Details

Time bar (total: 6.3s)

analyze1.4s (23%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
25%74.9%0.1%3
25%74.9%0.1%4
25%74.9%0.1%5
31.2%68.6%0.1%6
32.8%67.1%0.1%7
34.3%65.5%0.1%8
38.2%61.2%0.5%9
39.6%53%7.4%10
40.3%52.4%7.4%11
41.6%49.6%8.8%12
42%39.9%18.1%13
42.3%39.6%18.2%14
Compiler

Compiled 19 to 13 computations (31.6% saved)

sample50.0ms (0.8%)

Algorithm
intervals
Results
19.0ms256×body128valid
9.0ms92×body128invalid
4.0ms75×body128nan
Compiler

Compiled 40 to 28 computations (30% saved)

simplify121.0ms (1.9%)

Algorithm
egg-herbie
Rules
614×*-commutative_binary64
613×associate-*l*_binary64
526×sqr-pow_binary64
394×associate-*r/_binary64
380×cube-prod_binary64
Counts
1 → 1
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01322
12718
25517
310417
422517
559117
6177417
7246617
8253417
9269217
10290817
11316617
12365617
13449717
14501917

prune3.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112
Error
2.3b
Counts
2 → 1
Alt Table
StatusErrorProgram
2.3b
(/.f64 (*.f64 a (pow.f64 k m)) (+.f64 (+.f64 1 (*.f64 10 k)) (*.f64 k k)))
Compiler

Compiled 51 to 34 computations (33.3% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b
(+.f64 1 (*.f64 10 k))
0.0b
(+.f64 (+.f64 1 (*.f64 10 k)) (*.f64 k k))
0.0b
(*.f64 a (pow.f64 k m))
2.3b
(/.f64 (*.f64 a (pow.f64 k m)) (+.f64 (+.f64 1 (*.f64 10 k)) (*.f64 k k)))

rewrite232.0ms (3.7%)

Algorithm
rewrite-expression-head
Error
2.3b
Rules
30×add-cube-cbrt_binary64
20×add-sqr-sqrt_binary64
18×add-log-exp_binary64
18×add-cbrt-cube_binary64
17×pow1_binary64
Counts
4 → 167
Calls

4 calls:

20.0ms
(/.f64 (*.f64 a (pow.f64 k m)) (+.f64 (+.f64 1 (*.f64 10 k)) (*.f64 k k)))
18.0ms
(+.f64 1 (*.f64 10 k))
16.0ms
(+.f64 (+.f64 1 (*.f64 10 k)) (*.f64 k k))
13.0ms
(*.f64 a (pow.f64 k m))
Compiler

Compiled 3365 to 1719 computations (48.9% saved)

series118.0ms (1.9%)

Error
2.3b
Counts
4 → 40
Calls

4 calls:

49.0ms
(/.f64 (*.f64 a (pow.f64 k m)) (+.f64 (+.f64 1 (*.f64 10 k)) (*.f64 k k)))
29.0ms
(*.f64 a (pow.f64 k m))
13.0ms
(+.f64 (+.f64 1 (*.f64 10 k)) (*.f64 k k))
6.0ms
(+.f64 1 (*.f64 10 k))
Compiler

Compiled 1907 to 1235 computations (35.2% saved)

simplify145.0ms (2.3%)

Algorithm
egg-herbie
Rules
656×fma-neg_binary64
385×unswap-sqr_binary64
355×cancel-sign-sub-inv_binary64
256×distribute-rgt-neg-in_binary64
225×associate-*r*_binary64
Counts
207 → 132
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02322858
16002546
225102492
345072474
449632474
550632474

prune99.0ms (1.6%)

Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New1266132
Fresh000
Picked101
Done000
Total1276133
Error
2.3b
Counts
133 → 6
Alt Table
StatusErrorProgram
18.8b
(/.f64 (*.f64 a (pow.f64 k m)) (/.f64 (-.f64 (pow.f64 (cbrt.f64 (fma.f64 k 10 1)) 6) (pow.f64 k 4)) (+.f64 1 (*.f64 k (-.f64 10 k)))))
15.5b
(cbrt.f64 (pow.f64 (/.f64 (*.f64 a (pow.f64 k m)) (fma.f64 k 10 (fma.f64 k k 1))) 3))
11.0b
(/.f64 (*.f64 a (pow.f64 k m)) (fma.f64 k 10 1))
27.5b
(+.f64 (/.f64 a (fma.f64 k 10 (fma.f64 k k 1))) (*.f64 (/.f64 a (fma.f64 k 10 (fma.f64 k k 1))) (*.f64 (log.f64 k) m)))
2.8b
(/.f64 (*.f64 (*.f64 (cbrt.f64 a) (cbrt.f64 a)) (*.f64 (pow.f64 k m) (cbrt.f64 a))) (+.f64 (+.f64 1 (*.f64 10 k)) (*.f64 k k)))
2.3b
(/.f64 (*.f64 a (pow.f64 k m)) (+.f64 (+.f64 1 (*.f64 k 10)) (*.f64 k k)))
Compiler

Compiled 2094 to 1118 computations (46.6% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b
(+.f64 1 (*.f64 k 10))
0.0b
(+.f64 (+.f64 1 (*.f64 k 10)) (*.f64 k k))
0.0b
(*.f64 a (pow.f64 k m))
2.3b
(/.f64 (*.f64 a (pow.f64 k m)) (+.f64 (+.f64 1 (*.f64 k 10)) (*.f64 k k)))

rewrite208.0ms (3.3%)

Algorithm
rewrite-expression-head
Error
2.3b
Rules
30×add-cube-cbrt_binary64
20×add-sqr-sqrt_binary64
18×add-log-exp_binary64
18×add-cbrt-cube_binary64
17×pow1_binary64
Counts
4 → 167
Calls

4 calls:

19.0ms
(/.f64 (*.f64 a (pow.f64 k m)) (+.f64 (+.f64 1 (*.f64 k 10)) (*.f64 k k)))
19.0ms
(+.f64 (+.f64 1 (*.f64 k 10)) (*.f64 k k))
14.0ms
(+.f64 1 (*.f64 k 10))
14.0ms
(*.f64 a (pow.f64 k m))
Compiler

Compiled 3365 to 1719 computations (48.9% saved)

series114.0ms (1.8%)

Error
2.3b
Counts
4 → 40
Calls

4 calls:

51.0ms
(/.f64 (*.f64 a (pow.f64 k m)) (+.f64 (+.f64 1 (*.f64 k 10)) (*.f64 k k)))
29.0ms
(*.f64 a (pow.f64 k m))
10.0ms
(+.f64 (+.f64 1 (*.f64 k 10)) (*.f64 k k))
8.0ms
(+.f64 1 (*.f64 k 10))
Compiler

Compiled 1907 to 1235 computations (35.2% saved)

simplify158.0ms (2.5%)

Algorithm
egg-herbie
Rules
656×fma-neg_binary64
385×unswap-sqr_binary64
355×cancel-sign-sub-inv_binary64
256×distribute-rgt-neg-in_binary64
222×associate-*r*_binary64
Counts
207 → 132
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02332858
16012546
225102492
345102492
449542492
550522492

prune80.0ms (1.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1320132
Fresh055
Picked011
Done000
Total1326138
Error
2.3b
Counts
138 → 6
Alt Table
StatusErrorProgram
18.8b
(/.f64 (*.f64 a (pow.f64 k m)) (/.f64 (-.f64 (pow.f64 (cbrt.f64 (fma.f64 k 10 1)) 6) (pow.f64 k 4)) (+.f64 1 (*.f64 k (-.f64 10 k)))))
15.5b
(cbrt.f64 (pow.f64 (/.f64 (*.f64 a (pow.f64 k m)) (fma.f64 k 10 (fma.f64 k k 1))) 3))
11.0b
(/.f64 (*.f64 a (pow.f64 k m)) (fma.f64 k 10 1))
27.5b
(+.f64 (/.f64 a (fma.f64 k 10 (fma.f64 k k 1))) (*.f64 (/.f64 a (fma.f64 k 10 (fma.f64 k k 1))) (*.f64 (log.f64 k) m)))
2.8b
(/.f64 (*.f64 (*.f64 (cbrt.f64 a) (cbrt.f64 a)) (*.f64 (pow.f64 k m) (cbrt.f64 a))) (+.f64 (+.f64 1 (*.f64 10 k)) (*.f64 k k)))
2.3b
(/.f64 (*.f64 a (pow.f64 k m)) (+.f64 (+.f64 1 (*.f64 k 10)) (*.f64 k k)))
Compiler

