Details

Time bar (total: 1.8s)

sample19.0ms

Algorithm
intervals
Results
7.0ms299×body80valid

simplify11.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0113
1243
2463
3713
4793
5793

prune3.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 4.6b

Counts
2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(- 1.0 (* y z))
4.4b
(* x (- 1.0 (* y z)))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
3×sub-neg associate-*r* associate-*l*
2×distribute-rgt-in flip3-- distribute-lft-in associate-*r/ flip--
1×diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 36
Calls
2 calls:
2.0ms
(- 1.0 (* y z))
5.0ms
(* x (- 1.0 (* y z)))

series13.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(- 1.0 (* y z))
9.0ms
(* x (- 1.0 (* y z)))

simplify60.0ms

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0143187
1560166
22091166
35003166

prune88.0ms

Filtered
42 candidates to 28 candidates (33.3%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New321042
Fresh000
Picked101
Done000
Total331043

Merged error: 4.4b

Counts
43 → 10

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x 1.0) (* x (neg (* y z))))
6.1b
(* x (neg (* y z)))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt associate-*r*
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
3×associate-*l* distribute-rgt-neg-out
1×+-commutative distribute-lft-neg-in neg-mul-1 distribute-rgt-neg-in flip3-+ unsub-neg pow-prod-down prod-exp sum-log *-commutative cbrt-unprod flip-+ distribute-lft-out unswap-sqr
Counts
2 → 36
Calls
2 calls:
3.0ms
(+ (* x 1.0) (* x (neg (* y z))))
5.0ms
(* x (neg (* y z)))

series16.0ms

Counts
2 → 6
Calls
2 calls:
10.0ms
(+ (* x 1.0) (* x (neg (* y z))))
6.0ms
(* x (neg (* y z)))

simplify44.0ms

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0181204
11018178
25001174

prune61.0ms

Filtered
42 candidates to 32 candidates (23.8%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New41142
Fresh549
Picked011
Done000
Total46652

Merged error: 0.0b

Counts
52 → 6

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x 1.0) (* (* x (neg y)) z))
6.2b
(* (* x (neg y)) z)

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
4×add-log-exp
3×distribute-lft-neg-out add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*r* pow-prod-down prod-exp distribute-rgt-neg-out cbrt-unprod
1×+-commutative flip3-+ associate-*l* unsub-neg sum-log *-commutative flip-+
Counts
2 → 32
Calls
2 calls:
5.0ms
(+ (* x 1.0) (* (* x (neg y)) z))
5.0ms
(* (* x (neg y)) z)

series16.0ms

Counts
2 → 6
Calls
2 calls:
10.0ms
(+ (* x 1.0) (* (* x (neg y)) z))
7.0ms
(* (* x (neg y)) z)

simplify42.0ms

Algorithm
egg-herbie
Counts
38 → 38
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0203197
1955172
25001160

prune60.0ms

Filtered
38 candidates to 28 candidates (26.3%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New36238
Fresh044
Picked011
Done011
Total36844

Merged error: 0.0b

Counts
44 → 8

localize9.0ms

Local error

Found 4 expressions with local error:

0.7b
(cbrt x)
0.7b
(cbrt x)
2.2b
(* (cbrt x) (- 1.0 (* y z)))
2.4b
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- 1.0 (* y z))))

rewrite20.0ms

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)
5.0ms
(* (cbrt x) (- 1.0 (* y z)))
10.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- 1.0 (* y z))))

series98.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(cbrt x)
21.0ms
(cbrt x)
41.0ms
(* (cbrt x) (- 1.0 (* y z)))
13.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- 1.0 (* y z))))

simplify41.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0323701
11294536
25001439

prune78.0ms

Filtered
94 candidates to 59 candidates (37.2%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New94094
Fresh055
Picked011
Done022
Total948102

Merged error: 0.0b

Counts
102 → 8

regimes521.0ms

Accuracy

95.9% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 3.3b

bsearch0.0ms

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03612
14912
25312
35312

end0.0ms

sample500.0ms

Algorithm
intervals
Results
236.0ms9546×body80valid

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