Details

sample136.0ms

Algorithm

intervals

Results

22.0ms

390×

body

valid

simplify2.7s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
7	1338
6	508
5	258
4	161
3	91
2	40
1	16
0	8

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 53

Calls

2 calls:

34.0ms	(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
29.0ms	(* 0.12900613773279798 (* x x))

series220.0ms

Counts

2 → 6

Calls

2 calls:

162.0ms	(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
59.0ms	(* 0.12900613773279798 (* x x))

simplify1.7s

Counts

59 → 59

Iterations

Iter	Nodes
done	5001
2	1863
1	278
0	99

prune306.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite47.0ms

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` `log1p-expm1-u` `add-log-exp`
1×	`flip3--` `flip--` `unswap-sqr`

Counts

2 → 52

Calls

2 calls:

23.0ms	(* x (- 0.954929658551372 (* (* 0.12900613773279798 x) x)))
22.0ms	(* (* 0.12900613773279798 x) x)

series188.0ms

Counts

2 → 6

Calls

2 calls:

148.0ms	(* x (- 0.954929658551372 (* (* 0.12900613773279798 x) x)))
40.0ms	(* (* 0.12900613773279798 x) x)

simplify1.4s

Counts

58 → 58

Iterations

Iter	Nodes
done	5001
2	1591
1	259
0	98

prune239.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 3 expressions with local error:

0.1b

(* x (- 0.954929658551372 (* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (* x x)))))

0.2b

(* (sqrt 0.12900613773279798) (* x x))

0.2b

(* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (* x x)))

rewrite130.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 83

Calls

3 calls:

14.0ms

(* x (- 0.954929658551372 (* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (* x x)))))

27.0ms

(* (sqrt 0.12900613773279798) (* x x))

87.0ms

(* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (* x x)))

series428.0ms

Counts

3 → 9

Calls

3 calls:

230.0ms

(* x (- 0.954929658551372 (* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (* x x)))))

72.0ms

(* (sqrt 0.12900613773279798) (* x x))

125.0ms

(* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (* x x)))

simplify2.1s

Counts

92 → 92

Iterations

Iter	Nodes
done	5000
2	2251
1	331
0	124

prune372.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (sqrt 0.12900613773279798) (* (sqrt (* (cbrt 0.12900613773279798) (cbrt 0.12900613773279798))) (* (sqrt (cbrt 0.12900613773279798)) (* x x))))
1.0b	(cbrt 0.12900613773279798)
1.0b	(cbrt 0.12900613773279798)
1.0b	(cbrt 0.12900613773279798)

rewrite214.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-cbrt-cube` `add-exp-log`
10×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`cbrt-prod` `add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
6×	`associate-l`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `sqrt-prod`
1×	`associate-r` `*-commutative`

Counts

4 → 68

Calls

4 calls:

208.0ms	(* (sqrt 0.12900613773279798) (* (sqrt (* (cbrt 0.12900613773279798) (cbrt 0.12900613773279798))) (* (sqrt (cbrt 0.12900613773279798)) (* x x))))
1.0ms	(cbrt 0.12900613773279798)
1.0ms	(cbrt 0.12900613773279798)
1.0ms	(cbrt 0.12900613773279798)

series237.0ms

Counts

4 → 6

Calls

4 calls:

237.0ms	(* (sqrt 0.12900613773279798) (* (sqrt (* (cbrt 0.12900613773279798) (cbrt 0.12900613773279798))) (* (sqrt (cbrt 0.12900613773279798)) (* x x))))
0.0ms	(cbrt 0.12900613773279798)
0.0ms	(cbrt 0.12900613773279798)
0.0ms	(cbrt 0.12900613773279798)

simplify1.4s

Counts

74 → 74

Iterations

Iter	Nodes
done	5000
2	1196
1	220
0	80

prune365.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes79.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	10
1	10
0	7

end0.0ms

sample860.0ms

Algorithm

intervals

Results

665.0ms

11910×

body

valid