Details

Time bar (total: 5.3s)

sample46.0ms

Algorithm
intervals
Results
23.0ms419×body80valid

simplify128.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0379
1949
22879
37419
416629
541959
650019

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: 23.8b

Counts
2 → 1

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* x 9.0) y)
1.1b
(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
5.7b
(* (* (* z 4.0) t) a)
20.5b
(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
23×add-exp-log add-cbrt-cube
18×pow1
12×*-un-lft-identity
10×prod-exp cbrt-unprod
9×pow-prod-down
8×add-sqr-sqrt add-cube-cbrt
6×associate-*r* add-log-exp
4×times-frac associate-/l*
2×cbrt-undiv div-exp associate-*l* *-commutative associate-/l/ distribute-lft-out
1×associate-+l- sub-neg flip3-- frac-2neg flip3-+ diff-log div-sub clear-num associate-/r* flip-- flip-+ div-inv
Counts
4 → 77
Calls
4 calls:
5.0ms
(* (* x 9.0) y)
4.0ms
(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
7.0ms
(* (* (* z 4.0) t) a)
10.0ms
(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

series321.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(* (* x 9.0) y)
74.0ms
(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
31.0ms
(* (* (* z 4.0) t) a)
194.0ms
(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

simplify69.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0491675
12345574
25002574

prune250.0ms

Filtered
89 candidates to 57 candidates (64.0%)
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New761389
Fresh000
Picked101
Done000
Total771390

Merged error: 10.3b

Counts
90 → 13

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 9.0 (/ (* x y) (* z c)))
5.7b
(/ b (* z c))
5.9b
(/ (* a t) c)
9.7b
(/ (* x y) (* z c))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
44×add-exp-log add-cbrt-cube
15×prod-exp cbrt-unprod
12×cbrt-undiv add-sqr-sqrt div-exp
10×add-cube-cbrt *-un-lft-identity
8×times-frac
6×pow1
5×associate-*r* associate-/r* associate-/l*
4×div-inv add-log-exp
3×frac-2neg associate-*l* clear-num
1×associate-*r/ pow-prod-down *-commutative unswap-sqr
Counts
4 → 92
Calls
4 calls:
8.0ms
(* 9.0 (/ (* x y) (* z c)))
4.0ms
(/ b (* z c))
6.0ms
(/ (* a t) c)
6.0ms
(/ (* x y) (* z c))

series110.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(* 9.0 (/ (* x y) (* z c)))
20.0ms
(/ b (* z c))
19.0ms
(/ (* a t) c)
28.0ms
(/ (* x y) (* z c))

simplify58.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0420503
12365384
25002384

prune260.0ms

Filtered
104 candidates to 62 candidates (59.6%)
Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New959104
Fresh6612
Picked101
Done000
Total10215117

Merged error: 0.8b

Counts
117 → 15

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt c)
2.7b
(* (/ a (* (cbrt c) (cbrt c))) (/ t (cbrt c)))
5.7b
(/ b (* z c))
9.7b
(/ (* x y) (* z c))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
42×add-exp-log
38×add-sqr-sqrt
35×add-cbrt-cube
32×times-frac
22×add-cube-cbrt *-un-lft-identity associate-*r*
14×cbrt-prod
13×cbrt-undiv div-exp prod-exp cbrt-unprod
7×associate-*l*
6×pow1 unswap-sqr
4×div-inv associate-/l* add-log-exp
2×frac-2neg clear-num associate-/r*
1×frac-times pow1/3 associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 112
Calls
4 calls:
1.0ms
(cbrt c)
15.0ms
(* (/ a (* (cbrt c) (cbrt c))) (/ t (cbrt c)))
4.0ms
(/ b (* z c))
6.0ms
(/ (* x y) (* z c))

series267.0ms

Counts
4 → 12
Calls
4 calls:
171.0ms
(cbrt c)
46.0ms
(* (/ a (* (cbrt c) (cbrt c))) (/ t (cbrt c)))
20.0ms
(/ b (* z c))
30.0ms
(/ (* x y) (* z c))

simplify75.0ms

Algorithm
egg-herbie
Counts
124 → 124
Iterations

Useful iterations: 2 (66.0ms)

IterNodesCost
0635852
13415669
25003634

prune408.0ms

Filtered
124 candidates to 88 candidates (71.0%)
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New1231124
Fresh21214
Picked101
Done000
Total12613139

Merged error: 0.0b

Counts
139 → 13

localize21.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt c)
2.7b
(* (/ a (* (cbrt c) (cbrt c))) (/ t (cbrt c)))
5.7b
(/ b (* z c))
8.7b
(* (/ x z) (/ y c))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
64×add-sqr-sqrt
53×times-frac
42×add-exp-log
36×add-cube-cbrt *-un-lft-identity
35×associate-*r* add-cbrt-cube
20×associate-*l*
14×cbrt-prod
13×cbrt-undiv div-exp prod-exp cbrt-unprod
10×unswap-sqr
8×pow1
5×div-inv
4×add-log-exp
3×associate-/l*
2×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
1×frac-2neg pow1/3 clear-num associate-/r*
Counts
4 → 141
Calls
4 calls:
1.0ms
(cbrt c)
15.0ms
(* (/ a (* (cbrt c) (cbrt c))) (/ t (cbrt c)))
4.0ms
(/ b (* z c))
10.0ms
(* (/ x z) (/ y c))

series270.0ms

Counts
4 → 12
Calls
4 calls:
168.0ms
(cbrt c)
50.0ms
(* (/ a (* (cbrt c) (cbrt c))) (/ t (cbrt c)))
20.0ms
(/ b (* z c))
31.0ms
(* (/ x z) (/ y c))

simplify83.0ms

Algorithm
egg-herbie
Counts
153 → 153
Iterations

Useful iterations: 2 (72.0ms)

IterNodesCost
08151006
13971817
25002782

prune500.0ms

Filtered
153 candidates to 115 candidates (75.2%)
Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New1503153
Fresh01212
Picked101
Done000
Total15115166

Merged error: 0.0b

Counts
166 → 15

regimes989.0ms

Accuracy

45.3% (5.5b remaining)

Error of 5.7b against oracle of 0.2b and baseline of 10.3b

bsearch3.0ms

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
076100
176100

end0.0ms

sample1.2s

Algorithm
intervals
Results
728.0ms12868×body80valid

Profiling

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