Details

Time bar (total: 1.6s)

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 (0.7%)

Algorithm
1×intervals
Results
6.0ms256×body128valid
Compiler

Compiled 13 to 12 computations (7.7% saved)

simplify168.0ms (10.4%)

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)

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b
(*.f64 2 (*.f64 x x))
27.6b
(sqrt.f64 (*.f64 2 (*.f64 x x)))

rewrite15.0ms (0.9%)

Algorithm
1×rewrite-expression-head
Rules
13×pow1_binary64_135
7×add-exp-log_binary64_112 add-cbrt-cube_binary64_110
6×pow-prod-down_binary64_145
4×add-sqr-sqrt_binary64_98
3×associate-*l*_binary64_20 sqrt-pow1_binary64_94 cbrt-unprod_binary64_107 prod-exp_binary64_123 add-cube-cbrt_binary64_109 *-un-lft-identity_binary64_77
2×add-log-exp_binary64_113
1×sqrt-prod_binary64_92 unswap-sqr_binary64_45 *-commutative_binary64_10 pow1/2_binary64_154 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)))

series101.0ms (6.2%)

Counts
2 → 6
Calls

2 calls:

60.0ms
(sqrt.f64 (*.f64 2 (*.f64 x x)))
41.0ms
(*.f64 2 (*.f64 x x))

simplify68.0ms (4.2%)

Algorithm
1×egg-herbie
Counts
37 → 37
Iterations

Useful iterations: 0 (59.0ms)

IterNodesCost
04979300
14979300

prune38.0ms (2.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New33437
Fresh000
Picked011
Done000
Total33538

Merged error: 0.2b

Counts
38 → 5
Compiler

Compiled 366 to 243 computations (33.6% 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_98
6×associate-*l*_binary64_20
4×sqrt-prod_binary64_92 add-cube-cbrt_binary64_109 *-un-lft-identity_binary64_77
3×add-exp-log_binary64_112 add-cbrt-cube_binary64_110 pow1_binary64_135 associate-*r*_binary64_19
2×unswap-sqr_binary64_45
1×pow-prod-down_binary64_145 add-log-exp_binary64_113 cbrt-unprod_binary64_107 prod-exp_binary64_123 *-commutative_binary64_10
Counts
1 → 22
Calls

1 calls:

5.0ms
(*.f64 (sqrt.f64 2) (fabs.f64 x))

series48.0ms (3%)

Counts
1 → 3
Calls

1 calls:

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

simplify59.0ms (3.6%)

Algorithm
1×egg-herbie
Counts
25 → 25
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
04869270
14869270

prune28.0ms (1.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New21425
Fresh303
Picked011
Done101
Total25530

Merged error: 0b

Counts
30 → 5
Compiler

Compiled 281 to 204 computations (27.4% saved)

localize7.0ms (0.5%)

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))))

rewrite23.0ms (1.4%)

Algorithm
1×rewrite-expression-head
Rules
16×add-exp-log_binary64_112 pow1_binary64_135
12×add-sqr-sqrt_binary64_98
10×associate-*r*_binary64_19
9×add-cbrt-cube_binary64_110 pow-prod-down_binary64_145 cbrt-unprod_binary64_107 prod-exp_binary64_123
8×cbrt-prod_binary64_105
6×add-cube-cbrt_binary64_109 *-un-lft-identity_binary64_77
4×sqrt-prod_binary64_92 associate-*l*_binary64_20
3×unswap-sqr_binary64_45
2×add-log-exp_binary64_113 *-commutative_binary64_10
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)))

series225.0ms (13.8%)

Counts
2 → 6
Calls

2 calls:

178.0ms
(*.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))))

simplify68.0ms (4.2%)

Algorithm
1×egg-herbie
Counts
54 → 54
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
05339624

prune55.0ms (3.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New54054
Fresh033
Picked011
Done011
Total54559

Merged error: 0b

Counts
59 → 5
Compiler

Compiled 806 to 661 computations (18% saved)

localize6.0ms (0.4%)

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))))

rewrite23.0ms (1.4%)

Algorithm
1×rewrite-expression-head
Rules
21×sqrt-prod_binary64_92
15×add-sqr-sqrt_binary64_98
12×associate-*l*_binary64_20
10×associate-*r*_binary64_19
9×add-exp-log_binary64_112 add-cbrt-cube_binary64_110 pow1_binary64_135 add-cube-cbrt_binary64_109 *-un-lft-identity_binary64_77
4×pow-prod-down_binary64_145 cbrt-unprod_binary64_107 prod-exp_binary64_123
3×unswap-sqr_binary64_45
2×add-log-exp_binary64_113 *-commutative_binary64_10
Counts
2 → 50
Calls

2 calls:

10.0ms
(*.f64 (sqrt.f64 (sqrt.f64 2)) (*.f64 (fabs.f64 x) (sqrt.f64 (sqrt.f64 2))))
8.0ms
(*.f64 (fabs.f64 x) (sqrt.f64 (sqrt.f64 2)))

series107.0ms (6.6%)

Counts
2 → 6
Calls

2 calls:

59.0ms
(*.f64 (fabs.f64 x) (sqrt.f64 (sqrt.f64 2)))
47.0ms
(*.f64 (sqrt.f64 (sqrt.f64 2)) (*.f64 (fabs.f64 x) (sqrt.f64 (sqrt.f64 2))))

simplify60.0ms (3.7%)

Algorithm
1×egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
05154685

prune48.0ms (3%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New56056
Fresh022
Picked011
Done022
Total56561

Merged error: 0b

Counts
61 → 5
Compiler

Compiled 714 to 571 computations (20% saved)

regimes14.0ms (0.9%)

Compiler

Compiled 56 to 50 computations (10.7% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01124
11124

end0.0ms (0%)

sample427.0ms (26.3%)

Algorithm
1×intervals
Results
192.0ms8000×body128valid
Compiler

Compiled 75 to 69 computations (8% saved)

Profiling

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