Details

Time bar (total: 23.8s)

sample60.0ms

Algorithm
intervals
Results
27.0ms268×body80valid

simplify70.0ms

Counts
1 → 1
Iterations

Useful iterations: 3 (27.0ms)

IterNodesCost
01517
12617
23817
35015
46015
56415
done6415

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 12.0b

localize14.0ms

Local error

Found 3 expressions with local error:

2.7b
(fma (/ y t) z x)
3.3b
(fma (/ y t) b a)
11.8b
(/ (fma (/ y t) z x) (+ (fma (/ y t) b a) 1.0))

rewrite20.0ms

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) z x)
1.0ms
(fma (/ y t) b a)
16.0ms
(/ (fma (/ y t) z x) (+ (fma (/ y t) b a) 1.0))

series822.0ms

Counts
3 → 9
Calls
3 calls:
70.0ms
(fma (/ y t) z x)
62.0ms
(fma (/ y t) b a)
689.0ms
(/ (fma (/ y t) z x) (+ (fma (/ y t) b a) 1.0))

simplify1.6s

Counts
64 → 64
Iterations

Useful iterations: 3 (390.0ms)

IterNodesCost
0901058
11661023
2438963
31578951
done5001951

prune423.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 11.4b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b
(/ 1 (+ (fma (/ y t) b a) 1.0))
2.7b
(fma (/ y t) z x)
3.3b
(fma (/ y t) b a)
11.3b
(* (fma (/ y t) z x) (/ 1 (+ (fma (/ y t) b a) 1.0)))

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
37×*-un-lft-identity
29×add-sqr-sqrt
26×times-frac
22×add-cube-cbrt
18×associate-*r*
17×add-exp-log
11×add-cbrt-cube
7×pow1 distribute-lft-out
4×expm1-log1p-u div-exp prod-exp associate-/r* associate-/r/ log1p-expm1-u add-log-exp
3×associate-*l* associate-/l* unswap-sqr
2×cbrt-undiv rec-exp flip3-+ 1-exp cbrt-unprod flip-+ fma-udef div-inv
1×pow-flip frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv *-commutative inv-pow
Counts
4 → 102
Calls
4 calls:
14.0ms
(/ 1 (+ (fma (/ y t) b a) 1.0))
0.0ms
(fma (/ y t) z x)
0.0ms
(fma (/ y t) b a)
40.0ms
(* (fma (/ y t) z x) (/ 1 (+ (fma (/ y t) b a) 1.0)))

series1.0s

Counts
4 → 12
Calls
4 calls:
185.0ms
(/ 1 (+ (fma (/ y t) b a) 1.0))
62.0ms
(fma (/ y t) z x)
57.0ms
(fma (/ y t) b a)
726.0ms
(* (fma (/ y t) z x) (/ 1 (+ (fma (/ y t) b a) 1.0)))

simplify2.8s

Counts
114 → 114
Iterations

Useful iterations: 2 (159.0ms)

IterNodesCost
01291750
12681556
27471398
329211398
done50001398

prune427.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 11.4b

localize47.0ms

Local error

Found 4 expressions with local error:

10.3b
(cbrt (fma (/ y t) b a))
10.3b
(cbrt (fma (/ y t) b a))
10.3b
(cbrt (fma (/ y t) b a))
11.3b
(* (fma (/ y t) z x) (/ 1 (+ (* (* (cbrt (fma (/ y t) b a)) (cbrt (fma (/ y t) b a))) (cbrt (fma (/ y t) b a))) 1.0)))

rewrite204.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt
16×*-un-lft-identity
15×add-cube-cbrt associate-*r*
13×add-exp-log
11×times-frac
9×cbrt-prod add-cbrt-cube
6×pow1
4×expm1-log1p-u prod-exp log1p-expm1-u add-log-exp
3×pow1/3 associate-*l* unswap-sqr
2×div-exp associate-/r/ cbrt-unprod
1×cbrt-undiv rec-exp flip3-+ 1-exp associate-*r/ pow-prod-down un-div-inv *-commutative flip-+ div-inv
Counts
4 → 79
Calls
4 calls:
1.0ms
(cbrt (fma (/ y t) b a))
1.0ms
(cbrt (fma (/ y t) b a))
1.0ms
(cbrt (fma (/ y t) b a))
198.0ms
(* (fma (/ y t) z x) (/ 1 (+ (* (* (cbrt (fma (/ y t) b a)) (cbrt (fma (/ y t) b a))) (cbrt (fma (/ y t) b a))) 1.0)))

