Details

Time bar (total: 3.7s)

analyze253.0ms (6.9%)

Algorithm
1×search
2×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07948
17948
033
133
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
Symmetry
Compiler

Compiled 11 to 11 computations (0% saved)

sample22.0ms (0.6%)

Algorithm
1×intervals
Results
9.0ms256×body128valid
1.0ms30×body128nan
0.0ms14×body128invalid
Compiler

Compiled 21 to 24 computations (-14.3% saved)

simplify8.0ms (0.2%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
02912
12912

prune8.0ms (0.2%)

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))

rewrite28.0ms (0.8%)

Algorithm
1×rewrite-expression-head
Error
0.0b
Rules
8×add-sqr-sqrt_binary64_4874
6×associate-*r*_binary64_4792
4×add-cube-cbrt_binary64_4887 *-un-lft-identity_binary64_4852 sqrt-prod_binary64_4868
3×pow1_binary64_4913 add-exp-log_binary64_4890 add-cbrt-cube_binary64_4888 associate-*l*_binary64_4793
2×unswap-sqr_binary64_4820
1×pow-prod-down_binary64_4923 prod-exp_binary64_4901 add-log-exp_binary64_4891 cbrt-unprod_binary64_4885 *-commutative_binary64_4783
Counts
1 → 22
Calls

1 calls:

5.0ms
(*.f64 y (sqrt.f64 z))
Compiler

Compiled 294 to 129 computations (56.1% saved)

series56.0ms (1.5%)

Error
0.1b
Counts
1 → 6
Calls

1 calls:

52.0ms
(*.f64 y (sqrt.f64 z))
Compiler

Compiled 167 to 139 computations (16.8% saved)

simplify53.0ms (1.4%)

Algorithm
1×egg-herbie
Counts
28 → 28
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
04980229
14980229

prune29.0ms (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)

localize10.0ms (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)

rewrite77.0ms (2.1%)

Algorithm
1×rewrite-expression-head
Error
0.0b
Rules
13×add-sqr-sqrt_binary64_4874
12×associate-*r*_binary64_4792
11×pow1_binary64_4913 add-exp-log_binary64_4890 add-cbrt-cube_binary64_4888 add-cube-cbrt_binary64_4887 *-un-lft-identity_binary64_4852
9×cbrt-prod_binary64_4883
6×sqrt-prod_binary64_4868
4×add-log-exp_binary64_4891 pow-prod-down_binary64_4923 prod-exp_binary64_4901 cbrt-unprod_binary64_4885 associate-*l*_binary64_4793
2×pow1/3_binary64_4934 *-commutative_binary64_4783
1×unswap-sqr_binary64_4820
Counts
4 → 64
Calls

4 calls:

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

Compiled 1202 to 418 computations (65.2% saved)

series435.0ms (11.8%)

Error
0.0b
Counts
4 → 18
Calls

4 calls:

220.0ms
(*.f64 (*.f64 y (fabs.f64 (cbrt.f64 z))) (sqrt.f64 (cbrt.f64 z)))
77.0ms
(cbrt.f64 z)
73.0ms
(cbrt.f64 z)
51.0ms
(*.f64 y (fabs.f64 (cbrt.f64 z)))
Compiler

Compiled 834 to 706 computations (15.3% saved)

simplify47.0ms (1.3%)

Algorithm
1×egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 0 (31.0ms)

IterNodesCost
05228905

prune75.0ms (2%)

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)

rewrite114.0ms (3.1%)

Algorithm
1×rewrite-expression-head
Error
0.0b
Rules
55×cbrt-prod_binary64_4883
43×add-sqr-sqrt_binary64_4874
26×sqrt-prod_binary64_4868
21×add-cube-cbrt_binary64_4887 *-un-lft-identity_binary64_4852
11×pow1_binary64_4913 swap-sqr_binary64_4819
9×pow1/3_binary64_4934 unswap-sqr_binary64_4820 associate-*l*_binary64_4793 associate-*r*_binary64_4792
6×add-exp-log_binary64_4890
4×add-log-exp_binary64_4891 add-cbrt-cube_binary64_4888
2×pow-prod-down_binary64_4923 pow-prod-up_binary64_4922 pow-sqr_binary64_4825
1×pow2_binary64_4933 pow-plus_binary64_4915 prod-exp_binary64_4901 cbrt-unprod_binary64_4885 *-commutative_binary64_4783
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:

73.0ms
(cbrt.f64 z)
59.0ms
(cbrt.f64 (sqrt.f64 z))
54.0ms
(*.f64 (cbrt.f64 (sqrt.f64 z)) (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 (30.0ms)

IterNodesCost
054731063

prune102.0ms (2.8%)

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)

localize14.0ms (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)

rewrite85.0ms (2.3%)

Algorithm
1×rewrite-expression-head
Error
0.0b
Rules
21×cbrt-prod_binary64_4883
18×sqrt-prod_binary64_4868
13×add-cube-cbrt_binary64_4887 add-sqr-sqrt_binary64_4874 *-un-lft-identity_binary64_4852
12×associate-*r*_binary64_4792
9×pow1_binary64_4913 add-exp-log_binary64_4890 add-cbrt-cube_binary64_4888
4×add-log-exp_binary64_4891
3×pow1/3_binary64_4934 pow-prod-down_binary64_4923 prod-exp_binary64_4901 cbrt-unprod_binary64_4885
1×associate-*l*_binary64_4793 *-commutative_binary64_4783
Counts
4 → 66
Calls

4 calls:

9.0ms
(*.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)

series367.0ms (10%)

Error
0.0b
Counts
4 → 15
Calls

4 calls:

171.0ms
(*.f64 (*.f64 (fabs.f64 (cbrt.f64 z)) y) (sqrt.f64 (cbrt.f64 (sqrt.f64 z))))
78.0ms
(cbrt.f64 z)
52.0ms
(cbrt.f64 (sqrt.f64 z))
52.0ms
(cbrt.f64 (sqrt.f64 z))
Compiler

Compiled 940 to 721 computations (23.3% saved)

simplify90.0ms (2.5%)

Algorithm
1×egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 0 (76.0ms)

IterNodesCost
04785950
14785950

prune72.0ms (2%)

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)

regimes322.0ms (8.8%)

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
01512
11512
Removed

()

end0.0ms (0%)

sample1.1s (29.7%)

Algorithm
1×intervals
Results
302.0ms8000×body128valid
38.0ms1062×body128nan
13.0ms359×body128invalid
Compiler

Compiled 458 to 325 computations (29% saved)

Profiling

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