Details

Time bar (total: 2.5s)

analyze424.0ms (17.3%)

Algorithm
search
egg-herbie
Rules
181×associate-+l+_binary64
122×associate-+r+_binary64
94×distribute-lft-out_binary64
67×+-commutative_binary64
66×distribute-rgt-in_binary64
52×*-commutative_binary64
44×distribute-rgt-out_binary64
10×distribute-lft-in_binary64
swap-d2-d3
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 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-*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
02876
15664
212540
326040
437540
535740
635540
033
133
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
0%99.9%0.1%5
0%99.9%0.1%6
12.5%87.4%0.1%7
37.4%62.4%0.1%8
40.6%57.7%1.7%9
45.2%51.1%3.7%10
57.7%33.5%8.7%11
59.7%29.4%10.9%12
62%25%13%13
68.3%17.4%14.4%14
Symmetry

(sort d2 d3)

Compiler

Compiled 14 to 12 computations (14.3% saved)

sample26.0ms (1.1%)

Algorithm
intervals
Results
9.0ms255×body128valid
0.0ms13×body128invalid
0.0msbody1024valid
Compiler

Compiled 27 to 26 computations (3.7% saved)

simplify11.0ms (0.5%)

Algorithm
egg-herbie
Rules
61×associate-+l+_binary64
40×associate-+r+_binary64
34×distribute-lft-out_binary64
33×+-commutative_binary64
20×distribute-rgt-in_binary64
18×*-commutative_binary64
14×distribute-rgt-out_binary64
distribute-lft-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 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 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-*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: 2 (0.0ms)

IterNodesCost
01219
12016
24010
310110
415510
514910
613510

prune3.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.0b
Counts
2 → 2
Compiler

Compiled 27 to 25 computations (7.4% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b
(*.f64 d1 (+.f64 d2 (+.f64 d3 37)))

rewrite32.0ms (1.3%)

Algorithm
rewrite-expression-head
Error
0b
Rules
*-un-lft-identity_binary64
add-sqr-sqrt_binary64 associate-*r*_binary64
pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 add-cube-cbrt_binary64 associate-*l*_binary64 distribute-lft-out_binary64
associate-*r/_binary64
pow-prod-down_binary64 prod-exp_binary64 add-log-exp_binary64 cbrt-unprod_binary64 unswap-sqr_binary64 distribute-rgt-in_binary64 distribute-lft-in_binary64 flip3-+_binary64 flip-+_binary64 *-commutative_binary64
Counts
1 → 24
Calls

1 calls:

11.0ms
(*.f64 d1 (+.f64 d2 (+.f64 d3 37)))
Compiler

Compiled 300 to 192 computations (36% saved)

series35.0ms (1.4%)

Error
0.0b
Counts
1 → 15
Calls

1 calls:

28.0ms
(*.f64 d1 (+.f64 d2 (+.f64 d3 37)))
Compiler

Compiled 230 to 197 computations (14.3% saved)

simplify90.0ms (3.6%)

Algorithm
egg-herbie
Rules
569×distribute-rgt-in_binary64
557×distribute-lft-in_binary64
323×associate-*l*_binary64
300×sub-neg_binary64
294×unswap-sqr_binary64
265×rem-sqrt-square_binary64
250×associate-*r*_binary64
227×+-commutative_binary64
200×cancel-sign-sub-inv_binary64
194×distribute-neg-in_binary64
152×sqr-pow_binary64
133×neg-mul-1_binary64
125×neg-sub0_binary64
106×distribute-rgt-out_binary64
98×*-commutative_binary64
97×associate--r+_binary64
85×distribute-rgt-neg-in_binary64
77×associate-+l-_binary64
68×distribute-lft-neg-in_binary64
62×associate--l+_binary64
58×exp-prod_binary64
54×associate-+r+_binary64
53×distribute-lft-out_binary64
51×pow-sqr_binary64
50×unsub-neg_binary64
47×associate-+l+_binary64
38×associate-/l/_binary64
36×exp-sum_binary64
34×*-lft-identity_binary64
33×associate--l-_binary64
31×distribute-lft-neg-out_binary64
30×*-rgt-identity_binary64
26×div-sub_binary64
25×distribute-rgt-neg-out_binary64
24×associate-/r/_binary64
23×sub0-neg_binary64
21×distribute-rgt-out--_binary64
20×associate--r-_binary64
17×times-frac_binary64
16×associate-/l*_binary64
15×+-rgt-identity_binary64 associate-+r-_binary64
14×unpow1/2_binary64
12×swap-sqr_binary64
11×log-prod_binary64 cube-unmult_binary64 --rgt-identity_binary64
unpow3_binary64 cube-prod_binary64
exp-diff_binary64 remove-double-neg_binary64
log-div_binary64 pow-plus_binary64 cube-div_binary64 difference-of-squares_binary64 associate-*r/_binary64
distribute-lft-out--_binary64
exp-sqrt_binary64 cube-mult_binary64 sqr-neg_binary64 count-2_binary64 associate-/r*_binary64
1-exp_binary64 exp-1-e_binary64 cube-neg_binary64 cancel-sign-sub_binary64 distribute-neg-out_binary64 distribute-rgt1-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 erfc-erf_binary64 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 log-pow_binary64 log-rec_binary64 pow-base-0_binary64 unpow1/3_binary64 unpow2_binary64 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 div-exp_binary64 rec-exp_binary64 prod-exp_binary64 exp-neg_binary64 e-exp-1_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 rem-square-sqrt_binary64 mul-1-neg_binary64 /-rgt-identity_binary64 +-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
39 → 24
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
056453
1163411
2564411
32083411
42616411
53403411
64558411
74922411

