Details

Time bar (total: 12.9s)

sample40.0ms

Algorithm
intervals
Results
20.0ms259×body80valid

simplify2.2s

Counts
1 → 1
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
02633
14826
210226
321526
453026
5122826
6207326
7248626
8314426
done500026

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 29.8b

localize26.0ms

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)
0.1b
(* (+ (* (+ y a) y) b) y)
29.0b
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite120.0ms

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:
35.0ms
(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
11.0ms
(* (+ (* x y) z) y)
19.0ms
(* (+ (* (+ y a) y) b) y)
52.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series504.0ms

Counts
4 → 12
Calls
4 calls:
85.0ms
(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
35.0ms
(* (+ (* x y) z) y)
39.0ms
(* (+ (* (+ y a) y) b) y)
345.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify661.0ms

Counts
111 → 111
Iterations

Useful iterations: 2 (165.0ms)

IterNodesCost
02052703
15452204
219951994
done50001994

prune622.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 28.8b

localize31.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ (* x y) z) y)
0.3b
(fma y b (fma (* y y) a (pow y 3)))
13.8b
(fma (* y y) a (pow y 3))
29.0b
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (fma y b (fma (* y y) a (pow y 3))) c) y) i))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
14×add-cube-cbrt *-un-lft-identity
9×times-frac
8×add-exp-log add-cbrt-cube
6×pow1
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×flip3-+ associate-*r* associate-*l* associate-/r* flip-+ associate-/l*
2×associate-*l/ associate-/r/ fma-udef associate-/l/
1×cbrt-undiv frac-2neg div-exp pow-prod-down prod-exp clear-num *-commutative cbrt-unprod div-inv unswap-sqr
Counts
4 → 75
Calls
4 calls:
11.0ms
(* (+ (* x y) z) y)
0.0ms
(fma y b (fma (* y y) a (pow y 3)))
0.0ms
(fma (* y y) a (pow y 3))
38.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (fma y b (fma (* y y) a (pow y 3))) c) y) i))

series477.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(* (+ (* x y) z) y)
42.0ms
(fma y b (fma (* y y) a (pow y 3)))
48.0ms
(fma (* y y) a (pow y 3))
353.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (fma y b (fma (* y y) a (pow y 3))) c) y) i))

simplify487.0ms

Counts
87 → 87
Iterations

Useful iterations: done (485.0ms)

IterNodesCost
01552335
13672046
212651860
done50001723

prune483.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 28.8b

localize35.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt y)
0.5b
(cbrt y)
0.5b
(cbrt y)
29.0b
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (* (* (cbrt y) (cbrt y)) (fma (+ y a) y b)) (cbrt y)) c) y) i))

rewrite122.0ms

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:
0.0ms
(cbrt y)
0.0ms
(cbrt y)
1.0ms
(cbrt y)
119.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (* (* (cbrt y) (cbrt y)) (fma (+ y a) y b)) (cbrt y)) c) y) i))

series922.0ms

Counts
4 → 12
Calls
4 calls:
182.0ms
(cbrt y)
185.0ms
(cbrt y)
178.0ms
(cbrt y)
376.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (* (* (cbrt y) (cbrt y)) (fma (+ y a) y b)) (cbrt y)) c) y) i))

simplify1.3s

Counts
84 → 84
Iterations

Useful iterations: 3 (467.0ms)

IterNodesCost
01162161
12731855
28131573
331151377
done50011377

prune461.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 28.8b

localize35.0ms

Local error

Found 4 expressions with local error:

15.7b
(cbrt (* (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y))
15.7b
(cbrt (* (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y))
15.7b
(cbrt (* (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y))
29.0b
(/ (+ (* (* (cbrt (* (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y)) (cbrt (* (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y))) (cbrt (* (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y))) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
6×add-exp-log add-cbrt-cube
4×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
3×cbrt-prod 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 → 66
Calls
4 calls:
2.0ms
(cbrt (* (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y))
1.0ms
(cbrt (* (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y))
1.0ms
(cbrt (* (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y))
53.0ms
(/ (+ (* (* (cbrt (* (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y)) (cbrt (* (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y))) (cbrt (* (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y))) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series977.0ms

Counts
4 → 12
Calls
4 calls:
200.0ms
(cbrt (* (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y))
199.0ms
(cbrt (* (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y))
198.0ms
(cbrt (* (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y))
380.0ms
(/ (+ (* (* (cbrt (* (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y)) (cbrt (* (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y))) (cbrt (* (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y))) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify1.3s

Counts
78 → 78
Iterations

Useful iterations: 3 (572.0ms)

IterNodesCost
01423652
13433442
29232013
329961840
done50011840

prune460.0ms

Pruning

10 alts after pruning (6 fresh and 4 done)

Merged error: 28.8b

regimes599.0ms

Accuracy

0% (1.1b remaining)

Error of 29.5b against oracle of 28.5b and baseline of 29.5b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02735
13835
done3835

end0.0ms

sample921.0ms

Algorithm
intervals
Results
562.0ms8249×body80valid