Details

Time bar (total: 17.3s)

sample537.0ms

Algorithm
intervals
Results
521.0ms272×body80valid

simplify68.0ms

Counts
1 → 1
Iterations

Useful iterations: 3 (16.0ms)

IterNodesCost
01517
12617
23817
35015
46015
56415
done6415

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 10.4b

localize26.0ms

Local error

Found 3 expressions with local error:

1.3b
(fma (/ y t) b a)
3.4b
(fma (/ y t) z x)
10.2b
(/ (fma (/ y t) z x) (+ (fma (/ y t) b a) 1.0))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
20×*-un-lft-identity
12×add-sqr-sqrt add-cube-cbrt times-frac
5×add-exp-log add-cbrt-cube
4×associate-/r* distribute-lft-out
3×pow1 expm1-log1p-u log1p-expm1-u associate-/l* add-log-exp
2×associate-/r/ fma-udef
1×cbrt-undiv frac-2neg flip3-+ div-exp clear-num flip-+ div-inv
Counts
3 → 55
Calls
3 calls:
1.0ms
(fma (/ y t) b a)
1.0ms
(fma (/ y t) z x)
36.0ms
(/ (fma (/ y t) z x) (+ (fma (/ y t) b a) 1.0))

series844.0ms

Counts
3 → 9
Calls
3 calls:
57.0ms
(fma (/ y t) b a)
68.0ms
(fma (/ y t) z x)
719.0ms
(/ (fma (/ y t) z x) (+ (fma (/ y t) b a) 1.0))

simplify1.5s

Counts
64 → 64
Iterations

Useful iterations: 2 (121.0ms)

IterNodesCost
0901058
11661023
2439951
31585951
done5000951

prune294.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 9.8b

localize35.0ms

Local error

Found 4 expressions with local error:

10.2b
(/ (fma (/ y t) z x) (+ (* (* (cbrt (fma (/ y t) b a)) (cbrt (fma (/ y t) b a))) (cbrt (fma (/ y t) b a))) 1.0))
11.4b
(cbrt (fma (/ y t) b a))
11.4b
(cbrt (fma (/ y t) b a))
11.4b
(cbrt (fma (/ y t) b a))

rewrite91.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×cbrt-prod times-frac
6×add-exp-log add-cbrt-cube
4×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 associate-/r* associate-/l*
2×associate-/r/
1×cbrt-undiv frac-2neg flip3-+ div-exp clear-num flip-+ div-inv
Counts
4 → 70
Calls
4 calls:
83.0ms
(/ (fma (/ y t) z x) (+ (* (* (cbrt (fma (/ y t) b a)) (cbrt (fma (/ y t) b a))) (cbrt (fma (/ y t) b a))) 1.0))
2.0ms
(cbrt (fma (/ y t) b a))
2.0ms
(cbrt (fma (/ y t) b a))
2.0ms
(cbrt (fma (/ y t) b a))

series1.5s

Counts
4 → 12
Calls
4 calls:
742.0ms
(/ (fma (/ y t) z x) (+ (* (* (cbrt (fma (/ y t) b a)) (cbrt (fma (/ y t) b a))) (cbrt (fma (/ y t) b a))) 1.0))
245.0ms
(cbrt (fma (/ y t) b a))
243.0ms
(cbrt (fma (/ y t) b a))
258.0ms
(cbrt (fma (/ y t) b a))

simplify1.3s

Counts
82 → 82
Iterations

Useful iterations: done (1.3s)

IterNodesCost
01102091
12262023
26041171
319081155
done50011134

prune500.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 9.8b

localize15.0ms

Local error

Found 4 expressions with local error:

0.7b
(/ 1 (/ (+ 1.0 (fma (/ y t) b a)) (fma (/ y t) z x)))
1.3b
(fma (/ y t) b a)
3.4b
(fma (/ y t) z x)
10.2b
(/ (+ 1.0 (fma (/ y t) b a)) (fma (/ y t) z x))