prune16.0ms (0.6%)

Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New21324
Fresh011
Picked101
Done000
Total22426
Error
0b
Counts
26 → 4
Compiler

Compiled 241 to 165 computations (31.5% saved)

localize8.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 (*.f64 d1 d2) (*.f64 d1 (+.f64 d3 37)))
0.0b
(*.f64 d1 (+.f64 d3 37))

rewrite38.0ms (1.6%)

Algorithm
rewrite-expression-head
Error
0b
Rules
add-sqr-sqrt_binary64 *-un-lft-identity_binary64
pow1_binary64 add-exp-log_binary64 add-log-exp_binary64 add-cbrt-cube_binary64 add-cube-cbrt_binary64 associate-*r*_binary64
associate-*l*_binary64
distribute-rgt-in_binary64 distribute-lft-in_binary64 flip3-+_binary64 associate-*r/_binary64 flip-+_binary64 distribute-lft-out_binary64 associate-+r+_binary64
pow-prod-down_binary64 prod-exp_binary64 cbrt-unprod_binary64 unswap-sqr_binary64 *-commutative_binary64 sum-log_binary64 +-commutative_binary64
Counts
2 → 37
Calls

2 calls:

6.0ms
(*.f64 d1 (+.f64 d3 37))
4.0ms
(+.f64 (*.f64 d1 d2) (*.f64 d1 (+.f64 d3 37)))
Compiler

Compiled 557 to 303 computations (45.6% saved)

series61.0ms (2.5%)

Error
0b
Counts
2 → 24
Calls

2 calls:

31.0ms
(+.f64 (*.f64 d1 d2) (*.f64 d1 (+.f64 d3 37)))
17.0ms
(*.f64 d1 (+.f64 d3 37))
Compiler

Compiled 413 to 331 computations (19.9% saved)

simplify76.0ms (3.1%)

Algorithm
egg-herbie
Rules
807×sub-neg_binary64
508×distribute-rgt-in_binary64
489×distribute-lft-in_binary64
322×associate--r+_binary64
292×cancel-sign-sub-inv_binary64
256×associate--l+_binary64
217×*-commutative_binary64
184×unsub-neg_binary64
153×distribute-neg-in_binary64
140×distribute-rgt-out_binary64
133×neg-mul-1_binary64
130×neg-sub0_binary64
121×associate-+l+_binary64
119×distribute-rgt-neg-in_binary64
110×associate-+r+_binary64
99×associate-*l*_binary64
90×distribute-lft-neg-in_binary64
88×distribute-lft-out_binary64
82×associate-*r*_binary64
81×associate-+l-_binary64
68×associate-+r-_binary64
58×distribute-rgt-out--_binary64
57×sqr-pow_binary64
50×exp-prod_binary64
49×distribute-lft-neg-out_binary64
39×*-lft-identity_binary64
35×distribute-rgt-neg-out_binary64
34×*-rgt-identity_binary64
31×+-commutative_binary64
26×unswap-sqr_binary64
25×cube-prod_binary64
24×exp-sum_binary64
23×swap-sqr_binary64
21×distribute-lft-out--_binary64
17×log-prod_binary64
pow-sqr_binary64
unpow3_binary64
unpow1/2_binary64
cube-mult_binary64 +-rgt-identity_binary64 associate--r-_binary64
associate-/l*_binary64
sub0-neg_binary64 difference-of-squares_binary64
rem-sqrt-square_binary64 associate-/l/_binary64 associate-*r/_binary64
prod-exp_binary64 1-exp_binary64 exp-1-e_binary64 cube-unmult_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-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-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 times-frac_binary64 div-sub_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 cancel-sign-sub_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 associate-/r/_binary64 associate-/r*_binary64 associate-*l/_binary64 associate--l-_binary64
Counts
61 → 36
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
078627
1230600
2792597
32746594
44325594
55236594

prune24.0ms (1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New35136
Fresh123
Picked101
Done000
Total37340
Error
0b
Counts
40 → 3
Compiler

