Details

Time bar (total: 5.7s)

sample42.0ms

Algorithm
intervals
Results
20.0ms381×body80valid

simplify142.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 6 (141.0ms)

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: 11.6b

Counts
2 → 2

localize14.0ms

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)
3.9b
(/ (* t a) c)
11.7b
(/ (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)
4.0ms
(/ (fma x (* 9.0 y) b) (* z c))

series337.0ms

Counts
4 → 12
Calls
4 calls:
226.0ms
(fma (- 4.0) (/ (* t a) c) (/ (fma x (* 9.0 y) b) (* z c)))
32.0ms
(fma x (* 9.0 y) b)
20.0ms
(/ (* t a) c)
58.0ms
(/ (fma x (* 9.0 y) b) (* z c))

simplify39.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0284424
11137356
25001355

prune306.0ms

Filtered
78 candidates to 62 candidates (79.5%)
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New661278
Fresh011
Picked101
Done000
Total671380

Merged error: 3.9b

Counts
80 → 13

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b
(fma (* 9.0 x) y b)
2.2b
(/ (fma (* 9.0 x) y b) c)
3.9b
(/ (* t a) c)
6.0b
(* (/ 1 z) (/ (fma (* 9.0 x) y b) c))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
45×add-sqr-sqrt
37×times-frac
33×add-exp-log
30×*-un-lft-identity
28×add-cube-cbrt
23×add-cbrt-cube
13×associate-*r* associate-*l*
11×div-exp
9×prod-exp
7×cbrt-undiv
6×pow1 associate-/r* unswap-sqr
5×cbrt-unprod
4×expm1-log1p-u log1p-expm1-u div-inv associate-/l* add-log-exp
2×rec-exp frac-2neg 1-exp clear-num
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative fma-udef
Counts
4 → 120
Calls
4 calls:
1.0ms
(fma (* 9.0 x) y b)
3.0ms
(/ (fma (* 9.0 x) y b) c)
4.0ms
(/ (* t a) c)
10.0ms
(* (/ 1 z) (/ (fma (* 9.0 x) y b) c))

series188.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(fma (* 9.0 x) y b)
60.0ms
(/ (fma (* 9.0 x) y b) c)
18.0ms
(/ (* t a) c)
77.0ms
(* (/ 1 z) (/ (fma (* 9.0 x) y b) c))

simplify65.0ms

Algorithm
egg-herbie
Counts
132 → 132
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
0491790
12242685
25001679

prune467.0ms

Filtered
132 candidates to 96 candidates (72.7%)
Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New1293132
Fresh21012
Picked011
Done000
Total13114145

Merged error: 3.9b

Counts
145 → 14

localize20.0ms

Local error

Found 4 expressions with local error:

0.1b
(fma (* 9.0 x) y b)
2.2b
(/ (fma (* 9.0 x) y b) c)
3.9b
(/ (* t a) c)
5.9b
(/ (/ (fma (* 9.0 x) y b) c) z)

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
87×times-frac
56×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
17×associate-/l*
16×add-exp-log add-cbrt-cube
9×associate-/r*
7×div-inv
6×cbrt-undiv div-exp
4×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
3×frac-2neg clear-num
1×prod-exp cbrt-unprod fma-udef associate-/l/
Counts
4 → 134
Calls
4 calls:
1.0ms
(fma (* 9.0 x) y b)
3.0ms
(/ (fma (* 9.0 x) y b) c)
5.0ms
(/ (* t a) c)
7.0ms
(/ (/ (fma (* 9.0 x) y b) c) z)

series192.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(fma (* 9.0 x) y b)
65.0ms
(/ (fma (* 9.0 x) y b) c)
28.0ms
(/ (* t a) c)
56.0ms
(/ (/ (fma (* 9.0 x) y b) c) z)

simplify62.0ms

Algorithm
egg-herbie
Counts
146 → 146
Iterations

Useful iterations: 1 (17.0ms)

IterNodesCost
04841010
11799945
25001945

prune540.0ms

Filtered
146 candidates to 116 candidates (79.5%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New1442146
Fresh4812
Picked101
Done011
Total14911160

Merged error: 3.9b

Counts
160 → 11

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b
(fma (* 9.0 x) y b)
2.2b
(/ (fma (* 9.0 x) y b) c)
5.9b
(/ (/ (fma (* 9.0 x) y b) c) z)
7.0b
(* t (/ a c))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
94×times-frac
67×add-sqr-sqrt
62×add-cube-cbrt *-un-lft-identity
16×add-exp-log add-cbrt-cube associate-/l*
13×associate-*r*
7×div-inv
6×pow1 associate-/r*
5×cbrt-undiv div-exp
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×associate-*l*
2×frac-2neg prod-exp clear-num cbrt-unprod unswap-sqr
1×associate-*r/ pow-prod-down *-commutative fma-udef associate-/l/
Counts
4 → 145
Calls
4 calls:
1.0ms
(fma (* 9.0 x) y b)
3.0ms
(/ (fma (* 9.0 x) y b) c)
7.0ms
(/ (/ (fma (* 9.0 x) y b) c) z)
7.0ms
(* t (/ a c))

series189.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(fma (* 9.0 x) y b)
69.0ms
(/ (fma (* 9.0 x) y b) c)
61.0ms
(/ (/ (fma (* 9.0 x) y b) c) z)
21.0ms
(* t (/ a c))

simplify65.0ms

Algorithm
egg-herbie
Counts
157 → 157
Iterations

Useful iterations: 1 (18.0ms)

IterNodesCost
05351058
11977993
25001993

prune525.0ms

Filtered
157 candidates to 124 candidates (79.0%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New1561157
Fresh099
Picked101
Done011
Total15711168

Merged error: 3.9b

Counts
168 → 11

regimes816.0ms

Accuracy

7.4% (8.3b remaining)

Error of 11.9b against oracle of 3.5b and baseline of 12.6b

bsearch443.0ms

Steps
ItersRangePoint
9
1.7545764295574781e+59
2.995244313726341e+68
1.1663941841188367e+65
9
4.321237752559463e-255
2.514290523383359e-246
5.652962203766836e-255
10
-6.248716202445028e-259
-3.8580680982119715e-271
-5.42085497994599e-267
9
-1.5741418919705113e-125
-3.0875190169749237e-132
-1.9259666714551233e-128
8
-20621808713.972477
-30828784.812898636
-1480066741.3480198

simplify6.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 3 (2.0ms)

IterNodesCost
05151
15451
26051
36617
47517
58817
610017
710717
810817
910817

end0.0ms

sample1.2s

Algorithm
intervals
Results
637.0ms12799×body80valid