Details

Time bar (total: 5.9s)

sample43.0ms

Algorithm
intervals
Results
19.0ms390×body80valid

simplify159.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 6 (157.0ms)

IterNodesCost
0389
11039
23279
39219
419969
548419
650018

prune11.0ms

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: 10.8b

Counts
2 → 2

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (- 4.0) (/ (* t a) c) (/ (fma x (* 9.0 y) b) (* z c)))
0.3b
(fma x (* 9.0 y) b)
3.9b
(/ (* t a) c)
12.2b
(/ (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)
6.0ms
(/ (fma x (* 9.0 y) b) (* z c))

series355.0ms

Counts
4 → 12
Calls
4 calls:
233.0ms
(fma (- 4.0) (/ (* t a) c) (/ (fma x (* 9.0 y) b) (* z c)))
40.0ms
(fma x (* 9.0 y) b)
21.0ms
(/ (* t a) c)
60.0ms
(/ (fma x (* 9.0 y) b) (* z c))

simplify48.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0284424
11137356
25001355

prune364.0ms

Filtered
78 candidates to 62 candidates (79.5%)
Pruning

16 alts after pruning (16 fresh and 0 done)

PrunedKeptTotal
New621678
Fresh101
Picked101
Done000
Total641680

Merged error: 3.5b

Counts
80 → 16

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b
(fma 9.0 (/ (* x y) (* z c)) (/ b (* z c)))
3.9b
(/ (* t a) c)
6.6b
(/ b (* z c))
9.8b
(/ (* x y) (* z c))

rewrite19.0ms

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)))
5.0ms
(/ (* t a) c)
5.0ms
(/ b (* z c))
6.0ms
(/ (* x y) (* z c))

series176.0ms

Counts
4 → 12
Calls
4 calls:
95.0ms
(fma 9.0 (/ (* x y) (* z c)) (/ b (* z c)))
22.0ms
(/ (* t a) c)
22.0ms
(/ b (* z c))
36.0ms
(/ (* x y) (* z c))

simplify58.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 1 (16.0ms)

IterNodesCost
0348421
11779343
25001343

prune384.0ms

Filtered
91 candidates to 62 candidates (68.1%)
Pruning

16 alts after pruning (16 fresh and 0 done)

PrunedKeptTotal
New811091
Fresh9615
Picked101
Done000
Total9116107

Merged error: 0.0b

Counts
107 → 16

localize17.0ms

Local error

Found 4 expressions with local error:

3.9b
(/ (* t a) c)
4.2b
(/ x (/ (* z c) y))
4.4b
(/ (* z c) y)
6.6b
(/ b (* z c))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
42×times-frac
28×add-exp-log add-cbrt-cube
26×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
14×associate-/r*
11×cbrt-undiv div-exp
8×div-inv associate-/l*
4×pow1 expm1-log1p-u frac-2neg prod-exp clear-num cbrt-unprod log1p-expm1-u add-log-exp
1×associate-/r/
Counts
4 → 119
Calls
4 calls:
5.0ms
(/ (* t a) c)
6.0ms
(/ x (/ (* z c) y))
5.0ms
(/ (* z c) y)
5.0ms
(/ b (* z c))

series108.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(/ (* t a) c)
35.0ms
(/ x (/ (* z c) y))
21.0ms
(/ (* z c) y)
24.0ms
(/ b (* z c))

simplify66.0ms

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 1 (18.0ms)

IterNodesCost
0465594
12245520
25001520

prune595.0ms

Filtered
131 candidates to 98 candidates (74.8%)
Pruning

17 alts after pruning (17 fresh and 0 done)

PrunedKeptTotal
New12011131
Fresh9615
Picked101
Done000
Total13017147

Merged error: 0.0b

Counts
147 → 17

localize18.0ms

Local error

Found 4 expressions with local error:

3.9b
(/ (* t a) c)
5.4b
(/ (/ x (* z c)) (/ 1 y))
5.8b
(/ x (* z c))
6.6b
(/ b (* z c))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
214×times-frac
94×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
58×add-exp-log
40×add-cbrt-cube
32×div-exp
26×div-inv
19×cbrt-undiv
18×associate-/r*
14×associate-/l*
7×prod-exp
5×cbrt-unprod
4×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
3×rec-exp 1-exp
1×associate-/r/ associate-/l/
Counts
4 → 212
Calls
4 calls:
5.0ms
(/ (* t a) c)
10.0ms
(/ (/ x (* z c)) (/ 1 y))
5.0ms
(/ x (* z c))
5.0ms
(/ b (* z c))

series110.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(/ (* t a) c)
35.0ms
(/ (/ x (* z c)) (/ 1 y))
22.0ms
(/ x (* z c))
30.0ms
(/ b (* z c))

simplify127.0ms

Algorithm
egg-herbie
Counts
224 → 224
Iterations

Useful iterations: 1 (34.0ms)

IterNodesCost
010061595
147661351
250011351

prune811.0ms

Filtered
224 candidates to 139 candidates (62.1%)
Pruning

16 alts after pruning (16 fresh and 0 done)

PrunedKeptTotal
New2204224
Fresh41216
Picked101
Done000
Total22516241

Merged error: 0.0b

Counts
241 → 16

regimes800.0ms

Accuracy

18% (9.2b remaining)

Error of 9.3b against oracle of 0.1b and baseline of 11.3b

bsearch339.0ms

Steps
ItersRangePoint
11
8.452538847855022e-82
4.476780425815652e-62
2.0655766129224776e-74
9
-1.0091538036873811e-44
-6.153971486559224e-50
-3.4478524687081832e-46
8
-1.7112425219335298e+177
-1.3423519974333166e+174
-1.6907985232598968e+177

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05342
15342

end0.0ms

sample1.2s

Algorithm
intervals
Results
647.0ms12665×body80valid