Details

sample72.0ms

Algorithm

intervals

Results

32.0ms

261×

body

valid

simplify2.8s

Counts: 1 → 1

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.9b

localize47.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
0.1b	(* (+ (* (+ y a) y) b) y)
0.1b	(* (+ (* x y) z) y)
31.1b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite247.0ms

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:

50.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
42.0ms	(* (+ (* (+ y a) y) b) y)
26.0ms	(* (+ (* x y) z) y)
125.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series545.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
49.0ms	(* (+ (* (+ y a) y) b) y)
39.0ms	(* (+ (* x y) z) y)
378.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify851.0ms

Counts: 103 → 103

prune648.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 30.8b

localize51.0ms

Local error

Found 4 expressions with local error:

22.6b	(cbrt (* (+ (* (+ (* x y) z) y) (/ 471841060772561.0 17179869184.0)) y))
22.6b	(cbrt (* (+ (* (+ (* x y) z) y) (/ 471841060772561.0 17179869184.0)) y))
22.6b	(cbrt (* (+ (* (+ (* x y) z) y) (/ 471841060772561.0 17179869184.0)) y))
31.1b	(/ (+ (* (+ (* (* (cbrt (* (+ (* (+ (* x y) z) y) (/ 471841060772561.0 17179869184.0)) y)) (cbrt (* (+ (* (+ (* x y) z) y) (/ 471841060772561.0 17179869184.0)) y))) (cbrt (* (+ (* (+ (* x y) z) y) (/ 471841060772561.0 17179869184.0)) y))) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite566.0ms

Algorithm

rewrite-expression-head

Rules

18×	`associate-*l/`
12×	`add-sqr-sqrt` `add-cube-cbrt` `cbrt-div` `*-un-lft-identity`
9×	`times-frac`
8×	`flip3-+` `flip-+`
6×	`add-exp-log` `frac-add` `add-cbrt-cube`
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 → 70

Calls

4 calls:

22.0ms	(cbrt (* (+ (* (+ (* x y) z) y) (/ 471841060772561.0 17179869184.0)) y))
26.0ms	(cbrt (* (+ (* (+ (* x y) z) y) (/ 471841060772561.0 17179869184.0)) y))
28.0ms	(cbrt (* (+ (* (+ (* x y) z) y) (/ 471841060772561.0 17179869184.0)) y))
486.0ms	(/ (+ (* (+ (* (* (cbrt (* (+ (* (+ (* x y) z) y) (/ 471841060772561.0 17179869184.0)) y)) (cbrt (* (+ (* (+ (* x y) z) y) (/ 471841060772561.0 17179869184.0)) y))) (cbrt (* (+ (* (+ (* x y) z) y) (/ 471841060772561.0 17179869184.0)) y))) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series1.2s

Counts

4 → 12

Calls

4 calls:

243.0ms	(cbrt (* (+ (* (+ (* x y) z) y) (/ 471841060772561.0 17179869184.0)) y))
206.0ms	(cbrt (* (+ (* (+ (* x y) z) y) (/ 471841060772561.0 17179869184.0)) y))
211.0ms	(cbrt (* (+ (* (+ (* x y) z) y) (/ 471841060772561.0 17179869184.0)) y))
536.0ms	(/ (+ (* (+ (* (* (cbrt (* (+ (* (+ (* x y) z) y) (/ 471841060772561.0 17179869184.0)) y)) (cbrt (* (+ (* (+ (* x y) z) y) (/ 471841060772561.0 17179869184.0)) y))) (cbrt (* (+ (* (+ (* x y) z) y) (/ 471841060772561.0 17179869184.0)) y))) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify793.0ms

Counts: 82 → 82

prune695.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 30.8b

localize37.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
0.1b	(* (+ (* x y) z) y)
0.4b	(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
30.7b	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

rewrite460.0ms

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`
9×	`associate-l`
6×	`flip3-+` `associate-*l/` `prod-exp` `flip-+`
5×	`unswap-sqr`
4×	`div-exp` `associate-/r/` `cbrt-unprod` `add-log-exp`
3×	`pow-prod-down` `associate-/r` `-commutative` `associate-/l*`
2×	`cbrt-undiv` `frac-times` `rec-exp` `1-exp` `div-inv`
1×	`pow-flip` `frac-2neg` `associate-*r/` `clear-num` `un-div-inv` `inv-pow`

Counts

4 → 115

Calls

4 calls:

69.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
31.0ms	(* (+ (* x y) z) y)
77.0ms	(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
277.0ms	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

series686.0ms

Counts

4 → 12

Calls

4 calls:

105.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
45.0ms	(* (+ (* x y) z) y)
85.0ms	(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
451.0ms	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

simplify1.1s

Counts: 127 → 127

prune910.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 30.8b

localize69.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ y a) y) b) y)
0.1b	(* (+ (* x y) z) y)
0.2b	(/ 1 (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) (/ 471841060772561.0 17179869184.0)) y) (/ 7925469156333415.0 34359738368.0)) y) t)))
31.1b	(/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) (/ 471841060772561.0 17179869184.0)) y) (/ 7925469156333415.0 34359738368.0)) y) t))

rewrite452.0ms

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:

59.0ms	(* (+ (* (+ y a) y) b) y)
38.0ms	(* (+ (* x y) z) y)
185.0ms	(/ 1 (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) (/ 471841060772561.0 17179869184.0)) y) (/ 7925469156333415.0 34359738368.0)) y) t)))
164.0ms	(/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) (/ 471841060772561.0 17179869184.0)) y) (/ 7925469156333415.0 34359738368.0)) y) t))

series1.5s

Counts

4 → 12

Calls

4 calls:

65.0ms	(* (+ (* (+ y a) y) b) y)
69.0ms	(* (+ (* x y) z) y)
642.0ms	(/ 1 (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) (/ 471841060772561.0 17179869184.0)) y) (/ 7925469156333415.0 34359738368.0)) y) t)))
714.0ms	(/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) (/ 471841060772561.0 17179869184.0)) y) (/ 7925469156333415.0 34359738368.0)) y) t))

simplify1.5s

Counts: 167 → 167

prune1.0s

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 30.8b

regimes1.1s

Accuracy

6.5% (1.0b remaining)

Error of 28.8b against oracle of 27.8b and baseline of 28.9b

bsearch0.0ms

simplify1.2s

end0.0ms

sample2.6s

Algorithm

intervals

Results

1.8s

8261×

body

valid