Details

Time bar (total: 3.7s)

analyze171.0ms (4.6%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
25%74.9%0.1%6
34.3%40.6%25.1%7
35.9%39%25.1%8
42.1%32.8%25.1%9
42.9%19.5%37.6%10
43.3%19.1%37.6%11
45%17.5%37.6%12
45.1%10.3%44.6%13
45.2%10.2%44.6%14
Compiler

Compiled 11 to 11 computations (0% saved)

sample23.0ms (0.6%)

Algorithm
1×intervals
Results
10.0ms256×body128valid
1.0ms30×body128nan
1.0ms14×body128invalid
Compiler

Compiled 21 to 24 computations (-14.3% saved)

simplify93.0ms (2.5%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
02912
12912

prune4.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112
Error
0.1b
Counts
2 → 1
Compiler

Compiled 16 to 16 computations (0% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.2b
(*.f64 y (sqrt.f64 z))

rewrite30.0ms (0.8%)

Algorithm
1×rewrite-expression-head
Error
0.0b
Rules
8×add-sqr-sqrt_binary64_6579
6×associate-*r*_binary64_6497
4×add-cube-cbrt_binary64_6592 *-un-lft-identity_binary64_6557 sqrt-prod_binary64_6573
3×pow1_binary64_6618 add-exp-log_binary64_6595 add-cbrt-cube_binary64_6593 associate-*l*_binary64_6498
2×unswap-sqr_binary64_6525
1×pow-prod-down_binary64_6628 prod-exp_binary64_6606 add-log-exp_binary64_6596 cbrt-unprod_binary64_6590 *-commutative_binary64_6488
Counts
1 → 22
Calls

1 calls:

6.0ms
(*.f64 y (sqrt.f64 z))
Compiler

Compiled 294 to 129 computations (56.1% saved)

series54.0ms (1.5%)

Error
0.1b
Counts
1 → 6
Calls

1 calls:

51.0ms
(*.f64 y (sqrt.f64 z))
Compiler

Compiled 167 to 139 computations (16.8% saved)

simplify51.0ms (1.4%)

Algorithm
1×egg-herbie
Counts
28 → 28
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
04980229
14980229

prune31.0ms (0.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New22628
Fresh000
Picked011
Done000
Total22729
Error
0.0b
Counts
29 → 7
Compiler

Compiled 401 to 195 computations (51.4% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b
(*.f64 y (fabs.f64 (cbrt.f64 z)))
0.3b
(*.f64 (*.f64 y (fabs.f64 (cbrt.f64 z))) (sqrt.f64 (cbrt.f64 z)))
0.6b
(cbrt.f64 z)
0.6b
(cbrt.f64 z)

rewrite73.0ms (2%)

Algorithm
1×rewrite-expression-head
Error
0.0b
Rules
13×add-sqr-sqrt_binary64_6579
12×associate-*r*_binary64_6497
11×pow1_binary64_6618 add-exp-log_binary64_6595 add-cbrt-cube_binary64_6593 add-cube-cbrt_binary64_6592 *-un-lft-identity_binary64_6557
9×cbrt-prod_binary64_6588
6×sqrt-prod_binary64_6573
4×add-log-exp_binary64_6596 pow-prod-down_binary64_6628 prod-exp_binary64_6606 cbrt-unprod_binary64_6590 associate-*l*_binary64_6498
2×pow1/3_binary64_6639 *-commutative_binary64_6488
1×unswap-sqr_binary64_6525
Counts
4 → 64
Calls

4 calls:

7.0ms
(*.f64 (*.f64 y (fabs.f64 (cbrt.f64 z))) (sqrt.f64 (cbrt.f64 z)))
4.0ms
(*.f64 y (fabs.f64 (cbrt.f64 z)))
1.0ms
(cbrt.f64 z)
1.0ms
(cbrt.f64 z)
Compiler

Compiled 1202 to 418 computations (65.2% saved)

series440.0ms (11.9%)

Error
0.0b
Counts
4 → 18
Calls

4 calls:

211.0ms
(*.f64 (*.f64 y (fabs.f64 (cbrt.f64 z))) (sqrt.f64 (cbrt.f64 z)))
82.0ms
(cbrt.f64 z)
77.0ms
(cbrt.f64 z)
55.0ms
(*.f64 y (fabs.f64 (cbrt.f64 z)))
Compiler

Compiled 834 to 706 computations (15.3% saved)

simplify41.0ms (1.1%)

Algorithm
1×egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 0 (27.0ms)

IterNodesCost
05228905

prune78.0ms (2.1%)

Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New78482
Fresh235
Picked011
Done011
Total80989
Error
0.0b
Counts
89 → 9
Compiler

Compiled 1480 to 569 computations (61.6% saved)

localize13.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.5b
(*.f64 (cbrt.f64 (sqrt.f64 z)) (cbrt.f64 (sqrt.f64 z)))
0.6b
(cbrt.f64 (sqrt.f64 z))
0.6b
(cbrt.f64 (sqrt.f64 z))
0.6b
(cbrt.f64 z)

rewrite107.0ms (2.9%)

