Details

sample64.0ms

Algorithm

intervals

Results

42.0ms

467×

body

valid

simplify1.9s

Counts: 1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize101.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (/ 1.0 21.0) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (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)

rewrite14.7s

Algorithm

rewrite-expression-head

Rules

147×	`add-exp-log` `add-cbrt-cube`
98×	`prod-exp` `cbrt-unprod`
69×	`pow1`
49×	`pow-prod-down`
39×	`associate-l`
27×	`add-sqr-sqrt` `times-frac`
26×	`add-cube-cbrt` `*-un-lft-identity`
15×	`cbrt-undiv` `div-exp`
4×	`add-log-exp`
3×	`associate-r` `associate-l/` `sqrt-prod` `-commutative` `div-inv`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`

Counts

4 → 157

Calls

4 calls:

13.5s	(* (/ 1.0 21.0) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
998.0ms	(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
92.0ms	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
3.0ms	(sqrt PI)

series277.0ms

Counts

4 → 10

Calls

4 calls:

117.0ms	(* (/ 1.0 21.0) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
77.0ms	(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
83.0ms	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms	(sqrt PI)

simplify1.6s

Counts: 167 → 167

prune890.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize43.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* (* (* (fabs x) (fabs x)) (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)

rewrite1.4s

Algorithm

rewrite-expression-head

Rules

140×	`pow1`
84×	`add-exp-log` `add-cbrt-cube`
60×	`pow-plus` `pow-prod-up`
52×	`prod-exp` `cbrt-unprod`
31×	`pow-prod-down`
27×	`associate-l`
21×	`add-sqr-sqrt`
20×	`add-cube-cbrt` `*-un-lft-identity`
18×	`times-frac`
8×	`cbrt-undiv` `pow2` `div-exp` `pow-sqr`
5×	`associate-r`
4×	`pow3` `add-log-exp`
3×	`sqrt-prod` `*-commutative`
2×	`associate-*l/` `div-inv`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`

Counts

4 → 159

Calls

4 calls:

319.0ms	(* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x))
912.0ms	(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
112.0ms	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
1.0ms	(sqrt PI)

series221.0ms

Counts

4 → 10

Calls

4 calls:

70.0ms	(* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x))
72.0ms	(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
78.0ms	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms	(sqrt PI)

simplify1.3s

Counts: 169 → 169

prune709.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize44.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* (* (* (fabs x) (fabs x)) (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)

rewrite1.4s

Algorithm

rewrite-expression-head

Rules

140×	`pow1`
84×	`add-exp-log` `add-cbrt-cube`
60×	`pow-plus` `pow-prod-up`
52×	`prod-exp` `cbrt-unprod`
31×	`pow-prod-down`
27×	`associate-l`
21×	`add-sqr-sqrt`
20×	`add-cube-cbrt` `*-un-lft-identity`
18×	`times-frac`
8×	`cbrt-undiv` `pow2` `div-exp` `pow-sqr`
5×	`associate-r`
4×	`pow3` `add-log-exp`
3×	`sqrt-prod` `*-commutative`
2×	`associate-*l/` `div-inv`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`

Counts

4 → 159

Calls

4 calls:

279.0ms	(* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x))
972.0ms	(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
119.0ms	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
2.0ms	(sqrt PI)

series198.0ms

Counts

4 → 10

Calls

4 calls:

59.0ms	(* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x))
78.0ms	(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
61.0ms	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms	(sqrt PI)

simplify1.2s

Counts: 169 → 169

prune773.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.1b

localize85.0ms

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)))
1.0b	(* (cbrt 21.0) (cbrt 21.0))
1.0b	(sqrt PI)

rewrite1.2s

Algorithm

rewrite-expression-head

Rules

72×	`add-exp-log`
70×	`add-cbrt-cube`
43×	`prod-exp` `cbrt-unprod`
41×	`pow1`
36×	`add-sqr-sqrt`
32×	`associate-l`
27×	`add-cube-cbrt` `*-un-lft-identity`
23×	`pow-prod-down`
18×	`times-frac`
16×	`cbrt-prod`
8×	`cbrt-undiv` `div-exp` `associate-r`
6×	`pow1/3` `swap-sqr`
4×	`add-log-exp` `unswap-sqr`
3×	`sqrt-prod` `*-commutative`
2×	`associate-*l/` `pow-sqr` `pow-prod-up` `div-inv`
1×	`pow2` `rem-sqrt-square` `sqrt-pow1` `pow-plus` `pow1/2`

Counts

4 → 139

Calls

4 calls:

1.0s	(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
101.0ms	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
23.0ms	(* (cbrt 21.0) (cbrt 21.0))
2.0ms	(sqrt PI)

series164.0ms

Counts

4 → 8

Calls

4 calls:

89.0ms	(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
75.0ms	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms	(* (cbrt 21.0) (cbrt 21.0))
0.0ms	(sqrt PI)

simplify1.3s

Counts: 147 → 147

prune1.4s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.1b

regimes102.0ms

Accuracy

0% (0.0b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify701.0ms

end0.0ms

sample3.5s

Algorithm

intervals

Results

3.1s

13987×

body

valid