Details

Time bar (total: 2.5s)

analyze217.0ms (8.5%)

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 9 to 8 computations (11.1% saved)

sample23.0ms (0.9%)

Algorithm
1×intervals
Results
15.0ms256×body128valid
Compiler

Compiled 17 to 16 computations (5.9% saved)

simplify307.0ms (12.1%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (131.0ms)

IterNodesCost
047219
147219

prune6.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 31.7b

Counts
2 → 1
Compiler

Compiled 12 to 10 computations (16.7% saved)

localize13.0ms (0.5%)

Local error

Found 1 expressions with local error:

30.6b
(sqrt.f64 (*.f64 2 (*.f64 x x)))

rewrite8.0ms (0.3%)

Algorithm
1×rewrite-expression-head
Rules
7×pow1_binary64
3×pow-prod-down_binary64 sqrt-pow1_binary64
1×*-un-lft-identity_binary64 add-log-exp_binary64 pow1/2_binary64 add-cube-cbrt_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 add-sqr-sqrt_binary64 sqrt-prod_binary64
Counts
1 → 12
Calls

1 calls:

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

series60.0ms (2.4%)

Counts
1 → 3
Calls

1 calls:

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

simplify145.0ms (5.7%)

Algorithm
1×egg-herbie
Counts
15 → 15
Iterations

Useful iterations: 0 (138.0ms)

IterNodesCost
04780120
14780120

prune19.0ms (0.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New11415
Fresh000
Picked011
Done000
Total11516

Merged error: 0.2b

Counts
16 → 5
Compiler

Compiled 177 to 121 computations (31.6% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite6.0ms (0.3%)

Algorithm
1×rewrite-expression-head
Rules
8×add-sqr-sqrt_binary64
6×associate-*l*_binary64
4×*-un-lft-identity_binary64 add-cube-cbrt_binary64 sqrt-prod_binary64
3×pow1_binary64 associate-*r*_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
2×unswap-sqr_binary64
1×pow-prod-down_binary64 add-log-exp_binary64 cbrt-unprod_binary64 prod-exp_binary64 *-commutative_binary64
Counts
1 → 22
Calls

1 calls:

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

series56.0ms (2.2%)

Counts
1 → 3
Calls

1 calls:

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

simplify59.0ms (2.3%)

Algorithm
1×egg-herbie
Counts
25 → 25
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
04869270
14869270

prune24.0ms (1%)

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 (0.2%)

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))))

rewrite21.0ms (0.8%)

Algorithm
1×rewrite-expression-head
Rules
21×sqrt-prod_binary64
15×add-sqr-sqrt_binary64
12×associate-*l*_binary64
10×associate-*r*_binary64
9×*-un-lft-identity_binary64 pow1_binary64 add-cube-cbrt_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
4×pow-prod-down_binary64 cbrt-unprod_binary64 prod-exp_binary64
3×unswap-sqr_binary64
2×add-log-exp_binary64 *-commutative_binary64
Counts
2 → 50
Calls

2 calls:

10.0ms
(*.f64 (sqrt.f64 (sqrt.f64 2)) (*.f64 (fabs.f64 x) (sqrt.f64 (sqrt.f64 2))))
7.0ms
(*.f64 (fabs.f64 x) (sqrt.f64 (sqrt.f64 2)))

series123.0ms (4.9%)

Counts
2 → 6
Calls

2 calls:

77.0ms
(*.f64 (fabs.f64 x) (sqrt.f64 (sqrt.f64 2)))
46.0ms
(*.f64 (sqrt.f64 (sqrt.f64 2)) (*.f64 (fabs.f64 x) (sqrt.f64 (sqrt.f64 2))))

simplify59.0ms (2.3%)

Algorithm
1×egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
05154685

prune57.0ms (2.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New54256
Fresh123
Picked011
Done112
Total56662

Merged error: 0.0b

Counts
62 → 6
Compiler

Compiled 784 to 634 computations (19.1% saved)

localize8.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

rewrite47.0ms (1.9%)

Algorithm
1×rewrite-expression-head
Rules
48×sqrt-prod_binary64
22×associate-*l*_binary64
21×add-sqr-sqrt_binary64
19×pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
16×associate-*r*_binary64
15×*-un-lft-identity_binary64 add-cube-cbrt_binary64
10×pow-prod-down_binary64 cbrt-unprod_binary64 prod-exp_binary64
3×add-log-exp_binary64 unswap-sqr_binary64 *-commutative_binary64
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))))
9.0ms
(*.f64 (sqrt.f64 (sqrt.f64 2)) (fabs.f64 x))

series383.0ms (15.1%)

Counts
3 → 9
Calls

3 calls:

269.0ms
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 2)) (fabs.f64 x)) (sqrt.f64 (sqrt.f64 (sqrt.f64 2))))
63.0ms
(*.f64 (sqrt.f64 (sqrt.f64 2)) (fabs.f64 x))
51.0ms
(*.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)))))

simplify56.0ms (2.2%)

Algorithm
1×egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
052261347

prune107.0ms (4.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New91192
Fresh123
Picked101
Done022
Total93598

Merged error: 0b

Counts
98 → 5
Compiler

Compiled 1608 to 1385 computations (13.9% saved)

regimes18.0ms (0.7%)

Compiler

Compiled 65 to 62 computations (4.6% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01523
11523

end0.0ms (0%)

sample702.0ms (27.7%)

Algorithm
1×intervals
Results
444.0ms8000×body128valid
Compiler

Compiled 86 to 83 computations (3.5% saved)

Profiling

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