Details

Time bar (total: 7.5s)

sample36.0ms

Algorithm
intervals
Results
17.0ms266×body80valid

simplify86.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04816
110216
229216
380316
4214316
5361616
6416616
7500216

prune4.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 26.9b

localize26.0ms

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
(* (+ (* x y) z) y)
26.2b
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite109.0ms

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:
28.0ms
(* (+ (* (+ (* (+ y a) y) b) y) c) y)
22.0ms
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
10.0ms
(* (+ (* x y) z) y)
46.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series475.0ms

Counts
4 → 12
Calls
4 calls:
68.0ms
(* (+ (* (+ (* (+ y a) y) b) y) c) y)
51.0ms
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
35.0ms
(* (+ (* x y) z) y)
320.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify66.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
05311215
121501085
250021065

prune607.0ms

Filtered
111 candidates to 96 candidates (86.5%)
Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 26.0b

localize29.0ms

Local error

Found 4 expressions with local error:

9.4b
(cbrt (+ (* x y) z))
9.4b
(cbrt (+ (* x y) z))
9.4b
(cbrt (+ (* x y) z))
26.2b
(/ (+ (* (+ (* (+ (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (* (cbrt (+ (* x y) z)) y)) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite177.0ms

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:
2.0ms
(cbrt (+ (* x y) z))
2.0ms
(cbrt (+ (* x y) z))
2.0ms
(cbrt (+ (* x y) z))
168.0ms
(/ (+ (* (+ (* (+ (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (* (cbrt (+ (* x y) z)) y)) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series634.0ms

Counts
4 → 12
Calls
4 calls:
105.0ms
(cbrt (+ (* x y) z))
108.0ms
(cbrt (+ (* x y) z))
103.0ms
(cbrt (+ (* x y) z))
318.0ms
(/ (+ (* (+ (* (+ (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (* (cbrt (+ (* x y) z)) y)) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify45.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
03701572
111941433
250011387

prune590.0ms

Filtered
90 candidates to 84 candidates (93.3%)
Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 26.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
26.2b
(/ (+ (* (+ (* (* (* (fma (fma x y z) y 27464.7644705) (cbrt y)) (cbrt y)) (cbrt y)) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite111.0ms

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)
108.0ms
(/ (+ (* (+ (* (* (* (fma (fma x y z) y 27464.7644705) (cbrt y)) (cbrt y)) (cbrt y)) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series881.0ms

Counts
4 → 12
Calls
4 calls:
173.0ms
(cbrt y)
171.0ms
(cbrt y)
171.0ms
(cbrt y)
366.0ms
(/ (+ (* (+ (* (* (* (fma (fma x y z) y 27464.7644705) (cbrt y)) (cbrt y)) (cbrt y)) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify109.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 3 (93.0ms)

IterNodesCost
02681072
1883974
23941952
35001942

prune512.0ms

Filtered
84 candidates to 72 candidates (85.7%)
Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 26.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
26.2b
(/ (fma (fma (* (* (fma (fma x y z) y 27464.7644705) (cbrt y)) (cbrt y)) (cbrt y) 230661.510616) y t) (* (fma (fma (fma (+ y a) y b) y c) y i) 1))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
11×add-exp-log
9×cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-cbrt-cube
4×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
3×times-frac pow1/3 div-exp associate-/l*
2×cbrt-undiv prod-exp
1×frac-2neg 1-exp clear-num associate-/r* cbrt-unprod div-inv
Counts
4 → 63
Calls
4 calls:
0.0ms
(cbrt y)
0.0ms
(cbrt y)
0.0ms
(cbrt y)
3.0ms
(/ (fma (fma (* (* (fma (fma x y z) y 27464.7644705) (cbrt y)) (cbrt y)) (cbrt y) 230661.510616) y t) (* (fma (fma (fma (+ y a) y b) y c) y i) 1))

series1.1s

Counts
4 → 12
Calls
4 calls:
179.0ms
(cbrt y)
178.0ms
(cbrt y)
181.0ms
(cbrt y)
517.0ms
(/ (fma (fma (* (* (fma (fma x y z) y 27464.7644705) (cbrt y)) (cbrt y)) (cbrt y) 230661.510616) y t) (* (fma (fma (fma (+ y a) y b) y c) y i) 1))

simplify48.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 3 (40.0ms)

IterNodesCost
0185622
1510525
21550511
35001485

prune430.0ms

Filtered
75 candidates to 61 candidates (81.3%)
Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 26.0b

regimes512.0ms

Accuracy

0% (1.2b remaining)

Error of 29.0b against oracle of 27.8b and baseline of 29.0b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03215
13615
23615

end0.0ms

sample880.0ms

Algorithm
intervals
Results
527.0ms8246×body80valid