Compiled 2073 to 1111 computations (46.4% saved)

localize16.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 a)
0.6b
(cbrt.f64 a)
0.6b
(cbrt.f64 a)
2.3b
(/.f64 (*.f64 (*.f64 (cbrt.f64 a) (cbrt.f64 a)) (*.f64 (pow.f64 k m) (cbrt.f64 a))) (+.f64 (+.f64 1 (*.f64 10 k)) (*.f64 k k)))

rewrite148.0ms (2.3%)

Algorithm
rewrite-expression-head
Error
2.3b
Rules
32×add-cube-cbrt_binary64
16×add-exp-log_binary64
16×add-sqr-sqrt_binary64
13×pow1/3_binary64
12×log1p-expm1-u_binary64
Counts
4 → 138
Calls

4 calls:

20.0ms
(/.f64 (*.f64 (*.f64 (cbrt.f64 a) (cbrt.f64 a)) (*.f64 (pow.f64 k m) (cbrt.f64 a))) (+.f64 (+.f64 1 (*.f64 10 k)) (*.f64 k k)))
13.0ms
(cbrt.f64 a)
11.0ms
(cbrt.f64 a)
10.0ms
(cbrt.f64 a)
Compiler

Compiled 3121 to 1173 computations (62.4% saved)

series109.0ms (1.7%)

Error
2.3b
Counts
4 → 23
Calls

4 calls:

59.0ms
(/.f64 (*.f64 (*.f64 (cbrt.f64 a) (cbrt.f64 a)) (*.f64 (pow.f64 k m) (cbrt.f64 a))) (+.f64 (+.f64 1 (*.f64 10 k)) (*.f64 k k)))
12.0ms
(cbrt.f64 a)
12.0ms
(cbrt.f64 a)
12.0ms
(cbrt.f64 a)
Compiler

Compiled 1586 to 1022 computations (35.6% saved)

simplify97.0ms (1.5%)

Algorithm
egg-herbie
Rules
553×fma-def_binary64
453×fma-neg_binary64
384×distribute-rgt-in_binary64
236×unswap-sqr_binary64
224×cancel-sign-sub-inv_binary64
Counts
161 → 79
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01622424
14541668
219961552
345911548
450151548

prune64.0ms (1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New79079
Fresh044
Picked011
Done011
Total79685
Error
2.3b
Counts
85 → 6
Alt Table
StatusErrorProgram
18.8b
(/.f64 (*.f64 a (pow.f64 k m)) (/.f64 (-.f64 (pow.f64 (cbrt.f64 (fma.f64 k 10 1)) 6) (pow.f64 k 4)) (+.f64 1 (*.f64 k (-.f64 10 k)))))
15.5b
(cbrt.f64 (pow.f64 (/.f64 (*.f64 a (pow.f64 k m)) (fma.f64 k 10 (fma.f64 k k 1))) 3))
11.0b
(/.f64 (*.f64 a (pow.f64 k m)) (fma.f64 k 10 1))
27.5b
(+.f64 (/.f64 a (fma.f64 k 10 (fma.f64 k k 1))) (*.f64 (/.f64 a (fma.f64 k 10 (fma.f64 k k 1))) (*.f64 (log.f64 k) m)))
2.8b
(/.f64 (*.f64 (*.f64 (cbrt.f64 a) (cbrt.f64 a)) (*.f64 (pow.f64 k m) (cbrt.f64 a))) (+.f64 (+.f64 1 (*.f64 10 k)) (*.f64 k k)))
2.3b
(/.f64 (*.f64 a (pow.f64 k m)) (+.f64 (+.f64 1 (*.f64 k 10)) (*.f64 k k)))
Compiler

