Details

sample105.0ms

Algorithm

intervals

Results

33.0ms	43×	body	1280	valid
25.0ms	230×	body	80	valid
24.0ms	43×	body	640	valid
10.0ms	28×	body	320	valid
2.0ms	7×	body	160	valid

simplify5.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

5.0ms

(* (exp re) (sin im))

prune7.0ms

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))

rewrite36.0ms

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

35.0ms

(* (exp re) (sin im))

series58.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

58.0ms

(* (exp re) (sin im))

simplify560.0ms

Counts

13 → 22

Calls

13 calls:

Slowest

344.0ms	(* (* (* (exp re) (exp re)) (exp re)) (* (* (sin im) (sin im)) (sin im)))
136.0ms	(+ (* 1/2 (* (pow re 2) im)) (+ (* re im) im))
15.0ms	(* (sqrt (exp re)) (sqrt (sin im)))
11.0ms	(* (sqrt (exp re)) (sqrt (sin im)))
8.0ms	(* (exp re) (sin im))

prune203.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

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

rewrite92.0ms

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)))
27.0ms	(* (sqrt (exp re)) (sin im))
3.0ms	(sqrt (exp re))
2.0ms	(sqrt (exp re))

series175.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

82.0ms	(* (sqrt (exp re)) (sin im))
61.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))
18.0ms	(sqrt (exp re))
13.0ms	(sqrt (exp re))

simplify2.1s

Counts

55 → 91

Calls

55 calls:

Slowest

760.0ms	(* (* (* (sqrt (exp re)) (sqrt (exp re))) (sqrt (exp re))) (* (* (* (sqrt (exp re)) (sin im)) (* (sqrt (exp re)) (sin im))) (* (sqrt (exp re)) (sin im))))
317.0ms	(* (* (* (sqrt (exp re)) (sqrt (exp re))) (sqrt (exp re))) (* (* (sin im) (sin im)) (sin im)))
283.0ms	(* (* (* (sqrt (exp re)) (sqrt (exp re))) (sqrt (exp re))) (* (* (* (sqrt (exp re)) (sqrt (exp re))) (sqrt (exp re))) (* (* (sin im) (sin im)) (sin im))))
171.0ms	(+ (* 1/8 (* (pow re 2) im)) (+ (* 1/2 (* re im)) im))
144.0ms	(+ (* 1/2 (* (pow re 2) im)) (+ (* re im) im))

prune909.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize29.0ms

Local error

Found 3 expressions with local error:

2.4b	(* im (+ (* (* re re) 1/2) re))
0.0b	(* (* re re) 1/2)
0.0b	(+ (* (* re re) 1/2) re)

rewrite133.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 55

Calls

3 calls:

Slowest

83.0ms	(* im (+ (* (* re re) 1/2) re))
31.0ms	(+ (* (* re re) 1/2) re)
18.0ms	(* (* re re) 1/2)

series245.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

100.0ms	(* im (+ (* (* re re) 1/2) re))
97.0ms	(+ (* (* re re) 1/2) re)
47.0ms	(* (* re re) 1/2)

simplify2.6s

Counts

34 → 64

Calls

34 calls:

Slowest

444.0ms	(+ (* (* (* re re) 1/2) (* (* re re) 1/2)) (- (* re re) (* (* (* re re) 1/2) re)))
283.0ms	(* (exp (* (* re re) 1/2)) (exp re))
283.0ms	(* (* (* im im) im) (* (* (+ (* (* re re) 1/2) re) (+ (* (* re re) 1/2) re)) (+ (* (* re re) 1/2) re)))
279.0ms	(* (* (* (* re re) (* re re)) (* re re)) (* (* 1/2 1/2) 1/2))
271.0ms	(* (* (* (* re re) re) (* (* re re) re)) (* (* 1/2 1/2) 1/2))

prune453.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes185.0ms

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	1459×	body	1280	valid
995.0ms	1252×	body	640	valid
857.0ms	7012×	body	80	valid
225.0ms	601×	body	320	valid
87.0ms	299×	body	160	valid