Details

Time bar (total: 5.0s)

sample49.0ms

Algorithm
intervals
Results
26.0ms418×body80valid

simplify133.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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: 22.2b

Counts
2 → 1

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* x 9.0) y)
0.9b
(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
3.7b
(* (* (* z 4.0) t) a)
20.3b
(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

rewrite29.0ms

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)
5.0ms
(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
7.0ms
(* (* (* z 4.0) t) a)
11.0ms
(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

series348.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* (* x 9.0) y)
83.0ms
(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
33.0ms
(* (* (* z 4.0) t) a)
207.0ms
(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

simplify78.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 1 (17.0ms)

IterNodesCost
0491675
12345574
25002574

prune254.0ms

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: 9.3b

Counts
90 → 13

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 9.0 (/ (* x y) (* z c)))
5.5b
(/ b (* z c))
6.3b
(/ (* a t) c)
12.4b
(/ (* 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:
10.0ms
(* 9.0 (/ (* x y) (* z c)))
4.0ms
(/ b (* z c))
4.0ms
(/ (* a t) c)
6.0ms
(/ (* x y) (* z c))

series113.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(* 9.0 (/ (* x y) (* z c)))
21.0ms
(/ b (* z c))
20.0ms
(/ (* a t) c)
29.0ms
(/ (* x y) (* z c))

simplify56.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0420503
12365384
25002384

prune273.0ms

Filtered
104 candidates to 62 candidates (59.6%)
Pruning

16 alts after pruning (16 fresh and 0 done)

PrunedKeptTotal
New977104
Fresh3912
Picked101
Done000
Total10116117

Merged error: 0.8b

Counts
117 → 16

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 9.0 (* (/ x z) (/ y c)))
5.5b
(/ b (* z c))
6.3b
(/ (* a t) c)
11.5b
(* (/ x z) (/ y c))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
44×add-exp-log add-cbrt-cube
35×add-sqr-sqrt
28×times-frac
23×add-cube-cbrt *-un-lft-identity
16×associate-*l*
15×prod-exp cbrt-unprod
14×associate-*r*
12×cbrt-undiv div-exp
11×pow1
5×associate-*r/
4×pow-prod-down associate-/r* div-inv associate-/l* add-log-exp unswap-sqr
2×frac-times frac-2neg associate-*l/ clear-num *-commutative
Counts
4 → 119
Calls
4 calls:
9.0ms
(* 9.0 (* (/ x z) (/ y c)))
4.0ms
(/ b (* z c))
4.0ms
(/ (* a t) c)
11.0ms
(* (/ x z) (/ y c))

series118.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(* 9.0 (* (/ x z) (/ y c)))
21.0ms
(/ b (* z c))
24.0ms
(/ (* a t) c)
29.0ms
(* (/ x z) (/ y c))

simplify66.0ms

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 1 (16.0ms)

IterNodesCost
0602638
12849519
25001519

prune379.0ms

Filtered
131 candidates to 88 candidates (67.2%)
Pruning

16 alts after pruning (16 fresh and 0 done)

PrunedKeptTotal
New1265131
Fresh41115
Picked101
Done000
Total13116147

Merged error: 0.3b

Counts
147 → 16

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 9.0 (* (/ x z) (/ y c)))
4.3b
(* a (/ t c))
5.5b
(/ b (* z c))
11.5b
(* (/ x z) (/ y c))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
46×add-sqr-sqrt
44×add-exp-log add-cbrt-cube
35×times-frac
29×add-cube-cbrt *-un-lft-identity
27×associate-*r*
19×associate-*l*
16×prod-exp cbrt-unprod
13×pow1
11×cbrt-undiv div-exp
6×associate-*r/ unswap-sqr
5×pow-prod-down
4×div-inv add-log-exp
3×*-commutative associate-/l*
2×frac-times associate-*l/
1×frac-2neg clear-num associate-/r*
Counts
4 → 130
Calls
4 calls:
9.0ms
(* 9.0 (* (/ x z) (/ y c)))
7.0ms
(* a (/ t c))
4.0ms
(/ b (* z c))
11.0ms
(* (/ x z) (/ y c))

series121.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(* 9.0 (* (/ x z) (/ y c)))
20.0ms
(* a (/ t c))
21.0ms
(/ b (* z c))
33.0ms
(* (/ x z) (/ y c))

simplify71.0ms

Algorithm
egg-herbie
Counts
142 → 142
Iterations

Useful iterations: 1 (17.0ms)

IterNodesCost
0652686
13039567
25001567

prune364.0ms

Filtered
142 candidates to 96 candidates (67.6%)
Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New1402142
Fresh21315
Picked101
Done000
Total14315158

Merged error: 0.0b

Counts
158 → 15

regimes1.1s

Accuracy

51.2% (5.1b remaining)

Error of 5.3b against oracle of 0.2b and baseline of 10.6b

bsearch3.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08070
18070

end0.0ms

sample1.3s

Algorithm
intervals
Results
816.0ms12697×body80valid

Profiling

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