Details

Time bar (total: 41.6s)

sample110.0ms

Algorithm
intervals
Results
79.0ms264×body80valid

simplify2.2s

Counts
1 → 1
Iterations
IterNodes
63460
51942
4856
3302
2102
148
026

prune35.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 29.9b

localize55.0ms

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)
29.9b
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite295.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
18×*-un-lft-identity add-cube-cbrt
12×add-cbrt-cube add-exp-log
10×pow1
9×times-frac associate-*r* associate-*l*
6×associate-*l/
5×flip3-+ flip-+
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×associate-/r* pow-prod-down prod-exp *-commutative cbrt-unprod associate-/l* unswap-sqr
2×associate-/r/ associate-/l/
1×cbrt-undiv clear-num frac-2neg div-exp div-inv
Counts
4 → 103
Calls
4 calls:
55.0ms
(* (+ (* (+ y a) y) b) y)
70.0ms
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
25.0ms
(* (+ (* x y) z) y)
143.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series627.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(* (+ (* (+ y a) y) b) y)
70.0ms
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
46.0ms
(* (+ (* x y) z) y)
461.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify5.4s

Counts
115 → 115
Iterations
IterNodes
38599
21996
1538
0206

prune2.6s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 29.3b

localize118.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
29.9b
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (* (fma (+ y a) y b) (* (cbrt y) (cbrt y))) (cbrt y)) c) y) i))

rewrite243.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
9×cbrt-prod times-frac
6×add-cbrt-cube add-exp-log
4×expm1-log1p-u pow1 insert-posit16 log1p-expm1-u add-log-exp
3×associate-/r* pow1/3 associate-/l*
2×flip3-+ associate-/r/ flip-+ associate-/l/
1×cbrt-undiv clear-num frac-2neg div-exp div-inv
Counts
4 → 76
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)
240.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (* (fma (+ y a) y b) (* (cbrt y) (cbrt y))) (cbrt y)) c) y) i))

series1.4s

Counts
4 → 12
Calls
4 calls:
288.0ms
(cbrt y)
294.0ms
(cbrt y)
298.0ms
(cbrt y)
505.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (* (fma (+ y a) y b) (* (cbrt y) (cbrt y))) (cbrt y)) c) y) i))

simplify1.8s

Counts
88 → 88
Iterations
IterNodes
33598
2864
1277
0118

prune2.1s

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 29.3b

localize76.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
29.9b
(/ (+ (* (+ (* (+ (* (* (* (cbrt y) (cbrt y)) (fma y x z)) (cbrt y)) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite343.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
9×cbrt-prod times-frac
6×add-cbrt-cube add-exp-log
4×expm1-log1p-u pow1 insert-posit16 log1p-expm1-u add-log-exp
3×associate-/r* pow1/3 associate-/l*
2×flip3-+ associate-/r/ flip-+ associate-/l/
1×cbrt-undiv clear-num frac-2neg div-exp div-inv
Counts
4 → 76
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)
338.0ms
(/ (+ (* (+ (* (+ (* (* (* (cbrt y) (cbrt y)) (fma y x z)) (cbrt y)) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series1.3s

Counts
4 → 12
Calls
4 calls:
285.0ms
(cbrt y)
298.0ms
(cbrt y)
313.0ms
(cbrt y)
406.0ms
(/ (+ (* (+ (* (+ (* (* (* (cbrt y) (cbrt y)) (fma y x z)) (cbrt y)) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify1.6s

Counts
88 → 88
Iterations
IterNodes
33707
2876
1277
0118

prune2.0s

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 29.3b

localize96.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ 1 (fma (fma y (fma (+ y a) y b) c) y i))
0.1b
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
0.1b
(* (+ (* x y) z) y)
29.9b
(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (fma (fma y (fma (+ y a) y b) c) y i)))

rewrite283.0ms

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-+ insert-posit16 log1p-expm1-u add-log-exp
3×associate-/r* pow-prod-down *-commutative associate-/l*
2×frac-times cbrt-undiv rec-exp 1-exp div-inv
1×clear-num frac-2neg associate-*r/ un-div-inv pow-flip inv-pow
Counts
4 → 123
Calls
4 calls:
4.0ms
(/ 1 (fma (fma y (fma (+ y a) y b) c) y i))
75.0ms
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
38.0ms
(* (+ (* x y) z) y)
165.0ms
(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (fma (fma y (fma (+ y a) y b) c) y i)))

series654.0ms

Counts
4 → 12
Calls
4 calls:
72.0ms
(/ 1 (fma (fma y (fma (+ y a) y b) c) y i))
65.0ms
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
38.0ms
(* (+ (* x y) z) y)
480.0ms
(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (fma (fma y (fma (+ y a) y b) c) y i)))

simplify10.7s

Counts
135 → 135
Iterations
IterNodes
36997
21745
1508
0205

prune2.9s

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 29.3b

regimes2.0s

Accuracy

0% (0.8b remaining)

Error of 28.1b against oracle of 27.3b and baseline of 28.1b

bsearch0.0ms

simplify6.0ms

Iterations
IterNodes
242
142
028

end0.0ms

sample2.7s

Algorithm
intervals
Results
2.2s8251×body80valid