Details

sample121.0ms

Algorithm

intervals

Results

36.0ms	40×	body	640	valid
35.0ms	42×	body	1280	valid
27.0ms	237×	body	80	valid
8.0ms	19×	body	320	valid
1.0ms	5×	body	160	valid

simplify7.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

6.0ms

(* (exp re) (sin im))

prune10.0ms

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))

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×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `insert-posit16` `add-log-exp` `unswap-sqr`

Counts

1 → 19

Calls

1 calls:

Slowest

23.0ms

(* (exp re) (sin im))

series59.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

59.0ms

(* (exp re) (sin im))

simplify496.0ms

Counts

13 → 22

Calls

13 calls:

Slowest

286.0ms	(* (* (* (exp re) (exp re)) (exp re)) (* (* (sin im) (sin im)) (sin im)))
153.0ms	(+ (* 1/2 (* (pow re 2) im)) (+ (* re im) im))
10.0ms	(* (sqrt (exp re)) (sqrt (sin im)))
10.0ms	(* (sqrt (exp re)) (sqrt (sin im)))
5.0ms	(* (sin im) (exp re))

prune178.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
13×	`pow1` `*-un-lft-identity` `add-cube-cbrt` `sqrt-prod`
12×	`associate-l`
11×	`add-cbrt-cube` `add-exp-log`
8×	`sqrt-pow1`
6×	`exp-prod`
4×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `add-log-exp`
2×	`rem-sqrt-square` `pow1/2` `*-commutative` `unswap-sqr`

Counts

4 → 79

Calls

4 calls:

Slowest

58.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))
17.0ms	(* (sqrt (exp re)) (sin im))
2.0ms	(sqrt (exp re))
2.0ms	(sqrt (exp re))

series161.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

61.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))
59.0ms	(* (sqrt (exp re)) (sin im))
27.0ms	(sqrt (exp re))
13.0ms	(sqrt (exp re))

simplify1.5s

Counts

55 → 91

Calls

55 calls:

Slowest

296.0ms	(* (* (* (sqrt (exp re)) (sqrt (exp re))) (sqrt (exp re))) (* (* (* (sqrt (exp re)) (sin im)) (* (sqrt (exp re)) (sin im))) (* (sqrt (exp re)) (sin im))))
267.0ms	(* (* (* (sqrt (exp re)) (sqrt (exp re))) (sqrt (exp re))) (* (* (sin im) (sin im)) (sin im)))
251.0ms	(* (* (* (sqrt (exp re)) (sqrt (exp re))) (sqrt (exp re))) (* (* (* (sqrt (exp re)) (sqrt (exp re))) (sqrt (exp re))) (* (* (sin im) (sin im)) (sin im))))
163.0ms	(+ (* 1/8 (* (pow re 2) im)) (+ (* 1/2 (* re im)) im))
158.0ms	(+ (* 1/2 (* (pow re 2) im)) (+ (* re im) im))

prune924.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize45.0ms

Local error

Found 4 expressions with local error:

12.7b	(cbrt (* (sqrt (exp re)) (* (* (* (sin im) (sin im)) (sin im)) (exp re))))
0.3b	(* (sin im) (sin im))
0.2b	(* (* (sin im) (sin im)) (sin im))
0.0b	(* (sqrt (exp re)) (* (* (* (sin im) (sin im)) (sin im)) (exp re)))

rewrite533.0ms

Algorithm

rewrite-expression-head

Rules

44×	`pow1`
25×	`add-cbrt-cube`
22×	`add-exp-log`
14×	`add-sqr-sqrt` `pow-prod-down` `prod-exp` `cbrt-unprod`
11×	`*-un-lft-identity` `add-cube-cbrt`
10×	`associate-l`
7×	`pow-plus` `associate-r` `pow-prod-up`
5×	`associate-*l/`
4×	`insert-posit16` `sin-mult` `add-log-exp`
3×	`pow2` `swap-sqr` `pow-sqr` `*-commutative` `sqrt-prod`
2×	`associate-*r/` `unswap-sqr`
1×	`cbrt-prod` `cbrt-div` `pow1/3` `pow3` `sqr-sin`

Counts

4 → 98

Calls

4 calls:

Slowest

252.0ms	(cbrt (* (sqrt (exp re)) (* (* (* (sin im) (sin im)) (sin im)) (exp re))))
204.0ms	(* (sqrt (exp re)) (* (* (* (sin im) (sin im)) (sin im)) (exp re)))
53.0ms	(* (* (sin im) (sin im)) (sin im))
22.0ms	(* (sin im) (sin im))

series275.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

124.0ms	(* (sqrt (exp re)) (* (* (* (sin im) (sin im)) (sin im)) (exp re)))
60.0ms	(cbrt (* (sqrt (exp re)) (* (* (* (sin im) (sin im)) (sin im)) (exp re))))
52.0ms	(* (* (sin im) (sin im)) (sin im))
38.0ms	(* (sin im) (sin im))

simplify5.3s

Counts

81 → 110

Calls

81 calls:

