Details

sample112.0ms

Algorithm

intervals

Results

42.0ms	46×	body	1280	valid
28.0ms	224×	body	80	valid
19.0ms	32×	body	640	valid
9.0ms	22×	body	320	valid
1.0ms	5×	body	160	valid

simplify9.0ms

Calls

1 calls:

Slowest

9.0ms

(* (exp re) (sin im))

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 1 expressions with local error:

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

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-sqr-sqrt` `pow1` `-un-lft-identity` `add-cbrt-cube` `associate-r` `associate-l*` `add-cube-cbrt`
2×	`add-exp-log`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `insert-posit16` `add-log-exp`

Calls

1 calls:

Slowest

9.0ms

(* (exp re) (sin im))

series80.0ms

Calls

1 calls:

Slowest

80.0ms

(* (exp re) (sin im))

simplify260.0ms

Calls

11 calls:

Slowest

119.0ms	(+ (* 1/2 (* (pow re 2) im)) (+ (* re im) im))
114.0ms	(* (* (* (exp re) (exp re)) (exp re)) (* (* (sin im) (sin im)) (sin im)))
5.0ms	(* (sin im) (exp re))
4.0ms	(* (sin im) (exp re))
3.0ms	(* (exp re) (sin im))

prune230.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

13.0b	(cbrt (* (* (* (exp re) (sin im)) (* (exp re) (sin im))) (* (exp re) (sin im))))
0.2b	(* (* (exp re) (sin im)) (* (exp re) (sin im)))
0.2b	(* (* (* (exp re) (sin im)) (* (exp re) (sin im))) (* (exp re) (sin im)))
0.0b	(* (exp re) (sin im))

rewrite144.0ms

Algorithm

rewrite-expression-head

Rules

140×	`pow1`
67×	`pow-prod-down`
59×	`add-cbrt-cube`
41×	`add-exp-log`
40×	`prod-exp` `cbrt-unprod`
30×	`pow-prod-up`
15×	`pow-plus`
6×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
5×	`associate-r` `associate-l`
4×	`pow2` `insert-posit16` `add-log-exp`
3×	`*-commutative`
2×	`pow3`
1×	`cbrt-prod` `pow1/3` `rem-cbrt-cube`

Calls

4 calls:

Slowest

58.0ms	(* (* (* (exp re) (sin im)) (* (exp re) (sin im))) (* (exp re) (sin im)))
52.0ms	(cbrt (* (* (* (exp re) (sin im)) (* (exp re) (sin im))) (* (exp re) (sin im))))
20.0ms	(* (* (exp re) (sin im)) (* (exp re) (sin im)))
10.0ms	(* (exp re) (sin im))

series237.0ms

Calls

4 calls:

Slowest

76.0ms	(* (* (* (exp re) (sin im)) (* (exp re) (sin im))) (* (exp re) (sin im)))
56.0ms	(* (* (exp re) (sin im)) (* (exp re) (sin im)))
56.0ms	(* (exp re) (sin im))
48.0ms	(cbrt (* (* (* (exp re) (sin im)) (* (exp re) (sin im))) (* (exp re) (sin im))))

simplify8.4s

Calls

114 calls:

Slowest

794.0ms	(* (* (* (* (* (exp re) (sin im)) (* (exp re) (sin im))) (* (* (exp re) (sin im)) (* (exp re) (sin im)))) (* (* (exp re) (sin im)) (* (exp re) (sin im)))) (* (* (* (exp re) (sin im)) (* (exp re) (sin im))) (* (exp re) (sin im))))
718.0ms	(* (* (* (* (* (exp re) (sin im)) (* (exp re) (sin im))) (* (exp re) (sin im))) (* (* (* (exp re) (sin im)) (* (exp re) (sin im))) (* (exp re) (sin im)))) (* (* (* (exp re) (sin im)) (* (exp re) (sin im))) (* (exp re) (sin im))))
567.0ms	(* (* (* (* (exp re) (exp re)) (exp re)) (* (* (sin im) (sin im)) (sin im))) (* (* (* (exp re) (exp re)) (exp re)) (* (* (sin im) (sin im)) (sin im))))
411.0ms	(+ (* 2 (* (pow re 2) (pow im 2))) (+ (pow im 2) (* 2 (* re (pow im 2)))))
294.0ms	(* (* (* (* (* (exp re) (sin im)) (* (exp re) (sin im))) (* (exp re) (sin im))) (* (* (* (exp re) (exp re)) (exp re)) (* (* (sin im) (sin im)) (sin im)))) (* (* (* (exp re) (sin im)) (* (exp re) (sin im))) (* (exp re) (sin im))))

