Details

Time bar (total: 6.1s)

sample41.0ms

Algorithm
intervals
Results
19.0ms392×body80valid

simplify142.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 6 (140.0ms)

IterNodesCost
0389
11039
23279
39219
419969
548419
650018

prune12.0ms

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: 9.7b

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)
7.1b
(/ (* t a) c)
10.0b
(/ (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))

series352.0ms

Counts
4 → 12
Calls
4 calls:
232.0ms
(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)
59.0ms
(/ (fma x (* 9.0 y) b) (* z c))

simplify41.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (33.0ms)

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: 2.5b

Counts
80 → 10

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b
(fma (* 9.0 x) y b)
2.0b
(/ (fma (* 9.0 x) y b) c)
4.8b
(* (/ 1 z) (/ (fma (* 9.0 x) y b) c))
7.1b
(/ (* t a) c)

rewrite26.0ms

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)
12.0ms
(* (/ 1 z) (/ (fma (* 9.0 x) y b) c))
6.0ms
(/ (* t a) c)

series211.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(fma (* 9.0 x) y b)
69.0ms
(/ (fma (* 9.0 x) y b) c)
81.0ms
(* (/ 1 z) (/ (fma (* 9.0 x) y b) c))
26.0ms
(/ (* t a) c)

simplify68.0ms

Algorithm
egg-herbie
Counts
132 → 132
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0491790
12242685
25001679

prune492.0ms

Filtered
132 candidates to 96 candidates (72.7%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New1302132
Fresh189
Picked011
Done000
Total13111142

Merged error: 2.5b

Counts
142 → 11

localize26.0ms

Local error

Found 4 expressions with local error:

2.0b
(/ (fma (* 9.0 x) y b) c)
2.2b
(* (cbrt (/ 1 z)) (/ (fma (* 9.0 x) y b) c))
2.9b
(* (* (cbrt (/ 1 z)) (cbrt (/ 1 z))) (* (cbrt (/ 1 z)) (/ (fma (* 9.0 x) y b) c)))
7.1b
(/ (* t a) c)

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
51×add-sqr-sqrt
38×times-frac
37×add-exp-log
31×*-un-lft-identity
29×add-cube-cbrt
26×cbrt-div
25×add-cbrt-cube
19×cbrt-prod
18×pow1 frac-times
17×associate-*l*
16×prod-exp cbrt-unprod
14×associate-*r*
12×associate-*r/ associate-*l/
9×pow-prod-down
8×unswap-sqr
6×cbrt-undiv div-exp associate-/r*
4×expm1-log1p-u log1p-expm1-u div-inv associate-/l* add-log-exp
2×frac-2neg clear-num *-commutative
Counts
4 → 150
Calls
4 calls:
3.0ms
(/ (fma (* 9.0 x) y b) c)
12.0ms
(* (cbrt (/ 1 z)) (/ (fma (* 9.0 x) y b) c))
18.0ms
(* (* (cbrt (/ 1 z)) (cbrt (/ 1 z))) (* (cbrt (/ 1 z)) (/ (fma (* 9.0 x) y b) c)))
5.0ms
(/ (* t a) c)

series593.0ms

Counts
4 → 12
Calls
4 calls:
71.0ms
(/ (fma (* 9.0 x) y b) c)
382.0ms
(* (cbrt (/ 1 z)) (/ (fma (* 9.0 x) y b) c))
118.0ms
(* (* (cbrt (/ 1 z)) (cbrt (/ 1 z))) (* (cbrt (/ 1 z)) (/ (fma (* 9.0 x) y b) c)))
22.0ms
(/ (* t a) c)

simplify90.0ms

Algorithm
egg-herbie
Counts
162 → 162
Iterations

Useful iterations: 2 (75.0ms)

IterNodesCost
06491460
128641197
250011138

prune649.0ms

Filtered
162 candidates to 112 candidates (69.1%)
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New1620162
Fresh099
Picked011
Done011
Total16211173

Merged error: 2.5b

Counts
173 → 11

localize16.0ms

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)
5.5b
(* t (/ a c))
10.0b
(/ (fma x (* 9.0 y) b) (* z c))

rewrite16.0ms

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-*r*
6×pow1
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×cbrt-undiv div-exp associate-*l* prod-exp cbrt-unprod associate-/l*
2×fma-udef div-inv unswap-sqr
1×frac-2neg associate-*r/ pow-prod-down clear-num associate-/r* *-commutative
Counts
4 → 77
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)
7.0ms
(* t (/ a c))
5.0ms
(/ (fma x (* 9.0 y) b) (* z c))

series534.0ms

Counts
4 → 12
Calls
4 calls:
407.0ms
(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))
65.0ms
(/ (fma x (* 9.0 y) b) (* z c))

simplify49.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0339472
11368404
25001403

prune299.0ms

Filtered
89 candidates to 68 candidates (76.4%)
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New87289
Fresh178
Picked101
Done022
Total8911100

Merged error: 2.5b

Counts
100 → 11

regimes857.0ms

Accuracy

50.9% (4.4b remaining)

Error of 8.2b against oracle of 3.8b and baseline of 12.8b

bsearch3.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05981
15981

end0.0ms

sample1.2s

Algorithm
intervals
Results
637.0ms12803×body80valid