Details

Time bar (total: 3.5s)

analyze625.0ms (17.8%)

Algorithm
search
egg-herbie
Rules
40×+-commutative_binary64
19×associate-+l+_binary64 associate-+r+_binary64
14×distribute-rgt-in_binary64 distribute-lft-in_binary64
13×*-commutative_binary64
12×associate-*l*_binary64
associate-*r*_binary64
not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 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-rgt-out_binary64 distribute-lft-out--_binary64 distribute-lft-out_binary64 count-2_binary64 associate-/l/_binary64 associate-/r/_binary64 associate-/l*_binary64 associate-/r*_binary64 associate-*l/_binary64 associate-*r/_binary64 associate--r-_binary64 associate--l-_binary64 associate--l+_binary64 associate--r+_binary64 associate-+l-_binary64 associate-+r-_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03291
15591
29791
314791
414791
514791
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
3.1%96.7%0.2%8
7.8%92%0.2%9
11.7%88.1%0.2%10
24.2%64.7%11.1%11
27.9%59.8%12.3%12
35%52.5%12.5%13
38.6%48.2%13.2%14
Compiler

Compiled 10 to 9 computations (10% saved)

sample26.0ms (0.7%)

Algorithm
intervals
Results
12.0ms256×body128valid
1.0ms42×body128invalid
Compiler

Compiled 19 to 21 computations (-10.5% saved)

simplify10.0ms (0.3%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
associate-+l+_binary64 associate-+r+_binary64
*-commutative_binary64
distribute-rgt-in_binary64 distribute-lft-in_binary64 associate-*l*_binary64
associate-*r*_binary64
not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 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-rgt-out_binary64 distribute-lft-out--_binary64 distribute-lft-out_binary64 count-2_binary64 associate-/l/_binary64 associate-/r/_binary64 associate-/l*_binary64 associate-/r*_binary64 associate-*l/_binary64 associate-*r/_binary64 associate--r-_binary64 associate--l-_binary64 associate--l+_binary64 associate--r+_binary64 associate-+l-_binary64 associate-+r-_binary64
Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0913
11313
22113
33013
43013
53013

prune2.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112
Error
0.1b
Counts
2 → 1
Compiler

Compiled 18 to 16 computations (11.1% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 (*.f64 x y) z)
0.1b
(*.f64 (+.f64 (*.f64 x y) z) y)

rewrite41.0ms (1.2%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
add-sqr-sqrt_binary64
pow1_binary64 add-exp-log_binary64 add-log-exp_binary64 add-cbrt-cube_binary64 add-cube-cbrt_binary64 *-un-lft-identity_binary64
associate-*l*_binary64 associate-*r*_binary64
flip3-+_binary64 associate-*l/_binary64 flip-+_binary64
pow-prod-down_binary64 prod-exp_binary64 cbrt-unprod_binary64 unswap-sqr_binary64 *-commutative_binary64 sum-log_binary64 +-commutative_binary64
Counts
2 → 31
Calls

2 calls:

7.0ms
(*.f64 (+.f64 (*.f64 x y) z) y)
4.0ms
(+.f64 (*.f64 x y) z)
Compiler

Compiled 498 to 131 computations (73.7% saved)

series64.0ms (1.8%)

Error
0.0b
Counts
2 → 36
Calls

2 calls:

33.0ms
(*.f64 (+.f64 (*.f64 x y) z) y)
25.0ms
(+.f64 (*.f64 x y) z)
Compiler

Compiled 509 to 468 computations (8.1% saved)

simplify124.0ms (3.5%)

