Details

sample107.0ms

Algorithm

intervals

Results

43.0ms	82×	body	1280	valid
20.0ms	77×	body	640	valid
15.0ms	269×	body	80	valid
7.0ms	41×	body	320	valid
2.0ms	17×	body	160	valid

simplify67.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (exp (- im)) (exp im))
0.0b	(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))

rewrite101.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 35

Calls

2 calls:

21.0ms	(+ (exp (- im)) (exp im))
79.0ms	(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))

series93.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(+ (exp (- im)) (exp im))
63.0ms	(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))

simplify36.0ms

Counts: 41 → 41

prune95.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (* 0.5 (cos re)) (exp im))
0.0b	(+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))
0.0b	(/ (* 0.5 (cos re)) (exp im))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 51

Calls

3 calls:

26.0ms	(* (* 0.5 (cos re)) (exp im))
25.0ms	(+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))
13.0ms	(/ (* 0.5 (cos re)) (exp im))

series167.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(* (* 0.5 (cos re)) (exp im))
89.0ms	(+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))
41.0ms	(/ (* 0.5 (cos re)) (exp im))

simplify49.0ms

Counts: 60 → 60

prune145.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (exp (- im)) (exp (- im)))
0.0b	(pow (exp im) 3)
0.1b	(pow (exp (- im)) 3)
6.6b	(- (* (exp im) (exp im)) (* (exp (- im)) (exp im)))

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

89×	`exp-prod`
50×	`*-un-lft-identity`
38×	`add-sqr-sqrt`
36×	`add-cube-cbrt`
27×	`distribute-rgt-neg-in`
23×	`distribute-lft-neg-in`
15×	`pow-pow` `pow-prod-down`
13×	`pow1` `pow-sqr` `pow-prod-up`
9×	`neg-mul-1`
8×	`exp-neg` `add-cbrt-cube`
7×	`neg-sub0` `exp-diff`
6×	`unpow-prod-down` `pow-unpow` `cube-prod` `add-log-exp`
4×	`add-exp-log` `frac-times`
3×	`swap-sqr` `associate-r` `associate-l`
2×	`cube-div` `cube-mult` `pow-to-exp` `unpow3` `associate-r/` `associate-l/` `pow-exp` `rem-cube-cbrt` `sqr-pow`
1×	`pow2` `sub-neg` `flip3--` `distribute-rgt-out--` `pow-plus` `diff-log` `prod-exp` `un-div-inv` `*-commutative` `flip--` `cbrt-unprod` `unswap-sqr`

Counts

4 → 146

Calls

4 calls:

48.0ms	(* (exp (- im)) (exp (- im)))
5.0ms	(pow (exp im) 3)
12.0ms	(pow (exp (- im)) 3)
24.0ms	(- (* (exp im) (exp im)) (* (exp (- im)) (exp im)))

series124.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(* (exp (- im)) (exp (- im)))
25.0ms	(pow (exp im) 3)
33.0ms	(pow (exp (- im)) 3)
49.0ms	(- (* (exp im) (exp im)) (* (exp (- im)) (exp im)))

simplify141.0ms

Counts: 158 → 158

prune484.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes125.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

end0.0ms

sample4.6s

Algorithm

intervals

Results

1.9s	2989×	body	1280	valid
845.0ms	2456×	body	640	valid
711.0ms	8540×	body	80	valid
400.0ms	608×	body	160	valid
329.0ms	1277×	body	320	valid