 flip-+_binary64 sum-log_binary64
*-commutative_binary64 +-commutative_binary64
unswap-sqr_binary64 distribute-lft-out_binary64
Counts
4 → 75
Calls

4 calls:

11.0ms
(+.f64 (+.f64 (*.f64 2 (*.f64 x (+.f64 z y))) (*.f64 t x)) (*.f64 y 5))
9.0ms
(+.f64 (*.f64 2 (*.f64 x (+.f64 z y))) (*.f64 t x))
7.0ms
(*.f64 2 (*.f64 x (+.f64 z y)))
6.0ms
(*.f64 x (+.f64 z y))
Compiler

Compiled 1651 to 730 computations (55.8% saved)

series234.0ms (3%)

Error
0.0b
Counts
4 → 75
Calls

4 calls:

81.0ms
(+.f64 (+.f64 (*.f64 2 (*.f64 x (+.f64 z y))) (*.f64 t x)) (*.f64 y 5))
67.0ms
(+.f64 (*.f64 2 (*.f64 x (+.f64 z y))) (*.f64 t x))
33.0ms
(*.f64 2 (*.f64 x (+.f64 z y)))
30.0ms
(*.f64 x (+.f64 z y))
Compiler

Compiled 2109 to 1760 computations (16.5% saved)

simplify129.0ms (1.6%)

Algorithm
egg-herbie
Rules
452×*-commutative_binary64
291×distribute-rgt-neg-in_binary64
234×distribute-lft-neg-in_binary64
231×associate-+l+_binary64
210×distribute-rgt-out_binary64
201×associate--r+_binary64
190×associate-+r+_binary64
174×associate-*l*_binary64
172×associate-*r*_binary64
167×associate--l+_binary64
165×cancel-sign-sub-inv_binary64
154×sub-neg_binary64
150×associate-+l-_binary64
123×distribute-rgt-in_binary64
117×distribute-lft-in_binary64
108×unswap-sqr_binary64
106×sqr-pow_binary64
104×exp-prod_binary64
103×+-commutative_binary64
90×distribute-neg-in_binary64 distribute-rgt-out--_binary64
74×exp-sum_binary64
66×neg-mul-1_binary64 neg-sub0_binary64
64×distribute-lft-out_binary64
56×unsub-neg_binary64
48×prod-exp_binary64
46×cube-prod_binary64
39×swap-sqr_binary64
36×log-prod_binary64
32×distribute-lft-neg-out_binary64
27×associate--r-_binary64
25×associate-+r-_binary64
21×*-rgt-identity_binary64
17×*-lft-identity_binary64 +-rgt-identity_binary64
12×unpow3_binary64 pow-sqr_binary64
11×distribute-lft-out--_binary64 associate-/l*_binary64
10×unpow1/2_binary64 cube-mult_binary64
sub0-neg_binary64
exp-lft-sqr_binary64 difference-of-squares_binary64 associate-/l/_binary64 associate-*r/_binary64
exp-diff_binary64 div-sub_binary64
associate-/r*_binary64
distribute-neg-out_binary64 distribute-rgt-neg-out_binary64 associate-/r/_binary64
times-frac_binary64
cube-unmult_binary64 rem-sqrt-square_binary64 cancel-sign-sub_binary64 associate--l-_binary64
1-exp_binary64 exp-1-e_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 log-pow_binary64 log-rec_binary64 log-div_binary64 pow-base-0_binary64 unpow1/3_binary64 unpow2_binary64 pow-plus_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow1_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-cbrt_binary64 exp-sqrt_binary64 div-exp_binary64 rec-exp_binary64 exp-neg_binary64 e-exp-1_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-div_binary64 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 /-rgt-identity_binary64 remove-double-neg_binary64 --rgt-identity_binary64 +-lft-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64 div0_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-lft1-in_binary64 associate-*l/_binary64
Counts
150 → 115
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01462230
14081945
214681921
328831918
448581918
548361918

prune77.0ms (1%)

Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New1141115
Fresh257
Picked101
Done000
Total1176123
Error
0.0b
Counts
123 → 6
Compiler

