Details

Time bar (total: 3.7s)

sample27.0ms

Algorithm
intervals
Results
8.0ms270×body80valid
7.0ms274×body80nan
0.0ms1×body640valid

simplify21.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0134
1253
2443
3693
41023
51713
61923
72253
83163
93513
103513

prune5.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 0.1b

Counts
2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

0.1b
(fma (sqrt x) y (- 1.0 x))

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
1.0ms
(fma (sqrt x) y (- 1.0 x))

series38.0ms

Counts
1 → 3
Calls
1 calls:
38.0ms
(fma (sqrt x) y (- 1.0 x))

simplify41.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 3 (14.0ms)

IterNodesCost
06471
116257
247655
3175554
4500154

prune40.0ms

Filtered
13 candidates to 12 candidates (92.3%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New9413
Fresh000
Picked011
Done000
Total9514

Merged error: 0.1b

Counts
14 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (fma (sqrt x) y (- 1.0 x))) (cbrt (fma (sqrt x) y (- 1.0 x))))
0.4b
(cbrt (fma (sqrt x) y (- 1.0 x)))
0.4b
(cbrt (fma (sqrt x) y (- 1.0 x)))
0.4b
(cbrt (fma (sqrt x) y (- 1.0 x)))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
5.0ms
(* (cbrt (fma (sqrt x) y (- 1.0 x))) (cbrt (fma (sqrt x) y (- 1.0 x))))
1.0ms
(cbrt (fma (sqrt x) y (- 1.0 x)))
1.0ms
(cbrt (fma (sqrt x) y (- 1.0 x)))
1.0ms
(cbrt (fma (sqrt x) y (- 1.0 x)))

series539.0ms

Counts
4 → 12
Calls
4 calls:
124.0ms
(* (cbrt (fma (sqrt x) y (- 1.0 x))) (cbrt (fma (sqrt x) y (- 1.0 x))))
137.0ms
(cbrt (fma (sqrt x) y (- 1.0 x)))
140.0ms
(cbrt (fma (sqrt x) y (- 1.0 x)))
138.0ms
(cbrt (fma (sqrt x) y (- 1.0 x)))

simplify113.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (98.0ms)

IterNodesCost
0238888
1755823
23353765
35001747

prune235.0ms

Filtered
93 candidates to 72 candidates (77.4%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New90393
Fresh123
Picked011
Done011
Total91798

Merged error: 0.0b

Counts
98 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

0.4b
(cbrt (fma (sqrt x) y (- 1.0 x)))
0.4b
(cbrt (fma (sqrt x) y (- 1.0 x)))
0.4b
(cbrt (fma (sqrt x) y (- 1.0 x)))
0.5b
(cbrt (* (cbrt (fma (sqrt x) y (- 1.0 x))) (cbrt (fma (sqrt x) y (- 1.0 x)))))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
10×cbrt-prod
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 50
Calls
4 calls:
1.0ms
(cbrt (fma (sqrt x) y (- 1.0 x)))
1.0ms
(cbrt (fma (sqrt x) y (- 1.0 x)))
1.0ms
(cbrt (fma (sqrt x) y (- 1.0 x)))
4.0ms
(cbrt (* (cbrt (fma (sqrt x) y (- 1.0 x))) (cbrt (fma (sqrt x) y (- 1.0 x)))))

series548.0ms

Counts
4 → 12
Calls
4 calls:
141.0ms
(cbrt (fma (sqrt x) y (- 1.0 x)))
148.0ms
(cbrt (fma (sqrt x) y (- 1.0 x)))
130.0ms
(cbrt (fma (sqrt x) y (- 1.0 x)))
128.0ms
(cbrt (* (cbrt (fma (sqrt x) y (- 1.0 x))) (cbrt (fma (sqrt x) y (- 1.0 x)))))

simplify55.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 3 (47.0ms)

IterNodesCost
0208587
1512539
21695531
35002501

prune244.0ms

Filtered
62 candidates to 58 candidates (93.5%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New61162
Fresh044
Picked011
Done112
Total62769

Merged error: 0.0b

Counts
69 → 7

localize18.0ms

Local error

Found 4 expressions with local error:

0.4b
(cbrt (fma (sqrt x) y (- 1.0 x)))
0.4b
(cbrt (fma (sqrt x) y (- 1.0 x)))
0.5b
(cbrt (* (cbrt (fma (sqrt x) y (- 1.0 x))) (cbrt (fma (sqrt x) y (- 1.0 x)))))
0.5b
(cbrt (* (cbrt (fma (sqrt x) y (- 1.0 x))) (cbrt (fma (sqrt x) y (- 1.0 x)))))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
8×cbrt-prod
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 48
Calls
4 calls:
1.0ms
(cbrt (fma (sqrt x) y (- 1.0 x)))
1.0ms
(cbrt (fma (sqrt x) y (- 1.0 x)))
4.0ms
(cbrt (* (cbrt (fma (sqrt x) y (- 1.0 x))) (cbrt (fma (sqrt x) y (- 1.0 x)))))
8.0ms
(cbrt (* (cbrt (fma (sqrt x) y (- 1.0 x))) (cbrt (fma (sqrt x) y (- 1.0 x)))))

series540.0ms

Counts
4 → 12
Calls
4 calls:
143.0ms
(cbrt (fma (sqrt x) y (- 1.0 x)))
139.0ms
(cbrt (fma (sqrt x) y (- 1.0 x)))
129.0ms
(cbrt (* (cbrt (fma (sqrt x) y (- 1.0 x))) (cbrt (fma (sqrt x) y (- 1.0 x)))))
129.0ms
(cbrt (* (cbrt (fma (sqrt x) y (- 1.0 x))) (cbrt (fma (sqrt x) y (- 1.0 x)))))

simplify53.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 3 (46.0ms)

IterNodesCost
0208626
1512566
21695558
35002534

prune298.0ms

Filtered
60 candidates to 56 candidates (93.3%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New60060
Fresh044
Picked011
Done022
Total60767

Merged error: 0.0b

Counts
67 → 7

regimes63.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
063

end0.0ms

sample737.0ms

Algorithm
intervals
Results
241.0ms8502×body80valid
221.0ms8562×body80nan

Profiling

Loading profile data...