Details

Time bar (total: 13.6s)

analyze1.4s (10.4%)

Algorithm
search
egg-herbie
Rules
591×associate-/r/_binary64
531×associate-/l/_binary64
297×associate-*l*_binary64
268×associate-*r*_binary64
230×cancel-sign-sub-inv_binary64
219×associate-/l*_binary64
206×distribute-neg-frac_binary64
174×distribute-rgt-neg-in_binary64
167×distribute-lft-neg-in_binary64
159×associate-*l/_binary64
153×*-commutative_binary64
149×associate-*r/_binary64
120×unswap-sqr_binary64
114×div-sub_binary64
108×sub-neg_binary64
74×associate-/r*_binary64
70×sqr-pow_binary64
64×times-frac_binary64 neg-mul-1_binary64 neg-sub0_binary64
46×distribute-rgt-neg-out_binary64 distribute-lft-neg-out_binary64
45×distribute-rgt-in_binary64 distribute-lft-in_binary64
30×pow-plus_binary64
27×distribute-frac-neg_binary64
25×+-commutative_binary64
20×cube-unmult_binary64
13×sub0-neg_binary64 div0_binary64 associate-+l-_binary64
12×difference-of-sqr-1_binary64
10×unpow2_binary64 unpow1/2_binary64 unpow1_binary64 rem-sqrt-square_binary64
associate-+r-_binary64
+-rgt-identity_binary64 associate-+l+_binary64
difference-of-sqr--1_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 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 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-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-square-sqrt_binary64 unsub-neg_binary64 mul-1-neg_binary64 /-rgt-identity_binary64 *-rgt-identity_binary64 *-lft-identity_binary64 remove-double-neg_binary64 --rgt-identity_binary64 +-lft-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 pow-sqr_binary64 difference-of-squares_binary64 swap-sqr_binary64 cancel-sign-sub_binary64 distribute-neg-out_binary64 distribute-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--r-_binary64 associate--l-_binary64 associate--l+_binary64 associate--r+_binary64 associate-+r+_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
066203
1143203
2285203
3807203
42655203
54997203
044
144
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
0%99.8%0.2%5
0%99.8%0.2%6
0%99.8%0.2%7
0%99.8%0.2%8
18.7%76.4%4.9%9
18.7%76.4%4.9%10
21.8%72.5%5.7%11
21.8%69.8%8.4%12
32.7%46.6%20.7%13
32.7%46.6%20.7%14
Compiler

Compiled 20 to 20 computations (0% saved)

sample53.0ms (0.4%)

Algorithm
intervals
Results
22.0ms256×body128valid
12.0ms141×body128nan
Compiler

Compiled 39 to 43 computations (-10.3% saved)

simplify56.0ms (0.4%)

Algorithm
egg-herbie
Rules
525×associate-/r/_binary64
484×unswap-sqr_binary64
458×associate-/l/_binary64
422×associate-*l/_binary64
301×*-commutative_binary64
297×cancel-sign-sub-inv_binary64 associate-*l*_binary64
260×associate-*r/_binary64
253×distribute-rgt-neg-in_binary64
218×div-sub_binary64
215×associate-/l*_binary64
205×neg-mul-1_binary64 associate-*r*_binary64
131×distribute-neg-frac_binary64
108×associate-/r*_binary64
103×times-frac_binary64
83×distribute-lft-neg-in_binary64
67×distribute-lft-neg-out_binary64
66×sub-neg_binary64 distribute-rgt-neg-out_binary64
50×neg-sub0_binary64
46×sqr-pow_binary64 distribute-frac-neg_binary64 distribute-rgt-in_binary64
39×distribute-lft-in_binary64
34×unsub-neg_binary64
27×div0_binary64
26×pow-plus_binary64
22×cube-prod_binary64
16×mul0-rgt_binary64 distribute-neg-in_binary64
14×rem-sqrt-square_binary64 +-commutative_binary64
10×cube-unmult_binary64
mul0-lft_binary64
unpow3_binary64
associate-+l-_binary64
unpow2_binary64 pow-sqr_binary64 difference-of-sqr--1_binary64
sub0-neg_binary64
unpow1_binary64 cube-mult_binary64 *-rgt-identity_binary64 *-lft-identity_binary64 difference-of-sqr-1_binary64
--rgt-identity_binary64 associate--r+_binary64
unpow1/2_binary64 swap-sqr_binary64 associate-+l+_binary64 associate-+r+_binary64
1-exp_binary64 mul-1-neg_binary64 remove-double-neg_binary64 +-rgt-identity_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 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 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-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 /-rgt-identity_binary64 +-lft-identity_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 difference-of-squares_binary64 cancel-sign-sub_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--r-_binary64 associate--l-_binary64 associate--l+_binary64
Counts
1 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01729
13329
26129
315829
447629
5161929
6341729
7479729
8489529

