Details

Time bar (total: 2.9s)

analyze232.0ms (8.1%)

Algorithm
search
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
25%74.9%0.1%4
37.5%62.4%0.1%5
62.4%37.5%0.1%6
87.4%12.5%0.1%7
87.4%12.5%0.1%8
93.7%6.2%0.1%9
93.7%6.2%0.1%10
96.8%3.1%0.1%11
96.8%3.1%0.1%12
98.3%1.6%0.1%13
98.3%1.6%0.1%14
Compiler

Compiled 9 to 7 computations (22.2% saved)

sample16.0ms (0.6%)

Algorithm
intervals
Results
7.0ms256×body128valid
Compiler

Compiled 17 to 15 computations (11.8% saved)

simplify238.0ms (8.4%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
075610
175610

prune6.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 0.0b

Counts
2 → 1
Compiler

Compiled 14 to 10 computations (28.6% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b
(/.f64 (+.f64 f n) (-.f64 n f))

rewrite15.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity_binary64
22×add-sqr-sqrt_binary64
20×times-frac_binary64
12×add-cube-cbrt_binary64
distribute-lft-out_binary64
associate-/r*_binary64 difference-of-squares_binary64 distribute-lft-out--_binary64
associate-/l*_binary64
add-exp-log_binary64 add-cbrt-cube_binary64
associate-/l/_binary64 associate-/r/_binary64
flip3-+_binary64 add-log-exp_binary64 pow1_binary64 flip3--_binary64 cbrt-undiv_binary64 clear-num_binary64 frac-2neg_binary64 div-inv_binary64 div-exp_binary64 flip--_binary64 flip-+_binary64
Counts
1 → 45
Calls

1 calls:

10.0ms
(/.f64 (+.f64 f n) (-.f64 n f))

series101.0ms (3.5%)

Counts
1 → 3
Calls

1 calls:

101.0ms
(/.f64 (+.f64 f n) (-.f64 n f))

simplify64.0ms (2.2%)

Algorithm
egg-herbie
Counts
48 → 48
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
05253802

prune39.0ms (1.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New46248
Fresh000
Picked011
Done000
Total46349

Merged error: 0b

Counts
49 → 3
Compiler

Compiled 694 to 152 computations (78.1% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b
(*.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
0.0b
(cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))
0.0b
(cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))
0.0b
(cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))

rewrite110.0ms (3.9%)

Algorithm
rewrite-expression-head
Rules
306×*-un-lft-identity_binary64
238×cbrt-prod_binary64
190×times-frac_binary64
174×add-sqr-sqrt_binary64
86×add-cube-cbrt_binary64
53×distribute-lft-out_binary64
51×swap-sqr_binary64
44×distribute-lft-out--_binary64
32×difference-of-squares_binary64
29×associate-*r*_binary64 associate-*l*_binary64
14×associate-/r/_binary64
11×pow1_binary64
pow1/3_binary64 unswap-sqr_binary64
cbrt-div_binary64 flip3--_binary64 div-inv_binary64 flip--_binary64
add-exp-log_binary64
add-log-exp_binary64 add-cbrt-cube_binary64
pow-prod-down_binary64 pow-prod-up_binary64 pow-sqr_binary64
cbrt-unprod_binary64 associate-*r/_binary64 pow-plus_binary64 prod-exp_binary64 frac-times_binary64 pow2_binary64 associate-*l/_binary64 *-commutative_binary64
Counts
4 → 244
Calls

4 calls:

44.0ms
(*.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
8.0ms
(cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))
8.0ms
(cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))
8.0ms
(cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))

series780.0ms (27.4%)

Counts
4 → 12
Calls

4 calls:

210.0ms
(*.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
205.0ms
(cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))
183.0ms
(cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))
181.0ms
(cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))

simplify116.0ms (4.1%)

Algorithm
egg-herbie
Counts
256 → 256
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
057337124

prune245.0ms (8.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New2560256
Fresh011
Picked011
Done011
Total2563259

Merged error: 0b

Counts
259 → 3
Compiler

Compiled 8845 to 1186 computations (86.6% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(/.f64 1 (-.f64 n f))
0.2b
(*.f64 (+.f64 f n) (/.f64 1 (-.f64 n f)))

rewrite33.0ms (1.1%)

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt_binary64
39×*-un-lft-identity_binary64
32×times-frac_binary64
22×add-cube-cbrt_binary64
21×associate-*r*_binary64
15×add-exp-log_binary64
add-cbrt-cube_binary64
difference-of-squares_binary64 distribute-lft-out--_binary64
associate-/r*_binary64 pow1_binary64
associate-/r/_binary64 associate-*l*_binary64 prod-exp_binary64 div-exp_binary64
unswap-sqr_binary64 associate-/l*_binary64
flip3-+_binary64 add-log-exp_binary64 flip3--_binary64 cbrt-unprod_binary64 1-exp_binary64 cbrt-undiv_binary64 rec-exp_binary64 div-inv_binary64 flip--_binary64 flip-+_binary64 frac-times_binary64 associate-*l/_binary64
pow-prod-down_binary64 distribute-lft-out_binary64 associate-*r/_binary64 clear-num_binary64 inv-pow_binary64 frac-2neg_binary64 un-div-inv_binary64 pow-flip_binary64 *-commutative_binary64
Counts
2 → 90
Calls

2 calls:

18.0ms
(*.f64 (+.f64 f n) (/.f64 1 (-.f64 n f)))
7.0ms
(/.f64 1 (-.f64 n f))

series131.0ms (4.6%)

Counts
2 → 6
Calls

2 calls:

80.0ms
(*.f64 (+.f64 f n) (/.f64 1 (-.f64 n f)))
51.0ms
(/.f64 1 (-.f64 n f))

simplify62.0ms (2.2%)

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
050021180

prune58.0ms (2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New96096
Fresh000
Picked011
Done022
Total96399

Merged error: 0b

Counts
99 → 3
Compiler

Compiled 1314 to 460 computations (65% saved)

regimes66.0ms (2.3%)

Compiler

Compiled 475 to 311 computations (34.5% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01710
11710

end0.0ms (0%)

sample517.0ms (18.1%)

Algorithm
intervals
Results
209.0ms8000×body128valid
Compiler

Compiled 159 to 103 computations (35.2% saved)

Profiling

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