Details

Time bar (total: 3.4s)

analyze393.0ms (11.6%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
50%50%0%2
50%50%0%3
62.5%37.5%0%4
68.7%31.2%0%5
71.8%28.1%0%6
73.4%26.5%0%7
74.2%25.8%0%8
74.6%25.4%0%9
74.8%25.2%0%10
74.9%25.1%0%11
74.9%25%0%12
74.9%25%0%13
75%25%0%14
Compiler

Compiled 11 to 8 computations (27.3% saved)

sample85.0ms (2.5%)

Algorithm
1×intervals
Results
37.0ms85×body1024valid
18.0ms44×body2048valid
8.0ms34×body512valid
4.0ms68×body128valid
3.0ms24×body256valid
1.0ms1×body4096valid
Compiler

Compiled 22 to 16 computations (27.3% saved)

simplify9.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
2×+-commutative_binary64
1×1-exp_binary64
1×hypot-1-def_binary64
1×fma-def_binary64
Counts
1 → 2
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0812
1139
2149
3139

prune6.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
48.0b
Counts
3 → 1
Alt Table
StatusErrorProgram
▶48.0b
(log.f64 (+.f64 x (hypot.f64 1 x)))
Compiler

Compiled 30 to 21 computations (30% saved)

localize4.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.6b
(+.f64 x (hypot.f64 1 x))
✓4.6b
(log.f64 (+.f64 x (hypot.f64 1 x)))

rewrite6.0ms (0.2%)

Algorithm
1×rewrite-expression-head
Rules
8×*-un-lft-identity_binary64
4×add-log-exp_binary64
4×add-sqr-sqrt_binary64
4×log-prod_binary64
4×add-cube-cbrt_binary64
Counts
2 → 34
Calls

2 calls:

2.0ms
(+.f64 x (hypot.f64 1 x))
2.0ms
(log.f64 (+.f64 x (hypot.f64 1 x)))

series18.0ms (0.5%)

Counts
2 → 24
Calls

2 calls:

9.0ms
(log.f64 (+.f64 x (hypot.f64 1 x)))
8.0ms
(+.f64 x (hypot.f64 1 x))

simplify87.0ms (2.6%)

Algorithm
1×egg-herbie
Rules
665×fma-neg_binary64
426×associate-/r*_binary64
386×cancel-sign-sub-inv_binary64
299×sub-neg_binary64
286×fma-def_binary64
Counts
58 → 87
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0125861
1334805
2827799
32288799
44460799
54998799
64887799

prune43.0ms (1.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New85287
Fresh000
Picked011
Done000
Total85388
Error
0b
Counts
88 → 3
Alt Table
StatusErrorProgram
▶27.5b
(fma.f64 (pow.f64 x 3) -1/6 x)
48.9b
(log.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x)))
✓48.0b
(log.f64 (+.f64 x (hypot.f64 1 x)))
Compiler

Compiled 1141 to 864 computations (24.3% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.1b
(fma.f64 (pow.f64 x 3) -1/6 x)

rewrite1.0ms (0%)

Algorithm
1×rewrite-expression-head
Rules
1×*-un-lft-identity_binary64
1×add-sqr-sqrt_binary64
1×add-cube-cbrt_binary64
1×add-cbrt-cube_binary64
1×add-exp-log_binary64
Counts
1 → 10
Calls

1 calls:

0.0ms
(fma.f64 (pow.f64 x 3) -1/6 x)

series11.0ms (0.3%)

Counts
1 → 12
Calls

1 calls:

11.0ms
(fma.f64 (pow.f64 x 3) -1/6 x)

simplify69.0ms (2%)

Algorithm
1×egg-herbie
Rules
435×neg-mul-1_binary64
394×associate-*l*_binary64
372×associate-*r*_binary64
317×distribute-rgt-out_binary64
261×exp-prod_binary64
Counts
22 → 34
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
020232
135197
287197
3323197
41659197
54536197
65201197

prune8.0ms (0.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New34034
Fresh011
Picked011
Done011
Total34337
Error
0b
Counts
37 → 3
Alt Table
StatusErrorProgram
✓27.5b
(fma.f64 (pow.f64 x 3) -1/6 x)
▶48.9b
(log.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x)))
✓48.0b
(log.f64 (+.f64 x (hypot.f64 1 x)))
Compiler

Compiled 184 to 137 computations (25.5% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.3b
(/.f64 1/8 (pow.f64 x 3))
✓11.2b
(log.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x)))

rewrite31.0ms (0.9%)

Algorithm
1×rewrite-expression-head
Rules
38×times-frac_binary64
34×*-un-lft-identity_binary64
28×add-sqr-sqrt_binary64
28×add-cube-cbrt_binary64
12×associate-/r*_binary64
Counts
2 → 86
Calls

2 calls:

24.0ms
(log.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x)))
4.0ms
(/.f64 1/8 (pow.f64 x 3))

series23.0ms (0.7%)

Counts
2 → 12
Calls

2 calls:

16.0ms
(/.f64 1/8 (pow.f64 x 3))
7.0ms
(log.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x)))

simplify82.0ms (2.4%)

Algorithm
1×egg-herbie
Rules
515×times-frac_binary64
330×fma-neg_binary64
315×cancel-sign-sub-inv_binary64
296×fma-def_binary64
283×associate-/l/_binary64
Counts
98 → 165
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01851602
13671540
212511499
346191499
450411499

prune58.0ms (1.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1650165
Fresh000
Picked011
Done022
Total1653168
Error
0b
Counts
168 → 3
Alt Table
StatusErrorProgram
✓27.5b
(fma.f64 (pow.f64 x 3) -1/6 x)
✓48.9b
(log.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x)))
✓48.0b
(log.f64 (+.f64 x (hypot.f64 1 x)))
Compiler

Compiled 2081 to 1643 computations (21% saved)

regimes58.0ms (1.7%)

Accuracy

Total 0.1b remaining (62.9%)

Threshold costs 0.1b (62.9%)

Compiler

Compiled 354 to 274 computations (22.6% saved)

bsearch38.0ms (1.1%)

Steps
ItersRangePoint
10
2.6461000272094406e-9
936907.3539613719
0.0007953424832501964
10
-49104.97967657783
-5.223940025561925e-8
-1.069935750990881
Compiler

Compiled 2 to 1 computations (50% saved)

simplify3.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
2×+-commutative_binary64
1×1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02344
12744
22644

end1.0ms (0%)

Compiler

Compiled 31 to 23 computations (25.8% saved)

sample2.3s (69.1%)

Algorithm
1×intervals
Results
1.0s2435×body1024valid
468.0ms1242×body2048valid
317.0ms1287×body512valid
135.0ms2343×body128valid
88.0ms638×body256valid
27.0ms55×body4096valid
Compiler

Compiled 68 to 51 computations (25% saved)

Profiling

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