Details

sample155.0ms

Algorithm

intervals

Results

23.0ms

374×

body

valid

simplify3.7s

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

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

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)

rewrite85.0ms

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:

12.0ms	(- 0.954929658551372 (* (* 0.12900613773279798 x) x))
31.0ms	(* x (- 0.954929658551372 (* (* 0.12900613773279798 x) x)))
38.0ms	(* (* 0.12900613773279798 x) x)

series320.0ms

Counts

3 → 9

Calls

3 calls:

109.0ms	(- 0.954929658551372 (* (* 0.12900613773279798 x) x))
168.0ms	(* x (- 0.954929658551372 (* (* 0.12900613773279798 x) x)))
43.0ms	(* (* 0.12900613773279798 x) x)

simplify1.2s

Counts

84 → 84

Iterations

Iter	Nodes
done	5000
2	938
1	282
0	111

prune310.0ms

Pruning

5 alts after pruning (5 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))))
0.1b	(* 0.12900613773279798 (* x x))

rewrite62.0ms

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:

6.0ms	(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
20.0ms	(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
35.0ms	(* 0.12900613773279798 (* x x))

series255.0ms

Counts

3 → 9

Calls

3 calls:

88.0ms	(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
135.0ms	(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
31.0ms	(* 0.12900613773279798 (* x x))

simplify1.5s

Counts

85 → 85

Iterations

Iter	Nodes
done	5000
2	1226
1	308
0	112

prune296.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize53.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (fma 1 0.954929658551372 (- (* x (* 0.12900613773279798 x)))))
0.1b	(* x (* 0.12900613773279798 x))
0.1b	(* x (* 0.12900613773279798 x))
35.2b	(fma (- x) (* 0.12900613773279798 x) (* x (* 0.12900613773279798 x)))

rewrite67.0ms

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` `fma-udef`
1×	`distribute-rgt-in` `distribute-lft-in` `unswap-sqr`

Counts

4 → 76

Calls

4 calls:

7.0ms	(* x (fma 1 0.954929658551372 (- (* x (* 0.12900613773279798 x)))))
27.0ms	(* x (* 0.12900613773279798 x))
31.0ms	(* x (* 0.12900613773279798 x))
1.0ms	(fma (- x) (* 0.12900613773279798 x) (* x (* 0.12900613773279798 x)))

series326.0ms

Counts

4 → 12

Calls

4 calls:

169.0ms	(* x (fma 1 0.954929658551372 (- (* x (* 0.12900613773279798 x)))))
39.0ms	(* x (* 0.12900613773279798 x))
29.0ms	(* x (* 0.12900613773279798 x))
89.0ms	(fma (- x) (* 0.12900613773279798 x) (* x (* 0.12900613773279798 x)))

simplify3.2s

Counts

88 → 88

Iterations

Iter	Nodes
done	5001
3	3588
2	669
1	212
0	90

prune443.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (fma 1 0.954929658551372 (- (* x (* 0.12900613773279798 x)))) x)
0.1b	(* x (* 0.12900613773279798 x))
0.1b	(* x (* 0.12900613773279798 x))
35.2b	(fma (- x) (* 0.12900613773279798 x) (* x (* 0.12900613773279798 x)))

rewrite89.0ms

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`
1×	`fma-udef` `unswap-sqr`

Counts

4 → 74

Calls

4 calls:

14.0ms	(* (fma 1 0.954929658551372 (- (* x (* 0.12900613773279798 x)))) x)
32.0ms	(* x (* 0.12900613773279798 x))
32.0ms	(* x (* 0.12900613773279798 x))
8.0ms	(fma (- x) (* 0.12900613773279798 x) (* x (* 0.12900613773279798 x)))

series341.0ms

Counts

4 → 12

Calls

4 calls:

171.0ms	(* (fma 1 0.954929658551372 (- (* x (* 0.12900613773279798 x)))) x)
40.0ms	(* x (* 0.12900613773279798 x))
34.0ms	(* x (* 0.12900613773279798 x))
95.0ms	(fma (- x) (* 0.12900613773279798 x) (* x (* 0.12900613773279798 x)))

simplify3.3s

Counts

86 → 86

Iterations

Iter	Nodes
done	5001
3	3007
2	531
1	174
0	85

prune353.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes68.0ms

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	9
1	9
0	7

end0.0ms

sample1.4s

Algorithm

intervals

Results

1.2s

12004×

body

valid