Details

Time bar (total: 2.5s)

analyze210.0ms (8.4%)

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%0%3
75%25%0%4
87.5%12.5%0%5
93.7%6.2%0%6
96.8%3.1%0%7
98.4%1.6%0%8
99.2%0.8%0%9
99.6%0.4%0%10
99.8%0.2%0%11
99.9%0.1%0%12
99.9%0%0%13
99.9%0%0.1%14
Compiler

Compiled 9 to 8 computations (11.1% saved)

sample21.0ms (0.8%)

Algorithm
intervals
Results
13.0ms256×body128valid
Compiler

Compiled 17 to 16 computations (5.9% saved)

simplify311.0ms (12.4%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (135.0ms)

IterNodesCost
047219
147219

prune6.0ms (0.3%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 28.6b

Counts
2 → 1
Compiler

Compiled 12 to 10 computations (16.7% saved)

localize14.0ms (0.6%)

Local error

Found 2 expressions with local error:

0.0b
(*.f64 2 (*.f64 x x))
27.6b
(sqrt.f64 (*.f64 2 (*.f64 x x)))

rewrite16.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
13×pow1_binary64
add-exp-log_binary64 add-cbrt-cube_binary64
pow-prod-down_binary64
add-sqr-sqrt_binary64
*-un-lft-identity_binary64 cbrt-unprod_binary64 add-cube-cbrt_binary64 associate-*l*_binary64 sqrt-pow1_binary64 prod-exp_binary64
add-log-exp_binary64
pow1/2_binary64 associate-*r*_binary64 unswap-sqr_binary64 sqrt-prod_binary64 *-commutative_binary64
Counts
2 → 31
Calls

2 calls:

7.0ms
(sqrt.f64 (*.f64 2 (*.f64 x x)))
6.0ms
(*.f64 2 (*.f64 x x))

series100.0ms (4%)

Counts
2 → 6
Calls

2 calls:

64.0ms
(sqrt.f64 (*.f64 2 (*.f64 x x)))
36.0ms
(*.f64 2 (*.f64 x x))

simplify68.0ms (2.7%)

Algorithm
egg-herbie
Counts
37 → 37
Iterations

Useful iterations: 0 (59.0ms)

IterNodesCost
04979300
14979300

prune37.0ms (1.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New33437
Fresh000
Picked011
Done000
Total33538

Merged error: 0.2b

Counts
38 → 5
Compiler

Compiled 366 to 243 computations (33.6% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.4b
(*.f64 (sqrt.f64 2) (fabs.f64 x))

rewrite7.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt_binary64
associate-*l*_binary64
*-un-lft-identity_binary64 add-cube-cbrt_binary64 sqrt-prod_binary64
pow1_binary64 associate-*r*_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
unswap-sqr_binary64
pow-prod-down_binary64 add-log-exp_binary64 cbrt-unprod_binary64 prod-exp_binary64 *-commutative_binary64
Counts
1 → 22
Calls

1 calls:

5.0ms
(*.f64 (sqrt.f64 2) (fabs.f64 x))

series47.0ms (1.9%)

Counts
1 → 3
Calls

1 calls:

47.0ms
(*.f64 (sqrt.f64 2) (fabs.f64 x))

simplify57.0ms (2.3%)

Algorithm
egg-herbie
Counts
25 → 25
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
04869270
14869270

prune28.0ms (1.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New21425
Fresh303
Picked011
Done101
Total25530

Merged error: 0b

Counts
30 → 5
Compiler

Compiled 281 to 204 computations (27.4% saved)

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.2b
(*.f64 (fabs.f64 x) (cbrt.f64 (sqrt.f64 2)))
0.2b
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))) (*.f64 (fabs.f64 x) (cbrt.f64 (sqrt.f64 2))))

rewrite22.0ms (0.9%)

Algorithm
rewrite-expression-head
Rules
16×pow1_binary64 add-exp-log_binary64
12×add-sqr-sqrt_binary64
10×associate-*r*_binary64
pow-prod-down_binary64 cbrt-unprod_binary64 add-cbrt-cube_binary64 prod-exp_binary64
cbrt-prod_binary64
*-un-lft-identity_binary64 add-cube-cbrt_binary64
associate-*l*_binary64 sqrt-prod_binary64
unswap-sqr_binary64
add-log-exp_binary64 *-commutative_binary64
Counts
2 → 48
Calls

2 calls:

12.0ms
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))) (*.f64 (fabs.f64 x) (cbrt.f64 (sqrt.f64 2))))
6.0ms
(*.f64 (fabs.f64 x) (cbrt.f64 (sqrt.f64 2)))

series228.0ms (9.1%)

Counts
2 → 6
Calls

2 calls:

181.0ms
(*.f64 (fabs.f64 x) (cbrt.f64 (sqrt.f64 2)))
48.0ms
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))) (*.f64 (fabs.f64 x) (cbrt.f64 (sqrt.f64 2))))

simplify65.0ms (2.6%)

Algorithm
egg-herbie
Counts
54 → 54
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
05339624

prune54.0ms (2.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New54054
Fresh033
Picked011
Done011
Total54559

Merged error: 0b

Counts
59 → 5
Compiler

Compiled 806 to 661 computations (18% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.2b
(*.f64 (fabs.f64 x) (sqrt.f64 (sqrt.f64 2)))
0.3b
(*.f64 (sqrt.f64 (sqrt.f64 2)) (*.f64 (fabs.f64 x) (sqrt.f64 (sqrt.f64 2))))

rewrite21.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
21×sqrt-prod_binary64
15×add-sqr-sqrt_binary64
12×associate-*l*_binary64
10×associate-*r*_binary64
*-un-lft-identity_binary64 pow1_binary64 add-cube-cbrt_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
pow-prod-down_binary64 cbrt-unprod_binary64 prod-exp_binary64
unswap-sqr_binary64
add-log-exp_binary64 *-commutative_binary64
Counts
2 → 50
Calls

2 calls:

10.0ms
(*.f64 (sqrt.f64 (sqrt.f64 2)) (*.f64 (fabs.f64 x) (sqrt.f64 (sqrt.f64 2))))
7.0ms
(*.f64 (fabs.f64 x) (sqrt.f64 (sqrt.f64 2)))

series118.0ms (4.7%)

Counts
2 → 6
Calls

2 calls:

68.0ms
(*.f64 (fabs.f64 x) (sqrt.f64 (sqrt.f64 2)))
50.0ms
(*.f64 (sqrt.f64 (sqrt.f64 2)) (*.f64 (fabs.f64 x) (sqrt.f64 (sqrt.f64 2))))

simplify60.0ms (2.4%)

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
05154685

prune48.0ms (1.9%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New56056
Fresh022
Picked011
Done022
Total56561

Merged error: 0b

Counts
61 → 5
Compiler

Compiled 714 to 571 computations (20% saved)

regimes118.0ms (4.7%)

Compiler

Compiled 894 to 730 computations (18.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01124
11124

end0.0ms (0%)

sample833.0ms (33.2%)

Algorithm
intervals
Results
401.0ms8000×body128valid
Compiler

Compiled 237 to 197 computations (16.9% saved)

Profiling

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