Details

Time bar (total: 17.6s)

sample64.0ms

Algorithm
intervals
Results
26.0ms261×body80valid

simplify92.0ms

Counts
1 → 1
Iterations

Useful iterations: 3 (28.0ms)

IterNodesCost
01517
12617
23817
35115
46115
56515
done6515

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 12.7b

localize15.0ms

Local error

Found 3 expressions with local error:

1.4b
(fma (/ y t) b a)
3.4b
(fma (/ y t) z x)
12.4b
(/ (fma (/ y t) z x) (+ (fma (/ y t) b a) 1.0))

rewrite28.0ms

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)
23.0ms
(/ (fma (/ y t) z x) (+ (fma (/ y t) b a) 1.0))

series866.0ms

Counts
3 → 9
Calls
3 calls:
56.0ms
(fma (/ y t) b a)
55.0ms
(fma (/ y t) z x)
755.0ms
(/ (fma (/ y t) z x) (+ (fma (/ y t) b a) 1.0))

simplify2.5s

Counts
64 → 64
Iterations

Useful iterations: 3 (665.0ms)

IterNodesCost
0901058
11681026
2586953
33495951
done5000951

prune337.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 12.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ 1 (/ (+ (fma (/ y t) b a) 1.0) (fma (/ y t) z x)))
1.4b
(fma (/ y t) b a)
3.4b
(fma (/ y t) z x)
12.4b
(/ (+ (fma (/ y t) b a) 1.0) (fma (/ y t) z x))

rewrite86.0ms

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 (/ (+ (fma (/ y t) b a) 1.0) (fma (/ y t) z x)))
1.0ms
(fma (/ y t) b a)
1.0ms
(fma (/ y t) z x)
38.0ms
(/ (+ (fma (/ y t) b a) 1.0) (fma (/ y t) z x))

series1.1s

Counts
4 → 12
Calls
4 calls:
627.0ms
(/ 1 (/ (+ (fma (/ y t) b a) 1.0) (fma (/ y t) z x)))
53.0ms
(fma (/ y t) b a)
61.0ms
(fma (/ y t) z x)
365.0ms
(/ (+ (fma (/ y t) b a) 1.0) (fma (/ y t) z x))

simplify2.5s

Counts
157 → 157
Iterations

Useful iterations: done (2.5s)

IterNodesCost
01863710
14443419
225443236
done50013097

prune543.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 12.0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.4b
(/ 1 (fma (/ y t) z x))
1.4b
(fma (/ y t) b a)
3.4b
(fma (/ y t) z x)
12.1b
(* (+ (fma (/ y t) b a) 1.0) (/ 1 (fma (/ y t) z x)))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
23×*-un-lft-identity
20×add-cube-cbrt times-frac
17×add-exp-log
13×associate-*r*
11×add-cbrt-cube
7×pow1
4×expm1-log1p-u div-exp associate-*l* prod-exp log1p-expm1-u add-log-exp
3×associate-/r* associate-/l* unswap-sqr
2×cbrt-undiv frac-times rec-exp flip3-+ 1-exp associate-*l/ cbrt-unprod flip-+ fma-udef div-inv
1×pow-flip frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv *-commutative distribute-lft-out inv-pow
Counts
4 → 96
Calls
4 calls:
6.0ms
(/ 1 (fma (/ y t) z x))
0.0ms
(fma (/ y t) b a)
0.0ms
(fma (/ y t) z x)
46.0ms
(* (+ (fma (/ y t) b a) 1.0) (/ 1 (fma (/ y t) z x)))

series601.0ms

Counts
4 → 12
Calls
4 calls:
84.0ms
(/ 1 (fma (/ y t) z x))
57.0ms
(fma (/ y t) b a)
84.0ms
(fma (/ y t) z x)
376.0ms
(* (+ (fma (/ y t) b a) 1.0) (/ 1 (fma (/ y t) z x)))

simplify2.3s

Counts
108 → 108
Iterations

Useful iterations: 2 (369.0ms)

IterNodesCost
01331643
13071516
220681324
done50021324

prune505.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 12.0b

localize43.0ms

Local error

Found 4 expressions with local error:

10.5b
(cbrt (fma (/ y t) b a))
10.5b
(cbrt (fma (/ y t) b a))
10.5b
(cbrt (fma (/ y t) b a))
12.4b
(/ (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))

rewrite73.0ms

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:
2.0ms
(cbrt (fma (/ y t) b a))
2.0ms
(cbrt (fma (/ y t) b a))
1.0ms
(cbrt (fma (/ y t) b a))
65.0ms
(/ (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))

series1.4s

Counts
4 → 12
Calls
4 calls:
213.0ms
(cbrt (fma (/ y t) b a))
235.0ms
(cbrt (fma (/ y t) b a))
249.0ms
(cbrt (fma (/ y t) b a))
672.0ms
(/ (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))

simplify1.4s

Counts
82 → 82
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01102091
12272023
26261171
324571155
done50001134

prune497.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 12.0b

regimes638.0ms

Accuracy

74.1% (0.8b remaining)

Error of 12.2b against oracle of 11.4b and baseline of 14.6b

bsearch2.0ms

simplify9.0ms

Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
039169
149169
250167
done50167

end0.0ms

sample1.8s

Algorithm
intervals
Results
1.2s8285×body80valid