Details

Time bar (total: 13.6s)

sample42.0ms

Algorithm
intervals
Results
21.0ms264×body80valid

simplify3.4s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02633
14133
28833
317833
439733
580033
6119133
7129333
8162633
9273433
done500133

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.8b

localize23.0ms

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
(* (+ (* (+ (* (+ y a) y) b) y) c) y)
28.1b
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite113.0ms

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:
11.0ms
(* (+ (* x y) z) y)
20.0ms
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
30.0ms
(* (+ (* (+ (* (+ y a) y) b) y) c) y)
50.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series492.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(* (+ (* x y) z) y)
53.0ms
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
70.0ms
(* (+ (* (+ (* (+ y a) y) b) y) c) y)
331.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify742.0ms

Counts
103 → 103
Iterations

Useful iterations: done (738.0ms)

IterNodesCost
01942565
15042499
217442283
done50002265

prune492.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 27.8b

localize25.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
0.1b
(* (+ (* (+ (* (+ y a) y) b) y) c) y)
0.2b
(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
28.1b
(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

rewrite184.0ms

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:
20.0ms
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
30.0ms
(* (+ (* (+ (* (+ y a) y) b) y) c) y)
27.0ms
(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
103.0ms
(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

series516.0ms

Counts
4 → 12
Calls
4 calls:
56.0ms
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
69.0ms
(* (+ (* (+ (* (+ y a) y) b) y) c) y)
52.0ms
(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
339.0ms
(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

simplify851.0ms

Counts
127 → 127
Iterations

Useful iterations: 2 (306.0ms)

IterNodesCost
02083519
15583333
218882985
done50012985

prune520.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 27.8b

localize35.0ms

Local error

Found 4 expressions with local error:

20.6b
(cbrt (* (+ (* (+ (* (+ y a) y) b) y) c) y))
20.6b
(cbrt (* (+ (* (+ (* (+ y a) y) b) y) c) y))
20.6b
(cbrt (* (+ (* (+ (* (+ y a) y) b) y) c) y))
28.1b
(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (* (cbrt (* (+ (* (+ (* (+ y a) y) b) y) c) y)) (cbrt (* (+ (* (+ (* (+ y a) y) b) y) c) y))) (cbrt (* (+ (* (+ (* (+ y a) y) b) y) c) y))) i)))

rewrite404.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
15×associate-*r*
13×add-exp-log *-un-lft-identity
12×add-cube-cbrt
11×times-frac
add-cbrt-cube
associate-*l/
pow1 cbrt-div flip3-+ flip-+
prod-exp add-log-exp
cbrt-prod pow1/3 associate-*l* unswap-sqr
frac-times div-exp associate-/r/ cbrt-unprod
cbrt-undiv rec-exp 1-exp associate-*r/ pow-prod-down un-div-inv *-commutative div-inv
Counts
4 → 75
Calls
4 calls:
11.0ms
(cbrt (* (+ (* (+ (* (+ y a) y) b) y) c) y))
11.0ms
(cbrt (* (+ (* (+ (* (+ y a) y) b) y) c) y))
11.0ms
(cbrt (* (+ (* (+ (* (+ y a) y) b) y) c) y))
369.0ms
(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (* (cbrt (* (+ (* (+ (* (+ y a) y) b) y) c) y)) (cbrt (* (+ (* (+ (* (+ y a) y) b) y) c) y))) (cbrt (* (+ (* (+ (* (+ y a) y) b) y) c) y))) i)))

series1.1s

Counts
4 → 12
Calls
4 calls:
211.0ms
(cbrt (* (+ (* (+ (* (+ y a) y) b) y) c) y))
210.0ms
(cbrt (* (+ (* (+ (* (+ y a) y) b) y) c) y))
207.0ms
(cbrt (* (+ (* (+ (* (+ y a) y) b) y) c) y))
498.0ms
(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (* (cbrt (* (+ (* (+ (* (+ y a) y) b) y) c) y)) (cbrt (* (+ (* (+ (* (+ y a) y) b) y) c) y))) (cbrt (* (+ (* (+ (* (+ y a) y) b) y) c) y))) i)))

simplify575.0ms

Counts
87 → 87
Iterations

Useful iterations: done (571.0ms)

IterNodesCost
01684299
14464192
212942362
done50002315

prune506.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 27.8b

localize30.0ms

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
(* y (+ (* (+ (* (+ y a) y) b) y) c))
28.1b
(/ (+ t (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)) (+ i (* y (+ (* (+ (* (+ y a) y) b) y) c))))

rewrite76.0ms

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*
flip3-+ flip-+
associate-*l/ add-log-exp
pow-prod-down prod-exp associate-/r* *-commutative cbrt-unprod associate-/l* unswap-sqr
associate-*r/ associate-/r/ associate-/l/
cbrt-undiv distribute-rgt-in frac-2neg distribute-lft-in div-exp clear-num div-inv
Counts
4 → 93
Calls
4 calls:
11.0ms
(* (+ (* x y) z) y)
20.0ms
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
30.0ms
(* y (+ (* (+ (* (+ y a) y) b) y) c))
14.0ms
(/ (+ t (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)) (+ i (* y (+ (* (+ (* (+ y a) y) b) y) c))))

series602.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(* (+ (* x y) z) y)
53.0ms
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
70.0ms
(* y (+ (* (+ (* (+ y a) y) b) y) c))
442.0ms
(/ (+ t (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)) (+ i (* y (+ (* (+ (* (+ y a) y) b) y) c))))

simplify909.0ms

Counts
105 → 105
Iterations

Useful iterations: done (906.0ms)

IterNodesCost
01992593
15282513
217902297
done50012289

prune444.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 27.8b

regimes534.0ms

Accuracy

0% (1.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
02835
14533
done4533

end0.0ms

sample969.0ms

Algorithm
intervals
Results
591.0ms8238×body80valid