Details

sample151.0ms

Algorithm

intervals

Results

38.0ms

371×

body

valid

simplify1.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	2001
8	1317
7	597
6	205
5	147
4	122
3	86
2	39
1	16
0	8

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 3 expressions with local error:

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

rewrite81.0ms

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:

8.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
21.0ms	(* (* x x) x)
49.0ms	(* 0.12900613773279798 (* (* x x) x))

series270.0ms

Counts

3 → 9

Calls

3 calls:

162.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
43.0ms	(* (* x x) x)
65.0ms	(* 0.12900613773279798 (* (* x x) x))

simplify730.0ms

Counts

81 → 81

Iterations

Iter	Nodes
done	2014
2	808
1	256
0	94

prune199.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize14.0ms

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))

rewrite33.0ms

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:

15.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))
16.0ms	(* 0.12900613773279798 (pow x 3))

series198.0ms

Counts

2 → 6

Calls

2 calls:

141.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))
57.0ms	(* 0.12900613773279798 (pow x 3))

simplify577.0ms

Counts

57 → 57

Iterations

Iter	Nodes
done	2000
2	653
1	213
0	86

prune219.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 54

Calls

2 calls:

13.0ms	(* x (- 0.954929658551372 (* (* 0.12900613773279798 x) x)))
25.0ms	(* (* 0.12900613773279798 x) x)

series193.0ms

Counts

2 → 6

Calls

2 calls:

143.0ms	(* x (- 0.954929658551372 (* (* 0.12900613773279798 x) x)))
50.0ms	(* (* 0.12900613773279798 x) x)

simplify695.0ms

Counts

60 → 60

Iterations

Iter	Nodes
done	2004
2	872
1	259
0	100

prune204.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize52.0ms

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))
35.4b	(fma (- x) (* 0.12900613773279798 x) (* x (* 0.12900613773279798 x)))

rewrite38.0ms

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:

6.0ms	(* x (fma 1 0.954929658551372 (- (* x (* 0.12900613773279798 x)))))
13.0ms	(* x (* 0.12900613773279798 x))
18.0ms	(* x (* 0.12900613773279798 x))
1.0ms	(fma (- x) (* 0.12900613773279798 x) (* x (* 0.12900613773279798 x)))

series346.0ms

Counts

4 → 12

Calls

4 calls:

164.0ms	(* x (fma 1 0.954929658551372 (- (* x (* 0.12900613773279798 x)))))
30.0ms	(* x (* 0.12900613773279798 x))
52.0ms	(* x (* 0.12900613773279798 x))
100.0ms	(fma (- x) (* 0.12900613773279798 x) (* x (* 0.12900613773279798 x)))

simplify601.0ms

Counts

88 → 88

Iterations

Iter	Nodes
done	2000
2	669
1	212
0	90

prune364.0ms

Pruning

5 alts after pruning (1 fresh and 4 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

simplify3.0ms

Iterations

Iter	Nodes
done	10
1	10
0	8

end0.0ms

sample1.3s

Algorithm

intervals

Results

1.0s

11885×

body

valid