Details

sample83.0ms

Algorithm

intervals

Results

12.0ms

375×

body

valid

simplify2.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
7	1338
6	508
5	258
4	161
3	91
2	40
1	16
0	8

prune22.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize21.0ms

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))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

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

5.0ms	(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
21.0ms	(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
20.0ms	(* 0.12900613773279798 (* x x))

series311.0ms

Counts

3 → 9

Calls

3 calls:

109.0ms	(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
160.0ms	(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
41.0ms	(* 0.12900613773279798 (* x x))

simplify1.9s

Counts

82 → 82

Iterations

Iter	Nodes
done	5000
2	2076
1	309
0	109

prune370.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

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)

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 72

Calls

3 calls:

7.0ms	(- 0.954929658551372 (* (* 0.12900613773279798 x) x))
14.0ms	(* x (- 0.954929658551372 (* (* 0.12900613773279798 x) x)))
15.0ms	(* (* 0.12900613773279798 x) x)

series287.0ms

Counts

3 → 9

Calls

3 calls:

90.0ms	(- 0.954929658551372 (* (* 0.12900613773279798 x) x))
142.0ms	(* x (- 0.954929658551372 (* (* 0.12900613773279798 x) x)))
56.0ms	(* (* 0.12900613773279798 x) x)

simplify1.7s

Counts

81 → 81

Iterations

Iter	Nodes
done	5001
2	1720
1	281
0	108

prune311.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (fma 1 0.954929658551372 (- (* x (* 0.12900613773279798 x)))) x)
0.2b	(* x (* 0.12900613773279798 x))
0.2b	(* x (* 0.12900613773279798 x))
39.4b	(fma (- x) (* 0.12900613773279798 x) (* x (* 0.12900613773279798 x)))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 70

Calls

4 calls:

11.0ms	(* (fma 1 0.954929658551372 (- (* x (* 0.12900613773279798 x)))) x)
31.0ms	(* x (* 0.12900613773279798 x))
23.0ms	(* x (* 0.12900613773279798 x))
1.0ms	(fma (- x) (* 0.12900613773279798 x) (* x (* 0.12900613773279798 x)))

series308.0ms

Counts

4 → 12

Calls

4 calls:

156.0ms	(* (fma 1 0.954929658551372 (- (* x (* 0.12900613773279798 x)))) x)
36.0ms	(* x (* 0.12900613773279798 x))
27.0ms	(* x (* 0.12900613773279798 x))
88.0ms	(fma (- x) (* 0.12900613773279798 x) (* x (* 0.12900613773279798 x)))

simplify882.0ms

Counts

82 → 82

Iterations

Iter	Nodes
done	5000
2	902
1	179
0	82

prune463.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize25.0ms

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	(* (* x x) x)

rewrite124.0ms

Algorithm

rewrite-expression-head

Rules

31×	`pow1`
17×	`add-cbrt-cube` `add-exp-log`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`add-sqr-sqrt` `pow-plus` `pow-prod-up`
5×	`*-un-lft-identity` `add-cube-cbrt` `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:

13.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
80.0ms	(* 0.12900613773279798 (* (* x x) x))
28.0ms	(* (* x x) x)

series286.0ms

Counts

3 → 9

Calls

3 calls:

158.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
62.0ms	(* 0.12900613773279798 (* (* x x) x))
66.0ms	(* (* x x) x)

simplify1.7s

Counts

78 → 78

Iterations

Iter	Nodes
done	5000
2	1744
1	274
0	91

prune233.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes46.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	10
1	10
0	8

end0.0ms

sample1.3s

Algorithm

intervals

Results

1.0s

12085×

body

valid