Slowest

519.0ms	(* (* (* (* (sin im) (sin im)) (* (sin im) (sin im))) (* (sin im) (sin im))) (* (* (sin im) (sin im)) (sin im)))
395.0ms	(* (* (* (* (sin im) (sin im)) (sin im)) (* (* (sin im) (sin im)) (sin im))) (* (* (sin im) (sin im)) (sin im)))
350.0ms	(* (* (* (sqrt (exp re)) (sqrt (exp re))) (sqrt (exp re))) (* (* (* (* (* (sin im) (sin im)) (sin im)) (exp re)) (* (* (* (sin im) (sin im)) (sin im)) (exp re))) (* (* (* (sin im) (sin im)) (sin im)) (exp re))))
307.0ms	(* (* (* (sqrt (exp re)) (sqrt (exp re))) (sqrt (exp re))) (* (* (* (* (* (sin im) (sin im)) (* (sin im) (sin im))) (* (sin im) (sin im))) (* (* (sin im) (sin im)) (sin im))) (* (* (exp re) (exp re)) (exp re))))
288.0ms	(+ (pow im 3) (+ (* 3/2 (* re (pow im 3))) (* 9/8 (* (pow re 2) (pow im 3)))))

prune1.2s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

11.1b	(* (sqrt (exp re)) (+ im (* (* (+ 1/2 (* 1/8 re)) im) re)))
0.1b	(* (* (+ 1/2 (* 1/8 re)) im) re)
0.0b	(* (+ 1/2 (* 1/8 re)) im)
0.0b	(sqrt (exp re))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
14×	`pow1`
13×	`add-cbrt-cube` `add-exp-log`
12×	`*-un-lft-identity` `add-cube-cbrt`
10×	`associate-l`
9×	`associate-r`
7×	`sqrt-prod`
6×	`associate-*l/`
5×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`sqrt-pow1` `insert-posit16` `add-log-exp`
3×	`exp-prod` `flip3-+` `*-commutative` `flip-+` `unswap-sqr`
2×	`associate-*r/`
1×	`distribute-rgt-in` `rem-sqrt-square` `distribute-lft-in` `pow1/2`

Counts

4 → 86

Calls

4 calls:

Slowest

22.0ms	(* (* (+ 1/2 (* 1/8 re)) im) re)
17.0ms	(* (sqrt (exp re)) (+ im (* (* (+ 1/2 (* 1/8 re)) im) re)))
12.0ms	(* (+ 1/2 (* 1/8 re)) im)
2.0ms	(sqrt (exp re))

series208.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

73.0ms	(* (* (+ 1/2 (* 1/8 re)) im) re)
57.0ms	(* (sqrt (exp re)) (+ im (* (* (+ 1/2 (* 1/8 re)) im) re)))
55.0ms	(* (+ 1/2 (* 1/8 re)) im)
23.0ms	(sqrt (exp re))

simplify6.3s

Counts

61 → 98

Calls

61 calls:

Slowest

557.0ms	(* (+ (pow 1/2 3) (pow (* 1/8 re) 3)) im)
386.0ms	(* (* (* (sqrt (exp re)) (sqrt (exp re))) (sqrt (exp re))) (* (* (+ im (* (* (+ 1/2 (* 1/8 re)) im) re)) (+ im (* (* (+ 1/2 (* 1/8 re)) im) re))) (+ im (* (* (+ 1/2 (* 1/8 re)) im) re))))
289.0ms	(* (* (+ (pow 1/2 3) (pow (* 1/8 re) 3)) im) re)
274.0ms	(- im (* (* (+ 1/2 (* 1/8 re)) im) re))
265.0ms	(* (* (* (* (+ 1/2 (* 1/8 re)) im) (* (+ 1/2 (* 1/8 re)) im)) (* (+ 1/2 (* 1/8 re)) im)) (* (* re re) re))

prune1.1s

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes252.0ms

Accuracy

0% (0.0b remaining)

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

bsearch2.0ms

end0.0ms

sample3.5s

Algorithm

intervals

Results

1.6s	1512×	body	1280	valid
787.0ms	6986×	body	80	valid
610.0ms	1252×	body	640	valid
258.0ms	629×	body	320	valid
88.0ms	303×	body	160	valid