Details

Time bar (total: 13.2s)

sample36.0ms

Algorithm
intervals
Results
16.0ms259×body80valid

simplify2.7s

Counts
1 → 1
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
02633
14826
210226
322126
454926
5129326
6217326
7325726
8393326
done500126

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 29.8b

localize21.0ms

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))

rewrite110.0ms

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:
32.0ms
(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
10.0ms
(* (+ (* x y) z) y)
17.0ms
(* (+ (* (+ y a) y) b) y)
48.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series477.0ms

Counts
4 → 12
Calls
4 calls:
81.0ms
(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
33.0ms
(* (+ (* x y) z) y)
38.0ms
(* (+ (* (+ y a) y) b) y)
326.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify702.0ms

Counts
111 → 111
Iterations

Useful iterations: 2 (165.0ms)

IterNodesCost
02052703
15512204
222211994
done50001994

prune623.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 28.8b

localize30.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ (* x y) z) y)
0.3b
(fma y b (fma (pow y 2) a (pow y 3)))
13.8b
(fma (pow y 2) a (pow y 3))
29.0b
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (fma y b (fma (pow y 2) a (pow y 3))) c) y) i))

rewrite48.0ms

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:
10.0ms
(* (+ (* x y) z) y)
0.0ms
(fma y b (fma (pow y 2) a (pow y 3)))
0.0ms
(fma (pow y 2) a (pow y 3))
36.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (fma y b (fma (pow y 2) a (pow y 3))) c) y) i))

series458.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(* (+ (* x y) z) y)
40.0ms
(fma y b (fma (pow y 2) a (pow y 3)))
46.0ms
(fma (pow y 2) a (pow y 3))
338.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (fma y b (fma (pow y 2) a (pow y 3))) c) y) i))

simplify698.0ms

Counts
87 → 87
Iterations

Useful iterations: done (695.0ms)

IterNodesCost
01552335
13652046
213561860
done50001780

prune485.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 28.8b

localize26.0ms

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))

rewrite114.0ms

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)
0.0ms
(cbrt y)
111.0ms
(/ (+ (* (+ (* (+ (* (+ (* 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))

series905.0ms

Counts
4 → 12
Calls
4 calls:
188.0ms
(cbrt y)
176.0ms
(cbrt y)
179.0ms
(cbrt y)
362.0ms
(/ (+ (* (+ (* (+ (* (+ (* 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))

simplify1.2s

Counts
84 → 84
Iterations

Useful iterations: 3 (310.0ms)

IterNodesCost
01162161
12731855
28421573
333211377
done50001377

prune450.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 28.8b

localize26.0ms

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))

rewrite57.0ms

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:
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))
1.0ms
(cbrt (* (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y))
52.0ms
(/ (+ (* (* (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))

series945.0ms

Counts
4 → 12
Calls
4 calls:
192.0ms
(cbrt (* (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y))
192.0ms
(cbrt (* (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y))
191.0ms
(cbrt (* (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y))
370.0ms
(/ (+ (* (* (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))

simplify1.1s

Counts
78 → 78
Iterations

Useful iterations: 3 (327.0ms)

IterNodesCost
01423652
13433442
29452013
331581840
done50011840

prune445.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 28.8b

regimes522.0ms

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
02633
14133
done4133

end0.0ms

sample915.0ms

Algorithm
intervals
Results
546.0ms8249×body80valid