Details

Time bar (total: 1.8s)

analyze95.0ms (5.4%)

Algorithm
search
egg-herbie
Rules
26×cancel-sign-sub-inv_binary64
24×distribute-rgt-in_binary64 associate--r+_binary64
20×sub-neg_binary64
16×neg-mul-1_binary64
14×distribute-rgt-neg-in_binary64
12×neg-sub0_binary64
10×distribute-rgt-neg-out_binary64 distribute-lft-neg-in_binary64 *-commutative_binary64
unsub-neg_binary64 distribute-lft-neg-out_binary64 associate-*r*_binary64 associate--r-_binary64
distribute-neg-in_binary64 associate-+l-_binary64 +-commutative_binary64
*-lft-identity_binary64 remove-double-neg_binary64 sub0-neg_binary64 distribute-lft-in_binary64 associate-*l*_binary64
+-rgt-identity_binary64 +-lft-identity_binary64 associate-+r-_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 fabs-div_binary64 fabs-mul_binary64 fabs-sqr_binary64 fabs-neg_binary64 fabs-sub_binary64 fabs-fabs_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 --rgt-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_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-neg-out_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--l-_binary64 associate--l+_binary64 associate-+l+_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0814
11414
23414
35214
48014
512114
616314
718214
818414
915614
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
37.5%62.4%0.1%6
56.2%43.7%0.1%7
65.6%34.3%0.1%8
76.5%23.4%0.1%9
82%18%0.1%10
87.8%12.1%0.1%11
90.7%9.2%0.1%12
93.8%6.1%0.1%13
95.3%4.6%0.1%14
Compiler

Compiled 6 to 6 computations (0% saved)

sample16.0ms (0.9%)

Algorithm
intervals
Results
8.0ms250×body128valid
0.0msbody2048valid
0.0msbody1024valid
0.0msbody128invalid
Compiler

Compiled 11 to 13 computations (-18.2% saved)

simplify15.0ms (0.8%)

Algorithm
egg-herbie
Rules
32×distribute-rgt-in_binary64
26×cancel-sign-sub-inv_binary64
22×sub-neg_binary64
19×neg-mul-1_binary64 distribute-lft-in_binary64
18×associate--r+_binary64
17×neg-sub0_binary64 distribute-lft-neg-out_binary64
15×unsub-neg_binary64 distribute-neg-in_binary64
13×distribute-rgt-neg-out_binary64
12×distribute-rgt-neg-in_binary64
*-commutative_binary64
associate-*r*_binary64 associate--r-_binary64 associate-+l-_binary64
distribute-lft-neg-in_binary64
sub0-neg_binary64
remove-double-neg_binary64 associate-*l*_binary64
*-lft-identity_binary64 +-commutative_binary64
+-lft-identity_binary64 associate-+l+_binary64
*-rgt-identity_binary64 --rgt-identity_binary64 associate--l+_binary64
1-exp_binary64 +-rgt-identity_binary64 distribute-rgt-out--_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 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 fabs-div_binary64 fabs-mul_binary64 fabs-sqr_binary64 fabs-neg_binary64 fabs-sub_binary64 fabs-fabs_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 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_binary64 distribute-neg-frac_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 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--l-_binary64
Counts
1 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
197
2207
3347
4487
5737
61137
71507
81737
91937
101847
111567

prune1.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done000
Total011
Error
0.0b
Counts
1 → 1
Compiler

Compiled 5 to 5 computations (0% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b
(*.f64 200 (-.f64 x y))

rewrite30.0ms (1.7%)

Algorithm
rewrite-expression-head
Error
0b
Rules
add-sqr-sqrt_binary64
*-un-lft-identity_binary64
cancel-sign-sub-inv_binary64
add-cube-cbrt_binary64 associate-*r*_binary64
distribute-rgt-in_binary64 distribute-lft-in_binary64
pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 associate-*l*_binary64
sub-neg_binary64 associate-*r/_binary64
pow-prod-down_binary64 prod-exp_binary64 add-log-exp_binary64 cbrt-unprod_binary64 unswap-sqr_binary64 flip3--_binary64 flip--_binary64 difference-of-squares_binary64 distribute-lft-out--_binary64 *-commutative_binary64
Counts
1 → 30
Calls

1 calls:

