Details

Time bar (total: 4.0s)

sample21.0ms

Algorithm
intervals
Results
10.0ms291×body80valid

simplify89.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
0164
1423
21092
35772
444382
550012

prune6.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 7.8b

Counts
2 → 2

localize4.0ms

Local error

Found 1 expressions with local error:

7.7b
(* x (/ y z))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
13×associate-*r*
10×times-frac
add-cube-cbrt *-un-lft-identity
add-exp-log add-cbrt-cube
pow1 associate-*l*
prod-exp cbrt-unprod unswap-sqr
cbrt-undiv expm1-log1p-u associate-*r/ div-exp pow-prod-down *-commutative log1p-expm1-u div-inv add-log-exp
Counts
1 → 34
Calls
1 calls:
7.0ms
(* x (/ y z))

series22.0ms

Counts
1 → 3
Calls
1 calls:
22.0ms
(* x (/ y z))

simplify77.0ms

Algorithm
egg-herbie
Counts
37 → 37
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0168139
1746124
23155124
35002124

prune87.0ms

Filtered
37 candidates to 26 candidates (70.3%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New29837
Fresh101
Picked011
Done000
Total30939

Merged error: 0.0b

Counts
39 → 9

localize8.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
6.0b
(* (* (* (cbrt y) (cbrt y)) x) (/ (cbrt y) z))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
25×add-exp-log
22×associate-*r*
20×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×cbrt-prod times-frac add-cbrt-cube
13×pow1
12×prod-exp cbrt-unprod
pow-prod-down
expm1-log1p-u log1p-expm1-u add-log-exp
cbrt-undiv pow1/3 div-exp
associate-*r/ associate-*l* *-commutative div-inv
Counts
4 → 88
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)
14.0ms
(* (* (* (cbrt y) (cbrt y)) x) (/ (cbrt y) z))

series623.0ms

Counts
4 → 12
Calls
4 calls:
194.0ms
(cbrt y)
189.0ms
(cbrt y)
189.0ms
(cbrt y)
51.0ms
(* (* (* (cbrt y) (cbrt y)) x) (/ (cbrt y) z))

simplify65.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
0360607
12037471
25002432

prune233.0ms

Filtered
100 candidates to 74 candidates (74.0%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New973100
Fresh167
Picked101
Done011
Total9910109

Merged error: 0.0b

Counts
109 → 10

localize8.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
1.2b
(* x (/ (cbrt y) z))
5.0b
(* (* (cbrt y) (cbrt y)) (* x (/ (cbrt y) z)))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
30×add-exp-log
28×add-sqr-sqrt
23×associate-*r*
21×add-cbrt-cube
20×add-cube-cbrt *-un-lft-identity times-frac
18×pow1
16×cbrt-prod
15×prod-exp cbrt-unprod
pow-prod-down
expm1-log1p-u associate-*l* log1p-expm1-u add-log-exp
cbrt-undiv associate-*r/ div-exp unswap-sqr
pow1/3 *-commutative
div-inv
Counts
4 → 99
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
12.0ms
(* x (/ (cbrt y) z))
12.0ms
(* (* (cbrt y) (cbrt y)) (* x (/ (cbrt y) z)))

series564.0ms

Counts
4 → 12
Calls
4 calls:
200.0ms
(cbrt y)
205.0ms
(cbrt y)
104.0ms
(* x (/ (cbrt y) z))
54.0ms
(* (* (cbrt y) (cbrt y)) (* x (/ (cbrt y) z)))

simplify58.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
0365619
11777502
25001468

prune238.0ms

Filtered
111 candidates to 83 candidates (74.8%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1101111
Fresh358
Picked101
Done011
Total1147121

Merged error: 0.0b

Counts
121 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)
6.2b
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
28×times-frac
25×add-exp-log
22×add-cube-cbrt *-un-lft-identity associate-*r*
20×cbrt-prod
18×add-cbrt-cube
prod-exp cbrt-unprod
cbrt-undiv div-exp associate-*l*
pow1 unswap-sqr
expm1-log1p-u log1p-expm1-u add-log-exp
pow1/3
div-inv
frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 100
Calls
4 calls:
1.0ms
(cbrt z)
2.0ms
(cbrt z)
1.0ms
(cbrt z)
15.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

series637.0ms

Counts
4 → 12
Calls
4 calls:
192.0ms
(cbrt z)
188.0ms
(cbrt z)
200.0ms
(cbrt z)
57.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

simplify77.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
0424748
12233609
25001570

prune254.0ms

Filtered
112 candidates to 89 candidates (79.5%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1120112
Fresh055
Picked011
Done011
Total1127119

Merged error: 0.0b

Counts
119 → 7

regimes268.0ms

Accuracy

86% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 5.4b

bsearch2.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03015
13015

end0.0ms

sample560.0ms

Algorithm
intervals
Results
323.0ms9543×body80valid