Details

Time bar (total: 2.7s)

analyze11.0ms (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 6 computations (14.3% saved)

sample296.0ms (10.8%)

Algorithm
1×intervals
Results
287.0ms256×body128valid
Compiler

Compiled 13 to 12 computations (7.7% saved)

simplify119.0ms (4.3%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (4.0ms)

IterNodesCost
0119
1119

prune6.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
31.3b
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))
30.3b
(sqrt.f64 (*.f64 2 (*.f64 x x)))

rewrite27.0ms (1%)

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:

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

series88.0ms (3.2%)

Counts
2 → 6
Calls

2 calls:

58.0ms
(sqrt.f64 (*.f64 2 (*.f64 x x)))
30.0ms
(*.f64 2 (*.f64 x x))

simplify67.0ms (2.5%)

Algorithm
1×egg-herbie
Counts
37 → 37
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
04932300
14932300

prune59.0ms (2.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

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

Compiled 345 to 229 computations (33.6% saved)

localize7.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

rewrite12.0ms (0.4%)

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:

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

series48.0ms (1.7%)

Counts
1 → 3
Calls

1 calls:

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

simplify82.0ms (3%)

Algorithm
1×egg-herbie
Counts
25 → 25
Iterations

Useful iterations: 0 (71.0ms)

IterNodesCost
04863270
14863270

prune25.0ms (0.9%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New21425
Fresh112
Picked011
Done011
Total22729
Error
0.0b
Counts
29 → 7
Compiler

Compiled 300 to 221 computations (26.3% saved)

localize11.0ms (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))))

rewrite23.0ms (0.8%)

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

series173.0ms (6.3%)

Counts
2 → 6
Calls

2 calls:

141.0ms
(*.f64 (fabs.f64 x) (cbrt.f64 (sqrt.f64 2)))
32.0ms
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))) (*.f64 (fabs.f64 x) (cbrt.f64 (sqrt.f64 2))))

simplify131.0ms (4.8%)

Algorithm
1×egg-herbie
Counts
54 → 54
Iterations

Useful iterations: 0 (108.0ms)

IterNodesCost
05097624

prune67.0ms (2.4%)

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)))

rewrite19.0ms (0.7%)

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

series211.0ms (7.7%)

Counts
2 → 6
Calls

2 calls:

175.0ms
(*.f64 (pow.f64 (sqrt.f64 2) 2/3) (fabs.f64 x))
36.0ms
(*.f64 (cbrt.f64 (sqrt.f64 2)) (*.f64 (pow.f64 (sqrt.f64 2) 2/3) (fabs.f64 x)))

simplify99.0ms (3.6%)

Algorithm
1×egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 0 (79.0ms)

IterNodesCost
04987755
14987755

prune72.0ms (2.6%)

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)

regimes213.0ms (7.8%)

Accuracy

Total 0.3b remaining (98.7%)

Threshold costs 0.3b (98.7%)

Compiler

Compiled 985 to 839 computations (14.8% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.2%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01431
11431

end0.0ms (0%)

sample842.0ms (30.8%)

Algorithm
1×intervals
Results
251.0ms8000×body128valid
0.0ms1×body128invalid
Compiler

Compiled 211 to 188 computations (10.9% saved)

Profiling

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