Details

sample114.0ms

Algorithm

intervals

Results

76.0ms

446×

body

valid

simplify3.1s

Counts

1 → 1

Iterations

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

prune33.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize94.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* (fabs x) (fabs x)) (fabs x))
0.1b	(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
0.1b	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
1.0b	(sqrt PI)

rewrite952.0ms

Algorithm

rewrite-expression-head

Rules

75×	`add-cbrt-cube` `add-exp-log`
53×	`pow1`
45×	`prod-exp` `cbrt-unprod`
27×	`associate-l`
24×	`pow-prod-down`
22×	`add-sqr-sqrt`
20×	`*-un-lft-identity` `add-cube-cbrt`
18×	`times-frac`
8×	`cbrt-undiv` `div-exp`
6×	`pow-plus` `pow-prod-up`
5×	`associate-r`
4×	`add-log-exp`
3×	`*-commutative` `sqrt-prod`
2×	`pow2` `associate-*l/` `pow-sqr` `div-inv`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `pow3` `unswap-sqr`

Counts

4 → 127

Calls

4 calls:

26.0ms	(* (* (fabs x) (fabs x)) (fabs x))
856.0ms	(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
63.0ms	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
1.0ms	(sqrt PI)

series173.0ms

Counts

4 → 10

Calls

4 calls:

34.0ms	(* (* (fabs x) (fabs x)) (fabs x))
85.0ms	(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
54.0ms	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms	(sqrt PI)

simplify4.2s

Counts

137 → 137

Iterations

Iter	Nodes
done	5000
2	4411
1	645
0	216

prune867.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize127.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (fabs x) (sqrt (fabs x)))
0.1b	(* (fabs x) (sqrt (fabs x)))
0.2b	(* (* (fabs x) (sqrt (fabs x))) (* (fabs x) (sqrt (fabs x))))
1.0b	(sqrt PI)

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

78×	`pow1`
29×	`pow-prod-up`
28×	`add-sqr-sqrt`
22×	`pow-prod-down`
20×	`add-cbrt-cube` `add-exp-log`
13×	`associate-r`
11×	`*-un-lft-identity` `sqrt-pow1` `pow1/2` `add-cube-cbrt` `sqrt-prod`
10×	`prod-exp` `cbrt-unprod`
8×	`pow3`
7×	`associate-l` `pow-sqr`
4×	`add-log-exp` `unswap-sqr`
3×	`*-commutative`
2×	`pow-plus`
1×	`pow2` `rem-sqrt-square` `swap-sqr`

Counts

4 → 108

Calls

4 calls:

15.0ms	(* (fabs x) (sqrt (fabs x)))
14.0ms	(* (fabs x) (sqrt (fabs x)))
57.0ms	(* (* (fabs x) (sqrt (fabs x))) (* (fabs x) (sqrt (fabs x))))
1.0ms	(sqrt PI)

series162.0ms

Counts

4 → 10

Calls

4 calls:

62.0ms	(* (fabs x) (sqrt (fabs x)))
48.0ms	(* (fabs x) (sqrt (fabs x)))
51.0ms	(* (* (fabs x) (sqrt (fabs x))) (* (fabs x) (sqrt (fabs x))))
0.0ms	(sqrt PI)

simplify1.9s

Counts

118 → 118

Iterations

Iter	Nodes
done	5000
2	1043
1	217
0	82

prune762.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize62.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* (/ 1.0 5.0) (* (* (fabs x) (fabs x)) (fabs x))) (* (fabs x) (fabs x)))
0.1b	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
0.2b	(* (/ 1.0 5.0) (* (* (fabs x) (fabs x)) (fabs x)))
1.0b	(sqrt PI)

rewrite426.0ms

Algorithm

rewrite-expression-head

Rules

111×	`add-cbrt-cube` `add-exp-log`
69×	`prod-exp` `cbrt-unprod`
55×	`pow1`
36×	`pow-prod-down`
27×	`associate-l`
20×	`add-sqr-sqrt`
19×	`*-un-lft-identity` `add-cube-cbrt`
18×	`times-frac`
12×	`cbrt-undiv` `div-exp`
4×	`associate-*l/` `add-log-exp`
3×	`associate-r` `*-commutative` `sqrt-prod`
2×	`div-inv`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`

Counts

4 → 136

Calls

4 calls:

268.0ms	(* (* (/ 1.0 5.0) (* (* (fabs x) (fabs x)) (fabs x))) (* (fabs x) (fabs x)))
72.0ms	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
71.0ms	(* (/ 1.0 5.0) (* (* (fabs x) (fabs x)) (fabs x)))
1.0ms	(sqrt PI)

series256.0ms

Counts

4 → 10

Calls

4 calls:

74.0ms	(* (* (/ 1.0 5.0) (* (* (fabs x) (fabs x)) (fabs x))) (* (fabs x) (fabs x)))
93.0ms	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
88.0ms	(* (/ 1.0 5.0) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms	(sqrt PI)

simplify2.6s

Counts

146 → 146

Iterations

Iter	Nodes
done	5000
2	2940
1	634
0	208

prune946.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize71.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (fabs x) (* (fabs x) (fabs x)))
0.2b	(* (* (fabs x) (* (fabs x) (fabs x))) (+ (* (/ 1.0 5.0) (* (fabs x) (fabs x))) (/ 2.0 3.0)))
0.2b	(* (/ 1.0 5.0) (* (fabs x) (fabs x)))
1.0b	(sqrt PI)

rewrite256.0ms

Algorithm

rewrite-expression-head

Rules

33×	`pow1`
30×	`add-cbrt-cube` `add-exp-log`
19×	`add-sqr-sqrt`
17×	`associate-l`
15×	`prod-exp` `cbrt-unprod`
14×	`*-un-lft-identity` `add-cube-cbrt`
12×	`pow-prod-down`
10×	`times-frac`
5×	`associate-r` `pow-prod-up`
4×	`add-log-exp`
3×	`associate-r/` `-commutative` `sqrt-prod` `unswap-sqr`
2×	`cbrt-undiv` `div-exp` `associate-*l/`
1×	`pow2` `distribute-rgt-in` `rem-sqrt-square` `distribute-lft-in` `sqrt-pow1` `flip3-+` `pow-plus` `pow1/2` `cube-unmult` `frac-add` `pow-sqr` `flip-+` `div-inv`

Counts

4 → 98

Calls

4 calls:

28.0ms	(* (fabs x) (* (fabs x) (fabs x)))
179.0ms	(* (* (fabs x) (* (fabs x) (fabs x))) (+ (* (/ 1.0 5.0) (* (fabs x) (fabs x))) (/ 2.0 3.0)))
42.0ms	(* (/ 1.0 5.0) (* (fabs x) (fabs x)))
1.0ms	(sqrt PI)

series221.0ms

Counts

4 → 10

Calls

4 calls:

47.0ms	(* (fabs x) (* (fabs x) (fabs x)))
127.0ms	(* (* (fabs x) (* (fabs x) (fabs x))) (+ (* (/ 1.0 5.0) (* (fabs x) (fabs x))) (/ 2.0 3.0)))
46.0ms	(* (/ 1.0 5.0) (* (fabs x) (fabs x)))
0.0ms	(sqrt PI)

simplify3.2s

Counts

108 → 108

Iterations

Iter	Nodes
done	5000
2	3835
1	537
0	171

prune743.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes472.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify11.0ms

Iterations

Iter	Nodes
done	41
1	41
0	28

end0.0ms

sample4.0s

Algorithm

intervals

Results

3.6s

14027×

body

valid