Details

Time bar (total: 15.6s)

sample71.0ms

Algorithm
intervals
Results
27.0ms265×body80valid

simplify63.0ms

Counts
1 → 1
Iterations
IterNodes
done65
565
461
351
238
126
015

prune49.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 11.0b

localize28.0ms

Local error

Found 3 expressions with local error:

1.9b
(fma y (/ b t) (+ a 1.0))
2.8b
(fma (/ z t) y x)
10.8b
(/ (fma (/ z t) y x) (fma y (/ b t) (+ a 1.0)))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
9×times-frac
5×add-cbrt-cube add-exp-log
3×expm1-log1p-u pow1 associate-/r* log1p-expm1-u associate-/l* add-log-exp
2×fma-udef
1×cbrt-undiv clear-num frac-2neg div-exp div-inv
Counts
3 → 49
Calls
3 calls:
0.0ms
(fma y (/ b t) (+ a 1.0))
0.0ms
(fma (/ z t) y x)
4.0ms
(/ (fma (/ z t) y x) (fma y (/ b t) (+ a 1.0)))

series438.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(fma y (/ b t) (+ a 1.0))
62.0ms
(fma (/ z t) y x)
330.0ms
(/ (fma (/ z t) y x) (fma y (/ b t) (+ a 1.0)))

simplify1.3s

Counts
58 → 58
Iterations
IterNodes
done5001
31228
2307
1125
077

prune611.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 10.5b

localize40.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* y (/ b t)) (+ a 1.0))
2.8b
(fma (/ z t) y x)
5.2b
(* y (/ b t))
10.8b
(/ (fma (/ z t) y x) (+ (* y (/ b t)) (+ a 1.0)))

rewrite92.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
20×*-un-lft-identity add-cube-cbrt
19×times-frac
13×associate-*r*
11×add-cbrt-cube add-exp-log
9×add-log-exp
6×pow1
5×associate-*r/
4×expm1-log1p-u flip3-+ frac-add associate-/r/ flip-+ log1p-expm1-u
3×associate-/r* sum-log associate-*l* associate-/l*
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv unswap-sqr
1×+-commutative associate-+r+ clear-num fma-def frac-2neg pow-prod-down *-commutative fma-udef
Counts
4 → 95
Calls
4 calls:
17.0ms
(+ (* y (/ b t)) (+ a 1.0))
0.0ms
(fma (/ z t) y x)
11.0ms
(* y (/ b t))
61.0ms
(/ (fma (/ z t) y x) (+ (* y (/ b t)) (+ a 1.0)))

series452.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(+ (* y (/ b t)) (+ a 1.0))
55.0ms
(fma (/ z t) y x)
28.0ms
(* y (/ b t))
317.0ms
(/ (fma (/ z t) y x) (+ (* y (/ b t)) (+ a 1.0)))

simplify1.5s

Counts
107 → 107
Iterations
IterNodes
done5000
21630
1458
0178

prune832.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 9.5b

localize24.0ms

Local error

Found 3 expressions with local error:

1.8b
(fma (/ y t) b a)
2.8b
(fma (/ z t) y x)
10.8b
(/ (fma (/ z t) y x) (+ 1.0 (fma (/ y t) b a)))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
20×*-un-lft-identity
12×add-sqr-sqrt times-frac add-cube-cbrt
5×add-cbrt-cube add-exp-log
4×associate-/r* distribute-lft-out
3×expm1-log1p-u pow1 log1p-expm1-u associate-/l* add-log-exp
2×associate-/r/ fma-udef
1×cbrt-undiv clear-num frac-2neg flip3-+ div-exp flip-+ div-inv
Counts
3 → 55
Calls
3 calls:
0.0ms
(fma (/ y t) b a)
0.0ms
(fma (/ z t) y x)
9.0ms
(/ (fma (/ z t) y x) (+ 1.0 (fma (/ y t) b a)))

series443.0ms

Counts
3 → 9
Calls
3 calls:
51.0ms
(fma (/ y t) b a)
80.0ms
(fma (/ z t) y x)
311.0ms
(/ (fma (/ z t) y x) (+ 1.0 (fma (/ y t) b a)))

simplify2.4s

Counts
64 → 64
Iterations
IterNodes
done5000
32819
2515
1166
090

prune591.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 9.5b

localize24.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ 1 (+ 1.0 (fma (/ y t) b a)))
1.8b
(fma (/ y t) b a)
2.8b
(fma (/ z t) y x)
10.8b
(* (fma (/ z t) y x) (/ 1 (+ 1.0 (fma (/ y t) b a))))

rewrite45.0ms

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 associate-/r* div-exp prod-exp 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×clear-num frac-2neg pow-prod-down associate-*r/ un-div-inv *-commutative pow-flip inv-pow
Counts
4 → 102
Calls
4 calls:
10.0ms
(/ 1 (+ 1.0 (fma (/ y t) b a)))
0.0ms
(fma (/ y t) b a)
0.0ms
(fma (/ z t) y x)
27.0ms
(* (fma (/ z t) y x) (/ 1 (+ 1.0 (fma (/ y t) b a))))

series723.0ms

Counts
4 → 12
Calls
4 calls:
195.0ms
(/ 1 (+ 1.0 (fma (/ y t) b a)))
77.0ms
(fma (/ y t) b a)
57.0ms
(fma (/ z t) y x)
393.0ms
(* (fma (/ z t) y x) (/ 1 (+ 1.0 (fma (/ y t) b a))))

simplify1.9s

Counts
114 → 114
Iterations
IterNodes
done5000
21778
1281
0129

prune781.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 9.5b

regimes1.4s

Accuracy

33.2% (3.7b remaining)

Error of 14.7b against oracle of 11.1b and baseline of 16.5b

bsearch144.0ms

Steps
ItersRangePoint
9
1.022342862720565e+63
1.827827478469008e+71
1.1821487071193174e+65
6
-4.00826403018981e+74
-6.564004095504071e+73
-1.0370470872224539e+74

simplify10.0ms

Iterations
IterNodes
done41
141
029

end0.0ms

sample1.6s

Algorithm
intervals
Results
746.0ms8287×body80valid