Compiled 314 to 192 computations (38.9% saved)

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 (*.f64 d1 d3) (*.f64 d1 37))
0.0b
(+.f64 (*.f64 d1 d2) (+.f64 (*.f64 d1 d3) (*.f64 d1 37)))

rewrite28.0ms (1.1%)

Algorithm
rewrite-expression-head
Error
0b
Rules
add-log-exp_binary64
sum-log_binary64
distribute-lft-out_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
associate-+r+_binary64
Counts
2 → 26
Calls

2 calls:

6.0ms
(+.f64 (*.f64 d1 d2) (+.f64 (*.f64 d1 d3) (*.f64 d1 37)))
3.0ms
(+.f64 (*.f64 d1 d3) (*.f64 d1 37))
Compiler

Compiled 526 to 241 computations (54.2% saved)

series53.0ms (2.2%)

Error
0b
Counts
2 → 24
Calls

2 calls:

33.0ms
(+.f64 (*.f64 d1 d2) (+.f64 (*.f64 d1 d3) (*.f64 d1 37)))
16.0ms
(+.f64 (*.f64 d1 d3) (*.f64 d1 37))
Compiler

Compiled 413 to 331 computations (19.9% saved)

simplify97.0ms (3.9%)

Algorithm
egg-herbie
Rules
537×associate-*l*_binary64
496×sub-neg_binary64
430×associate-*r*_binary64
388×distribute-rgt-in_binary64
360×cancel-sign-sub-inv_binary64
340×distribute-lft-in_binary64
304×+-commutative_binary64
169×distribute-rgt-neg-in_binary64
157×neg-mul-1_binary64
154×distribute-rgt-out--_binary64
142×unswap-sqr_binary64 distribute-lft-neg-in_binary64
135×*-commutative_binary64
123×associate--l+_binary64
110×distribute-lft-out_binary64
102×unsub-neg_binary64
96×associate--r+_binary64
94×sqr-pow_binary64 associate-+l-_binary64
90×distribute-rgt-out_binary64
82×neg-sub0_binary64
78×associate-+l+_binary64
76×distribute-neg-in_binary64
73×associate-+r-_binary64
63×associate-+r+_binary64
53×distribute-lft-neg-out_binary64
52×distribute-lft-out--_binary64
49×sub0-neg_binary64
46×exp-sum_binary64
43×exp-prod_binary64 +-rgt-identity_binary64
26×pow-sqr_binary64 distribute-rgt-neg-out_binary64
23×cube-prod_binary64
18×unpow3_binary64
14×exp-diff_binary64 swap-sqr_binary64
10×cube-mult_binary64
cube-unmult_binary64
log-prod_binary64 associate--l-_binary64
remove-double-neg_binary64 difference-of-squares_binary64
prod-exp_binary64 div-sub_binary64
pow-plus_binary64 cube-neg_binary64 sqr-neg_binary64 +-lft-identity_binary64 associate--r-_binary64
*-lft-identity_binary64 associate-/l/_binary64 associate-*r/_binary64
1-exp_binary64 cancel-sign-sub_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 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 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 rem-sqrt-square_binary64 rem-square-sqrt_binary64 times-frac_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 difference-of-sqr--1_binary64 difference-of-sqr-1_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-/r/_binary64 associate-/l*_binary64 associate-/r*_binary64 associate-*l/_binary64
Counts
50 → 31
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
061620
1217539
2794533
32894530
44314530
54861530
64984530

prune14.0ms (0.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New31031
Fresh022
Picked011
Done000
Total31334
Error
0b
Counts
34 → 3
Compiler

Compiled 316 to 199 computations (37% saved)

localize10.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b
(sqrt.f64 (+.f64 d2 (+.f64 d3 37)))
0.0b
(sqrt.f64 (+.f64 d3 (+.f64 d2 37)))
0.2b
(*.f64 d1 (sqrt.f64 (+.f64 d3 (+.f64 d2 37))))
0.3b
(*.f64 (*.f64 d1 (sqrt.f64 (+.f64 d3 (+.f64 d2 37)))) (sqrt.f64 (+.f64 d2 (+.f64 d3 37))))

rewrite105.0ms (4.3%)

Algorithm
rewrite-expression-head
Error
0b
Rules
31×*-un-lft-identity_binary64
21×sqrt-prod_binary64
18×sqrt-div_binary64
17×add-sqr-sqrt_binary64
16×associate-*r*_binary64
13×pow1_binary64
12×distribute-lft-out_binary64
11×add-exp-log_binary64 add-cbrt-cube_binary64 add-cube-cbrt_binary64
10×associate-*r/_binary64
flip3-+_binary64 flip-+_binary64
pow-prod-down_binary64 prod-exp_binary64 add-log-exp_binary64 cbrt-unprod_binary64 frac-times_binary64 associate-*l*_binary64
associate-*l/_binary64 *-commutative_binary64 unswap-sqr_binary64 pow1/2_binary64 sqrt-pow1_binary64 rem-sqrt-square_binary64
Counts
4 → 91
Calls

