Details

Time bar (total: 8.6s)

sample60.0ms

Algorithm
intervals
Results
40.0ms268×body80valid

simplify108.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
04116
18816
225416
366316
4161516
5236216
6258416
7312216
8500116

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.5b

localize22.0ms

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))

rewrite107.0ms

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×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 → 91
Calls
4 calls:
30.0ms
(* (+ (* (+ (* (+ y a) y) b) y) c) y)
10.0ms
(* (+ (* x y) z) y)
17.0ms
(* (+ (* (+ 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))

series463.0ms

Counts
4 → 12
Calls
4 calls:
71.0ms
(* (+ (* (+ (* (+ y a) y) b) y) c) y)
33.0ms
(* (+ (* x y) z) y)
37.0ms
(* (+ (* (+ y a) y) b) y)
322.0ms
(/ (+ (* (+ (* (+ (* (+ (* 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
103 → 103
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
05071214
122271108
250021108

prune453.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 27.3b

localize26.0ms

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))

rewrite123.0ms

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 associate-*l/ 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 → 155
Calls
4 calls:
10.0ms
(* (+ (* x y) z) y)
17.0ms
(* (+ (* (+ y a) y) b) y)
45.0ms
(/ 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))

series958.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(* (+ (* x y) z) y)
35.0ms
(* (+ (* (+ y a) y) b) y)
419.0ms
(/ 1 (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))
467.0ms
(/ (+ (* (+ (* (+ (* (+ 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
167 → 167
Iterations

Useful iterations: 2 (69.0ms)

IterNodesCost
06823532
133133262
250013182

prune567.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 27.3b

localize28.0ms

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))

rewrite145.0ms

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 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 → 64
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))

series792.0ms

Counts
4 → 12
Calls
4 calls:
124.0ms
(cbrt (* (+ (* x y) z) y))
132.0ms
(cbrt (* (+ (* x y) z) y))
126.0ms
(cbrt (* (+ (* x y) z) y))
409.0ms
(/ (+ (* (+ (* (+ (* (* (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))

simplify45.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
03931666
112261529
250011486

prune484.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 27.3b

localize28.0ms

Local error

Found 4 expressions with local error:

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

rewrite217.0ms

Algorithm
rewrite-expression-head
Rules
54×add-exp-log
33×add-sqr-sqrt
25×*-un-lft-identity
24×add-cube-cbrt
23×times-frac
22×add-cbrt-cube
20×div-exp
18×associate-*r*
17×prod-exp
12×pow1
10×rec-exp 1-exp associate-/r/
7×flip3-+ flip-+
6×cbrt-undiv associate-*l* associate-*l/ associate-/l*
5×cbrt-unprod
4×frac-times associate-/r* add-log-exp unswap-sqr
3×pow-flip pow-prod-down div-inv
2×frac-2neg associate-*r/ clear-num un-div-inv *-commutative inv-pow
Counts
4 → 139
Calls
4 calls:
17.0ms
(* (+ (* (+ y a) y) b) y)
27.0ms
(/ 1 (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))
67.0ms
(/ 1 (* (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (/ 1 (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))))
101.0ms
(* (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (/ 1 (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))

series1.1s

Counts
4 → 12
Calls
4 calls:
39.0ms
(* (+ (* (+ y a) y) b) y)
119.0ms
(/ 1 (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))
426.0ms
(/ 1 (* (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (/ 1 (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))))
468.0ms
(* (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (/ 1 (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))

simplify81.0ms

Algorithm
egg-herbie
Counts
151 → 151
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
05832435
129042077
250012038

prune473.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 27.3b

regimes612.0ms

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

sample1.5s

Algorithm
intervals
Results
1.2s8244×body80valid