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
108×times-frac
94×*-un-lft-identity
62×add-sqr-sqrt add-cube-cbrt
19×associate-/r*
17×add-exp-log
16×distribute-lft-out
11×add-cbrt-cube
8×div-exp
7×associate-/l*
6×div-inv
5×pow1
4×cbrt-undiv expm1-log1p-u log1p-expm1-u add-log-exp
2×rec-exp frac-2neg 1-exp clear-num fma-udef associate-/l/
1×pow-flip flip3-+ associate-/r/ flip-+ inv-pow
Counts
4 → 145
Calls
4 calls:
35.0ms
(/ 1 (/ (+ 1.0 (fma (/ y t) b a)) (fma (/ y t) z x)))
1.0ms
(fma (/ y t) b a)
1.0ms
(fma (/ y t) z x)
20.0ms
(/ (+ 1.0 (fma (/ y t) b a)) (fma (/ y t) z x))

series1.2s

Counts
4 → 12
Calls
4 calls:
690.0ms
(/ 1 (/ (+ 1.0 (fma (/ y t) b a)) (fma (/ y t) z x)))
64.0ms
(fma (/ y t) b a)
61.0ms
(fma (/ y t) z x)
344.0ms
(/ (+ 1.0 (fma (/ y t) b a)) (fma (/ y t) z x))

simplify2.7s

Counts
157 → 157
Iterations

Useful iterations: 3 (1.3s)

IterNodesCost
01863710
13803411
29303116
335703092
done50003092

prune586.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 9.8b

localize33.0ms

Local error

Found 4 expressions with local error:

0.5b
(/ 1 (+ 1.0 (fma (/ y t) b a)))
1.3b
(fma (/ y t) b a)
3.4b
(fma (/ y t) z x)
10.1b
(/ (/ 1 (+ 1.0 (fma (/ y t) b a))) (/ 1 (fma (/ y t) z x)))

rewrite111.0ms

Algorithm
rewrite-expression-head
Rules
585×times-frac
350×*-un-lft-identity
258×add-sqr-sqrt add-cube-cbrt
48×add-exp-log
46×distribute-lft-out
35×div-inv
34×div-exp
31×associate-/r/
21×associate-/l*
18×add-cbrt-cube
17×associate-/r*
15×flip3-+ flip-+
9×cbrt-undiv rec-exp 1-exp
5×pow1
4×expm1-log1p-u log1p-expm1-u add-log-exp
2×frac-2neg clear-num fma-udef
1×pow-flip associate-/l/ inv-pow
Counts
4 → 358
Calls
4 calls:
13.0ms
(/ 1 (+ 1.0 (fma (/ y t) b a)))
0.0ms
(fma (/ y t) b a)
0.0ms
(fma (/ y t) z x)
66.0ms
(/ (/ 1 (+ 1.0 (fma (/ y t) b a))) (/ 1 (fma (/ y t) z x)))

series1.0s

Counts
4 → 12
Calls
4 calls:
179.0ms
(/ 1 (+ 1.0 (fma (/ y t) b a)))
58.0ms
(fma (/ y t) b a)
56.0ms
(fma (/ y t) z x)
730.0ms
(/ (/ 1 (+ 1.0 (fma (/ y t) b a))) (/ 1 (fma (/ y t) z x)))

simplify2.0s

Counts
370 → 370
Iterations

Useful iterations: done (2.0s)

IterNodesCost
047612701
1130110590
224009804
done50009702

prune727.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 9.8b

regimes668.0ms

Accuracy

55.1% (1.3b remaining)

Error of 12.8b against oracle of 11.6b and baseline of 14.4b

bsearch143.0ms

Steps
ItersRangePoint
7
1.471769894292243e-54
3.377665568612396e-52
2.0640658126869295e-53
6
-1.3616639934304134e+21
-1.4451647900260449e+20
-3.045395840249753e+20

simplify7.0ms

Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
02655
13541
done3541

end0.0ms

sample1.4s

Algorithm
intervals
Results
931.0ms8322×body80valid