Details

sample221.0ms

Algorithm

intervals

Results

77.0ms	97×	body	1280	valid
66.0ms	91×	body	640	valid
34.0ms	281×	body	80	valid
16.0ms	44×	body	320	valid
5.0ms	21×	body	160	valid

simplify1.1s

Counts: 1 → 1

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 3 expressions with local error:

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

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
7×	`add-cbrt-cube`
5×	`pow1` `add-exp-log` `add-log-exp`
3×	`associate-/r` `associate-r` `associate-l` `insert-posit16` `associate-/l`
2×	`div-inv`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3-+` `div-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

3 → 60

Calls

3 calls:

Slowest

27.0ms	(* (sin re) (exp im))
21.0ms	(+ (* (sin re) (exp im)) (/ (sin re) (exp im)))
18.0ms	(/ (sin re) (exp im))

series220.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

120.0ms	(+ (* (sin re) (exp im)) (/ (sin re) (exp im)))
67.0ms	(* (sin re) (exp im))
34.0ms	(/ (sin re) (exp im))

simplify979.0ms

Counts: 69 → 69

prune754.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize54.0ms

Local error

Found 4 expressions with local error:

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

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`add-cbrt-cube` `insert-posit16` `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 → 77

Calls

4 calls:

Slowest

31.0ms	(* (cbrt (exp im)) (cbrt (exp im)))
3.0ms	(cbrt (exp im))
3.0ms	(cbrt (exp im))
3.0ms	(cbrt (exp im))

series484.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

144.0ms	(* (cbrt (exp im)) (cbrt (exp im)))
125.0ms	(cbrt (exp im))
116.0ms	(cbrt (exp im))
100.0ms	(cbrt (exp im))

simplify7.9s

Counts: 89 → 89

prune1.1s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.3b	(* im 2/3)
0.1b	(exp (* im 2/3))
0.0b	(cbrt (exp im))
0.0b	(* (* (sin re) (exp (* im 2/3))) (cbrt (exp im)))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `pow1`
10×	`add-exp-log`
9×	`-un-lft-identity` `add-cbrt-cube` `associate-r*` `add-cube-cbrt`
6×	`cbrt-prod` `add-log-exp`
4×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16`
2×	`*-commutative`
1×	`exp-prod` `exp-to-pow` `pow1/3` `unswap-sqr` `rem-exp-log`

Counts

4 → 64

Calls

4 calls:

Slowest

37.0ms	(* (* (sin re) (exp (* im 2/3))) (cbrt (exp im)))
6.0ms	(* im 2/3)
5.0ms	(exp (* im 2/3))
4.0ms	(cbrt (exp im))

series296.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

140.0ms	(* (* (sin re) (exp (* im 2/3))) (cbrt (exp im)))
128.0ms	(cbrt (exp im))
21.0ms	(* im 2/3)
7.0ms	(exp (* im 2/3))

simplify699.0ms

Counts: 76 → 76

prune913.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes75.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample8.4s

Algorithm

intervals

Results

3.7s	2952×	body	1280	valid
1.9s	2415×	body	640	valid
1.7s	8543×	body	80	valid
623.0ms	1251×	body	320	valid
184.0ms	621×	body	160	valid