Details

Time bar (total: 3.6s)

analyze216.0ms (6%)

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)

sample21.0ms (0.6%)

Algorithm
1×intervals
Results
11.0ms256×body128valid
Compiler

Compiled 17 to 16 computations (5.9% saved)

simplify212.0ms (5.9%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (112.0ms)

IterNodesCost
049759
149759

prune7.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112
Error
31.3b
Counts
2 → 1
Compiler

Compiled 12 to 10 computations (16.7% saved)

localize6.0ms (0.2%)

Local error

Found 4 expressions with local error:

30.1b
(sqrt.f64 (*.f64 2 (*.f64 x x)))
0.0b
(*.f64 2 (*.f64 x x))
0.0b
(*.f64 2 (*.f64 x x))
30.1b
(sqrt.f64 (*.f64 2 (*.f64 x x)))

rewrite23.0ms (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

4 calls:

6.0ms
(sqrt.f64 (*.f64 2 (*.f64 x x)))
6.0ms
(*.f64 2 (*.f64 x x))
0.0ms
(*.f64 2 (*.f64 x x))
0.0ms
(sqrt.f64 (*.f64 2 (*.f64 x x)))

series61.0ms (1.7%)

Counts
2 → 6
Calls

2 calls:

36.0ms
(sqrt.f64 (*.f64 2 (*.f64 x x)))
24.0ms
(*.f64 2 (*.f64 x x))
Compiler

Compiled 64 to 64 computations (0% saved)

simplify52.0ms (1.4%)

Algorithm
1×egg-herbie
Counts
37 → 37
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
04932300
14932300

prune44.0ms (1.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New34337
Fresh000
Picked011
Done000
Total34438
Error
0.2b
Counts
38 → 4
Compiler

Compiled 365 to 240 computations (34.2% saved)

localize4.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

rewrite6.0ms (0.2%)

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

2 calls:

5.0ms
(*.f64 (sqrt.f64 2) (fabs.f64 x))
0.0ms
(*.f64 (sqrt.f64 2) (fabs.f64 x))

series32.0ms (0.9%)

Counts
1 → 3
Calls

1 calls:

32.0ms
(*.f64 (sqrt.f64 2) (fabs.f64 x))
Compiler

Compiled 30 to 30 computations (0% saved)

simplify72.0ms (2%)

Algorithm
1×egg-herbie
Counts
25 → 25
Iterations

Useful iterations: 0 (64.0ms)

IterNodesCost
04863270
14863270

prune36.0ms (1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New21425
Fresh202
Picked011
Done011
Total23629
Error
0.0b
Counts
29 → 6
Compiler

Compiled 281 to 204 computations (27.4% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite21.0ms (0.6%)

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

4 calls:

11.0ms
(*.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)))
0.0ms
(*.f64 (fabs.f64 x) (cbrt.f64 (sqrt.f64 2)))
0.0ms
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))) (*.f64 (fabs.f64 x) (cbrt.f64 (sqrt.f64 2))))

series128.0ms (3.6%)

Counts
2 → 6
Calls

2 calls:

96.0ms
(*.f64 (fabs.f64 x) (cbrt.f64 (sqrt.f64 2)))
31.0ms
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))) (*.f64 (fabs.f64 x) (cbrt.f64 (sqrt.f64 2))))
Compiler

Compiled 120 to 120 computations (0% saved)

simplify70.0ms (2%)

Algorithm
1×egg-herbie
Counts
54 → 54
Iterations

Useful iterations: 0 (58.0ms)

IterNodesCost
05097624

prune60.0ms (1.7%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New52254
Fresh123
Picked101
Done022
Total54660
Error
0.0b
Counts
60 → 6
Compiler

Compiled 825 to 681 computations (17.5% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b
(*.f64 (cbrt.f64 (sqrt.f64 2)) (*.f64 (pow.f64 (sqrt.f64 2) 2/3) (fabs.f64 x)))
0.2b
(*.f64 (pow.f64 (sqrt.f64 2) 2/3) (fabs.f64 x))
0.2b
(*.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)))

rewrite19.0ms (0.5%)

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

4 calls:

8.0ms
(*.f64 (cbrt.f64 (sqrt.f64 2)) (*.f64 (pow.f64 (sqrt.f64 2) 2/3) (fabs.f64 x)))
6.0ms
(*.f64 (pow.f64 (sqrt.f64 2) 2/3) (fabs.f64 x))
0.0ms
(*.f64 (pow.f64 (sqrt.f64 2) 2/3) (fabs.f64 x))
0.0ms
(*.f64 (cbrt.f64 (sqrt.f64 2)) (*.f64 (pow.f64 (sqrt.f64 2) 2/3) (fabs.f64 x)))

series144.0ms (4%)

Counts
2 → 6
Calls

2 calls:

115.0ms
(*.f64 (pow.f64 (sqrt.f64 2) 2/3) (fabs.f64 x))
29.0ms
(*.f64 (cbrt.f64 (sqrt.f64 2)) (*.f64 (pow.f64 (sqrt.f64 2) 2/3) (fabs.f64 x)))
Compiler

Compiled 108 to 108 computations (0% saved)

simplify70.0ms (1.9%)

Algorithm
1×egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
04987755
14987755

prune60.0ms (1.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New58260
Fresh123
Picked011
Done202
Total61566
Error
0b
Counts
66 → 5
Compiler

Compiled 809 to 654 computations (19.2% saved)

simplify8.0ms (0.2%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0120465
1120465

regimes185.0ms (5.2%)

Accuracy

Total 0.3b remaining (99.7%)

Threshold costs 0.3b (99.7%)

Compiler

Compiled 1243 to 1085 computations (12.7% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01431
11431

end0.0ms (0%)

sample2.0s (56.1%)

Algorithm
1×intervals
Results
351.0ms8000×body128valid
Compiler

Compiled 861 to 744 computations (13.6% saved)

Pareto

0.5810911258733491

Profiling

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