Details

Time bar (total: 5.0s)

sample40.0ms

Algorithm
intervals
Results
12.0ms30×body1280valid
10.0ms188×body80valid
6.0ms23×body640valid
2.0ms10×body320valid
1.0ms5×body160valid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
0135
1224
2284
3284

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

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (sin y))
0.1b
(fma (cos y) z (+ x (sin y)))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
5×*-un-lft-identity
4×add-log-exp
3×add-sqr-sqrt add-cube-cbrt fma-def
2×pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u
1×+-commutative flip3-+ sum-log flip-+ fma-udef distribute-lft-out
Counts
2 → 27
Calls
2 calls:
7.0ms
(+ x (sin y))
1.0ms
(fma (cos y) z (+ x (sin y)))

series62.0ms

Counts
2 → 6
Calls
2 calls:
24.0ms
(+ x (sin y))
38.0ms
(fma (cos y) z (+ x (sin y)))

simplify53.0ms

Algorithm
egg-herbie
Counts
33 → 33
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
098137
1220120
2612120
32378120
45001120

prune78.0ms

Filtered
33 candidates to 27 candidates (81.8%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New31233
Fresh000
Picked011
Done000
Total31334

Merged error: 0.0b

Counts
34 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (fma (cos y) z (+ x (sin y)))) (cbrt (fma (cos y) z (+ x (sin y)))))
0.5b
(cbrt (fma (cos y) z (+ x (sin y))))
0.5b
(cbrt (fma (cos y) z (+ x (sin y))))
0.5b
(cbrt (fma (cos y) z (+ x (sin y))))

rewrite10.0ms

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 (cos y) z (+ x (sin y)))) (cbrt (fma (cos y) z (+ x (sin y)))))
1.0ms
(cbrt (fma (cos y) z (+ x (sin y))))
1.0ms
(cbrt (fma (cos y) z (+ x (sin y))))
1.0ms
(cbrt (fma (cos y) z (+ x (sin y))))

series740.0ms

Counts
4 → 12
Calls
4 calls:
198.0ms
(* (cbrt (fma (cos y) z (+ x (sin y)))) (cbrt (fma (cos y) z (+ x (sin y)))))
178.0ms
(cbrt (fma (cos y) z (+ x (sin y))))
185.0ms
(cbrt (fma (cos y) z (+ x (sin y))))
178.0ms
(cbrt (fma (cos y) z (+ x (sin y))))

simplify47.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
03491228
115681141
250011051

prune281.0ms

Filtered
93 candidates to 72 candidates (77.4%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New89493
Fresh011
Picked011
Done011
Total89796

Merged error: 0.0b

Counts
96 → 7

localize21.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (fma (cos y) z (+ x (sin y))))
0.5b
(cbrt (fma (cos y) z (+ x (sin y))))
0.5b
(cbrt (fma (cos y) z (+ x (sin y))))
0.5b
(cbrt (cbrt (fma (cos y) z (+ x (sin y)))))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-prod
9×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 → 55
Calls
4 calls:
1.0ms
(cbrt (fma (cos y) z (+ x (sin y))))
1.0ms
(cbrt (fma (cos y) z (+ x (sin y))))
1.0ms
(cbrt (fma (cos y) z (+ x (sin y))))
2.0ms
(cbrt (cbrt (fma (cos y) z (+ x (sin y)))))

series696.0ms

Counts
4 → 12
Calls
4 calls:
173.0ms
(cbrt (fma (cos y) z (+ x (sin y))))
174.0ms
(cbrt (fma (cos y) z (+ x (sin y))))
174.0ms
(cbrt (fma (cos y) z (+ x (sin y))))
175.0ms
(cbrt (cbrt (fma (cos y) z (+ x (sin y)))))

simplify34.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
0303856
11097802
25002766

prune294.0ms

Filtered
67 candidates to 63 candidates (94.0%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New66167
Fresh044
Picked011
Done022
Total66874

Merged error: 0.0b

Counts
74 → 8

localize24.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (fma (cos y) z (+ x (sin y))))
0.5b
(cbrt (fma (cos y) z (+ x (sin y))))
0.5b
(cbrt (cbrt (fma (cos y) z (+ x (sin y)))))
0.6b
(cbrt (cbrt (cbrt (fma (cos y) z (+ x (sin y))))))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
33×cbrt-prod
11×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 → 61
Calls
4 calls:
1.0ms
(cbrt (fma (cos y) z (+ x (sin y))))
1.0ms
(cbrt (fma (cos y) z (+ x (sin y))))
2.0ms
(cbrt (cbrt (fma (cos y) z (+ x (sin y)))))
2.0ms
(cbrt (cbrt (cbrt (fma (cos y) z (+ x (sin y))))))

series735.0ms

Counts
4 → 12
Calls
4 calls:
182.0ms
(cbrt (fma (cos y) z (+ x (sin y))))
184.0ms
(cbrt (fma (cos y) z (+ x (sin y))))
190.0ms
(cbrt (cbrt (fma (cos y) z (+ x (sin y)))))
178.0ms
(cbrt (cbrt (cbrt (fma (cos y) z (+ x (sin y))))))

simplify42.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0430987
11556926
25001895

prune383.0ms

Filtered
73 candidates to 69 candidates (94.5%)
Pruning

9 alts after pruning (5 fresh and 4 done)

PrunedKeptTotal
New72173
Fresh044
Picked011
Done033
Total72981

Merged error: 0.0b

Counts
81 → 9

regimes130.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
084
184

end0.0ms

sample1.3s

Algorithm
intervals
Results
422.0ms971×body1280valid
311.0ms5589×body80valid
213.0ms787×body640valid
84.0ms424×body320valid
29.0ms229×body160valid

Profiling

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