Details

Time bar (total: 38.3s)

sample78.0ms

Algorithm
intervals
Results
39.0ms260×body80valid

simplify11.3s

Counts
1 → 1
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
02633
14826
210226
329226
475126
5185626
6288326
7329226
8381326
done500126

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.8b

localize39.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ (* (+ y a) y) b) y)
0.1b
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
0.1b
(* (+ (* x y) z) y)
28.3b
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite440.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
18×add-cube-cbrt *-un-lft-identity
12×add-exp-log add-cbrt-cube
10×pow1
9×times-frac associate-*r* associate-*l*
6×associate-*l/
5×flip3-+ flip-+
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow-prod-down prod-exp associate-/r* *-commutative cbrt-unprod associate-/l* unswap-sqr
2×associate-/r/ associate-/l/
1×cbrt-undiv frac-2neg div-exp clear-num div-inv
Counts
4 → 99
Calls
4 calls:
78.0ms
(* (+ (* (+ y a) y) b) y)
86.0ms
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
51.0ms
(* (+ (* x y) z) y)
220.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series722.0ms

Counts
4 → 12
Calls
4 calls:
67.0ms
(* (+ (* (+ y a) y) b) y)
81.0ms
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
41.0ms
(* (+ (* x y) z) y)
533.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify1.8s

Counts
111 → 111
Iterations

Useful iterations: done (1.8s)

IterNodesCost
02012585
15332103
219861911
done50001907

prune916.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 27.5b

localize64.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
0.1b
(* (+ (* x y) z) y)
0.2b
(/ 1 (fma (fma (fma (+ y a) y b) y c) y i))
28.3b
(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (fma (fma (fma (+ y a) y b) y c) y i)))

rewrite361.0ms

Algorithm
rewrite-expression-head
Rules
35×add-sqr-sqrt
25×*-un-lft-identity
24×add-cube-cbrt
21×add-exp-log
20×times-frac
19×associate-*r*
15×add-cbrt-cube
11×pow1
9×associate-*l*
6×associate-*l/ prod-exp
5×unswap-sqr
4×expm1-log1p-u flip3-+ div-exp cbrt-unprod flip-+ log1p-expm1-u add-log-exp
3×pow-prod-down associate-/r* *-commutative associate-/l*
2×cbrt-undiv frac-times rec-exp 1-exp div-inv
1×pow-flip frac-2neg associate-*r/ clear-num un-div-inv inv-pow
Counts
4 → 119
Calls
4 calls:
64.0ms
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
30.0ms
(* (+ (* x y) z) y)
10.0ms
(/ 1 (fma (fma (fma (+ y a) y b) y c) y i))
252.0ms
(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (fma (fma (fma (+ y a) y b) y c) y i)))

series765.0ms

Counts
4 → 12
Calls
4 calls:
85.0ms
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
66.0ms
(* (+ (* x y) z) y)
108.0ms
(/ 1 (fma (fma (fma (+ y a) y b) y c) y i))
505.0ms
(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (fma (fma (fma (+ y a) y b) y c) y i)))

simplify1.6s

Counts
131 → 131
Iterations

Useful iterations: done (1.6s)

IterNodesCost
02003084
14972610
217042332
done50002317

prune1.1s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 27.5b

localize61.0ms

Local error

Found 4 expressions with local error:

17.4b
(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
17.4b
(cbrt (fma (fma (fma (+ y a) y b) y c) y i))
17.4b
(cbrt (fma (fma (fma (+ y a) y b) y c) y i))
24.9b
(/ (fma (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y t) (* (cbrt (fma (fma (fma (+ y a) y b) y c) y i)) (cbrt (fma (fma (fma (+ y a) y b) y c) y i))))

