Details

sample16.0ms

Algorithm

intervals

Results

8.0ms

372×

body

valid

simplify3.4s

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	8	11
1	16	11
2	40	9
3	89	9
4	126	9
5	173	9
6	315	9
7	783	9
8	2564	9
done	5001	9

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite37.0ms

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:

19.0ms	(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
16.0ms	(* 0.12900613773279798 (* x x))

series122.0ms

Counts

2 → 6

Calls

2 calls:

97.0ms	(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
26.0ms	(* 0.12900613773279798 (* x x))

simplify1.5s

Counts

59 → 59

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	99	685
1	215	657
2	605	571
3	2397	551
done	5000	515

prune89.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
12×	`associate-r`
7×	`add-exp-log`
6×	`add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
4×	`unpow-prod-down` `cube-prod` `add-cbrt-cube` `unswap-sqr`
3×	`associate-l` `prod-exp`
2×	`pow1` `expm1-log1p-u` `sum-log` `log1p-expm1-u` `sqr-pow`
1×	`+-commutative` `neg-sub0` `cube-mult` `pow-to-exp` `associate-+r-` `fma-def` `flip3-+` `unpow3` `unsub-neg` `neg-log` `pow-exp` `*-commutative` `cbrt-unprod` `flip-+`

Counts

2 → 51

Calls

2 calls:

9.0ms	(+ (* x 0.954929658551372) (- (* 0.12900613773279798 (pow x 3))))
13.0ms	(* 0.12900613773279798 (pow x 3))

series140.0ms

Counts

2 → 6

Calls

2 calls:

98.0ms	(+ (* x 0.954929658551372) (- (* 0.12900613773279798 (pow x 3))))
41.0ms	(* 0.12900613773279798 (pow x 3))

simplify3.2s

Counts

57 → 57

Iterations

Useful iterations: 3 (1.2s)

Iter	Nodes	Cost
0	87	541
1	223	475
2	811	433
3	4707	429
done	5000	429

prune107.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
3×	`associate-r` `associate-l` `fma-udef`
2×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
1×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 32

Calls

2 calls:

7.0ms	(* x (fma (* (- 0.12900613773279798) x) x 0.954929658551372))
0.0ms	(fma (* (- 0.12900613773279798) x) x 0.954929658551372)

series162.0ms

Counts

2 → 6

Calls

2 calls:

100.0ms	(* x (fma (* (- 0.12900613773279798) x) x 0.954929658551372))
62.0ms	(fma (* (- 0.12900613773279798) x) x 0.954929658551372)

simplify1.0s

Counts

38 → 38

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	52	424
1	103	419
2	256	367
3	963	367
done	5001	367

prune59.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* 0.12900613773279798 (* x x)) (pow (cbrt x) 3))
0.2b	(* 0.12900613773279798 (* x x))
0.6b	(cbrt x)
0.8b	(pow (cbrt x) 3)

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-exp-log`
21×	`prod-exp`
19×	`associate-r`
18×	`add-cbrt-cube`
17×	`add-sqr-sqrt`
16×	`add-cube-cbrt` `*-un-lft-identity`
15×	`cbrt-prod`
12×	`unpow-prod-down` `cube-prod`
10×	`pow1`
9×	`cbrt-unprod`
4×	`expm1-log1p-u` `pow-to-exp` `associate-l` `pow-exp` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `pow-prod-down`
2×	`cube-mult` `pow-pow` `pow1/3` `unpow3` `*-commutative` `sqr-pow`
1×	`rem-cube-cbrt` `unswap-sqr`

Counts

4 → 107

Calls

4 calls:

54.0ms	(* (* 0.12900613773279798 (* x x)) (pow (cbrt x) 3))
19.0ms	(* 0.12900613773279798 (* x x))
1.0ms	(cbrt x)
4.0ms	(pow (cbrt x) 3)

series499.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(* (* 0.12900613773279798 (* x x)) (pow (cbrt x) 3))
32.0ms	(* 0.12900613773279798 (* x x))
180.0ms	(cbrt x)
220.0ms	(pow (cbrt x) 3)

simplify2.9s

Counts

119 → 119

Iterations

Useful iterations: done (2.9s)

Iter	Nodes	Cost
0	124	1061
1	288	701
2	950	604
3	4011	582
done	5001	579

prune169.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes17.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	10
1	16	10
2	18	10
done	18	10

end0.0ms

sample407.0ms

Algorithm

intervals

Results

250.0ms

11928×

body

valid