Details

Time bar (total: 15.5s)

sample47.0ms

Algorithm
intervals
Results
22.0ms265×body80valid

simplify42.0ms

Counts
1 → 1
Iterations

Useful iterations: 3 (17.0ms)

IterNodesCost
01517
12617
23817
35115
46115
56515
done6515

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 12.9b

localize22.0ms

Local error

Found 3 expressions with local error:

2.2b
(fma (/ y t) b a)
3.4b
(fma (/ y t) z x)
12.6b
(/ (fma (/ y t) z x) (+ (fma (/ y t) b a) 1.0))

rewrite18.0ms

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)
15.0ms
(/ (fma (/ y t) z x) (+ (fma (/ y t) b a) 1.0))

series653.0ms

Counts
3 → 9
Calls
3 calls:
45.0ms
(fma (/ y t) b a)
64.0ms
(fma (/ y t) z x)
544.0ms
(/ (fma (/ y t) z x) (+ (fma (/ y t) b a) 1.0))

simplify1.8s

Counts
64 → 64
Iterations

Useful iterations: 3 (518.0ms)

IterNodesCost
0901058
11681026
2586953
33495951
done5000951

prune306.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 12.4b

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ 1 (+ (fma (/ y t) b a) 1.0))
2.2b
(fma (/ y t) b a)
3.4b
(fma (/ y t) z x)
12.4b
(* (fma (/ y t) z x) (/ 1 (+ (fma (/ y t) b a) 1.0)))

rewrite55.0ms

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) b a)
0.0ms
(fma (/ y t) z x)
36.0ms
(* (fma (/ y t) z x) (/ 1 (+ (fma (/ y t) b a) 1.0)))

series900.0ms

Counts
4 → 12
Calls
4 calls:
156.0ms
(/ 1 (+ (fma (/ y t) b a) 1.0))
60.0ms
(fma (/ y t) b a)
58.0ms
(fma (/ y t) z x)
626.0ms
(* (fma (/ y t) z x) (/ 1 (+ (fma (/ y t) b a) 1.0)))

simplify2.8s

Counts
114 → 114
Iterations

Useful iterations: done (2.8s)

IterNodesCost
01291750
12861559
222681404
done50001400

prune465.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 12.4b

localize22.0ms

Local error

Found 4 expressions with local error:

0.4b
(/ 1 (/ (+ (fma (/ y t) b a) 1.0) (fma (/ y t) z x)))
2.2b
(fma (/ y t) b a)
3.4b
(fma (/ y t) z x)
12.6b
(/ (+ (fma (/ y t) b a) 1.0) (fma (/ y t) z x))

rewrite72.0ms

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:
32.0ms
(/ 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)
29.0ms
(/ (+ (fma (/ y t) b a) 1.0) (fma (/ y t) z x))

series979.0ms

Counts
4 → 12
Calls
4 calls:
564.0ms
(/ 1 (/ (+ (fma (/ y t) b a) 1.0) (fma (/ y t) z x)))
42.0ms
(fma (/ y t) b a)
58.0ms
(fma (/ y t) z x)
315.0ms
(/ (+ (fma (/ y t) b a) 1.0) (fma (/ y t) z x))

simplify1.9s

Counts
157 → 157
Iterations

Useful iterations: done (1.9s)

IterNodesCost
01863710
14443419
225443236
done50013097

prune466.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 12.4b

localize33.0ms

Local error

Found 4 expressions with local error:

9.1b
(cbrt (fma (/ y t) z x))
10.4b
(cbrt (+ (fma (/ y t) b a) 1.0))
10.4b
(cbrt (+ (fma (/ y t) b a) 1.0))
10.4b
(cbrt (+ (fma (/ y t) b a) 1.0))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
15×cbrt-prod
14×*-un-lft-identity
8×add-sqr-sqrt add-cube-cbrt
6×cbrt-div
4×pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
3×flip3-+ flip-+ distribute-lft-out
Counts
4 → 61
Calls
4 calls:
1.0ms
(cbrt (fma (/ y t) z x))
4.0ms
(cbrt (+ (fma (/ y t) b a) 1.0))
4.0ms
(cbrt (+ (fma (/ y t) b a) 1.0))
4.0ms
(cbrt (+ (fma (/ y t) b a) 1.0))

series1.1s

Counts
4 → 12
Calls
4 calls:
191.0ms
(cbrt (fma (/ y t) z x))
314.0ms
(cbrt (+ (fma (/ y t) b a) 1.0))
314.0ms
(cbrt (+ (fma (/ y t) b a) 1.0))
317.0ms
(cbrt (+ (fma (/ y t) b a) 1.0))

simplify859.0ms

Counts
73 → 73
Iterations

Useful iterations: done (857.0ms)

IterNodesCost
0961106
11971071
2513996
32061950
done5000922

prune384.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 12.4b

regimes609.0ms

Accuracy

46% (1.7b remaining)

Error of 13.5b against oracle of 11.9b and baseline of 15.0b

bsearch175.0ms

Steps
ItersRangePoint
8
2.703404939321956e+82
3.6822851332551716e+86
3.25378864706342e+83
10
-5.3805723331774746e+42
-2.8022496391700208e+32
-1.308807350299646e+41

simplify8.0ms

Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
03495
14395
done4395

end0.0ms

sample1.7s

Algorithm
intervals
Results
719.0ms8269×body80valid