7.0ms
(*.f64 200 (-.f64 x y))
Compiler

Compiled 317 to 175 computations (44.8% saved)

series23.0ms (1.3%)

Error
0.0b
Counts
1 → 12
Calls

1 calls:

19.0ms
(*.f64 200 (-.f64 x y))
Compiler

Compiled 115 to 119 computations (-3.5% saved)

simplify51.0ms (2.9%)

Algorithm
egg-herbie
Rules
555×unsub-neg_binary64
539×distribute-rgt-neg-out_binary64
501×*-commutative_binary64
332×distribute-neg-out_binary64
281×associate-*l*_binary64
263×neg-sub0_binary64
257×associate-*r*_binary64
245×neg-mul-1_binary64
178×distribute-lft-neg-out_binary64
132×distribute-rgt-in_binary64
128×distribute-lft-in_binary64
122×sqr-pow_binary64
114×unswap-sqr_binary64
90×exp-prod_binary64
80×associate-+r+_binary64
68×distribute-neg-in_binary64
62×cancel-sign-sub-inv_binary64
61×associate-+l+_binary64
53×swap-sqr_binary64
49×sub-neg_binary64
41×+-commutative_binary64
37×exp-sum_binary64
26×distribute-rgt-out_binary64
24×distribute-lft-out_binary64
22×pow-sqr_binary64 distribute-lft-neg-in_binary64
21×exp-diff_binary64
19×div-sub_binary64
18×distribute-rgt-neg-in_binary64
17×difference-of-squares_binary64
13×+-rgt-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64
11×sub0-neg_binary64
10×sqr-neg_binary64
cube-unmult_binary64 mul-1-neg_binary64 associate-+l-_binary64
times-frac_binary64
associate-+r-_binary64
pow-plus_binary64 distribute-frac-neg_binary64
cube-prod_binary64 remove-double-neg_binary64
unpow3_binary64
--rgt-identity_binary64 distribute-neg-frac_binary64 associate-/l*_binary64
exp-neg_binary64 cube-mult_binary64 cube-neg_binary64 rem-sqrt-square_binary64 associate-*r/_binary64 associate--r+_binary64
log-prod_binary64 1-exp_binary64 rem-3cbrt-lft_binary64 rem-square-sqrt_binary64 +-lft-identity_binary64 cancel-sign-sub_binary64 distribute-rgt-out--_binary64 distribute-lft-out--_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 unpow1/2_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 div-exp_binary64 rec-exp_binary64 prod-exp_binary64 e-exp-1_binary64 exp-1-e_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-div_binary64 rem-3cbrt-rft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 fabs-div_binary64 fabs-mul_binary64 fabs-sqr_binary64 fabs-neg_binary64 fabs-sub_binary64 fabs-fabs_binary64 sqr-abs_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 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 count-2_binary64 associate-/r/_binary64 associate-/r*_binary64 associate--r-_binary64 associate--l-_binary64 associate--l+_binary64
Counts
42 → 23
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
072367
1154343
2344343
31347343
42212343
54959343

prune9.0ms (0.5%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New20323
Fresh000
Picked101
Done000
Total21324
Error
0.0b
Counts
24 → 3
Compiler

Compiled 96 to 73 computations (24% saved)

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.0b
(+.f64 (*.f64 200 x) (*.f64 -200 y))

rewrite15.0ms (0.9%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
add-log-exp_binary64
sum-log_binary64 pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64 flip3-+_binary64 *-un-lft-identity_binary64 flip-+_binary64 +-commutative_binary64
Counts
1 → 11
Calls

1 calls:

4.0ms
(+.f64 (*.f64 200 x) (*.f64 -200 y))
Compiler

Compiled 178 to 138 computations (22.5% saved)

series21.0ms (1.2%)

Error
0.0b
Counts
1 → 12
Calls

1 calls:

19.0ms
(+.f64 (*.f64 200 x) (*.f64 -200 y))
Compiler

Compiled 115 to 119 computations (-3.5% saved)

simplify76.0ms (4.3%)