prune1.2s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

13.0b	(cbrt (* (* (* (* (exp re) (sin im)) (* (exp re) (sin im))) (exp re)) (sin im)))
0.2b	(* (* (exp re) (sin im)) (* (exp re) (sin im)))
0.2b	(* (* (* (* (exp re) (sin im)) (* (exp re) (sin im))) (exp re)) (sin im))
0.0b	(* (exp re) (sin im))

rewrite301.0ms

Algorithm

rewrite-expression-head

Rules

58×	`pow1`
43×	`add-cbrt-cube`
33×	`pow-prod-down`
29×	`add-exp-log`
28×	`prod-exp` `cbrt-unprod`
7×	`add-sqr-sqrt` `-un-lft-identity` `associate-r*` `add-cube-cbrt`
5×	`associate-l`
4×	`pow-prod-up` `insert-posit16` `add-log-exp`
3×	`*-commutative`
2×	`pow-plus`
1×	`cbrt-prod` `pow2` `pow1/3`

Calls

4 calls:

Slowest

144.0ms	(* (* (* (* (exp re) (sin im)) (* (exp re) (sin im))) (exp re)) (sin im))
123.0ms	(cbrt (* (* (* (* (exp re) (sin im)) (* (exp re) (sin im))) (exp re)) (sin im)))
25.0ms	(* (* (exp re) (sin im)) (* (exp re) (sin im)))
7.0ms	(* (exp re) (sin im))

series207.0ms

Calls

4 calls:

Slowest

67.0ms	(* (* (* (* (exp re) (sin im)) (* (exp re) (sin im))) (exp re)) (sin im))
53.0ms	(cbrt (* (* (* (* (exp re) (sin im)) (* (exp re) (sin im))) (exp re)) (sin im)))
48.0ms	(* (* (exp re) (sin im)) (* (exp re) (sin im)))
39.0ms	(* (exp re) (sin im))

simplify5.6s

Calls

67 calls:

Slowest

593.0ms	(* (* (* (* (exp re) (exp re)) (exp re)) (* (* (sin im) (sin im)) (sin im))) (* (* (* (exp re) (exp re)) (exp re)) (* (* (sin im) (sin im)) (sin im))))
380.0ms	(* (* (* (* (* (* (exp re) (exp re)) (exp re)) (* (* (sin im) (sin im)) (sin im))) (* (* (* (exp re) (sin im)) (* (exp re) (sin im))) (* (exp re) (sin im)))) (* (* (exp re) (exp re)) (exp re))) (* (* (sin im) (sin im)) (sin im)))
357.0ms	(+ (* 2 (* (pow re 2) (pow im 2))) (+ (pow im 2) (* 2 (* re (pow im 2)))))
296.0ms	(* (* (* (* (* (* (exp re) (sin im)) (* (exp re) (sin im))) (* (exp re) (sin im))) (* (* (* (exp re) (exp re)) (exp re)) (* (* (sin im) (sin im)) (sin im)))) (* (* (exp re) (exp re)) (exp re))) (* (* (sin im) (sin im)) (sin im)))
260.0ms	(* (* (* (* (* (* (exp re) (sin im)) (* (exp re) (sin im))) (* (* (exp re) (sin im)) (* (exp re) (sin im)))) (* (* (exp re) (sin im)) (* (exp re) (sin im)))) (* (* (exp re) (exp re)) (exp re))) (* (* (sin im) (sin im)) (sin im)))

prune1.1s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (+ (* im (* 1/2 re)) im) re)

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

3×	`associate-l`
2×	`add-sqr-sqrt` `-un-lft-identity` `associate-l/` `add-cube-cbrt`
1×	`pow1` `flip3-+` `add-cbrt-cube` `add-exp-log` `*-commutative` `flip-+` `insert-posit16` `add-log-exp`

Calls

1 calls:

Slowest

7.0ms

(* (+ (* im (* 1/2 re)) im) re)

series35.0ms

Calls

1 calls:

Slowest

35.0ms

(* (+ (* im (* 1/2 re)) im) re)

simplify957.0ms

Calls

7 calls:

Slowest

384.0ms	(* (+ (pow (* im (* 1/2 re)) 3) (pow im 3)) re)
203.0ms	(* (- (* (* im (* 1/2 re)) (* im (* 1/2 re))) (* im im)) re)
112.0ms	(+ (* 1/2 (* (pow re 2) im)) (* re im))
103.0ms	(+ (* 1/2 (* (pow re 2) im)) (* re im))
84.0ms	(+ (* 1/2 (* (pow re 2) im)) (* re im))

prune152.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes193.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample3.5s

Algorithm

intervals

Results

1.6s	1523×	body	1280	valid
828.0ms	6901×	body	80	valid
621.0ms	1259×	body	640	valid
190.0ms	631×	body	320	valid
106.0ms	310×	body	160	valid