Details

sample286.0ms

Algorithm

intervals

Results

24.0ms

361×

body

valid

simplify1.8s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
7	1253
6	490
5	250
4	147
3	82
2	38
1	15
0	8

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
0.1b	(* 0.12900613773279798 (* (* x x) x))
0.1b	(* (* x x) x)

rewrite107.0ms

Algorithm

rewrite-expression-head

Rules

31×	`pow1`
17×	`add-cbrt-cube` `add-exp-log`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`add-sqr-sqrt` `pow-plus` `pow-prod-up`
5×	`*-un-lft-identity` `add-cube-cbrt` `add-log-exp`
4×	`associate-r` `associate-l`
2×	`pow2` `pow-sqr` `*-commutative`
1×	`sub-neg` `flip3--` `diff-log` `pow3` `flip--` `unswap-sqr`

Counts

3 → 61

Calls

3 calls:

13.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
48.0ms	(* 0.12900613773279798 (* (* x x) x))
40.0ms	(* (* x x) x)

series235.0ms

Counts

3 → 9

Calls

3 calls:

115.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
63.0ms	(* 0.12900613773279798 (* (* x x) x))
58.0ms	(* (* x x) x)

simplify1.3s

Counts

70 → 70

Iterations

Iter	Nodes
done	5001
2	1634
1	244
0	80

prune184.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow (pow x 3) 1)))
0.1b	(* 0.12900613773279798 (pow (pow x 3) 1))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

20×	`unpow-prod-down`
17×	`add-sqr-sqrt`
16×	`associate-r`
10×	`add-exp-log`
7×	`*-un-lft-identity` `add-cube-cbrt`
6×	`unswap-sqr`
5×	`prod-exp`
4×	`add-cbrt-cube` `cube-prod` `pow-exp` `add-log-exp` `sqr-pow`
3×	`pow1` `associate-l`
2×	`pow-to-exp`
1×	`cube-mult` `sub-neg` `flip3--` `diff-log` `unpow3` `pow-prod-down` `*-commutative` `cbrt-unprod` `flip--`

Counts

2 → 52

Calls

2 calls:

10.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow (pow x 3) 1)))
20.0ms	(* 0.12900613773279798 (pow (pow x 3) 1))

series247.0ms

Counts

2 → 6

Calls

2 calls:

174.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow (pow x 3) 1)))
73.0ms	(* 0.12900613773279798 (pow (pow x 3) 1))

simplify810.0ms

Counts

58 → 58

Iterations

Iter	Nodes
done	5001
2	1459
1	313
0	102

prune179.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* 0.954929658551372 x) (* (* (* 0.12900613773279798 x) x) (pow x 1)))
0.1b	(* (* (* 0.12900613773279798 x) x) (pow x 1))
0.2b	(* (* 0.12900613773279798 x) x)

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-exp-log`
21×	`prod-exp`
17×	`add-cbrt-cube`
14×	`pow1`
10×	`associate-r`
9×	`pow-prod-down` `cbrt-unprod`
6×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
5×	`add-log-exp`
3×	`pow-to-exp` `unpow-prod-down` `pow-exp`
2×	`associate-l` `*-commutative`
1×	`sub-neg` `flip3--` `diff-log` `flip--` `sqr-pow`

Counts

3 → 61

Calls

3 calls:

9.0ms	(- (* 0.954929658551372 x) (* (* (* 0.12900613773279798 x) x) (pow x 1)))
65.0ms	(* (* (* 0.12900613773279798 x) x) (pow x 1))
13.0ms	(* (* 0.12900613773279798 x) x)

series210.0ms

Counts

3 → 9

Calls

3 calls:

136.0ms	(- (* 0.954929658551372 x) (* (* (* 0.12900613773279798 x) x) (pow x 1)))
43.0ms	(* (* (* 0.12900613773279798 x) x) (pow x 1))
30.0ms	(* (* 0.12900613773279798 x) x)

simplify2.2s

Counts

70 → 70

Iterations

Iter	Nodes
done	5002
2	2787
1	328
0	101

prune197.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.1b	(* 0.12900613773279798 (* (pow x 6) 0.12900613773279798))
0.1b	(* 0.12900613773279798 (pow x 3))
0.2b	(* (* x x) (* 0.954929658551372 0.954929658551372))
27.6b	(/ (- (* (* x x) (* 0.954929658551372 0.954929658551372)) (* 0.12900613773279798 (* (pow x 6) 0.12900613773279798))) (+ (* x 0.954929658551372) (* 0.12900613773279798 (pow x 3))))

rewrite149.0ms

Algorithm

rewrite-expression-head

Rules

34×	`pow1`
33×	`add-exp-log`
25×	`add-cbrt-cube`
24×	`add-sqr-sqrt`
18×	`prod-exp`
17×	`*-un-lft-identity` `add-cube-cbrt`
15×	`pow-prod-down`
14×	`associate-r`
12×	`cbrt-unprod`
9×	`times-frac`
7×	`associate-l`
5×	`unswap-sqr`
4×	`unpow-prod-down` `pow-plus` `cube-prod` `pow-prod-up` `add-log-exp`
3×	`associate-/r` `-commutative` `associate-/l*`
2×	`pow2` `pow-to-exp` `pow-exp` `associate-/r/` `pow-sqr` `sqr-pow` `associate-/l/`
1×	`cube-mult` `cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `flip3--` `unpow3` `div-sub` `div-exp` `flip-+` `div-inv` `flip--`

Counts

4 → 111

Calls

4 calls:

15.0ms	(* 0.12900613773279798 (* (pow x 6) 0.12900613773279798))
10.0ms	(* 0.12900613773279798 (pow x 3))
42.0ms	(* (* x x) (* 0.954929658551372 0.954929658551372))
78.0ms	(/ (- (* (* x x) (* 0.954929658551372 0.954929658551372)) (* 0.12900613773279798 (* (pow x 6) 0.12900613773279798))) (+ (* x 0.954929658551372) (* 0.12900613773279798 (pow x 3))))

series577.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(* 0.12900613773279798 (* (pow x 6) 0.12900613773279798))
71.0ms	(* 0.12900613773279798 (pow x 3))
47.0ms	(* (* x x) (* 0.954929658551372 0.954929658551372))
364.0ms	(/ (- (* (* x x) (* 0.954929658551372 0.954929658551372)) (* 0.12900613773279798 (* (pow x 6) 0.12900613773279798))) (+ (* x 0.954929658551372) (* 0.12900613773279798 (pow x 3))))

simplify2.7s

Counts

123 → 123

Iterations

Iter	Nodes
done	5000
2	3486
1	552
0	186

prune529.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes94.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	14
1	14
0	10

end0.0ms

sample1.4s

Algorithm

intervals

Results

1.1s

11958×

body

valid