Details

sample83.0ms

Algorithm

intervals

Results

14.0ms

373×

body

valid

simplify2.4s

Counts

1 → 1

Iterations

Useful iterations: 2 (11.0ms)

Iter	Nodes	Cost
0	8	11
1	16	11
2	40	9
3	89	9
4	150	9
5	236	9
6	471	9
7	1245	9
done	5000	9

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 53

Calls

2 calls:

29.0ms	(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
20.0ms	(* 0.12900613773279798 (* x x))

series194.0ms

Counts

2 → 6

Calls

2 calls:

157.0ms	(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
37.0ms	(* 0.12900613773279798 (* x x))

simplify1.7s

Counts

59 → 59

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	99	685
1	278	673
2	1847	593
done	5001	571

prune153.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 52

Calls

2 calls:

39.0ms	(* x (- 0.954929658551372 (* (* 0.12900613773279798 x) x)))
28.0ms	(* (* 0.12900613773279798 x) x)

series207.0ms

Counts

2 → 6

Calls

2 calls:

163.0ms	(* x (- 0.954929658551372 (* (* 0.12900613773279798 x) x)))
44.0ms	(* (* 0.12900613773279798 x) x)

simplify1.5s

Counts

58 → 58

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	98	680
1	259	654
2	1611	578
done	5001	569

prune176.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize33.0ms

Local error

Found 3 expressions with local error:

0.1b	(* (- 0.954929658551372 (* (* x x) 0.12900613773279798)) x)
0.2b	(* (* x x) 0.12900613773279798)
39.8b	(fma x (- x) (* x x))

rewrite46.0ms

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*`
4×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`associate-l/` `-commutative` `unswap-sqr`
1×	`flip3--` `flip--` `fma-udef`

Counts

3 → 53

Calls

3 calls:

20.0ms	(* (- 0.954929658551372 (* (* x x) 0.12900613773279798)) x)
23.0ms	(* (* x x) 0.12900613773279798)
1.0ms	(fma x (- x) (* x x))

series291.0ms

Counts

3 → 9

Calls

3 calls:

159.0ms	(* (- 0.954929658551372 (* (* x x) 0.12900613773279798)) x)
48.0ms	(* (* x x) 0.12900613773279798)
84.0ms	(fma x (- x) (* x x))

simplify1.3s

Counts

62 → 62

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	92	589
1	223	565
2	1393	489
done	5002	487

prune215.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))
0.3b	(* 0.12900613773279798 (pow x 3))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
12×	`associate-r`
7×	`add-exp-log`
6×	`add-cube-cbrt` `*-un-lft-identity`
4×	`unpow-prod-down` `cube-prod` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
3×	`associate-l` `prod-exp`
2×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `sqr-pow`
1×	`cube-mult` `pow-to-exp` `sub-neg` `flip3--` `fma-neg` `diff-log` `unpow3` `prod-diff` `pow-exp` `*-commutative` `flip--` `cbrt-unprod`

Counts

2 → 49

Calls

2 calls:

23.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))
17.0ms	(* 0.12900613773279798 (pow x 3))

series217.0ms

Counts

2 → 6

Calls

2 calls:

148.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))
68.0ms	(* 0.12900613773279798 (pow x 3))

simplify837.0ms

Counts

55 → 55

Iterations

Useful iterations: done (834.0ms)

Iter	Nodes	Cost
0	84	541
1	217	488
2	909	455
done	5000	451

prune140.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes22.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	10	9
done	10	9

end0.0ms

sample1.0s

Algorithm

intervals

Results

715.0ms

12061×

body

valid