Details

sample235.0ms

Algorithm

intervals

Results

107.0ms	78×	body	1280	valid
51.0ms	85×	body	640	valid
33.0ms	277×	body	80	valid
20.0ms	33×	body	320	valid
6.0ms	22×	body	160	valid

simplify247.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

247.0ms

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

prune22.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

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)))

rewrite17.0ms

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

17.0ms	(/ (* 0.5 (cos re)) (exp im))
0.0ms	(fma (exp im) (* 0.5 (cos re)) (/ (* 0.5 (cos re)) (exp im)))

series208.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

163.0ms	(fma (exp im) (* 0.5 (cos re)) (/ (* 0.5 (cos re)) (exp im)))
44.0ms	(/ (* 0.5 (cos re)) (exp im))

simplify1.0s

Counts

19 → 41

Calls

19 calls:

Slowest

205.0ms	(/ (* (* (* 0.5 (cos re)) (* 0.5 (cos re))) (* 0.5 (cos re))) (* (* (exp im) (exp im)) (exp im)))
184.0ms	(/ (* (* (* 0.5 0.5) 0.5) (* (* (cos re) (cos re)) (cos re))) (* (* (exp im) (exp im)) (exp im)))
184.0ms	(- 0.5 (+ (* 0.25 (pow re 2)) (* 0.5 im)))
157.0ms	(- (+ (* 0.5 (pow im 2)) 1.0) (* 0.5 (pow re 2)))
63.0ms	(+ (* 0.5 (* (exp im) (cos re))) (* 0.5 (/ (cos re) (exp im))))

prune467.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize33.0ms

Local error

Found 3 expressions with local error:

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

rewrite93.0ms

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×	`expm1-log1p-u` `associate-/r` `times-frac` `associate-l*` `pow-prod-down` `insert-posit16` `log1p-expm1-u`
2×	`cbrt-undiv` `div-exp`
1×	`+-commutative` `clear-num` `sum-log` `fma-def` `frac-2neg` `flip3-+` `associate-r` `-commutative` `flip-+` `div-inv` `associate-/l`

Counts

3 → 60

Calls

3 calls:

Slowest

37.0ms	(* (exp im) (* 0.5 (cos re)))
30.0ms	(+ (* (exp im) (* 0.5 (cos re))) (/ (* 0.5 (cos re)) (exp im)))
25.0ms	(/ (* 0.5 (cos re)) (exp im))

series272.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

151.0ms	(+ (* (exp im) (* 0.5 (cos re))) (/ (* 0.5 (cos re)) (exp im)))
72.0ms	(* (exp im) (* 0.5 (cos re)))
49.0ms	(/ (* 0.5 (cos re)) (exp im))

simplify2.4s

Counts

33 → 69

Calls

33 calls:

Slowest

487.0ms	(* (* (* (exp im) (exp im)) (exp im)) (* (* (* 0.5 (cos re)) (* 0.5 (cos re))) (* 0.5 (cos re))))
374.0ms	(* (* (* (exp im) (exp im)) (exp im)) (* (* (* 0.5 0.5) 0.5) (* (* (cos re) (cos re)) (cos re))))
216.0ms	(/ (* (* (* 0.5 (cos re)) (* 0.5 (cos re))) (* 0.5 (cos re))) (* (* (exp im) (exp im)) (exp im)))
197.0ms	(/ (* (* (* 0.5 0.5) 0.5) (* (* (cos re) (cos re)) (cos re))) (* (* (exp im) (exp im)) (exp im)))
190.0ms	(- (+ (* 0.5 (pow im 2)) 1.0) (* 0.5 (pow re 2)))

prune755.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize44.0ms

Local error

Found 4 expressions with local error:

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

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

108×	`times-frac`
60×	`sqrt-prod`
52×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
23×	`add-cbrt-cube`
21×	`add-exp-log`
12×	`associate-/r*`
11×	`associate-/l*`
9×	`pow1` `div-inv`
7×	`cbrt-undiv` `div-exp`
6×	`add-log-exp`
5×	`prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
3×	`associate-l` `pow-prod-down`
2×	`clear-num` `frac-2neg`
1×	`+-commutative` `sum-log` `fma-def` `flip3-+` `associate-r` `*-commutative` `flip-+` `associate-/l/`

