Details

Time bar (total: 6.2s)

sample46.0ms

Algorithm
intervals
Results
15.0ms35×body1280valid
12.0ms181×body80valid
5.0ms20×body640valid
2.0ms14×body320valid
1.0ms6×body160valid

simplify7.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0135
1224
2284
3284

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
11×*-un-lft-identity
10×add-log-exp
9×add-sqr-sqrt
7×add-cube-cbrt fma-def
5×pow1 add-exp-log add-cbrt-cube
4×sum-log
3×expm1-log1p-u associate-*r* associate-*l* log1p-expm1-u
2×+-commutative flip3-+ flip-+ distribute-lft-out
1×associate-+l+ pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
3 → 56
Calls
3 calls:
3.0ms
(+ x (sin y))
17.0ms
(+ (+ x (sin y)) (* z (cos y)))
3.0ms
(* z (cos y))

series102.0ms

Counts
3 → 9
Calls
3 calls:
24.0ms
(+ x (sin y))
38.0ms
(+ (+ x (sin y)) (* z (cos y)))
40.0ms
(* z (cos y))

simplify78.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0208268
1743242
22955242
35001242

prune169.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt z) (cbrt z))
0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)

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 z) (cbrt z))
0.0ms
(cbrt z)
0.0ms
(cbrt z)
1.0ms
(cbrt z)

series763.0ms

Counts
4 → 12
Calls
4 calls:
203.0ms
(* (cbrt z) (cbrt z))
189.0ms
(cbrt z)
186.0ms
(cbrt z)
184.0ms
(cbrt z)

simplify91.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (85.0ms)

IterNodesCost
0119308
1477281
22972258
35001255

prune294.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt (cbrt z))
0.6b
(cbrt (* (cbrt z) (cbrt z)))
0.9b
(pow (cbrt (cbrt z)) 4)

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
22×cbrt-prod
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×unpow-prod-down
5×pow1 add-exp-log
4×expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
3×pow-unpow
2×pow-pow
1×pow-to-exp pow-exp sqr-pow
Counts
4 → 66
Calls
4 calls:
0.0ms
(cbrt z)
1.0ms
(cbrt (cbrt z))
3.0ms
(cbrt (* (cbrt z) (cbrt z)))
3.0ms
(pow (cbrt (cbrt z)) 4)

series1.0s

Counts
4 → 12
Calls
4 calls:
194.0ms
(cbrt z)
255.0ms
(cbrt (cbrt z))
280.0ms
(cbrt (* (cbrt z) (cbrt z)))
316.0ms
(pow (cbrt (cbrt z)) 4)

simplify85.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 3 (80.0ms)

IterNodesCost
0199343
1606312
22110292
35001285

prune310.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (* (cbrt z) (cbrt z)))
0.9b
(pow (cbrt (cbrt z)) 4)
0.9b
(pow (cbrt (cbrt z)) 4)
0.9b
(pow (cbrt (cbrt z)) 4)

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
28×cbrt-prod
27×unpow-prod-down
16×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×pow-unpow
7×pow1 add-exp-log
6×pow-pow
4×expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
3×pow-to-exp pow-exp sqr-pow
Counts
4 → 89
Calls
4 calls:
3.0ms
(cbrt (* (cbrt z) (cbrt z)))
2.0ms
(pow (cbrt (cbrt z)) 4)
3.0ms
(pow (cbrt (cbrt z)) 4)
3.0ms
(pow (cbrt (cbrt z)) 4)

series1.2s

Counts
4 → 12
Calls
4 calls:
287.0ms
(cbrt (* (cbrt z) (cbrt z)))
314.0ms
(pow (cbrt (cbrt z)) 4)
314.0ms
(pow (cbrt (cbrt z)) 4)
315.0ms
(pow (cbrt (cbrt z)) 4)

simplify57.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 3 (50.0ms)

IterNodesCost
0153532
1402508
21474483
35001465

prune434.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0.0b

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

sample1.2s

Algorithm
intervals
Results
411.0ms948×body1280valid
296.0ms5557×body80valid
227.0ms873×body640valid
69.0ms387×body320valid
34.0ms235×body160valid