Details

sample114.0ms

Algorithm

intervals

Results

36.0ms	47×	body	1280	valid
23.0ms	218×	body	80	valid
22.0ms	41×	body	640	valid
11.0ms	3×	body	160	valid
8.0ms	21×	body	320	valid

simplify4.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

4.0ms

(* (exp re) (cos im))

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt`
3×	`pow1` `-un-lft-identity` `add-cbrt-cube` `associate-r` `associate-l*` `add-cube-cbrt`
2×	`add-exp-log`
1×	`expm1-log1p-u` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

1 → 21

Calls

1 calls:

Slowest

23.0ms

(* (exp re) (cos im))

series85.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

85.0ms

(* (exp re) (cos im))

simplify446.0ms

Counts

13 → 24

Calls

13 calls:

Slowest

302.0ms	(* (* (* (exp re) (exp re)) (exp re)) (* (* (cos im) (cos im)) (cos im)))
76.0ms	(+ re (+ (* 1/2 (pow re 2)) 1))
11.0ms	(* (sqrt (exp re)) (sqrt (cos im)))
11.0ms	(* (sqrt (exp re)) (sqrt (cos im)))
8.0ms	(* (exp re) (cos im))

prune200.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.4b	(cbrt (cos im))
0.4b	(cbrt (cos im))
0.4b	(cbrt (cos im))
0.3b	(* (cbrt (cos im)) (cbrt (cos im)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 85

Calls

4 calls:

Slowest

12.0ms	(* (cbrt (cos im)) (cbrt (cos im)))
2.0ms	(cbrt (cos im))
2.0ms	(cbrt (cos im))
2.0ms	(cbrt (cos im))

series1.1s

Counts

4 → 12

Calls

4 calls:

Slowest

570.0ms	(cbrt (cos im))
265.0ms	(* (cbrt (cos im)) (cbrt (cos im)))
141.0ms	(cbrt (cos im))
139.0ms	(cbrt (cos im))

simplify1.4s

Counts

65 → 97

Calls

65 calls:

Slowest

266.0ms	(- 1 (+ (* 1/6 (pow im 2)) (* 1/72 (pow im 4))))
213.0ms	(- 1 (+ (* 1/6 (pow im 2)) (* 1/72 (pow im 4))))
191.0ms	(- 1 (+ (* 1/6 (pow im 2)) (* 1/72 (pow im 4))))
156.0ms	(- 1 (+ (* 1/3 (pow im 2)) (* 1/405 (pow im 6))))
73.0ms	(* (* (cbrt (cbrt (cos im))) (cbrt (cbrt (cos im)))) (* (cbrt (cbrt (cos im))) (cbrt (cbrt (cos im)))))

prune1.1s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize27.0ms

Local error

Found 3 expressions with local error:

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

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`pow1` `*-un-lft-identity` `add-cube-cbrt` `add-log-exp`
5×	`add-cbrt-cube`
4×	`add-exp-log`
3×	`expm1-log1p-u` `log-prod` `associate-r` `associate-l` `log-pow` `insert-posit16` `log1p-expm1-u`
2×	`exp-prod` `exp-to-pow`
1×	`rem-log-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr` `rem-exp-log`

Counts

3 → 51

Calls

3 calls:

Slowest

12.0ms	(* (exp re) (cos im))
7.0ms	(exp (* (exp re) (cos im)))
7.0ms	(log (exp (* (exp re) (cos im))))

series173.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

65.0ms	(* (exp re) (cos im))
55.0ms	(exp (* (exp re) (cos im)))
53.0ms	(log (exp (* (exp re) (cos im))))

simplify964.0ms

Counts

28 → 60

Calls

28 calls:

Slowest

316.0ms	(* (* (* (exp re) (exp re)) (exp re)) (* (* (cos im) (cos im)) (cos im)))
140.0ms	(log (* (cbrt (exp (* (exp re) (cos im)))) (cbrt (exp (* (exp re) (cos im))))))
103.0ms	(+ (* (pow re 2) E) (+ (* re E) E))
95.0ms	(+ re (+ (* 1/2 (pow re 2)) 1))
93.0ms	(log (sqrt (exp (* (exp re) (cos im)))))

prune624.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes248.0ms

Accuracy

0% (0.0b remaining)

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

bsearch2.0ms

end0.0ms

sample3.4s

Algorithm

intervals

Results

1.1s	1491×	body	1280	valid
1.1s	1315×	body	640	valid
701.0ms	6969×	body	80	valid
164.0ms	590×	body	320	valid
56.0ms	289×	body	160	valid