Details

sample116.0ms

Algorithm

intervals

Results

37.0ms	48×	body	1280	valid
24.0ms	46×	body	640	valid
21.0ms	204×	body	80	valid
18.0ms	14×	body	320	valid
1.0ms	7×	body	160	valid

simplify7.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

7.0ms

(* (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))

rewrite14.0ms

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

13.0ms

(* (exp re) (sin im))

series76.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

76.0ms

(* (exp re) (sin im))

simplify598.0ms

Counts

13 → 22

Calls

13 calls:

Slowest

369.0ms	(* (* (* (exp re) (exp re)) (exp re)) (* (* (sin im) (sin im)) (sin im)))
165.0ms	(+ (* 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)))
7.0ms	(* (sin im) (exp re))

prune225.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.2b	(sqrt (exp re))
0.2b	(sqrt (exp re))
0.0b	(* (sqrt (exp re)) (sin im))
0.0b	(* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))

rewrite66.0ms

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

43.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))
13.0ms	(* (sqrt (exp re)) (sin im))
6.0ms	(sqrt (exp re))
4.0ms	(sqrt (exp re))

series157.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

65.0ms	(* (sqrt (exp re)) (sin im))
49.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))
26.0ms	(sqrt (exp re))
16.0ms	(sqrt (exp re))

simplify1.6s

Counts

55 → 91

Calls

55 calls:

Slowest

331.0ms	(* (* (* (sqrt (exp re)) (sqrt (exp re))) (sqrt (exp re))) (* (* (* (sqrt (exp re)) (sin im)) (* (sqrt (exp re)) (sin im))) (* (sqrt (exp re)) (sin im))))
304.0ms	(* (* (* (sqrt (exp re)) (sqrt (exp re))) (sqrt (exp re))) (* (* (sin im) (sin im)) (sin im)))
209.0ms	(* (* (* (sqrt (exp re)) (sqrt (exp re))) (sqrt (exp re))) (* (* (* (sqrt (exp re)) (sqrt (exp re))) (sqrt (exp re))) (* (* (sin im) (sin im)) (sin im))))
145.0ms	(+ (* 1/2 (* (pow re 2) im)) (+ (* re im) im))
139.0ms	(+ (* 1/8 (* (pow re 2) im)) (+ (* 1/2 (* re im)) im))

prune817.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (* (* (sqrt (exp re)) (sqrt (exp re))) (sqrt (exp re))))
0.2b	(sqrt (exp re))
0.2b	(sqrt (exp re))
0.2b	(sqrt (exp re))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
12×	`sqrt-pow1`
10×	`*-un-lft-identity` `add-cube-cbrt`
9×	`exp-prod` `sqrt-prod`
7×	`pow1`
4×	`add-cbrt-cube` `add-exp-log` `insert-posit16` `add-log-exp`
3×	`rem-sqrt-square` `pow1/2`
1×	`cbrt-prod` `pow1/3` `pow3` `rem-cbrt-cube`

Counts

4 → 62

Calls

4 calls:

Slowest

51.0ms	(cbrt (* (* (sqrt (exp re)) (sqrt (exp re))) (sqrt (exp re))))
2.0ms	(sqrt (exp re))
2.0ms	(sqrt (exp re))
2.0ms	(sqrt (exp re))

series69.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

25.0ms	(cbrt (* (* (sqrt (exp re)) (sqrt (exp re))) (sqrt (exp re))))
17.0ms	(sqrt (exp re))
14.0ms	(sqrt (exp re))
13.0ms	(sqrt (exp re))

simplify431.0ms

Counts

38 → 74

Calls

38 calls:

Slowest

84.0ms	(+ (* 1/2 re) (+ (* 1/8 (pow re 2)) 1))
81.0ms	(+ (* 1/2 re) (+ (* 1/8 (pow re 2)) 1))
60.0ms	(+ (* 1/2 re) (+ (* 1/8 (pow re 2)) 1))
56.0ms	(+ (* 1/2 re) (+ (* 1/8 (pow re 2)) 1))
16.0ms	(exp (* (cbrt re) (cbrt re)))

prune979.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

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

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
12×	`*-un-lft-identity` `add-cube-cbrt`
11×	`sqrt-prod`
10×	`cbrt-prod`
9×	`associate-l`
7×	`pow1`
6×	`add-cbrt-cube` `add-exp-log`
4×	`sqrt-pow1` `insert-posit16` `add-log-exp`
3×	`exp-prod` `associate-r` `unswap-sqr`
2×	`pow1/3`
1×	`rem-sqrt-square` `pow1/2` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 68

Calls

4 calls:

Slowest

26.0ms	(* (sqrt (cbrt (exp re))) (sin im))
4.0ms	(sqrt (exp re))
4.0ms	(cbrt (exp re))
3.0ms	(cbrt (exp re))

series382.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

151.0ms	(cbrt (exp re))
104.0ms	(cbrt (exp re))
102.0ms	(* (sqrt (cbrt (exp re))) (sin im))
25.0ms	(sqrt (exp re))

simplify1.2s

Counts

46 → 80

Calls

46 calls:

Slowest

400.0ms	(* (* (* (sqrt (cbrt (exp re))) (sqrt (cbrt (exp re)))) (sqrt (cbrt (exp re)))) (* (* (sin im) (sin im)) (sin im)))
176.0ms	(+ (* 1/72 (* (pow re 2) im)) (+ (* 1/6 (* re im)) im))
88.0ms	(* (sin im) (exp (* 1/6 re)))
73.0ms	(+ (* 1/3 re) (+ (* 1/18 (pow re 2)) 1))
61.0ms	(* (sin im) (exp (* 1/6 re)))

prune1.1s

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes219.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample3.6s

Algorithm

intervals

Results

1.2s	6899×	body	80	valid
1.2s	1547×	body	1280	valid
697.0ms	1252×	body	640	valid
179.0ms	618×	body	320	valid
101.0ms	299×	body	160	valid