Details

Time bar (total: 8.3s)

sample38.0ms

Algorithm
intervals
Results
19.0ms261×body80valid

simplify88.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04816
110216
229216
380316
4214316
5361616
6416616
7500116

prune5.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.9b

localize22.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ (* (+ (* (+ y a) y) b) y) c) y)
0.1b
(* (+ (* (+ y a) y) b) y)
0.1b
(* (+ (* x y) z) y)
28.2b
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite114.0ms

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
(* (+ (* (+ (* (+ y a) y) b) y) c) y)
18.0ms
(* (+ (* (+ y a) y) b) y)
11.0ms
(* (+ (* x y) z) y)
50.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series465.0ms

Counts
4 → 12
Calls
4 calls:
70.0ms
(* (+ (* (+ (* (+ y a) y) b) y) c) y)
34.0ms
(* (+ (* (+ y a) y) b) y)
36.0ms
(* (+ (* x y) z) y)
326.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify69.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
05331196
121541068
250011049

prune588.0ms

Filtered
111 candidates to 96 candidates (86.5%)
Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 27.9b

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ (* (+ y a) y) b) y)
0.1b
(* (+ (* x y) z) y)
0.2b
(/ 1 (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))
28.2b
(/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))

rewrite130.0ms

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:
19.0ms
(* (+ (* (+ y a) y) b) y)
10.0ms
(* (+ (* x y) z) y)
47.0ms
(/ 1 (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))
48.0ms
(/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))

series961.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(* (+ (* (+ y a) y) b) y)
34.0ms
(* (+ (* x y) z) y)
418.0ms
(/ 1 (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))
471.0ms
(/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))

simplify101.0ms

Algorithm
egg-herbie
Counts
175 → 175
Iterations

Useful iterations: 2 (71.0ms)

IterNodesCost
07073406
132062996
250012837

prune716.0ms

Filtered
175 candidates to 117 candidates (66.9%)
Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 27.9b

localize30.0ms

Local error

Found 4 expressions with local error:

19.7b
(cbrt (+ (* (+ y a) y) b))
19.7b
(cbrt (+ (* (+ y a) y) b))
19.7b
(cbrt (+ (* (+ y a) y) b))
28.2b
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (* (cbrt (+ (* (+ y a) y) b)) (cbrt (+ (* (+ y a) y) b))) (* (cbrt (+ (* (+ y a) y) b)) y)) c) y) i))

rewrite191.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×cbrt-prod times-frac
6×add-exp-log cbrt-div add-cbrt-cube
5×flip3-+ flip-+
4×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 associate-/r* associate-/l*
2×associate-/r/ associate-/l/
1×cbrt-undiv frac-2neg div-exp clear-num div-inv
Counts
4 → 78
Calls
4 calls:
4.0ms
(cbrt (+ (* (+ y a) y) b))
5.0ms
(cbrt (+ (* (+ y a) y) b))
4.0ms
(cbrt (+ (* (+ y a) y) b))
175.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (* (cbrt (+ (* (+ y a) y) b)) (cbrt (+ (* (+ y a) y) b))) (* (cbrt (+ (* (+ y a) y) b)) y)) c) y) i))

series663.0ms

Counts
4 → 12
Calls
4 calls:
109.0ms
(cbrt (+ (* (+ y a) y) b))
109.0ms
(cbrt (+ (* (+ y a) y) b))
108.0ms
(cbrt (+ (* (+ y a) y) b))
335.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (* (cbrt (+ (* (+ y a) y) b)) (cbrt (+ (* (+ y a) y) b))) (* (cbrt (+ (* (+ y a) y) b)) y)) c) y) i))

simplify49.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
03511732
111771576
250021484

prune578.0ms

Filtered
90 candidates to 83 candidates (92.2%)
Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 27.9b

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ (* x y) z) y)
0.1b
(/ 1 (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))
0.4b
(/ 1 (fma (fma (fma (+ y a) y b) y c) y i))
28.2b
(/ (/ 1 (fma (fma (fma (+ y a) y b) y c) y i)) (/ 1 (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))

rewrite105.0ms

Algorithm
rewrite-expression-head
Rules
483×times-frac
234×add-sqr-sqrt
232×add-cube-cbrt *-un-lft-identity
54×add-exp-log
36×div-exp
33×div-inv
31×associate-/r/
22×add-cbrt-cube
21×associate-/r*
19×associate-/l*
16×flip3-+ flip-+
10×cbrt-undiv rec-exp 1-exp
8×pow1
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×frac-2neg associate-*r* associate-*l* clear-num
2×pow-flip associate-*l/ inv-pow
1×pow-prod-down prod-exp *-commutative cbrt-unprod associate-/l/ unswap-sqr
Counts
4 → 347
Calls
4 calls:
11.0ms
(* (+ (* x y) z) y)
28.0ms
(/ 1 (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))
2.0ms
(/ 1 (fma (fma (fma (+ y a) y b) y c) y i))
41.0ms
(/ (/ 1 (fma (fma (fma (+ y a) y b) y c) y i)) (/ 1 (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))

series635.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(* (+ (* x y) z) y)
112.0ms
(/ 1 (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))
60.0ms
(/ 1 (fma (fma (fma (+ y a) y b) y c) y i))
426.0ms
(/ (/ 1 (fma (fma (fma (+ y a) y b) y c) y i)) (/ 1 (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))

simplify108.0ms

Algorithm
egg-herbie
Counts
359 → 359
Iterations

Useful iterations: 1 (30.0ms)

IterNodesCost
014838375
150017673

prune1.2s

Filtered
359 candidates to 184 candidates (51.3%)
Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 27.9b

regimes561.0ms

Accuracy

0% (1.1b remaining)

Error of 29.7b against oracle of 28.5b and baseline of 29.7b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04527
14527

end0.0ms

sample883.0ms

Algorithm
intervals
Results
535.0ms8231×body80valid