Details

Time bar (total: 2.5s)

analyze211.0ms (8.5%)

Algorithm
1×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)

sample23.0ms (0.9%)

Algorithm
1×intervals
Results
15.0ms256×body128valid
Compiler

Compiled 17 to 16 computations (5.9% saved)

simplify303.0ms (12.3%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (131.0ms)

IterNodesCost
047219
147219

prune6.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 31.5b

Counts
2 → 1
Compiler

Compiled 12 to 10 computations (16.7% saved)

localize13.0ms (0.5%)

Local error

Found 2 expressions with local error:

0.0b
(*.f64 2 (*.f64 x x))
30.4b
(sqrt.f64 (*.f64 2 (*.f64 x x)))

rewrite15.0ms (0.6%)

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

2 calls:

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

series105.0ms (4.3%)

Counts
2 → 6
Calls

2 calls:

61.0ms
(sqrt.f64 (*.f64 2 (*.f64 x x)))
44.0ms
(*.f64 2 (*.f64 x x))

simplify68.0ms (2.7%)

Algorithm
1×egg-herbie
Counts
37 → 37
Iterations

Useful iterations: 0 (59.0ms)

IterNodesCost
04979300
14979300

prune36.0ms (1.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New34337
Fresh000
Picked011
Done000
Total34438

Merged error: 0.3b

Counts
38 → 4
Compiler

Compiled 345 to 229 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
1×rewrite-expression-head
Rules
8×add-sqr-sqrt_binary64
6×associate-*l*_binary64
4×*-un-lft-identity_binary64 add-cube-cbrt_binary64 sqrt-prod_binary64
3×pow1_binary64 associate-*r*_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
2×unswap-sqr_binary64
1×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))

simplify58.0ms (2.3%)

Algorithm
1×egg-herbie
Counts
25 → 25
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
04869270
14869270

prune30.0ms (1.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New20525
Fresh112
Picked011
Done101
Total22729

Merged error: 0.0b

Counts
29 → 7
Compiler

Compiled 310 to 228 computations (26.5% saved)

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

rewrite23.0ms (0.9%)

Algorithm
1×rewrite-expression-head
Rules
16×pow1_binary64 add-exp-log_binary64
12×add-sqr-sqrt_binary64
10×associate-*r*_binary64
9×pow-prod-down_binary64 cbrt-unprod_binary64 add-cbrt-cube_binary64 prod-exp_binary64
8×cbrt-prod_binary64
6×*-un-lft-identity_binary64 add-cube-cbrt_binary64
4×associate-*l*_binary64 sqrt-prod_binary64
3×unswap-sqr_binary64
2×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)))

series235.0ms (9.5%)

Counts
2 → 6
Calls

2 calls:

188.0ms
(*.f64 (fabs.f64 x) (cbrt.f64 (sqrt.f64 2)))
47.0ms
(*.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
1×egg-herbie
Counts
54 → 54
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
05339624

prune56.0ms (2.3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New53154
Fresh145
Picked011
Done011
Total54761

Merged error: 0.0b

Counts
61 → 7
Compiler

Compiled 826 to 680 computations (17.7% saved)

localize12.0ms (0.5%)

Local error

Found 2 expressions with local error:

0.1b
(*.f64 (pow.f64 (sqrt.f64 2) 2/3) (fabs.f64 x))
0.3b
(*.f64 (cbrt.f64 (sqrt.f64 2)) (*.f64 (pow.f64 (sqrt.f64 2) 2/3) (fabs.f64 x)))

rewrite21.0ms (0.8%)

Algorithm
1×rewrite-expression-head
Rules
19×associate-*l*_binary64
17×add-exp-log_binary64
16×add-sqr-sqrt_binary64
10×prod-exp_binary64
9×*-un-lft-identity_binary64 add-cube-cbrt_binary64
8×unpow-prod-down_binary64
7×add-cbrt-cube_binary64 sqrt-prod_binary64
6×cbrt-prod_binary64
4×pow1_binary64 cbrt-unprod_binary64 associate-*r*_binary64 unswap-sqr_binary64
2×pow-to-exp_binary64 add-log-exp_binary64 sqr-pow_binary64 pow-exp_binary64 *-commutative_binary64
1×pow-prod-down_binary64
Counts
2 → 54
Calls

2 calls:

9.0ms
(*.f64 (cbrt.f64 (sqrt.f64 2)) (*.f64 (pow.f64 (sqrt.f64 2) 2/3) (fabs.f64 x)))
7.0ms
(*.f64 (pow.f64 (sqrt.f64 2) 2/3) (fabs.f64 x))

series288.0ms (11.7%)

Counts
2 → 6
Calls

2 calls:

237.0ms
(*.f64 (pow.f64 (sqrt.f64 2) 2/3) (fabs.f64 x))
52.0ms
(*.f64 (cbrt.f64 (sqrt.f64 2)) (*.f64 (pow.f64 (sqrt.f64 2) 2/3) (fabs.f64 x)))

simplify40.0ms (1.6%)

Algorithm
1×egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 0 (26.0ms)

IterNodesCost
05531755

prune58.0ms (2.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New58260
Fresh314
Picked011
Done202
Total63467

Merged error: 0b

Counts
67 → 4
Compiler

Compiled 809 to 654 computations (19.2% saved)

regimes14.0ms (0.6%)

Compiler

Compiled 63 to 63 computations (0% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01431
11431

end0.0ms (0%)

sample726.0ms (29.3%)

Algorithm
1×intervals
Results
457.0ms8000×body128valid
Compiler

Compiled 88 to 88 computations (0% saved)

Profiling

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