Details

Time bar (total: 3.4s)

analyze13.0ms (0.4%)

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 7 to 7 computations (0% saved)

sample271.0ms (8.1%)

Algorithm
1×intervals
Results
260.0ms256×body128valid
Compiler

Compiled 13 to 14 computations (-7.7% saved)

simplify370.0ms (11%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (223.0ms)

IterNodesCost
047569
147569

prune7.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112
Error
31.3b
Counts
2 → 1
Compiler

Compiled 12 to 11 computations (8.3% saved)

localize11.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b
(*.f64 2 (pow.f64 x 2))
30.3b
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))

rewrite25.0ms (0.8%)

Algorithm
1×rewrite-expression-head
Rules
11×add-sqr-sqrt_binary64
8×associate-*r*_binary64
7×add-exp-log_binary64
5×*-un-lft-identity_binary64 add-cube-cbrt_binary64
4×add-cbrt-cube_binary64 unswap-sqr_binary64 unpow-prod-down_binary64
3×pow1_binary64 associate-*l*_binary64 prod-exp_binary64
2×add-log-exp_binary64 unpow2_binary64 sqr-pow_binary64
1×pow-to-exp_binary64 pow1/2_binary64 cbrt-unprod_binary64 sqrt-pow1_binary64 sqrt-prod_binary64 pow-exp_binary64 *-commutative_binary64
Counts
2 → 37
Calls

2 calls:

11.0ms
(*.f64 2 (pow.f64 x 2))
9.0ms
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))

series111.0ms (3.3%)

Counts
2 → 6
Calls

2 calls:

62.0ms
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
49.0ms
(*.f64 2 (pow.f64 x 2))

simplify60.0ms (1.8%)

Algorithm
1×egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
04987360
14987360

prune72.0ms (2.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New38543
Fresh000
Picked011
Done000
Total38644
Error
0.2b
Counts
44 → 6
Compiler

Compiled 434 to 308 computations (29% saved)

localize8.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite18.0ms (0.5%)

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:

15.0ms
(*.f64 (sqrt.f64 2) (fabs.f64 x))

series50.0ms (1.5%)

Counts
1 → 3
Calls

1 calls:

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

simplify129.0ms (3.8%)

Algorithm
1×egg-herbie
Counts
25 → 25
Iterations

Useful iterations: 0 (113.0ms)

IterNodesCost
04863270
14863270

prune47.0ms (1.4%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New21425
Fresh314
Picked011
Done011
Total24731
Error
0.0b
Counts
31 → 7
Compiler

Compiled 300 to 221 computations (26.3% saved)

localize14.0ms (0.4%)

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))))

rewrite38.0ms (1.1%)

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:

22.0ms
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))) (*.f64 (fabs.f64 x) (cbrt.f64 (sqrt.f64 2))))
12.0ms
(*.f64 (fabs.f64 x) (cbrt.f64 (sqrt.f64 2)))

series221.0ms (6.6%)

Counts
2 → 6
Calls

2 calls:

191.0ms
(*.f64 (fabs.f64 x) (cbrt.f64 (sqrt.f64 2)))
30.0ms
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))) (*.f64 (fabs.f64 x) (cbrt.f64 (sqrt.f64 2))))

simplify128.0ms (3.8%)

Algorithm
1×egg-herbie
Counts
54 → 54
Iterations

Useful iterations: 0 (104.0ms)

IterNodesCost
05097624

prune93.0ms (2.8%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New53154
Fresh044
Picked011
Done112
Total54761
Error
0b
Counts
61 → 7
Compiler

Compiled 836 to 689 computations (17.6% saved)

localize9.0ms (0.3%)

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)))

rewrite33.0ms (1%)

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:

13.0ms
(*.f64 (cbrt.f64 (sqrt.f64 2)) (*.f64 (pow.f64 (sqrt.f64 2) 2/3) (fabs.f64 x)))
12.0ms
(*.f64 (pow.f64 (sqrt.f64 2) 2/3) (fabs.f64 x))

series256.0ms (7.6%)

Counts
2 → 6
Calls

2 calls:

224.0ms
(*.f64 (pow.f64 (sqrt.f64 2) 2/3) (fabs.f64 x))
32.0ms
(*.f64 (cbrt.f64 (sqrt.f64 2)) (*.f64 (pow.f64 (sqrt.f64 2) 2/3) (fabs.f64 x)))

simplify136.0ms (4%)

Algorithm
1×egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 0 (107.0ms)

IterNodesCost
04987755
14987755

prune79.0ms (2.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New59160
Fresh224
Picked011
Done112
Total62567
Error
0b
Counts
67 → 5
Compiler

Compiled 809 to 654 computations (19.2% saved)

regimes169.0ms (5%)

Accuracy

Total 0.3b remaining (98.7%)

Threshold costs 0.3b (98.7%)

Compiler

Compiled 906 to 790 computations (12.8% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01431
11431

end0.0ms (0%)

sample990.0ms (29.5%)

Algorithm
1×intervals
Results
345.0ms8000×body128valid
0.0ms1×body128invalid
Compiler

Compiled 244 to 216 computations (11.5% saved)

Profiling

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