Details

Time bar (total: 11.5s)

sample26.0ms

Algorithm
intervals
Results
11.0ms267×body80valid

simplify33.0ms

Counts
1 → 1
Iterations

Useful iterations: 3 (11.0ms)

IterNodesCost
01517
12617
23817
35015
46015
56415
done6415

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 12.5b

localize10.0ms

Local error

Found 3 expressions with local error:

2.4b
(fma (/ y t) b a)
2.9b
(fma (/ y t) z x)
12.2b
(/ (fma (/ y t) z x) (+ (fma (/ y t) b a) 1.0))

rewrite8.0ms

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) b a)
0.0ms
(fma (/ y t) z x)
6.0ms
(/ (fma (/ y t) z x) (+ (fma (/ y t) b a) 1.0))

series495.0ms

Counts
3 → 9
Calls
3 calls:
41.0ms
(fma (/ y t) b a)
38.0ms
(fma (/ y t) z x)
416.0ms
(/ (fma (/ y t) z x) (+ (fma (/ y t) b a) 1.0))

simplify886.0ms

Counts
64 → 64
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
0901058
11641023
2410951
31341951
done5000951

prune248.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 12.1b

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ 1 (+ (fma (/ y t) b a) 1.0))
2.4b
(fma (/ y t) b a)
2.9b
(fma (/ y t) z x)
12.0b
(* (fma (/ y t) z x) (/ 1 (+ (fma (/ y t) b a) 1.0)))

rewrite27.0ms

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:
6.0ms
(/ 1 (+ (fma (/ y t) b a) 1.0))
0.0ms
(fma (/ y t) b a)
0.0ms
(fma (/ y t) z x)
17.0ms
(* (fma (/ y t) z x) (/ 1 (+ (fma (/ y t) b a) 1.0)))

series630.0ms

Counts
4 → 12
Calls
4 calls:
111.0ms
(/ 1 (+ (fma (/ y t) b a) 1.0))
46.0ms
(fma (/ y t) b a)
38.0ms
(fma (/ y t) z x)
434.0ms
(* (fma (/ y t) z x) (/ 1 (+ (fma (/ y t) b a) 1.0)))

simplify2.2s

Counts
114 → 114
Iterations

Useful iterations: 2 (126.0ms)

IterNodesCost
01291750
12731592
27761398
326991398
done50011398

prune322.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 12.1b

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b
(/ 1 (/ (+ (fma (/ y t) b a) 1.0) (fma (/ y t) z x)))
2.4b
(fma (/ y t) b a)
2.9b
(fma (/ y t) z x)
12.1b
(/ (+ (fma (/ y t) b a) 1.0) (fma (/ y t) z x))

rewrite24.0ms

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:
9.0ms
(/ 1 (/ (+ (fma (/ y t) b a) 1.0) (fma (/ y t) z x)))
0.0ms
(fma (/ y t) b a)
0.0ms
(fma (/ y t) z x)
8.0ms
(/ (+ (fma (/ y t) b a) 1.0) (fma (/ y t) z x))

series697.0ms

Counts
4 → 12
Calls
4 calls:
405.0ms
(/ 1 (/ (+ (fma (/ y t) b a) 1.0) (fma (/ y t) z x)))
37.0ms
(fma (/ y t) b a)
37.0ms
(fma (/ y t) z x)
217.0ms
(/ (+ (fma (/ y t) b a) 1.0) (fma (/ y t) z x))

simplify2.7s

Counts
157 → 157
Iterations

Useful iterations: 3 (1.6s)

IterNodesCost
01863710
13933474
210763121
336533092
done50003092

prune356.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 12.1b

localize12.0ms

Local error

Found 3 expressions with local error:

2.4b
(fma (/ y t) b a)
2.9b
(fma (/ y t) z x)
12.2b
(/ (fma (/ y t) z x) (+ (fma (/ y t) b a) 1.0))

rewrite8.0ms

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) b a)
0.0ms
(fma (/ y t) z x)
6.0ms
(/ (fma (/ y t) z x) (+ (fma (/ y t) b a) 1.0))

series534.0ms

Counts
3 → 9
Calls
3 calls:
44.0ms
(fma (/ y t) b a)
37.0ms
(fma (/ y t) z x)
453.0ms
(/ (fma (/ y t) z x) (+ (fma (/ y t) b a) 1.0))

simplify881.0ms

Counts
64 → 64
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
0901058
11641023
2410951
31341951
done5000951

prune198.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 12.1b

regimes384.0ms

Accuracy

57.4% (1.3b remaining)

Error of 13.1b against oracle of 11.8b and baseline of 14.7b

bsearch113.0ms

Steps
ItersRangePoint
10
1.2156763152622868e-23
1.316736141892985e-13
7.859362168881353e-21
8
-7.96056996918778e-59
-1.0745078958535412e-61
-7.885758138049309e-59

simplify10.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
02859
14041
done4041

end0.0ms

sample647.0ms

Algorithm
intervals
Results
362.0ms8274×body80valid