Details

sample128.0ms

Algorithm

intervals

Results

12.0ms

320×

body

valid

simplify32.0ms

Counts: 1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (+ x y) z)

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 21

Calls

1 calls:

48.0ms

(* (+ x y) z)

series85.0ms

Counts

1 → 3

Calls

1 calls:

84.0ms

(* (+ x y) z)

simplify726.0ms

Counts: 24 → 24

prune58.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (cbrt z) (cbrt z))
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

18.0ms	(* (cbrt z) (cbrt z))
2.0ms	(cbrt z)
2.0ms	(cbrt z)
2.0ms	(cbrt z)

series1.2s

Counts

4 → 12

Calls

4 calls:

308.0ms	(* (cbrt z) (cbrt z))
299.0ms	(cbrt z)
289.0ms	(cbrt z)
291.0ms	(cbrt z)

simplify926.0ms

Counts: 85 → 85

prune266.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ x y))
0.0b	(sqrt (+ x y))
0.1b	(* (sqrt (+ x y)) z)
0.2b	(* (sqrt (+ x y)) (* (sqrt (+ x y)) z))

rewrite158.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
18×	`sqrt-div`
17×	`add-sqr-sqrt` `sqrt-prod`
14×	`associate-l`
13×	`pow1`
11×	`add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
10×	`associate-*l/`
9×	`flip3-+` `flip-+`
4×	`frac-times` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `distribute-lft-out` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-r/` `-commutative` `unswap-sqr`

Counts

4 → 87

Calls

4 calls:

15.0ms	(sqrt (+ x y))
17.0ms	(sqrt (+ x y))
46.0ms	(* (sqrt (+ x y)) z)
75.0ms	(* (sqrt (+ x y)) (* (sqrt (+ x y)) z))

series212.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(sqrt (+ x y))
39.0ms	(sqrt (+ x y))
70.0ms	(* (sqrt (+ x y)) z)
42.0ms	(* (sqrt (+ x y)) (* (sqrt (+ x y)) z))

simplify1.7s

Counts: 99 → 99

prune354.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (+ x y) (sqrt z))
0.2b	(* (* (+ x y) (sqrt z)) (sqrt z))

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 48

Calls

2 calls:

40.0ms	(* (+ x y) (sqrt z))
52.0ms	(* (* (+ x y) (sqrt z)) (sqrt z))

series114.0ms

Counts

2 → 6

Calls

2 calls:

74.0ms	(* (+ x y) (sqrt z))
40.0ms	(* (* (+ x y) (sqrt z)) (sqrt z))

simplify1.4s

Counts: 54 → 54

prune149.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes119.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify15.0ms

end0.0ms

sample875.0ms

Algorithm

intervals

Results

338.0ms

10010×

body

valid