Details

Time bar (total: 5.1s)

sample47.0ms

Algorithm
intervals
Results
23.0ms395×body80valid

simplify171.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 6 (169.0ms)

IterNodesCost
0389
11039
23279
39219
419969
548419
650018

prune24.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 13.3b

Counts
2 → 2

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (- 4.0) (/ (* t a) c) (/ (fma x (* 9.0 y) b) (* z c)))
0.1b
(fma x (* 9.0 y) b)
6.2b
(/ (* t a) c)
12.6b
(/ (fma x (* 9.0 y) b) (* z c))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
14×add-exp-log add-cbrt-cube
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×times-frac
4×pow1 cbrt-undiv expm1-log1p-u div-exp associate-/r* log1p-expm1-u associate-/l* add-log-exp
2×frac-2neg prod-exp clear-num cbrt-unprod fma-udef div-inv
Counts
4 → 66
Calls
4 calls:
1.0ms
(fma (- 4.0) (/ (* t a) c) (/ (fma x (* 9.0 y) b) (* z c)))
1.0ms
(fma x (* 9.0 y) b)
5.0ms
(/ (* t a) c)
5.0ms
(/ (fma x (* 9.0 y) b) (* z c))

series332.0ms

Counts
4 → 12
Calls
4 calls:
223.0ms
(fma (- 4.0) (/ (* t a) c) (/ (fma x (* 9.0 y) b) (* z c)))
35.0ms
(fma x (* 9.0 y) b)
19.0ms
(/ (* t a) c)
55.0ms
(/ (fma x (* 9.0 y) b) (* z c))

simplify50.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0284424
11137356
25001355

prune329.0ms

Filtered
78 candidates to 62 candidates (79.5%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New671178
Fresh011
Picked101
Done000
Total681280

Merged error: 5.6b

Counts
80 → 12

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (- 4.0) (/ t (/ c a)) (/ (fma x (* 9.0 y) b) (* z c)))
0.1b
(fma x (* 9.0 y) b)
7.1b
(/ t (/ c a))
12.6b
(/ (fma x (* 9.0 y) b) (* z c))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
78×times-frac
48×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
14×add-exp-log associate-/r* add-cbrt-cube
6×div-inv associate-/l*
5×cbrt-undiv div-exp
4×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
2×frac-2neg clear-num fma-udef
1×prod-exp associate-/r/ cbrt-unprod
Counts
4 → 115
Calls
4 calls:
1.0ms
(fma (- 4.0) (/ t (/ c a)) (/ (fma x (* 9.0 y) b) (* z c)))
1.0ms
(fma x (* 9.0 y) b)
7.0ms
(/ t (/ c a))
5.0ms
(/ (fma x (* 9.0 y) b) (* z c))

series333.0ms

Counts
4 → 12
Calls
4 calls:
211.0ms
(fma (- 4.0) (/ t (/ c a)) (/ (fma x (* 9.0 y) b) (* z c)))
34.0ms
(fma x (* 9.0 y) b)
22.0ms
(/ t (/ c a))
65.0ms
(/ (fma x (* 9.0 y) b) (* z c))

simplify68.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
0489787
11882713
25001712

prune441.0ms

Filtered
127 candidates to 102 candidates (80.3%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New1243127
Fresh2911
Picked101
Done000
Total12712139

Merged error: 5.6b

Counts
139 → 12

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (- 4.0) (* (/ t c) a) (/ (fma x (* 9.0 y) b) (* z c)))
0.1b
(fma x (* 9.0 y) b)
6.1b
(* (/ t c) a)
12.6b
(/ (fma x (* 9.0 y) b) (* z c))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
14×add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
13×times-frac associate-*l*
6×pow1
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×cbrt-undiv div-exp associate-*r* prod-exp cbrt-unprod associate-/l*
2×fma-udef div-inv unswap-sqr
1×frac-2neg pow-prod-down associate-*l/ clear-num associate-/r* *-commutative
Counts
4 → 77
Calls
4 calls:
1.0ms
(fma (- 4.0) (* (/ t c) a) (/ (fma x (* 9.0 y) b) (* z c)))
1.0ms
(fma x (* 9.0 y) b)
6.0ms
(* (/ t c) a)
5.0ms
(/ (fma x (* 9.0 y) b) (* z c))

series310.0ms

Counts
4 → 12
Calls
4 calls:
203.0ms
(fma (- 4.0) (* (/ t c) a) (/ (fma x (* 9.0 y) b) (* z c)))
31.0ms
(fma x (* 9.0 y) b)
20.0ms
(* (/ t c) a)
56.0ms
(/ (fma x (* 9.0 y) b) (* z c))

simplify47.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0317463
11134393
25001393

prune290.0ms

Filtered
89 candidates to 69 candidates (77.5%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New88189
Fresh01111
Picked101
Done000
Total8912101

Merged error: 5.6b

Counts
101 → 12

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b
(fma 9.0 (/ (* x y) (* z c)) (/ b (* z c)))
4.7b
(/ b (* z c))
6.2b
(/ (* t a) c)
11.0b
(/ (* x y) (* z c))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
26×add-exp-log add-cbrt-cube
8×cbrt-undiv add-sqr-sqrt add-cube-cbrt *-un-lft-identity div-exp
7×times-frac
6×prod-exp cbrt-unprod
5×associate-/r* associate-/l*
4×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
3×frac-2neg clear-num div-inv
1×fma-udef
Counts
4 → 79
Calls
4 calls:
1.0ms
(fma 9.0 (/ (* x y) (* z c)) (/ b (* z c)))
4.0ms
(/ b (* z c))
8.0ms
(/ (* t a) c)
6.0ms
(/ (* x y) (* z c))

series162.0ms

Counts
4 → 12
Calls
4 calls:
93.0ms
(fma 9.0 (/ (* x y) (* z c)) (/ b (* z c)))
21.0ms
(/ b (* z c))
20.0ms
(/ (* t a) c)
28.0ms
(/ (* x y) (* z c))

simplify53.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
0348421
11779343
25001343

prune244.0ms

Filtered
91 candidates to 62 candidates (68.1%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New89291
Fresh3811
Picked101
Done000
Total9310103

Merged error: 0.0b

Counts
103 → 10

regimes826.0ms

Accuracy

53.7% (5.1b remaining)

Error of 5.3b against oracle of 0.2b and baseline of 11.3b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05682
15682

end0.0ms

sample1.3s

Algorithm
intervals
Results
759.0ms12776×body80valid