Details

Time bar (total: 5.1s)

sample43.0ms

Algorithm
intervals
Results
19.0ms283×body80valid
7.0ms96×body80nan

simplify14.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03518
16618
211618
314418
415918
516118
616118

prune3.0ms

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: 22.2b

Counts
2 → 1

localize116.0ms

Local error

Found 4 expressions with local error:

1.0b
(- (* b b) (* (* 4.0 a) c))
1.0b
(- (* b b) (* (* 4.0 a) c))
25.3b
(sqrt (- (* b b) (* (* 4.0 a) c)))
25.3b
(sqrt (- (* b b) (* (* 4.0 a) c)))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt add-log-exp
6×pow1 add-cube-cbrt *-un-lft-identity sqrt-prod
4×add-exp-log flip3-- sqrt-div add-cbrt-cube flip--
2×sub-neg rem-sqrt-square sqrt-pow1 pow1/2 diff-log
Counts
4 → 54
Calls
4 calls:
3.0ms
(- (* b b) (* (* 4.0 a) c))
4.0ms
(- (* b b) (* (* 4.0 a) c))
4.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
4.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

series229.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(- (* b b) (* (* 4.0 a) c))
44.0ms
(- (* b b) (* (* 4.0 a) c))
68.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
71.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

simplify85.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 3 (78.0ms)

IterNodesCost
0149476
1576446
22486444
35001440

prune240.0ms

Filtered
66 candidates to 50 candidates (75.8%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New60666
Fresh000
Picked101
Done000
Total61667

Merged error: 8.8b

Counts
67 → 6

localize116.0ms

Local error

Found 4 expressions with local error:

25.3b
(sqrt (* (* (cbrt (- (* b b) (* (* 4.0 a) c))) (cbrt (- (* b b) (* (* 4.0 a) c)))) (cbrt (- (* b b) (* (* 4.0 a) c)))))
26.2b
(cbrt (- (* b b) (* (* 4.0 a) c)))
26.2b
(cbrt (- (* b b) (* (* 4.0 a) c)))
26.2b
(cbrt (- (* b b) (* (* 4.0 a) c)))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
60×cbrt-div
30×flip3-- flip--
28×frac-times
26×sqrt-div
24×pow1
15×sqrt-pow1
14×associate-*l/
12×pow1/3
9×cbrt-prod pow-prod-up
8×associate-*r/
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×pow-plus
5×pow-prod-down
4×add-exp-log add-cbrt-cube add-log-exp
3×pow-sqr
2×pow2
1×pow1/2 pow3 sqrt-prod
Counts
4 → 89
Calls
4 calls:
16.0ms
(sqrt (* (* (cbrt (- (* b b) (* (* 4.0 a) c))) (cbrt (- (* b b) (* (* 4.0 a) c)))) (cbrt (- (* b b) (* (* 4.0 a) c)))))
4.0ms
(cbrt (- (* b b) (* (* 4.0 a) c)))
4.0ms
(cbrt (- (* b b) (* (* 4.0 a) c)))
4.0ms
(cbrt (- (* b b) (* (* 4.0 a) c)))

series353.0ms

Counts
4 → 12
Calls
4 calls:
66.0ms
(sqrt (* (* (cbrt (- (* b b) (* (* 4.0 a) c))) (cbrt (- (* b b) (* (* 4.0 a) c)))) (cbrt (- (* b b) (* (* 4.0 a) c)))))
96.0ms
(cbrt (- (* b b) (* (* 4.0 a) c)))
94.0ms
(cbrt (- (* b b) (* (* 4.0 a) c)))
97.0ms
(cbrt (- (* b b) (* (* 4.0 a) c)))

simplify189.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 3 (168.0ms)

IterNodesCost
03481856
19131805
241361785
350021704

prune353.0ms

Filtered
101 candidates to 65 candidates (64.4%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1010101
Fresh055
Picked011
Done000
Total1016107

Merged error: 8.8b

Counts
107 → 6

localize115.0ms

Local error

Found 4 expressions with local error:

25.3b
(sqrt (- (* b b) (* (* 4.0 a) c)))
26.2b
(cbrt (- (* b b) (* (* 4.0 a) c)))
26.2b
(cbrt (- (* b b) (* (* 4.0 a) c)))
26.2b
(cbrt (- (* b b) (* (* 4.0 a) c)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
9×cbrt-prod add-sqr-sqrt
8×add-cube-cbrt *-un-lft-identity
6×cbrt-div
5×pow1
4×add-exp-log flip3-- add-cbrt-cube flip-- add-log-exp
3×pow1/3 sqrt-prod
2×sqrt-div
1×rem-sqrt-square sqrt-pow1 pow1/2
Counts
4 → 54
Calls
4 calls:
3.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
4.0ms
(cbrt (- (* b b) (* (* 4.0 a) c)))
8.0ms
(cbrt (- (* b b) (* (* 4.0 a) c)))
4.0ms
(cbrt (- (* b b) (* (* 4.0 a) c)))

series345.0ms

Counts
4 → 12
Calls
4 calls:
68.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
92.0ms
(cbrt (- (* b b) (* (* 4.0 a) c)))
92.0ms
(cbrt (- (* b b) (* (* 4.0 a) c)))
93.0ms
(cbrt (- (* b b) (* (* 4.0 a) c)))

simplify78.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 3 (70.0ms)

IterNodesCost
0202609
1639571
22437564
35001562

prune312.0ms

Filtered
66 candidates to 60 candidates (90.9%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New64266
Fresh044
Picked011
Done011
Total64872

Merged error: 8.8b

Counts
72 → 8

localize123.0ms

Local error

Found 4 expressions with local error:

26.2b
(cbrt (- (* b b) (* (* 4.0 a) c)))
26.2b
(cbrt (- (* b b) (* (* 4.0 a) c)))
26.2b
(cbrt (- (* b b) (* (* 4.0 a) c)))
26.2b
(cbrt (- (* b b) (* (* 4.0 a) c)))

rewrite16.0ms

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:
4.0ms
(cbrt (- (* b b) (* (* 4.0 a) c)))
4.0ms
(cbrt (- (* b b) (* (* 4.0 a) c)))
4.0ms
(cbrt (- (* b b) (* (* 4.0 a) c)))
4.0ms
(cbrt (- (* b b) (* (* 4.0 a) c)))

series390.0ms

Counts
4 → 12
Calls
4 calls:
100.0ms
(cbrt (- (* b b) (* (* 4.0 a) c)))
97.0ms
(cbrt (- (* b b) (* (* 4.0 a) c)))
96.0ms
(cbrt (- (* b b) (* (* 4.0 a) c)))
97.0ms
(cbrt (- (* b b) (* (* 4.0 a) c)))

simplify70.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 2 (15.0ms)

IterNodesCost
0153632
1509588
22023580
35001580

prune362.0ms

Filtered
64 candidates to 60 candidates (93.8%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New64064
Fresh055
Picked011
Done022
Total64872

Merged error: 8.8b

Counts
72 → 8

regimes207.0ms

Accuracy

87.1% (1.6b remaining)

Error of 9.1b against oracle of 7.5b and baseline of 19.8b

bsearch160.0ms

Steps
ItersRangePoint
7
0.008549975533169097
1.4731263457460937
1.4443031837246074
7
-1.573165836586651e+155
-6.856469880078083e+152
-1.35463732932136e+154

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05265
15265

end0.0ms

sample1.1s

Algorithm
intervals
Results
645.0ms8727×body80valid
204.0ms2883×body80nan