Details

Time bar (total: 15.2s)

analyze4.5s

Algorithm
search
sampling

Space saved by range analysis: 0.389958%

Space saved by search: 0.389958%

Guaranteed chance to sample good point: 0%

sample61.0ms

Algorithm
intervals
Results
15.0ms256×body80valid
12.0ms216×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: 4.9b

Counts
2 → 1

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x y) (* z t))
0.0b
(- (+ (* x y) (* z t)) (* (* (+ a (* b c)) c) i))
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
add-sqr-sqrt
add-cube-cbrt *-un-lft-identity flip3-+ flip-+
associate-*r*
associate-*l* pow-prod-down prod-exp frac-sub cbrt-unprod
diff-log sum-log *-commutative
+-commutative sub-neg flip3-- associate--l+ flip-- unswap-sqr
Counts
4 → 69
Calls
4 calls:
3.0ms
(+ (* x y) (* z t))
7.0ms
(- (+ (* x y) (* z t)) (* (* (+ a (* b c)) c) i))
5.0ms
(* (+ a (* b c)) c)
6.0ms
(* (* (+ a (* b c)) c) i)

series364.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(+ (* x y) (* z t))
325.0ms
(- (+ (* x y) (* z t)) (* (* (+ a (* b c)) c) i))
11.0ms
(* (+ a (* b c)) c)
17.0ms
(* (* (+ a (* b c)) c) i)

simplify60.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0436655
12076599
25003591

prune151.0ms

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

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New72981
Fresh000
Picked011
Done000
Total721082

Merged error: 0.3b

Counts
82 → 10

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x y) (* z t))
0.0b
(- (+ (* x y) (* z t)) (* (+ a (* b c)) (* c i)))
3.9b
(* (+ a (* b c)) (* c i))

rewrite17.0ms

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

series405.0ms

Counts
3 → 9
Calls
3 calls:
10.0ms
(+ (* x y) (* z t))
378.0ms
(- (+ (* x y) (* z t)) (* (+ a (* b c)) (* c i)))
17.0ms
(* (+ a (* b c)) (* c i))

simplify55.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0397546
11767506
25001498

prune117.0ms

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

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New56258
Fresh178
Picked011
Done011
Total571168

Merged error: 0.2b

Counts
68 → 11

localize18.0ms

Local error

Found 4 expressions with local error:

1.0b
(cbrt (+ a (* b c)))
1.0b
(cbrt (+ a (* b c)))
1.8b
(* (* (cbrt (+ a (* b c))) (cbrt (+ a (* b c)))) (* (cbrt (+ a (* b c))) (* c i)))
1.8b
(* (cbrt (+ a (* b c))) (* c i))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
60×cbrt-div
34×associate-*l/
30×pow1 add-exp-log flip3-+ flip-+
28×frac-times
18×pow-prod-down prod-exp add-cbrt-cube cbrt-unprod
cbrt-prod
add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*r/
associate-*l*
add-log-exp
pow1/3 associate-*r* *-commutative
Counts
4 → 103
Calls
4 calls:
2.0ms
(cbrt (+ a (* b c)))
2.0ms
(cbrt (+ a (* b c)))
18.0ms
(* (* (cbrt (+ a (* b c))) (cbrt (+ a (* b c)))) (* (cbrt (+ a (* b c))) (* c i)))
7.0ms
(* (cbrt (+ a (* b c))) (* c i))

series151.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(cbrt (+ a (* b c)))
27.0ms
(cbrt (+ a (* b c)))
17.0ms
(* (* (cbrt (+ a (* b c))) (cbrt (+ a (* b c)))) (* (cbrt (+ a (* b c))) (* c i)))
78.0ms
(* (cbrt (+ a (* b c))) (* c i))

simplify60.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
05711651
118931412
250011293

prune151.0ms

Filtered
66 candidates to 115 candidates (-74.2%)
Pruning

11 alts after pruning (8 fresh and 3 done)

PrunedKeptTotal
New1141115
Fresh178
Picked011
Done022
Total11511126

Merged error: 0.2b

Counts
126 → 11

localize20.0ms

Local error

Found 4 expressions with local error:

7.5b
(* (* (+ a (* b c)) c) i)
10.3b
(cbrt (* (* (+ a (* b c)) c) i))
10.3b
(cbrt (* (* (+ a (* b c)) c) i))
10.3b
(cbrt (* (* (+ a (* b c)) c) i))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
16×associate-*l/
pow1 add-exp-log add-cbrt-cube
cbrt-div
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
flip3-+ flip-+ add-log-exp
cbrt-prod pow1/3 associate-*r* pow-prod-down prod-exp cbrt-unprod
associate-*l* *-commutative
Counts
4 → 53
Calls
4 calls:
9.0ms
(* (* (+ a (* b c)) c) i)
5.0ms
(cbrt (* (* (+ a (* b c)) c) i))
5.0ms
(cbrt (* (* (+ a (* b c)) c) i))
5.0ms
(cbrt (* (* (+ a (* b c)) c) i))

series154.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(* (* (+ a (* b c)) c) i)
46.0ms
(cbrt (* (* (+ a (* b c)) c) i))
47.0ms
(cbrt (* (* (+ a (* b c)) c) i))
44.0ms
(cbrt (* (* (+ a (* b c)) c) i))

simplify44.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0336599
11298539
25002526

prune88.0ms

Filtered
53 candidates to 65 candidates (-22.6%)
Pruning

11 alts after pruning (7 fresh and 4 done)

PrunedKeptTotal
New65065
Fresh077
Picked011
Done033
Total651176

Merged error: 0.2b

Counts
76 → 11

regimes2.4s

Accuracy

0% (1.0b 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

analyze4.4s

Algorithm
search
sampling

Space saved by range analysis: 0.389958%

Space saved by search: 0.389958%

Guaranteed chance to sample good point: 0%

sample1.7s

Algorithm
intervals
Results
519.0ms8000×body80valid
439.0ms6987×body80invalid

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