Details

sample172.0ms

Algorithm

intervals

Results

46.0ms

377×

body

valid

simplify5.7s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
8	2476
7	805
6	325
5	173
4	110
3	81
2	38
1	15
0	8

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 3 expressions with local error:

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

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 58

Calls

3 calls:

10.0ms	(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
33.0ms	(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
29.0ms	(* 0.12900613773279798 (* x x))

series287.0ms

Counts

3 → 9

Calls

3 calls:

104.0ms	(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
147.0ms	(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
35.0ms	(* 0.12900613773279798 (* x x))

simplify4.1s

Counts

67 → 67

Iterations

Iter	Nodes
done	5002
3	4611
2	934
1	256
0	88

prune271.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 3 expressions with local error:

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

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 57

Calls

3 calls:

6.0ms	(- 0.954929658551372 (* (* 0.12900613773279798 x) x))
12.0ms	(* x (- 0.954929658551372 (* (* 0.12900613773279798 x) x)))
14.0ms	(* (* 0.12900613773279798 x) x)

series281.0ms

Counts

3 → 9

Calls

3 calls:

104.0ms	(- 0.954929658551372 (* (* 0.12900613773279798 x) x))
143.0ms	(* x (- 0.954929658551372 (* (* 0.12900613773279798 x) x)))
33.0ms	(* (* 0.12900613773279798 x) x)

simplify1.2s

Counts

66 → 66

Iterations

Iter	Nodes
done	5009
2	862
1	231
0	87

prune262.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
0.1b	(* (* x x) x)
0.3b	(* 0.12900613773279798 (* (* x x) x))

rewrite96.0ms

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×	`insert-posit16`
2×	`pow2` `pow-sqr` `*-commutative`
1×	`sub-neg` `flip3--` `diff-log` `pow3` `flip--` `unswap-sqr`

Counts

3 → 64

Calls

3 calls:

12.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
31.0ms	(* (* x x) x)
53.0ms	(* 0.12900613773279798 (* (* x x) x))

series229.0ms

Counts

3 → 9

Calls

3 calls:

141.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
36.0ms	(* (* x x) x)
51.0ms	(* 0.12900613773279798 (* (* x x) x))

simplify3.2s

Counts

73 → 73

Iterations

Iter	Nodes
done	5000
3	4602
2	845
1	236
0	83

prune179.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (* (* 0.12900613773279798 x) x)) (cbrt (* (* 0.12900613773279798 x) x)))
24.3b	(cbrt (* (* 0.12900613773279798 x) x))
24.3b	(cbrt (* (* 0.12900613773279798 x) x))
24.3b	(cbrt (* (* 0.12900613773279798 x) x))

rewrite66.0ms

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×	`add-cbrt-cube` `swap-sqr` `associate-r` `associate-l` `insert-posit16` `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 → 62

Calls

4 calls:

32.0ms	(* (cbrt (* (* 0.12900613773279798 x) x)) (cbrt (* (* 0.12900613773279798 x) x)))
13.0ms	(cbrt (* (* 0.12900613773279798 x) x))
11.0ms	(cbrt (* (* 0.12900613773279798 x) x))
9.0ms	(cbrt (* (* 0.12900613773279798 x) x))

series1.4s

Counts

4 → 12

Calls

4 calls:

365.0ms	(* (cbrt (* (* 0.12900613773279798 x) x)) (cbrt (* (* 0.12900613773279798 x) x)))
335.0ms	(cbrt (* (* 0.12900613773279798 x) x))
315.0ms	(cbrt (* (* 0.12900613773279798 x) x))
337.0ms	(cbrt (* (* 0.12900613773279798 x) x))

simplify2.5s

Counts

74 → 74

Iterations

Iter	Nodes
done	5004
4	2753
3	911
2	328
1	126
0	53

prune308.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes63.0ms

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	7

end0.0ms

sample1.4s

Algorithm

intervals

Results

1.2s

12031×

body

valid