Details

Time bar (total: 7.4s)

sample58.0ms

Algorithm
intervals
Results
30.0ms506×body80valid

simplify201.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0329
1779
22309
37359
419209
529949
633889
740789
850019

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: 7.3b

Counts
2 → 1

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ a (* b c))
0.0b
(- (+ (* x y) (* z t)) (* (* (+ a (* b c)) c) i))
0.1b
(* (+ a (* b c)) c)
9.8b
(* (* (+ a (* b c)) c) i)

rewrite23.0ms

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:
3.0ms
(+ a (* b c))
6.0ms
(- (+ (* x y) (* z t)) (* (* (+ a (* b c)) c) i))
5.0ms
(* (+ a (* b c)) c)
6.0ms
(* (* (+ a (* b c)) c) i)

series769.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(+ a (* b c))
589.0ms
(- (+ (* x y) (* z t)) (* (* (+ a (* b c)) c) i))
58.0ms
(* (+ a (* b c)) c)
97.0ms
(* (* (+ a (* b c)) c) i)

simplify60.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0431642
11992581
25002573

prune242.0ms

Filtered
81 candidates to 58 candidates (71.6%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New72981
Fresh000
Picked101
Done000
Total73982

Merged error: 1.2b

Counts
82 → 9

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x y) (* z t))
0.0b
(+ a (* b c))
0.0b
(- (+ (* x y) (* z t)) (* (+ a (* b c)) (* c i)))
5.7b
(* (+ a (* b c)) (* c i))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
13×add-log-exp
9×pow1 add-exp-log add-cbrt-cube
7×flip3-+ flip-+
6×associate-*l/
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×frac-sub
3×associate-*l* pow-prod-down prod-exp sum-log cbrt-unprod
2×+-commutative diff-log
1×sub-neg flip3-- associate-*r* associate--l+ *-commutative flip--
Counts
4 → 60
Calls
4 calls:
3.0ms
(+ (* x y) (* z t))
3.0ms
(+ a (* b c))
6.0ms
(- (+ (* x y) (* z t)) (* (+ a (* b c)) (* c i)))
6.0ms
(* (+ a (* b c)) (* c i))

series872.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(+ (* x y) (* z t))
25.0ms
(+ a (* b c))
752.0ms
(- (+ (* x y) (* z t)) (* (+ a (* b c)) (* c i)))
62.0ms
(* (+ a (* b c)) (* c i))

simplify59.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0404600
11775555
25003547

prune214.0ms

Filtered
72 candidates to 52 candidates (72.2%)
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New68472
Fresh178
Picked011
Done000
Total691281

Merged error: 1.2b

Counts
81 → 12

localize18.0ms

Local error

Found 4 expressions with local error:

1.7b
(cbrt (+ a (* b c)))
1.7b
(cbrt (+ a (* b c)))
1.7b
(cbrt (+ a (* b c)))
5.7b
(* (* (* (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))

series380.0ms

Counts
4 → 12
Calls
4 calls:
108.0ms
(cbrt (+ a (* b c)))
105.0ms
(cbrt (+ a (* b c)))
104.0ms
(cbrt (+ a (* b c)))
63.0ms
(* (* (* (cbrt (+ a (* b c))) (cbrt (+ a (* b c)))) (cbrt (+ a (* b c)))) (* c i))

simplify62.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
05381334
117841070
25002983

prune394.0ms

Filtered
105 candidates to 70 candidates (66.7%)
Pruning

16 alts after pruning (14 fresh and 2 done)

PrunedKeptTotal
New1014105
Fresh01010
Picked011
Done011
Total10116117

Merged error: 1.2b

Counts
117 → 16

localize28.0ms

Local error

Found 4 expressions with local error:

5.7b
(* (* (* (cbrt (+ a (* b c))) (cbrt (+ a (* b c)))) (cbrt (+ a (* b c)))) (* c i))
8.2b
(cbrt (* (* (* (cbrt (+ a (* b c))) (cbrt (+ a (* b c)))) (cbrt (+ a (* b c)))) (* c i)))
8.2b
(cbrt (* (* (* (cbrt (+ a (* b c))) (cbrt (+ a (* b c)))) (cbrt (+ a (* b c)))) (* c i)))
8.2b
(cbrt (* (* (* (cbrt (+ a (* b c))) (cbrt (+ a (* b c)))) (cbrt (+ a (* b c)))) (* c i)))

rewrite94.0ms

Algorithm
rewrite-expression-head
Rules
294×cbrt-div
160×associate-*l/
112×frac-times
108×flip3-+ flip-+
32×associate-*r/
25×pow1 add-exp-log
17×add-cbrt-cube
15×pow-prod-down prod-exp cbrt-unprod
4×add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-log-exp
3×cbrt-prod pow1/3
1×associate-*r* associate-*l* *-commutative
Counts
4 → 159
Calls
4 calls:
23.0ms
(* (* (* (cbrt (+ a (* b c))) (cbrt (+ a (* b c)))) (cbrt (+ a (* b c)))) (* c i))
19.0ms
(cbrt (* (* (* (cbrt (+ a (* b c))) (cbrt (+ a (* b c)))) (cbrt (+ a (* b c)))) (* c i)))
19.0ms
(cbrt (* (* (* (cbrt (+ a (* b c))) (cbrt (+ a (* b c)))) (cbrt (+ a (* b c)))) (* c i)))
19.0ms
(cbrt (* (* (* (cbrt (+ a (* b c))) (cbrt (+ a (* b c)))) (cbrt (+ a (* b c)))) (* c i)))

series460.0ms

Counts
4 → 12
Calls
4 calls:
62.0ms
(* (* (* (cbrt (+ a (* b c))) (cbrt (+ a (* b c)))) (cbrt (+ a (* b c)))) (* c i))
131.0ms
(cbrt (* (* (* (cbrt (+ a (* b c))) (cbrt (+ a (* b c)))) (cbrt (+ a (* b c)))) (* c i)))
133.0ms
(cbrt (* (* (* (cbrt (+ a (* b c))) (cbrt (+ a (* b c)))) (cbrt (+ a (* b c)))) (* c i)))
135.0ms
(cbrt (* (* (* (cbrt (+ a (* b c))) (cbrt (+ a (* b c)))) (cbrt (+ a (* b c)))) (* c i)))

simplify83.0ms

Algorithm
egg-herbie
Counts
171 → 171
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
06384256
119943929
250023710

prune624.0ms

Filtered
171 candidates to 88 candidates (51.5%)
Pruning

17 alts after pruning (14 fresh and 3 done)

PrunedKeptTotal
New1701171
Fresh01313
Picked011
Done022
Total17017187

Merged error: 1.2b

Counts
187 → 17

regimes1.1s

Accuracy

0% (0.9b remaining)

Error of 1.7b against oracle of 0.8b and baseline of 1.7b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0269
1269

end0.0ms

sample1.5s

Algorithm
intervals
Results
839.0ms14938×body80valid

Profiling

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