Algorithm
egg-herbie
Rules
512×distribute-rgt-neg-out_binary64
402×distribute-rgt-in_binary64
364×distribute-lft-in_binary64
336×times-frac_binary64
320×*-commutative_binary64
284×associate-*l*_binary64
257×distribute-rgt-out_binary64
248×associate-*r*_binary64
206×neg-sub0_binary64
197×distribute-neg-in_binary64
184×neg-mul-1_binary64
151×distribute-lft-out_binary64
131×cancel-sign-sub-inv_binary64
126×distribute-lft-neg-out_binary64
106×unswap-sqr_binary64
104×sub-neg_binary64
97×distribute-rgt-neg-in_binary64
92×associate-+l+_binary64
90×associate-+r+_binary64
89×distribute-lft-neg-in_binary64
88×remove-double-neg_binary64
76×sqr-pow_binary64
60×cancel-sign-sub_binary64
59×unsub-neg_binary64
56×exp-prod_binary64
54×cube-prod_binary64
45×distribute-rgt-out--_binary64
36×mul0-rgt_binary64 mul0-lft_binary64
32×+-commutative_binary64
28×distribute-neg-out_binary64
27×exp-sum_binary64
22×exp-diff_binary64
20×associate-+l-_binary64
18×associate-+r-_binary64
17×pow-sqr_binary64 swap-sqr_binary64
13×cube-neg_binary64
12×unpow3_binary64 sub0-neg_binary64
11×distribute-lft-out--_binary64
10×div-sub_binary64
cube-mult_binary64 +-rgt-identity_binary64
cube-unmult_binary64 sqr-neg_binary64
difference-of-squares_binary64
associate--r-_binary64
exp-neg_binary64 distribute-frac-neg_binary64
pow-plus_binary64 --rgt-identity_binary64 associate-*r/_binary64 associate--l-_binary64
log-prod_binary64 associate-/l/_binary64 associate-/l*_binary64 associate-/r*_binary64 associate--r+_binary64
*-lft-identity_binary64 associate-/r/_binary64 associate-*l/_binary64 associate--l+_binary64
prod-exp_binary64 1-exp_binary64 exp-1-e_binary64 *-rgt-identity_binary64
not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 log-pow_binary64 log-rec_binary64 log-div_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-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 div-exp_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 fabs-div_binary64 fabs-mul_binary64 fabs-sqr_binary64 fabs-neg_binary64 fabs-sub_binary64 fabs-fabs_binary64 sqr-abs_binary64 rem-sqrt-square_binary64 rem-square-sqrt_binary64 mul-1-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 distribute-neg-frac_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 count-2_binary64
Counts
23 → 14
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
031232
1117208
2365208
31190204
43335204
54571204
64998204

prune7.0ms (0.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New13114
Fresh022
Picked011
Done000
Total13417
Error
0.0b
Counts
17 → 4
Compiler

Compiled 128 to 90 computations (29.7% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.2b
(*.f64 (-.f64 x y) (sqrt.f64 200))
0.3b
(*.f64 (sqrt.f64 200) (*.f64 (-.f64 x y) (sqrt.f64 200)))

rewrite53.0ms (3%)

Algorithm
rewrite-expression-head
Error
0b
Rules
13×add-sqr-sqrt_binary64
11×associate-*l*_binary64
pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 *-un-lft-identity_binary64
add-cube-cbrt_binary64 sqrt-prod_binary64 associate-*r*_binary64
pow-prod-down_binary64 prod-exp_binary64 cbrt-unprod_binary64 associate-*l/_binary64
add-log-exp_binary64 flip3--_binary64 associate-*r/_binary64 flip--_binary64 *-commutative_binary64 unswap-sqr_binary64
difference-of-squares_binary64 distribute-lft-out--_binary64
Counts
2 → 49
Calls

2 calls:

13.0ms
(*.f64 (sqrt.f64 200) (*.f64 (-.f64 x y) (sqrt.f64 200)))
7.0ms
(*.f64 (-.f64 x y) (sqrt.f64 200))
Compiler

Compiled 676 to 461 computations (31.8% saved)

series67.0ms (3.8%)

Error
0.0b
Counts
2 → 24
Calls

2 calls:

35.0ms
(*.f64 (sqrt.f64 200) (*.f64 (-.f64 x y) (sqrt.f64 200)))
25.0ms
(*.f64 (-.f64 x y) (sqrt.f64 200))
Compiler

Compiled 445 to 451 computations (-1.3% saved)

simplify79.0ms (4.5%)

