Details

Time bar (total: 38.9s)

sample64.0ms

Algorithm
intervals
Results
34.0ms265×body80valid

simplify8.0s

Counts
1 → 1
Iterations
IterNodes
done5000
84575
74282
63462
51942
4856
3302
2102
148
026

prune23.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 31.4b

localize76.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
0.1b
(* (+ (* (+ y a) y) b) y)
0.1b
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
30.7b
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite315.0ms

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 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 → 99
Calls
4 calls:
88.0ms
(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
48.0ms
(* (+ (* (+ y a) y) b) y)
39.0ms
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
138.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series816.0ms

Counts
4 → 12
Calls
4 calls:
116.0ms
(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
55.0ms
(* (+ (* (+ y a) y) b) y)
81.0ms
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
564.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify2.1s

Counts
111 → 111
Iterations
IterNodes
done5000
22057
1539
0205

prune1.4s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 30.4b

localize79.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
0.1b
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
0.6b
(/ 1 (fma (fma y (fma y (+ y a) b) c) y i))
30.5b
(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (fma (fma y (fma y (+ y a) b) c) y i)))

rewrite344.0ms

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×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 → 119
Calls
4 calls:
96.0ms
(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
58.0ms
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
8.0ms
(/ 1 (fma (fma y (fma y (+ y a) b) c) y i))
178.0ms
(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (fma (fma y (fma y (+ y a) b) c) y i)))

series816.0ms

Counts
4 → 12
Calls
4 calls:
152.0ms
(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
89.0ms
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
85.0ms
(/ 1 (fma (fma y (fma y (+ y a) b) c) y i))
489.0ms
(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (fma (fma y (fma y (+ y a) b) c) y i)))

simplify2.3s

Counts
131 → 131
Iterations
IterNodes
done5002
21737
1508
0204

prune1.4s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 30.4b

localize149.0ms

Local error

Found 4 expressions with local error:

17.0b
(cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))
17.0b
(cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))
17.0b
(cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))
25.6b
(/ (* (cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)) (cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))) (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))))

rewrite407.0ms

Algorithm
rewrite-expression-head
Rules
60×times-frac
33×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
27×cbrt-prod
24×associate-/r*
22×cbrt-div
16×add-exp-log
11×flip3-+ flip-+
10×add-cbrt-cube
8×associate-/l/
6×cbrt-undiv div-exp
5×associate-/r/
4×expm1-log1p-u frac-times pow1 log1p-expm1-u add-log-exp
3×pow1/3 div-inv
2×associate-*l/ prod-exp associate-*r/ cbrt-unprod
1×clear-num frac-2neg associate-/l*
Counts
4 → 123
Calls
4 calls:
32.0ms
(cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))
34.0ms
(cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))
35.0ms
(cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))
301.0ms
(/ (* (cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)) (cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))) (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))))

series1.5s

Counts
4 → 12
Calls
4 calls:
279.0ms
(cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))
334.0ms
(cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))
354.0ms
(cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))
523.0ms
(/ (* (cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)) (cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))) (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))))

simplify3.0s

Counts
135 → 135
Iterations
IterNodes
done5000
21929
1642
0232

prune1.8s

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 30.4b

localize251.0ms

Local error

Found 4 expressions with local error:

19.7b
(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
19.7b
(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
19.7b
(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
24.2b
(/ (* (cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)) (cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))) (* (cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)) (cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))))

rewrite418.0ms

Algorithm
rewrite-expression-head
Rules
30×cbrt-div
16×add-exp-log
15×flip3-+ flip-+
9×cbrt-prod
8×frac-times add-cbrt-cube associate-/r/ associate-/l/
7×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×expm1-log1p-u pow1 cbrt-undiv div-exp associate-*l/ prod-exp associate-*r/ cbrt-unprod log1p-expm1-u add-log-exp
3×pow1/3
1×clear-num associate-/r* frac-2neg times-frac div-inv associate-/l*
Counts
4 → 84
Calls
4 calls:
24.0ms
(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
45.0ms
(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
43.0ms
(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
303.0ms
(/ (* (cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)) (cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))) (* (cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)) (cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))))

series4.7s

Counts
4 → 12
Calls
4 calls:
238.0ms
(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
189.0ms
(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
179.0ms
(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
4.1s
(/ (* (cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)) (cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))) (* (cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)) (cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))))

simplify3.5s

Counts
96 → 96
Iterations
IterNodes
done5001
33687
21072
1407
0148

prune1.5s

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 30.4b

regimes1.5s

Accuracy

0% (1.1b remaining)

Error of 29.1b against oracle of 28.0b and baseline of 29.1b

bsearch0.0ms

simplify5.0ms

Iterations
IterNodes
done37
137
025

end0.0ms

sample2.4s

Algorithm
intervals
Results
1.8s8234×body80valid