Details

Time bar (total: 6.6s)

sample42.0ms

Algorithm
intervals
Results
19.0ms404×body80valid

simplify164.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 6 (162.0ms)

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: 12.4b

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)))
0.1b
(fma x (* 9.0 y) b)
6.6b
(/ (* t a) c)
10.8b
(/ (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))

series336.0ms

Counts
4 → 12
Calls
4 calls:
218.0ms
(fma (- 4.0) (/ (* t a) c) (/ (fma x (* 9.0 y) b) (* z c)))
33.0ms
(fma x (* 9.0 y) b)
26.0ms
(/ (* t a) c)
59.0ms
(/ (fma x (* 9.0 y) b) (* z c))

simplify47.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0284424
11137356
25001355

prune323.0ms

Filtered
78 candidates to 62 candidates (79.5%)
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New651378
Fresh101
Picked101
Done000
Total671380

Merged error: 4.7b

Counts
80 → 13

localize23.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt c)
0.6b
(cbrt c)
4.0b
(* (/ t (* (cbrt c) (cbrt c))) (/ a (cbrt c)))
10.8b
(/ (fma x (* 9.0 y) b) (* z c))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
39×add-sqr-sqrt
31×times-frac
30×add-exp-log
23×add-cube-cbrt *-un-lft-identity add-cbrt-cube
22×associate-*r*
17×cbrt-prod
9×cbrt-undiv div-exp prod-exp cbrt-unprod
7×associate-*l*
6×pow1 unswap-sqr
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×div-inv associate-/l*
2×pow1/3
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num associate-/r* *-commutative
Counts
4 → 110
Calls
4 calls:
1.0ms
(cbrt c)
2.0ms
(cbrt c)
15.0ms
(* (/ t (* (cbrt c) (cbrt c))) (/ a (cbrt c)))
5.0ms
(/ (fma x (* 9.0 y) b) (* z c))

series504.0ms

Counts
4 → 12
Calls
4 calls:
195.0ms
(cbrt c)
192.0ms
(cbrt c)
59.0ms
(* (/ t (* (cbrt c) (cbrt c))) (/ a (cbrt c)))
57.0ms
(/ (fma x (* 9.0 y) b) (* z c))

simplify84.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 2 (73.0ms)

IterNodesCost
0552862
12701698
25001661

prune543.0ms

Filtered
122 candidates to 97 candidates (79.5%)
Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New1193122
Fresh11112
Picked101
Done000
Total12114135

Merged error: 4.4b

Counts
135 → 14

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt c)
4.0b
(* (/ t (* (cbrt c) (cbrt c))) (/ a (cbrt c)))
4.6b
(/ (fma x (* 9.0 y) b) c)
5.1b
(* (/ 1 z) (/ (fma x (* 9.0 y) b) c))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
75×add-sqr-sqrt
62×times-frac
49×add-exp-log
44×*-un-lft-identity
42×add-cube-cbrt
35×associate-*r*
32×add-cbrt-cube
20×associate-*l*
16×div-exp prod-exp
14×cbrt-prod
12×cbrt-undiv cbrt-unprod unswap-sqr
8×pow1
5×div-inv
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×associate-/r* associate-/l*
2×frac-times rec-exp 1-exp associate-*r/ pow-prod-down associate-*l/ *-commutative
1×frac-2neg pow1/3 clear-num
Counts
4 → 161
Calls
4 calls:
1.0ms
(cbrt c)
16.0ms
(* (/ t (* (cbrt c) (cbrt c))) (/ a (cbrt c)))
3.0ms
(/ (fma x (* 9.0 y) b) c)
11.0ms
(* (/ 1 z) (/ (fma x (* 9.0 y) b) c))

series410.0ms

Counts
4 → 12
Calls
4 calls:
207.0ms
(cbrt c)
51.0ms
(* (/ t (* (cbrt c) (cbrt c))) (/ a (cbrt c)))
68.0ms
(/ (fma x (* 9.0 y) b) c)
83.0ms
(* (/ 1 z) (/ (fma x (* 9.0 y) b) c))

simplify113.0ms

Algorithm
egg-herbie
Counts
173 → 173
Iterations

Useful iterations: 2 (97.0ms)

IterNodesCost
07931317
138741087
250011040

prune717.0ms

Filtered
173 candidates to 128 candidates (74.0%)
Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New1703173
Fresh21113
Picked101
Done000
Total17314187

Merged error: 4.4b

Counts
187 → 14

localize27.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt c)
4.0b
(* (/ t (* (cbrt c) (cbrt c))) (/ a (cbrt c)))
5.1b
(* (/ 1 z) (fma 9.0 (/ (* x y) c) (/ b c)))
6.7b
(/ (* x y) c)

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
53×add-sqr-sqrt
42×times-frac
39×add-exp-log
31×*-un-lft-identity
30×add-cube-cbrt
28×add-cbrt-cube
25×associate-*r*
20×associate-*l*
14×cbrt-prod
13×prod-exp
11×div-exp cbrt-unprod
10×cbrt-undiv
9×unswap-sqr
8×pow1
4×expm1-log1p-u log1p-expm1-u div-inv add-log-exp
3×associate-/r*
2×pow-prod-down associate-*l/ *-commutative fma-udef
1×distribute-rgt-in frac-times rec-exp frac-2neg distribute-lft-in pow1/3 1-exp associate-*r/ clear-num associate-/l*
Counts
4 → 136
Calls
4 calls:
1.0ms
(cbrt c)
16.0ms
(* (/ t (* (cbrt c) (cbrt c))) (/ a (cbrt c)))
7.0ms
(* (/ 1 z) (fma 9.0 (/ (* x y) c) (/ b c)))
5.0ms
(/ (* x y) c)

series376.0ms

Counts
4 → 12
Calls
4 calls:
198.0ms
(cbrt c)
59.0ms
(* (/ t (* (cbrt c) (cbrt c))) (/ a (cbrt c)))
96.0ms
(* (/ 1 z) (fma 9.0 (/ (* x y) c) (/ b c)))
22.0ms
(/ (* x y) c)

simplify104.0ms

Algorithm
egg-herbie
Counts
148 → 148
Iterations

Useful iterations: 2 (91.0ms)

IterNodesCost
07221106
13581897
25001850

prune585.0ms

Filtered
148 candidates to 107 candidates (72.3%)
Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New1462148
Fresh01313
Picked101
Done000
Total14715162

Merged error: 1.0b

Counts
162 → 15

regimes785.0ms

Accuracy

61.4% (3.7b remaining)

Error of 4.7b against oracle of 1.0b and baseline of 10.6b

bsearch177.0ms

Steps
ItersRangePoint
8
4.139654059656365e+24
2.0838965572943668e+29
2.990901774490909e+25
8
-3.5144341349313177e+62
-3.6475010530431803e+58
-3.7125079059769404e+58

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04938
14938

end0.0ms

sample1.1s

Algorithm
intervals
Results
627.0ms12865×body80valid