Details

Time bar (total: 5.9s)

sample45.0ms

Algorithm
intervals
Results
21.0ms419×body80valid

simplify153.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 6 (151.0ms)

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: 11.7b

Counts
2 → 2

localize17.0ms

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)
7.2b
(/ (* t a) c)
11.6b
(/ (fma x (* 9.0 y) b) (* z c))

rewrite12.0ms

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)
4.0ms
(/ (* t a) c)
5.0ms
(/ (fma x (* 9.0 y) b) (* z c))

series339.0ms

Counts
4 → 12
Calls
4 calls:
228.0ms
(fma (- 4.0) (/ (* t a) c) (/ (fma x (* 9.0 y) b) (* z c)))
33.0ms
(fma x (* 9.0 y) b)
24.0ms
(/ (* t a) c)
54.0ms
(/ (fma x (* 9.0 y) b) (* z c))

simplify48.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0284424
11137356
25001355

prune323.0ms

Filtered
78 candidates to 62 candidates (79.5%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New69978
Fresh011
Picked101
Done000
Total701080

Merged error: 4.9b

Counts
80 → 10

localize15.0ms

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)
4.2b
(/ t (/ c a))
11.6b
(/ (fma x (* 9.0 y) b) (* z c))

rewrite16.0ms

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)
6.0ms
(/ t (/ c a))
5.0ms
(/ (fma x (* 9.0 y) b) (* z c))

series335.0ms

Counts
4 → 12
Calls
4 calls:
214.0ms
(fma (- 4.0) (/ t (/ c a)) (/ (fma x (* 9.0 y) b) (* z c)))
36.0ms
(fma x (* 9.0 y) b)
23.0ms
(/ t (/ c a))
62.0ms
(/ (fma x (* 9.0 y) b) (* z c))

simplify66.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0489787
11882713
25001712

prune529.0ms

Filtered
127 candidates to 102 candidates (80.3%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New1207127
Fresh639
Picked101
Done000
Total12710137

Merged error: 4.9b

Counts
137 → 10

localize31.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
1.3b
(/ (* (cbrt t) (cbrt t)) (/ (* (cbrt c) (cbrt c)) (* (cbrt a) (cbrt a))))
11.6b
(/ (fma x (* 9.0 y) b) (* z c))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
50×add-exp-log
24×add-cbrt-cube
20×cbrt-undiv div-exp
14×prod-exp cbrt-unprod
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
6×cbrt-prod associate-/r*
4×pow1 expm1-log1p-u log1p-expm1-u div-inv associate-/l* add-log-exp
2×frac-2neg pow1/3 clear-num
1×associate-/r/
Counts
4 → 93
Calls
4 calls:
1.0ms
(cbrt t)
1.0ms
(cbrt t)
15.0ms
(/ (* (cbrt t) (cbrt t)) (/ (* (cbrt c) (cbrt c)) (* (cbrt a) (cbrt a))))
5.0ms
(/ (fma x (* 9.0 y) b) (* z c))

series579.0ms

Counts
4 → 12
Calls
4 calls:
184.0ms
(cbrt t)
190.0ms
(cbrt t)
148.0ms
(/ (* (cbrt t) (cbrt t)) (/ (* (cbrt c) (cbrt c)) (* (cbrt a) (cbrt a))))
56.0ms
(/ (fma x (* 9.0 y) b) (* z c))

simplify81.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 2 (67.0ms)

IterNodesCost
0555929
12431710
25001626

prune535.0ms

Filtered
105 candidates to 75 candidates (71.4%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New1041105
Fresh099
Picked011
Done000
Total10411115

Merged error: 4.9b

Counts
115 → 11

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b
(fma x (* 9.0 y) b)
0.5b
(/ 1 (/ (* z c) (fma x (* 9.0 y) b)))
4.2b
(/ t (/ c a))
11.3b
(/ (* z c) (fma x (* 9.0 y) b))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
111×times-frac
64×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
35×add-exp-log
23×associate-/r* add-cbrt-cube
17×div-exp
11×div-inv
10×cbrt-undiv
7×associate-/l*
5×pow1
4×expm1-log1p-u prod-exp log1p-expm1-u add-log-exp
3×rec-exp frac-2neg 1-exp clear-num
2×associate-/r/ cbrt-unprod
1×pow-flip fma-udef inv-pow
Counts
4 → 163
Calls
4 calls:
1.0ms
(fma x (* 9.0 y) b)
7.0ms
(/ 1 (/ (* z c) (fma x (* 9.0 y) b)))
6.0ms
(/ t (/ c a))
5.0ms
(/ (* z c) (fma x (* 9.0 y) b))

series194.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(fma x (* 9.0 y) b)
72.0ms
(/ 1 (/ (* z c) (fma x (* 9.0 y) b)))
22.0ms
(/ t (/ c a))
65.0ms
(/ (* z c) (fma x (* 9.0 y) b))

simplify88.0ms

Algorithm
egg-herbie
Counts
175 → 175
Iterations

Useful iterations: 2 (68.0ms)

IterNodesCost
06361166
128471047
250011014

prune576.0ms

Filtered
175 candidates to 117 candidates (66.9%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New1732175
Fresh189
Picked101
Done011
Total17511186

Merged error: 4.9b

Counts
186 → 11

regimes431.0ms

Accuracy

30.3% (3.8b remaining)

Error of 7.5b against oracle of 3.7b and baseline of 9.1b

bsearch210.0ms

Steps
ItersRangePoint
4
4.1973217321062104e-88
7.262113184293509e-88
6.897014925367324e-88
8
1.3794043017579008e-115
5.809286265253969e-112
4.1526971335626677e-112
7
-5.9179648209075776e+23
-4.014649678070374e+21
-1.0289681349350793e+22

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05234
15234

end0.0ms

sample1.2s

Algorithm
intervals
Results
650.0ms12761×body80valid