Details

sample107.0ms

Algorithm

intervals

Results

21.0ms

379×

body

valid

simplify5.8s

Counts

1 → 1

Iterations

Useful iterations: 2 (20.0ms)

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

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 3 expressions with local error:

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

rewrite182.0ms

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:

20.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
101.0ms	(* 0.12900613773279798 (* (* x x) x))
50.0ms	(* (* x x) x)

series337.0ms

Counts

3 → 9

Calls

3 calls:

190.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
72.0ms	(* 0.12900613773279798 (* (* x x) x))
75.0ms	(* (* x x) x)

simplify3.9s

Counts

78 → 78

Iterations

Useful iterations: 3 (1.6s)

Iter	Nodes	Cost
0	91	784
1	218	568
2	778	487
3	3751	485
done	5000	485

prune183.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow (pow x 3) 1)))
0.1b	(* 0.12900613773279798 (pow (pow x 3) 1))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 58

Calls

2 calls:

9.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow (pow x 3) 1)))
48.0ms	(* 0.12900613773279798 (pow (pow x 3) 1))

series226.0ms

Counts

2 → 6

Calls

2 calls:

167.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow (pow x 3) 1)))
59.0ms	(* 0.12900613773279798 (pow (pow x 3) 1))

simplify973.0ms

Counts

64 → 64

Iterations

Useful iterations: done (970.0ms)

Iter	Nodes	Cost
0	111	771
1	248	558
2	818	516
done	5000	514

prune161.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite126.0ms

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` `add-log-exp`
4×	`associate-r` `associate-l`
3×	`expm1-log1p-u` `log1p-expm1-u`
2×	`*-commutative`
1×	`sub-neg` `flip3--` `distribute-rgt-out--` `fma-neg` `diff-log` `prod-diff` `flip--` `unswap-sqr`

Counts

3 → 61

Calls

3 calls:

17.0ms	(- (* 0.954929658551372 x) (* (* 0.12900613773279798 (* x x)) x))
77.0ms	(* (* 0.12900613773279798 (* x x)) x)
28.0ms	(* 0.12900613773279798 (* x x))

series261.0ms

Counts

3 → 9

Calls

3 calls:

155.0ms	(- (* 0.954929658551372 x) (* (* 0.12900613773279798 (* x x)) x))
59.0ms	(* (* 0.12900613773279798 (* x x)) x)
47.0ms	(* 0.12900613773279798 (* x x))

simplify4.4s

Counts

70 → 70

Iterations

Useful iterations: 3 (2.3s)

Iter	Nodes	Cost
0	93	761
1	230	614
2	901	538
3	4038	535
done	5000	535

prune198.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* 0.954929658551372 x) (* (pow (* (* 0.12900613773279798 x) x) 1) x))
0.1b	(* (pow (* (* 0.12900613773279798 x) x) 1) x)
0.2b	(* (* 0.12900613773279798 x) x)

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 64

Calls

3 calls:

15.0ms	(- (* 0.954929658551372 x) (* (pow (* (* 0.12900613773279798 x) x) 1) x))
42.0ms	(* (pow (* (* 0.12900613773279798 x) x) 1) x)
25.0ms	(* (* 0.12900613773279798 x) x)

series254.0ms

Counts

3 → 9

Calls

3 calls:

143.0ms	(- (* 0.954929658551372 x) (* (pow (* (* 0.12900613773279798 x) x) 1) x))
71.0ms	(* (pow (* (* 0.12900613773279798 x) x) 1) x)
40.0ms	(* (* 0.12900613773279798 x) x)

simplify5.7s

Counts

73 → 73

Iterations

Useful iterations: 3 (2.9s)

Iter	Nodes	Cost
0	109	900
1	266	691
2	1023	585
3	4763	581
done	5000	581

prune253.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes40.0ms

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: 1 (3.0ms)

Iter	Nodes	Cost
0	10	13
1	16	11
done	16	11

end0.0ms

sample944.0ms

Algorithm

intervals

Results

663.0ms

12060×

body

valid