Details

sample83.0ms

Algorithm

intervals

Results

62.0ms

465×

body

valid

simplify2.9s

Counts

1 → 1

Iterations

Iter	Nodes
done	5002
4	4087
3	873
2	228
1	69
0	28

prune26.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize85.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* (fabs x) (fabs x)) (fabs x))
0.1b	(* (* (fabs x) (fabs x)) (fabs x))
0.2b	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
1.0b	(sqrt PI)

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

52×	`pow1`
35×	`add-cbrt-cube` `add-exp-log`
18×	`prod-exp` `cbrt-unprod`
17×	`add-sqr-sqrt`
15×	`associate-l`
14×	`*-un-lft-identity` `add-cube-cbrt`
12×	`pow-plus` `pow-prod-down` `pow-prod-up`
9×	`times-frac`
7×	`associate-r`
4×	`pow2` `pow-sqr` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `*-commutative` `sqrt-prod`
2×	`pow3` `unswap-sqr`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-*l/` `div-inv`

Counts

4 → 107

Calls

4 calls:

15.0ms	(* (* (fabs x) (fabs x)) (fabs x))
16.0ms	(* (* (fabs x) (fabs x)) (fabs x))
51.0ms	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
1.0ms	(sqrt PI)

series145.0ms

Counts

4 → 10

Calls

4 calls:

51.0ms	(* (* (fabs x) (fabs x)) (fabs x))
36.0ms	(* (* (fabs x) (fabs x)) (fabs x))
58.0ms	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms	(sqrt PI)

simplify2.3s

Counts

117 → 117

Iterations

Iter	Nodes
done	5000
2	2312
1	359
0	130

prune671.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize98.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
1.0b	(sqrt PI)
2.1b	(exp (log (* (* (fabs x) (fabs x)) (fabs x))))
37.5b	(log (* (* (fabs x) (fabs x)) (fabs x)))

rewrite112.0ms

Algorithm

rewrite-expression-head

Rules

54×	`pow1`
31×	`add-exp-log`
25×	`add-cbrt-cube`
24×	`log-pow`
15×	`exp-prod` `prod-exp`
14×	`add-sqr-sqrt`
13×	`-un-lft-identity` `associate-l*` `add-cube-cbrt`
12×	`pow-plus` `pow-prod-down` `pow-prod-up` `cbrt-unprod`
9×	`times-frac`
4×	`pow2` `pow-sqr` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `rem-log-exp` `sqrt-prod`
2×	`log-prod` `pow3`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-r` `exp-sum` `associate-l/` `-commutative` `div-inv` `rem-exp-log`

Counts

4 → 98

Calls

4 calls:

48.0ms	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
1.0ms	(sqrt PI)
45.0ms	(exp (log (* (* (fabs x) (fabs x)) (fabs x))))
14.0ms	(log (* (* (fabs x) (fabs x)) (fabs x)))

series214.0ms

Counts

4 → 10

Calls

4 calls:

71.0ms	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms	(sqrt PI)
48.0ms	(exp (log (* (* (fabs x) (fabs x)) (fabs x))))
94.0ms	(log (* (* (fabs x) (fabs x)) (fabs x)))

simplify1.7s

Counts

108 → 108

Iterations

Iter	Nodes
done	5000
2	1894
1	338
0	125

prune846.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize125.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* (fabs x) (fabs x)) (fabs x))
0.1b	(* (* (fabs x) (fabs x)) (fabs x))
0.2b	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
1.0b	(sqrt PI)

rewrite136.0ms

Algorithm

rewrite-expression-head

Rules

52×	`pow1`
35×	`add-cbrt-cube` `add-exp-log`
18×	`prod-exp` `cbrt-unprod`
17×	`add-sqr-sqrt`
15×	`associate-l`
14×	`*-un-lft-identity` `add-cube-cbrt`
12×	`pow-plus` `pow-prod-down` `pow-prod-up`
9×	`times-frac`
7×	`associate-r`
4×	`pow2` `pow-sqr` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `*-commutative` `sqrt-prod`
2×	`pow3` `unswap-sqr`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-*l/` `div-inv`

Counts

4 → 107

Calls

4 calls:

28.0ms	(* (* (fabs x) (fabs x)) (fabs x))
29.0ms	(* (* (fabs x) (fabs x)) (fabs x))
71.0ms	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
2.0ms	(sqrt PI)

series156.0ms

Counts

4 → 10

Calls

4 calls:

46.0ms	(* (* (fabs x) (fabs x)) (fabs x))
45.0ms	(* (* (fabs x) (fabs x)) (fabs x))
65.0ms	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms	(sqrt PI)

simplify2.3s

Counts

117 → 117

Iterations

Iter	Nodes
done	5000
2	2240
1	365
0	132

prune781.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize65.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* (fabs x) (fabs x)) (* (fabs x) (fabs x)))
0.2b	(* (/ 1.0 21.0) (* (fabs x) (fabs x)))
0.3b	(* (/ 2.0 3.0) (fabs x))
1.0b	(sqrt PI)

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

123×	`pow1`
36×	`pow-prod-up`
33×	`add-cbrt-cube` `add-exp-log`
29×	`add-sqr-sqrt`
27×	`associate-l` `pow-prod-down`
22×	`pow-sqr`
20×	`*-un-lft-identity` `times-frac` `add-cube-cbrt`
18×	`pow-plus`
16×	`prod-exp` `cbrt-unprod`
13×	`pow2`
5×	`associate-r` `unswap-sqr`
4×	`add-log-exp`
3×	`cbrt-undiv` `div-exp` `*-commutative` `sqrt-prod`
2×	`associate-*l/` `div-inv`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `swap-sqr`

Counts

4 → 143

Calls

4 calls:

40.0ms	(* (* (fabs x) (fabs x)) (* (fabs x) (fabs x)))
28.0ms	(* (/ 1.0 21.0) (* (fabs x) (fabs x)))
12.0ms	(* (/ 2.0 3.0) (fabs x))
1.0ms	(sqrt PI)

series133.0ms

Counts

4 → 10

Calls

4 calls:

55.0ms	(* (* (fabs x) (fabs x)) (* (fabs x) (fabs x)))
56.0ms	(* (/ 1.0 21.0) (* (fabs x) (fabs x)))
21.0ms	(* (/ 2.0 3.0) (fabs x))
0.0ms	(sqrt PI)

simplify2.8s

Counts

153 → 153

Iterations

Iter	Nodes
done	5000
2	3268
1	546
0	196

prune905.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes199.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify24.0ms

Iterations

Iter	Nodes
done	47
1	47
0	32

end0.0ms

sample3.2s

Algorithm

intervals

Results

3.0s

13963×

body

valid