Details

sample148.0ms

Algorithm

intervals

Results

129.0ms

469×

body

valid

simplify2.5s

Counts

1 → 1

Iterations

Iter	Nodes
4	4611
3	1089
2	240
1	74
0	28

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize100.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* (fabs x) (fabs x)) (fabs x))
0.1b	(* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
0.2b	(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
1.0b	(sqrt PI)

rewrite753.0ms

Algorithm

rewrite-expression-head

Rules

115×	`add-exp-log`
75×	`add-cbrt-cube` `prod-exp`
53×	`pow1`
45×	`cbrt-unprod`
27×	`associate-l`
24×	`pow-prod-down`
22×	`add-sqr-sqrt`
20×	`*-un-lft-identity` `add-cube-cbrt`
18×	`times-frac`
13×	`div-exp`
8×	`cbrt-undiv`
6×	`pow-plus` `pow-prod-up`
5×	`rec-exp` `1-exp` `associate-r`
4×	`insert-posit16` `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 → 141

Calls

4 calls:

30.0ms	(* (* (fabs x) (fabs x)) (fabs x))
627.0ms	(* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
89.0ms	(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
1.0ms	(sqrt PI)

series189.0ms

Counts

4 → 10

Calls

4 calls:

48.0ms	(* (* (fabs x) (fabs x)) (fabs x))
79.0ms	(* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
62.0ms	(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms	(sqrt PI)

simplify5.8s

Counts

151 → 151

Iterations

Iter	Nodes
3	7326
2	1986
1	630
0	226

prune3.2s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize99.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* (fabs x) (fabs x)) (fabs x))
0.1b	(* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
0.2b	(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
1.0b	(sqrt PI)

rewrite638.0ms

Algorithm

rewrite-expression-head

Rules

115×	`add-exp-log`
75×	`add-cbrt-cube` `prod-exp`
53×	`pow1`
45×	`cbrt-unprod`
27×	`associate-l`
24×	`pow-prod-down`
22×	`add-sqr-sqrt`
20×	`*-un-lft-identity` `add-cube-cbrt`
18×	`times-frac`
13×	`div-exp`
8×	`cbrt-undiv`
6×	`pow-plus` `pow-prod-up`
5×	`rec-exp` `1-exp` `associate-r`
4×	`insert-posit16` `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 → 141

Calls

4 calls:

19.0ms	(* (* (fabs x) (fabs x)) (fabs x))
548.0ms	(* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
63.0ms	(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
2.0ms	(sqrt PI)

series163.0ms

Counts

4 → 10

Calls

4 calls:

32.0ms	(* (* (fabs x) (fabs x)) (fabs x))
75.0ms	(* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
56.0ms	(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms	(sqrt PI)

simplify4.6s

Counts

151 → 151

Iterations

Iter	Nodes
3	6772
2	1886
1	591
0	214

prune3.0s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize90.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* (* (fabs x) (fabs x)) (sqrt (fabs x))) (sqrt (fabs x)))
0.2b	(* (* (fabs x) (fabs x)) (sqrt (fabs x)))
0.2b	(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
1.0b	(sqrt PI)

rewrite178.0ms

Algorithm

rewrite-expression-head

Rules

78×	`pow1`
46×	`pow-prod-up`
39×	`add-cbrt-cube` `add-exp-log`
21×	`sqrt-pow1` `pow1/2` `prod-exp` `cbrt-unprod`
19×	`add-sqr-sqrt`
16×	`*-un-lft-identity` `add-cube-cbrt`
15×	`associate-l` `pow-prod-down`
13×	`associate-r`
10×	`sqrt-prod`
9×	`times-frac`
6×	`pow2` `pow-plus` `pow-sqr`
4×	`insert-posit16` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `*-commutative`
2×	`unswap-sqr`
1×	`rem-sqrt-square` `associate-*l/` `div-inv`

Counts

4 → 126

Calls

4 calls:

95.0ms	(* (* (* (fabs x) (fabs x)) (sqrt (fabs x))) (sqrt (fabs x)))
20.0ms	(* (* (fabs x) (fabs x)) (sqrt (fabs x)))
58.0ms	(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
1.0ms	(sqrt PI)

series156.0ms

Counts

4 → 10

Calls

4 calls:

39.0ms	(* (* (* (fabs x) (fabs x)) (sqrt (fabs x))) (sqrt (fabs x)))
68.0ms	(* (* (fabs x) (fabs x)) (sqrt (fabs x)))
48.0ms	(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms	(sqrt PI)

simplify4.1s

Counts

136 → 136

Iterations

Iter	Nodes
3	6243
2	1888
1	491
0	170

prune2.9s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize127.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt (fabs x))
0.7b	(cbrt (fabs x))
0.7b	(cbrt (fabs x))
1.0b	(sqrt PI)

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod` `add-sqr-sqrt`
8×	`*-un-lft-identity` `add-cube-cbrt`
5×	`pow1`
4×	`add-cbrt-cube` `add-exp-log` `insert-posit16` `add-log-exp`
3×	`pow1/3` `sqrt-prod`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`

Counts

4 → 50

Calls

4 calls:

1.0ms	(cbrt (fabs x))
1.0ms	(cbrt (fabs x))
1.0ms	(cbrt (fabs x))
2.0ms	(sqrt PI)

series488.0ms

Counts

4 → 10

Calls

4 calls:

160.0ms	(cbrt (fabs x))
176.0ms	(cbrt (fabs x))
152.0ms	(cbrt (fabs x))
0.0ms	(sqrt PI)

simplify3.2s

Counts

60 → 60

Iterations

Iter	Nodes
5	4211
4	828
3	283
2	106
1	58
0	37

prune1.3s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes231.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify16.0ms

Iterations

Iter	Nodes
2	51
1	51
0	31

end0.0ms

sample5.4s

Algorithm

intervals

Results

4.7s

14045×

body

valid