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done000
Total011
Error
11.3b
Counts
1 → 1
Compiler

Compiled 19 to 19 computations (0% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b
(pow.f64 (/.f64 Om Omc) 2)
0.3b
(/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))
0.4b
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))))
10.5b
(sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))

rewrite500.0ms (3.7%)

Algorithm
rewrite-expression-head
Error
11.2b
Rules
143×add-sqr-sqrt_binary64
108×times-frac_binary64
98×*-un-lft-identity_binary64
70×difference-of-squares_binary64
49×add-cube-cbrt_binary64
48×sqrt-prod_binary64
41×unpow-prod-down_binary64
15×unpow2_binary64 sqr-pow_binary64
14×associate-/l*_binary64
add-exp-log_binary64
distribute-lft-out--_binary64
pow1_binary64 add-cbrt-cube_binary64
add-log-exp_binary64 associate-/r/_binary64
div-inv_binary64 associate-/r*_binary64 pow-unpow_binary64
flip3-+_binary64 flip-+_binary64 rem-sqrt-square_binary64 div-exp_binary64 associate-/l/_binary64 pow-exp_binary64
pow1/2_binary64 sqrt-pow1_binary64 sqrt-div_binary64 asin-acos_binary64 cbrt-undiv_binary64 frac-2neg_binary64 div-sub_binary64 clear-num_binary64 flip3--_binary64 flip--_binary64 pow-pow_binary64 pow-to-exp_binary64
Counts
4 → 173
Calls

4 calls:

16.0ms
(sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))
16.0ms
(/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))
5.0ms
(pow.f64 (/.f64 Om Omc) 2)
1.0ms
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))))
Compiler

Compiled 5888 to 4082 computations (30.7% saved)

series287.0ms (2.1%)

Error
2.2b
Counts
4 → 45
Calls

4 calls:

113.0ms
(/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))
93.0ms
(sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))
44.0ms
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))))
23.0ms
(pow.f64 (/.f64 Om Omc) 2)
Compiler

Compiled 2778 to 2628 computations (5.4% saved)

simplify237.0ms (1.7%)

Algorithm
egg-herbie
Rules
504×associate-*l*_binary64
393×associate-*l/_binary64
332×associate-*r/_binary64
290×associate-/l*_binary64
258×times-frac_binary64
226×associate-/r*_binary64
160×distribute-rgt-in_binary64
159×associate-/l/_binary64
157×associate-/r/_binary64
141×distribute-lft-in_binary64
101×sqr-pow_binary64
100×log-prod_binary64
69×distribute-neg-frac_binary64
65×log-div_binary64 div-sub_binary64
64×unswap-sqr_binary64
63×associate-*r*_binary64
60×distribute-rgt-neg-in_binary64
59×cancel-sign-sub-inv_binary64
53×sub-neg_binary64
49×distribute-lft-neg-in_binary64
43×*-commutative_binary64
41×neg-sub0_binary64
37×neg-mul-1_binary64
34×+-commutative_binary64
25×unpow3_binary64 unpow2_binary64 unpow1/2_binary64 unpow1_binary64
24×*-rgt-identity_binary64
23×log-pow_binary64
22×distribute-rgt-out_binary64
20×*-lft-identity_binary64
19×/-rgt-identity_binary64
17×cube-div_binary64 cube-prod_binary64
12×cube-unmult_binary64 pow-sqr_binary64 swap-sqr_binary64
11×exp-prod_binary64
10×mul-1-neg_binary64 distribute-lft-neg-out_binary64
rem-sqrt-square_binary64
pow-plus_binary64
distribute-rgt-neg-out_binary64
distribute-rgt1-in_binary64
log-rec_binary64 unsub-neg_binary64 distribute-neg-in_binary64 distribute-rgt-out--_binary64 associate-+l+_binary64
rem-square-sqrt_binary64 associate--r+_binary64 associate-+r+_binary64
exp-sum_binary64 cube-mult_binary64 rem-3cbrt-rft_binary64 distribute-lft-out--_binary64 associate-+r-_binary64
exp-diff_binary64 1-exp_binary64 exp-1-e_binary64 rem-3cbrt-lft_binary64 remove-double-neg_binary64 distribute-lft-out_binary64 count-2_binary64 associate--r-_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 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-neg_binary64 e-exp-1_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-neg_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 sqr-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_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-lft1-in_binary64 associate--l-_binary64
Counts
218 → 164
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03008531
15907293
213807266
347337266
449497266

prune132.0ms (1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1577164
Fresh000
Picked011
Done000
Total1578165
Error
0.5b
Counts
165 → 8
Compiler

