Details

sample126.0ms

Algorithm

intervals

Results

11.0ms

374×

body

valid

simplify8.7s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
9	3204
8	1317
7	597
6	205
5	147
4	122
3	86
2	39
1	16
0	8

prune23.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize38.0ms

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)))
0.1b	(* (* 0.12900613773279798 x) x)

rewrite112.0ms

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` `insert-posit16` `log1p-expm1-u`
2×	`flip3--` `associate-r/` `-commutative` `flip--`
1×	`diff-log` `unswap-sqr`

Counts

3 → 75

Calls

3 calls:

17.0ms	(- 0.954929658551372 (* (* 0.12900613773279798 x) x))
41.0ms	(* x (- 0.954929658551372 (* (* 0.12900613773279798 x) x)))
43.0ms	(* (* 0.12900613773279798 x) x)

series374.0ms

Counts

3 → 9

Calls

3 calls:

130.0ms	(- 0.954929658551372 (* (* 0.12900613773279798 x) x))
175.0ms	(* x (- 0.954929658551372 (* (* 0.12900613773279798 x) x)))
69.0ms	(* (* 0.12900613773279798 x) x)

simplify2.6s

Counts

84 → 84

Iterations

Iter	Nodes
done	5001
2	941
1	280
0	111

prune721.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 3 expressions with local error:

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

rewrite92.0ms

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-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` `insert-posit16` `log1p-expm1-u`
2×	`flip3--` `associate-r/` `-commutative` `flip--` `unswap-sqr`
1×	`diff-log`

Counts

3 → 76

Calls

3 calls:

12.0ms	(- 0.954929658551372 (* (* x x) 0.12900613773279798))
40.0ms	(* x (- 0.954929658551372 (* (* x x) 0.12900613773279798)))
36.0ms	(* (* x x) 0.12900613773279798)

series312.0ms

Counts

3 → 9

Calls

3 calls:

103.0ms	(- 0.954929658551372 (* (* x x) 0.12900613773279798))
171.0ms	(* x (- 0.954929658551372 (* (* x x) 0.12900613773279798)))
38.0ms	(* (* x x) 0.12900613773279798)

simplify8.5s

Counts

85 → 85

Iterations

Iter	Nodes
done	5000
3	4388
2	977
1	292
0	114

prune661.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize67.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (- 0.954929658551372 (* (* 0.12900613773279798 x) x)))
0.1b	(* x (* 0.12900613773279798 x))
0.1b	(* (* 0.12900613773279798 x) x)
35.2b	(fma (- x) (* 0.12900613773279798 x) (* x (* 0.12900613773279798 x)))

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1` `add-cbrt-cube` `add-exp-log`
12×	`add-sqr-sqrt`
10×	`*-un-lft-identity` `add-cube-cbrt`
7×	`associate-r` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`prod-diff`
5×	`distribute-rgt-in` `distribute-lft-in`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative`
2×	`sub-neg` `associate-*r/`
1×	`flip3--` `fma-udef` `flip--` `unswap-sqr`

Counts

4 → 86

Calls

4 calls:

31.0ms	(* x (- 0.954929658551372 (* (* 0.12900613773279798 x) x)))
21.0ms	(* x (* 0.12900613773279798 x))
39.0ms	(* (* 0.12900613773279798 x) x)
2.0ms	(fma (- x) (* 0.12900613773279798 x) (* x (* 0.12900613773279798 x)))

series351.0ms

Counts

4 → 12

Calls

4 calls:

153.0ms	(* x (- 0.954929658551372 (* (* 0.12900613773279798 x) x)))
39.0ms	(* x (* 0.12900613773279798 x))
47.0ms	(* (* 0.12900613773279798 x) x)
112.0ms	(fma (- x) (* 0.12900613773279798 x) (* x (* 0.12900613773279798 x)))

simplify3.3s

Counts

98 → 98

Iterations

Iter	Nodes
done	5001
2	1285
1	321
0	129

prune930.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (- 0.954929658551372 (* (* 0.12900613773279798 x) x)))
0.1b	(* (* 0.12900613773279798 x) x)
0.1b	(* (* 0.12900613773279798 x) x)
35.2b	(fma (- x) (* 0.12900613773279798 x) (* (* 0.12900613773279798 x) x))

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1` `add-cbrt-cube` `add-exp-log`
12×	`add-sqr-sqrt`
10×	`*-un-lft-identity` `add-cube-cbrt`
9×	`associate-r`
7×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`prod-diff`
5×	`distribute-rgt-in` `distribute-lft-in` `associate-l`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative`
2×	`sub-neg` `associate-*r/`
1×	`flip3--` `fma-udef` `flip--` `unswap-sqr`

Counts

4 → 86

Calls

4 calls:

37.0ms	(* x (- 0.954929658551372 (* (* 0.12900613773279798 x) x)))
25.0ms	(* (* 0.12900613773279798 x) x)
23.0ms	(* (* 0.12900613773279798 x) x)
1.0ms	(fma (- x) (* 0.12900613773279798 x) (* (* 0.12900613773279798 x) x))

series388.0ms

Counts

4 → 12

Calls

4 calls:

175.0ms	(* x (- 0.954929658551372 (* (* 0.12900613773279798 x) x)))
39.0ms	(* (* 0.12900613773279798 x) x)
53.0ms	(* (* 0.12900613773279798 x) x)
120.0ms	(fma (- x) (* 0.12900613773279798 x) (* (* 0.12900613773279798 x) x))

simplify2.6s

Counts

98 → 98

Iterations

Iter	Nodes
done	5001
2	921
1	267
0	113

prune846.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes186.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	9
1	9
0	7

end0.0ms

sample1.3s

Algorithm

intervals

Results

1.0s

12004×

body

valid