Details

Time bar (total: 5.9s)

sample48.0ms

Algorithm
intervals
Results
20.0ms410×body80valid

simplify139.0ms

Counts
1 → 1
Iterations

Useful iterations: 6 (138.0ms)

IterNodesCost
0389
11039
23279
39219
419969
548419
650018
done50018

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 13.9b

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)
6.2b
(/ (* t a) c)
13.3b
(/ (fma x (* 9.0 y) b) (* z c))

rewrite22.0ms

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:
0.0ms
(fma (- 4.0) (/ (* t a) c) (/ (fma x (* 9.0 y) b) (* z c)))
0.0ms
(fma x (* 9.0 y) b)
12.0ms
(/ (* t a) c)
8.0ms
(/ (fma x (* 9.0 y) b) (* z c))

series338.0ms

Counts
4 → 12
Calls
4 calls:
221.0ms
(fma (- 4.0) (/ (* t a) c) (/ (fma x (* 9.0 y) b) (* z c)))
38.0ms
(fma x (* 9.0 y) b)
21.0ms
(/ (* t a) c)
59.0ms
(/ (fma x (* 9.0 y) b) (* z c))

simplify36.0ms

Counts
78 → 78
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0284424
11137356
25001355
done5001355

prune309.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 4.7b

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b
(fma (* 9.0 x) y b)
3.0b
(/ (fma (* 9.0 x) y b) c)
6.2b
(/ (* t a) c)
6.3b
(* (/ 1 z) (/ (fma (* 9.0 x) y b) c))

rewrite45.0ms

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:
0.0ms
(fma (* 9.0 x) y b)
5.0ms
(/ (fma (* 9.0 x) y b) c)
9.0ms
(/ (* t a) c)
26.0ms
(* (/ 1 z) (/ (fma (* 9.0 x) y b) c))

series203.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(fma (* 9.0 x) y b)
66.0ms
(/ (fma (* 9.0 x) y b) c)
20.0ms
(/ (* t a) c)
83.0ms
(* (/ 1 z) (/ (fma (* 9.0 x) y b) c))

simplify57.0ms

Counts
132 → 132
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0491790
12242685
25001679
done5001679

prune489.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 4.7b

localize21.0ms

Local error

Found 4 expressions with local error:

0.1b
(fma (* 9.0 x) y b)
3.0b
(/ (fma (* 9.0 x) y b) c)
4.7b
(* t (/ a c))
6.3b
(* (/ 1 z) (/ (fma (* 9.0 x) y b) c))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
56×add-sqr-sqrt
44×times-frac
36×*-un-lft-identity
34×add-cube-cbrt
33×add-exp-log
26×associate-*r*
23×add-cbrt-cube
16×associate-*l*
10×div-exp prod-exp
8×pow1 unswap-sqr
6×cbrt-undiv cbrt-unprod
4×expm1-log1p-u log1p-expm1-u div-inv add-log-exp
3×associate-/r* associate-/l*
2×rec-exp 1-exp associate-*r/ pow-prod-down *-commutative
1×frac-times frac-2neg associate-*l/ clear-num fma-udef
Counts
4 → 131
Calls
4 calls:
0.0ms
(fma (* 9.0 x) y b)
5.0ms
(/ (fma (* 9.0 x) y b) c)
13.0ms
(* t (/ a c))
23.0ms
(* (/ 1 z) (/ (fma (* 9.0 x) y b) c))

series204.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(fma (* 9.0 x) y b)
66.0ms
(/ (fma (* 9.0 x) y b) c)
20.0ms
(* t (/ a c))
83.0ms
(* (/ 1 z) (/ (fma (* 9.0 x) y b) c))

simplify61.0ms

Counts
143 → 143
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0542838
12416733
25001727
done5001727

prune533.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 4.7b

localize21.0ms

Local error

Found 4 expressions with local error:

0.1b
(fma (* 9.0 x) y b)
3.0b
(/ (fma (* 9.0 x) y b) c)
4.7b
(* t (/ a c))
6.3b
(/ (/ (fma (* 9.0 x) y b) c) z)

rewrite35.0ms

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:
0.0ms
(fma (* 9.0 x) y b)
5.0ms
(/ (fma (* 9.0 x) y b) c)
13.0ms
(* t (/ a c))
11.0ms
(/ (/ (fma (* 9.0 x) y b) c) z)

series189.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(fma (* 9.0 x) y b)
69.0ms
(/ (fma (* 9.0 x) y b) c)
21.0ms
(* t (/ a c))
64.0ms
(/ (/ (fma (* 9.0 x) y b) c) z)

simplify55.0ms

Counts
157 → 157
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
05351058
11977993
25001993
done5001993

prune625.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 4.7b

regimes1.1s

Accuracy

54.9% (3.5b remaining)

Error of 7.5b against oracle of 4.0b and baseline of 11.7b

bsearch2.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06165
16165
done6165

end0.0ms

sample1.3s

Algorithm
intervals
Results
555.0ms12833×body80valid