Details

sample15.0ms

Algorithm

intervals

Results

8.0ms

362×

body

valid

simplify3.5s

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

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

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))

rewrite80.0ms

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:

9.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
19.0ms	(* (* x x) x)
50.0ms	(* 0.12900613773279798 (* (* x x) x))

series168.0ms

Counts

3 → 9

Calls

3 calls:

97.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
31.0ms	(* (* x x) x)
40.0ms	(* 0.12900613773279798 (* (* x x) x))

simplify2.4s

Counts

78 → 78

Iterations

Useful iterations: 3 (1.0s)

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

prune113.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite17.0ms

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` `unswap-sqr`
3×	`associate-l` `prod-exp`
2×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `sqr-pow`
1×	`cube-mult` `pow-to-exp` `unpow3` `pow-exp` `*-commutative` `cbrt-unprod` `fma-udef`

Counts

2 → 43

Calls

2 calls:

0.0ms	(fma 0.954929658551372 x (- (* 0.12900613773279798 (pow x 3))))
15.0ms	(* 0.12900613773279798 (pow x 3))

series131.0ms

Counts

2 → 6

Calls

2 calls:

96.0ms	(fma 0.954929658551372 x (- (* 0.12900613773279798 (pow x 3))))
36.0ms	(* 0.12900613773279798 (pow x 3))

simplify1.1s

Counts

49 → 49

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	69	425
1	139	392
2	394	354
3	1904	354
done	5000	354

prune94.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite14.0ms

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` `unswap-sqr`
3×	`associate-l` `prod-exp`
2×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `sqr-pow`
1×	`cube-mult` `pow-to-exp` `unpow3` `pow-exp` `*-commutative` `cbrt-unprod` `fma-udef`

Counts

2 → 43

Calls

2 calls:

0.0ms	(fma 0.954929658551372 x (- (* 0.12900613773279798 (pow x 3))))
13.0ms	(* 0.12900613773279798 (pow x 3))

series133.0ms

Counts

2 → 6

Calls

2 calls:

93.0ms	(fma 0.954929658551372 x (- (* 0.12900613773279798 (pow x 3))))
40.0ms	(* 0.12900613773279798 (pow x 3))

simplify1.1s

Counts

49 → 49

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	69	425
1	139	392
2	394	354
3	1904	354
done	5000	354

prune106.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 54

Calls

3 calls:

0.0ms	(fma 0.954929658551372 x (- (* (* 0.12900613773279798 (* x x)) x)))
50.0ms	(* (* 0.12900613773279798 (* x x)) x)
17.0ms	(* 0.12900613773279798 (* x x))

series163.0ms

Counts

3 → 9

Calls

3 calls:

101.0ms	(fma 0.954929658551372 x (- (* (* 0.12900613773279798 (* x x)) x)))
36.0ms	(* (* 0.12900613773279798 (* x x)) x)
26.0ms	(* 0.12900613773279798 (* x x))

simplify2.0s

Counts

63 → 63

Iterations

Useful iterations: 2 (100.0ms)

Iter	Nodes	Cost
0	76	610
1	168	511
2	614	431
3	2244	431
done	5000	431

prune107.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes21.0ms

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: 1 (1.0ms)

Iter	Nodes	Cost
0	10	11
1	17	9
2	19	9
done	19	9

end0.0ms

sample406.0ms

Algorithm

intervals

Results

243.0ms

11888×

body

valid