Details

sample135.0ms

Algorithm

intervals

Results

35.0ms

366×

body

valid

simplify1.6s

Counts

1 → 1

Iterations

Iter	Nodes
8	2218
7	715
6	284
5	149
4	102
3	78
2	37
1	15
0	8

prune21.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

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))))
0.1b	(* 0.12900613773279798 (* x x))

rewrite49.0ms

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:

10.0ms	(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
21.0ms	(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
16.0ms	(* 0.12900613773279798 (* x x))

series367.0ms

Counts

3 → 9

Calls

3 calls:

108.0ms	(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
191.0ms	(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
67.0ms	(* 0.12900613773279798 (* x x))

simplify1.1s

Counts

67 → 67

Iterations

Iter	Nodes
3	3093
2	666
1	222
0	88

prune527.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.1b	(* 0.12900613773279798 (* (* x x) x))
0.1b	(* (* x x) x)

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

30×	`pow1`
16×	`add-cbrt-cube` `add-exp-log`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`pow-plus` `pow-prod-up`
5×	`add-sqr-sqrt`
4×	`-un-lft-identity` `associate-r` `associate-l*` `add-cube-cbrt`
2×	`pow2` `pow-sqr` `*-commutative` `insert-posit16` `add-log-exp`
1×	`pow3` `unswap-sqr`

Counts

2 → 51

Calls

2 calls:

55.0ms	(* 0.12900613773279798 (* (* x x) x))
20.0ms	(* (* x x) x)

series89.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(* 0.12900613773279798 (* (* x x) x))
44.0ms	(* (* x x) x)

simplify3.4s

Counts

57 → 57

Iterations

Iter	Nodes
4	4397
3	1372
2	418
1	139
0	59

prune381.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 0.954929658551372 (* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (* x x))))
0.1b	(* x (- 0.954929658551372 (* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (* x x)))))
0.2b	(* (sqrt 0.12900613773279798) (* x x))
0.3b	(* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (* x x)))

rewrite125.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 87

Calls

4 calls:

10.0ms	(- 0.954929658551372 (* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (* x x))))
27.0ms	(* x (- 0.954929658551372 (* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (* x x)))))
31.0ms	(* (sqrt 0.12900613773279798) (* x x))
56.0ms	(* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (* x x)))

series561.0ms

Counts

4 → 12

Calls

4 calls:

161.0ms	(- 0.954929658551372 (* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (* x x))))
274.0ms	(* x (- 0.954929658551372 (* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (* x x)))))
50.0ms	(* (sqrt 0.12900613773279798) (* x x))
76.0ms	(* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (* x x)))

simplify2.0s

Counts

99 → 99

Iterations

Iter	Nodes
3	4378
2	863
1	267
0	112

prune758.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize37.0ms

Local error

Found 3 expressions with local error:

0.1b	(* (* x x) x)
0.2b	(* (sqrt 0.12900613773279798) (* (* x x) x))
0.2b	(* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (* (* x x) x)))

rewrite223.0ms

Algorithm

rewrite-expression-head

Rules

45×	`pow1`
31×	`add-cbrt-cube` `add-exp-log`
19×	`pow-prod-down` `prod-exp` `cbrt-unprod`
13×	`associate-l`
9×	`add-sqr-sqrt`
8×	`*-un-lft-identity` `add-cube-cbrt`
6×	`pow-plus` `pow-prod-up` `sqrt-prod`
5×	`associate-r`
3×	`*-commutative` `insert-posit16` `add-log-exp`
2×	`pow2` `pow-sqr`
1×	`pow3` `unswap-sqr`

Counts

3 → 82

Calls

3 calls:

15.0ms	(* (* x x) x)
50.0ms	(* (sqrt 0.12900613773279798) (* (* x x) x))
156.0ms	(* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (* (* x x) x)))

series277.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(* (* x x) x)
94.0ms	(* (sqrt 0.12900613773279798) (* (* x x) x))
136.0ms	(* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (* (* x x) x)))

simplify1.1s

Counts

91 → 91

Iterations

Iter	Nodes
3	3012
2	625
1	207
0	84

prune789.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes65.0ms

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	9
1	9
0	7

end0.0ms

sample1.6s

Algorithm

intervals

Results

1.4s

11925×

body

valid