Details

Time bar (total: 7.3s)

analyze19.0ms (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 7 computations (0% saved)

sample400.0ms (5.5%)

Algorithm
1×intervals
Results
389.0ms256×body128valid
Compiler

Compiled 13 to 14 computations (-7.7% saved)

simplify333.0ms (4.5%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (203.0ms)

IterNodesCost
047569
147569

prune4.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 29.3b

Counts
2 → 1
Compiler

Compiled 12 to 11 computations (8.3% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b
(*.f64 2 (pow.f64 x 2))
28.4b
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))

rewrite14.0ms (0.2%)

Algorithm
1×rewrite-expression-head
Rules
11×add-sqr-sqrt_binary64
8×associate-*r*_binary64
7×add-exp-log_binary64
5×*-un-lft-identity_binary64 add-cube-cbrt_binary64
4×add-cbrt-cube_binary64 unswap-sqr_binary64 unpow-prod-down_binary64
3×pow1_binary64 associate-*l*_binary64 prod-exp_binary64
2×add-log-exp_binary64 unpow2_binary64 sqr-pow_binary64
1×pow-to-exp_binary64 pow1/2_binary64 cbrt-unprod_binary64 sqrt-pow1_binary64 sqrt-prod_binary64 pow-exp_binary64 *-commutative_binary64
Counts
2 → 37
Calls

2 calls:

6.0ms
(*.f64 2 (pow.f64 x 2))
5.0ms
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))

series66.0ms (0.9%)

Counts
2 → 6
Calls

2 calls:

34.0ms
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
32.0ms
(*.f64 2 (pow.f64 x 2))

simplify59.0ms (0.8%)

Algorithm
1×egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
04987360
14987360

prune211.0ms (2.9%)

Pruning

19 alts after pruning (19 fresh and 0 done)

PrunedKeptTotal
New241943
Fresh000
Picked101
Done000
Total251944

Merged error: 0.2b

Counts
44 → 19
Compiler

Compiled 589 to 432 computations (26.7% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite6.0ms (0.1%)

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))

series28.0ms (0.4%)

Counts
1 → 3
Calls

1 calls:

28.0ms
(*.f64 (sqrt.f64 2) (fabs.f64 x))

simplify90.0ms (1.2%)

Algorithm
1×egg-herbie
Counts
25 → 25
Iterations

Useful iterations: 0 (80.0ms)

IterNodesCost
04863270
14863270

prune119.0ms (1.6%)

Pruning

27 alts after pruning (26 fresh and 1 done)

PrunedKeptTotal
New141125
Fresh31518
Picked011
Done000
Total172744

Merged error: 0.0b

Counts
44 → 27
Compiler

Compiled 536 to 409 computations (23.7% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.2b
(*.f64 (fabs.f64 x) (cbrt.f64 (sqrt.f64 2)))
0.3b
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))) (*.f64 (fabs.f64 x) (cbrt.f64 (sqrt.f64 2))))

rewrite21.0ms (0.3%)

Algorithm
1×rewrite-expression-head
Rules
16×pow1_binary64 add-exp-log_binary64
12×add-sqr-sqrt_binary64
10×associate-*r*_binary64
9×pow-prod-down_binary64 cbrt-unprod_binary64 add-cbrt-cube_binary64 prod-exp_binary64
8×cbrt-prod_binary64
6×*-un-lft-identity_binary64 add-cube-cbrt_binary64
4×associate-*l*_binary64 sqrt-prod_binary64
3×unswap-sqr_binary64
2×add-log-exp_binary64 *-commutative_binary64
Counts
2 → 48
Calls

2 calls:

12.0ms
(*.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)))

series176.0ms (2.4%)

Counts
2 → 6
Calls

2 calls:

131.0ms
(*.f64 (fabs.f64 x) (cbrt.f64 (sqrt.f64 2)))
45.0ms
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))) (*.f64 (fabs.f64 x) (cbrt.f64 (sqrt.f64 2))))

simplify84.0ms (1.1%)

Algorithm
1×egg-herbie
Counts
54 → 54
Iterations

Useful iterations: 0 (64.0ms)

IterNodesCost
05097624

prune286.0ms (3.9%)

Pruning

42 alts after pruning (40 fresh and 2 done)

PrunedKeptTotal
New391554
Fresh02525
Picked011
Done011
Total394281

Merged error: 0b

Counts
81 → 42
Compiler

Compiled 1373 to 1157 computations (15.7% saved)

localize18.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.1b
(*.f64 (pow.f64 (sqrt.f64 2) 2/3) (fabs.f64 x))
0.3b
(*.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2/3) (fabs.f64 x)) (cbrt.f64 (sqrt.f64 2)))

rewrite25.0ms (0.3%)

Algorithm
1×rewrite-expression-head
Rules
17×add-exp-log_binary64
16×add-sqr-sqrt_binary64
12×associate-*r*_binary64
11×associate-*l*_binary64
10×prod-exp_binary64
9×*-un-lft-identity_binary64 add-cube-cbrt_binary64
8×unpow-prod-down_binary64
7×add-cbrt-cube_binary64 sqrt-prod_binary64
6×cbrt-prod_binary64
4×pow1_binary64 cbrt-unprod_binary64 unswap-sqr_binary64
2×pow-to-exp_binary64 add-log-exp_binary64 sqr-pow_binary64 pow-exp_binary64 *-commutative_binary64
1×pow-prod-down_binary64
Counts
2 → 54
Calls

2 calls:

15.0ms
(*.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2/3) (fabs.f64 x)) (cbrt.f64 (sqrt.f64 2)))
6.0ms
(*.f64 (pow.f64 (sqrt.f64 2) 2/3) (fabs.f64 x))

series195.0ms (2.7%)

Counts
2 → 6
Calls

2 calls:

161.0ms
(*.f64 (pow.f64 (sqrt.f64 2) 2/3) (fabs.f64 x))
34.0ms
(*.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2/3) (fabs.f64 x)) (cbrt.f64 (sqrt.f64 2)))

simplify118.0ms (1.6%)

Algorithm
1×egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 0 (97.0ms)

IterNodesCost
04956789
14956789

prune397.0ms (5.4%)

Pruning

63 alts after pruning (60 fresh and 3 done)

PrunedKeptTotal
New372360
Fresh23739
Picked011
Done022
Total3963102

Merged error: 0b

Counts
102 → 63
Compiler

Compiled 823 to 668 computations (18.8% saved)

regimes870.0ms (11.9%)

Compiler

Compiled 5908 to 5476 computations (7.3% saved)

bsearch557.0ms (7.6%)

simplify8.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01518
11518

end0.0ms (0%)

sample3.2s (43.7%)

Algorithm
1×intervals
Results
360.0ms8000×body128valid
Compiler

Compiled 1465 to 1358 computations (7.3% saved)

Pareto

0

Profiling

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