Details

Time bar (total: 3.7m)

sample63.0ms

Algorithm
intervals
Results
28.0ms269×body80valid

simplify2.7s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02633
14133
28833
326433
482433
5291633
done500133

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.1b

localize70.0ms

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
(* (+ (* (+ y a) y) b) y)
26.4b
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite503.0ms

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:
144.0ms
(* (+ (* (+ (* (+ y a) y) b) y) c) y)
98.0ms
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
65.0ms
(* (+ (* (+ y a) y) b) y)
192.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series763.0ms

Counts
4 → 12
Calls
4 calls:
108.0ms
(* (+ (* (+ (* (+ y a) y) b) y) c) y)
81.0ms
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
50.0ms
(* (+ (* (+ y a) y) b) y)
523.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify1.8s

Counts
103 → 103
Iterations

Useful iterations: 2 (522.0ms)

IterNodesCost
01952617
15262547
228662329
done50002329

prune817.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 26.2b

localize61.0ms

Local error

Found 4 expressions with local error:

19.9b
(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
19.9b
(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
19.9b
(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
26.4b
(/ (+ (* (+ (* (* (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y)) (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))) (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite679.0ms

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:
30.0ms
(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
20.0ms
(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
21.0ms
(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
607.0ms
(/ (+ (* (+ (* (* (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y)) (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))) (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series1.6s

Counts
4 → 12
Calls
4 calls:
265.0ms
(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
318.0ms
(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
302.0ms
(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
729.0ms
(/ (+ (* (+ (* (* (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y)) (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))) (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify777.0ms

Counts
76 → 76
Iterations

Useful iterations: done (771.0ms)

IterNodesCost
01673716
14083693
212872372
done50002179

prune631.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 26.2b

localize45.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
0.1b
(* (+ (* (+ y a) y) b) y)
0.4b
(/ 1 (/ (+ i (* (+ (* (+ (* (+ y a) y) b) y) c) y)) (+ t (* (+ 230661.510616 (* (+ (* (+ (* x y) z) y) 27464.7644705) y)) y))))
26.5b
(/ (+ i (* (+ (* (+ (* (+ y a) y) b) y) c) y)) (+ t (* (+ 230661.510616 (* (+ (* (+ (* x y) z) y) 27464.7644705) y)) y)))

rewrite294.0ms

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:
85.0ms
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
85.0ms
(* (+ (* (+ y a) y) b) y)
38.0ms
(/ 1 (/ (+ i (* (+ (* (+ (* (+ y a) y) b) y) c) y)) (+ t (* (+ 230661.510616 (* (+ (* (+ (* x y) z) y) 27464.7644705) y)) y))))
78.0ms
(/ (+ i (* (+ (* (+ (* (+ y a) y) b) y) c) y)) (+ t (* (+ 230661.510616 (* (+ (* (+ (* x y) z) y) 27464.7644705) y)) y)))

series1.7m

Counts
4 → 12
Calls
4 calls:
66.0ms
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
68.0ms
(* (+ (* (+ y a) y) b) y)
1.7m
(/ 1 (/ (+ i (* (+ (* (+ (* (+ y a) y) b) y) c) y)) (+ t (* (+ 230661.510616 (* (+ (* (+ (* x y) z) y) 27464.7644705) y)) y))))
772.0ms
(/ (+ i (* (+ (* (+ (* (+ y a) y) b) y) c) y)) (+ t (* (+ 230661.510616 (* (+ (* (+ (* x y) z) y) 27464.7644705) y)) y)))

simplify2.5s

Counts
167 → 167
Iterations

Useful iterations: 2 (901.0ms)

IterNodesCost
02757196
17486896
246816427
done50016427

prune1.0s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 26.2b

localize66.0ms

Local error

Found 4 expressions with local error:

16.6b
(cbrt (+ i (* (+ (* (+ (* (+ y a) y) b) y) c) y)))
16.6b
(cbrt (+ i (* (+ (* (+ (* (+ y a) y) b) y) c) y)))
16.6b
(cbrt (+ i (* (+ (* (+ (* (+ y a) y) b) y) c) y)))
21.7b
(/ (/ 1 (* (cbrt (+ i (* (+ (* (+ (* (+ y a) y) b) y) c) y))) (cbrt (+ i (* (+ (* (+ (* (+ y a) y) b) y) c) y))))) (/ (cbrt (+ i (* (+ (* (+ (* (+ y a) y) b) y) c) y))) (+ t (* (+ 230661.510616 (* (+ (* (+ (* x y) z) y) 27464.7644705) y)) y))))

rewrite159.0ms

Algorithm
rewrite-expression-head
Rules
723×times-frac
306×cbrt-div
265×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
233×associate-/r/
169×flip3-+ flip-+
153×cbrt-prod
100×frac-times
50×associate-*r/ associate-*l/
49×add-exp-log
42×div-inv
29×div-exp
24×associate-/r*
18×add-cbrt-cube
15×associate-/l*
13×cbrt-undiv
6×prod-exp
4×pow1 rec-exp 1-exp add-log-exp
3×pow1/3
2×cbrt-unprod
1×frac-2neg clear-num associate-/l/
Counts
4 → 470
Calls
4 calls:
4.0ms
(cbrt (+ i (* (+ (* (+ (* (+ y a) y) b) y) c) y)))
3.0ms
(cbrt (+ i (* (+ (* (+ (* (+ y a) y) b) y) c) y)))
3.0ms
(cbrt (+ i (* (+ (* (+ (* (+ y a) y) b) y) c) y)))
82.0ms
(/ (/ 1 (* (cbrt (+ i (* (+ (* (+ (* (+ y a) y) b) y) c) y))) (cbrt (+ i (* (+ (* (+ (* (+ y a) y) b) y) c) y))))) (/ (cbrt (+ i (* (+ (* (+ (* (+ y a) y) b) y) c) y))) (+ t (* (+ 230661.510616 (* (+ (* (+ (* x y) z) y) 27464.7644705) y)) y))))

series1.7m

Counts
4 → 12
Calls
4 calls:
1.3s
(cbrt (+ i (* (+ (* (+ (* (+ y a) y) b) y) c) y)))
1.3s
(cbrt (+ i (* (+ (* (+ (* (+ y a) y) b) y) c) y)))
1.2s
(cbrt (+ i (* (+ (* (+ (* (+ y a) y) b) y) c) y)))
1.6m
(/ (/ 1 (* (cbrt (+ i (* (+ (* (+ (* (+ y a) y) b) y) c) y))) (cbrt (+ i (* (+ (* (+ (* (+ y a) y) b) y) c) y))))) (/ (cbrt (+ i (* (+ (* (+ (* (+ y a) y) b) y) c) y))) (+ t (* (+ 230661.510616 (* (+ (* (+ (* x y) z) y) 27464.7644705) y)) y))))

simplify2.1s

Counts
482 → 482
Iterations

Useful iterations: done (2.0s)

IterNodesCost
078761436
1279458168
done500156386

prune3.5s

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 26.2b

regimes871.0ms

Accuracy

0% (1.1b remaining)

Error of 29.2b against oracle of 28.1b and baseline of 29.2b

bsearch0.0ms

simplify7.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02960
14560
done4560

end0.0ms

sample2.9s

Algorithm
intervals
Results
2.0s8229×body80valid