Details

Time bar (total: 5.2s)

sample62.0ms

Algorithm
intervals
Results
24.0ms417×body80valid

simplify127.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0379
1949
22879
37419
416629
541959
650019

prune5.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 20.2b

Counts
2 → 1

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* x 9.0) y)
0.4b
(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
6.0b
(* (* (* z 4.0) t) a)
16.7b
(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

rewrite30.0ms

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))
6.0ms
(* (* (* z 4.0) t) a)
10.0ms
(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

series78.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* (* x 9.0) y)
18.0ms
(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
6.0ms
(* (* (* z 4.0) t) a)
50.0ms
(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

simplify72.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0491675
12345574
25002574

prune189.0ms

Filtered
89 candidates to 57 candidates (36.0%)
Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New741589
Fresh000
Picked101
Done000
Total751590

Merged error: 6.6b

Counts
90 → 15

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 9.0 (/ (* x y) (* z c)))
3.8b
(/ b (* z c))
5.1b
(/ (* a t) c)
9.5b
(/ (* x y) (* z c))

rewrite24.0ms

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:
7.0ms
(* 9.0 (/ (* x y) (* z c)))
4.0ms
(/ b (* z c))
4.0ms
(/ (* a t) c)
6.0ms
(/ (* x y) (* z c))

series27.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(* 9.0 (/ (* x y) (* z c)))
4.0ms
(/ b (* z c))
4.0ms
(/ (* a t) c)
9.0ms
(/ (* x y) (* z c))

simplify53.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0420503
12365384
25002384

prune173.0ms

Filtered
104 candidates to 62 candidates (40.4%)
Pruning

17 alts after pruning (17 fresh and 0 done)

PrunedKeptTotal
New968104
Fresh5914
Picked101
Done000
Total10217119

Merged error: 0.7b

Counts
119 → 17

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 9.0 (* (/ x z) (/ y c)))
3.8b
(/ b (* z c))
5.1b
(/ (* a t) c)
8.5b
(* (/ x z) (/ y c))

rewrite30.0ms

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:
8.0ms
(* 9.0 (* (/ x z) (/ y c)))
4.0ms
(/ b (* z c))
4.0ms
(/ (* a t) c)
10.0ms
(* (/ x z) (/ y c))

series27.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(* 9.0 (* (/ x z) (/ y c)))
4.0ms
(/ b (* z c))
4.0ms
(/ (* a t) c)
9.0ms
(* (/ x z) (/ y c))

simplify60.0ms

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0602638
12849519
25001519

prune192.0ms

Filtered
131 candidates to 88 candidates (32.8%)
Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New1256131
Fresh8816
Picked101
Done000
Total13414148

Merged error: 0.0b

Counts
148 → 14

localize26.0ms

Local error

Found 4 expressions with local error:

0.7b
(* (* (/ x z) (/ (* (cbrt y) (cbrt y)) (* (cbrt c) (cbrt c)))) (/ (cbrt y) (cbrt c)))
3.8b
(/ b (* z c))
5.1b
(* (/ x z) (/ (* (cbrt y) (cbrt y)) (* (cbrt c) (cbrt c))))
5.1b
(/ (* a t) c)

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
172×add-exp-log
102×add-cbrt-cube
78×prod-exp cbrt-unprod
56×times-frac
54×cbrt-undiv div-exp
49×add-sqr-sqrt
45×associate-*r*
41×add-cube-cbrt *-un-lft-identity
36×cbrt-prod
14×associate-*l*
11×pow1
6×frac-times associate-*l/
5×div-inv
4×associate-*r/ pow-prod-down associate-/r* associate-/l* add-log-exp unswap-sqr
2×frac-2neg clear-num *-commutative
Counts
4 → 198
Calls
4 calls:
22.0ms
(* (* (/ x z) (/ (* (cbrt y) (cbrt y)) (* (cbrt c) (cbrt c)))) (/ (cbrt y) (cbrt c)))
4.0ms
(/ b (* z c))
14.0ms
(* (/ x z) (/ (* (cbrt y) (cbrt y)) (* (cbrt c) (cbrt c))))
4.0ms
(/ (* a t) c)

series53.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(* (* (/ x z) (/ (* (cbrt y) (cbrt y)) (* (cbrt c) (cbrt c)))) (/ (cbrt y) (cbrt c)))
4.0ms
(/ b (* z c))
36.0ms
(* (/ x z) (/ (* (cbrt y) (cbrt y)) (* (cbrt c) (cbrt c))))
5.0ms
(/ (* a t) c)

simplify46.0ms

Algorithm
egg-herbie
Counts
210 → 210
Iterations

Useful iterations: 1 (27.0ms)

IterNodesCost
012192694
150022061

prune185.0ms

Filtered
210 candidates to 132 candidates (37.1%)
Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New2100210
Fresh01313
Picked011
Done000
Total21014224

Merged error: 0.0b

Counts
224 → 14

regimes2.0s

Accuracy

64.4% (3.9b remaining)

Error of 4.0b against oracle of 0.1b and baseline of 11.0b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08793
18793

end0.0ms

sample1.6s

Algorithm
intervals
Results
737.0ms12718×body80valid

Profiling

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