Details

Time bar (total: 5.7s)

sample50.0ms

Algorithm
intervals
Results
26.0ms387×body80valid

simplify161.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 6 (159.0ms)

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: 13.2b

Counts
2 → 2

localize15.0ms

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)
6.1b
(/ (* t a) c)
11.2b
(/ (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)
5.0ms
(/ (fma x (* 9.0 y) b) (* z c))

series342.0ms

Counts
4 → 12
Calls
4 calls:
226.0ms
(fma (- 4.0) (/ (* t a) c) (/ (fma x (* 9.0 y) b) (* z c)))
33.0ms
(fma x (* 9.0 y) b)
21.0ms
(/ (* t a) c)
61.0ms
(/ (fma x (* 9.0 y) b) (* z c))

simplify52.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0284424
11137356
25001355

prune311.0ms

Filtered
78 candidates to 62 candidates (79.5%)
Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New641478
Fresh011
Picked101
Done000
Total651580

Merged error: 6.4b

Counts
80 → 15

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt c)
0.6b
(cbrt c)
3.9b
(* (/ t (* (cbrt c) (cbrt c))) (/ a (cbrt c)))
11.2b
(/ (fma x (* 9.0 y) b) (* z c))

rewrite28.0ms

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)
1.0ms
(cbrt c)
16.0ms
(* (/ t (* (cbrt c) (cbrt c))) (/ a (cbrt c)))
5.0ms
(/ (fma x (* 9.0 y) b) (* z c))

series485.0ms

Counts
4 → 12
Calls
4 calls:
186.0ms
(cbrt c)
187.0ms
(cbrt c)
49.0ms
(* (/ t (* (cbrt c) (cbrt c))) (/ a (cbrt c)))
63.0ms
(/ (fma x (* 9.0 y) b) (* z c))

simplify80.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 2 (70.0ms)

IterNodesCost
0552862
12701698
25001661

prune506.0ms

Filtered
122 candidates to 97 candidates (79.5%)
Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New1211122
Fresh01414
Picked101
Done000
Total12215137

Merged error: 6.4b

Counts
137 → 15

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)
6.3b
(/ t (/ c a))
11.2b
(/ (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))
4.0ms
(/ (fma x (* 9.0 y) b) (* z c))

series325.0ms

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))
59.0ms
(/ (fma x (* 9.0 y) b) (* z c))

simplify64.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0489787
11882713
25001712

prune465.0ms

Filtered
127 candidates to 103 candidates (81.1%)
Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New1252127
Fresh21214
Picked101
Done000
Total12814142

Merged error: 6.4b

Counts
142 → 14

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)
5.2b
(* (/ t c) a)
11.2b
(/ (fma x (* 9.0 y) b) (* z c))

rewrite15.0ms

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))

series322.0ms

Counts
4 → 12
Calls
4 calls:
209.0ms
(fma (- 4.0) (* (/ t c) a) (/ (fma x (* 9.0 y) b) (* z c)))
32.0ms
(fma x (* 9.0 y) b)
22.0ms
(* (/ t c) a)
59.0ms
(/ (fma x (* 9.0 y) b) (* z c))

simplify56.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0317463
11134393
25001393

prune269.0ms

Filtered
89 candidates to 70 candidates (78.7%)
Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New89089
Fresh01313
Picked011
Done000
Total8914103

Merged error: 6.4b

Counts
103 → 14

regimes614.0ms

Accuracy

31.5% (5.3b remaining)

Error of 9.1b against oracle of 3.8b and baseline of 11.5b

bsearch137.0ms

Steps
ItersRangePoint
2
9.507977090183435e+74
1.105899439646366e+75
1.0477362906608574e+75
10
-1.8408030746107828e-50
-9.586900109143881e-63
-3.771915343270124e-54

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03816
13816

end0.0ms

sample1.3s

Algorithm
intervals
Results
765.0ms12847×body80valid