Compiled 1128 to 657 computations (41.8% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b
(*.f64 2 (+.f64 (*.f64 x z) (*.f64 x y)))
0.0b
(+.f64 (+.f64 (*.f64 2 (+.f64 (*.f64 x z) (*.f64 x y))) (*.f64 t x)) (*.f64 y 5))
0.0b
(+.f64 (*.f64 x z) (*.f64 x y))
0.0b
(+.f64 (*.f64 2 (+.f64 (*.f64 x z) (*.f64 x y))) (*.f64 t x))

rewrite97.0ms (1.2%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
13×add-log-exp_binary64
add-sqr-sqrt_binary64
pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 add-cube-cbrt_binary64 *-un-lft-identity_binary64
sum-log_binary64
flip3-+_binary64 flip-+_binary64 associate-*r*_binary64
associate-+l+_binary64 +-commutative_binary64 associate-*l*_binary64
distribute-rgt-in_binary64 distribute-lft-in_binary64 distribute-lft-out_binary64 associate-*r/_binary64
pow-prod-down_binary64 prod-exp_binary64 cbrt-unprod_binary64 unswap-sqr_binary64 *-commutative_binary64
Counts
4 → 61
Calls

4 calls:

9.0ms
(+.f64 (+.f64 (*.f64 2 (+.f64 (*.f64 x z) (*.f64 x y))) (*.f64 t x)) (*.f64 y 5))
8.0ms
(+.f64 (*.f64 2 (+.f64 (*.f64 x z) (*.f64 x y))) (*.f64 t x))
7.0ms
(*.f64 2 (+.f64 (*.f64 x z) (*.f64 x y)))
4.0ms
(+.f64 (*.f64 x z) (*.f64 x y))
Compiler

Compiled 1662 to 629 computations (62.2% saved)

series236.0ms (3%)

Error
0.0b
Counts
4 → 75
Calls

4 calls:

87.0ms
(+.f64 (+.f64 (*.f64 2 (+.f64 (*.f64 x z) (*.f64 x y))) (*.f64 t x)) (*.f64 y 5))
69.0ms
(+.f64 (*.f64 2 (+.f64 (*.f64 x z) (*.f64 x y))) (*.f64 t x))
38.0ms
(*.f64 2 (+.f64 (*.f64 x z) (*.f64 x y)))
30.0ms
(+.f64 (*.f64 x z) (*.f64 x y))
Compiler

Compiled 2109 to 1760 computations (16.5% saved)

simplify130.0ms (1.6%)

Algorithm
egg-herbie
Rules
821×distribute-rgt-in_binary64
768×distribute-lft-in_binary64
208×cancel-sign-sub-inv_binary64
154×associate-*l*_binary64
150×associate-*r*_binary64
126×distribute-rgt-neg-in_binary64
105×distribute-lft-neg-in_binary64
99×distribute-rgt-out_binary64 *-commutative_binary64
91×neg-mul-1_binary64 neg-sub0_binary64
86×distribute-lft-out_binary64
61×prod-exp_binary64
53×exp-sum_binary64 sub-neg_binary64
50×unsub-neg_binary64
49×sqr-pow_binary64
48×exp-prod_binary64 +-commutative_binary64
41×distribute-rgt-out--_binary64
38×associate--l+_binary64
31×associate-+l+_binary64
25×distribute-lft-neg-out_binary64
24×cube-prod_binary64
21×distribute-neg-in_binary64 distribute-lft-out--_binary64
20×swap-sqr_binary64
18×unswap-sqr_binary64 associate-+r+_binary64
17×unpow3_binary64
15×log-prod_binary64
14×cube-mult_binary64
exp-lft-sqr_binary64
pow-sqr_binary64 difference-of-squares_binary64 distribute-rgt-neg-out_binary64 associate--r+_binary64 associate-+r-_binary64
associate-+l-_binary64
associate-/l*_binary64
unpow1_binary64 1-exp_binary64 cube-unmult_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 unpow1/2_binary64 pow-plus_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-cbrt_binary64 exp-sqrt_binary64 div-exp_binary64 rec-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-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-sqrt-square_binary64 rem-square-sqrt_binary64 times-frac_binary64 div-sub_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 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 cancel-sign-sub_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 count-2_binary64 associate-/l/_binary64 associate-/r/_binary64 associate-/r*_binary64 associate-*l/_binary64 associate-*r/_binary64 associate--r-_binary64 associate--l-_binary64
Counts
136 → 112
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01282133
14021866
213871839
347791839
449781839
550511839

prune58.0ms (0.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1120112
Fresh055
Picked011
Done000
Total1126118
Error
0.0b
Counts
118 → 6
Compiler