Algorithm
egg-herbie
Rules
490×associate-+l+_binary64
413×associate-+r+_binary64
338×unswap-sqr_binary64
306×associate-*l*_binary64 *-commutative_binary64
239×associate-*r*_binary64
227×distribute-rgt-out_binary64
203×cancel-sign-sub-inv_binary64
191×sqr-pow_binary64
149×distribute-rgt-in_binary64
148×sub-neg_binary64
142×distribute-lft-in_binary64
140×neg-mul-1_binary64
129×distribute-rgt-neg-in_binary64
125×+-commutative_binary64
121×exp-prod_binary64
104×unsub-neg_binary64
102×distribute-lft-neg-in_binary64
80×neg-sub0_binary64
62×pow-sqr_binary64
57×cube-prod_binary64
54×distribute-neg-in_binary64
49×distribute-lft-out_binary64 associate-+l-_binary64
40×exp-sum_binary64 times-frac_binary64
39×log-prod_binary64 cancel-sign-sub_binary64 associate--r+_binary64
36×distribute-rgt-out--_binary64
34×distribute-neg-out_binary64
33×associate-+r-_binary64
30×div-sub_binary64
28×rem-sqrt-square_binary64 swap-sqr_binary64
27×distribute-lft-neg-out_binary64
26×difference-of-squares_binary64
25×sub0-neg_binary64
24×*-rgt-identity_binary64 *-lft-identity_binary64 associate-/l*_binary64
19×associate-/l/_binary64
18×distribute-rgt-neg-out_binary64
16×remove-double-neg_binary64
15×unpow3_binary64 exp-diff_binary64
14×unpow1/2_binary64
12×+-rgt-identity_binary64
11×cube-unmult_binary64 +-lft-identity_binary64 associate--l+_binary64
10×pow-plus_binary64 associate-/r/_binary64 associate-*r/_binary64
associate-/r*_binary64
cube-mult_binary64 cube-neg_binary64 sqr-neg_binary64 associate--r-_binary64
log-pow_binary64
unpow2_binary64 distribute-rgt1-in_binary64
count-2_binary64 associate-*l/_binary64 associate--l-_binary64
distribute-lft-out--_binary64
unpow1_binary64 prod-exp_binary64 1-exp_binary64 exp-1-e_binary64 /-rgt-identity_binary64 --rgt-identity_binary64 mul0-rgt_binary64 distribute-frac-neg_binary64 distribute-lft1-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-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 exp-neg_binary64 e-exp-1_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-div_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 rem-square-sqrt_binary64 mul-1-neg_binary64 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
Counts
67 → 53
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
057727
1149637
2436634
31276634
41936634
54119634
64669634
74989634
84889634

prune25.0ms (0.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New50353
Fresh000
Picked011
Done000
Total50454
Error
0.0b
Counts
54 → 4
Compiler

Compiled 458 to 153 computations (66.6% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

9.1b
(*.f64 x (*.f64 y y))

rewrite18.0ms (0.5%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
pow-prod-down_binary64 prod-exp_binary64 cbrt-unprod_binary64 add-sqr-sqrt_binary64 associate-*l*_binary64
add-cube-cbrt_binary64 *-un-lft-identity_binary64
add-log-exp_binary64 unswap-sqr_binary64 associate-*r*_binary64 *-commutative_binary64
Counts
1 → 19
Calls

1 calls:

5.0ms
(*.f64 x (*.f64 y y))
Compiler

Compiled 204 to 68 computations (66.7% saved)

series19.0ms (0.5%)

Error
0.0b
Counts
1 → 6
Calls

1 calls:

17.0ms
(*.f64 x (*.f64 y y))
Compiler

Compiled 91 to 104 computations (-14.3% saved)

simplify70.0ms (2%)

