Details

sample153.0ms

Algorithm

intervals

Results

23.0ms

374×

body

valid

simplify2.5s

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: 0.0b

localize20.0ms

Local error

Found 2 expressions with local error:

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

rewrite72.0ms

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:

27.0ms	(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
40.0ms	(* 0.12900613773279798 (* x x))

series251.0ms

Counts

2 → 6

Calls

2 calls:

189.0ms	(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
62.0ms	(* 0.12900613773279798 (* x x))

simplify1.5s

Counts

59 → 59

Iterations

Iter	Nodes
done	5001
2	1863
1	278
0	99

prune262.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

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))
0.1b	(* (* x x) x)

rewrite101.0ms

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` `log1p-expm1-u`
2×	`pow2` `pow-sqr` `*-commutative`
1×	`sub-neg` `flip3--` `fma-neg` `diff-log` `prod-diff` `pow3` `flip--` `unswap-sqr`

Counts

3 → 69

Calls

3 calls:

7.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
63.0ms	(* 0.12900613773279798 (* (* x x) x))
29.0ms	(* (* x x) x)

series286.0ms

Counts

3 → 9

Calls

3 calls:

168.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
53.0ms	(* 0.12900613773279798 (* (* x x) x))
65.0ms	(* (* x x) x)

simplify1.9s

Counts

78 → 78

Iterations

Iter	Nodes
done	5000
2	1744
1	274
0	91

prune296.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize26.0ms

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

0.3b

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

rewrite127.0ms

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:

28.0ms

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

65.0ms

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

29.0ms

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

series370.0ms

Counts

3 → 9

Calls

3 calls:

231.0ms

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

79.0ms

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

60.0ms

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

simplify1.9s

Counts

92 → 92

Iterations

Iter	Nodes
done	5000
2	2253
1	331
0	124

prune462.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (* 0.12900613773279798 (* (* x x) x))) (cbrt (* 0.12900613773279798 (* (* x x) x))))
30.0b	(cbrt (* 0.12900613773279798 (* (* x x) x)))
30.0b	(cbrt (* 0.12900613773279798 (* (* x x) x)))
30.0b	(cbrt (* 0.12900613773279798 (* (* x x) x)))

rewrite217.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`*-un-lft-identity` `add-cube-cbrt`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `swap-sqr` `associate-r` `associate-l` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 66

Calls

4 calls:

48.0ms	(* (cbrt (* 0.12900613773279798 (* (* x x) x))) (cbrt (* 0.12900613773279798 (* (* x x) x))))
59.0ms	(cbrt (* 0.12900613773279798 (* (* x x) x)))
44.0ms	(cbrt (* 0.12900613773279798 (* (* x x) x)))
63.0ms	(cbrt (* 0.12900613773279798 (* (* x x) x)))

series329.0ms

Counts

4 → 12

Calls

4 calls:

118.0ms	(* (cbrt (* 0.12900613773279798 (* (* x x) x))) (cbrt (* 0.12900613773279798 (* (* x x) x))))
77.0ms	(cbrt (* 0.12900613773279798 (* (* x x) x)))
72.0ms	(cbrt (* 0.12900613773279798 (* (* x x) x)))
61.0ms	(cbrt (* 0.12900613773279798 (* (* x x) x)))

simplify9.2s

Counts

78 → 78

Iterations

Iter	Nodes
done	5000
3	4882
2	591
1	135
0	58

prune409.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes97.0ms

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

sample905.0ms

Algorithm

intervals

Results

642.0ms

11969×

body

valid