Algorithm
egg-herbie
Rules
776×unsub-neg_binary64
503×associate-*l*_binary64
476×neg-sub0_binary64
448×neg-mul-1_binary64
412×associate-*r*_binary64
262×distribute-rgt-in_binary64
260×distribute-lft-in_binary64
239×distribute-rgt-neg-out_binary64
217×distribute-lft-neg-out_binary64
156×exp-prod_binary64
107×*-commutative_binary64
91×+-commutative_binary64
84×associate-+l+_binary64
72×associate-+r+_binary64
55×unswap-sqr_binary64
54×exp-sum_binary64
53×sqr-pow_binary64
35×log-prod_binary64 sub-neg_binary64 cancel-sign-sub-inv_binary64
33×cube-prod_binary64
30×distribute-lft-neg-in_binary64
29×*-rgt-identity_binary64
28×exp-neg_binary64 swap-sqr_binary64
27×exp-diff_binary64
25×div-sub_binary64 *-lft-identity_binary64
24×associate-/l*_binary64
22×distribute-rgt-neg-in_binary64
21×distribute-rgt-out_binary64 distribute-lft-out_binary64
18×sqr-neg_binary64
15×times-frac_binary64
13×mul-1-neg_binary64
10×cube-unmult_binary64 associate-/r*_binary64
associate-+r-_binary64
associate-*r/_binary64 associate-+l-_binary64
unpow3_binary64 pow-sqr_binary64
sub0-neg_binary64 +-rgt-identity_binary64 difference-of-squares_binary64 associate-/l/_binary64
distribute-rgt-out--_binary64
unpow1/2_binary64 cube-mult_binary64 rem-sqrt-square_binary64 associate-/r/_binary64
log-pow_binary64 cube-neg_binary64 fabs-mul_binary64 count-2_binary64
associate-*l/_binary64
unpow2_binary64 pow-plus_binary64 unpow1_binary64 1-exp_binary64 exp-1-e_binary64 fabs-sqr_binary64 rem-square-sqrt_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-rec_binary64 log-div_binary64 pow-base-0_binary64 unpow1/3_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 div-exp_binary64 rec-exp_binary64 prod-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 fabs-div_binary64 fabs-neg_binary64 fabs-sub_binary64 fabs-fabs_binary64 sqr-abs_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 cancel-sign-sub_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-neg-in_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 associate--r-_binary64 associate--l-_binary64 associate--l+_binary64 associate--r+_binary64
Counts
73 → 63
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
082892
1186719
2564719
31927711
43659711
55419711

prune31.0ms (1.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New62163
Fresh202
Picked011
Done011
Total64367
Error
0b
Counts
67 → 3
Compiler

Compiled 447 to 291 computations (34.9% saved)

localize11.0ms (0.6%)

Local error

Found 3 expressions with local error:

0.1b
(*.f64 (-.f64 x y) (sqrt.f64 (cbrt.f64 200)))
0.3b
(*.f64 (sqrt.f64 (*.f64 (cbrt.f64 200) (cbrt.f64 200))) (*.f64 (sqrt.f64 200) (*.f64 (-.f64 x y) (sqrt.f64 (cbrt.f64 200)))))
0.3b
(*.f64 (sqrt.f64 200) (*.f64 (-.f64 x y) (sqrt.f64 (cbrt.f64 200))))

rewrite115.0ms (6.5%)

Algorithm
rewrite-expression-head
Error
0b
Rules
19×pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
18×add-sqr-sqrt_binary64
15×associate-*l*_binary64
12×*-un-lft-identity_binary64 sqrt-prod_binary64
11×associate-*r*_binary64
10×pow-prod-down_binary64 prod-exp_binary64 add-cube-cbrt_binary64 cbrt-unprod_binary64
associate-*l/_binary64 associate-*r/_binary64
cbrt-prod_binary64
add-log-exp_binary64 flip3--_binary64 flip--_binary64 *-commutative_binary64 unswap-sqr_binary64
difference-of-squares_binary64 distribute-lft-out--_binary64
Counts
3 → 77
Calls

3 calls:

18.0ms
(*.f64 (sqrt.f64 (*.f64 (cbrt.f64 200) (cbrt.f64 200))) (*.f64 (sqrt.f64 200) (*.f64 (-.f64 x y) (sqrt.f64 (cbrt.f64 200)))))
11.0ms
(*.f64 (sqrt.f64 200) (*.f64 (-.f64 x y) (sqrt.f64 (cbrt.f64 200))))
9.0ms
(*.f64 (-.f64 x y) (sqrt.f64 (cbrt.f64 200)))
Compiler

