Details

Time bar (total: 5.9s)

sample41.0ms

Algorithm
intervals
Results
14.0ms35×body1280valid
9.0ms181×body80valid
5.0ms20×body640valid
2.0ms14×body320valid
1.0ms6×body160valid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

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)

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))

rewrite27.0ms

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))
20.0ms
(+ (+ x (sin y)) (* z (cos y)))
3.0ms
(* z (cos y))

series100.0ms

Counts
3 → 9
Calls
3 calls:
28.0ms
(+ x (sin y))
37.0ms
(+ (+ x (sin y)) (* z (cos y)))
35.0ms
(* z (cos y))

simplify72.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0208268
1743242
22955242
35001242

prune150.0ms

Filtered
65 candidates to 50 candidates (76.9%)
Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

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:
5.0ms
(* (cbrt z) (cbrt z))
0.0ms
(cbrt z)
0.0ms
(cbrt z)
1.0ms
(cbrt z)

series716.0ms

Counts
4 → 12
Calls
4 calls:
196.0ms
(* (cbrt z) (cbrt z))
176.0ms
(cbrt z)
173.0ms
(cbrt z)
171.0ms
(cbrt z)

simplify94.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (89.0ms)

IterNodesCost
0119308
1477281
22972258
35001255

prune257.0ms

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

rewrite7.0ms

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))
2.0ms
(cbrt (* (cbrt z) (cbrt z)))
2.0ms
(pow (cbrt (cbrt z)) 4)

series943.0ms

Counts
4 → 12
Calls
4 calls:
167.0ms
(cbrt z)
226.0ms
(cbrt (cbrt z))
261.0ms
(cbrt (* (cbrt z) (cbrt z)))
289.0ms
(pow (cbrt (cbrt z)) 4)

simplify76.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 3 (72.0ms)

IterNodesCost
0199343
1606312
22110292
35001285

prune290.0ms

Filtered
78 candidates to 62 candidates (79.5%)
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)

rewrite12.0ms

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)))
3.0ms
(pow (cbrt (cbrt z)) 4)
2.0ms
(pow (cbrt (cbrt z)) 4)
3.0ms
(pow (cbrt (cbrt z)) 4)

series1.2s

Counts
4 → 12
Calls
4 calls:
267.0ms
(cbrt (* (cbrt z) (cbrt z)))
302.0ms
(pow (cbrt (cbrt z)) 4)
304.0ms
(pow (cbrt (cbrt z)) 4)
299.0ms
(pow (cbrt (cbrt z)) 4)

simplify66.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (15.0ms)

IterNodesCost
0153526
1460488
21617465
35001465

prune441.0ms

Filtered
101 candidates to 73 candidates (72.3%)
Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0.0b

regimes109.0ms

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
385.0ms948×body1280valid
307.0ms5557×body80valid
216.0ms873×body640valid
77.0ms387×body320valid
29.0ms235×body160valid