Compiled 1275 to 668 computations (47.6% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b
(*.f64 (cbrt.f64 (+.f64 (*.f64 (+.f64 t (*.f64 2 (+.f64 z y))) x) (*.f64 y 5))) (cbrt.f64 (+.f64 (*.f64 (+.f64 t (*.f64 2 (+.f64 z y))) x) (*.f64 y 5))))
0.5b
(cbrt.f64 (+.f64 (*.f64 (+.f64 t (*.f64 2 (+.f64 z y))) x) (*.f64 y 5)))
0.5b
(cbrt.f64 (+.f64 (*.f64 (+.f64 t (*.f64 2 (+.f64 z y))) x) (*.f64 y 5)))
0.5b
(cbrt.f64 (+.f64 (*.f64 (+.f64 t (*.f64 2 (+.f64 z y))) x) (*.f64 y 5)))

rewrite178.0ms (2.3%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
25×cbrt-prod_binary64
23×add-sqr-sqrt_binary64
18×cbrt-div_binary64
15×add-cube-cbrt_binary64 *-un-lft-identity_binary64
11×pow1_binary64
pow1/3_binary64 flip3-+_binary64 flip-+_binary64
add-exp-log_binary64 swap-sqr_binary64 associate-*l*_binary64 associate-*r*_binary64
add-log-exp_binary64 add-cbrt-cube_binary64 frac-times_binary64 unswap-sqr_binary64
pow-prod-down_binary64 pow-prod-up_binary64 pow-sqr_binary64 associate-*l/_binary64 associate-*r/_binary64
pow2_binary64 pow-plus_binary64 prod-exp_binary64 cbrt-unprod_binary64 *-commutative_binary64
Counts
4 → 87
Calls

4 calls:

16.0ms
(*.f64 (cbrt.f64 (+.f64 (*.f64 (+.f64 t (*.f64 2 (+.f64 z y))) x) (*.f64 y 5))) (cbrt.f64 (+.f64 (*.f64 (+.f64 t (*.f64 2 (+.f64 z y))) x) (*.f64 y 5))))
8.0ms
(cbrt.f64 (+.f64 (*.f64 (+.f64 t (*.f64 2 (+.f64 z y))) x) (*.f64 y 5)))
6.0ms
(cbrt.f64 (+.f64 (*.f64 (+.f64 t (*.f64 2 (+.f64 z y))) x) (*.f64 y 5)))
5.0ms
(cbrt.f64 (+.f64 (*.f64 (+.f64 t (*.f64 2 (+.f64 z y))) x) (*.f64 y 5)))
Compiler

Compiled 5307 to 3224 computations (39.3% saved)

series2.5s (32.1%)

Error
0.0b
Counts
4 → 126
Calls

4 calls:

878.0ms
(*.f64 (cbrt.f64 (+.f64 (*.f64 (+.f64 t (*.f64 2 (+.f64 z y))) x) (*.f64 y 5))) (cbrt.f64 (+.f64 (*.f64 (+.f64 t (*.f64 2 (+.f64 z y))) x) (*.f64 y 5))))
324.0ms
(cbrt.f64 (+.f64 (*.f64 (+.f64 t (*.f64 2 (+.f64 z y))) x) (*.f64 y 5)))
324.0ms
(cbrt.f64 (+.f64 (*.f64 (+.f64 t (*.f64 2 (+.f64 z y))) x) (*.f64 y 5)))
321.0ms
(cbrt.f64 (+.f64 (*.f64 (+.f64 t (*.f64 2 (+.f64 z y))) x) (*.f64 y 5)))
Compiler

