Details

sample90.0ms

Algorithm

intervals

Results

30.0ms	43×	body	1280	valid
21.0ms	232×	body	80	valid
19.0ms	43×	body	640	valid
6.0ms	22×	body	320	valid
1.0ms	5×	body	160	valid

simplify8.0ms

Calls

1 calls:

Slowest

8.0ms

(* (exp re) (sin im))

prune51.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 1 expressions with local error:

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

rewrite8.0ms

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

8.0ms

(* (exp re) (sin im))

series60.0ms

Calls

1 calls:

Slowest

60.0ms

(* (exp re) (sin im))

simplify291.0ms

Calls

11 calls:

Slowest

135.0ms	(+ (* 1/2 (* (pow re 2) im)) (+ (* re im) im))
109.0ms	(* (* (* (exp re) (exp re)) (exp re)) (* (* (sin im) (sin im)) (sin im)))
7.0ms	(* (sin im) (exp re))
7.0ms	(* (sin im) (exp re))
6.0ms	(* (cbrt (exp re)) (cbrt (exp re)))

prune162.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

12×	`associate-l`
9×	`pow1` `add-cbrt-cube` `add-exp-log`
7×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
6×	`sqrt-prod`
4×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`*-commutative` `insert-posit16` `add-log-exp`

Calls

2 calls:

Slowest

20.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))
11.0ms	(* (sqrt (exp re)) (sin im))

series94.0ms

Calls

2 calls:

Slowest

52.0ms	(* (sqrt (exp re)) (sin im))
41.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))

simplify1.1s

Calls

29 calls:

Slowest

301.0ms	(* (* (* (sqrt (exp re)) (sqrt (exp re))) (sqrt (exp re))) (* (* (* (sqrt (exp re)) (sqrt (exp re))) (sqrt (exp re))) (* (* (sin im) (sin im)) (sin im))))
261.0ms	(* (* (* (sqrt (exp re)) (sqrt (exp re))) (sqrt (exp re))) (* (* (* (sqrt (exp re)) (sin im)) (* (sqrt (exp re)) (sin im))) (* (sqrt (exp re)) (sin im))))
213.0ms	(+ (* 1/8 (* (pow re 2) im)) (+ (* 1/2 (* re im)) im))
119.0ms	(+ (* 1/2 (* (pow re 2) im)) (+ (* re im) im))
115.0ms	(* (* (* (sqrt (exp re)) (sqrt (exp re))) (sqrt (exp re))) (* (* (sin im) (sin im)) (sin im)))

prune489.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 3 expressions with local error:

0.1b	(* (+ (* im (* 1/2 re)) im) re)
0.0b	(+ im (* (+ (* im (* 1/2 re)) im) re))
0.0b	(+ (* im (* 1/2 re)) im)

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

3 calls:

Slowest

13.0ms	(* (+ (* im (* 1/2 re)) im) re)
5.0ms	(+ (* im (* 1/2 re)) im)
4.0ms	(+ im (* (+ (* im (* 1/2 re)) im) re))

series254.0ms

Calls

3 calls:

Slowest

116.0ms	(* (+ (* im (* 1/2 re)) im) re)
76.0ms	(+ im (* (+ (* im (* 1/2 re)) im) re))
62.0ms	(+ (* im (* 1/2 re)) im)

simplify1.5s

Calls

13 calls:

Slowest

403.0ms	(* (+ (pow (* im (* 1/2 re)) 3) (pow im 3)) re)
184.0ms	(* (- (* (* im (* 1/2 re)) (* im (* 1/2 re))) (* im im)) re)
155.0ms	(+ (* 1/2 (* (pow re 2) im)) (+ (* re im) im))
136.0ms	(+ (* 1/2 (* (pow re 2) im)) (+ (* re im) im))
129.0ms	(+ (* 1/2 (* (pow re 2) im)) (+ (* re im) im))

prune303.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes180.0ms

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

1.1s	6909×	body	80	valid
1.1s	1513×	body	1280	valid
738.0ms	1271×	body	640	valid
236.0ms	627×	body	320	valid
105.0ms	312×	body	160	valid