Details

sample99.0ms

Algorithm

intervals

Results

22.0ms

406×

body

valid

simplify1.4s

Counts

1 → 1

Iterations

Iter	Nodes
8	2220
7	715
6	284
5	149
4	102
3	78
2	37
1	15
0	8

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 3 expressions with local error:

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

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

10×	`pow1` `add-cbrt-cube` `add-exp-log`
9×	`add-sqr-sqrt`
6×	`-un-lft-identity` `associate-l*` `add-cube-cbrt`
5×	`add-log-exp`
4×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`sub-neg` `insert-posit16`
2×	`distribute-rgt-in` `distribute-lft-in` `flip3--` `associate-r/` `-commutative` `flip--` `unswap-sqr`
1×	`diff-log`

Counts

3 → 58

Calls

3 calls:

16.0ms	(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
12.0ms	(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
14.0ms	(* 0.12900613773279798 (* x x))

series330.0ms

Counts

3 → 9

Calls

3 calls:

95.0ms	(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
174.0ms	(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
60.0ms	(* 0.12900613773279798 (* x x))

simplify1.1s

Counts

67 → 67

Iterations

Iter	Nodes
3	2975
2	662
1	223
0	88

prune411.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 3 expressions with local error:

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

rewrite76.0ms

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`
3×	`insert-posit16`
2×	`pow2` `pow-sqr` `*-commutative`
1×	`sub-neg` `flip3--` `diff-log` `pow3` `flip--` `unswap-sqr`

Counts

3 → 64

Calls

3 calls:

8.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
23.0ms	(* (* x x) x)
44.0ms	(* 0.12900613773279798 (* (* x x) x))

series223.0ms

Counts

3 → 9

Calls

3 calls:

134.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
41.0ms	(* (* x x) x)
47.0ms	(* 0.12900613773279798 (* (* x x) x))

simplify1.3s

Counts

73 → 73

Iterations

Iter	Nodes
3	2945
2	691
1	233
0	83

prune592.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))
0.2b	(* 0.12900613773279798 (pow x 3))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
12×	`associate-r`
7×	`add-exp-log`
6×	`*-un-lft-identity` `add-cube-cbrt`
4×	`unpow-prod-down` `add-cbrt-cube` `cube-prod` `add-log-exp` `unswap-sqr`
3×	`associate-l` `prod-exp`
2×	`pow1` `insert-posit16` `sqr-pow`
1×	`cube-mult` `pow-to-exp` `sub-neg` `flip3--` `diff-log` `unpow3` `pow-exp` `*-commutative` `cbrt-unprod` `flip--`

Counts

2 → 45

Calls

2 calls:

7.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))
8.0ms	(* 0.12900613773279798 (pow x 3))

series210.0ms

Counts

2 → 6

Calls

2 calls:

153.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))
56.0ms	(* 0.12900613773279798 (pow x 3))

simplify5.6s

Counts

51 → 51

Iterations

Iter	Nodes
4	10688
3	1696
2	467
1	180
0	77

prune413.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 0.954929658551372 x) (* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (* (* x x) x))))
0.1b	(* (* x x) x)
0.2b	(* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (* (* x x) x)))
0.2b	(* (sqrt 0.12900613773279798) (* (* x x) x))

rewrite220.0ms

Algorithm

rewrite-expression-head

Rules

46×	`pow1`
32×	`add-cbrt-cube` `add-exp-log`
19×	`pow-prod-down` `prod-exp` `cbrt-unprod`
13×	`associate-l`
10×	`add-sqr-sqrt`
9×	`*-un-lft-identity` `add-cube-cbrt`
6×	`pow-plus` `pow-prod-up` `sqrt-prod` `add-log-exp`
5×	`associate-r`
4×	`insert-posit16`
3×	`*-commutative`
2×	`pow2` `pow-sqr`
1×	`sub-neg` `flip3--` `diff-log` `pow3` `flip--` `unswap-sqr`

Counts

4 → 95

Calls

4 calls:

16.0ms	(- (* 0.954929658551372 x) (* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (* (* x x) x))))
29.0ms	(* (* x x) x)
125.0ms	(* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (* (* x x) x)))
48.0ms	(* (sqrt 0.12900613773279798) (* (* x x) x))

series494.0ms

Counts

4 → 12

Calls

4 calls:

213.0ms	(- (* 0.954929658551372 x) (* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (* (* x x) x))))
50.0ms	(* (* x x) x)
121.0ms	(* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (* (* x x) x)))
110.0ms	(* (sqrt 0.12900613773279798) (* (* x x) x))

simplify1.3s

Counts

107 → 107

Iterations

Iter	Nodes
3	4153
2	827
1	267
0	108

prune876.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes89.0ms

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
2	10
1	10
0	8

end0.0ms

sample1.2s

Algorithm

intervals

Results

1.0s

11956×

body

valid