Details

Time bar (total: 4.4s)

sample39.0ms

Algorithm
intervals
Results
18.0ms381×body80valid

simplify128.0ms

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: 21.8b

Counts
2 → 1

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b
(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
0.2b
(* (* x 9.0) y)
7.3b
(* (* (* z 4.0) t) a)
18.2b
(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

rewrite31.0ms

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) (* (* (* z 4.0) t) a))
8.0ms
(* (* x 9.0) y)
6.0ms
(* (* (* z 4.0) t) a)
10.0ms
(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

series314.0ms

Counts
4 → 12
Calls
4 calls:
75.0ms
(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
19.0ms
(* (* x 9.0) y)
27.0ms
(* (* (* z 4.0) t) a)
193.0ms
(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

simplify70.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0491675
12345574
25002574

prune224.0ms

Filtered
89 candidates to 57 candidates (64.0%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New791089
Fresh000
Picked101
Done000
Total801090

Merged error: 7.6b

Counts
90 → 10

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 9.0 (/ (* x y) (* z c)))
3.9b
(/ (* a t) c)
6.4b
(/ b (* z c))
9.9b
(/ (* 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
(/ (* a t) c)
4.0ms
(/ b (* z c))
6.0ms
(/ (* x y) (* z c))

series105.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(* 9.0 (/ (* x y) (* z c)))
18.0ms
(/ (* a t) c)
22.0ms
(/ b (* z c))
27.0ms
(/ (* x y) (* z c))

simplify56.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0420503
12365384
25002384

prune251.0ms

Filtered
104 candidates to 62 candidates (59.6%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New959104
Fresh639
Picked101
Done000
Total10212114

Merged error: 0.0b

Counts
114 → 12

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 9.0 (/ (* x y) (* z c)))
3.9b
(/ (* a t) c)
5.3b
(* (/ 1 z) (/ b c))
9.9b
(/ (* x y) (* z c))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
61×add-exp-log
51×add-cbrt-cube
41×add-sqr-sqrt
30×times-frac
24×*-un-lft-identity
22×add-cube-cbrt prod-exp
18×div-exp associate-*r* cbrt-unprod
16×associate-*l*
14×cbrt-undiv
8×pow1
7×unswap-sqr
5×div-inv
4×associate-/r* add-log-exp
2×rec-exp frac-2neg 1-exp associate-*r/ pow-prod-down clear-num *-commutative associate-/l*
1×frac-times associate-*l/
Counts
4 → 127
Calls
4 calls:
8.0ms
(* 9.0 (/ (* x y) (* z c)))
4.0ms
(/ (* a t) c)
10.0ms
(* (/ 1 z) (/ b c))
6.0ms
(/ (* x y) (* z c))

series111.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(* 9.0 (/ (* x y) (* z c)))
18.0ms
(/ (* a t) c)
18.0ms
(* (/ 1 z) (/ b c))
31.0ms
(/ (* x y) (* z c))

simplify81.0ms

Algorithm
egg-herbie
Counts
139 → 139
Iterations

Useful iterations: 2 (71.0ms)

IterNodesCost
0671714
13548560
25002554

prune344.0ms

Filtered
139 candidates to 84 candidates (60.4%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New1381139
Fresh11011
Picked101
Done000
Total14011151

Merged error: 0.0b

Counts
151 → 11

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 9.0 (/ (* x y) (* z c)))
3.9b
(/ (* a t) c)
5.2b
(/ (/ b c) z)
9.9b
(/ (* x y) (* z c))

rewrite28.0ms

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-/l*
14×prod-exp cbrt-unprod
13×cbrt-undiv div-exp
8×div-inv
7×associate-/r*
6×pow1
5×associate-*r*
4×add-log-exp
3×frac-2neg associate-*l* clear-num
1×associate-*r/ pow-prod-down *-commutative associate-/l/ unswap-sqr
Counts
4 → 141
Calls
4 calls:
7.0ms
(* 9.0 (/ (* x y) (* z c)))
4.0ms
(/ (* a t) c)
6.0ms
(/ (/ b c) z)
6.0ms
(/ (* x y) (* z c))

series104.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(* 9.0 (/ (* x y) (* z c)))
18.0ms
(/ (* a t) c)
21.0ms
(/ (/ b c) z)
27.0ms
(/ (* x y) (* z c))

simplify78.0ms

Algorithm
egg-herbie
Counts
153 → 153
Iterations

Useful iterations: 1 (17.0ms)

IterNodesCost
0665868
13259746
25002746

prune378.0ms

Filtered
153 candidates to 107 candidates (69.9%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New1521153
Fresh1910
Picked011
Done000
Total15311164

Merged error: 0.0b

Counts
164 → 11

regimes769.0ms

Accuracy

4% (11.9b remaining)

Error of 12.3b against oracle of 0.4b and baseline of 12.8b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09275
19275

end0.0ms

sample1.1s

Algorithm
intervals
Results
650.0ms12799×body80valid