Details

Time bar (total: 10.4s)

analyze1.7s

Algorithm
search

sample61.0ms

Algorithm
intervals
Results
16.0ms256×body80valid
14.0ms237×body80invalid

simplify193.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0329
1779
22309
37359
419209
529949
633889
740789
850019

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 5.6b

Counts
2 → 1

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (+ (* x y) (* z t)) (* (* (+ a (* b c)) c) i))
0.0b
(+ (* x y) (* z t))
0.1b
(* (+ a (* b c)) c)
7.5b
(* (* (+ a (* b c)) c) i)

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
14×associate-*l/
11×pow1 add-exp-log add-cbrt-cube add-log-exp
9×add-sqr-sqrt
7×add-cube-cbrt *-un-lft-identity flip3-+ flip-+
6×associate-*r*
4×associate-*l* pow-prod-down prod-exp frac-sub cbrt-unprod
2×diff-log sum-log *-commutative
1×+-commutative sub-neg flip3-- associate--l+ flip-- unswap-sqr
Counts
4 → 69
Calls
4 calls:
6.0ms
(- (+ (* x y) (* z t)) (* (* (+ a (* b c)) c) i))
3.0ms
(+ (* x y) (* z t))
5.0ms
(* (+ a (* b c)) c)
6.0ms
(* (* (+ a (* b c)) c) i)

series374.0ms

Counts
4 → 12
Calls
4 calls:
337.0ms
(- (+ (* x y) (* z t)) (* (* (+ a (* b c)) c) i))
9.0ms
(+ (* x y) (* z t))
11.0ms
(* (+ a (* b c)) c)
17.0ms
(* (* (+ a (* b c)) c) i)

simplify61.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0436655
12076599
25003591

prune176.0ms

Filtered
59 candidates to 81 candidates (-37.3%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New711081
Fresh000
Picked101
Done000
Total721082

Merged error: 1.5b

Counts
82 → 10

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (+ (* x y) (* z t)) (* (+ a (* b c)) (* c i)))
0.0b
(+ (* x y) (* z t))
6.1b
(* (+ a (* b c)) (* c i))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
10×add-log-exp
8×pow1 add-exp-log add-cbrt-cube
6×flip3-+ associate-*l/ flip-+
4×add-sqr-sqrt add-cube-cbrt *-un-lft-identity frac-sub
3×associate-*l* pow-prod-down prod-exp cbrt-unprod
2×diff-log sum-log
1×+-commutative sub-neg flip3-- associate-*r* associate--l+ *-commutative flip--
Counts
3 → 49
Calls
3 calls:
7.0ms
(- (+ (* x y) (* z t)) (* (+ a (* b c)) (* c i)))
3.0ms
(+ (* x y) (* z t))
6.0ms
(* (+ a (* b c)) (* c i))

series390.0ms

Counts
3 → 9
Calls
3 calls:
364.0ms
(- (+ (* x y) (* z t)) (* (+ a (* b c)) (* c i)))
9.0ms
(+ (* x y) (* z t))
17.0ms
(* (+ a (* b c)) (* c i))

simplify52.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0397546
11767506
25001498

prune149.0ms

Filtered
41 candidates to 58 candidates (-41.5%)
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New55358
Fresh189
Picked011
Done000
Total561268

Merged error: 1.5b

Counts
68 → 12

localize20.0ms

Local error

Found 4 expressions with local error:

2.4b
(* (* (cbrt (+ a (* b c))) (cbrt (+ a (* b c)))) (* (cbrt (+ a (* b c))) (* c i)))
2.7b
(cbrt (+ a (* b c)))
2.7b
(cbrt (+ a (* b c)))
2.7b
(cbrt (+ a (* b c)))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
60×cbrt-div
32×associate-*l/
30×flip3-+ flip-+
28×frac-times
25×pow1 add-exp-log
15×pow-prod-down prod-exp add-cbrt-cube 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:
19.0ms
(* (* (cbrt (+ a (* b c))) (cbrt (+ a (* b c)))) (* (cbrt (+ a (* b c))) (* c i)))
2.0ms
(cbrt (+ a (* b c)))
2.0ms
(cbrt (+ a (* b c)))
2.0ms
(cbrt (+ a (* b c)))

series104.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(* (* (cbrt (+ a (* b c))) (cbrt (+ a (* b c)))) (* (cbrt (+ a (* b c))) (* c i)))
31.0ms
(cbrt (+ a (* b c)))
28.0ms
(cbrt (+ a (* b c)))
28.0ms
(cbrt (+ a (* b c)))

simplify58.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
05241606
117811375
250011252

prune203.0ms

Filtered
63 candidates to 105 candidates (-66.7%)
Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New1014105
Fresh2810
Picked101
Done011
Total10413117

Merged error: 1.4b

Counts
117 → 13

localize20.0ms

Local error

Found 4 expressions with local error:

1.8b
(* (cbrt (+ a (* b c))) (* c i))
2.7b
(cbrt (+ a (* b c)))
2.7b
(cbrt (+ a (* b c)))
2.7b
(cbrt (+ a (* b c)))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
9×pow1 add-exp-log add-sqr-sqrt add-cube-cbrt *-un-lft-identity
8×cbrt-div
7×add-cbrt-cube
6×associate-*l*
4×flip3-+ flip-+ add-log-exp
3×pow1/3 pow-prod-down prod-exp cbrt-unprod
2×associate-*l/
1×associate-*r* *-commutative
Counts
4 → 62
Calls
4 calls:
7.0ms
(* (cbrt (+ a (* b c))) (* c i))
2.0ms
(cbrt (+ a (* b c)))
3.0ms
(cbrt (+ a (* b c)))
3.0ms
(cbrt (+ a (* b c)))

series161.0ms

Counts
4 → 12
Calls
4 calls:
76.0ms
(* (cbrt (+ a (* b c))) (* c i))
27.0ms
(cbrt (+ a (* b c)))
29.0ms
(cbrt (+ a (* b c)))
28.0ms
(cbrt (+ a (* b c)))

simplify76.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 3 (69.0ms)

IterNodesCost
0290569
1844533
22981501
35001486

prune94.0ms

Filtered
57 candidates to 74 candidates (-29.8%)
Pruning

13 alts after pruning (11 fresh and 2 done)

PrunedKeptTotal
New73174
Fresh11011
Picked011
Done011
Total741387

Merged error: 1.4b

Counts
87 → 13

regimes2.9s

Accuracy

0% (1.0b remaining)

Error of 1.9b against oracle of 0.9b and baseline of 1.9b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0269
1269

end0.0ms

analyze1.8s

Algorithm
search

sample1.7s

Algorithm
intervals
Results
515.0ms8000×body80valid
462.0ms7156×body80invalid

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