Algorithm
egg-herbie
Rules
690×associate-/l/_binary64
564×associate-/r/_binary64
350×distribute-rgt-in_binary64
330×unswap-sqr_binary64
315×distribute-lft-in_binary64
255×*-commutative_binary64
209×log-prod_binary64
204×associate-*l*_binary64
192×sqr-pow_binary64
152×times-frac_binary64
138×associate-*r*_binary64
117×associate-/l*_binary64
116×associate-+l+_binary64
87×pow-sqr_binary64
73×associate-+r+_binary64
58×distribute-rgt-out_binary64
53×exp-prod_binary64
48×associate-/r*_binary64
43×log-div_binary64
42×cube-prod_binary64
40×associate-*r/_binary64
27×log-pow_binary64
26×distribute-lft-out_binary64
20×associate-*l/_binary64
19×count-2_binary64
18×unpow3_binary64
17×pow-plus_binary64 *-lft-identity_binary64
16×+-commutative_binary64
14×cube-mult_binary64
10×*-rgt-identity_binary64
distribute-rgt1-in_binary64
swap-sqr_binary64
cube-unmult_binary64
/-rgt-identity_binary64 distribute-lft1-in_binary64
unpow2_binary64
unpow1/2_binary64 unpow1_binary64 1-exp_binary64 rem-sqrt-square_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 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 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-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 div-sub_binary64 neg-mul-1_binary64 neg-sub0_binary64 unsub-neg_binary64 sub-neg_binary64 mul-1-neg_binary64 remove-double-neg_binary64 sub0-neg_binary64 --rgt-identity_binary64 +-rgt-identity_binary64 +-lft-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64 div0_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 difference-of-squares_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-rgt-out--_binary64 distribute-lft-out--_binary64 associate--r-_binary64 associate--l-_binary64 associate--l+_binary64 associate--r+_binary64 associate-+l-_binary64 associate-+r-_binary64
Counts
25 → 14
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
035255
175210
2190210
3428210
4666210
51218210
62094210
74843210
85061210

prune8.0ms (0.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New13114
Fresh022
Picked011
Done011
Total13518
Error
0.0b
Counts
18 → 5
Compiler

Compiled 123 to 64 computations (48% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b
(*.f64 y (+.f64 z (*.f64 y x)))
0.2b
(*.f64 (sqrt.f64 (*.f64 y (+.f64 z (*.f64 y x)))) (sqrt.f64 (*.f64 y (+.f64 z (*.f64 y x)))))
7.9b
(sqrt.f64 (*.f64 y (+.f64 z (*.f64 y x))))
7.9b
(sqrt.f64 (*.f64 y (+.f64 z (*.f64 y x))))

rewrite120.0ms (3.4%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
61×pow1_binary64
32×sqrt-pow1_binary64
23×pow-prod-down_binary64
20×associate-*r/_binary64
16×sqrt-div_binary64
14×add-sqr-sqrt_binary64
12×pow1/2_binary64
10×add-cube-cbrt_binary64 *-un-lft-identity_binary64 pow-prod-up_binary64
flip3-+_binary64 flip-+_binary64
add-exp-log_binary64 add-cbrt-cube_binary64
associate-*l*_binary64 associate-*r*_binary64
sqrt-prod_binary64 pow-sqr_binary64
add-log-exp_binary64 frac-times_binary64 swap-sqr_binary64
prod-exp_binary64 cbrt-unprod_binary64 unswap-sqr_binary64 associate-*l/_binary64 *-commutative_binary64
pow2_binary64 pow-plus_binary64 sqrt-unprod_binary64 rem-square-sqrt_binary64 distribute-rgt-in_binary64 distribute-lft-in_binary64
Counts
4 → 105
Calls

4 calls:

13.0ms
(*.f64 (sqrt.f64 (*.f64 y (+.f64 z (*.f64 y x)))) (sqrt.f64 (*.f64 y (+.f64 z (*.f64 y x)))))
5.0ms
(*.f64 y (+.f64 z (*.f64 y x)))
4.0ms
(sqrt.f64 (*.f64 y (+.f64 z (*.f64 y x))))
4.0ms
(sqrt.f64 (*.f64 y (+.f64 z (*.f64 y x))))
Compiler

Compiled 2440 to 433 computations (82.3% saved)

series168.0ms (4.8%)

Error
0.0b
Counts
4 → 60
Calls

4 calls:

47.0ms
(*.f64 (sqrt.f64 (*.f64 y (+.f64 z (*.f64 y x)))) (sqrt.f64 (*.f64 y (+.f64 z (*.f64 y x)))))
38.0ms
(*.f64 y (+.f64 z (*.f64 y x)))
35.0ms
(sqrt.f64 (*.f64 y (+.f64 z (*.f64 y x))))
33.0ms
(sqrt.f64 (*.f64 y (+.f64 z (*.f64 y x))))
Compiler

