Details

sample31.0ms

Algorithm

intervals

Results

16.0ms

361×

body

valid

simplify1.9s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
9	1285
8	444
7	215
6	145
5	126
4	121
3	82
2	35
1	13
0	7

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize8.0ms

Local error

Found 1 expressions with local error:

0.2b	(* (* x x) (- 3.0 (* x 2.0)))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 25

Calls

1 calls:

41.0ms

(* (* x x) (- 3.0 (* x 2.0)))

series107.0ms

Counts

1 → 3

Calls

1 calls:

107.0ms

(* (* x x) (- 3.0 (* x 2.0)))

simplify926.0ms

Counts

28 → 28

Iterations

Iter	Nodes
done	5000
2	1243
1	180
0	57

prune97.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b	(* 2.0 (pow x 3))
0.0b	(+ (* x (* x 3.0)) (- (* 2.0 (pow x 3))))
0.2b	(* x (* x 3.0))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`associate-r` `add-exp-log`
10×	`add-cbrt-cube`
8×	`pow1` `*-un-lft-identity` `add-cube-cbrt`
7×	`add-log-exp`
6×	`associate-l` `prod-exp`
4×	`unpow-prod-down` `cube-prod` `cbrt-unprod` `unswap-sqr`
3×	`pow-prod-down`
2×	`sum-log` `*-commutative` `sqr-pow`
1×	`neg-sub0` `cube-mult` `pow-to-exp` `+-commutative` `associate-+r-` `flip3-+` `unpow3` `unsub-neg` `neg-log` `pow-exp` `flip-+`

Counts

3 → 64

Calls

3 calls:

16.0ms	(* 2.0 (pow x 3))
14.0ms	(+ (* x (* x 3.0)) (- (* 2.0 (pow x 3))))
16.0ms	(* x (* x 3.0))

series246.0ms

Counts

3 → 9

Calls

3 calls:

50.0ms	(* 2.0 (pow x 3))
141.0ms	(+ (* x (* x 3.0)) (- (* 2.0 (pow x 3))))
55.0ms	(* x (* x 3.0))

simplify1.1s

Counts

73 → 73

Iterations

Iter	Nodes
done	5001
2	1732
1	303
0	105

prune281.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- 3.0 (* 2.0 x)) x)
0.2b	(* x (* (- 3.0 (* 2.0 x)) x))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-cbrt-cube` `add-exp-log`
7×	`add-sqr-sqrt`
6×	`associate-l`
5×	`*-un-lft-identity` `add-cube-cbrt`
4×	`associate-r` `pow-prod-down` `associate-*l/` `prod-exp` `cbrt-unprod`
2×	`flip3--` `associate-r/` `-commutative` `flip--` `add-log-exp`
1×	`unswap-sqr`

Counts

2 → 40

Calls

2 calls:

23.0ms	(* (- 3.0 (* 2.0 x)) x)
22.0ms	(* x (* (- 3.0 (* 2.0 x)) x))

series231.0ms

Counts

2 → 6

Calls

2 calls:

91.0ms	(* (- 3.0 (* 2.0 x)) x)
140.0ms	(* x (* (- 3.0 (* 2.0 x)) x))

simplify671.0ms

Counts

46 → 46

Iterations

Iter	Nodes
done	5000
2	1008
1	178
0	68

prune156.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize36.0ms

Local error

Found 3 expressions with local error:

0.1b	(* (* (- 3.0 (* x 2.0)) (+ 3.0 (* x 2.0))) x)
0.2b	(* x (* (* (- 3.0 (* x 2.0)) (+ 3.0 (* x 2.0))) x))
4.7b	(/ (* x (* (* (- 3.0 (* x 2.0)) (+ 3.0 (* x 2.0))) x)) (+ 3.0 (* 2.0 x)))

rewrite319.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-cbrt-cube` `add-exp-log`
30×	`associate-*l/`
22×	`associate-*r/`
17×	`pow1`
15×	`prod-exp` `cbrt-unprod`
12×	`frac-times`
10×	`flip3-+` `flip-+`
9×	`flip3--` `pow-prod-down` `flip--`
8×	`associate-/l/`
7×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`cbrt-undiv` `div-exp` `associate-r` `associate-l`
3×	`associate-/r*` `times-frac` `add-log-exp`
2×	`associate-/r/` `*-commutative`
1×	`clear-num` `frac-2neg` `div-inv` `associate-/l*`

Counts

3 → 90

Calls

3 calls:

38.0ms	(* (* (- 3.0 (* x 2.0)) (+ 3.0 (* x 2.0))) x)
130.0ms	(* x (* (* (- 3.0 (* x 2.0)) (+ 3.0 (* x 2.0))) x))
147.0ms	(/ (* x (* (* (- 3.0 (* x 2.0)) (+ 3.0 (* x 2.0))) x)) (+ 3.0 (* 2.0 x)))

series563.0ms

Counts

3 → 9

Calls

3 calls:

235.0ms	(* (* (- 3.0 (* x 2.0)) (+ 3.0 (* x 2.0))) x)
206.0ms	(* x (* (* (- 3.0 (* x 2.0)) (+ 3.0 (* x 2.0))) x))
122.0ms	(/ (* x (* (* (- 3.0 (* x 2.0)) (+ 3.0 (* x 2.0))) x)) (+ 3.0 (* 2.0 x)))

simplify3.3s

Counts

99 → 99

Iterations

Iter	Nodes
done	5001
2	4585
1	595
0	167

prune463.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes111.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	20
2	20
1	18
0	10

end0.0ms

sample771.0ms

Algorithm

intervals

Results

527.0ms

11966×

body

valid