Details

Time bar (total: 3.4s)

sample18.0ms

Algorithm
intervals
Results
9.0ms294×body80valid

simplify10.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0113
1243
2523
3883
41023
51023

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 2.9b

Counts
2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

2.7b
(* x (- 1.0 (* y z)))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt
6×prod-diff
5×distribute-rgt-in add-cube-cbrt *-un-lft-identity distribute-lft-in
3×pow1 add-exp-log associate-*r* associate-*l* add-cbrt-cube
2×sub-neg associate-*r/
1×expm1-log1p-u flip3-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod log1p-expm1-u add-log-exp unswap-sqr
Counts
1 → 32
Calls
1 calls:
5.0ms
(* x (- 1.0 (* y z)))

series57.0ms

Counts
1 → 3
Calls
1 calls:
57.0ms
(* x (- 1.0 (* y z)))

simplify80.0ms

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 3 (75.0ms)

IterNodesCost
0151195
1598171
22506166
35003160

prune65.0ms

Filtered
35 candidates to 20 candidates (57.1%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New27835
Fresh000
Picked101
Done000
Total28836

Merged error: 2.7b

Counts
36 → 8

localize10.0ms

Local error

Found 2 expressions with local error:

2.7b
(* x (- 1.0 (* y z)))
52.3b
(fma (- z) y (* z y))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt
6×add-cube-cbrt *-un-lft-identity prod-diff
5×distribute-rgt-in distribute-lft-in
4×pow1 add-exp-log add-cbrt-cube
3×associate-*r* associate-*l*
2×expm1-log1p-u sub-neg associate-*r/ log1p-expm1-u add-log-exp
1×flip3-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod fma-udef unswap-sqr
Counts
2 → 42
Calls
2 calls:
5.0ms
(* x (- 1.0 (* y z)))
1.0ms
(fma (- z) y (* z y))

series74.0ms

Counts
2 → 6
Calls
2 calls:
50.0ms
(* x (- 1.0 (* y z)))
25.0ms
(fma (- z) y (* z y))

simplify72.0ms

Algorithm
egg-herbie
Counts
48 → 48
Iterations

Useful iterations: 3 (67.0ms)

IterNodesCost
0161245
1636214
22643209
35001198

prune85.0ms

Filtered
48 candidates to 31 candidates (64.6%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New48048
Fresh077
Picked011
Done000
Total48856

Merged error: 2.7b

Counts
56 → 8

localize8.0ms

Local error

Found 4 expressions with local error:

0.4b
(* x (* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z)))))
2.9b
(cbrt (- 1.0 (* y z)))
2.9b
(cbrt (- 1.0 (* y z)))
2.9b
(cbrt (- 1.0 (* y z)))

rewrite19.0ms

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×expm1-log1p-u frac-times log1p-expm1-u 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 → 74
Calls
4 calls:
10.0ms
(* 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)))

series774.0ms

Counts
4 → 12
Calls
4 calls:
92.0ms
(* x (* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z)))))
221.0ms
(cbrt (- 1.0 (* y z)))
233.0ms
(cbrt (- 1.0 (* y z)))
227.0ms
(cbrt (- 1.0 (* y z)))

simplify109.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 3 (100.0ms)

IterNodesCost
0352870
11111811
24676795
35001783

prune234.0ms

Filtered
86 candidates to 74 candidates (86.0%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New82486
Fresh156
Picked101
Done011
Total841094

Merged error: 2.7b

Counts
94 → 10

localize8.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* (* x (cbrt (- 1.0 (* y z)))) (cbrt (- 1.0 (* y z)))) (cbrt (- 1.0 (* y z))))
2.9b
(cbrt (- 1.0 (* y z)))
2.9b
(cbrt (- 1.0 (* y z)))
2.9b
(cbrt (- 1.0 (* y z)))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
60×cbrt-div
30×flip3-- flip--
28×frac-times
26×associate-*r/
14×associate-*l/
13×pow1 add-exp-log
12×cbrt-prod
9×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
7×add-cbrt-cube
6×associate-*r* pow-prod-down prod-exp cbrt-unprod
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3
1×associate-*l* *-commutative
Counts
4 → 97
Calls
4 calls:
18.0ms
(* (* (* x (cbrt (- 1.0 (* y z)))) (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)))

series721.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(* (* (* x (cbrt (- 1.0 (* y z)))) (cbrt (- 1.0 (* y z)))) (cbrt (- 1.0 (* y z))))
221.0ms
(cbrt (- 1.0 (* y z)))
230.0ms
(cbrt (- 1.0 (* y z)))
217.0ms
(cbrt (- 1.0 (* y z)))

simplify60.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
04641643
116781523
250011419

prune239.0ms

Filtered
109 candidates to 80 candidates (73.4%)
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New1072109
Fresh178
Picked011
Done011
Total10811119

Merged error: 2.7b

Counts
119 → 11

regimes280.0ms

Accuracy

0% (0.1b remaining)

Error of 3.3b against oracle of 3.2b and baseline of 3.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0158
1158

end0.0ms

sample421.0ms

Algorithm
intervals
Results
234.0ms9599×body80valid