Compiled 2201 to 1639 computations (25.5% saved)

simplify137.0ms (3.9%)

Algorithm
egg-herbie
Rules
882×unswap-sqr_binary64
463×times-frac_binary64
340×*-commutative_binary64
313×distribute-rgt-in_binary64
303×distribute-lft-in_binary64
176×associate-*l*_binary64
165×associate-*r*_binary64
138×exp-prod_binary64
95×sqr-pow_binary64
78×log-prod_binary64
72×cancel-sign-sub-inv_binary64
71×cube-prod_binary64 sub-neg_binary64
65×distribute-rgt-neg-in_binary64
60×pow-sqr_binary64
53×associate-/l*_binary64
49×distribute-lft-neg-in_binary64
41×neg-mul-1_binary64
40×*-rgt-identity_binary64 *-lft-identity_binary64
38×rem-sqrt-square_binary64
37×neg-sub0_binary64
32×associate-/r*_binary64
29×/-rgt-identity_binary64
26×associate-+l+_binary64
20×pow-plus_binary64 associate-+r+_binary64
19×+-commutative_binary64
18×unpow3_binary64
17×swap-sqr_binary64
15×associate-*l/_binary64
14×unsub-neg_binary64
12×cube-unmult_binary64 associate-*r/_binary64 associate-+l-_binary64
11×log-pow_binary64 cube-mult_binary64 distribute-rgt-out_binary64 associate-+r-_binary64
10×distribute-lft-neg-out_binary64 distribute-lft-out_binary64
+-rgt-identity_binary64
exp-sum_binary64 rem-square-sqrt_binary64
unpow1/2_binary64 distribute-rgt-out--_binary64
sub0-neg_binary64
unpow2_binary64 associate-/r/_binary64
cube-div_binary64 count-2_binary64
distribute-lft-out--_binary64 associate--r+_binary64
unpow1_binary64 mul-1-neg_binary64 remove-double-neg_binary64 remove-double-div_binary64 difference-of-squares_binary64 distribute-neg-in_binary64 distribute-rgt-neg-out_binary64 associate-/l/_binary64
1-exp_binary64 exp-1-e_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_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-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-neg_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 sqr-neg_binary64 div-sub_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 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--l-_binary64
Counts
165 → 115
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01352336
12962208
211002155
326152139
448032013
549552013

prune52.0ms (1.5%)

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1141115
Fresh022
Picked011
Done022
Total1146120
Error
0.0b
Counts
120 → 6
Compiler

Compiled 1222 to 326 computations (73.3% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b
(pow.f64 (sqrt.f64 (*.f64 y (+.f64 z (*.f64 y x)))) 3)
7.9b
(sqrt.f64 (*.f64 y (+.f64 z (*.f64 y x))))
7.9b
(sqrt.f64 (*.f64 y (+.f64 z (*.f64 y x))))
13.5b
(cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 y (+.f64 z (*.f64 y x)))) 3))

rewrite90.0ms (2.6%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
14×pow1_binary64 cbrt-prod_binary64
10×add-cube-cbrt_binary64 add-sqr-sqrt_binary64 *-un-lft-identity_binary64
associate-*r/_binary64 sqrt-div_binary64 unpow-prod-down_binary64 cube-prod_binary64
sqrt-prod_binary64 sqrt-pow1_binary64
add-exp-log_binary64 add-cbrt-cube_binary64
add-log-exp_binary64 flip3-+_binary64 cube-div_binary64 flip-+_binary64 pow-pow_binary64
pow1/2_binary64 pow-prod-down_binary64 pow-unpow_binary64
cbrt-div_binary64 unpow3_binary64 cube-mult_binary64 sqr-pow_binary64
pow1/3_binary64 rem-cbrt-cube_binary64 pow-to-exp_binary64 pow-exp_binary64 rem-cube-cbrt_binary64 sqrt-pow2_binary64
Counts
4 → 82
Calls

4 calls:

