Details

sample67.0ms

Algorithm

intervals

Results

12.0ms

374×

body

valid

simplify5.5s

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	126	9
5	173	9
6	315	9
7	783	9
8	2564	9
done	5001	9

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite166.0ms

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`
3×	`expm1-log1p-u` `log1p-expm1-u`
2×	`pow2` `pow-sqr` `*-commutative`
1×	`sub-neg` `flip3--` `fma-neg` `diff-log` `prod-diff` `pow3` `flip--` `unswap-sqr`

Counts

3 → 69

Calls

3 calls:

21.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
40.0ms	(* (* x x) x)
98.0ms	(* 0.12900613773279798 (* (* x x) x))

series282.0ms

Counts

3 → 9

Calls

3 calls:

142.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
63.0ms	(* (* x x) x)
77.0ms	(* 0.12900613773279798 (* (* x x) x))

simplify4.5s

Counts

78 → 78

Iterations

Useful iterations: 3 (1.6s)

Iter	Nodes	Cost
0	91	784
1	219	568
2	779	487
3	3766	485
done	5000	485

prune230.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize6.0ms

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))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
10×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
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:

14.0ms	(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
37.0ms	(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
20.0ms	(* 0.12900613773279798 (* x x))

series294.0ms

Counts

3 → 9

Calls

3 calls:

103.0ms	(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
136.0ms	(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
55.0ms	(* 0.12900613773279798 (* x x))

simplify2.4s

Counts

82 → 82

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	109	964
1	235	926
2	671	807
3	2588	783
done	5000	723

prune212.0ms

Pruning

6 alts after pruning (4 fresh and 2 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))

rewrite29.0ms

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:

9.0ms	(- (* x 0.954929658551372) (* 0.12900613773279798 (pow x 3)))
18.0ms	(* 0.12900613773279798 (pow x 3))

series198.0ms

Counts

2 → 6

Calls

2 calls:

159.0ms	(- (* x 0.954929658551372) (* 0.12900613773279798 (pow x 3)))
39.0ms	(* 0.12900613773279798 (pow x 3))

simplify2.9s

Counts

55 → 55

Iterations

Useful iterations: 3 (730.0ms)

Iter	Nodes	Cost
0	86	541
1	200	488
2	619	453
3	3255	451
done	5001	451

prune142.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

14×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`add-log-exp`
2×	`add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `log1p-expm1-u`
1×	`sub-neg` `flip3--` `fma-neg` `diff-log` `associate-r` `associate-l` `prod-diff` `*-commutative` `flip--`

Counts

2 → 40

Calls

2 calls:

14.0ms	(- (* x 0.954929658551372) (* (* 0.12900613773279798 x) (* x x)))
29.0ms	(* (* 0.12900613773279798 x) (* x x))

series180.0ms

Counts

2 → 6

Calls

2 calls:

127.0ms	(- (* x 0.954929658551372) (* (* 0.12900613773279798 x) (* x x)))
53.0ms	(* (* 0.12900613773279798 x) (* x x))

simplify3.6s

Counts

46 → 46

Iterations

Useful iterations: done (3.6s)

Iter	Nodes	Cost
0	73	599
1	192	457
2	762	392
3	3564	386
done	5000	379

prune117.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes32.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	11	11
done	11	11

end0.0ms

sample866.0ms

Algorithm

intervals

Results

616.0ms

12090×

body

valid