Compiled 2291 to 1546 computations (32.5% saved)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b
(/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (cbrt.f64 (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))
1.8b
(sqrt.f64 (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (cbrt.f64 (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))))
17.0b
(cbrt.f64 (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))
17.0b
(cbrt.f64 (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))

rewrite1.2s (8.7%)

Algorithm
rewrite-expression-head
Error
0.5b
Rules
297×cbrt-prod_binary64
281×add-sqr-sqrt_binary64
234×times-frac_binary64
194×*-un-lft-identity_binary64
130×difference-of-squares_binary64
108×sqrt-prod_binary64
103×add-cube-cbrt_binary64
52×unpow-prod-down_binary64
26×unpow2_binary64 sqr-pow_binary64
17×associate-/l*_binary64
13×distribute-lft-out--_binary64
10×cbrt-div_binary64
add-exp-log_binary64 associate-/r*_binary64
pow1_binary64 rem-sqrt-square_binary64
add-log-exp_binary64 add-cbrt-cube_binary64 flip3-+_binary64 flip-+_binary64 associate-/r/_binary64
pow1/3_binary64 div-inv_binary64 associate-/l/_binary64
pow1/2_binary64 sqrt-pow1_binary64 sqrt-div_binary64 div-exp_binary64 cbrt-undiv_binary64 frac-2neg_binary64 clear-num_binary64 flip3--_binary64 flip--_binary64
Counts
4 → 290
Calls

4 calls:

22.0ms
(sqrt.f64 (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (cbrt.f64 (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))))
20.0ms
(/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (cbrt.f64 (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))
3.0ms
(cbrt.f64 (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))
3.0ms
(cbrt.f64 (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))
Compiler

Compiled 17473 to 12614 computations (27.8% saved)

series470.0ms (3.5%)

Error
0.5b
Counts
4 → 48
Calls

4 calls:

143.0ms
(/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (cbrt.f64 (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))
140.0ms
(sqrt.f64 (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (cbrt.f64 (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))))
65.0ms
(cbrt.f64 (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))
63.0ms
(cbrt.f64 (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))
Compiler

Compiled 7080 to 6094 computations (13.9% saved)

simplify446.0ms (3.3%)

Algorithm
egg-herbie
Rules
416×associate-*l*_binary64
242×times-frac_binary64
233×exp-prod_binary64
224×associate-/l*_binary64
223×associate-*l/_binary64
218×associate-/r*_binary64
193×associate-*r/_binary64
134×log-prod_binary64
114×associate-/l/_binary64
112×distribute-rgt-in_binary64
109×distribute-lft-in_binary64
93×cancel-sign-sub-inv_binary64
92×log-div_binary64
90×sqr-pow_binary64
81×associate-/r/_binary64
74×exp-sum_binary64
67×distribute-rgt-neg-in_binary64 *-commutative_binary64
65×sub-neg_binary64
64×associate-*r*_binary64
59×distribute-lft-neg-in_binary64
55×exp-to-pow_binary64
42×neg-mul-1_binary64 +-commutative_binary64
41×neg-sub0_binary64
38×unswap-sqr_binary64
28×distribute-neg-frac_binary64
26×distribute-lft-neg-out_binary64
25×unpow1/3_binary64 distribute-rgt-neg-out_binary64
21×pow-sqr_binary64
20×div-sub_binary64
18×unpow3_binary64 exp-lft-sqr_binary64
17×log-pow_binary64
16×pow-plus_binary64
15×unsub-neg_binary64 distribute-rgt-out_binary64
14×exp-diff_binary64 *-rgt-identity_binary64
13×/-rgt-identity_binary64 swap-sqr_binary64
12×cube-div_binary64 cube-prod_binary64
rem-sqrt-square_binary64 *-lft-identity_binary64 distribute-rgt1-in_binary64 associate-+l+_binary64
unpow2_binary64 unpow1/2_binary64 unpow1_binary64 cube-unmult_binary64 distribute-neg-in_binary64
remove-double-neg_binary64 distribute-rgt-out--_binary64 associate-+r+_binary64
associate-+l-_binary64
associate--l-_binary64
distribute-lft-out--_binary64 associate--l+_binary64
log-rec_binary64 cube-mult_binary64 rem-square-sqrt_binary64 mul-1-neg_binary64 cancel-sign-sub_binary64 associate-+r-_binary64
1-exp_binary64 rem-3cbrt-lft_binary64 *-inverses_binary64 distribute-lft-out_binary64 count-2_binary64
not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 pow-base-0_binary64 pow-base-1_binary64 unpow0_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-cbrt_binary64 exp-sqrt_binary64 div-exp_binary64 rec-exp_binary64 prod-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-neg_binary64 rem-3cbrt-rft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 sqr-neg_binary64 sub0-neg_binary64 --rgt-identity_binary64 +-rgt-identity_binary64 +-lft-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64 div0_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 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-lft1-in_binary64 associate--r-_binary64 associate--r+_binary64
Counts
338 → 219
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
042917594
172316134
2154615891
3456715779
4501815779

