Details

Time bar (total: 3.0s)

analyze246.0ms (8.1%)

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
0%99.9%0.1%6
12.5%87.4%0.1%7
31.2%68.6%0.1%8
39%57.7%3.3%9
47.6%46%6.4%10
58.1%35.5%6.4%11
62.2%29.1%8.7%12
66.2%22.7%11.1%13
71.3%17.6%11.1%14
Compiler

Compiled 8 to 8 computations (0% saved)

sample14.0ms (0.5%)

Algorithm
1×intervals
Results
6.0ms256×body128valid
0.0ms20×body128invalid
Compiler

Compiled 15 to 18 computations (-20% saved)

simplify108.0ms (3.6%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (13.0ms)

IterNodesCost
024110
124110

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
2.8b
Counts
2 → 1
Compiler

Compiled 14 to 14 computations (0% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

2.7b
(*.f64 x (-.f64 1 (*.f64 y z)))

rewrite8.0ms (0.3%)

Algorithm
1×rewrite-expression-head
Rules
5×add-sqr-sqrt_binary64_7943
3×associate-*r*_binary64_7861 add-cube-cbrt_binary64_7956 add-cbrt-cube_binary64_7957 associate-*l*_binary64_7862 pow1_binary64_7982 add-exp-log_binary64_7959 *-un-lft-identity_binary64_7921
2×distribute-lft-in_binary64_7870 cancel-sign-sub-inv_binary64_7887 distribute-rgt-in_binary64_7871 sub-neg_binary64_7914 associate-*r/_binary64_7863
1×flip3--_binary64_7925 add-log-exp_binary64_7960 unswap-sqr_binary64_7889 prod-exp_binary64_7970 cbrt-unprod_binary64_7954 *-commutative_binary64_7852 flip--_binary64_7896 pow-prod-down_binary64_7992
Counts
1 → 24
Calls

1 calls:

7.0ms
(*.f64 x (-.f64 1 (*.f64 y z)))

series46.0ms (1.5%)

Counts
1 → 3
Calls

1 calls:

46.0ms
(*.f64 x (-.f64 1 (*.f64 y z)))

simplify61.0ms (2%)

Algorithm
1×egg-herbie
Counts
27 → 27
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
04868322
14868322

prune29.0ms (0.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New21627
Fresh000
Picked011
Done000
Total21728
Error
2.7b
Counts
28 → 7
Compiler

Compiled 398 to 216 computations (45.7% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b
(cbrt.f64 (*.f64 x (-.f64 1 (*.f64 y z))))
2.7b
(*.f64 x (-.f64 1 (*.f64 y z)))
2.7b
(*.f64 x (-.f64 1 (*.f64 y z)))
2.7b
(*.f64 x (-.f64 1 (*.f64 y z)))

rewrite32.0ms (1.1%)

Algorithm
1×rewrite-expression-head
Rules
16×add-sqr-sqrt_binary64_7943
10×add-cube-cbrt_binary64_7956 add-cbrt-cube_binary64_7957 pow1_binary64_7982 add-exp-log_binary64_7959 *-un-lft-identity_binary64_7921
9×associate-*r*_binary64_7861 associate-*l*_binary64_7862
8×associate-*r/_binary64_7863
6×distribute-lft-in_binary64_7870 cancel-sign-sub-inv_binary64_7887 distribute-rgt-in_binary64_7871 sub-neg_binary64_7914
4×flip3--_binary64_7925 add-log-exp_binary64_7960 flip--_binary64_7896
3×unswap-sqr_binary64_7889 prod-exp_binary64_7970 cbrt-unprod_binary64_7954 *-commutative_binary64_7852 pow-prod-down_binary64_7992
2×cbrt-div_binary64_7953
1×pow1/3_binary64_8003 cbrt-prod_binary64_7952
Counts
4 → 83
Calls

4 calls:

7.0ms
(*.f64 x (-.f64 1 (*.f64 y z)))
6.0ms
(*.f64 x (-.f64 1 (*.f64 y z)))
6.0ms
(*.f64 x (-.f64 1 (*.f64 y z)))
4.0ms
(cbrt.f64 (*.f64 x (-.f64 1 (*.f64 y z))))

series265.0ms (8.8%)

Counts
4 → 12
Calls

4 calls:

127.0ms
(cbrt.f64 (*.f64 x (-.f64 1 (*.f64 y z))))
50.0ms
(*.f64 x (-.f64 1 (*.f64 y z)))
45.0ms
(*.f64 x (-.f64 1 (*.f64 y z)))
43.0ms
(*.f64 x (-.f64 1 (*.f64 y z)))

simplify65.0ms (2.2%)

Algorithm
1×egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
051021159

prune129.0ms (4.3%)

Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New91495
Fresh055
Picked101
Done011
Total9210102
Error
2.7b
Counts
102 → 10
Compiler

Compiled 3098 to 1685 computations (45.6% saved)

localize15.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.5b
(cbrt.f64 x)
2.7b
(*.f64 x (-.f64 1 (*.f64 y z)))
2.7b
(*.f64 x (-.f64 1 (*.f64 y z)))
2.8b
(cbrt.f64 (-.f64 1 (*.f64 y z)))

rewrite25.0ms (0.8%)

