Details

sample119.0ms

Algorithm

intervals

Results

25.0ms

367×

body

valid

simplify9.2s

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

prune46.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize50.0ms

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)

rewrite163.0ms

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:

11.0ms	(- 0.954929658551372 (* (* 0.12900613773279798 x) x))
65.0ms	(* x (- 0.954929658551372 (* (* 0.12900613773279798 x) x)))
81.0ms	(* (* 0.12900613773279798 x) x)

series348.0ms

Counts

3 → 9

Calls

3 calls:

101.0ms	(- 0.954929658551372 (* (* 0.12900613773279798 x) x))
193.0ms	(* x (- 0.954929658551372 (* (* 0.12900613773279798 x) x)))
53.0ms	(* (* 0.12900613773279798 x) x)

simplify3.1s

Counts

84 → 84

Iterations

Iter	Nodes
done	5001
2	941
1	280
0	111

prune737.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize45.0ms

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))

rewrite180.0ms

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

Counts

3 → 76

Calls

3 calls:

20.0ms	(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
68.0ms	(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
73.0ms	(* 0.12900613773279798 (* x x))

series353.0ms

Counts

3 → 9

Calls

3 calls:

86.0ms	(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
209.0ms	(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
57.0ms	(* 0.12900613773279798 (* x x))

simplify3.4s

Counts

85 → 85

Iterations

Iter	Nodes
done	5002
2	1187
1	307
0	112

prune776.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize136.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (fma 1 0.954929658551372 (- (* (* x x) 0.12900613773279798))))
0.1b	(* (* x x) 0.12900613773279798)
0.1b	(* (* x x) 0.12900613773279798)
39.0b	(fma (- (* x x)) 0.12900613773279798 (* (* x x) 0.12900613773279798))

rewrite141.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 78

Calls

4 calls:

16.0ms	(* x (fma 1 0.954929658551372 (- (* (* x x) 0.12900613773279798))))
69.0ms	(* (* x x) 0.12900613773279798)
51.0ms	(* (* x x) 0.12900613773279798)
3.0ms	(fma (- (* x x)) 0.12900613773279798 (* (* x x) 0.12900613773279798))

series364.0ms

Counts

4 → 12

Calls

4 calls:

172.0ms	(* x (fma 1 0.954929658551372 (- (* (* x x) 0.12900613773279798))))
34.0ms	(* (* x x) 0.12900613773279798)
42.0ms	(* (* x x) 0.12900613773279798)
116.0ms	(fma (- (* x x)) 0.12900613773279798 (* (* x x) 0.12900613773279798))

simplify8.2s

Counts

90 → 90

Iterations

Iter	Nodes
done	5006
3	3527
2	736
1	239
0	94

prune858.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize195.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (fma 1 0.954929658551372 (- (* x (* x 0.12900613773279798)))))
0.1b	(* (* x x) 0.12900613773279798)
0.1b	(* x (* x 0.12900613773279798))
39.0b	(fma (- (* x x)) 0.12900613773279798 (* (* x x) 0.12900613773279798))

rewrite142.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1` `add-cbrt-cube` `add-exp-log`
11×	`add-sqr-sqrt`
8×	`*-un-lft-identity` `add-cube-cbrt`
7×	`associate-r` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative` `fma-udef`
2×	`unswap-sqr`
1×	`distribute-rgt-in` `distribute-lft-in`

Counts

4 → 77

Calls

4 calls:

16.0ms	(* x (fma 1 0.954929658551372 (- (* x (* x 0.12900613773279798)))))
79.0ms	(* (* x x) 0.12900613773279798)
41.0ms	(* x (* x 0.12900613773279798))
3.0ms	(fma (- (* x x)) 0.12900613773279798 (* (* x x) 0.12900613773279798))

series404.0ms

Counts

4 → 12

Calls

4 calls:

202.0ms	(* x (fma 1 0.954929658551372 (- (* x (* x 0.12900613773279798)))))
49.0ms	(* (* x x) 0.12900613773279798)
34.0ms	(* x (* x 0.12900613773279798))
119.0ms	(fma (- (* x x)) 0.12900613773279798 (* (* x x) 0.12900613773279798))

simplify3.0s

Counts

89 → 89

Iterations

Iter	Nodes
done	5002
2	1005
1	300
0	116

prune873.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes148.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify19.0ms

Iterations

Iter	Nodes
done	27
2	27
1	25
0	13

end0.0ms

sample1.7s

Algorithm

intervals

Results

1.3s

12124×

body

valid