Details

sample139.0ms

Algorithm

intervals

Results

26.0ms

387×

body

valid

simplify7.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
9	3205
8	831
7	341
6	197
5	139
4	116
3	78
2	37
1	15
0	8

prune41.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 3 expressions with local error:

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

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 54

Calls

3 calls:

11.0ms	(- 0.954929658551372 (* x (* 0.12900613773279798 x)))
41.0ms	(* x (- 0.954929658551372 (* x (* 0.12900613773279798 x))))
28.0ms	(* x (* 0.12900613773279798 x))

series352.0ms

Counts

3 → 9

Calls

3 calls:

109.0ms	(- 0.954929658551372 (* x (* 0.12900613773279798 x)))
182.0ms	(* x (- 0.954929658551372 (* x (* 0.12900613773279798 x))))
60.0ms	(* x (* 0.12900613773279798 x))

simplify6.8s

Counts

63 → 63

Iterations

Iter	Nodes
done	5004
3	3731
2	712
1	217
0	83

prune277.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 3 expressions with local error:

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

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 55

Calls

3 calls:

11.0ms	(- 0.954929658551372 (* (* x x) 0.12900613773279798))
38.0ms	(* x (- 0.954929658551372 (* (* x x) 0.12900613773279798)))
44.0ms	(* (* x x) 0.12900613773279798)

series395.0ms

Counts

3 → 9

Calls

3 calls:

111.0ms	(- 0.954929658551372 (* (* x x) 0.12900613773279798))
233.0ms	(* x (- 0.954929658551372 (* (* x x) 0.12900613773279798)))
51.0ms	(* (* x x) 0.12900613773279798)

simplify5.8s

Counts

64 → 64

Iterations

Iter	Nodes
done	5002
3	3666
2	763
1	243
0	87

prune334.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x x) 0.12900613773279798)
0.3b	(* (sqrt (* (* x x) 0.12900613773279798)) (sqrt (* (* x x) 0.12900613773279798)))
20.8b	(sqrt (* (* x x) 0.12900613773279798))
20.8b	(sqrt (* (* x x) 0.12900613773279798))

rewrite305.0ms

Algorithm

rewrite-expression-head

Rules

148×	`pow1`
80×	`pow-prod-down`
66×	`sqrt-pow1`
17×	`pow-prod-up`
14×	`pow1/2`
12×	`add-sqr-sqrt`
11×	`add-exp-log` `pow-sqr` `add-cbrt-cube`
9×	`add-cube-cbrt` `*-un-lft-identity`
7×	`associate-r`
6×	`sqrt-prod`
5×	`associate-l`
4×	`swap-sqr` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`*-commutative` `unswap-sqr`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt`

Counts

4 → 109

Calls

4 calls:

37.0ms	(* (* x x) 0.12900613773279798)
208.0ms	(* (sqrt (* (* x x) 0.12900613773279798)) (sqrt (* (* x x) 0.12900613773279798)))
24.0ms	(sqrt (* (* x x) 0.12900613773279798))
26.0ms	(sqrt (* (* x x) 0.12900613773279798))

series347.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(* (* x x) 0.12900613773279798)
154.0ms	(* (sqrt (* (* x x) 0.12900613773279798)) (sqrt (* (* x x) 0.12900613773279798)))
66.0ms	(sqrt (* (* x x) 0.12900613773279798))
75.0ms	(sqrt (* (* x x) 0.12900613773279798))

simplify4.4s

Counts

121 → 121

Iterations

Iter	Nodes
done	5004
3	2280
2	608
1	208
0	80

prune515.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
0.1b	(* (* x x) x)
0.7b	(* 0.12900613773279798 (* (* x x) x))

rewrite174.0ms

Algorithm

rewrite-expression-head

Rules

31×	`pow1`
17×	`add-exp-log` `add-cbrt-cube`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`add-sqr-sqrt` `pow-plus` `pow-prod-up`
5×	`add-cube-cbrt` `*-un-lft-identity` `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:

21.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
40.0ms	(* (* x x) x)
109.0ms	(* 0.12900613773279798 (* (* x x) x))

series412.0ms

Counts

3 → 9

Calls

3 calls:

273.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
57.0ms	(* (* x x) x)
81.0ms	(* 0.12900613773279798 (* (* x x) x))

simplify7.0s

Counts

70 → 70

Iterations

Iter	Nodes
done	5000
3	4315
2	831
1	234
0	80

prune253.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes115.0ms

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	10
1	10
0	7

end0.0ms

sample1.2s

Algorithm

intervals

Results

864.0ms

11927×

body

valid