Details

Time bar (total: 2.1s)

analyze208.0ms (9.8%)

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)

sample22.0ms (1%)

Algorithm
1×intervals
Results
14.0ms256×body128valid
Compiler

Compiled 17 to 16 computations (5.9% saved)

simplify306.0ms (14.5%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (131.0ms)

IterNodesCost
047219
147219

prune6.0ms (0.3%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 31.3b

Counts
2 → 1
Compiler

Compiled 12 to 10 computations (16.7% saved)

localize13.0ms (0.6%)

Local error

Found 2 expressions with local error:

0.0b
(*.f64 2 (*.f64 x x))
30.2b
(sqrt.f64 (*.f64 2 (*.f64 x x)))

rewrite16.0ms (0.7%)

Algorithm
1×rewrite-expression-head
Rules
13×pow1_binary64
7×add-exp-log_binary64 add-cbrt-cube_binary64
6×pow-prod-down_binary64
4×add-sqr-sqrt_binary64
3×*-un-lft-identity_binary64 cbrt-unprod_binary64 add-cube-cbrt_binary64 associate-*l*_binary64 sqrt-pow1_binary64 prod-exp_binary64
2×add-log-exp_binary64
1×pow1/2_binary64 associate-*r*_binary64 unswap-sqr_binary64 sqrt-prod_binary64 *-commutative_binary64
Counts
2 → 31
Calls

2 calls:

7.0ms
(sqrt.f64 (*.f64 2 (*.f64 x x)))
6.0ms
(*.f64 2 (*.f64 x x))

series99.0ms (4.7%)

Counts
2 → 6
Calls

2 calls:

62.0ms
(sqrt.f64 (*.f64 2 (*.f64 x x)))
37.0ms
(*.f64 2 (*.f64 x x))

simplify67.0ms (3.2%)

Algorithm
1×egg-herbie
Counts
37 → 37
Iterations

Useful iterations: 0 (58.0ms)

IterNodesCost
04979300
14979300

prune37.0ms (1.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New32537
Fresh000
Picked011
Done000
Total32638

Merged error: 0.2b

Counts
38 → 6
Compiler

Compiled 389 to 259 computations (33.4% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite7.0ms (0.3%)

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))

series48.0ms (2.3%)

Counts
1 → 3
Calls

1 calls:

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

simplify58.0ms (2.8%)

Algorithm
1×egg-herbie
Counts
25 → 25
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
04869270
14869270

prune30.0ms (1.4%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New21425
Fresh314
Picked011
Done011
Total24731

Merged error: 0b

Counts
31 → 7
Compiler

Compiled 308 to 220 computations (28.6% saved)

localize6.0ms (0.3%)

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))))

rewrite22.0ms (1%)

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:

11.0ms
(*.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)))

series110.0ms (5.2%)

Counts
2 → 6
Calls

2 calls:

66.0ms
(*.f64 (fabs.f64 x) (sqrt.f64 (sqrt.f64 2)))
45.0ms
(*.f64 (sqrt.f64 (sqrt.f64 2)) (*.f64 (fabs.f64 x) (sqrt.f64 (sqrt.f64 2))))

simplify62.0ms (2.9%)

Algorithm
1×egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
05154685

prune51.0ms (2.4%)

Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New56056
Fresh044
Picked011
Done022
Total56763

Merged error: 0b

Counts
63 → 7
Compiler

Compiled 780 to 620 computations (20.5% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.3b
(*.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (fabs.f64 x))) (sqrt.f64 (fabs.f64 x)))
0.5b
(*.f64 (sqrt.f64 2) (sqrt.f64 (fabs.f64 x)))

rewrite23.0ms (1.1%)

Algorithm
1×rewrite-expression-head
Rules
16×add-sqr-sqrt_binary64
14×pow1_binary64
13×sqrt-prod_binary64
12×associate-*r*_binary64
10×pow-prod-down_binary64
9×add-exp-log_binary64 add-cbrt-cube_binary64
8×*-un-lft-identity_binary64 add-cube-cbrt_binary64
7×associate-*l*_binary64
5×pow1/2_binary64 sqrt-pow1_binary64
4×cbrt-unprod_binary64 unswap-sqr_binary64 prod-exp_binary64
3×sqrt-unprod_binary64
2×add-log-exp_binary64 *-commutative_binary64
Counts
2 → 54
Calls

2 calls:

10.0ms
(*.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (fabs.f64 x))) (sqrt.f64 (fabs.f64 x)))
9.0ms
(*.f64 (sqrt.f64 2) (sqrt.f64 (fabs.f64 x)))

series107.0ms (5.1%)

Counts
2 → 6
Calls

2 calls:

65.0ms
(*.f64 (sqrt.f64 2) (sqrt.f64 (fabs.f64 x)))
42.0ms
(*.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (fabs.f64 x))) (sqrt.f64 (fabs.f64 x)))

simplify70.0ms (3.3%)

Algorithm
1×egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 0 (58.0ms)

IterNodesCost
05053719

prune45.0ms (2.1%)

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New58260
Fresh213
Picked101
Done033
Total61667

Merged error: 0b

Counts
67 → 6
Compiler

Compiled 744 to 385 computations (48.3% saved)

regimes15.0ms (0.7%)

Compiler

Compiled 60 to 51 computations (15% saved)

bsearch0.0ms (0%)

simplify5.0ms (0.2%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01015
11015

end0.0ms (0%)

sample671.0ms (31.8%)

Algorithm
1×intervals
Results
432.0ms8000×body128valid
Compiler

Compiled 76 to 65 computations (14.5% saved)

Profiling

Loading profile data...