Details

sample135.0ms

Algorithm

intervals

Results

21.0ms

396×

body

valid

simplify1.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	2028
9	2028
8	1317
7	597
6	205
5	147
4	122
3	86
2	39
1	16
0	8

prune20.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

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)

rewrite69.0ms

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:

9.0ms	(- 0.954929658551372 (* (* 0.12900613773279798 x) x))
26.0ms	(* x (- 0.954929658551372 (* (* 0.12900613773279798 x) x)))
30.0ms	(* (* 0.12900613773279798 x) x)

series257.0ms

Counts

3 → 9

Calls

3 calls:

86.0ms	(- 0.954929658551372 (* (* 0.12900613773279798 x) x))
123.0ms	(* x (- 0.954929658551372 (* (* 0.12900613773279798 x) x)))
48.0ms	(* (* 0.12900613773279798 x) x)

simplify1.1s

Counts

84 → 84

Iterations

Iter	Nodes
done	2006
3	2006
2	938
1	282
0	111

prune641.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- 0.954929658551372 (* x (* 0.12900613773279798 x))) x)
0.2b	(* x (* 0.12900613773279798 x))
0.2b	(* x (* 0.12900613773279798 x))
36.1b	(fma (- x) (* 0.12900613773279798 x) (* x (* 0.12900613773279798 x)))

rewrite66.0ms

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` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative`
2×	`associate-*l/`
1×	`flip3--` `fma-udef` `flip--` `unswap-sqr`

Counts

4 → 76

Calls

4 calls:

26.0ms	(* (- 0.954929658551372 (* x (* 0.12900613773279798 x))) x)
21.0ms	(* x (* 0.12900613773279798 x))
17.0ms	(* x (* 0.12900613773279798 x))
0.0ms	(fma (- x) (* 0.12900613773279798 x) (* x (* 0.12900613773279798 x)))

series337.0ms

Counts

4 → 12

Calls

4 calls:

141.0ms	(* (- 0.954929658551372 (* x (* 0.12900613773279798 x))) x)
39.0ms	(* x (* 0.12900613773279798 x))
36.0ms	(* x (* 0.12900613773279798 x))
121.0ms	(fma (- x) (* 0.12900613773279798 x) (* x (* 0.12900613773279798 x)))

simplify1.2s

Counts

88 → 88

Iterations

Iter	Nodes
done	2001
3	2001
2	631
1	199
0	91

prune814.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize33.0ms

Local error

Found 3 expressions with local error:

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

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 65

Calls

3 calls:

11.0ms	(- 0.954929658551372 (* x (* 0.12900613773279798 x)))
27.0ms	(* (- 0.954929658551372 (* x (* 0.12900613773279798 x))) x)
31.0ms	(* x (* 0.12900613773279798 x))

series292.0ms

Counts

3 → 9

Calls

3 calls:

88.0ms	(- 0.954929658551372 (* x (* 0.12900613773279798 x)))
161.0ms	(* (- 0.954929658551372 (* x (* 0.12900613773279798 x))) x)
43.0ms	(* x (* 0.12900613773279798 x))

simplify1.1s

Counts

74 → 74

Iterations

Iter	Nodes
done	2002
3	2002
2	814
1	231
0	100

prune621.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.2b	(* x (* 0.12900613773279798 x))
0.3b	(* (sqrt (* x (* 0.12900613773279798 x))) (sqrt (* x (* 0.12900613773279798 x))))
22.8b	(sqrt (* x (* 0.12900613773279798 x)))
22.8b	(sqrt (* x (* 0.12900613773279798 x)))

rewrite133.0ms

Algorithm

rewrite-expression-head

Rules

148×	`pow1`
80×	`pow-prod-down`
66×	`sqrt-pow1`
17×	`pow-prod-up`
14×	`pow1/2`
11×	`add-sqr-sqrt` `add-cbrt-cube` `add-exp-log` `pow-sqr`
9×	`*-un-lft-identity` `add-cube-cbrt`
7×	`associate-l`
6×	`sqrt-prod`
5×	`associate-r`
4×	`expm1-log1p-u` `swap-sqr` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`*-commutative`
1×	`pow2` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `unswap-sqr`

Counts

4 → 120

Calls

4 calls:

21.0ms	(* x (* 0.12900613773279798 x))
87.0ms	(* (sqrt (* x (* 0.12900613773279798 x))) (sqrt (* x (* 0.12900613773279798 x))))
11.0ms	(sqrt (* x (* 0.12900613773279798 x)))
11.0ms	(sqrt (* x (* 0.12900613773279798 x)))

series263.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(* x (* 0.12900613773279798 x))
114.0ms	(* (sqrt (* x (* 0.12900613773279798 x))) (sqrt (* x (* 0.12900613773279798 x))))
51.0ms	(sqrt (* x (* 0.12900613773279798 x)))
48.0ms	(sqrt (* x (* 0.12900613773279798 x)))

simplify1.4s

Counts

132 → 132

Iterations

Iter	Nodes
done	2022
4	2022
3	1692
2	489
1	212
0	89

prune1.4s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes34.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	16
1	16
0	11

end0.0ms

sample1.3s

Algorithm

intervals

Results

1.1s

12003×

body

valid