Details

Time bar (total: 2.4s)

analyze198.0ms (8.1%)

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)

sample17.0ms (0.7%)

Algorithm
1×intervals
Results
10.0ms256×body128valid
Compiler

Compiled 13 to 14 computations (-7.7% saved)

simplify314.0ms (12.8%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (136.0ms)

IterNodesCost
047199
147199

prune4.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 30.1b

Counts
2 → 1
Compiler

Compiled 12 to 11 computations (8.3% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b
(*.f64 2 (pow.f64 x 2))
29.1b
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))

rewrite23.0ms (1%)

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:

13.0ms
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
7.0ms
(*.f64 2 (pow.f64 x 2))

series103.0ms (4.2%)

Counts
2 → 6
Calls

2 calls:

61.0ms
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
42.0ms
(*.f64 2 (pow.f64 x 2))

simplify67.0ms (2.7%)

Algorithm
1×egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
05188368

prune71.0ms (2.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New40343
Fresh000
Picked011
Done000
Total40444

Merged error: 0.2b

Counts
44 → 4
Compiler

Compiled 813 to 609 computations (25.1% 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:

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

series51.0ms (2.1%)

Counts
1 → 3
Calls

1 calls:

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

simplify70.0ms (2.9%)

Algorithm
1×egg-herbie
Counts
25 → 25
Iterations

Useful iterations: 0 (62.0ms)

IterNodesCost
04861270
14861270

prune63.0ms (2.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New22325
Fresh112
Picked011
Done011
Total23629

Merged error: 0.0b

Counts
29 → 6
Compiler

Compiled 790 to 624 computations (21% saved)

localize7.0ms (0.3%)

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))))

rewrite25.0ms (1%)

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:

13.0ms
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))) (*.f64 (fabs.f64 x) (cbrt.f64 (sqrt.f64 2))))
7.0ms
(*.f64 (fabs.f64 x) (cbrt.f64 (sqrt.f64 2)))

series246.0ms (10%)

Counts
2 → 6
Calls

2 calls:

193.0ms
(*.f64 (fabs.f64 x) (cbrt.f64 (sqrt.f64 2)))
53.0ms
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))) (*.f64 (fabs.f64 x) (cbrt.f64 (sqrt.f64 2))))

simplify69.0ms (2.8%)

Algorithm
1×egg-herbie
Counts
54 → 54
Iterations

Useful iterations: 0 (58.0ms)

IterNodesCost
05097624

prune60.0ms (2.4%)

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New53154
Fresh123
Picked011
Done022
Total54660

Merged error: 0b

Counts
60 → 6
Compiler

Compiled 879 to 727 computations (17.3% saved)

localize14.0ms (0.6%)

Local error

Found 2 expressions with local error:

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

rewrite21.0ms (0.9%)

Algorithm
1×rewrite-expression-head
Rules
19×associate-*l*_binary64
17×add-exp-log_binary64
16×add-sqr-sqrt_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 associate-*r*_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:

10.0ms
(*.f64 (cbrt.f64 (sqrt.f64 2)) (*.f64 (pow.f64 (sqrt.f64 2) 2/3) (fabs.f64 x)))
7.0ms
(*.f64 (pow.f64 (sqrt.f64 2) 2/3) (fabs.f64 x))

series273.0ms (11.2%)

Counts
2 → 6
Calls

2 calls:

222.0ms
(*.f64 (pow.f64 (sqrt.f64 2) 2/3) (fabs.f64 x))
51.0ms
(*.f64 (cbrt.f64 (sqrt.f64 2)) (*.f64 (pow.f64 (sqrt.f64 2) 2/3) (fabs.f64 x)))

simplify70.0ms (2.8%)

Algorithm
1×egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
04987755
14987755

prune54.0ms (2.2%)

Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New60060
Fresh022
Picked011
Done033
Total60666

Merged error: 0b

Counts
66 → 6
Compiler

Compiled 809 to 654 computations (19.2% saved)

regimes54.0ms (2.2%)

Compiler

Compiled 254 to 242 computations (4.7% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01124
11124

end0.0ms (0%)

sample553.0ms (22.6%)

Algorithm
1×intervals
Results
298.0ms8000×body128valid
Compiler

Compiled 77 to 75 computations (2.6% saved)

Profiling

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