Details

Time bar (total: 1.7s)

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)

simplify87.0ms (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: 29.0b

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))
28.1b
(sqrt.f64 (*.f64 2 (*.f64 x x)))

rewrite14.0ms (0.8%)

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:

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

series57.0ms (3.3%)

Counts
2 → 6
Calls

2 calls:

39.0ms
(sqrt.f64 (*.f64 2 (*.f64 x x)))
18.0ms
(*.f64 2 (*.f64 x x))

simplify49.0ms (2.8%)

Algorithm
1×egg-herbie
Counts
37 → 37
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
04932300
14932300

prune31.0ms (1.8%)

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 380 to 251 computations (33.9% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite10.0ms (0.6%)

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:

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

series29.0ms (1.7%)

Counts
1 → 3
Calls

1 calls:

29.0ms
(*.f64 (sqrt.f64 2) (fabs.f64 x))

simplify69.0ms (4%)

Algorithm
1×egg-herbie
Counts
25 → 25
Iterations

Useful iterations: 0 (62.0ms)

IterNodesCost
04863270
14863270

prune24.0ms (1.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New21425
Fresh303
Picked011
Done011
Total24630

Merged error: 0.0b

Counts
30 → 6
Compiler

Compiled 287 to 206 computations (28.2% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.3b
(*.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 (1.3%)

Algorithm
1×rewrite-expression-head
Rules
21×sqrt-prod_binary64_94
15×add-sqr-sqrt_binary64_100
12×associate-*l*_binary64_19
10×associate-*r*_binary64_18
9×add-cbrt-cube_binary64_114 add-cube-cbrt_binary64_113 add-exp-log_binary64_116 *-un-lft-identity_binary64_78 pow1_binary64_139
4×cbrt-unprod_binary64_111 prod-exp_binary64_127 pow-prod-down_binary64_149
3×unswap-sqr_binary64_46
2×*-commutative_binary64_9 add-log-exp_binary64_117
Counts
2 → 50
Calls

2 calls:

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

series55.0ms (3.2%)

Counts
2 → 6
Calls

2 calls:

32.0ms
(*.f64 (fabs.f64 x) (sqrt.f64 (sqrt.f64 2)))
23.0ms
(*.f64 (sqrt.f64 (sqrt.f64 2)) (*.f64 (fabs.f64 x) (sqrt.f64 (sqrt.f64 2))))

simplify63.0ms (3.6%)

Algorithm
1×egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
05014685

prune51.0ms (2.9%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New55156
Fresh213
Picked011
Done022
Total57562

Merged error: 0.0b

Counts
62 → 5
Compiler

Compiled 740 to 594 computations (19.7% saved)

localize8.0ms (0.5%)

Local error

Found 3 expressions with local error:

0.3b
(*.f64 (sqrt.f64 (sqrt.f64 2)) (fabs.f64 x))
0.3b
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 2))) (*.f64 (*.f64 (sqrt.f64 (sqrt.f64 2)) (fabs.f64 x)) (sqrt.f64 (sqrt.f64 (sqrt.f64 2)))))
0.3b
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 2)) (fabs.f64 x)) (sqrt.f64 (sqrt.f64 (sqrt.f64 2))))

rewrite44.0ms (2.5%)

Algorithm
1×rewrite-expression-head
Rules
48×sqrt-prod_binary64_94
22×associate-*l*_binary64_19
21×add-sqr-sqrt_binary64_100
19×add-cbrt-cube_binary64_114 add-exp-log_binary64_116 pow1_binary64_139
16×associate-*r*_binary64_18
15×add-cube-cbrt_binary64_113 *-un-lft-identity_binary64_78
10×cbrt-unprod_binary64_111 prod-exp_binary64_127 pow-prod-down_binary64_149
3×*-commutative_binary64_9 add-log-exp_binary64_117 unswap-sqr_binary64_46
Counts
3 → 83
Calls

3 calls:

17.0ms
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 2))) (*.f64 (*.f64 (sqrt.f64 (sqrt.f64 2)) (fabs.f64 x)) (sqrt.f64 (sqrt.f64 (sqrt.f64 2)))))
12.0ms
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 2)) (fabs.f64 x)) (sqrt.f64 (sqrt.f64 (sqrt.f64 2))))
7.0ms
(*.f64 (sqrt.f64 (sqrt.f64 2)) (fabs.f64 x))

series185.0ms (10.6%)

Counts
3 → 9
Calls

3 calls:

131.0ms
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 2)) (fabs.f64 x)) (sqrt.f64 (sqrt.f64 (sqrt.f64 2))))
29.0ms
(*.f64 (sqrt.f64 (sqrt.f64 2)) (fabs.f64 x))
24.0ms
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 2))) (*.f64 (*.f64 (sqrt.f64 (sqrt.f64 2)) (fabs.f64 x)) (sqrt.f64 (sqrt.f64 (sqrt.f64 2)))))

simplify57.0ms (3.3%)

Algorithm
1×egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
052051347

prune100.0ms (5.7%)

Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New92092
Fresh011
Picked011
Done033
Total92597

Merged error: 0.0b

Counts
97 → 5
Compiler

Compiled 1608 to 1385 computations (13.9% saved)

regimes150.0ms (8.6%)

Compiler

Compiled 1155 to 943 computations (18.4% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01523
11523

end0.0ms (0%)

sample599.0ms (34.5%)

Algorithm
1×intervals
Results
186.0ms8000×body128valid
Compiler

Compiled 239 to 203 computations (15.1% saved)

Profiling

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