Details

Time bar (total: 2.0s)

analyze5.0ms (0.3%)

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)

sample11.0ms (0.6%)

Algorithm
1×intervals
Results
6.0ms256×body128valid
Compiler

Compiled 13 to 12 computations (7.7% saved)

simplify168.0ms (8.6%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0119
1119

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 28.6b

Counts
2 → 1
Compiler

Compiled 12 to 10 computations (16.7% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite7.0ms (0.4%)

Algorithm
1×rewrite-expression-head
Rules
7×pow1_binary64_140
3×pow-prod-down_binary64_150 sqrt-pow1_binary64_97
1×sqrt-prod_binary64_95 add-exp-log_binary64_117 add-cbrt-cube_binary64_115 add-cube-cbrt_binary64_114 add-sqr-sqrt_binary64_101 add-log-exp_binary64_118 pow1/2_binary64_159 *-un-lft-identity_binary64_79
Counts
1 → 12
Calls

1 calls:

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

series57.0ms (2.9%)

Counts
1 → 3
Calls

1 calls:

56.0ms
(sqrt.f64 (*.f64 2 (*.f64 x x)))

simplify152.0ms (7.8%)

Algorithm
1×egg-herbie
Counts
15 → 15
Iterations

Useful iterations: 0 (145.0ms)

IterNodesCost
04780120
14780120

prune40.0ms (2.1%)

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))

rewrite7.0ms (0.4%)

Algorithm
1×rewrite-expression-head
Rules
8×add-sqr-sqrt_binary64_101
6×associate-*l*_binary64_20
4×sqrt-prod_binary64_95 add-cube-cbrt_binary64_114 *-un-lft-identity_binary64_79
3×add-exp-log_binary64_117 add-cbrt-cube_binary64_115 pow1_binary64_140 associate-*r*_binary64_19
2×unswap-sqr_binary64_47
1×cbrt-unprod_binary64_112 prod-exp_binary64_128 *-commutative_binary64_10 pow-prod-down_binary64_150 add-log-exp_binary64_118
Counts
1 → 22
Calls

1 calls:

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

series47.0ms (2.4%)

Counts
1 → 3
Calls

1 calls:

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

simplify73.0ms (3.7%)

Algorithm
1×egg-herbie
Counts
25 → 25
Iterations

Useful iterations: 0 (65.0ms)

IterNodesCost
04861270
14861270

prune70.0ms (3.6%)

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)

localize10.0ms (0.5%)

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))))

rewrite25.0ms (1.3%)

Algorithm
1×rewrite-expression-head
Rules
16×add-exp-log_binary64_117 pow1_binary64_140
12×add-sqr-sqrt_binary64_101
10×associate-*r*_binary64_19
9×add-cbrt-cube_binary64_115 cbrt-unprod_binary64_112 prod-exp_binary64_128 pow-prod-down_binary64_150
8×cbrt-prod_binary64_110
6×add-cube-cbrt_binary64_114 *-un-lft-identity_binary64_79
4×sqrt-prod_binary64_95 associate-*l*_binary64_20
3×unswap-sqr_binary64_47
2×*-commutative_binary64_10 add-log-exp_binary64_118
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))))
7.0ms
(*.f64 (fabs.f64 x) (cbrt.f64 (sqrt.f64 2)))

series213.0ms (10.9%)

Counts
2 → 6
Calls

2 calls:

167.0ms
(*.f64 (fabs.f64 x) (cbrt.f64 (sqrt.f64 2)))
46.0ms
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))) (*.f64 (fabs.f64 x) (cbrt.f64 (sqrt.f64 2))))

simplify74.0ms (3.8%)

Algorithm
1×egg-herbie
Counts
54 → 54
Iterations

Useful iterations: 0 (62.0ms)

IterNodesCost
05097624

prune66.0ms (3.4%)

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 (0.6%)

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)))

rewrite22.0ms (1.1%)

Algorithm
1×rewrite-expression-head
Rules
19×associate-*l*_binary64_20
17×add-exp-log_binary64_117
16×add-sqr-sqrt_binary64_101
10×prod-exp_binary64_128
9×add-cube-cbrt_binary64_114 *-un-lft-identity_binary64_79
8×unpow-prod-down_binary64_158
7×sqrt-prod_binary64_95 add-cbrt-cube_binary64_115
6×cbrt-prod_binary64_110
4×unswap-sqr_binary64_47 cbrt-unprod_binary64_112 pow1_binary64_140 associate-*r*_binary64_19
2×pow-exp_binary64_147 pow-to-exp_binary64_148 sqr-pow_binary64_51 *-commutative_binary64_10 add-log-exp_binary64_118
1×pow-prod-down_binary64_150
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))

series283.0ms (14.5%)

Counts
2 → 6
Calls

2 calls:

231.0ms
(*.f64 (pow.f64 (sqrt.f64 2) 2/3) (fabs.f64 x))
52.0ms
(*.f64 (cbrt.f64 (sqrt.f64 2)) (*.f64 (pow.f64 (sqrt.f64 2) 2/3) (fabs.f64 x)))

simplify70.0ms (3.6%)

Algorithm
1×egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 0 (58.0ms)

IterNodesCost
04987755
14987755

prune64.0ms (3.3%)

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 (0.8%)

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%)

sample449.0ms (23%)

Algorithm
1×intervals
Results
194.0ms8000×body128valid
Compiler

Compiled 93 to 90 computations (3.2% saved)

Profiling

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