Details

Time bar (total: 4.4s)

sample43.0ms

Algorithm
intervals
Results
15.0ms37×body1280valid
10.0ms176×body80valid
5.0ms18×body640valid
3.0ms15×body320valid
1.0ms10×body160valid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0135
1224
2284
3284

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt *-un-lft-identity add-log-exp
5×add-cube-cbrt
4×pow1 add-exp-log fma-def add-cbrt-cube
3×associate-*r* associate-*l* sum-log
2×expm1-log1p-u log1p-expm1-u
1×+-commutative associate-+l+ flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ distribute-lft-out unswap-sqr
Counts
2 → 39
Calls
2 calls:
18.0ms
(+ (+ x (sin y)) (* z (cos y)))
3.0ms
(* z (cos y))

series78.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(+ (+ x (sin y)) (* z (cos y)))
40.0ms
(* z (cos y))

simplify71.0ms

Algorithm
egg-herbie
Counts
45 → 45
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0159210
1639185
22791185
35001185

prune116.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (cbrt (cos y)) (cbrt (cos y)))
0.3b
(cbrt (cos y))
0.3b
(cbrt (cos y))
0.3b
(cbrt (cos y))

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:
7.0ms
(* (cbrt (cos y)) (cbrt (cos y)))
1.0ms
(cbrt (cos y))
1.0ms
(cbrt (cos y))
1.0ms
(cbrt (cos y))

series457.0ms

Counts
4 → 12
Calls
4 calls:
158.0ms
(* (cbrt (cos y)) (cbrt (cos y)))
98.0ms
(cbrt (cos y))
102.0ms
(cbrt (cos y))
99.0ms
(cbrt (cos y))

simplify102.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (97.0ms)

IterNodesCost
0128471
1500419
23232387
35002381

prune284.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (cos y))
0.3b
(cbrt (cos y))
0.3b
(cbrt (cos y))
0.3b
(cbrt (cos y))

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×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 → 52
Calls
4 calls:
1.0ms
(cbrt (cos y))
1.0ms
(cbrt (cos y))
1.0ms
(cbrt (cos y))
1.0ms
(cbrt (cos y))

series400.0ms

Counts
4 → 12
Calls
4 calls:
98.0ms
(cbrt (cos y))
102.0ms
(cbrt (cos y))
101.0ms
(cbrt (cos y))
99.0ms
(cbrt (cos y))

simplify110.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 4 (101.0ms)

IterNodesCost
050256
1147236
2450228
32269228
45001220

prune254.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(* (cbrt (* z (cos y))) (cbrt (* z (cos y))))
0.6b
(cbrt (* z (cos y)))
0.6b
(cbrt (* z (cos y)))
0.6b
(cbrt (* z (cos y)))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1
10×add-sqr-sqrt
9×pow1/3
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×expm1-log1p-u swap-sqr associate-*r* associate-*l* 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 unswap-sqr
Counts
4 → 66
Calls
4 calls:
6.0ms
(* (cbrt (* z (cos y))) (cbrt (* z (cos y))))
2.0ms
(cbrt (* z (cos y)))
2.0ms
(cbrt (* z (cos y)))
2.0ms
(cbrt (* z (cos y)))

series531.0ms

Counts
4 → 12
Calls
4 calls:
148.0ms
(* (cbrt (* z (cos y))) (cbrt (* z (cos y))))
128.0ms
(cbrt (* z (cos y)))
124.0ms
(cbrt (* z (cos y)))
131.0ms
(cbrt (* z (cos y)))

simplify125.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 3 (120.0ms)

IterNodesCost
0179463
1700412
23661382
35001357

prune244.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes117.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0115
1115

end0.0ms

sample1.3s

Algorithm
intervals
Results
430.0ms1007×body1280valid
339.0ms5594×body80valid
220.0ms791×body640valid
81.0ms420×body320valid
24.0ms188×body160valid