Details

Time bar (total: 8.8s)

sample59.0ms

Algorithm
intervals
Results
39.0ms268×body80valid

simplify89.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
04816
110216
229216
380316
4214316
5361616
6416616
7500216

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.5b

localize25.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ (* (+ (* (+ y a) y) b) y) c) y)
0.1b
(* (+ (* x y) z) y)
0.1b
(* (+ (* (+ y a) y) b) y)
27.9b
(/ (+ (* (+ (* (+ (* (+ (* 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:
29.0ms
(* (+ (* (+ (* (+ y a) y) b) y) c) y)
10.0ms
(* (+ (* x y) z) y)
21.0ms
(* (+ (* (+ y a) y) b) y)
47.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series481.0ms

Counts
4 → 12
Calls
4 calls:
66.0ms
(* (+ (* (+ (* (+ y a) y) b) y) c) y)
32.0ms
(* (+ (* x y) z) y)
34.0ms
(* (+ (* (+ y a) y) b) y)
348.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify68.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
05331196
121541068
250011049

prune598.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 27.3b

localize24.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ (* x y) z) y)
0.1b
(* (+ (* (+ y a) y) b) y)
0.2b
(/ 1 (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))
27.9b
(/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))

rewrite122.0ms

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:
10.0ms
(* (+ (* x y) z) y)
17.0ms
(* (+ (* (+ y a) y) b) y)
44.0ms
(/ 1 (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))
46.0ms
(/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))

series909.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(* (+ (* x y) z) y)
33.0ms
(* (+ (* (+ y a) y) b) y)
406.0ms
(/ 1 (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))
439.0ms
(/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))

simplify98.0ms

Algorithm
egg-herbie
Counts
175 → 175
Iterations

Useful iterations: 2 (67.0ms)

IterNodesCost
07073406
132062996
250012837

prune693.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 27.3b

localize32.0ms

Local error

Found 4 expressions with local error:

22.8b
(cbrt (* (+ (* x y) z) y))
22.8b
(cbrt (* (+ (* x y) z) y))
22.8b
(cbrt (* (+ (* x y) z) y))
27.9b
(/ (+ (* (+ (* (+ (* (* (cbrt (* (+ (* x y) z) y)) (cbrt (* (+ (* x y) z) y))) (cbrt (* (+ (* x y) z) y))) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite144.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
6×add-exp-log cbrt-div associate-*l/ add-cbrt-cube
5×flip3-+ flip-+
4×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
3×cbrt-prod pow1/3 associate-/r* associate-/l*
2×associate-/r/ associate-/l/
1×cbrt-undiv frac-2neg div-exp clear-num div-inv
Counts
4 → 72
Calls
4 calls:
4.0ms
(cbrt (* (+ (* x y) z) y))
4.0ms
(cbrt (* (+ (* x y) z) y))
4.0ms
(cbrt (* (+ (* x y) z) y))
132.0ms
(/ (+ (* (+ (* (+ (* (* (cbrt (* (+ (* x y) z) y)) (cbrt (* (+ (* x y) z) y))) (cbrt (* (+ (* x y) z) y))) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series780.0ms

Counts
4 → 12
Calls
4 calls:
123.0ms
(cbrt (* (+ (* x y) z) y))
136.0ms
(cbrt (* (+ (* x y) z) y))
118.0ms
(cbrt (* (+ (* x y) z) y))
402.0ms
(/ (+ (* (+ (* (+ (* (* (cbrt (* (+ (* x y) z) y)) (cbrt (* (+ (* x y) z) y))) (cbrt (* (+ (* x y) z) y))) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify46.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
04161716
112841557
250011500

prune556.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 27.3b

localize27.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ (* (+ y a) y) b) y)
0.1b
(/ 1 (* (fma (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y t) 1))
0.2b
(/ 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))))
27.9b
(* (+ (* (+ (* (+ (* (+ 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)))

rewrite133.0ms

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:
18.0ms
(* (+ (* (+ y a) y) b) y)
4.0ms
(/ 1 (* (fma (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y t) 1))
54.0ms
(/ 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))))
52.0ms
(* (+ (* (+ (* (+ (* (+ 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)))

series1.0s

Counts
4 → 12
Calls
4 calls:
38.0ms
(* (+ (* (+ y a) y) b) y)
103.0ms
(/ 1 (* (fma (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y t) 1))
415.0ms
(/ 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))))
444.0ms
(* (+ (* (+ (* (+ (* (+ 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)))

simplify71.0ms

Algorithm
egg-herbie
Counts
173 → 173
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
06312075
124551514
250011485

prune536.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 27.3b

regimes620.0ms

Accuracy

74.4% (0.3b remaining)

Error of 28.5b against oracle of 28.2b and baseline of 29.3b

bsearch5.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06043
16043

end0.0ms

sample1.6s

Algorithm
intervals
Results
1.2s8244×body80valid