prune276.0ms (2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New2181219
Fresh066
Picked101
Done011
Total2198227
Error
0.5b
Counts
227 → 8
Compiler

Compiled 6541 to 4664 computations (28.7% saved)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

7.8b
(sqrt.f64 (/.f64 (+.f64 1 (fabs.f64 (/.f64 Om Omc))) (sqrt.f64 (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))))
7.8b
(sqrt.f64 (/.f64 (-.f64 1 (fabs.f64 (/.f64 Om Omc))) (sqrt.f64 (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))))
10.6b
(sqrt.f64 (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))
10.6b
(sqrt.f64 (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))

rewrite288.0ms (2.1%)

Algorithm
rewrite-expression-head
Error
0.5b
Rules
110×sqrt-prod_binary64
70×add-sqr-sqrt_binary64 *-un-lft-identity_binary64
64×times-frac_binary64
40×add-cube-cbrt_binary64
12×difference-of-squares_binary64
10×sqrt-div_binary64
pow1_binary64 rem-sqrt-square_binary64
distribute-lft-out--_binary64 distribute-lft-out_binary64
pow1/2_binary64 add-log-exp_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 sqrt-pow1_binary64 flip3-+_binary64 flip-+_binary64 associate-/r/_binary64
div-inv_binary64
Counts
4 → 128
Calls

4 calls:

10.0ms
(sqrt.f64 (/.f64 (-.f64 1 (fabs.f64 (/.f64 Om Omc))) (sqrt.f64 (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))))
8.0ms
(sqrt.f64 (/.f64 (+.f64 1 (fabs.f64 (/.f64 Om Omc))) (sqrt.f64 (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))))
3.0ms
(sqrt.f64 (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))
3.0ms
(sqrt.f64 (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))
Compiler

Compiled 5588 to 3668 computations (34.4% saved)

series521.0ms (3.8%)

Error
0.5b
Counts
4 → 60
Calls

4 calls:

183.0ms
(sqrt.f64 (/.f64 (-.f64 1 (fabs.f64 (/.f64 Om Omc))) (sqrt.f64 (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))))
181.0ms
(sqrt.f64 (/.f64 (+.f64 1 (fabs.f64 (/.f64 Om Omc))) (sqrt.f64 (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))))
55.0ms
(sqrt.f64 (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))
55.0ms
(sqrt.f64 (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))
Compiler

Compiled 5668 to 4516 computations (20.3% saved)

simplify208.0ms (1.5%)