Algorithm
1×rewrite-expression-head
Rules
14×add-sqr-sqrt_binary64_7943
10×add-cube-cbrt_binary64_7956 *-un-lft-identity_binary64_7921
8×add-cbrt-cube_binary64_7957 pow1_binary64_7982 add-exp-log_binary64_7959
6×associate-*r*_binary64_7861 associate-*l*_binary64_7862 cbrt-prod_binary64_7952
4×distribute-lft-in_binary64_7870 add-log-exp_binary64_7960 cancel-sign-sub-inv_binary64_7887 distribute-rgt-in_binary64_7871 sub-neg_binary64_7914 associate-*r/_binary64_7863
3×flip3--_binary64_7925 flip--_binary64_7896
2×unswap-sqr_binary64_7889 prod-exp_binary64_7970 cbrt-unprod_binary64_7954 pow1/3_binary64_8003 *-commutative_binary64_7852 cbrt-div_binary64_7953 pow-prod-down_binary64_7992
Counts
4 → 72
Calls

4 calls:

6.0ms
(*.f64 x (-.f64 1 (*.f64 y z)))
6.0ms
(*.f64 x (-.f64 1 (*.f64 y z)))
3.0ms
(cbrt.f64 (-.f64 1 (*.f64 y z)))
1.0ms
(cbrt.f64 x)

series316.0ms (10.4%)

Counts
4 → 12
Calls

4 calls:

148.0ms
(cbrt.f64 (-.f64 1 (*.f64 y z)))
78.0ms
(cbrt.f64 x)
45.0ms
(*.f64 x (-.f64 1 (*.f64 y z)))
44.0ms
(*.f64 x (-.f64 1 (*.f64 y z)))

simplify76.0ms (2.5%)

Algorithm
1×egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 0 (58.0ms)

IterNodesCost
051531005

prune118.0ms (3.9%)

Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New84084
Fresh088
Picked011
Done011
Total841094
Error
2.7b
Counts
94 → 10
Compiler

Compiled 2855 to 1524 computations (46.6% saved)

localize13.0ms (0.4%)

Local error

Found 4 expressions with local error:

2.7b
(*.f64 x (-.f64 1 (*.f64 y z)))
2.7b
(*.f64 x (-.f64 1 (*.f64 y z)))
2.7b
(*.f64 x (-.f64 1 (*.f64 y z)))
2.7b
(*.f64 x (-.f64 1 (*.f64 y z)))

rewrite41.0ms (1.3%)

Algorithm
1×rewrite-expression-head
Rules
20×add-sqr-sqrt_binary64_7943
12×associate-*r*_binary64_7861 add-cube-cbrt_binary64_7956 add-cbrt-cube_binary64_7957 associate-*l*_binary64_7862 pow1_binary64_7982 add-exp-log_binary64_7959 *-un-lft-identity_binary64_7921
8×distribute-lft-in_binary64_7870 cancel-sign-sub-inv_binary64_7887 distribute-rgt-in_binary64_7871 sub-neg_binary64_7914 associate-*r/_binary64_7863
4×flip3--_binary64_7925 add-log-exp_binary64_7960 unswap-sqr_binary64_7889 prod-exp_binary64_7970 cbrt-unprod_binary64_7954 *-commutative_binary64_7852 flip--_binary64_7896 pow-prod-down_binary64_7992
Counts
4 → 96
Calls

4 calls:

7.0ms
(*.f64 x (-.f64 1 (*.f64 y z)))
7.0ms
(*.f64 x (-.f64 1 (*.f64 y z)))
6.0ms
(*.f64 x (-.f64 1 (*.f64 y z)))
6.0ms
(*.f64 x (-.f64 1 (*.f64 y z)))

series177.0ms (5.8%)

Counts
4 → 12
Calls

4 calls:

47.0ms
(*.f64 x (-.f64 1 (*.f64 y z)))
45.0ms
(*.f64 x (-.f64 1 (*.f64 y z)))
44.0ms
(*.f64 x (-.f64 1 (*.f64 y z)))
41.0ms
(*.f64 x (-.f64 1 (*.f64 y z)))

simplify71.0ms (2.3%)

Algorithm
1×egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
048681288
148681288

prune232.0ms (7.7%)

Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New1080108
Fresh077
Picked011
Done022
Total10810118
Error
2.7b
Counts
118 → 10
Compiler

Compiled 5568 to 3123 computations (43.9% saved)

regimes194.0ms (6.4%)

Accuracy

Total 0.1b remaining (4.6%)

Threshold costs 0.1b (4.6%)

Compiler

Compiled 2346 to 1678 computations (28.5% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03610
13610

end0.0ms (0%)

sample731.0ms (24.1%)

Algorithm
1×intervals
Results
208.0ms8000×body128valid
13.0ms524×body128invalid
Compiler

Compiled 400 to 289 computations (27.8% saved)

Profiling

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