Details

Time bar (total: 4.8s)

sample22.0ms

Algorithm
intervals
Results
7.0ms330×body80valid
1.0ms6×body1280valid
0.0ms5×body640valid
0.0ms2×body160valid
0.0ms1×body320valid

simplify11.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0193
1343
2533
3633
4643
5643

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ y z))
0.0b
(+ (* x (+ y z)) (* z 5.0))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt *-un-lft-identity
4×pow1 add-exp-log add-cube-cbrt associate-*r* add-cbrt-cube add-log-exp
3×associate-*l*
2×distribute-rgt-in expm1-log1p-u associate-+l+ distribute-lft-in flip3-+ associate-*r/ flip-+ log1p-expm1-u
1×+-commutative fma-def pow-prod-down prod-exp sum-log *-commutative cbrt-unprod distribute-lft-out unswap-sqr
Counts
2 → 41
Calls
2 calls:
20.0ms
(* x (+ y z))
14.0ms
(+ (* x (+ y z)) (* z 5.0))

series64.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(* x (+ y z))
31.0ms
(+ (* x (+ y z)) (* z 5.0))

simplify126.0ms

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0227194
11011179
24711179
35001179

prune102.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* x (+ y z))) (cbrt (* x (+ y z))))
3.2b
(cbrt (* x (+ y z)))
3.2b
(cbrt (* x (+ y z)))
3.2b
(cbrt (* x (+ y z)))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
20×associate-*r/
18×cbrt-div
11×pow1
10×add-sqr-sqrt
9×flip3-+ pow1/3 flip-+
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×expm1-log1p-u frac-times swap-sqr associate-*r* associate-*l* add-cbrt-cube log1p-expm1-u add-log-exp
2×pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 80
Calls
4 calls:
23.0ms
(* (cbrt (* x (+ y z))) (cbrt (* x (+ y z))))
7.0ms
(cbrt (* x (+ y z)))
7.0ms
(cbrt (* x (+ y z)))
7.0ms
(cbrt (* x (+ y z)))

series499.0ms

Counts
4 → 12
Calls
4 calls:
152.0ms
(* (cbrt (* x (+ y z))) (cbrt (* x (+ y z))))
118.0ms
(cbrt (* x (+ y z)))
113.0ms
(cbrt (* x (+ y z)))
116.0ms
(cbrt (* x (+ y z)))

simplify71.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 3 (64.0ms)

IterNodesCost
0264622
1849571
22976514
35003504

prune286.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (+ (* x (+ y z)) (* z 5.0)))
0.5b
(cbrt (+ (* x (+ y z)) (* z 5.0)))
0.5b
(cbrt (+ (* x (+ y z)) (* z 5.0)))
0.5b
(* (cbrt (+ (* x (+ y z)) (* z 5.0))) (cbrt (+ (* x (+ y z)) (* z 5.0))))

rewrite116.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×flip3-+ pow1/3 flip-+
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 95
Calls
4 calls:
10.0ms
(cbrt (+ (* x (+ y z)) (* z 5.0)))
11.0ms
(cbrt (+ (* x (+ y z)) (* z 5.0)))
9.0ms
(cbrt (+ (* x (+ y z)) (* z 5.0)))
83.0ms
(* (cbrt (+ (* x (+ y z)) (* z 5.0))) (cbrt (+ (* x (+ y z)) (* z 5.0))))

series762.0ms

Counts
4 → 12
Calls
4 calls:
180.0ms
(cbrt (+ (* x (+ y z)) (* z 5.0)))
174.0ms
(cbrt (+ (* x (+ y z)) (* z 5.0)))
171.0ms
(cbrt (+ (* x (+ y z)) (* z 5.0)))
237.0ms
(* (cbrt (+ (* x (+ y z)) (* z 5.0))) (cbrt (+ (* x (+ y z)) (* z 5.0))))

simplify50.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
03371330
112251233
250011101

prune328.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ (* x (+ y z)) (* z 5.0))) (cbrt (+ (* x (+ y z)) (* z 5.0))))
0.6b
(cbrt (cbrt (+ (* x (+ y z)) (* z 5.0))))
0.6b
(cbrt (cbrt (+ (* x (+ y z)) (* z 5.0))))
0.6b
(cbrt (cbrt (+ (* x (+ y z)) (* z 5.0))))

rewrite118.0ms

Algorithm
rewrite-expression-head
Rules
43×cbrt-prod
26×add-sqr-sqrt
24×cbrt-div
18×add-cube-cbrt *-un-lft-identity
11×pow1
9×flip3-+ pow1/3 flip-+
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 104
Calls
4 calls:
83.0ms
(* (cbrt (+ (* x (+ y z)) (* z 5.0))) (cbrt (+ (* x (+ y z)) (* z 5.0))))
10.0ms
(cbrt (cbrt (+ (* x (+ y z)) (* z 5.0))))
11.0ms
(cbrt (cbrt (+ (* x (+ y z)) (* z 5.0))))
10.0ms
(cbrt (cbrt (+ (* x (+ y z)) (* z 5.0))))

series779.0ms

Counts
4 → 12
Calls
4 calls:
244.0ms
(* (cbrt (+ (* x (+ y z)) (* z 5.0))) (cbrt (+ (* x (+ y z)) (* z 5.0))))
175.0ms
(cbrt (cbrt (+ (* x (+ y z)) (* z 5.0))))
180.0ms
(cbrt (cbrt (+ (* x (+ y z)) (* z 5.0))))
179.0ms
(cbrt (cbrt (+ (* x (+ y z)) (* z 5.0))))

simplify52.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
03541522
112541444
250021317

prune390.0ms

Pruning

10 alts after pruning (6 fresh and 4 done)

Merged error: 0.0b

regimes185.0ms

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
0124
1124

end0.0ms

sample740.0ms

Algorithm
intervals
Results
434.0ms9765×body80valid
12.0ms122×body640valid
10.0ms109×body1280valid
4.0ms67×body320valid
1.0ms20×body160valid