Details

Time bar (total: 8.3s)

analyze5.0ms (0.1%)

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 (0.1%)

Algorithm
1×intervals
Results
6.0ms256×body128valid
Compiler

Compiled 13 to 12 computations (7.7% saved)

simplify108.0ms (1.3%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0119
1119

prune4.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 29.3b

Counts
2 → 1
Compiler

Compiled 12 to 10 computations (16.7% saved)

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b
(*.f64 2 (*.f64 x x))
28.4b
(sqrt.f64 (*.f64 2 (*.f64 x x)))

rewrite33.0ms (0.4%)

Algorithm
1×rewrite-expression-head
Rules
13×pow1_binary64_139
7×add-cbrt-cube_binary64_114 add-exp-log_binary64_116
6×pow-prod-down_binary64_149
4×add-sqr-sqrt_binary64_100
3×associate-*l*_binary64_19 sqrt-pow1_binary64_96 cbrt-unprod_binary64_111 prod-exp_binary64_127 add-cube-cbrt_binary64_113 *-un-lft-identity_binary64_78
2×add-log-exp_binary64_117
1×sqrt-prod_binary64_94 *-commutative_binary64_9 associate-*r*_binary64_18 unswap-sqr_binary64_46 pow1/2_binary64_158
Counts
2 → 31
Calls

2 calls:

14.0ms
(*.f64 2 (*.f64 x x))
13.0ms
(sqrt.f64 (*.f64 2 (*.f64 x x)))

series115.0ms (1.4%)

Counts
2 → 6
Calls

2 calls:

64.0ms
(sqrt.f64 (*.f64 2 (*.f64 x x)))
50.0ms
(*.f64 2 (*.f64 x x))

simplify122.0ms (1.5%)

Algorithm
1×egg-herbie
Counts
37 → 37
Iterations

Useful iterations: 0 (99.0ms)

IterNodesCost
04932300
14932300

prune240.0ms (2.9%)

Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New221537
Fresh000
Picked101
Done000
Total231538

Merged error: 0.2b

Counts
38 → 15
Compiler

Compiled 476 to 334 computations (29.8% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite10.0ms (0.1%)

Algorithm
1×rewrite-expression-head
Rules
8×add-sqr-sqrt_binary64_100
6×associate-*l*_binary64_19
4×sqrt-prod_binary64_94 add-cube-cbrt_binary64_113 *-un-lft-identity_binary64_78
3×add-cbrt-cube_binary64_114 associate-*r*_binary64_18 add-exp-log_binary64_116 pow1_binary64_139
2×unswap-sqr_binary64_46
1×*-commutative_binary64_9 add-log-exp_binary64_117 cbrt-unprod_binary64_111 prod-exp_binary64_127 pow-prod-down_binary64_149
Counts
1 → 22
Calls

1 calls:

8.0ms
(*.f64 (sqrt.f64 2) (fabs.f64 x))

series49.0ms (0.6%)

Counts
1 → 3
Calls

1 calls:

49.0ms
(*.f64 (sqrt.f64 2) (fabs.f64 x))

simplify98.0ms (1.2%)

Algorithm
1×egg-herbie
Counts
25 → 25
Iterations

Useful iterations: 0 (90.0ms)

IterNodesCost
04863270
14863270

prune119.0ms (1.4%)

Pruning

22 alts after pruning (21 fresh and 1 done)

PrunedKeptTotal
New141125
Fresh41014
Picked011
Done000
Total182240

Merged error: 0.0b

Counts
40 → 22
Compiler

Compiled 481 to 364 computations (24.3% saved)

localize11.0ms (0.1%)

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))))

rewrite50.0ms (0.6%)

Algorithm
1×rewrite-expression-head
Rules
16×add-exp-log_binary64_116 pow1_binary64_139
12×add-sqr-sqrt_binary64_100
10×associate-*r*_binary64_18
9×add-cbrt-cube_binary64_114 cbrt-unprod_binary64_111 prod-exp_binary64_127 pow-prod-down_binary64_149
8×cbrt-prod_binary64_109
6×add-cube-cbrt_binary64_113 *-un-lft-identity_binary64_78
4×sqrt-prod_binary64_94 associate-*l*_binary64_19
3×unswap-sqr_binary64_46
2×*-commutative_binary64_9 add-log-exp_binary64_117
Counts
2 → 48
Calls

2 calls:

24.0ms
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))) (*.f64 (fabs.f64 x) (cbrt.f64 (sqrt.f64 2))))
17.0ms
(*.f64 (fabs.f64 x) (cbrt.f64 (sqrt.f64 2)))

series172.0ms (2.1%)

Counts
2 → 6
Calls

2 calls:

125.0ms
(*.f64 (fabs.f64 x) (cbrt.f64 (sqrt.f64 2)))
47.0ms
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))) (*.f64 (fabs.f64 x) (cbrt.f64 (sqrt.f64 2))))

simplify93.0ms (1.1%)

Algorithm
1×egg-herbie
Counts
54 → 54
Iterations

Useful iterations: 0 (77.0ms)

IterNodesCost
05097624

prune374.0ms (4.5%)

Pruning

37 alts after pruning (35 fresh and 2 done)

PrunedKeptTotal
New391554
Fresh02020
Picked011
Done011
Total393776

Merged error: 0b

Counts
76 → 37
Compiler

Compiled 1318 to 1112 computations (15.6% saved)

localize17.0ms (0.2%)

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)))

rewrite38.0ms (0.5%)

Algorithm
1×rewrite-expression-head
Rules
19×associate-*l*_binary64_19
17×add-exp-log_binary64_116
16×add-sqr-sqrt_binary64_100
10×prod-exp_binary64_127
9×add-cube-cbrt_binary64_113 *-un-lft-identity_binary64_78
8×unpow-prod-down_binary64_157
7×add-cbrt-cube_binary64_114 sqrt-prod_binary64_94
6×cbrt-prod_binary64_109
4×cbrt-unprod_binary64_111 associate-*r*_binary64_18 unswap-sqr_binary64_46 pow1_binary64_139
2×*-commutative_binary64_9 pow-exp_binary64_146 pow-to-exp_binary64_147 add-log-exp_binary64_117 sqr-pow_binary64_50
1×pow-prod-down_binary64_149
Counts
2 → 54
Calls

2 calls:

18.0ms
(*.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))

series166.0ms (2%)

Counts
2 → 6
Calls

2 calls:

137.0ms
(*.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)))

simplify85.0ms (1%)

Algorithm
1×egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 0 (71.0ms)

IterNodesCost
04987755
14987755

prune369.0ms (4.4%)

Pruning

55 alts after pruning (52 fresh and 3 done)

PrunedKeptTotal
New392160
Fresh33134
Picked011
Done022
Total425597

Merged error: 0b

Counts
97 → 55
Compiler

Compiled 809 to 654 computations (19.2% saved)

regimes1.1s (13.2%)

Compiler

Compiled 5882 to 5380 computations (8.5% saved)

bsearch2.0s (23.7%)

simplify4.0ms (0%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01431
11431

end0.0ms (0%)

sample2.9s (35.2%)

Algorithm
1×intervals
Results
285.0ms8000×body128valid
Compiler

Compiled 1389 to 1288 computations (7.3% saved)

Pareto

0

Profiling

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