Details

sample310.0ms

Algorithm

intervals

Results

169.0ms	105×	body	1280	valid
53.0ms	78×	body	640	valid
39.0ms	264×	body	80	valid
21.0ms	44×	body	320	valid
7.0ms	23×	body	160	valid

simplify164.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

164.0ms

(* (* 0.5 (sin re)) (+ (exp (- 0 im)) (exp im)))

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 3 expressions with local error:

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

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 53

Calls

3 calls:

Slowest

44.0ms	(+ (* (exp im) (* 0.5 (sin re))) (/ (* 0.5 (sin re)) (exp im)))
24.0ms	(/ (* 0.5 (sin re)) (exp im))
22.0ms	(* (exp im) (* 0.5 (sin re)))

series282.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

148.0ms	(+ (* (exp im) (* 0.5 (sin re))) (/ (* 0.5 (sin re)) (exp im)))
81.0ms	(* (exp im) (* 0.5 (sin re)))
53.0ms	(/ (* 0.5 (sin re)) (exp im))

simplify3.1s

Counts

32 → 62

Calls

32 calls:

Slowest

575.0ms	(* (* (* (exp im) (exp im)) (exp im)) (* (* (* 0.5 (sin re)) (* 0.5 (sin re))) (* 0.5 (sin re))))
452.0ms	(* (exp (* (exp im) (* 0.5 (sin re)))) (exp (/ (* 0.5 (sin re)) (exp im))))
394.0ms	(* (* (* (exp im) (exp im)) (exp im)) (* (* (* 0.5 0.5) 0.5) (* (* (sin re) (sin re)) (sin re))))
332.0ms	(- (+ (* 1.0 re) (* 0.5 (* re (pow im 2)))) (* 0.16666666666666666 (pow re 3)))
281.0ms	(+ (* 0.5 (* re im)) (+ (* 0.5 re) (* 0.25 (* re (pow im 2)))))

prune617.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (exp im) (* 0.5 (sin re)))
0.0b	(+ (* (exp im) (* 0.5 (sin re))) (* (* 0.5 (sin re)) (/ 1 (exp im))))
0.0b	(/ 1 (exp im))
0.0b	(* (* 0.5 (sin re)) (/ 1 (exp im)))

rewrite97.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-exp-log`
23×	`add-cbrt-cube`
21×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
18×	`times-frac`
15×	`pow1` `prod-exp`
14×	`associate-r`
9×	`cbrt-unprod`
6×	`div-exp` `pow-prod-down` `add-log-exp`
4×	`associate-l` `insert-posit16` `pow-flip`
3×	`cbrt-undiv` `rec-exp` `exp-prod` `associate-/r` `1-exp` `associate-/l`
2×	`*-commutative` `div-inv`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3-+` `associate-*r/` `un-div-inv` `flip-+` `inv-pow`

Counts

4 → 105

Calls

4 calls:

Slowest

33.0ms	(* (* 0.5 (sin re)) (/ 1 (exp im)))
33.0ms	(+ (* (exp im) (* 0.5 (sin re))) (* (* 0.5 (sin re)) (/ 1 (exp im))))
24.0ms	(* (exp im) (* 0.5 (sin re)))
6.0ms	(/ 1 (exp im))

series325.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

169.0ms	(+ (* (exp im) (* 0.5 (sin re))) (* (* 0.5 (sin re)) (/ 1 (exp im))))
75.0ms	(* (* 0.5 (sin re)) (/ 1 (exp im)))
65.0ms	(* (exp im) (* 0.5 (sin re)))
17.0ms	(/ 1 (exp im))

simplify4.7s

Counts

81 → 117

Calls

81 calls:

Slowest

591.0ms	(* (* (* (exp im) (exp im)) (exp im)) (* (* (* 0.5 (sin re)) (* 0.5 (sin re))) (* 0.5 (sin re))))
396.0ms	(* (* (* (exp im) (exp im)) (exp im)) (* (* (* 0.5 0.5) 0.5) (* (* (sin re) (sin re)) (sin re))))
376.0ms	(- (+ (* 1.0 re) (* 0.5 (* re (pow im 2)))) (* 0.16666666666666666 (pow re 3)))
273.0ms	(+ (* 0.5 (* re im)) (+ (* 0.5 re) (* 0.25 (* re (pow im 2)))))
193.0ms	(* (* (* (* 0.5 (sin re)) (* 0.5 (sin re))) (* 0.5 (sin re))) (/ (* (* 1 1) 1) (* (* (exp im) (exp im)) (exp im))))

prune1.2s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize58.0ms

Local error

Found 4 expressions with local error:

1.5b	(exp (+ im (+ (log 0.5) (log (sin re)))))
0.2b	(log (sin re))
0.1b	(+ (log 0.5) (log (sin re)))
0.0b	(+ (exp (+ im (+ (log 0.5) (log (sin re))))) (/ (* 0.5 (sin re)) (exp im)))

rewrite334.0ms

Algorithm

rewrite-expression-head

Rules

24×	`*-un-lft-identity`
14×	`distribute-lft-out`
13×	`pow1`
10×	`add-log-exp`
9×	`log-prod` `log-pow`
8×	`add-sqr-sqrt` `exp-prod` `add-cube-cbrt`
5×	`sum-log` `add-exp-log`
4×	`add-cbrt-cube` `insert-posit16`
3×	`associate-+l+` `associate-+r+` `rem-exp-log`
2×	`+-commutative` `flip3-+` `flip-+`
1×	`rem-log-exp` `exp-sum`

Counts

4 → 68

Calls

4 calls:

Slowest

210.0ms	(+ (exp (+ im (+ (log 0.5) (log (sin re))))) (/ (* 0.5 (sin re)) (exp im)))
103.0ms	(exp (+ im (+ (log 0.5) (log (sin re)))))
16.0ms	(+ (log 0.5) (log (sin re)))
4.0ms	(log (sin re))

series540.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

248.0ms	(+ (log 0.5) (log (sin re)))
135.0ms	(+ (exp (+ im (+ (log 0.5) (log (sin re))))) (/ (* 0.5 (sin re)) (exp im)))
86.0ms	(log (sin re))
71.0ms	(exp (+ im (+ (log 0.5) (log (sin re)))))

simplify1.9s

Counts

41 → 80

Calls

41 calls:

Slowest

347.0ms	(- (+ (log 0.5) (log re)) (+ (* 1/6 (pow re 2)) (* 1/180 (pow re 4))))
301.0ms	(+ (* im (exp (+ (log 0.5) (log re)))) (+ (* 1/2 (* (pow im 2) (exp (+ (log 0.5) (log re))))) (exp (+ (log 0.5) (log re)))))
257.0ms	(* (exp (exp (+ im (+ (log 0.5) (log (sin re)))))) (exp (/ (* 0.5 (sin re)) (exp im))))
132.0ms	(- (log re) (+ (* 1/6 (pow re 2)) (* 1/180 (pow re 4))))
123.0ms	(exp (* (cbrt (+ im (+ (log 0.5) (log (sin re))))) (cbrt (+ im (+ (log 0.5) (log (sin re)))))))

prune1.0s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes162.0ms

Accuracy

0% (0.0b remaining)

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

bsearch2.0ms

end0.0ms

sample8.9s

Algorithm

intervals

Results

3.2s	3023×	body	1280	valid
2.5s	2471×	body	640	valid
1.4s	8533×	body	80	valid
1.0s	1228×	body	320	valid
307.0ms	607×	body	160	valid