Details

Time bar (total: 3.6s)

sample17.0ms

Algorithm
intervals
Results
7.0ms315×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

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 3.9b

Counts
2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

3.6b
(* 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)))

series50.0ms

Counts
1 → 3
Calls
1 calls:
50.0ms
(* x (- 1.0 (* y z)))

simplify54.0ms

Algorithm
egg-herbie
Counts
27 → 27
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0122127
1493111
21989111
35001111

prune54.0ms

Filtered
27 candidates to 17 candidates (63.0%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New19827
Fresh000
Picked011
Done000
Total19928

Merged error: 3.7b

Counts
28 → 9

localize9.0ms

Local error

Found 4 expressions with local error:

0.3b
(* x (* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z)))))
3.8b
(cbrt (- 1.0 (* y z)))
3.8b
(cbrt (- 1.0 (* y z)))
3.8b
(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×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:
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)))

series756.0ms

Counts
4 → 12
Calls
4 calls:
93.0ms
(* x (* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z)))))
223.0ms
(cbrt (- 1.0 (* y z)))
218.0ms
(cbrt (- 1.0 (* y z)))
222.0ms
(cbrt (- 1.0 (* y z)))

simplify113.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0340830
11061774
24437756
35001756

prune225.0ms

Filtered
78 candidates to 66 candidates (84.6%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New76278
Fresh167
Picked011
Done011
Total771087

Merged error: 3.7b

Counts
87 → 10

localize16.0ms

Local error

Found 4 expressions with local error:

3.8b
(cbrt (- 1.0 (* y z)))
3.8b
(cbrt (- 1.0 (* y z)))
3.8b
(cbrt (- 1.0 (* y z)))
3.8b
(cbrt (- 1.0 (* y z)))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt cbrt-div *-un-lft-identity
4×pow1 add-exp-log flip3-- pow1/3 add-cbrt-cube flip-- add-log-exp
Counts
4 → 52
Calls
4 calls:
2.0ms
(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)))

series896.0ms

Counts
4 → 12
Calls
4 calls:
230.0ms
(cbrt (- 1.0 (* y z)))
222.0ms
(cbrt (- 1.0 (* y z)))
220.0ms
(cbrt (- 1.0 (* y z)))
223.0ms
(cbrt (- 1.0 (* y z)))

simplify82.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 2 (19.0ms)

IterNodesCost
0196696
1674668
23120660
35002660

prune262.0ms

Filtered
64 candidates to 60 candidates (93.8%)
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New64064
Fresh077
Picked011
Done022
Total641074

Merged error: 3.7b

Counts
74 → 10

localize9.0ms

Local error

Found 3 expressions with local error:

0.2b
(* (* y z) (* y z))
4.0b
(* x (- (* 1.0 1.0) (* (* y z) (* y z))))
8.8b
(/ (* x (- (* 1.0 1.0) (* (* y z) (* y z)))) (+ 1.0 (* y z)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
44×pow1
22×add-exp-log add-cbrt-cube
18×pow-prod-down
10×prod-exp cbrt-unprod
9×add-sqr-sqrt
7×add-cube-cbrt *-un-lft-identity
5×associate-*r*
4×associate-*r/ associate-*l* pow-sqr pow-prod-up
3×times-frac associate-/r* add-log-exp
2×cbrt-undiv distribute-rgt-in sub-neg flip3-- distribute-lft-in pow-plus div-exp associate-/r/ *-commutative flip-- associate-/l/
1×pow2 frac-2neg flip3-+ swap-sqr clear-num flip-+ div-inv associate-/l* difference-of-squares unswap-sqr
Counts
3 → 84
Calls
3 calls:
6.0ms
(* (* y z) (* y z))
6.0ms
(* x (- (* 1.0 1.0) (* (* y z) (* y z))))
8.0ms
(/ (* x (- (* 1.0 1.0) (* (* y z) (* y z)))) (+ 1.0 (* y z)))

series245.0ms

Counts
3 → 9
Calls
3 calls:
28.0ms
(* (* y z) (* y z))
101.0ms
(* x (- (* 1.0 1.0) (* (* y z) (* y z))))
115.0ms
(/ (* x (- (* 1.0 1.0) (* (* y z) (* y z)))) (+ 1.0 (* y z)))

simplify62.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0381650
12050526
25001526

prune121.0ms

Filtered
93 candidates to 50 candidates (53.8%)
Pruning

11 alts after pruning (7 fresh and 4 done)

PrunedKeptTotal
New92193
Fresh066
Picked011
Done033
Total9211103

Merged error: 3.7b

Counts
103 → 11

regimes197.0ms

Accuracy

0% (0.1b remaining)

Error of 3.2b against oracle of 3.1b and baseline of 3.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
093
193

end0.0ms

sample401.0ms

Algorithm
intervals
Results
217.0ms9532×body80valid

Profiling

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