Details

Time bar (total: 8.0s)

sample43.0ms

Algorithm
intervals
Results
22.0ms261×body80valid

simplify88.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
04816
110216
229216
380316
4214316
5361616
6416616
7500216

prune5.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 27.1b

Counts
2 → 1

localize26.0ms

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)
26.5b
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite54.0ms

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:
7.0ms
(* (+ (* x y) z) y)
9.0ms
(* (+ (* (+ y a) y) b) y)
10.0ms
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
25.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series438.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(* (+ (* x y) z) y)
36.0ms
(* (+ (* (+ y a) y) b) y)
51.0ms
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
319.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify65.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
05341179
121481042
250011024

prune520.0ms

Filtered
111 candidates to 96 candidates (86.5%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New10011111
Fresh000
Picked101
Done000
Total10111112

Merged error: 26.2b

Counts
112 → 11

localize27.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ (* (+ y a) y) b) y)
0.1b
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
0.3b
(/ 1 (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))
26.5b
(/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))

rewrite75.0ms

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:
9.0ms
(* (+ (* (+ y a) y) b) y)
10.0ms
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
24.0ms
(/ 1 (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))
26.0ms
(/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))

series977.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(* (+ (* (+ y a) y) b) y)
59.0ms
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
427.0ms
(/ 1 (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))
456.0ms
(/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))

simplify104.0ms

Algorithm
egg-herbie
Counts
175 → 175
Iterations

Useful iterations: 2 (69.0ms)

IterNodesCost
07093452
132383037
250012877

prune636.0ms

Filtered
175 candidates to 118 candidates (67.4%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New1732175
Fresh2810
Picked011
Done000
Total17511186

Merged error: 26.2b

Counts
186 → 11

localize28.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
26.5b
(/ (+ (* (+ (* (+ (* (+ (* 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))

rewrite30.0ms

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)
25.0ms
(/ (+ (* (+ (* (+ (* (+ (* 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))

series885.0ms

Counts
4 → 12
Calls
4 calls:
174.0ms
(cbrt y)
181.0ms
(cbrt y)
175.0ms
(cbrt y)
354.0ms
(/ (+ (* (+ (* (+ (* (+ (* 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))

simplify102.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 3 (91.0ms)

IterNodesCost
02701111
18861004
23949981
35001980

prune456.0ms

Filtered
84 candidates to 72 candidates (85.7%)
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New84084
Fresh099
Picked011
Done011
Total841195

Merged error: 26.2b

Counts
95 → 11

localize24.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ (* (+ y a) y) b) y)
0.3b
(/ 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))))
0.6b
(/ 1 (* (fma (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y t) 1))
26.4b
(* (+ (* (+ (* (+ (* (+ 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)))

rewrite64.0ms

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:
9.0ms
(* (+ (* (+ y a) y) b) y)
20.0ms
(/ 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))))
5.0ms
(/ 1 (* (fma (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y t) 1))
20.0ms
(* (+ (* (+ (* (+ (* (+ 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)))

series1.1s

Counts
4 → 12
Calls
4 calls:
40.0ms
(* (+ (* (+ y a) y) b) y)
439.0ms
(/ 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))))
117.0ms
(/ 1 (* (fma (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y t) 1))
478.0ms
(* (+ (* (+ (* (+ (* (+ 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)))

simplify76.0ms

Algorithm
egg-herbie
Counts
173 → 173
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
06312075
124551514
250011485

prune503.0ms

Filtered
173 candidates to 92 candidates (53.2%)
Pruning

11 alts after pruning (8 fresh and 3 done)

PrunedKeptTotal
New1721173
Fresh178
Picked011
Done022
Total17311184

Merged error: 26.2b

Counts
184 → 11

regimes655.0ms

Accuracy

0% (1.3b remaining)

Error of 29.1b against oracle of 27.8b and baseline of 29.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04517
14517

end0.0ms

sample1.1s

Algorithm
intervals
Results
719.0ms8255×body80valid