series1.4s

Counts
4 → 12
Calls
4 calls:
256.0ms
(cbrt (fma (/ y t) b a))
236.0ms
(cbrt (fma (/ y t) b a))
254.0ms
(cbrt (fma (/ y t) b a))
676.0ms
(* (fma (/ y t) z x) (/ 1 (+ (* (* (cbrt (fma (/ y t) b a)) (cbrt (fma (/ y t) b a))) (cbrt (fma (/ y t) b a))) 1.0)))

simplify2.3s

Counts
91 → 91
Iterations

Useful iterations: done (2.3s)

IterNodesCost
01332245
13112090
28801172
329931156
done50011135

prune588.0ms

Pruning

13 alts after pruning (10 fresh and 3 done)

Merged error: 11.4b

localize38.0ms

Local error

Found 4 expressions with local error:

8.6b
(* (fma (/ y t) z x) (* (cbrt (/ 1 (+ (fma (/ y t) b a) 1.0))) (cbrt (/ 1 (+ (fma (/ y t) b a) 1.0)))))
9.6b
(cbrt (/ 1 (+ (fma (/ y t) b a) 1.0)))
9.6b
(cbrt (/ 1 (+ (fma (/ y t) b a) 1.0)))
9.6b
(cbrt (/ 1 (+ (fma (/ y t) b a) 1.0)))

rewrite148.0ms

Algorithm
rewrite-expression-head
Rules
54×cbrt-prod
47×*-un-lft-identity
36×times-frac
30×add-sqr-sqrt
29×add-cube-cbrt
9×pow1 add-exp-log distribute-lft-out
7×cbrt-div add-cbrt-cube
6×associate-/r/
4×expm1-log1p-u associate-*r/ log1p-expm1-u add-log-exp
3×flip3-+ pow1/3 associate-*l* pow-prod-down prod-exp cbrt-unprod flip-+ div-inv
1×frac-times associate-*r* associate-*l/ *-commutative unswap-sqr
Counts
4 → 111
Calls
4 calls:
93.0ms
(* (fma (/ y t) z x) (* (cbrt (/ 1 (+ (fma (/ y t) b a) 1.0))) (cbrt (/ 1 (+ (fma (/ y t) b a) 1.0)))))
12.0ms
(cbrt (/ 1 (+ (fma (/ y t) b a) 1.0)))
23.0ms
(cbrt (/ 1 (+ (fma (/ y t) b a) 1.0)))
12.0ms
(cbrt (/ 1 (+ (fma (/ y t) b a) 1.0)))

series5.6s

Counts
4 → 12
Calls
4 calls:
4.5s
(* (fma (/ y t) z x) (* (cbrt (/ 1 (+ (fma (/ y t) b a) 1.0))) (cbrt (/ 1 (+ (fma (/ y t) b a) 1.0)))))
356.0ms
(cbrt (/ 1 (+ (fma (/ y t) b a) 1.0)))
369.0ms
(cbrt (/ 1 (+ (fma (/ y t) b a) 1.0)))
378.0ms
(cbrt (/ 1 (+ (fma (/ y t) b a) 1.0)))

simplify2.6s

Counts
123 → 123
Iterations

Useful iterations: done (2.6s)

IterNodesCost
01802974
13892739
29972505
336452431
done50002428

prune631.0ms

Pruning

14 alts after pruning (10 fresh and 4 done)

Merged error: 11.4b

regimes795.0ms

Accuracy

56% (1.3b remaining)

Error of 12.9b against oracle of 11.7b and baseline of 14.6b

bsearch118.0ms

Steps
ItersRangePoint
5
2.3515058763103324e-52
6.51165442780848e-52
5.7874921299143e-52
6
-1.767882075308824e-50
-2.9278891142885936e-51
-1.7465153706395495e-50

simplify6.0ms

Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
02655
13541
done3541

end0.0ms

sample2.0s

Algorithm
intervals
Results
1.3s8278×body80valid