Details

sample54.0ms

Algorithm

intervals

Results

15.0ms	42×	body	1280	valid
11.0ms	232×	body	80	valid
10.0ms	42×	body	640	valid
3.0ms	22×	body	320	valid
1.0ms	6×	body	160	valid

simplify19.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (exp re) (sin im))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 18

Calls

1 calls:

38.0ms

(* (exp re) (sin im))

series47.0ms

Counts

1 → 3

Calls

1 calls:

47.0ms

(* (exp re) (sin im))

simplify1.2s

Counts: 21 → 21

prune43.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (exp re))
0.0b	(* (* (cbrt (exp re)) (cbrt (exp re))) (* (cbrt (exp re)) (sin im)))
0.0b	(* (cbrt (exp re)) (sin im))
0.0b	(* (cbrt (exp re)) (cbrt (exp re)))

rewrite125.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 95

Calls

4 calls:

3.0ms	(cbrt (exp re))
77.0ms	(* (* (cbrt (exp re)) (cbrt (exp re))) (* (cbrt (exp re)) (sin im)))
20.0ms	(* (cbrt (exp re)) (sin im))
21.0ms	(* (cbrt (exp re)) (cbrt (exp re)))

series393.0ms

Counts

4 → 12

Calls

4 calls:

109.0ms	(cbrt (exp re))
49.0ms	(* (* (cbrt (exp re)) (cbrt (exp re))) (* (cbrt (exp re)) (sin im)))
104.0ms	(* (cbrt (exp re)) (sin im))
131.0ms	(* (cbrt (exp re)) (cbrt (exp re)))

simplify550.0ms

Counts: 107 → 107

prune264.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (cbrt (pow (exp re) 2)) (* (cbrt (exp re)) (sin im)))
0.0b	(* (cbrt (exp re)) (sin im))
0.0b	(pow (exp re) 2)
0.2b	(cbrt (pow (exp re) 2))

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

20×	`cbrt-prod`
19×	`add-sqr-sqrt`
17×	`associate-l`
15×	`add-cube-cbrt` `*-un-lft-identity`
12×	`pow1`
11×	`add-exp-log`
9×	`unpow-prod-down`
7×	`add-cbrt-cube`
4×	`pow-pow` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`pow-unpow` `exp-prod` `unpow2` `sqr-pow`
2×	`*-commutative` `unswap-sqr`
1×	`pow-to-exp` `pow1/3` `pow-exp`

Counts

4 → 85

Calls

4 calls:

58.0ms	(* (cbrt (pow (exp re) 2)) (* (cbrt (exp re)) (sin im)))
15.0ms	(* (cbrt (exp re)) (sin im))
5.0ms	(pow (exp re) 2)
3.0ms	(cbrt (pow (exp re) 2))

series293.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(* (cbrt (pow (exp re) 2)) (* (cbrt (exp re)) (sin im)))
88.0ms	(* (cbrt (exp re)) (sin im))
18.0ms	(pow (exp re) 2)
130.0ms	(cbrt (pow (exp re) 2))

simplify2.6s

Counts: 97 → 97

prune334.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes110.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify19.0ms

end0.0ms

sample2.6s

Algorithm

intervals

Results

1.1s	1535×	body	1280	valid
467.0ms	6994×	body	80	valid
367.0ms	1234×	body	640	valid
230.0ms	588×	body	320	valid
36.0ms	293×	body	160	valid