4 calls:

15.0ms
(*.f64 (*.f64 d1 (sqrt.f64 (+.f64 d3 (+.f64 d2 37)))) (sqrt.f64 (+.f64 d2 (+.f64 d3 37))))
9.0ms
(*.f64 d1 (sqrt.f64 (+.f64 d3 (+.f64 d2 37))))
5.0ms
(sqrt.f64 (+.f64 d3 (+.f64 d2 37)))
5.0ms
(sqrt.f64 (+.f64 d2 (+.f64 d3 37)))
Compiler

Compiled 1946 to 1345 computations (30.9% saved)

series125.0ms (5.1%)

Error
0b
Counts
4 → 45
Calls

4 calls:

38.0ms
(*.f64 d1 (sqrt.f64 (+.f64 d3 (+.f64 d2 37))))
29.0ms
(*.f64 (*.f64 d1 (sqrt.f64 (+.f64 d3 (+.f64 d2 37)))) (sqrt.f64 (+.f64 d2 (+.f64 d3 37))))
21.0ms
(sqrt.f64 (+.f64 d2 (+.f64 d3 37)))
21.0ms
(sqrt.f64 (+.f64 d3 (+.f64 d2 37)))
Compiler

Compiled 1772 to 1455 computations (17.9% saved)

simplify106.0ms (4.3%)

Algorithm
egg-herbie
Rules
679×associate-+r+_binary64
576×distribute-rgt-in_binary64
544×distribute-lft-in_binary64
331×*-commutative_binary64
220×associate--l+_binary64
212×associate-*l*_binary64
160×associate-*r*_binary64
158×associate--r+_binary64
149×cancel-sign-sub-inv_binary64
148×sub-neg_binary64
144×associate-+l-_binary64
106×associate-+r-_binary64
81×distribute-rgt-neg-in_binary64
79×associate-+l+_binary64
73×distribute-lft-neg-in_binary64
64×unsub-neg_binary64
61×+-commutative_binary64
58×sqr-pow_binary64
48×distribute-neg-in_binary64
46×*-lft-identity_binary64
44×exp-prod_binary64
40×unswap-sqr_binary64
38×neg-mul-1_binary64 neg-sub0_binary64
34×*-rgt-identity_binary64
30×distribute-rgt-out_binary64
27×distribute-rgt-out--_binary64
24×swap-sqr_binary64 distribute-lft-neg-out_binary64
20×cube-prod_binary64 distribute-rgt-neg-out_binary64
18×log-prod_binary64 exp-sum_binary64 +-rgt-identity_binary64
17×associate-/r*_binary64
16×associate--l-_binary64
11×pow-sqr_binary64
sub0-neg_binary64
associate-/l*_binary64
unpow3_binary64 cube-unmult_binary64 difference-of-squares_binary64
rem-sqrt-square_binary64 distribute-lft-out_binary64 associate-/l/_binary64
cube-mult_binary64 distribute-neg-out_binary64 distribute-lft-out--_binary64 associate--r-_binary64
unpow1/2_binary64
pow-plus_binary64 rem-square-sqrt_binary64 count-2_binary64 associate-*r/_binary64
unpow2_binary64 unpow1_binary64 1-exp_binary64 exp-1-e_binary64 associate-/r/_binary64
not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 log-pow_binary64 log-rec_binary64 log-div_binary64 pow-base-0_binary64 unpow1/3_binary64 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-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 times-frac_binary64 div-sub_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 cancel-sign-sub_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 associate-*l/_binary64
Counts
136 → 73
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01612368
14182100
211782091
332522088
454982088

prune39.0ms (1.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New73073
Fresh011
Picked011
Done011
Total73376
Error
0b
Counts
76 → 3
Compiler

Compiled 1084 to 754 computations (30.4% saved)

regimes321.0ms (13.1%)

Accuracy

Total 0.0b remaining (53.2%)

Threshold costs 0.0b (53.2%)

Compiler

Compiled 2781 to 2540 computations (8.7% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

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
01016
11516
21516

end6.0ms (0.2%)

Remove

(sort d2 d3)

Compiler

Compiled 33 to 27 computations (18.2% saved)

sample691.0ms (28.2%)

Algorithm
intervals
Results
281.0ms7961×body128valid
21.0ms643×body128invalid
2.0ms15×body1024valid
1.0ms13×body512valid
1.0ms11×body256valid
Compiler

Compiled 72 to 74 computations (-2.8% saved)

Profiling

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