6.0ms
(pow.f64 (sqrt.f64 (*.f64 y (+.f64 z (*.f64 y x)))) 3)
4.0ms
(sqrt.f64 (*.f64 y (+.f64 z (*.f64 y x))))
4.0ms
(sqrt.f64 (*.f64 y (+.f64 z (*.f64 y x))))
4.0ms
(cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 y (+.f64 z (*.f64 y x)))) 3))
Compiler

Compiled 2122 to 564 computations (73.4% saved)

series396.0ms (11.3%)

Error
0.0b
Counts
4 → 50
Calls

4 calls:

241.0ms
(cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 y (+.f64 z (*.f64 y x)))) 3))
64.0ms
(pow.f64 (sqrt.f64 (*.f64 y (+.f64 z (*.f64 y x)))) 3)
39.0ms
(sqrt.f64 (*.f64 y (+.f64 z (*.f64 y x))))
29.0ms
(sqrt.f64 (*.f64 y (+.f64 z (*.f64 y x))))
Compiler

Compiled 3125 to 2321 computations (25.7% saved)

simplify162.0ms (4.6%)

Algorithm
egg-herbie
Rules
529×cancel-sign-sub-inv_binary64
370×*-commutative_binary64
368×unswap-sqr_binary64
279×exp-prod_binary64
237×log-prod_binary64
208×distribute-rgt-neg-in_binary64
193×distribute-lft-neg-in_binary64
191×sqr-pow_binary64
140×associate-*r*_binary64
131×cube-prod_binary64
130×sub-neg_binary64
123×associate-*l*_binary64
106×unpow3_binary64
97×times-frac_binary64
87×distribute-rgt-in_binary64
72×distribute-lft-in_binary64
69×neg-sub0_binary64
67×swap-sqr_binary64
65×neg-mul-1_binary64
59×log-pow_binary64
44×pow-sqr_binary64
41×rem-sqrt-square_binary64
38×pow-plus_binary64
37×+-commutative_binary64
31×exp-sum_binary64 associate-+l-_binary64 associate-+l+_binary64
27×cube-mult_binary64
26×distribute-rgt-out--_binary64
24×associate-/l*_binary64
23×associate-/r*_binary64
22×distribute-lft-neg-out_binary64 associate-+r-_binary64 associate-+r+_binary64
21×distribute-neg-frac_binary64 associate--r+_binary64
20×unsub-neg_binary64
19×cube-unmult_binary64
18×+-rgt-identity_binary64
17×associate-*r/_binary64
16×distribute-neg-in_binary64
14×sub0-neg_binary64
13×distribute-rgt-out_binary64
12×difference-of-squares_binary64
11×distribute-rgt-neg-out_binary64
10×rem-cbrt-cube_binary64
associate-*l/_binary64
rem-square-sqrt_binary64 associate--l+_binary64
associate-/r/_binary64
unpow2_binary64
unpow1/2_binary64 unpow1_binary64 mul-1-neg_binary64 *-rgt-identity_binary64 *-lft-identity_binary64 cancel-sign-sub_binary64 distribute-neg-out_binary64
distribute-lft-out--_binary64 count-2_binary64 associate-/l/_binary64 associate--l-_binary64
div-sub_binary64
1-exp_binary64 rem-3cbrt-lft_binary64 rem-cube-cbrt_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 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 sqr-abs_binary64 sqr-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-frac-neg_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 distribute-lft-out_binary64 associate--r-_binary64
Counts
132 → 91
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01642166
14032146
211552121
328312112
446882109
549872109
649312109

prune46.0ms (1.3%)

Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New91091
Fresh022
Picked011
Done033
Total91697
Error
0.0b
Counts
97 → 6
Compiler

Compiled 1387 to 446 computations (67.8% saved)

regimes468.0ms (13.3%)

Accuracy

Total 0.0b remaining (65.3%)

Threshold costs 0.0b (65.3%)

Compiler

Compiled 6148 to 4166 computations (32.2% 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
0913
11313
21313

end1.0ms (0%)

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample806.0ms (22.9%)

Algorithm
intervals
Results
257.0ms8000×body128valid
49.0ms1725×body128invalid
Compiler

Compiled 121 to 102 computations (15.7% saved)

Profiling

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