Details

Time bar (total: 18.2s)

sample47.0ms

Algorithm
intervals
Results
26.0ms268×body80valid

simplify48.0ms

Counts
1 → 1
Iterations

Useful iterations: 3 (14.0ms)

IterNodesCost
01517
12617
23817
35115
46115
56515
done6515

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 11.8b

localize17.0ms

Local error

Found 3 expressions with local error:

2.8b
(fma (/ y t) b a)
4.1b
(fma (/ y t) z x)
11.5b
(/ (fma (/ y t) z x) (+ (fma (/ y t) b a) 1.0))

rewrite25.0ms

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)
22.0ms
(/ (fma (/ y t) z x) (+ (fma (/ y t) b a) 1.0))

series896.0ms

Counts
3 → 9
Calls
3 calls:
80.0ms
(fma (/ y t) b a)
98.0ms
(fma (/ y t) z x)
718.0ms
(/ (fma (/ y t) z x) (+ (fma (/ y t) b a) 1.0))

simplify2.2s

Counts
64 → 64
Iterations

Useful iterations: 3 (558.0ms)

IterNodesCost
0901058
11681026
2586953
33495951
done5000951

prune254.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 11.4b

localize17.0ms

Local error

Found 4 expressions with local error:

0.4b
(/ 1 (+ (fma (/ y t) b a) 1.0))
2.8b
(fma (/ y t) b a)
4.1b
(fma (/ y t) z x)
11.2b
(* (fma (/ y t) z x) (/ 1 (+ (fma (/ y t) b a) 1.0)))

rewrite53.0ms

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:
12.0ms
(/ 1 (+ (fma (/ y t) b a) 1.0))
0.0ms
(fma (/ y t) b a)
0.0ms
(fma (/ y t) z x)
37.0ms
(* (fma (/ y t) z x) (/ 1 (+ (fma (/ y t) b a) 1.0)))

series1.2s

Counts
4 → 12
Calls
4 calls:
155.0ms
(/ 1 (+ (fma (/ y t) b a) 1.0))
58.0ms
(fma (/ y t) b a)
56.0ms
(fma (/ y t) z x)
942.0ms
(* (fma (/ y t) z x) (/ 1 (+ (fma (/ y t) b a) 1.0)))

simplify3.2s

Counts
114 → 114
Iterations

Useful iterations: done (3.2s)

IterNodesCost
01291750
12861559
222681404
done50001400

prune432.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 11.4b

localize29.0ms

Local error

Found 4 expressions with local error:

0.6b
(/ 1 (/ (+ (fma (/ y t) b a) 1.0) (fma (/ y t) z x)))
2.8b
(fma (/ y t) b a)
4.1b
(fma (/ y t) z x)
11.2b
(/ (+ (fma (/ y t) b a) 1.0) (fma (/ y t) z x))

rewrite61.0ms

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:
27.0ms
(/ 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)
24.0ms
(/ (+ (fma (/ y t) b a) 1.0) (fma (/ y t) z x))

series1.1s

Counts
4 → 12
Calls
4 calls:
628.0ms
(/ 1 (/ (+ (fma (/ y t) b a) 1.0) (fma (/ y t) z x)))
69.0ms
(fma (/ y t) b a)
73.0ms
(fma (/ y t) z x)
367.0ms
(/ (+ (fma (/ y t) b a) 1.0) (fma (/ y t) z x))

simplify2.2s

Counts
157 → 157
Iterations

Useful iterations: done (2.2s)

IterNodesCost
01863710
14443419
225443236
done50013097

prune511.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 11.4b

localize36.0ms

Local error

Found 4 expressions with local error:

7.4b
(* (/ 1 (* (cbrt (fma (/ y t) z x)) (cbrt (fma (/ y t) z x)))) (/ (+ (fma (/ y t) b a) 1.0) (cbrt (fma (/ y t) z x))))
8.8b
(cbrt (fma (/ y t) z x))
8.8b
(cbrt (fma (/ y t) z x))
8.8b
(cbrt (fma (/ y t) z x))

rewrite149.0ms

Algorithm
rewrite-expression-head
Rules
49×add-exp-log
45×add-sqr-sqrt
39×*-un-lft-identity times-frac
28×associate-*r*
24×cbrt-prod add-cube-cbrt
20×prod-exp
18×add-cbrt-cube
15×div-exp
9×unswap-sqr
8×cbrt-unprod
7×cbrt-undiv associate-*l*
6×pow1 distribute-lft-out
4×expm1-log1p-u rec-exp 1-exp log1p-expm1-u add-log-exp
3×pow1/3
2×div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 117
Calls
4 calls:
141.0ms
(* (/ 1 (* (cbrt (fma (/ y t) z x)) (cbrt (fma (/ y t) z x)))) (/ (+ (fma (/ y t) b a) 1.0) (cbrt (fma (/ y t) z x))))
1.0ms
(cbrt (fma (/ y t) z x))
1.0ms
(cbrt (fma (/ y t) z x))
1.0ms
(cbrt (fma (/ y t) z x))

series963.0ms

Counts
4 → 12
Calls
4 calls:
270.0ms
(* (/ 1 (* (cbrt (fma (/ y t) z x)) (cbrt (fma (/ y t) z x)))) (/ (+ (fma (/ y t) b a) 1.0) (cbrt (fma (/ y t) z x))))
224.0ms
(cbrt (fma (/ y t) z x))
187.0ms
(cbrt (fma (/ y t) z x))
281.0ms
(cbrt (fma (/ y t) z x))

simplify1.8s

Counts
129 → 129
Iterations

Useful iterations: done (1.8s)

IterNodesCost
01793864
15693670
236983146
done50003091

prune476.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 11.4b

regimes559.0ms

Accuracy

42.8% (1.7b remaining)

Error of 13.4b against oracle of 11.6b and baseline of 14.7b

bsearch142.0ms

Steps
ItersRangePoint
8
1.184790927641084e-55
2.0939492139775506e-51
1.762388146479539e-51
6
-2.3155312872625025e+112
-4.5744811177557607e+111
-4.704199613199595e+111

simplify7.0ms

Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
03063
14145
done4145

end0.0ms

sample1.8s

Algorithm
intervals
Results
1.1s8305×body80valid