Details

Time bar (total: 9.5s)

sample44.0ms

Algorithm
intervals
Results
16.0ms265×body80valid

simplify89.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
04816
110216
229216
380316
4214316
5361616
6416616
7500216
done500216

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.6b

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite227.0ms

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:
25.0ms
(* (+ (* x y) z) y)
39.0ms
(* (+ (* (+ y a) y) b) y)
47.0ms
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
113.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series497.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(* (+ (* x y) z) y)
38.0ms
(* (+ (* (+ y a) y) b) y)
54.0ms
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
371.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify62.0ms

Counts
111 → 111
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
05341179
121481042
250011024
done50011024

prune554.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 29.6b

localize28.0ms

Local error

Found 4 expressions with local error:

21.4b
(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
21.4b
(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
21.4b
(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
29.9b
(/ (+ (* (+ (* (* (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y)) (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))) (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite415.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
6×add-exp-log cbrt-div associate-*l/ add-cbrt-cube
5×flip3-+ flip-+
4×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
3×cbrt-prod pow1/3 associate-/r* associate-/l*
2×associate-/r/ associate-/l/
1×cbrt-undiv frac-2neg div-exp clear-num div-inv
Counts
4 → 72
Calls
4 calls:
18.0ms
(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
18.0ms
(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
17.0ms
(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
360.0ms
(/ (+ (* (+ (* (* (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y)) (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))) (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series1.0s

Counts
4 → 12
Calls
4 calls:
197.0ms
(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
196.0ms
(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
193.0ms
(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
462.0ms
(/ (+ (* (+ (* (* (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y)) (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))) (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify51.0ms

Counts
84 → 84
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
04242035
113131851
250021768
done50021768

prune552.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 29.6b

localize28.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ (* (+ y a) y) b) y)
0.1b
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
0.4b
(/ 1 (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))
30.0b
(/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))

rewrite304.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
64×add-sqr-sqrt
60×add-cube-cbrt *-un-lft-identity
21×add-exp-log
18×associate-/r*
15×add-cbrt-cube
11×associate-/r/
9×pow1
8×flip3-+ div-exp flip-+
6×associate-*r* associate-*l* div-inv associate-/l*
4×cbrt-undiv expm1-log1p-u associate-*l/ log1p-expm1-u add-log-exp
2×rec-exp frac-2neg 1-exp pow-prod-down prod-exp clear-num *-commutative cbrt-unprod associate-/l/ unswap-sqr
1×pow-flip inv-pow
Counts
4 → 163
Calls
4 calls:
38.0ms
(* (+ (* (+ y a) y) b) y)
46.0ms
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
101.0ms
(/ 1 (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))
113.0ms
(/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))

series1.1s

Counts
4 → 12
Calls
4 calls:
41.0ms
(* (+ (* (+ y a) y) b) y)
56.0ms
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
464.0ms
(/ 1 (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))
518.0ms
(/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))

simplify99.0ms

Counts
175 → 175
Iterations

Useful iterations: 2 (72.0ms)

IterNodesCost
07093452
132383037
250012877
done50012877

prune730.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 29.6b

localize26.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ (* (+ y a) y) b) y)
0.4b
(/ 1 (* (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (/ 1 (* (fma (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y t) 1))))
0.4b
(/ 1 (* (fma (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y t) 1))
29.6b
(* (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (/ 1 (* (fma (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y t) 1)))

rewrite303.0ms

Algorithm
rewrite-expression-head
Rules
139×add-exp-log
71×prod-exp
52×div-exp
41×1-exp
34×add-cbrt-cube
26×rec-exp
17×add-sqr-sqrt
14×pow1
13×add-cube-cbrt *-un-lft-identity
10×cbrt-undiv associate-*r* cbrt-unprod
9×times-frac
6×associate-*l* associate-*l/ associate-/r/ associate-/l*
5×flip3-+ flip-+
4×expm1-log1p-u frac-times pow-flip pow-prod-down log1p-expm1-u add-log-exp
3×div-inv
2×frac-2neg associate-*r/ clear-num associate-/r* un-div-inv *-commutative inv-pow unswap-sqr
Counts
4 → 161
Calls
4 calls:
39.0ms
(* (+ (* (+ y a) y) b) y)
121.0ms
(/ 1 (* (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (/ 1 (* (fma (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y t) 1))))
11.0ms
(/ 1 (* (fma (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y t) 1))
126.0ms
(* (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (/ 1 (* (fma (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y t) 1)))

series1.2s

Counts
4 → 12
Calls
4 calls:
41.0ms
(* (+ (* (+ y a) y) b) y)
461.0ms
(/ 1 (* (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (/ 1 (* (fma (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y t) 1))))
124.0ms
(/ 1 (* (fma (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y t) 1))
532.0ms
(* (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (/ 1 (* (fma (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y t) 1)))

simplify72.0ms

Counts
173 → 173
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
06312075
124551514
250011485
done50011485

prune541.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 29.6b

regimes588.0ms

Accuracy

0% (1.3b remaining)

Error of 29.1b against oracle of 27.9b and baseline of 29.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04517
14517
done4517

end0.0ms

sample1.0s

Algorithm
intervals
Results
512.0ms8239×body80valid