Details

Time bar (total: 2.1s)

analyze263.0ms

Algorithm
search

sample28.0ms

Algorithm
intervals
Results
10.0ms256×body80valid
1.0ms19×body80invalid

simplify13.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0113
1243
2463
3713
4793
5793

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 2.6b

Counts
2 → 1

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite10.0ms

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:
9.0ms
(* x (- 1.0 (* y z)))

series16.0ms

Counts
1 → 3
Calls
1 calls:
16.0ms
(* x (- 1.0 (* y z)))

simplify69.0ms

Algorithm
egg-herbie
Counts
27 → 27
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0122127
1493111
21989111
35001111

prune47.0ms

Filtered
17 candidates to 27 candidates (-58.8%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New21627
Fresh000
Picked101
Done000
Total22628

Merged error: 2.5b

Counts
28 → 6

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x 1.0) (* x (neg (* y z))))
4.9b
(* x (neg (* y z)))

rewrite8.0ms

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))))
4.0ms
(* x (neg (* y z)))

series15.0ms

Counts
2 → 6
Calls
2 calls:
9.0ms
(+ (* x 1.0) (* x (neg (* y z))))
6.0ms
(* x (neg (* y z)))

simplify42.0ms

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0181204
11018178
25001174

prune59.0ms

Filtered
33 candidates to 42 candidates (-27.3%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New39342
Fresh325
Picked011
Done000
Total42648

Merged error: 0.0b

Counts
48 → 6

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
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:
3.0ms
(+ (* x 1.0) (* (* x (neg y)) z))
5.0ms
(* (* x (neg y)) z)

series17.0ms

Counts
2 → 6
Calls
2 calls:
11.0ms
(+ (* x 1.0) (* (* x (neg y)) z))
6.0ms
(* (* x (neg y)) z)

simplify36.0ms

Algorithm
egg-herbie
Counts
38 → 38
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0203197
1955172
25001160

prune52.0ms

Filtered
28 candidates to 38 candidates (-35.7%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New37138
Fresh044
Picked011
Done011
Total37744

Merged error: 0.0b

Counts
44 → 7

localize7.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* x (sqrt (- 1.0 (* y z)))) (sqrt (- 1.0 (* y z))))
0.1b
(* x (sqrt (- 1.0 (* y z))))
1.7b
(sqrt (- 1.0 (* y z)))
1.7b
(sqrt (- 1.0 (* y z)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
18×sqrt-div
17×add-sqr-sqrt
13×pow1 sqrt-prod
12×associate-*r*
11×add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
10×associate-*r/
9×flip3-- flip--
4×frac-times associate-*l* pow-prod-down prod-exp cbrt-unprod add-log-exp
2×rem-sqrt-square sqrt-pow1 pow1/2 associate-*l/ *-commutative unswap-sqr
Counts
4 → 83
Calls
4 calls:
9.0ms
(* (* x (sqrt (- 1.0 (* y z)))) (sqrt (- 1.0 (* y z))))
6.0ms
(* x (sqrt (- 1.0 (* y z))))
2.0ms
(sqrt (- 1.0 (* y z)))
2.0ms
(sqrt (- 1.0 (* y z)))

series51.0ms

Counts
4 → 12
Calls
4 calls:
11.0ms
(* (* x (sqrt (- 1.0 (* y z)))) (sqrt (- 1.0 (* y z))))
16.0ms
(* x (sqrt (- 1.0 (* y z))))
12.0ms
(sqrt (- 1.0 (* y z)))
12.0ms
(sqrt (- 1.0 (* y z)))

simplify44.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0346714
11538637
25002631

prune130.0ms

Filtered
68 candidates to 95 candidates (-39.7%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New94195
Fresh044
Picked011
Done022
Total948102

Merged error: 0.0b

Counts
102 → 8

regimes457.0ms

Accuracy

50.1% (1.7b remaining)

Error of 1.7b against oracle of 0.0b and baseline of 3.4b

bsearch2.0ms

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03011
14311
24711
34711

end0.0ms

analyze248.0ms

Algorithm
search

sample377.0ms

Algorithm
intervals
Results
200.0ms8000×body80valid
13.0ms565×body80invalid

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