Details

sample132.0ms

Algorithm

intervals

Results

92.0ms

265×

body

valid

simplify1.3s

Counts

1 → 1

Iterations

Iter	Nodes
6	3197
5	1788
4	733
3	264
2	88
1	41
0	26

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.2b

localize67.0ms

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	(* (+ (* x y) z) y)
29.2b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite288.0ms

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:

89.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
41.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
21.0ms	(* (+ (* x y) z) y)
135.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series690.0ms

Counts

4 → 12

Calls

4 calls:

117.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
96.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
43.0ms	(* (+ (* x y) z) y)
434.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify8.2s

Counts

107 → 107

Iterations

Iter	Nodes
3	7975
2	1895
1	524
0	199

prune2.2s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 28.6b

localize97.0ms

Local error

Found 4 expressions with local error:

19.2b	(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
19.2b	(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
19.2b	(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
29.2b	(/ (+ (* (+ (* (* (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))

rewrite565.0ms

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:

16.0ms	(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
29.0ms	(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
32.0ms	(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
487.0ms	(/ (+ (* (+ (* (* (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))

series1.5s

Counts

4 → 12

Calls

4 calls:

277.0ms	(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
289.0ms	(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
288.0ms	(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
618.0ms	(/ (+ (* (+ (* (* (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))

simplify2.1s

Counts

80 → 80

Iterations

Iter	Nodes
3	4600
2	1150
1	409
0	169

prune2.1s

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 28.6b

localize66.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt y)
0.7b	(cbrt y)
0.7b	(cbrt y)
29.2b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (* (+ (* (+ (* (+ y a) y) b) y) c) (* (cbrt y) (cbrt y))) (cbrt y)) i))

rewrite382.0ms

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:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)
377.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (* (+ (* (+ (* (+ y a) y) b) y) c) (* (cbrt y) (cbrt y))) (cbrt y)) i))

series1.4s

Counts

4 → 12

Calls

4 calls:

231.0ms	(cbrt y)
293.0ms	(cbrt y)
247.0ms	(cbrt y)
609.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (* (+ (* (+ (* (+ y a) y) b) y) c) (* (cbrt y) (cbrt y))) (cbrt y)) i))

simplify2.1s

Counts

80 → 80

Iterations

Iter	Nodes
3	3975
2	878
1	269
0	115

prune1.8s

Pruning

15 alts after pruning (13 fresh and 2 done)

Merged error: 28.5b

localize54.0ms

Local error

Found 4 expressions with local error:

0.1b	(* y (+ (* y (+ z (* x y))) 27464.7644705))
0.1b	(* y (+ z (* x y)))
0.5b	(/ 1 (/ (+ i (* y (+ (* (+ (* (+ a y) y) b) y) c))) (+ t (* (+ (* y (+ (* y (+ z (* x y))) 27464.7644705)) 230661.510616) y))))
29.3b	(/ (+ i (* y (+ (* (+ (* (+ a y) y) b) y) c))) (+ t (* (+ (* y (+ (* y (+ z (* x y))) 27464.7644705)) 230661.510616) y)))

rewrite136.0ms

Algorithm

rewrite-expression-head

Rules

90×	`times-frac`
64×	`add-sqr-sqrt`
60×	`*-un-lft-identity` `add-cube-cbrt`
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-*r/` `insert-posit16` `add-log-exp`
2×	`distribute-rgt-in` `rec-exp` `clear-num` `frac-2neg` `distribute-lft-in` `1-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr` `associate-/l/`
1×	`pow-flip` `inv-pow`

Counts

4 → 163

Calls

4 calls:

47.0ms	(* y (+ (* y (+ z (* x y))) 27464.7644705))
12.0ms	(* y (+ z (* x y)))
19.0ms	(/ 1 (/ (+ i (* y (+ (* (+ (* (+ a y) y) b) y) c))) (+ t (* (+ (* y (+ (* y (+ z (* x y))) 27464.7644705)) 230661.510616) y))))
53.0ms	(/ (+ i (* y (+ (* (+ (* (+ a y) y) b) y) c))) (+ t (* (+ (* y (+ (* y (+ z (* x y))) 27464.7644705)) 230661.510616) y)))

series1.7m

Counts

4 → 12

Calls

4 calls:

57.0ms	(* y (+ (* y (+ z (* x y))) 27464.7644705))
40.0ms	(* y (+ z (* x y)))
1.7m	(/ 1 (/ (+ i (* y (+ (* (+ (* (+ a y) y) b) y) c))) (+ t (* (+ (* y (+ (* y (+ z (* x y))) 27464.7644705)) 230661.510616) y))))
840.0ms	(/ (+ i (* y (+ (* (+ (* (+ a y) y) b) y) c))) (+ t (* (+ (* y (+ (* y (+ z (* x y))) 27464.7644705)) 230661.510616) y)))

simplify1.4s

Counts

175 → 175

Iterations

Iter	Nodes
2	2620
1	771
0	284

prune3.2s

Pruning

16 alts after pruning (13 fresh and 3 done)

Merged error: 28.5b

regimes1.6s

Accuracy

0% (0.8b remaining)

Error of 28.9b against oracle of 28.1b and baseline of 28.9b

bsearch0.0ms

simplify6.0ms

Iterations

Iter	Nodes
2	45
1	45
0	29

end0.0ms

sample2.7s

Algorithm

intervals

Results

2.2s

8249×

body

valid