Details

Time bar (total: 14.9s)

sample28.0ms

Algorithm
intervals
Results
10.0ms267×body80valid

simplify42.0ms

Counts
1 → 1
Iterations

Useful iterations: 3 (13.0ms)

IterNodesCost
01517
12617
23817
35015
46015
56415
done6415

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 11.3b

localize11.0ms

Local error

Found 3 expressions with local error:

2.9b
(fma (/ y t) z x)
3.4b
(fma (/ y t) b a)
10.9b
(/ (fma (/ y t) z x) (+ (fma (/ y t) b a) 1.0))

rewrite14.0ms

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:
0.0ms
(fma (/ y t) z x)
0.0ms
(fma (/ y t) b a)
12.0ms
(/ (fma (/ y t) z x) (+ (fma (/ y t) b a) 1.0))

series526.0ms

Counts
3 → 9
Calls
3 calls:
42.0ms
(fma (/ y t) z x)
42.0ms
(fma (/ y t) b a)
441.0ms
(/ (fma (/ y t) z x) (+ (fma (/ y t) b a) 1.0))

simplify976.0ms

Counts
64 → 64
Iterations

Useful iterations: 3 (260.0ms)

IterNodesCost
0901058
11661023
2438963
31578951
done5001951

prune234.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 10.9b

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ 1 (+ (fma (/ y t) b a) 1.0))
2.9b
(fma (/ y t) z x)
3.4b
(fma (/ y t) b a)
11.0b
(* (fma (/ y t) z x) (/ 1 (+ (fma (/ y t) b a) 1.0)))

rewrite50.0ms

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:
13.0ms
(/ 1 (+ (fma (/ y t) b a) 1.0))
0.0ms
(fma (/ y t) z x)
0.0ms
(fma (/ y t) b a)
30.0ms
(* (fma (/ y t) z x) (/ 1 (+ (fma (/ y t) b a) 1.0)))

series699.0ms

Counts
4 → 12
Calls
4 calls:
124.0ms
(/ 1 (+ (fma (/ y t) b a) 1.0))
49.0ms
(fma (/ y t) z x)
46.0ms
(fma (/ y t) b a)
480.0ms
(* (fma (/ y t) z x) (/ 1 (+ (fma (/ y t) b a) 1.0)))

simplify1.9s

Counts
114 → 114
Iterations

Useful iterations: 2 (123.0ms)

IterNodesCost
01291750
12681556
27471398
329211398
done50001398

prune340.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 10.9b

localize19.0ms

Local error

Found 4 expressions with local error:

8.9b
(cbrt (+ (fma (/ y t) b a) 1.0))
8.9b
(cbrt (+ (fma (/ y t) b a) 1.0))
8.9b
(cbrt (+ (fma (/ y t) b a) 1.0))
11.0b
(* (fma (/ y t) z x) (* (/ 1 (* (cbrt (+ (fma (/ y t) b a) 1.0)) (cbrt (+ (fma (/ y t) b a) 1.0)))) (/ 1 (cbrt (+ (fma (/ y t) b a) 1.0)))))

rewrite346.0ms

Algorithm
rewrite-expression-head
Rules
117×add-exp-log
69×prod-exp
30×div-exp
26×add-cbrt-cube
15×rec-exp 1-exp cbrt-unprod
14×*-un-lft-identity
12×cbrt-prod
9×pow1
8×add-sqr-sqrt add-cube-cbrt
7×cbrt-undiv
6×cbrt-div
5×associate-*r/
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×flip3-+ pow1/3 associate-*l* pow-prod-down flip-+ distribute-lft-out
1×frac-times associate-*r* associate-*l/ un-div-inv *-commutative
Counts
4 → 104
Calls
4 calls:
4.0ms
(cbrt (+ (fma (/ y t) b a) 1.0))
4.0ms
(cbrt (+ (fma (/ y t) b a) 1.0))
5.0ms
(cbrt (+ (fma (/ y t) b a) 1.0))
325.0ms
(* (fma (/ y t) z x) (* (/ 1 (* (cbrt (+ (fma (/ y t) b a) 1.0)) (cbrt (+ (fma (/ y t) b a) 1.0)))) (/ 1 (cbrt (+ (fma (/ y t) b a) 1.0)))))

series1.2s

Counts
4 → 12
Calls
4 calls:
228.0ms
(cbrt (+ (fma (/ y t) b a) 1.0))
227.0ms
(cbrt (+ (fma (/ y t) b a) 1.0))
226.0ms
(cbrt (+ (fma (/ y t) b a) 1.0))
478.0ms
(* (fma (/ y t) z x) (* (/ 1 (* (cbrt (+ (fma (/ y t) b a) 1.0)) (cbrt (+ (fma (/ y t) b a) 1.0)))) (/ 1 (cbrt (+ (fma (/ y t) b a) 1.0)))))

simplify2.8s

Counts
116 → 116
Iterations

Useful iterations: 3 (1.8s)

IterNodesCost
01973701
14253244
212852054
343351719
done50001719

prune357.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 10.9b

localize16.0ms

Local error

Found 4 expressions with local error:

8.9b
(cbrt (fma (/ y t) z x))
8.9b
(cbrt (fma (/ y t) z x))
8.9b
(cbrt (fma (/ y t) z x))
11.0b
(* (* (* (cbrt (fma (/ y t) z x)) (cbrt (fma (/ y t) z x))) (cbrt (fma (/ y t) z x))) (/ 1 (+ (fma (/ y t) b a) 1.0)))

rewrite122.0ms

Algorithm
rewrite-expression-head
Rules
43×add-exp-log
24×prod-exp
21×*-un-lft-identity
18×associate-*r*
17×add-cbrt-cube
15×add-sqr-sqrt add-cube-cbrt
13×pow1
12×times-frac cbrt-unprod
9×cbrt-prod
6×div-exp pow-prod-down
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×cbrt-undiv rec-exp pow1/3 1-exp distribute-lft-out
2×associate-/r/
1×flip3-+ associate-*r/ associate-*l* un-div-inv *-commutative flip-+ div-inv
Counts
4 → 91
Calls
4 calls:
1.0ms
(cbrt (fma (/ y t) z x))
1.0ms
(cbrt (fma (/ y t) z x))
1.0ms
(cbrt (fma (/ y t) z x))
116.0ms
(* (* (* (cbrt (fma (/ y t) z x)) (cbrt (fma (/ y t) z x))) (cbrt (fma (/ y t) z x))) (/ 1 (+ (fma (/ y t) b a) 1.0)))

series948.0ms

Counts
4 → 12
Calls
4 calls:
168.0ms
(cbrt (fma (/ y t) z x))
159.0ms
(cbrt (fma (/ y t) z x))
162.0ms
(cbrt (fma (/ y t) z x))
459.0ms
(* (* (* (cbrt (fma (/ y t) z x)) (cbrt (fma (/ y t) z x))) (cbrt (fma (/ y t) z x))) (/ 1 (+ (fma (/ y t) b a) 1.0)))

simplify2.8s

Counts
103 → 103
Iterations

Useful iterations: 3 (1.7s)

IterNodesCost
01482692
13692469
212441466
342271267
done50011267

prune303.0ms

Pruning

10 alts after pruning (6 fresh and 4 done)

Merged error: 10.9b

regimes434.0ms

Accuracy

27.8% (1.9b remaining)

Error of 13.1b against oracle of 11.2b and baseline of 13.9b

bsearch2.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02989
13889
done3889

end0.0ms

sample743.0ms

Algorithm
intervals
Results
339.0ms8306×body80valid