Details

Time bar (total: 1.9s)

analyze5.0ms (0.2%)

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)

simplify164.0ms (8.5%)

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: 30.1b

Counts
2 → 1
Compiler

Compiled 12 to 10 computations (16.7% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(*.f64 2 (*.f64 x x))
29.1b
(sqrt.f64 (*.f64 2 (*.f64 x x)))

rewrite14.0ms (0.7%)

Algorithm
1×rewrite-expression-head
Rules
13×pow1_binary64_140
7×add-exp-log_binary64_117 add-cbrt-cube_binary64_115
6×pow-prod-down_binary64_150
4×add-sqr-sqrt_binary64_101
3×associate-*l*_binary64_20 add-cube-cbrt_binary64_114 cbrt-unprod_binary64_112 prod-exp_binary64_128 sqrt-pow1_binary64_97 *-un-lft-identity_binary64_79
2×add-log-exp_binary64_118
1×sqrt-prod_binary64_95 unswap-sqr_binary64_47 *-commutative_binary64_10 pow1/2_binary64_159 associate-*r*_binary64_19
Counts
2 → 31
Calls

2 calls:

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

series96.0ms (5%)

Counts
2 → 6
Calls

2 calls:

56.0ms
(sqrt.f64 (*.f64 2 (*.f64 x x)))
39.0ms
(*.f64 2 (*.f64 x x))

simplify67.0ms (3.5%)

Algorithm
1×egg-herbie
Counts
37 → 37
Iterations

Useful iterations: 0 (58.0ms)

IterNodesCost
04979300
14979300

prune62.0ms (3.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New34337
Fresh000
Picked011
Done000
Total34438

Merged error: 0.2b

Counts
38 → 4
Compiler

Compiled 684 to 495 computations (27.6% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite10.0ms (0.5%)

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:

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

series48.0ms (2.5%)

Counts
1 → 3
Calls

1 calls:

48.0ms
(*.f64 (sqrt.f64 2) (fabs.f64 x))

simplify71.0ms (3.7%)

Algorithm
1×egg-herbie
Counts
25 → 25
Iterations

Useful iterations: 0 (63.0ms)

IterNodesCost
04861270
14861270

prune66.0ms (3.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New22325
Fresh112
Picked011
Done011
Total23629

Merged error: 0.0b

Counts
29 → 6
Compiler

Compiled 790 to 617 computations (21.9% saved)

localize7.0ms (0.4%)

Local error

Found 2 expressions with local error:

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

rewrite24.0ms (1.2%)

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)))

series218.0ms (11.3%)

Counts
2 → 6
Calls

2 calls:

164.0ms
(*.f64 (fabs.f64 x) (cbrt.f64 (sqrt.f64 2)))
54.0ms
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))) (*.f64 (fabs.f64 x) (cbrt.f64 (sqrt.f64 2))))

simplify73.0ms (3.8%)

Algorithm
1×egg-herbie
Counts
54 → 54
Iterations

Useful iterations: 0 (61.0ms)

IterNodesCost
05097624

prune61.0ms (3.2%)

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New53154
Fresh123
Picked011
Done022
Total54660

Merged error: 0b

Counts
60 → 6
Compiler

Compiled 879 to 726 computations (17.4% saved)

localize14.0ms (0.7%)

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))

series280.0ms (14.5%)

Counts
2 → 6
Calls

2 calls:

236.0ms
(*.f64 (pow.f64 (sqrt.f64 2) 2/3) (fabs.f64 x))
44.0ms
(*.f64 (cbrt.f64 (sqrt.f64 2)) (*.f64 (pow.f64 (sqrt.f64 2) 2/3) (fabs.f64 x)))

simplify69.0ms (3.6%)

Algorithm
1×egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
04987755
14987755

prune54.0ms (2.8%)

Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New60060
Fresh022
Picked011
Done033
Total60666

Merged error: 0b

Counts
66 → 6
Compiler

Compiled 809 to 654 computations (19.2% saved)

regimes55.0ms (2.8%)

Compiler

Compiled 254 to 232 computations (8.7% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01124
11124

end0.0ms (0%)

sample430.0ms (22.3%)

Algorithm
1×intervals
Results
186.0ms8000×body128valid
Compiler

Compiled 77 to 73 computations (5.2% saved)

Profiling

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