Details

Time bar (total: 6.7s)

sample67.0ms

Algorithm
intervals
Results
23.0ms405×body80valid

simplify128.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0379
1949
22879
37419
416629
541959
650019

prune7.0ms

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: 22.6b

Counts
2 → 1

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* z 4.0) t)
1.3b
(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
5.3b
(* (* (* z 4.0) t) a)
19.0b
(/ (+ (- (* (* 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
(* (* z 4.0) t)
7.0ms
(- (* (* 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))

series321.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(* (* z 4.0) t)
78.0ms
(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
28.0ms
(* (* (* z 4.0) t) a)
197.0ms
(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

simplify64.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0446680
12162574
25001574

prune486.0ms

Filtered
89 candidates to 55 candidates (61.8%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New771289
Fresh000
Picked101
Done000
Total781290

Merged error: 6.2b

Counts
90 → 12

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 9.0 (/ (* x y) (* z c)))
5.5b
(/ b (* z c))
7.4b
(/ (* a t) c)
8.2b
(/ (* x y) (* z c))

rewrite23.0ms

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)
5.0ms
(/ (* x y) (* z c))

series111.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(* 9.0 (/ (* x y) (* z c)))
19.0ms
(/ b (* z c))
18.0ms
(/ (* a t) c)
30.0ms
(/ (* x y) (* z c))

simplify57.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0420503
12365384
25002384

prune529.0ms

Filtered
104 candidates to 62 candidates (59.6%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New986104
Fresh5611
Picked101
Done000
Total10412116

Merged error: 0.6b

Counts
116 → 12

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 9.0 (/ (* x y) (* z c)))
4.9b
(/ a (/ c t))
5.5b
(/ b (* z c))
8.2b
(/ (* x y) (* z c))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
80×times-frac
52×add-sqr-sqrt
50×add-cube-cbrt *-un-lft-identity
44×add-exp-log add-cbrt-cube
15×associate-/r*
14×prod-exp cbrt-unprod
13×cbrt-undiv div-exp
8×div-inv
7×associate-/l*
6×pow1
5×associate-*r*
4×add-log-exp
3×frac-2neg associate-*l* clear-num
1×associate-*r/ pow-prod-down associate-/r/ *-commutative unswap-sqr
Counts
4 → 141
Calls
4 calls:
7.0ms
(* 9.0 (/ (* x y) (* z c)))
5.0ms
(/ a (/ c t))
4.0ms
(/ b (* z c))
5.0ms
(/ (* x y) (* z c))

series109.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(* 9.0 (/ (* x y) (* z c)))
20.0ms
(/ a (/ c t))
20.0ms
(/ b (* z c))
30.0ms
(/ (* x y) (* z c))

simplify73.0ms

Algorithm
egg-herbie
Counts
153 → 153
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
0634870
13152746
25001746

prune822.0ms

Filtered
153 candidates to 104 candidates (68.0%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New1512153
Fresh4711
Picked011
Done000
Total15510165

Merged error: 0.1b

Counts
165 → 10

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 9.0 (/ (* x y) (* z c)))
4.9b
(* a (/ t c))
5.5b
(/ b (* z c))
8.2b
(/ (* x y) (* z c))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
44×add-exp-log add-cbrt-cube
23×add-sqr-sqrt
18×associate-*r*
16×add-cube-cbrt *-un-lft-identity prod-exp cbrt-unprod
15×times-frac
11×cbrt-undiv div-exp
8×pow1
6×associate-*l*
4×div-inv associate-/l* add-log-exp
3×unswap-sqr
2×frac-2neg associate-*r/ pow-prod-down clear-num associate-/r* *-commutative
Counts
4 → 103
Calls
4 calls:
7.0ms
(* 9.0 (/ (* x y) (* z c)))
6.0ms
(* a (/ t c))
4.0ms
(/ b (* z c))
5.0ms
(/ (* x y) (* z c))

series107.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(* 9.0 (/ (* x y) (* z c)))
19.0ms
(* a (/ t c))
22.0ms
(/ b (* z c))
27.0ms
(/ (* x y) (* z c))

simplify60.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0475551
12583432
25001432

prune485.0ms

Filtered
115 candidates to 69 candidates (60.0%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1141115
Fresh178
Picked101
Done011
Total1169125

Merged error: 0.1b

Counts
125 → 9

regimes1.5s

Accuracy

32.6% (7.6b remaining)

Error of 8.0b against oracle of 0.3b and baseline of 11.7b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05126
15126

end0.0ms

sample1.7s

Algorithm
intervals
Results
734.0ms12838×body80valid

Profiling

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