Details

sample74.0ms

Algorithm

intervals

Results

24.0ms	43×	body	1280	valid
18.0ms	225×	body	80	valid
16.0ms	37×	body	640	valid
7.0ms	25×	body	320	valid
1.0ms	7×	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))

rewrite46.0ms

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

45.0ms

(* (exp re) (sin im))

series72.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

72.0ms

(* (exp re) (sin im))

simplify565.0ms

Counts

13 → 24

Calls

13 calls:

Slowest

321.0ms	(* (* (* (exp re) (exp re)) (exp re)) (* (* (sin im) (sin im)) (sin im)))
197.0ms	(+ (* 1/2 (* (pow re 2) im)) (+ (* re im) im))
8.0ms	(* (sqrt (exp re)) (sqrt (sin im)))
7.0ms	(* (exp re) (sin im))
7.0ms	(+ re (log (sin im)))

prune196.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 3 expressions with local error:

0.2b	(log1p (* (exp re) (sin im)))
0.1b	(expm1 (log1p (* (exp re) (sin im))))
0.0b	(* (exp re) (sin im))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt`
5×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-cube-cbrt`
4×	`expm1-log1p-u` `add-exp-log`
3×	`associate-r` `associate-l` `insert-posit16` `log1p-expm1-u` `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

17.0ms	(* (exp re) (sin im))
1.0ms	(log1p (* (exp re) (sin im)))
0.0ms	(expm1 (log1p (* (exp re) (sin im))))

series196.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

83.0ms	(log1p (* (exp re) (sin im)))
73.0ms	(expm1 (log1p (* (exp re) (sin im))))
39.0ms	(* (exp re) (sin im))

simplify1.1s

Counts

21 → 54

Calls

21 calls:

Slowest

332.0ms	(* (* (* (exp re) (exp re)) (exp re)) (* (* (sin im) (sin im)) (sin im)))
219.0ms	(+ (* 1/2 (* (pow re 2) im)) (+ (* re im) im))
219.0ms	(+ (* 1/2 (* (pow re 2) im)) (+ (* re im) im))
193.0ms	(- (+ (* re im) im) (* 1/2 (pow im 2)))
13.0ms	(log (+ 1 (* (sin im) (exp re))))

prune657.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize50.0ms

Local error

Found 4 expressions with local error:

13.6b	(cbrt (* (* (log1p (* (exp re) (sin im))) (log1p (* (exp re) (sin im)))) (log1p (* (exp re) (sin im)))))
0.2b	(log1p (* (exp re) (sin im)))
0.2b	(log1p (* (exp re) (sin im)))
0.2b	(log1p (* (exp re) (sin im)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

7×	`expm1-log1p-u`
4×	`add-sqr-sqrt` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`log1p-udef` `log1p-expm1`
1×	`cbrt-prod` `pow1/3` `pow3` `rem-cbrt-cube`

Counts

4 → 49

Calls

4 calls:

Slowest

21.0ms	(cbrt (* (* (log1p (* (exp re) (sin im))) (log1p (* (exp re) (sin im)))) (log1p (* (exp re) (sin im)))))
1.0ms	(log1p (* (exp re) (sin im)))
1.0ms	(log1p (* (exp re) (sin im)))
1.0ms	(log1p (* (exp re) (sin im)))

series341.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

103.0ms	(cbrt (* (* (log1p (* (exp re) (sin im))) (log1p (* (exp re) (sin im)))) (log1p (* (exp re) (sin im)))))
88.0ms	(log1p (* (exp re) (sin im)))
84.0ms	(log1p (* (exp re) (sin im)))
66.0ms	(log1p (* (exp re) (sin im)))

simplify922.0ms

Counts

17 → 61

Calls

17 calls:

Slowest

230.0ms	(- (+ (* re im) im) (* 1/2 (pow im 2)))
201.0ms	(- (+ (* re im) im) (* 1/2 (pow im 2)))
167.0ms	(- (+ (* re im) im) (* 1/2 (pow im 2)))
141.0ms	(- (+ (* re im) im) (* 1/2 (pow im 2)))
27.0ms	(log (+ 1 (* (sin im) (exp re))))

prune711.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize20.0ms

Local error

Found 2 expressions with local error:

2.6b	(fma (fma 1/2 (* re re) re) im im)
0.0b	(fma 1/2 (* re re) re)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 22

Calls

2 calls:

Slowest

1.0ms	(fma (fma 1/2 (* re re) re) im im)
0.0ms	(fma 1/2 (* re re) re)

series113.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

72.0ms	(fma 1/2 (* re re) re)
41.0ms	(fma (fma 1/2 (* re re) re) im im)

simplify767.0ms

Counts

6 → 28

Calls

6 calls:

Slowest

247.0ms	(+ (* 1/2 (* (pow re 2) im)) (+ (* re im) im))
221.0ms	(+ (* 1/2 (* (pow re 2) im)) (+ (* re im) im))
197.0ms	(+ (* 1/2 (* (pow re 2) im)) (+ (* re im) im))
38.0ms	(+ re (* 1/2 (pow re 2)))
34.0ms	(+ re (* 1/2 (pow re 2)))

prune247.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes210.0ms

Accuracy

0% (0.0b remaining)

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

bsearch2.0ms

end0.0ms

sample3.7s

Algorithm

intervals

Results

1.2s	1456×	body	1280	valid
1.2s	6936×	body	80	valid
825.0ms	1256×	body	640	valid
213.0ms	664×	body	320	valid
72.0ms	333×	body	160	valid