Details

Time bar (total: 8.1s)

analyze1.6s

Algorithm
search

sample54.0ms

Algorithm
intervals
Results
14.0ms256×body80valid
12.0ms219×body80invalid

simplify194.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0329
1779
22309
37359
419209
529949
633889
740789
850019

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 6.8b

Counts
2 → 1

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x y) (* z t))
0.0b
(+ a (* b c))
0.1b
(* (+ a (* b c)) c)
8.7b
(* (* (+ a (* b c)) c) i)

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1 add-exp-log add-cbrt-cube
9×add-sqr-sqrt
8×add-log-exp
7×add-cube-cbrt *-un-lft-identity
6×associate-*r* associate-*l/
4×flip3-+ associate-*l* pow-prod-down prod-exp cbrt-unprod flip-+
2×+-commutative sum-log *-commutative
1×unswap-sqr
Counts
4 → 62
Calls
4 calls:
3.0ms
(+ (* x y) (* z t))
3.0ms
(+ a (* b c))
5.0ms
(* (+ a (* b c)) c)
10.0ms
(* (* (+ a (* b c)) c) i)

series43.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(+ (* x y) (* z t))
6.0ms
(+ a (* b c))
11.0ms
(* (+ a (* b c)) c)
17.0ms
(* (* (+ a (* b c)) c) i)

simplify47.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0317375
11380320
25001316

prune117.0ms

Filtered
53 candidates to 74 candidates (-39.6%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New67774
Fresh000
Picked011
Done000
Total67875

Merged error: 1.5b

Counts
75 → 8

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x y) (* z t))
0.0b
(+ a (* b c))
7.8b
(* (+ a (* b c)) (* c i))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
8×pow1 add-exp-log add-cbrt-cube
7×add-log-exp
4×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
3×flip3-+ associate-*l* pow-prod-down prod-exp cbrt-unprod flip-+
2×+-commutative associate-*l/ sum-log
1×associate-*r* *-commutative
Counts
3 → 42
Calls
3 calls:
3.0ms
(+ (* x y) (* z t))
2.0ms
(+ a (* b c))
8.0ms
(* (+ a (* b c)) (* c i))

series32.0ms

Counts
3 → 9
Calls
3 calls:
10.0ms
(+ (* x y) (* z t))
6.0ms
(+ a (* b c))
16.0ms
(* (+ a (* b c)) (* c i))

simplify131.0ms

Algorithm
egg-herbie
Counts
51 → 51
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0278266
11058227
24533223
35001223

prune93.0ms

Filtered
35 candidates to 51 candidates (-45.7%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New47451
Fresh336
Picked011
Done011
Total50959

Merged error: 1.5b

Counts
59 → 9

localize18.0ms

Local error

Found 4 expressions with local error:

2.3b
(cbrt (+ a (* b c)))
2.3b
(cbrt (+ a (* b c)))
2.3b
(cbrt (+ a (* b c)))
7.8b
(* (* (* (cbrt (+ a (* b c))) (cbrt (+ a (* b c)))) (cbrt (+ a (* b c)))) (* c i))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
60×cbrt-div
40×associate-*l/
30×flip3-+ flip-+
28×frac-times
25×pow1 add-exp-log
17×add-cbrt-cube
15×pow-prod-down prod-exp cbrt-unprod
9×cbrt-prod
8×associate-*r/
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×add-log-exp
3×pow1/3
1×associate-*r* associate-*l* *-commutative
Counts
4 → 93
Calls
4 calls:
2.0ms
(cbrt (+ a (* b c)))
2.0ms
(cbrt (+ a (* b c)))
2.0ms
(cbrt (+ a (* b c)))
19.0ms
(* (* (* (cbrt (+ a (* b c))) (cbrt (+ a (* b c)))) (cbrt (+ a (* b c)))) (* c i))

series99.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(cbrt (+ a (* b c)))
27.0ms
(cbrt (+ a (* b c)))
29.0ms
(cbrt (+ a (* b c)))
17.0ms
(* (* (* (cbrt (+ a (* b c))) (cbrt (+ a (* b c)))) (cbrt (+ a (* b c)))) (* c i))

simplify56.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
05471364
118131103
250011013

prune136.0ms

Filtered
66 candidates to 105 candidates (-59.1%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New1050105
Fresh066
Picked011
Done022
Total1059114

Merged error: 1.5b

Counts
114 → 9

localize18.0ms

Local error

Found 4 expressions with local error:

8.7b
(* (* (* (cbrt (* (+ a (* b c)) c)) (cbrt (* (+ a (* b c)) c))) (cbrt (* (+ a (* b c)) c))) i)
13.4b
(cbrt (* (+ a (* b c)) c))
13.4b
(cbrt (* (+ a (* b c)) c))
13.4b
(cbrt (* (+ a (* b c)) c))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
100×associate-*l/
60×cbrt-div
30×flip3-+ flip-+
28×frac-times
13×pow1 add-exp-log
9×add-cbrt-cube
8×associate-*r/
6×pow-prod-down prod-exp cbrt-unprod
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×add-log-exp
3×cbrt-prod pow1/3 associate-*r*
1×associate-*l* *-commutative
Counts
4 → 80
Calls
4 calls:
15.0ms
(* (* (* (cbrt (* (+ a (* b c)) c)) (cbrt (* (+ a (* b c)) c))) (cbrt (* (+ a (* b c)) c))) i)
4.0ms
(cbrt (* (+ a (* b c)) c))
4.0ms
(cbrt (* (+ a (* b c)) c))
4.0ms
(cbrt (* (+ a (* b c)) c))

series132.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(* (* (* (cbrt (* (+ a (* b c)) c)) (cbrt (* (+ a (* b c)) c))) (cbrt (* (+ a (* b c)) c))) i)
37.0ms
(cbrt (* (+ a (* b c)) c))
37.0ms
(cbrt (* (+ a (* b c)) c))
35.0ms
(cbrt (* (+ a (* b c)) c))

simplify51.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
04651325
114561148
250011036

prune113.0ms

Filtered
66 candidates to 92 candidates (-39.4%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New91192
Fresh055
Picked101
Done033
Total929101

Merged error: 1.5b

Counts
101 → 9

regimes1.9s

Accuracy

0% (1.0b remaining)

Error of 1.8b against oracle of 0.9b and baseline of 1.8b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0269
1269

end0.0ms

analyze1.6s

Algorithm
search

sample1.5s

Algorithm
intervals
Results
481.0ms8000×body80valid
415.0ms7159×body80invalid

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