Compiled 40090 to 30665 computations (23.5% saved)

simplify362.0ms (4.6%)

Algorithm
egg-herbie
Rules
869×associate-/l*_binary64
341×*-commutative_binary64
194×+-commutative_binary64
142×associate-+r+_binary64
123×associate-/r/_binary64 associate-*r/_binary64
94×sqr-pow_binary64
89×associate-*r*_binary64
81×sub-neg_binary64
76×times-frac_binary64 associate-/r*_binary64
74×cancel-sign-sub-inv_binary64
55×distribute-rgt-in_binary64
46×distribute-lft-in_binary64
43×neg-mul-1_binary64 neg-sub0_binary64
38×distribute-rgt-neg-in_binary64
37×distribute-neg-in_binary64
36×exp-prod_binary64
35×distribute-lft-neg-in_binary64
21×unswap-sqr_binary64
20×log-prod_binary64
19×unpow1/3_binary64
15×distribute-rgt-out_binary64
14×associate--l+_binary64
13×associate-*l*_binary64
12×distribute-lft-out_binary64 associate-/l/_binary64
10×associate--r+_binary64
unpow2_binary64 unpow1_binary64
log-div_binary64 distribute-rgt-neg-out_binary64
unpow3_binary64 cube-mult_binary64 distribute-lft-neg-out_binary64
distribute-lft-out--_binary64
log-rec_binary64 cube-unmult_binary64 remove-double-neg_binary64 swap-sqr_binary64
log-pow_binary64 cube-prod_binary64
rem-3cbrt-lft_binary64 rem-sqrt-square_binary64 distribute-rgt-out--_binary64
1-exp_binary64 rem-3cbrt-rft_binary64 rem-square-sqrt_binary64 unsub-neg_binary64 *-rgt-identity_binary64 difference-of-squares_binary64 distribute-neg-frac_binary64 distribute-rgt1-in_binary64 count-2_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 unpow1/2_binary64 pow-plus_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-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 sqr-neg_binary64 div-sub_binary64 mul-1-neg_binary64 /-rgt-identity_binary64 *-lft-identity_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 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 cancel-sign-sub_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-lft1-in_binary64 associate-*l/_binary64 associate--r-_binary64 associate--l-_binary64 associate-+l-_binary64 associate-+l+_binary64
Counts
213 → 197
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
090721839
1294720667
2506520667

prune409.0ms (5.2%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1952197
Fresh134
Picked011
Done011
Total1967203
Error
0.0b
Counts
203 → 7
Compiler

Compiled 17807 to 11137 computations (37.5% saved)

regimes937.0ms (11.9%)

Accuracy

Total 0.0b remaining (54.7%)

Threshold costs 0.0b (54.7%)

Compiler

Compiled 14151 to 11342 computations (19.9% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
+-commutative_binary64
not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 unpow1_binary64 e-exp-1_binary64 1-exp_binary64 exp-1-e_binary64 exp-0_binary64 sqr-abs_binary64 sqr-neg_binary64 neg-mul-1_binary64 neg-sub0_binary64 unsub-neg_binary64 sub-neg_binary64 mul-1-neg_binary64 /-rgt-identity_binary64 *-rgt-identity_binary64 *-lft-identity_binary64 remove-double-neg_binary64 sub0-neg_binary64 --rgt-identity_binary64 +-rgt-identity_binary64 +-lft-identity_binary64 cancel-sign-sub-inv_binary64 cancel-sign-sub_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-neg-in_binary64 distribute-rgt-neg-out_binary64 distribute-lft-neg-out_binary64 distribute-rgt-neg-in_binary64 distribute-lft-neg-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01525
12325
22325

end1.0ms (0%)

Compiler

Compiled 17 to 14 computations (17.6% saved)

sample1.1s (13.6%)

Algorithm
intervals
Results
343.0ms7723×body128valid
75.0ms1882×body128invalid
21.0ms140×body1024valid
10.0ms89×body512valid
4.0ms48×body256valid
Compiler

Compiled 346 to 265 computations (23.4% saved)

Profiling

Loading profile data...