Algorithm
egg-herbie
Rules
442×times-frac_binary64
315×associate-*r*_binary64
306×associate-*l*_binary64
276×associate-/l*_binary64
234×associate-*r/_binary64
220×associate-*l/_binary64
214×associate-/r*_binary64
161×*-commutative_binary64
119×sub-neg_binary64
99×neg-sub0_binary64
94×neg-mul-1_binary64
86×cancel-sign-sub-inv_binary64
81×exp-sum_binary64 associate-/l/_binary64
77×distribute-rgt-neg-in_binary64
69×distribute-lft-neg-in_binary64
66×cube-prod_binary64
65×div-sub_binary64
61×distribute-neg-frac_binary64
59×exp-prod_binary64
51×unsub-neg_binary64 +-commutative_binary64
49×cube-div_binary64
41×sqr-pow_binary64
33×distribute-rgt-in_binary64
31×associate-/r/_binary64
30×distribute-lft-in_binary64
27×log-prod_binary64
23×unswap-sqr_binary64
19×associate-+l+_binary64
18×unpow3_binary64 associate-+r-_binary64
17×exp-diff_binary64 associate-+l-_binary64 associate-+r+_binary64
16×exp-to-pow_binary64
14×cube-unmult_binary64 rem-sqrt-square_binary64
13×cube-mult_binary64
12×log-pow_binary64
10×distribute-rgt-out_binary64
log-div_binary64
unpow1/2_binary64 distribute-lft-neg-out_binary64
exp-lft-sqr_binary64 /-rgt-identity_binary64 *-rgt-identity_binary64 swap-sqr_binary64 distribute-rgt1-in_binary64 associate--r+_binary64
exp-neg_binary64 *-lft-identity_binary64
pow-plus_binary64 rem-exp-log_binary64 pow-sqr_binary64 distribute-rgt-neg-out_binary64
rem-square-sqrt_binary64 distribute-rgt-out--_binary64 associate--l+_binary64
unpow2_binary64 unpow1_binary64 prod-exp_binary64 mul-1-neg_binary64 distribute-neg-in_binary64 distribute-lft-out--_binary64
rec-exp_binary64
log-rec_binary64 1-exp_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 pow-base-0_binary64 unpow1/3_binary64 pow-base-1_binary64 unpow0_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-cbrt_binary64 exp-sqrt_binary64 div-exp_binary64 e-exp-1_binary64 exp-1-e_binary64 exp-0_binary64 rem-log-exp_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 remove-double-neg_binary64 sub0-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 difference-of-squares_binary64 cancel-sign-sub_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-lft1-in_binary64 distribute-lft-out_binary64 count-2_binary64 associate--r-_binary64 associate--l-_binary64
Counts
188 → 102
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02516800
14916486
211006348
343326318
449256318

prune132.0ms (1%)

Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1020102
Fresh066
Picked011
Done011
Total1028110
Error
0.5b
Counts
110 → 8
Compiler

Compiled 2981 to 1977 computations (33.7% saved)

localize24.0ms (0.2%)

Local error

Found 4 expressions with local error:

1.8b
(sqrt.f64 (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (cbrt.f64 (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))))
8.1b
(cbrt.f64 (pow.f64 (sqrt.f64 (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (cbrt.f64 (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) 3))
17.0b
(cbrt.f64 (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))
17.0b
(cbrt.f64 (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))

rewrite964.0ms (7.1%)

Algorithm
rewrite-expression-head
Error
0.5b
Rules
643×cbrt-prod_binary64
393×add-sqr-sqrt_binary64
346×times-frac_binary64
324×sqrt-prod_binary64
276×*-un-lft-identity_binary64
183×unpow-prod-down_binary64
180×difference-of-squares_binary64
150×add-cube-cbrt_binary64
111×cube-prod_binary64
37×sqr-pow_binary64
36×unpow2_binary64
18×distribute-lft-out--_binary64
11×cbrt-div_binary64
associate-/r/_binary64
pow1_binary64 flip3-+_binary64 flip-+_binary64 rem-sqrt-square_binary64
add-log-exp_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
pow1/3_binary64 div-inv_binary64
sqrt-div_binary64
cube-div_binary64 unpow3_binary64 cube-mult_binary64 rem-cbrt-cube_binary64 pow1/2_binary64 sqrt-pow1_binary64
Counts
4 → 387
Calls

4 calls:

39.0ms
(cbrt.f64 (pow.f64 (sqrt.f64 (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (cbrt.f64 (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) 3))
28.0ms
(sqrt.f64 (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (cbrt.f64 (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))))
3.0ms
(cbrt.f64 (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))
3.0ms
(cbrt.f64 (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))
Compiler

Compiled 18138 to 13450 computations (25.8% saved)

series487.0ms (3.6%)

Error
0.5b
Counts
4 → 48
Calls

4 calls:

150.0ms
(sqrt.f64 (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (cbrt.f64 (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))))
143.0ms
(cbrt.f64 (pow.f64 (sqrt.f64 (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) (cbrt.f64 (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) 3))
66.0ms
(cbrt.f64 (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))
66.0ms
(cbrt.f64 (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))
Compiler

Compiled 7300 to 6314 computations (13.5% saved)

simplify629.0ms (4.6%)