rewrite88.0ms

Algorithm
rewrite-expression-head
Rules
9×add-exp-log cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity
7×add-cbrt-cube
4×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
3×times-frac pow1/3 associate-/l*
2×cbrt-undiv cbrt-div div-exp
1×frac-2neg flip3-+ prod-exp clear-num associate-/r* cbrt-unprod flip-+ div-inv
Counts
4 → 64
Calls
4 calls:
72.0ms
(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
2.0ms
(cbrt (fma (fma (fma (+ y a) y b) y c) y i))
2.0ms
(cbrt (fma (fma (fma (+ y a) y b) y c) y i))
11.0ms
(/ (fma (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y t) (* (cbrt (fma (fma (fma (+ y a) y b) y c) y i)) (cbrt (fma (fma (fma (+ y a) y b) y c) y i))))

series1.6s

Counts
4 → 12
Calls
4 calls:
251.0ms
(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
223.0ms
(cbrt (fma (fma (fma (+ y a) y b) y c) y i))
232.0ms
(cbrt (fma (fma (fma (+ y a) y b) y c) y i))
876.0ms
(/ (fma (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y t) (* (cbrt (fma (fma (fma (+ y a) y b) y c) y i)) (cbrt (fma (fma (fma (+ y a) y b) y c) y i))))

simplify1.7s

Counts
76 → 76
Iterations

Useful iterations: done (1.7s)

IterNodesCost
01302245
12792120
26941852
322101790
done50001789

prune808.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 27.2b

localize76.0ms

Local error

Found 4 expressions with local error:

15.2b
(/ (/ (/ (fma (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y t) (cbrt (fma (fma (fma (+ y a) y b) y c) y i))) (cbrt (fma (fma (fma (+ y a) y b) y c) y i))) (cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))
17.4b
(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
17.4b
(cbrt (fma (fma (fma (+ y a) y b) y c) y i))
17.4b
(cbrt (fma (fma (fma (+ y a) y b) y c) y i))

rewrite863.0ms

Algorithm
rewrite-expression-head
Rules
2496×times-frac
1260×cbrt-prod
1142×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
136×associate-/l*
50×div-inv
13×add-exp-log
7×add-cbrt-cube
6×cbrt-undiv div-exp associate-/r*
4×pow1 expm1-log1p-u cbrt-div log1p-expm1-u add-log-exp
3×pow1/3
2×flip3-+ associate-/r/ flip-+
1×frac-2neg clear-num associate-/l/
Counts
4 → 1020
Calls
4 calls:
636.0ms
(/ (/ (/ (fma (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y t) (cbrt (fma (fma (fma (+ y a) y b) y c) y i))) (cbrt (fma (fma (fma (+ y a) y b) y c) y i))) (cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))
44.0ms
(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
1.0ms
(cbrt (fma (fma (fma (+ y a) y b) y c) y i))
1.0ms
(cbrt (fma (fma (fma (+ y a) y b) y c) y i))

series2.1s

Counts
4 → 12
Calls
4 calls:
1.4s
(/ (/ (/ (fma (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y t) (cbrt (fma (fma (fma (+ y a) y b) y c) y i))) (cbrt (fma (fma (fma (+ y a) y b) y c) y i))) (cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))
268.0ms
(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
245.0ms
(cbrt (fma (fma (fma (+ y a) y b) y c) y i))
251.0ms
(cbrt (fma (fma (fma (+ y a) y b) y c) y i))

simplify2.5s

Counts
1032 → 1032
Iterations

Useful iterations: done (2.4s)

IterNodesCost
01437111451
12950104087
done5000100737

prune4.5s

Pruning

13 alts after pruning (10 fresh and 3 done)

Merged error: 9.1b

regimes1.7s

Accuracy

91.8% (1.6b remaining)

Error of 10.7b against oracle of 9.1b and baseline of 28.6b

bsearch304.0ms

Steps
ItersRangePoint
9
5.5948430977787605e+100
3.2392840095267677e+106
5.660347026355408e+100
8
-1.1370323170418813e+44
-2.0501759922108544e+40
-1.1154426380429388e+44

simplify10.0ms

Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
03350
14946
done4946

end0.0ms

sample2.8s

Algorithm
intervals
Results
1.9s8221×body80valid