Details

Time bar (total: 1.3m)

sample82.0ms

Algorithm
intervals
Results
40.0ms261×body80valid

simplify15.7s

Counts
1 → 1
Iterations
IterNodes
done5000
84736
73969
63148
51786
4735
3264
288
141
026

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.4b

localize105.0ms

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
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
27.6b
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite845.0ms

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
times-frac associate-*r* associate-*l*
associate-*l/
flip3-+ flip-+
add-log-exp
pow-prod-down prod-exp associate-/r* *-commutative cbrt-unprod associate-/l* unswap-sqr
associate-/r/ associate-/l/
cbrt-undiv frac-2neg div-exp clear-num div-inv
Counts
4 → 91
Calls
4 calls:
219.0ms
(* (+ (* (+ (* (+ y a) y) b) y) c) y)
109.0ms
(* (+ (* x y) z) y)
149.0ms
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
353.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series2.3s

Counts
4 → 12
Calls
4 calls:
389.0ms
(* (+ (* (+ (* (+ y a) y) b) y) c) y)
314.0ms
(* (+ (* x y) z) y)
101.0ms
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
1.5s
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify7.7s

Counts
103 → 103
Iterations
IterNodes
done5004
21894
1521
0194

prune3.4s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 27.4b

localize374.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ (+ (* z y) (* (* y y) x)) 27464.7644705) y)
2.8b
(+ (* z y) (* (* y y) x))
5.2b
(* (* y y) x)
27.6b
(/ (+ (* (+ (* (+ (+ (* z y) (* (* y y) x)) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite900.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
17×*-un-lft-identity
15×add-cube-cbrt
13×add-exp-log add-cbrt-cube
11×pow1
times-frac
associate-*r* add-log-exp
associate-*l*
flip3-+ pow-prod-down prod-exp cbrt-unprod flip-+
associate-/r* associate-/l*
associate-*l/ associate-/r/ *-commutative associate-/l/ unswap-sqr
cbrt-undiv +-commutative frac-2neg div-exp clear-num sum-log div-inv distribute-lft-out
Counts
4 → 82
Calls
4 calls:
181.0ms
(* (+ (+ (* z y) (* (* y y) x)) 27464.7644705) y)
19.0ms
(+ (* z y) (* (* y y) x))
97.0ms
(* (* y y) x)
595.0ms
(/ (+ (* (+ (* (+ (+ (* z y) (* (* y y) x)) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series1.7s

Counts
4 → 12
Calls
4 calls:
132.0ms
(* (+ (+ (* z y) (* (* y y) x)) 27464.7644705) y)
124.0ms
(+ (* z y) (* (* y y) x))
65.0ms
(* (* y y) x)
1.4s
(/ (+ (* (+ (* (+ (+ (* z y) (* (* y y) x)) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify4.7s

Counts
94 → 94
Iterations
IterNodes
done5002
21825
1491
0178

prune2.0s

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 27.4b

localize152.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
27.6b
(/ (+ (* (+ (* (* (+ (* (+ (* x y) z) y) 27464.7644705) (* (cbrt y) (cbrt y))) (cbrt y)) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite837.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
cbrt-prod times-frac
add-exp-log add-cbrt-cube
pow1 add-log-exp
pow1/3 associate-/r* associate-/l*
flip3-+ associate-/r/ flip-+ associate-/l/
cbrt-undiv frac-2neg div-exp clear-num div-inv
Counts
4 → 64
Calls
4 calls:
2.0ms
(cbrt y)
2.0ms
(cbrt y)
2.0ms
(cbrt y)
827.0ms
(/ (+ (* (+ (* (* (+ (* (+ (* x y) z) y) 27464.7644705) (* (cbrt y) (cbrt y))) (cbrt y)) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series3.3s

Counts
4 → 12
Calls
4 calls:
896.0ms
(cbrt y)
751.0ms
(cbrt y)
680.0ms
(cbrt y)
983.0ms
(/ (+ (* (+ (* (* (+ (* (+ (* x y) z) y) 27464.7644705) (* (cbrt y) (cbrt y))) (cbrt y)) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify7.4s

Counts
76 → 76
Iterations
IterNodes
done5004
33737
2831
1268
0113

prune1.9s

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 27.4b

localize126.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ (* x y) z) y)
0.1b
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
0.1b
(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
27.5b
(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

rewrite892.0ms

Algorithm
rewrite-expression-head
Rules
35×add-sqr-sqrt
25×*-un-lft-identity
24×add-cube-cbrt
21×add-exp-log associate-*r*
20×times-frac
15×add-cbrt-cube
11×pow1
associate-*l*
flip3-+ associate-*l/ prod-exp flip-+
unswap-sqr
div-exp associate-/r/ cbrt-unprod add-log-exp
pow-prod-down associate-/r* *-commutative associate-/l*
cbrt-undiv frac-times rec-exp 1-exp div-inv
pow-flip frac-2neg associate-*r/ clear-num un-div-inv inv-pow
Counts
4 → 115
Calls
4 calls:
53.0ms
(* (+ (* x y) z) y)
108.0ms
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
125.0ms
(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
599.0ms
(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

series1.5s

Counts
4 → 12
Calls
4 calls:
172.0ms
(* (+ (* x y) z) y)
110.0ms
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
248.0ms
(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
978.0ms
(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

simplify6.7s

Counts
127 → 127
Iterations
IterNodes
done5002
22113
1573
0205

prune2.9s

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 27.4b

regimes5.1s

Accuracy

0% (1.1b remaining)

Error of 29.0b against oracle of 27.9b and baseline of 29.0b

bsearch0.0ms

simplify24.0ms

Iterations
IterNodes
done45
145
029

end13.0ms

sample6.5s

Algorithm
intervals
Results
5.6s8247×body80valid