Details

sample43.0ms

Algorithm

intervals

Results

22.0ms

256×

body

valid

simplify4.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
13	4505
12	1018
11	659
10	458
9	359
8	296
7	201
6	156
5	140
4	126
3	94
2	60
1	31
0	16

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 3 expressions with local error:

0.0b	(* 0.70711 (- (/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0)) x))
0.1b	(fma x (fma x 0.04481 0.99229) 1.0)
15.5b	(/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0))

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

88×	`add-sqr-sqrt`
83×	`*-un-lft-identity`
81×	`add-cube-cbrt`
78×	`prod-diff`
64×	`times-frac`
41×	`distribute-rgt-in` `distribute-lft-in`
7×	`add-cbrt-cube` `add-exp-log` `div-inv`
6×	`associate-r`
5×	`pow1`
3×	`expm1-log1p-u` `associate-/r` `associate-l` `log1p-expm1-u` `associate-/l` `add-log-exp`
2×	`sub-neg` `associate-*r/` `difference-of-squares`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3--` `div-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `flip--` `distribute-lft-out--` `unswap-sqr`

Counts

3 → 146

Calls

3 calls:

68.0ms	(* 0.70711 (- (/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0)) x))
0.0ms	(fma x (fma x 0.04481 0.99229) 1.0)
7.0ms	(/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0))

series191.0ms

Counts

3 → 9

Calls

3 calls:

73.0ms	(* 0.70711 (- (/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0)) x))
37.0ms	(fma x (fma x 0.04481 0.99229) 1.0)
80.0ms	(/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0))

simplify1.6s

Counts

155 → 155

Iterations

Iter	Nodes
done	5001
2	2047
1	618
0	284

prune581.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize76.0ms

Local error

Found 4 expressions with local error:

15.5b	(/ (* 0.70711 (- (* (/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0)) (/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0))) (* x x))) (+ (/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0)) x))
15.5b	(/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0))
15.5b	(/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0))
15.5b	(/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0))

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity`
31×	`times-frac`
30×	`add-sqr-sqrt` `add-cube-cbrt`
15×	`add-cbrt-cube` `add-exp-log`
13×	`associate-/r*`
10×	`associate-/l*`
5×	`cbrt-undiv` `div-exp`
4×	`expm1-log1p-u` `pow1` `clear-num` `frac-2neg` `log1p-expm1-u` `div-inv` `add-log-exp`
2×	`associate-*r/` `associate-/r/` `distribute-lft-out` `associate-/l/`
1×	`flip3-+` `flip3--` `prod-exp` `cbrt-unprod` `flip-+` `flip--`

Counts

4 → 116

Calls

4 calls:

66.0ms	(/ (* 0.70711 (- (* (/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0)) (/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0))) (* x x))) (+ (/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0)) x))
4.0ms	(/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0))
4.0ms	(/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0))
4.0ms	(/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0))

series485.0ms

Counts

4 → 12

Calls

4 calls:

201.0ms	(/ (* 0.70711 (- (* (/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0)) (/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0))) (* x x))) (+ (/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0)) x))
91.0ms	(/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0))
99.0ms	(/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0))
93.0ms	(/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0))

simplify2.3s

Counts

128 → 128

Iterations

Iter	Nodes
done	5001
2	1880
1	396
0	155

prune918.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(- 1.6316775383 (* x 2.1348562673797074))
0.1b	(fma 1.343622873166987 (* x x) (- 1.6316775383 (* x 2.1348562673797074)))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt` `add-log-exp`
3×	`fma-neg` `prod-diff`
2×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `log1p-expm1-u`
1×	`sub-neg` `flip3--` `diff-log` `fma-udef` `flip--`

Counts

2 → 30

Calls

2 calls:

5.0ms	(- 1.6316775383 (* x 2.1348562673797074))
0.0ms	(fma 1.343622873166987 (* x x) (- 1.6316775383 (* x 2.1348562673797074)))

series89.0ms

Counts

2 → 6

Calls

2 calls:

60.0ms	(- 1.6316775383 (* x 2.1348562673797074))
29.0ms	(fma 1.343622873166987 (* x x) (- 1.6316775383 (* x 2.1348562673797074)))

simplify3.0s

Counts

36 → 36

Iterations

Iter	Nodes
done	5000
3	4834
2	577
1	130
0	59

prune193.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes37.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	14
1	14
0	13

end0.0ms

sample938.0ms

Algorithm

intervals

Results

783.0ms

8000×

body

valid