Details

Time bar (total: 2.4s)

analyze14.0ms (0.6%)

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)

sample219.0ms (9.3%)

Algorithm
1×intervals
Results
211.0ms256×body128valid
Compiler

Compiled 17 to 16 computations (5.9% saved)

simplify274.0ms (11.6%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (111.0ms)

IterNodesCost
049759
149759

prune10.0ms (0.4%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112
Error
32.5b
Counts
2 → 1
Compiler

Compiled 12 to 10 computations (16.7% saved)

localize10.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.0b
(*.f64 2 (*.f64 x x))
31.2b
(sqrt.f64 (*.f64 2 (*.f64 x x)))

rewrite18.0ms (0.8%)

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:

9.0ms
(sqrt.f64 (*.f64 2 (*.f64 x x)))
6.0ms
(*.f64 2 (*.f64 x x))

series63.0ms (2.7%)

Counts
2 → 6
Calls

2 calls:

44.0ms
(sqrt.f64 (*.f64 2 (*.f64 x x)))
19.0ms
(*.f64 2 (*.f64 x x))

simplify53.0ms (2.2%)

Algorithm
1×egg-herbie
Counts
37 → 37
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
04932300
14932300

prune31.0ms (1.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New33437
Fresh000
Picked011
Done000
Total33538
Error
0.3b
Counts
38 → 5
Compiler

Compiled 352 to 236 computations (33% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.5b
(*.f64 (sqrt.f64 2) (fabs.f64 x))

rewrite6.0ms (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))

series34.0ms (1.4%)

Counts
1 → 3
Calls

1 calls:

34.0ms
(*.f64 (sqrt.f64 2) (fabs.f64 x))

simplify77.0ms (3.3%)

Algorithm
1×egg-herbie
Counts
25 → 25
Iterations

Useful iterations: 0 (69.0ms)

IterNodesCost
04863270
14863270

prune24.0ms (1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New21425
Fresh303
Picked011
Done011
Total24630
Error
0.0b
Counts
30 → 6
Compiler

Compiled 289 to 212 computations (26.6% 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))))

rewrite21.0ms (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:

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)))

series129.0ms (5.5%)

Counts
2 → 6
Calls

2 calls:

102.0ms
(*.f64 (fabs.f64 x) (cbrt.f64 (sqrt.f64 2)))
27.0ms
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))) (*.f64 (fabs.f64 x) (cbrt.f64 (sqrt.f64 2))))

simplify72.0ms (3.1%)

Algorithm
1×egg-herbie
Counts
54 → 54
Iterations

Useful iterations: 0 (60.0ms)

IterNodesCost
05097624

prune56.0ms (2.4%)

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New53154
Fresh123
Picked011
Done022
Total54660
Error
0b
Counts
60 → 6
Compiler

Compiled 819 to 675 computations (17.6% 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))))

rewrite22.0ms (0.9%)

Algorithm
1×rewrite-expression-head
Rules
21×sqrt-prod_binary64
15×add-sqr-sqrt_binary64
12×associate-*l*_binary64
10×associate-*r*_binary64
9×*-un-lft-identity_binary64 pow1_binary64 add-cube-cbrt_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
4×pow-prod-down_binary64 cbrt-unprod_binary64 prod-exp_binary64
3×unswap-sqr_binary64
2×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))))
9.0ms
(*.f64 (fabs.f64 x) (sqrt.f64 (sqrt.f64 2)))

series56.0ms (2.4%)

Counts
2 → 6
Calls

2 calls:

30.0ms
(*.f64 (fabs.f64 x) (sqrt.f64 (sqrt.f64 2)))
25.0ms
(*.f64 (sqrt.f64 (sqrt.f64 2)) (*.f64 (fabs.f64 x) (sqrt.f64 (sqrt.f64 2))))

simplify63.0ms (2.7%)

Algorithm
1×egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
05014685

prune49.0ms (2.1%)

Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New56056
Fresh022
Picked011
Done033
Total56662
Error
0b
Counts
62 → 6
Compiler

Compiled 714 to 571 computations (20% saved)

regimes146.0ms (6.2%)

Accuracy

Total 0.4b remaining (99.8%)

Threshold costs 0.4b (99.8%)

Compiler

Compiled 1206 to 1042 computations (13.6% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01218
11218

end0.0ms (0%)

sample889.0ms (37.7%)

Algorithm
1×intervals
Results
353.0ms8000×body128valid
0.0ms2×body128invalid
Compiler

Compiled 312 to 272 computations (12.8% saved)

Profiling

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