Details

sample120.0ms

Algorithm

intervals

Results

42.0ms	47×	body	1280	valid
27.0ms	218×	body	80	valid
25.0ms	42×	body	640	valid
8.0ms	20×	body	320	valid
1.0ms	3×	body	160	valid

simplify7.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

7.0ms

(* (exp re) (sin im))

prune29.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 1 expressions with local error:

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

rewrite25.0ms

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

25.0ms

(* (exp re) (sin im))

series68.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

68.0ms

(* (exp re) (sin im))

simplify618.0ms

Counts

13 → 24

Calls

13 calls:

Slowest

335.0ms	(* (* (* (exp re) (exp re)) (exp re)) (* (* (sin im) (sin im)) (sin im)))
228.0ms	(+ (* 1/2 (* (pow re 2) im)) (+ (* re im) im))
10.0ms	(* (sqrt (exp re)) (sqrt (sin im)))
7.0ms	(* (exp re) (sin im))
7.0ms	(* (sqrt (exp re)) (sqrt (sin im)))

prune241.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize30.0ms

Local error

Found 3 expressions with local error:

0.1b	(log1p (expm1 (* (exp re) (sin im))))
0.1b	(expm1 (* (exp re) (sin im)))
0.0b	(* (exp re) (sin im))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 45

Calls

3 calls:

Slowest

18.0ms	(* (exp re) (sin im))
1.0ms	(expm1 (* (exp re) (sin im)))
1.0ms	(log1p (expm1 (* (exp re) (sin im))))

series229.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

98.0ms	(log1p (expm1 (* (exp re) (sin im))))
80.0ms	(expm1 (* (exp re) (sin im)))
51.0ms	(* (exp re) (sin im))

simplify1.4s

Counts

21 → 54

Calls

21 calls:

Slowest

382.0ms	(* (* (* (exp re) (exp re)) (exp re)) (* (* (sin im) (sin im)) (sin im)))
259.0ms	(+ (* 1/2 (* (pow re 2) im)) (+ (* re im) im))
194.0ms	(+ (* 1/2 (* (pow re 2) im)) (+ (* re im) im))
182.0ms	(- (exp (* (sin im) (exp re))) 1)
165.0ms	(- (exp (* (sin im) (exp re))) 1)

prune624.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.1b	(log1p (log1p (expm1 (expm1 (* (exp re) (sin im))))))
0.1b	(expm1 (expm1 (* (exp re) (sin im))))
0.1b	(log1p (expm1 (expm1 (* (exp re) (sin im)))))
0.1b	(expm1 (* (exp re) (sin im)))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

6×	`log1p-expm1-u`
5×	`expm1-log1p-u`
4×	`add-sqr-sqrt` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16` `add-log-exp`
2×	`log1p-udef` `expm1-log1p` `log1p-expm1` `expm1-udef`

Counts

4 → 48

Calls

4 calls:

Slowest

6.0ms	(expm1 (expm1 (* (exp re) (sin im))))
1.0ms	(log1p (log1p (expm1 (expm1 (* (exp re) (sin im))))))
1.0ms	(expm1 (* (exp re) (sin im)))
0.0ms	(log1p (expm1 (expm1 (* (exp re) (sin im)))))

series487.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

159.0ms	(log1p (log1p (expm1 (expm1 (* (exp re) (sin im))))))
126.0ms	(expm1 (expm1 (* (exp re) (sin im))))
118.0ms	(log1p (expm1 (expm1 (* (exp re) (sin im)))))
83.0ms	(expm1 (* (exp re) (sin im)))

simplify1.9s

Counts

16 → 60

Calls

16 calls:

Slowest

274.0ms	(- (exp (- (exp (* (sin im) (exp re))) 1)) 1)
231.0ms	(- (exp (- (exp (* (sin im) (exp re))) 1)) 1)
217.0ms	(+ (* 1/2 (* (pow re 2) im)) (+ (* re im) im))
209.0ms	(- (exp (* (sin im) (exp re))) 1)
192.0ms	(- (exp (* (sin im) (exp re))) 1)

prune728.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes196.0ms

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

1.4s	1487×	body	1280	valid
852.0ms	6965×	body	80	valid
795.0ms	1321×	body	640	valid
208.0ms	584×	body	320	valid
87.0ms	295×	body	160	valid