Details

sample42.0ms

Algorithm

intervals

Results

23.0ms

263×

body

valid

simplify2.8s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
7	4646
6	3199
5	1788
4	733
3	264
2	88
1	41
0	26

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.0b

localize64.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
0.1b	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
0.1b	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
28.0b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite532.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
18×	`*-un-lft-identity` `add-cube-cbrt`
12×	`add-cbrt-cube` `add-exp-log`
10×	`pow1`
9×	`times-frac` `associate-r` `associate-l`
6×	`associate-*l/`
5×	`flip3-+` `flip-+`
4×	`insert-posit16` `add-log-exp`
3×	`associate-/r` `pow-prod-down` `prod-exp` `-commutative` `cbrt-unprod` `associate-/l*` `unswap-sqr`
2×	`associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv`

Counts

4 → 95

Calls

4 calls:

106.0ms	(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
80.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
117.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
225.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series745.0ms

Counts

4 → 12

Calls

4 calls:

131.0ms	(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
57.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
78.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
479.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify2.0s

Counts

107 → 107

Iterations

Iter	Nodes
done	5003
2	1940
1	524
0	200

prune1.1s

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 27.4b

localize70.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)
28.0b	(/ (+ (* (+ (* (* (+ (* (+ (* x y) z) y) 27464.7644705) (* (cbrt y) (cbrt y))) (cbrt y)) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite604.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`cbrt-prod` `times-frac`
6×	`add-cbrt-cube` `add-exp-log`
4×	`pow1` `insert-posit16` `add-log-exp`
3×	`associate-/r` `pow1/3` `associate-/l`
2×	`flip3-+` `associate-/r/` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv`

Counts

4 → 68

Calls

4 calls:

2.0ms	(cbrt y)
2.0ms	(cbrt y)
2.0ms	(cbrt y)
596.0ms	(/ (+ (* (+ (* (* (+ (* (+ (* x y) z) y) 27464.7644705) (* (cbrt y) (cbrt y))) (cbrt y)) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series1.4s

Counts

4 → 12

Calls

4 calls:

272.0ms	(cbrt y)
253.0ms	(cbrt y)
281.0ms	(cbrt y)
612.0ms	(/ (+ (* (+ (* (* (+ (* (+ (* x y) z) y) 27464.7644705) (* (cbrt y) (cbrt y))) (cbrt y)) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify2.7s

Counts

80 → 80

Iterations

Iter	Nodes
done	5001
3	3813
2	830
1	269
0	115

prune888.0ms

Pruning

15 alts after pruning (13 fresh and 2 done)

Merged error: 27.4b

localize78.0ms

Local error

Found 4 expressions with local error:

16.2b	(cbrt (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y))
16.2b	(cbrt (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y))
16.2b	(cbrt (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y))
28.0b	(/ (+ (* (* (cbrt (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)) (cbrt (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y))) (cbrt (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y))) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite689.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
6×	`cbrt-div` `add-cbrt-cube` `associate-*l/` `add-exp-log`
5×	`flip3-+` `flip-+`
4×	`pow1` `insert-posit16` `add-log-exp`
3×	`cbrt-prod` `associate-/r` `pow1/3` `associate-/l`
2×	`associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv`

Counts

4 → 68

Calls

4 calls:

51.0ms	(cbrt (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y))
35.0ms	(cbrt (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y))
63.0ms	(cbrt (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y))
539.0ms	(/ (+ (* (* (cbrt (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)) (cbrt (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y))) (cbrt (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y))) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series1.5s

Counts

4 → 12

Calls

4 calls:

295.0ms	(cbrt (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y))
291.0ms	(cbrt (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y))
291.0ms	(cbrt (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y))
600.0ms	(/ (+ (* (* (cbrt (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)) (cbrt (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y))) (cbrt (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y))) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify3.0s

Counts

80 → 80

Iterations

Iter	Nodes
done	5000
3	3914
2	1074
1	389
0	159

prune967.0ms

Pruning

15 alts after pruning (12 fresh and 3 done)

Merged error: 27.4b

localize124.0ms

Local error

Found 4 expressions with local error:

23.2b	(cbrt (+ (* (+ (* (+ y a) y) b) y) c))
23.2b	(cbrt (+ (* (+ (* (+ y a) y) b) y) c))
23.2b	(cbrt (+ (* (+ (* (+ y a) y) b) y) c))
28.0b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (* (cbrt (+ (* (+ (* (+ y a) y) b) y) c)) (cbrt (+ (* (+ (* (+ y a) y) b) y) c))) (* (cbrt (+ (* (+ (* (+ y a) y) b) y) c)) y)) i))

rewrite728.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`cbrt-prod` `times-frac`
6×	`cbrt-div` `add-cbrt-cube` `add-exp-log`
5×	`flip3-+` `flip-+`
4×	`pow1` `insert-posit16` `add-log-exp`
3×	`associate-/r` `pow1/3` `associate-/l`
2×	`associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv`

Counts

4 → 74

Calls

4 calls:

17.0ms	(cbrt (+ (* (+ (* (+ y a) y) b) y) c))
17.0ms	(cbrt (+ (* (+ (* (+ y a) y) b) y) c))
22.0ms	(cbrt (+ (* (+ (* (+ y a) y) b) y) c))
671.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (* (cbrt (+ (* (+ (* (+ y a) y) b) y) c)) (cbrt (+ (* (+ (* (+ y a) y) b) y) c))) (* (cbrt (+ (* (+ (* (+ y a) y) b) y) c)) y)) i))

series1.2s

Counts

4 → 12

Calls

4 calls:

189.0ms	(cbrt (+ (* (+ (* (+ y a) y) b) y) c))
214.0ms	(cbrt (+ (* (+ (* (+ y a) y) b) y) c))
233.0ms	(cbrt (+ (* (+ (* (+ y a) y) b) y) c))
542.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (* (cbrt (+ (* (+ (* (+ y a) y) b) y) c)) (cbrt (+ (* (+ (* (+ y a) y) b) y) c))) (* (cbrt (+ (* (+ (* (+ y a) y) b) y) c)) y)) i))

simplify3.1s

Counts

86 → 86

Iterations

Iter	Nodes
done	5002
3	4129
2	999
1	313
0	129

prune903.0ms

Pruning

16 alts after pruning (13 fresh and 3 done)

Merged error: 27.3b

regimes1.8s

Accuracy

0% (0.7b remaining)

Error of 29.0b against oracle of 28.2b and baseline of 29.0b

bsearch0.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	41
1	41
0	26

end0.0ms

sample1.7s

Algorithm

intervals

Results

1.3s

8266×

body

valid