Details

Time bar (total: 4.4s)

sample17.0ms

Algorithm
intervals
Results
7.0ms316×body80valid

simplify11.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0113
1243
2463
3713
4793
5793

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.9b

localize8.0ms

Local error

Found 1 expressions with local error:

4.6b
(* x (- 1.0 (* y z)))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt
3×pow1 add-exp-log add-cube-cbrt *-un-lft-identity associate-*r* associate-*l* add-cbrt-cube
2×distribute-rgt-in sub-neg distribute-lft-in associate-*r/
1×flip3-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod add-log-exp unswap-sqr
Counts
1 → 24
Calls
1 calls:
5.0ms
(* x (- 1.0 (* y z)))

series49.0ms

Counts
1 → 3
Calls
1 calls:
49.0ms
(* x (- 1.0 (* y z)))

simplify58.0ms

Algorithm
egg-herbie
Counts
27 → 27
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0122127
1493111
21989111
35001111

prune56.0ms

Filtered
27 candidates to 17 candidates (63.0%)
Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 4.7b

localize9.0ms

Local error

Found 4 expressions with local error:

0.8b
(* x (* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z)))))
4.7b
(cbrt (- 1.0 (* y z)))
4.7b
(cbrt (- 1.0 (* y z)))
4.7b
(cbrt (- 1.0 (* y z)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-div
10×associate-*r/
9×pow1 add-exp-log cbrt-prod add-sqr-sqrt flip3-- flip--
8×add-cube-cbrt *-un-lft-identity
7×add-cbrt-cube
4×frac-times add-log-exp
3×pow1/3 associate-*l* pow-prod-down prod-exp cbrt-unprod
2×associate-*l/
1×associate-*r* *-commutative unswap-sqr
Counts
4 → 66
Calls
4 calls:
15.0ms
(* x (* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z)))))
2.0ms
(cbrt (- 1.0 (* y z)))
2.0ms
(cbrt (- 1.0 (* y z)))
2.0ms
(cbrt (- 1.0 (* y z)))

series823.0ms

Counts
4 → 12
Calls
4 calls:
98.0ms
(* x (* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z)))))
239.0ms
(cbrt (- 1.0 (* y z)))
246.0ms
(cbrt (- 1.0 (* y z)))
240.0ms
(cbrt (- 1.0 (* y z)))

simplify110.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0340830
11061774
24437756
35002756

prune267.0ms

Filtered
78 candidates to 66 candidates (84.6%)
Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 4.7b

localize8.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
2.4b
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- 1.0 (* y z))))
2.4b
(* (cbrt x) (- 1.0 (* y z)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
18×pow1 add-exp-log
13×add-sqr-sqrt
11×add-cbrt-cube
10×cbrt-prod distribute-rgt-in distribute-lft-in
9×add-cube-cbrt *-un-lft-identity pow-prod-down prod-exp cbrt-unprod
7×associate-*l*
6×sub-neg associate-*r/
4×associate-*r* add-log-exp
2×flip3-- pow1/3 *-commutative flip-- unswap-sqr
Counts
4 → 82
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
11.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- 1.0 (* y z))))
6.0ms
(* (cbrt x) (- 1.0 (* y z)))

series628.0ms

Counts
4 → 12
Calls
4 calls:
181.0ms
(cbrt x)
186.0ms
(cbrt x)
71.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- 1.0 (* y z))))
190.0ms
(* (cbrt x) (- 1.0 (* y z)))

simplify47.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0298655
11300490
25001423

prune379.0ms

Filtered
94 candidates to 58 candidates (61.7%)
Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 4.7b

localize15.0ms

Local error

Found 4 expressions with local error:

0.8b
(* (cbrt x) (* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z)))))
4.7b
(cbrt (- 1.0 (* y z)))
4.7b
(cbrt (- 1.0 (* y z)))
4.7b
(cbrt (- 1.0 (* y z)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-div
13×cbrt-prod
11×add-sqr-sqrt
10×associate-*r/
9×pow1 add-exp-log add-cube-cbrt flip3-- *-un-lft-identity flip--
6×pow1/3 associate-*l*
5×pow-prod-down add-cbrt-cube
4×frac-times add-log-exp
3×prod-exp cbrt-unprod
2×associate-*l/ unswap-sqr
1×associate-*r* *-commutative
Counts
4 → 71
Calls
4 calls:
12.0ms
(* (cbrt x) (* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z)))))
2.0ms
(cbrt (- 1.0 (* y z)))
2.0ms
(cbrt (- 1.0 (* y z)))
2.0ms
(cbrt (- 1.0 (* y z)))

series825.0ms

Counts
4 → 12
Calls
4 calls:
132.0ms
(* (cbrt x) (* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z)))))
234.0ms
(cbrt (- 1.0 (* y z)))
233.0ms
(cbrt (- 1.0 (* y z)))
226.0ms
(cbrt (- 1.0 (* y z)))

simplify113.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0367910
11105855
24521840
35001840

prune287.0ms

Filtered
83 candidates to 72 candidates (86.7%)
Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 4.7b

regimes222.0ms

Accuracy

0% (0.1b remaining)

Error of 3.4b against oracle of 3.2b and baseline of 3.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
093
193

end0.0ms

sample382.0ms

Algorithm
intervals
Results
190.0ms9583×body80valid