Details

sample133.0ms

Algorithm

intervals

Results

21.0ms

375×

body

valid

simplify2.8s

Counts

1 → 1

Iterations

Useful iterations: 2 (21.0ms)

Iter	Nodes	Cost
0	8	203
1	16	203
2	40	163
3	91	163
4	161	163
5	258	163
6	508	163
7	1338	163
done	5001	163

prune20.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

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))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
10×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
9×	`prod-diff`
6×	`associate-l`
5×	`distribute-rgt-in` `distribute-lft-in` `add-log-exp`
4×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`expm1-log1p-u` `sub-neg` `fma-neg` `log1p-expm1-u`
2×	`flip3--` `associate-r/` `-commutative` `flip--` `unswap-sqr`
1×	`diff-log`

Counts

3 → 73

Calls

3 calls:

7.0ms	(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
35.0ms	(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
18.0ms	(* 0.12900613773279798 (* x x))

series266.0ms

Counts

3 → 9

Calls

3 calls:

84.0ms	(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
139.0ms	(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
42.0ms	(* 0.12900613773279798 (* x x))

simplify2.3s

Counts

82 → 82

Iterations

Useful iterations: 2 (590.0ms)

Iter	Nodes	Cost
0	109	19798
1	309	17471
2	2076	16653
done	5000	16653

prune359.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

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)

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
10×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
9×	`prod-diff`
6×	`associate-r`
5×	`distribute-rgt-in` `distribute-lft-in` `add-log-exp`
4×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`expm1-log1p-u` `sub-neg` `fma-neg` `log1p-expm1-u`
2×	`flip3--` `associate-r/` `-commutative` `flip--`
1×	`diff-log` `unswap-sqr`

Counts

3 → 72

Calls

3 calls:

9.0ms	(- 0.954929658551372 (* (* 0.12900613773279798 x) x))
19.0ms	(* x (- 0.954929658551372 (* (* 0.12900613773279798 x) x)))
13.0ms	(* (* 0.12900613773279798 x) x)

series261.0ms

Counts

3 → 9

Calls

3 calls:

85.0ms	(- 0.954929658551372 (* (* 0.12900613773279798 x) x))
147.0ms	(* x (- 0.954929658551372 (* (* 0.12900613773279798 x) x)))
30.0ms	(* (* 0.12900613773279798 x) x)

simplify1.8s

Counts

81 → 81

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	108	19714
1	281	17346
2	1720	16528
done	5001	16488

prune290.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite98.0ms

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` `associate-r` `pow-prod-up`
5×	`*-un-lft-identity` `add-cube-cbrt` `add-log-exp`
3×	`expm1-log1p-u` `log1p-expm1-u`
2×	`pow2` `associate-l` `pow-sqr` `*-commutative`
1×	`sub-neg` `flip3--` `fma-neg` `diff-log` `prod-diff` `pow3` `flip--` `unswap-sqr`

Counts

3 → 69

Calls

3 calls:

6.0ms	(- (* 0.954929658551372 x) (* (* (* x x) x) 0.12900613773279798))
70.0ms	(* (* (* x x) x) 0.12900613773279798)
19.0ms	(* (* x x) x)

series251.0ms

Counts

3 → 9

Calls

3 calls:

156.0ms	(- (* 0.954929658551372 x) (* (* (* x x) x) 0.12900613773279798))
52.0ms	(* (* (* x x) x) 0.12900613773279798)
43.0ms	(* (* x x) x)

simplify2.2s

Counts

78 → 78

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	93	15519
1	257	12788
2	1848	11521
done	5000	11456

prune267.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize21.0ms

Local error

Found 2 expressions with local error:

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

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
12×	`associate-l`
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-r` `prod-exp`
2×	`expm1-log1p-u` `pow1` `log1p-expm1-u` `sqr-pow`
1×	`cube-mult` `pow-to-exp` `sub-neg` `flip3--` `fma-neg` `diff-log` `unpow3` `prod-diff` `pow-exp` `*-commutative` `cbrt-unprod` `flip--`

Counts

2 → 49

Calls

2 calls:

7.0ms	(- (* 0.954929658551372 x) (* (pow x 3) 0.12900613773279798))
18.0ms	(* (pow x 3) 0.12900613773279798)

series230.0ms

Counts

2 → 6

Calls

2 calls:

166.0ms	(- (* 0.954929658551372 x) (* (pow x 3) 0.12900613773279798))
64.0ms	(* (pow x 3) 0.12900613773279798)

simplify987.0ms

Counts

55 → 55

Iterations

Useful iterations: done (979.0ms)

Iter	Nodes	Cost
0	82	20302
1	196	12032
2	815	11697
done	5000	11043

prune266.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

regimes33.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	484
1	16	484
2	18	484
done	18	484

end0.0ms

sample976.0ms

Algorithm

intervals

Results

759.0ms

12085×

body

valid