Counts

4 → 162

Calls

4 calls:

Slowest

37.0ms	(+ (* (exp im) (* 0.5 (cos re))) (/ (/ (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im))))
20.0ms	(* (exp im) (* 0.5 (cos re)))
17.0ms	(/ (/ (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im)))
16.0ms	(/ (* 0.5 (cos re)) (sqrt (exp im)))

series389.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

150.0ms	(+ (* (exp im) (* 0.5 (cos re))) (/ (/ (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im))))
94.0ms	(/ (* 0.5 (cos re)) (sqrt (exp im)))
76.0ms	(* (exp im) (* 0.5 (cos re)))
68.0ms	(/ (/ (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im)))

simplify9.2s

Counts

187 → 174

Calls

187 calls:

Slowest

612.0ms	(* (* (* (exp im) (exp im)) (exp im)) (* (* (* 0.5 (cos re)) (* 0.5 (cos re))) (* 0.5 (cos re))))
489.0ms	(* (* (* (exp im) (exp im)) (exp im)) (* (* (* 0.5 0.5) 0.5) (* (* (cos re) (cos re)) (cos re))))
401.0ms	(/ (/ (* (* (* 0.5 0.5) 0.5) (* (* (cos re) (cos re)) (cos re))) (* (* (sqrt (exp im)) (sqrt (exp im))) (sqrt (exp im)))) (* (* (sqrt (exp im)) (sqrt (exp im))) (sqrt (exp im))))
371.0ms	(/ (/ (* (* (* 0.5 (cos re)) (* 0.5 (cos re))) (* 0.5 (cos re))) (* (* (sqrt (exp im)) (sqrt (exp im))) (sqrt (exp im)))) (* (* (sqrt (exp im)) (sqrt (exp im))) (sqrt (exp im))))
225.0ms	(- 0.5 (+ (* 0.25 (pow re 2)) (* 0.25 im)))

prune2.0s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize65.0ms

Local error

Found 4 expressions with local error:

0.7b	(* (cbrt (* (exp im) (* 0.5 (cos re)))) (cbrt (* (exp im) (* 0.5 (cos re)))))
0.3b	(cbrt (* (exp im) (* 0.5 (cos re))))
0.3b	(cbrt (* (exp im) (* 0.5 (cos re))))
0.3b	(cbrt (* (exp im) (* 0.5 (cos re))))

rewrite121.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`*-un-lft-identity` `add-cube-cbrt`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `swap-sqr` `associate-r` `associate-l` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 70

Calls

4 calls:

Slowest

64.0ms	(* (cbrt (* (exp im) (* 0.5 (cos re)))) (cbrt (* (exp im) (* 0.5 (cos re)))))
24.0ms	(cbrt (* (exp im) (* 0.5 (cos re))))
20.0ms	(cbrt (* (exp im) (* 0.5 (cos re))))
12.0ms	(cbrt (* (exp im) (* 0.5 (cos re))))

series732.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

247.0ms	(* (cbrt (* (exp im) (* 0.5 (cos re)))) (cbrt (* (exp im) (* 0.5 (cos re)))))
173.0ms	(cbrt (* (exp im) (* 0.5 (cos re))))
162.0ms	(cbrt (* (exp im) (* 0.5 (cos re))))
150.0ms	(cbrt (* (exp im) (* 0.5 (cos re))))

simplify6.0s

Counts

45 → 82

Calls

45 calls:

Slowest

830.0ms	(* (pow (* (exp im) (cos re)) 1/3) (cbrt 0.5))
536.0ms	(* (pow (* (exp im) (cos re)) 1/3) (cbrt 0.5))
533.0ms	(* (pow (* (exp im) (cos re)) 1/3) (cbrt 0.5))
489.0ms	(* (pow (* (exp im) (cos re)) 1/3) (cbrt 0.5))
486.0ms	(* (pow (* (exp im) (cos re)) 1/3) (cbrt 0.5))

prune976.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes113.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample8.1s

Algorithm

intervals

Results

3.1s	2910×	body	1280	valid
2.2s	2443×	body	640	valid
1.7s	8406×	body	80	valid
575.0ms	1283×	body	320	valid
169.0ms	613×	body	160	valid