Algorithm
1×rewrite-expression-head
Error
0.0b
Rules
55×cbrt-prod_binary64_6588
43×add-sqr-sqrt_binary64_6579
26×sqrt-prod_binary64_6573
21×add-cube-cbrt_binary64_6592 *-un-lft-identity_binary64_6557
11×pow1_binary64_6618 swap-sqr_binary64_6524
9×pow1/3_binary64_6639 unswap-sqr_binary64_6525 associate-*l*_binary64_6498 associate-*r*_binary64_6497
6×add-exp-log_binary64_6595
4×add-log-exp_binary64_6596 add-cbrt-cube_binary64_6593
2×pow-prod-down_binary64_6628 pow-prod-up_binary64_6627 pow-sqr_binary64_6530
1×pow2_binary64_6638 pow-plus_binary64_6620 prod-exp_binary64_6606 cbrt-unprod_binary64_6590 *-commutative_binary64_6488
Counts
4 → 95
Calls

4 calls:

9.0ms
(*.f64 (cbrt.f64 (sqrt.f64 z)) (cbrt.f64 (sqrt.f64 z)))
2.0ms
(cbrt.f64 (sqrt.f64 z))
2.0ms
(cbrt.f64 (sqrt.f64 z))
1.0ms
(cbrt.f64 z)
Compiler

Compiled 2316 to 662 computations (71.4% saved)

series248.0ms (6.7%)

Error
0.0b
Counts
4 → 12
Calls

4 calls:

72.0ms
(cbrt.f64 z)
57.0ms
(*.f64 (cbrt.f64 (sqrt.f64 z)) (cbrt.f64 (sqrt.f64 z)))
56.0ms
(cbrt.f64 (sqrt.f64 z))
52.0ms
(cbrt.f64 (sqrt.f64 z))
Compiler

Compiled 678 to 521 computations (23.2% saved)

simplify50.0ms (1.4%)

Algorithm
1×egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 0 (31.0ms)

IterNodesCost
054731063

prune100.0ms (2.7%)

Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New1070107
Fresh066
Picked011
Done022
Total1079116
Error
0.0b
Counts
116 → 9
Compiler

Compiled 2363 to 748 computations (68.3% saved)

localize13.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.3b
(*.f64 (*.f64 (fabs.f64 (cbrt.f64 z)) y) (sqrt.f64 (cbrt.f64 (sqrt.f64 z))))
0.6b
(cbrt.f64 (sqrt.f64 z))
0.6b
(cbrt.f64 (sqrt.f64 z))
0.6b
(cbrt.f64 z)

rewrite80.0ms (2.2%)

Algorithm
1×rewrite-expression-head
Error
0.0b
Rules
21×cbrt-prod_binary64_6588
18×sqrt-prod_binary64_6573
13×add-cube-cbrt_binary64_6592 add-sqr-sqrt_binary64_6579 *-un-lft-identity_binary64_6557
12×associate-*r*_binary64_6497
9×pow1_binary64_6618 add-exp-log_binary64_6595 add-cbrt-cube_binary64_6593
4×add-log-exp_binary64_6596
3×pow1/3_binary64_6639 pow-prod-down_binary64_6628 prod-exp_binary64_6606 cbrt-unprod_binary64_6590
1×associate-*l*_binary64_6498 *-commutative_binary64_6488
Counts
4 → 66
Calls

4 calls:

8.0ms
(*.f64 (*.f64 (fabs.f64 (cbrt.f64 z)) y) (sqrt.f64 (cbrt.f64 (sqrt.f64 z))))
2.0ms
(cbrt.f64 (sqrt.f64 z))
2.0ms
(cbrt.f64 (sqrt.f64 z))
1.0ms
(cbrt.f64 z)
Compiler

Compiled 1660 to 482 computations (71% saved)

series366.0ms (9.9%)

Error
0.0b
Counts
4 → 15
Calls

4 calls:

175.0ms
(*.f64 (*.f64 (fabs.f64 (cbrt.f64 z)) y) (sqrt.f64 (cbrt.f64 (sqrt.f64 z))))
77.0ms
(cbrt.f64 z)
50.0ms
(cbrt.f64 (sqrt.f64 z))
49.0ms
(cbrt.f64 (sqrt.f64 z))
Compiler

Compiled 940 to 721 computations (23.3% saved)

simplify93.0ms (2.5%)

Algorithm
1×egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 0 (78.0ms)

IterNodesCost
04785950
14785950

prune72.0ms (1.9%)

Pruning

9 alts after pruning (5 fresh and 4 done)

PrunedKeptTotal
New81081
Fresh055
Picked011
Done033
Total81990
Error
0.0b
Counts
90 → 9
Compiler

Compiled 1830 to 551 computations (69.9% saved)

regimes343.0ms (9.3%)

Accuracy

Total 0.1b remaining (71.2%)

Threshold costs 0.1b (71.2%)

Compiler

Compiled 3123 to 2189 computations (29.9% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01212
11212

end0.0ms (0%)

sample1.1s (29.8%)

Algorithm
1×intervals
Results
324.0ms8000×body128valid
37.0ms1062×body128nan
14.0ms359×body128invalid
Compiler

Compiled 458 to 325 computations (29% saved)

Profiling

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