Details

sample94.0ms

Algorithm

intervals

Results

32.0ms	42×	body	640	valid
25.0ms	37×	body	1280	valid
20.0ms	223×	body	80	valid
6.0ms	20×	body	320	valid
2.0ms	11×	body	160	valid

simplify4.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

4.0ms

(* (exp re) (sin im))

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

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

rewrite27.0ms

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

27.0ms

(* (exp re) (sin im))

series60.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

60.0ms

(* (exp re) (sin im))

simplify595.0ms

Counts

13 → 24

Calls

13 calls:

Slowest

299.0ms	(* (* (* (exp re) (exp re)) (exp re)) (* (* (sin im) (sin im)) (sin im)))
234.0ms	(+ (* 1/2 (* (pow re 2) im)) (+ (* re im) im))
7.0ms	(+ re (log (sin im)))
7.0ms	(* (exp re) (sin im))
7.0ms	(* (sin im) (exp re))

prune204.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (sin im))
0.6b	(cbrt (sin im))
0.6b	(cbrt (sin im))
0.5b	(* (cbrt (sin im)) (cbrt (sin im)))

rewrite26.0ms

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

17.0ms	(* (cbrt (sin im)) (cbrt (sin im)))
3.0ms	(cbrt (sin im))
3.0ms	(cbrt (sin im))
3.0ms	(cbrt (sin im))

series537.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

145.0ms	(* (cbrt (sin im)) (cbrt (sin im)))
135.0ms	(cbrt (sin im))
133.0ms	(cbrt (sin im))
124.0ms	(cbrt (sin im))

simplify1.5s

Counts

65 → 97

Calls

65 calls:

Slowest

300.0ms	(- (pow im 1/3) (+ (* 1/18 (pow (pow im 7) 1/3)) (* 1/3240 (pow (pow im 13) 1/3))))
255.0ms	(- (pow im 1/3) (+ (* 1/18 (pow (pow im 7) 1/3)) (* 1/3240 (pow (pow im 13) 1/3))))
253.0ms	(- (+ (* 1/405 (pow (pow im 14) 1/3)) (pow im 2/3)) (* 1/9 (pow (pow im 8) 1/3)))
243.0ms	(- (pow im 1/3) (+ (* 1/18 (pow (pow im 7) 1/3)) (* 1/3240 (pow (pow im 13) 1/3))))
60.0ms	(* (* (cbrt (cbrt (sin im))) (cbrt (cbrt (sin im)))) (* (cbrt (cbrt (sin im))) (cbrt (cbrt (sin im)))))

prune969.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (cbrt (sin im)))
0.6b	(cbrt (cbrt (sin im)))
0.6b	(cbrt (cbrt (sin im)))
0.6b	(cbrt (sin im))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

30×	`cbrt-prod`
11×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

4 → 65

Calls

4 calls:

Slowest

2.0ms	(cbrt (cbrt (sin im)))
1.0ms	(cbrt (cbrt (sin im)))
1.0ms	(cbrt (cbrt (sin im)))
1.0ms	(cbrt (sin im))

series557.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

177.0ms	(cbrt (cbrt (sin im)))
160.0ms	(cbrt (cbrt (sin im)))
119.0ms	(cbrt (cbrt (sin im)))
101.0ms	(cbrt (sin im))

simplify1.3s

Counts

33 → 77

Calls

33 calls:

Slowest

298.0ms	(- (pow im 1/3) (+ (* 1/18 (pow (pow im 7) 1/3)) (* 1/3240 (pow (pow im 13) 1/3))))
265.0ms	(- (pow im 1/9) (+ (* 13/29160 (pow (pow im 37) 1/9)) (* 1/54 (pow (pow im 19) 1/9))))
251.0ms	(- (pow im 1/9) (+ (* 13/29160 (pow (pow im 37) 1/9)) (* 1/54 (pow (pow im 19) 1/9))))
246.0ms	(- (pow im 1/9) (+ (* 13/29160 (pow (pow im 37) 1/9)) (* 1/54 (pow (pow im 19) 1/9))))
15.0ms	(pow (sin im) 1/9)

prune896.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes175.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample3.7s

Algorithm

intervals

Results

1.3s	1559×	body	1280	valid
795.0ms	6777×	body	80	valid
730.0ms	623×	body	320	valid
638.0ms	1190×	body	640	valid
71.0ms	322×	body	160	valid