Algorithm
egg-herbie
Rules
341×sqr-pow_binary64
247×associate-*l/_binary64
233×associate-*r/_binary64
204×exp-sum_binary64
194×times-frac_binary64
193×associate-/l*_binary64
181×associate-/r*_binary64
143×associate-*r*_binary64
138×associate-*l*_binary64
134×exp-prod_binary64
129×unpow3_binary64
111×cube-mult_binary64
109×rem-cbrt-cube_binary64
102×log-prod_binary64
87×rem-sqrt-square_binary64
86×unswap-sqr_binary64
83×cancel-sign-sub-inv_binary64
82×rem-square-sqrt_binary64
79×log-div_binary64
76×distribute-rgt-in_binary64
74×distribute-lft-in_binary64
65×associate-/l/_binary64
59×sub-neg_binary64
56×distribute-rgt-neg-in_binary64
55×associate-/r/_binary64
50×*-commutative_binary64
49×distribute-lft-neg-in_binary64
48×exp-diff_binary64
38×neg-mul-1_binary64
37×neg-sub0_binary64
32×+-commutative_binary64
31×exp-to-pow_binary64
22×distribute-neg-frac_binary64
20×distribute-lft-neg-out_binary64
19×cube-prod_binary64 distribute-rgt-neg-out_binary64
17×exp-neg_binary64
16×log-pow_binary64 div-sub_binary64
15×exp-lft-sqr_binary64 unsub-neg_binary64
14×pow-sqr_binary64
11×cube-div_binary64 /-rgt-identity_binary64
10×pow-plus_binary64
unpow1/3_binary64 *-rgt-identity_binary64 distribute-rgt-out_binary64
unpow2_binary64 unpow1/2_binary64 unpow1_binary64 swap-sqr_binary64 distribute-neg-in_binary64
*-lft-identity_binary64 remove-double-neg_binary64 distribute-rgt-out--_binary64 associate-+l+_binary64
cube-unmult_binary64 distribute-rgt1-in_binary64 associate-+l-_binary64
associate--l-_binary64
pow-base-1_binary64 distribute-lft-out--_binary64 associate--l+_binary64 associate-+r+_binary64
log-rec_binary64 prod-exp_binary64 rem-3cbrt-lft_binary64 mul-1-neg_binary64 cancel-sign-sub_binary64 associate-+r-_binary64
1-exp_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 *-inverses_binary64 distribute-lft-out_binary64 count-2_binary64
not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 pow-base-0_binary64 unpow0_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-cbrt_binary64 exp-sqrt_binary64 div-exp_binary64 rec-exp_binary64 e-exp-1_binary64 exp-1-e_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-neg_binary64 rem-3cbrt-rft_binary64 sqr-neg_binary64 sub0-neg_binary64 --rgt-identity_binary64 +-rgt-identity_binary64 +-lft-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64 div0_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 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-lft1-in_binary64 associate--r-_binary64 associate--r+_binary64
Counts
435 → 373
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
061724972
1122022931
2199822846
3457122786
4508122786

prune289.0ms (2.1%)

Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New3730373
Fresh055
Picked011
Done022
Total3738381
Error
0.5b
Counts
381 → 8
Compiler

Compiled 6845 to 4941 computations (27.8% saved)

regimes3.0s (21.7%)

Accuracy

Total 0.2b remaining (25.1%)

Threshold costs 0.2b (25.1%)

Compiler

Compiled 57754 to 50020 computations (13.4% saved)

bsearch4.0ms (0%)

Compiler

Compiled 3 to 5 computations (-66.7% saved)

simplify6.0ms (0%)

Algorithm
egg-herbie
Rules
11×*-commutative_binary64
+-commutative_binary64
sub-neg_binary64
neg-mul-1_binary64 neg-sub0_binary64
distribute-rgt-neg-in_binary64 distribute-lft-neg-in_binary64
1-exp_binary64 distribute-neg-frac_binary64 distribute-rgt-neg-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 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 unpow1_binary64 e-exp-1_binary64 exp-1-e_binary64 exp-0_binary64 sqr-abs_binary64 sqr-neg_binary64 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-inv_binary64 cancel-sign-sub_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-neg-in_binary64 distribute-lft-neg-out_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03499
14999
26799
38099
48999
59299
69199

end2.0ms (0%)

Compiler

Compiled 64 to 48 computations (25% saved)

sample2.0s (14.4%)

Algorithm
intervals
Results
740.0ms8000×body128valid
403.0ms4755×body128nan
Compiler

Compiled 295 to 277 computations (6.1% saved)

Profiling

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