Details

sample157.0ms

Algorithm

intervals

Results

37.0ms

355×

body

valid

simplify2.4s

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

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 3 expressions with local error:

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

rewrite139.0ms

Algorithm

rewrite-expression-head

Rules

31×	`pow1`
17×	`add-cbrt-cube` `add-exp-log`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`add-sqr-sqrt` `pow-plus` `pow-prod-up`
5×	`*-un-lft-identity` `add-cube-cbrt` `add-log-exp`
4×	`associate-r` `associate-l`
3×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
2×	`pow2` `pow-sqr` `*-commutative`
1×	`sub-neg` `flip3--` `fma-neg` `diff-log` `prod-diff` `pow3` `flip--` `unswap-sqr`

Counts

3 → 72

Calls

3 calls:

16.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
83.0ms	(* 0.12900613773279798 (* (* x x) x))
36.0ms	(* (* x x) x)

series332.0ms

Counts

3 → 9

Calls

3 calls:

184.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
67.0ms	(* 0.12900613773279798 (* (* x x) x))
81.0ms	(* (* x x) x)

simplify1.2s

Counts

81 → 81

Iterations

Iter	Nodes
done	2003
3	2003
2	790
1	257
0	94

prune219.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))
0.1b	(* 0.12900613773279798 (pow x 3))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
12×	`associate-r`
7×	`add-exp-log`
6×	`*-un-lft-identity` `add-cube-cbrt`
4×	`unpow-prod-down` `add-cbrt-cube` `cube-prod` `add-log-exp` `unswap-sqr`
3×	`associate-l` `prod-exp`
2×	`expm1-log1p-u` `pow1` `insert-posit16` `log1p-expm1-u` `sqr-pow`
1×	`cube-mult` `pow-to-exp` `sub-neg` `flip3--` `fma-neg` `diff-log` `unpow3` `prod-diff` `pow-exp` `*-commutative` `cbrt-unprod` `flip--`

Counts

2 → 51

Calls

2 calls:

14.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))
15.0ms	(* 0.12900613773279798 (pow x 3))

series199.0ms

Counts

2 → 6

Calls

2 calls:

137.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))
61.0ms	(* 0.12900613773279798 (pow x 3))

simplify1.2s

Counts

57 → 57

Iterations

Iter	Nodes
done	2004
3	2004
2	653
1	213
0	86

prune220.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma 0.954929658551372 x (- (* (pow x 3) 0.12900613773279798)))
0.1b	(* (pow x 3) 0.12900613773279798)
0.1b	(* (pow x 3) 0.12900613773279798)
31.5b	(fma (- (pow x 3)) 0.12900613773279798 (* (pow x 3) 0.12900613773279798))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
24×	`associate-l`
14×	`add-exp-log`
12×	`*-un-lft-identity` `add-cube-cbrt`
8×	`unpow-prod-down` `add-cbrt-cube` `cube-prod` `unswap-sqr`
6×	`associate-r` `prod-exp`
4×	`expm1-log1p-u` `pow1` `insert-posit16` `log1p-expm1-u` `add-log-exp` `sqr-pow`
2×	`cube-mult` `pow-to-exp` `unpow3` `pow-exp` `*-commutative` `cbrt-unprod` `fma-udef`

Counts

4 → 90

Calls

4 calls:

0.0ms	(fma 0.954929658551372 x (- (* (pow x 3) 0.12900613773279798)))
17.0ms	(* (pow x 3) 0.12900613773279798)
16.0ms	(* (pow x 3) 0.12900613773279798)
0.0ms	(fma (- (pow x 3)) 0.12900613773279798 (* (pow x 3) 0.12900613773279798))

series422.0ms

Counts

4 → 12

Calls

4 calls:

184.0ms	(fma 0.954929658551372 x (- (* (pow x 3) 0.12900613773279798)))
49.0ms	(* (pow x 3) 0.12900613773279798)
50.0ms	(* (pow x 3) 0.12900613773279798)
138.0ms	(fma (- (pow x 3)) 0.12900613773279798 (* (pow x 3) 0.12900613773279798))

simplify1.7s

Counts

102 → 102

Iterations

Iter	Nodes
done	2005
4	2005
3	1424
2	437
1	155
0	83

prune632.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize22.0ms

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))

rewrite48.0ms

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)))
14.0ms	(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
28.0ms	(* 0.12900613773279798 (* x x))

series282.0ms

Counts

3 → 9

Calls

3 calls:

106.0ms	(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
145.0ms	(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
30.0ms	(* 0.12900613773279798 (* x x))

simplify1.3s

Counts

85 → 85

Iterations

Iter	Nodes
done	2006
3	2006
2	1226
1	308
0	112

prune371.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes60.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify7.0ms

Iterations

Iter	Nodes
done	18
2	18
1	16
0	11

end0.0ms

sample1.4s

Algorithm

intervals

Results

1.2s

12001×

body

valid