Details

Time bar (total: 4.5s)

sample39.0ms

Algorithm
intervals
Results
14.0ms36×body1280valid
9.0ms186×body80valid
3.0ms11×body640valid
2.0ms13×body320valid
1.0ms10×body160valid

simplify7.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0135
1224
2284
3284

prune6.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite4.0ms

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:
3.0ms
(+ x (sin y))
0.0ms
(fma (cos y) z (+ x (sin y)))

series69.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(+ x (sin y))
44.0ms
(fma (cos y) z (+ x (sin y)))

simplify54.0ms

Algorithm
egg-herbie
Counts
33 → 33
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
098137
1220120
2612120
32378120
45001120

prune91.0ms

Filtered
33 candidates to 27 candidates (81.8%)
Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

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))))

rewrite9.0ms

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:
6.0ms
(* (cbrt (fma (cos y) z (+ x (sin y)))) (cbrt (fma (cos y) z (+ x (sin y)))))
0.0ms
(cbrt (fma (cos y) z (+ x (sin y))))
0.0ms
(cbrt (fma (cos y) z (+ x (sin y))))
1.0ms
(cbrt (fma (cos y) z (+ x (sin y))))

series923.0ms

Counts
4 → 12
Calls
4 calls:
196.0ms
(* (cbrt (fma (cos y) z (+ x (sin y)))) (cbrt (fma (cos y) z (+ x (sin y)))))
183.0ms
(cbrt (fma (cos y) z (+ x (sin y))))
362.0ms
(cbrt (fma (cos y) z (+ x (sin y))))
182.0ms
(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

prune295.0ms

Filtered
93 candidates to 72 candidates (77.4%)
Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
81×cbrt-prod
40×add-sqr-sqrt
22×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3 swap-sqr associate-*r* associate-*l* unswap-sqr
6×add-exp-log
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 104
Calls
4 calls:
11.0ms
(* (cbrt (cbrt (fma (cos y) z (+ x (sin y))))) (cbrt (cbrt (fma (cos y) z (+ x (sin y))))))
1.0ms
(cbrt (cbrt (fma (cos y) z (+ x (sin y)))))
1.0ms
(cbrt (cbrt (fma (cos y) z (+ x (sin y)))))
1.0ms
(cbrt (cbrt (fma (cos y) z (+ x (sin y)))))

series797.0ms

Counts
4 → 12
Calls
4 calls:
204.0ms
(* (cbrt (cbrt (fma (cos y) z (+ x (sin y))))) (cbrt (cbrt (fma (cos y) z (+ x (sin y))))))
186.0ms
(cbrt (cbrt (fma (cos y) z (+ x (sin y)))))
186.0ms
(cbrt (cbrt (fma (cos y) z (+ x (sin y)))))
221.0ms
(cbrt (cbrt (fma (cos y) z (+ x (sin y)))))

simplify56.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
03731822
115461722
250021587

prune427.0ms

Filtered
116 candidates to 87 candidates (75.0%)
Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (sin y))
0.0b
(fma (cos y) z (cbrt (pow (+ x (sin y)) 3)))
0.2b
(pow (+ x (sin y)) 3)
25.4b
(cbrt (pow (+ x (sin y)) 3))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
21×*-un-lft-identity
14×cbrt-prod
11×add-sqr-sqrt add-cube-cbrt
8×unpow-prod-down cube-prod
6×add-log-exp
5×pow1 add-exp-log add-cbrt-cube distribute-lft-out
4×cube-div expm1-log1p-u log1p-expm1-u
3×pow-unpow fma-def flip3-+ flip-+
2×cube-mult cbrt-div unpow3 sqr-pow
1×+-commutative pow-to-exp pow-pow pow1/3 pow-exp sum-log rem-cbrt-cube fma-udef rem-cube-cbrt
Counts
4 → 83
Calls
4 calls:
3.0ms
(+ x (sin y))
0.0ms
(fma (cos y) z (cbrt (pow (+ x (sin y)) 3)))
5.0ms
(pow (+ x (sin y)) 3)
5.0ms
(cbrt (pow (+ x (sin y)) 3))

series123.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(+ x (sin y))
41.0ms
(fma (cos y) z (cbrt (pow (+ x (sin y)) 3)))
31.0ms
(pow (+ x (sin y)) 3)
25.0ms
(cbrt (pow (+ x (sin y)) 3))

simplify39.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0259458
11097418
25001408

prune239.0ms

Filtered
95 candidates to 61 candidates (64.2%)
Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes60.0ms

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

sample1.2s

Algorithm
intervals
Results
411.0ms1018×body1280valid
288.0ms5619×body80valid
185.0ms774×body640valid
65.0ms402×body320valid
27.0ms187×body160valid