Details

sample275.0ms

Algorithm

intervals

Results

147.0ms	105×	body	1280	valid
50.0ms	78×	body	640	valid
31.0ms	264×	body	80	valid
19.0ms	45×	body	320	valid
6.0ms	22×	body	160	valid

simplify586.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

586.0ms

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

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 2 expressions with local error:

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

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-cbrt-cube`
5×	`add-exp-log`
4×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
3×	`associate-/r*` `times-frac`
2×	`expm1-log1p-u` `pow1` `cbrt-undiv` `div-exp` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`clear-num` `frac-2neg` `prod-exp` `cbrt-unprod` `fma-udef` `div-inv` `associate-/l*`

Counts

2 → 35

Calls

2 calls:

Slowest

22.0ms	(/ (* 0.5 (cos re)) (exp im))
0.0ms	(fma (exp im) (* 0.5 (cos re)) (/ (* 0.5 (cos re)) (exp im)))

series189.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

138.0ms	(fma (exp im) (* 0.5 (cos re)) (/ (* 0.5 (cos re)) (exp im)))
51.0ms	(/ (* 0.5 (cos re)) (exp im))

simplify1.1s

Counts

19 → 41

Calls

19 calls:

Slowest

199.0ms	(- (+ (* 0.5 (pow im 2)) 1.0) (* 0.5 (pow re 2)))
195.0ms	(/ (* (* (* 0.5 0.5) 0.5) (* (* (cos re) (cos re)) (cos re))) (* (* (exp im) (exp im)) (exp im)))
179.0ms	(/ (* (* (* 0.5 (cos re)) (* 0.5 (cos re))) (* 0.5 (cos re))) (* (* (exp im) (exp im)) (exp im)))
143.0ms	(- 0.5 (+ (* 0.25 (pow re 2)) (* 0.5 im)))
76.0ms	(+ (* 0.5 (* (exp im) (cos re))) (* 0.5 (/ (cos re) (exp im))))

prune467.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.1b	(exp (- (log (* 0.5 (cos re))) im))
0.1b	(log (* 0.5 (cos re)))
0.0b	(- (log (* 0.5 (cos re))) im)
0.0b	(fma (exp im) (* 0.5 (cos re)) (exp (- (log (* 0.5 (cos re))) im)))

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

34×	`pow1`
30×	`*-un-lft-identity` `prod-diff`
26×	`add-sqr-sqrt`
22×	`add-cube-cbrt`
20×	`log-pow`
18×	`exp-sum`
10×	`pow-prod-down`
7×	`exp-prod` `add-exp-log` `add-log-exp`
6×	`distribute-lft-out--`
5×	`fma-neg`
4×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u`
3×	`log-prod`
2×	`sub-neg` `diff-log` `rem-log-exp` `associate--l+` `difference-of-squares` `rem-exp-log`
1×	`flip3--` `exp-diff` `prod-exp` `fma-udef` `flip--`

Counts

4 → 104

Calls

4 calls:

Slowest

43.0ms	(- (log (* 0.5 (cos re))) im)
41.0ms	(exp (- (log (* 0.5 (cos re))) im))
8.0ms	(log (* 0.5 (cos re)))
0.0ms	(fma (exp im) (* 0.5 (cos re)) (exp (- (log (* 0.5 (cos re))) im)))

series411.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

136.0ms	(log (* 0.5 (cos re)))
107.0ms	(fma (exp im) (* 0.5 (cos re)) (exp (- (log (* 0.5 (cos re))) im)))
91.0ms	(- (log (* 0.5 (cos re))) im)
77.0ms	(exp (- (log (* 0.5 (cos re))) im))

simplify6.7s

Counts

82 → 116

Calls

82 calls:

Slowest

391.0ms	(exp (fma (* (cbrt (log (* 0.5 (cos re)))) (cbrt (log (* 0.5 (cos re))))) (cbrt (log (* 0.5 (cos re)))) (- (* (cbrt im) (* (cbrt im) (cbrt im))))))
328.0ms	(exp (fma 1 (log (* 0.5 (cos re))) (- (* (cbrt im) (* (cbrt im) (cbrt im))))))
327.0ms	(exp (fma 1 (log (* 0.5 (cos re))) (- (* (cbrt im) (* (cbrt im) (cbrt im))))))
283.0ms	(exp (fma (sqrt (log (* 0.5 (cos re)))) (sqrt (log (* 0.5 (cos re)))) (- (* (cbrt im) (* (cbrt im) (cbrt im))))))
280.0ms	(exp (fma 1 (log (* 0.5 (cos re))) (- (* (cbrt im) (* (cbrt im) (cbrt im))))))

prune1.3s

Pruning

2 alts after pruning (0 fresh and 2 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

bsearch2.0ms

end0.0ms

sample8.2s

Algorithm

intervals

Results

3.8s	3019×	body	1280	valid
2.1s	2476×	body	640	valid
1.3s	8529×	body	80	valid
532.0ms	1227×	body	320	valid
210.0ms	613×	body	160	valid