Compiled 1436 to 743 computations (48.3% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b
(*.f64 a (pow.f64 k m))
0.0b
(fma.f64 k 10 1)
0.1b
(/.f64 (*.f64 a (pow.f64 k m)) (fma.f64 k 10 1))

rewrite142.0ms (2.3%)

Algorithm
rewrite-expression-head
Error
2.3b
Rules
21×add-cube-cbrt_binary64
16×add-sqr-sqrt_binary64
15×add-cbrt-cube_binary64
13×pow1_binary64
12×add-exp-log_binary64
Counts
3 → 114
Calls

3 calls:

14.0ms
(/.f64 (*.f64 a (pow.f64 k m)) (fma.f64 k 10 1))
13.0ms
(*.f64 a (pow.f64 k m))
12.0ms
(fma.f64 k 10 1)
Compiler

Compiled 1498 to 765 computations (48.9% saved)

series93.0ms (1.5%)

Error
2.3b
Counts
3 → 30
Calls

3 calls:

42.0ms
(/.f64 (*.f64 a (pow.f64 k m)) (fma.f64 k 10 1))
30.0ms
(*.f64 a (pow.f64 k m))
8.0ms
(fma.f64 k 10 1)
Compiler

Compiled 1299 to 873 computations (32.8% saved)

simplify101.0ms (1.6%)

Algorithm
egg-herbie
Rules
822×associate-/l*_binary64
315×fma-def_binary64
296×unswap-sqr_binary64
259×fma-neg_binary64
162×associate-/l/_binary64
Counts
144 → 62
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01621551
13771424
213711372
343131354
449651354
549461354

prune38.0ms (0.6%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New60262
Fresh033
Picked101
Done022
Total61768
Error
2.3b
Counts
68 → 7
Alt Table
StatusErrorProgram
18.8b
(/.f64 (*.f64 a (pow.f64 k m)) (/.f64 (-.f64 (pow.f64 (cbrt.f64 (fma.f64 k 10 1)) 6) (pow.f64 k 4)) (+.f64 1 (*.f64 k (-.f64 10 k)))))
15.5b
(cbrt.f64 (pow.f64 (/.f64 (*.f64 a (pow.f64 k m)) (fma.f64 k 10 (fma.f64 k k 1))) 3))
19.1b
(/.f64 (*.f64 a (pow.f64 k m)) (exp.f64 (log1p.f64 (*.f64 k 10))))
11.0b
(/.f64 (*.f64 (pow.f64 k m) (/.f64 a (*.f64 (cbrt.f64 (fma.f64 k 10 1)) (cbrt.f64 (fma.f64 k 10 1))))) (cbrt.f64 (fma.f64 k 10 1)))
27.5b
(+.f64 (/.f64 a (fma.f64 k 10 (fma.f64 k k 1))) (*.f64 (/.f64 a (fma.f64 k 10 (fma.f64 k k 1))) (*.f64 (log.f64 k) m)))
2.8b
(/.f64 (*.f64 (*.f64 (cbrt.f64 a) (cbrt.f64 a)) (*.f64 (pow.f64 k m) (cbrt.f64 a))) (+.f64 (+.f64 1 (*.f64 10 k)) (*.f64 k k)))
2.3b
(/.f64 (*.f64 a (pow.f64 k m)) (+.f64 (+.f64 1 (*.f64 k 10)) (*.f64 k k)))
Compiler

Compiled 646 to 363 computations (43.8% saved)

regimes810.0ms (12.9%)

Accuracy

Total 0.1b remaining (3.3%)

Threshold costs 0.1b (3.3%)

Compiler

Compiled 13083 to 8995 computations (31.2% saved)

simplify4.0ms (0.1%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
+-commutative_binary64
1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01737
12437
22337

end1.0ms (0%)

Compiler

Compiled 27 to 16 computations (40.7% saved)

sample1.9s (29.8%)

Algorithm
intervals
Results
718.0ms8000×body128valid
355.0ms3277×body128invalid
133.0ms2084×body128nan
Compiler

Compiled 206 to 140 computations (32% saved)

Profiling

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