Details

Time bar (total: 8.5s)

sample42.0ms

Algorithm
intervals
Results
18.0ms265×body80valid

simplify91.0ms

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: 30.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ (* (+ (* (+ y a) y) b) y) c) y)
0.1b
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
0.1b
(* (+ (* (+ y a) y) b) y)
29.3b
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite272.0ms

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:
65.0ms
(* (+ (* (+ (* (+ y a) y) b) y) c) y)
48.0ms
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
40.0ms
(* (+ (* (+ y a) y) b) y)
116.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series529.0ms

Counts
4 → 12
Calls
4 calls:
74.0ms
(* (+ (* (+ (* (+ y a) y) b) y) c) y)
56.0ms
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
40.0ms
(* (+ (* (+ y a) y) b) y)
358.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify68.0ms

Counts
111 → 111
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
05351242
121861109
250011089
done50011089

prune603.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 28.8b

localize24.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ (* x y) z) y)
0.1b
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
0.1b
(/ 1 (* (fma (fma (fma (+ y a) y b) y c) y i) 1))
29.3b
(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (* (fma (fma (fma (+ y a) y b) y c) y i) 1)))

rewrite237.0ms

Algorithm
rewrite-expression-head
Rules
49×add-exp-log
24×prod-exp
22×add-cbrt-cube
19×add-sqr-sqrt
13×pow1 add-cube-cbrt *-un-lft-identity associate-*r*
12×1-exp div-exp
9×associate-*l*
7×cbrt-unprod
6×rec-exp times-frac associate-*l/
4×cbrt-undiv expm1-log1p-u flip3-+ pow-prod-down flip-+ log1p-expm1-u add-log-exp
3×*-commutative associate-/l* unswap-sqr
2×frac-times pow-flip div-inv
1×frac-2neg associate-*r/ clear-num associate-/r* un-div-inv inv-pow
Counts
4 → 118
Calls
4 calls:
25.0ms
(* (+ (* x y) z) y)
48.0ms
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
11.0ms
(/ 1 (* (fma (fma (fma (+ y a) y b) y c) y i) 1))
150.0ms
(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (* (fma (fma (fma (+ y a) y b) y c) y i) 1)))

series513.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(* (+ (* x y) z) y)
59.0ms
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
62.0ms
(/ 1 (* (fma (fma (fma (+ y a) y b) y c) y i) 1))
356.0ms
(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (* (fma (fma (fma (+ y a) y b) y c) y i) 1)))

simplify67.0ms

Counts
130 → 130
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
05451168
12207978
25001910
done5001910

prune569.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 28.8b

localize26.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
29.3b
(/ (+ (* (+ (* (+ (* (+ (* 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))

rewrite204.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×cbrt-prod times-frac
6×add-exp-log add-cbrt-cube
4×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 associate-/r* associate-/l*
2×flip3-+ associate-/r/ flip-+ associate-/l/
1×cbrt-undiv frac-2neg div-exp clear-num div-inv
Counts
4 → 72
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)
200.0ms
(/ (+ (* (+ (* (+ (* (+ (* 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))

series932.0ms

Counts
4 → 12
Calls
4 calls:
177.0ms
(cbrt y)
180.0ms
(cbrt y)
180.0ms
(cbrt y)
394.0ms
(/ (+ (* (+ (* (+ (* (+ (* 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))

simplify105.0ms

Counts
84 → 84
Iterations

Useful iterations: 3 (95.0ms)

IterNodesCost
02701111
18861004
23949981
35001980
done5001980

prune503.0ms

Pruning

15 alts after pruning (13 fresh and 2 done)

Merged error: 28.8b

localize32.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
29.3b
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (* (* (fma (+ y a) y b) (cbrt y)) (cbrt y)) (* (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y)))) c) y) i))

rewrite343.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×cbrt-prod times-frac
6×add-exp-log add-cbrt-cube
4×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 associate-/r* associate-/l*
2×flip3-+ associate-/r/ flip-+ associate-/l/
1×cbrt-undiv frac-2neg div-exp clear-num div-inv
Counts
4 → 72
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)
339.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (* (* (fma (+ y a) y b) (cbrt y)) (cbrt y)) (* (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y)))) c) y) i))

series948.0ms

Counts
4 → 12
Calls
4 calls:
189.0ms
(cbrt y)
184.0ms
(cbrt y)
180.0ms
(cbrt y)
394.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (* (* (fma (+ y a) y b) (cbrt y)) (cbrt y)) (* (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y)))) c) y) i))

simplify119.0ms

Counts
84 → 84
Iterations

Useful iterations: 3 (107.0ms)

IterNodesCost
02751447
19151312
242201281
350011270
done50011270

prune518.0ms

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 28.8b

regimes766.0ms

Accuracy

0% (1.1b remaining)

Error of 29.3b against oracle of 28.2b and baseline of 29.3b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03915
14115
24115
done4115

end0.0ms

sample1.0s

Algorithm
intervals
Results
506.0ms8241×body80valid