Details

Time bar (total: 2.6s)

analyze218.0ms (8.4%)

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
14.0ms256×body128valid
Compiler

Compiled 17 to 16 computations (5.9% saved)

simplify316.0ms (12.1%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (137.0ms)

IterNodesCost
047219
147219

prune8.0ms (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 26 to 22 computations (15.4% saved)

localize12.0ms (0.5%)

Local error

Found 1 expressions with local error:

27.5b
(sqrt.f64 (*.f64 2 (*.f64 x x)))

rewrite8.0ms (0.3%)

Algorithm
1×rewrite-expression-head
Rules
7×pow1_binary64
3×pow-prod-down_binary64 sqrt-pow1_binary64
1×*-un-lft-identity_binary64 add-log-exp_binary64 pow1/2_binary64 add-cube-cbrt_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 add-sqr-sqrt_binary64 sqrt-prod_binary64
Counts
1 → 12
Calls

1 calls:

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

series58.0ms (2.2%)

Counts
1 → 3
Calls

1 calls:

58.0ms
(sqrt.f64 (*.f64 2 (*.f64 x x)))

simplify151.0ms (5.8%)

Algorithm
1×egg-herbie
Counts
15 → 15
Iterations

Useful iterations: 0 (143.0ms)

IterNodesCost
04780120
14780120

prune38.0ms (1.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New12315
Fresh000
Picked011
Done000
Total12416

Merged error: 0.2b

Counts
16 → 4
Compiler

Compiled 385 to 281 computations (27% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite8.0ms (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:

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

series47.0ms (1.8%)

Counts
1 → 3
Calls

1 calls:

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

simplify71.0ms (2.7%)

Algorithm
1×egg-herbie
Counts
25 → 25
Iterations

Useful iterations: 0 (63.0ms)

IterNodesCost
04861270
14861270

prune71.0ms (2.7%)

Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New19625
Fresh202
Picked011
Done011
Total21829

Merged error: 0.0b

Counts
29 → 8
Compiler

Compiled 867 to 684 computations (21.1% 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))))

rewrite26.0ms (1%)

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:

13.0ms
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))) (*.f64 (fabs.f64 x) (cbrt.f64 (sqrt.f64 2))))
9.0ms
(*.f64 (fabs.f64 x) (cbrt.f64 (sqrt.f64 2)))

series246.0ms (9.4%)

Counts
2 → 6
Calls

2 calls:

200.0ms
(*.f64 (fabs.f64 x) (cbrt.f64 (sqrt.f64 2)))
45.0ms
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))) (*.f64 (fabs.f64 x) (cbrt.f64 (sqrt.f64 2))))

simplify69.0ms (2.7%)

Algorithm
1×egg-herbie
Counts
54 → 54
Iterations

Useful iterations: 0 (58.0ms)

IterNodesCost
05097624

prune65.0ms (2.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New53154
Fresh145
Picked011
Done112
Total55762

Merged error: 0.0b

Counts
62 → 7
Compiler

Compiled 936 to 768 computations (17.9% saved)

localize12.0ms (0.4%)

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:

10.0ms
(*.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%)

Counts
2 → 6
Calls

2 calls:

239.0ms
(*.f64 (pow.f64 (sqrt.f64 2) 2/3) (fabs.f64 x))
48.0ms
(*.f64 (cbrt.f64 (sqrt.f64 2)) (*.f64 (pow.f64 (sqrt.f64 2) 2/3) (fabs.f64 x)))

simplify70.0ms (2.7%)

Algorithm
1×egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
04987755
14987755

prune65.0ms (2.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New59160
Fresh224
Picked011
Done112
Total62567

Merged error: 0.0b

Counts
67 → 5
Compiler

Compiled 907 to 739 computations (18.5% saved)

regimes15.0ms (0.6%)

Compiler

Compiled 70 to 67 computations (4.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01431
11431

end0.0ms (0%)

sample691.0ms (26.5%)

Algorithm
1×intervals
Results
409.0ms8000×body128valid
Compiler

Compiled 95 to 92 computations (3.2% saved)

Profiling

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