Compiled 1735 to 1390 computations (19.9% saved)

series160.0ms (9.1%)

Error
0b
Counts
3 → 36
Calls

3 calls:

60.0ms
(*.f64 (sqrt.f64 (*.f64 (cbrt.f64 200) (cbrt.f64 200))) (*.f64 (sqrt.f64 200) (*.f64 (-.f64 x y) (sqrt.f64 (cbrt.f64 200)))))
49.0ms
(*.f64 (sqrt.f64 200) (*.f64 (-.f64 x y) (sqrt.f64 (cbrt.f64 200))))
35.0ms
(*.f64 (-.f64 x y) (sqrt.f64 (cbrt.f64 200)))
Compiler

Compiled 1292 to 1292 computations (0% saved)

simplify116.0ms (6.6%)

Algorithm
egg-herbie
Rules
463×distribute-rgt-in_binary64
458×distribute-lft-in_binary64
442×*-commutative_binary64
355×distribute-lft-neg-out_binary64
348×distribute-rgt-neg-out_binary64
223×associate-*r*_binary64
200×exp-prod_binary64
198×associate-*l*_binary64
89×sqr-pow_binary64
71×log-prod_binary64 neg-sub0_binary64
68×neg-mul-1_binary64
66×swap-sqr_binary64
60×unsub-neg_binary64
59×exp-sum_binary64
56×cube-prod_binary64
49×sub-neg_binary64
46×cancel-sign-sub-inv_binary64
40×*-rgt-identity_binary64
38×*-lft-identity_binary64
27×+-commutative_binary64
25×associate-+l+_binary64
24×associate-+r+_binary64
22×div-sub_binary64
19×unswap-sqr_binary64 distribute-rgt-neg-in_binary64
16×exp-diff_binary64
15×unpow3_binary64
13×pow-sqr_binary64
11×cube-mult_binary64 distribute-lft-neg-in_binary64
associate-/l*_binary64
+-rgt-identity_binary64 associate-+r-_binary64
sub0-neg_binary64 associate-+l-_binary64
cube-unmult_binary64 difference-of-squares_binary64
distribute-rgt-out--_binary64
exp-neg_binary64 sqr-neg_binary64 distribute-rgt-out_binary64
unpow1/2_binary64 rem-sqrt-square_binary64 rem-square-sqrt_binary64 mul-1-neg_binary64
log-pow_binary64
unpow2_binary64 pow-plus_binary64 1-exp_binary64 exp-1-e_binary64 rem-cube-cbrt_binary64 fabs-mul_binary64 fabs-sqr_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-rec_binary64 log-div_binary64 pow-base-0_binary64 unpow1/3_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 div-exp_binary64 rec-exp_binary64 prod-exp_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 fabs-div_binary64 fabs-neg_binary64 fabs-sub_binary64 fabs-fabs_binary64 sqr-abs_binary64 times-frac_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 cancel-sign-sub_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-neg-in_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 distribute-lft-out_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 associate--l+_binary64 associate--r+_binary64
Counts
113 → 94
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01402167
13201719
210321695
329681695
449441695
549971695

prune52.0ms (2.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New94094
Fresh000
Picked011
Done022
Total94397
Error
0b
Counts
97 → 3
Compiler

Compiled 1014 to 796 computations (21.5% saved)

regimes266.0ms (15.1%)

Accuracy

Total 0.0b remaining (72.2%)

Threshold costs 0.0b (72.2%)

Compiler

Compiled 2322 to 2208 computations (4.9% 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 fabs-div_binary64 fabs-mul_binary64 fabs-sqr_binary64 fabs-neg_binary64 fabs-sub_binary64 fabs-fabs_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
0710
11510
22310
32710
43010
53110
63010

end2.0ms (0.1%)

Compiler

Compiled 7 to 7 computations (0% saved)

sample432.0ms (24.6%)

Algorithm
intervals
Results
146.0ms7858×body128valid
3.0ms51×body1024valid
3.0ms44×body2048valid
1.0ms33×body512valid
1.0ms63×body128invalid
0.0ms14×body256valid
Compiler

Compiled 46 to 48 computations (-4.3% saved)

Profiling

Loading profile data...