Details

sample85.0ms

Algorithm

intervals

Results

31.0ms	52×	body	1280	valid
18.0ms	200×	body	80	valid
15.0ms	37×	body	640	valid
9.0ms	36×	body	320	valid
2.0ms	10×	body	160	valid

simplify4.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

4.0ms

(* (exp re) (sin im))

prune20.0ms

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))

rewrite16.0ms

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

15.0ms

(* (exp re) (sin im))

series57.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

57.0ms

(* (exp re) (sin im))

simplify537.0ms

Counts

13 → 24

Calls

13 calls:

Slowest

304.0ms	(* (* (* (exp re) (exp re)) (exp re)) (* (* (sin im) (sin im)) (sin im)))
189.0ms	(+ (* 1/2 (* (pow re 2) im)) (+ (* re im) im))
6.0ms	(* (cbrt (exp re)) (cbrt (exp re)))
6.0ms	(* (sqrt (exp re)) (sqrt (sin im)))
5.0ms	(* (sqrt (exp re)) (sqrt (sin im)))

prune183.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

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))

rewrite28.0ms

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

26.0ms	(* (exp re) (sin im))
1.0ms	(expm1 (* (exp re) (sin im)))
1.0ms	(log1p (expm1 (* (exp re) (sin im))))

series239.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

99.0ms	(log1p (expm1 (* (exp re) (sin im))))
75.0ms	(expm1 (* (exp re) (sin im)))
65.0ms	(* (exp re) (sin im))

simplify1.4s

Counts

21 → 54

Calls

21 calls:

Slowest

345.0ms	(* (* (* (exp re) (exp re)) (exp re)) (* (* (sin im) (sin im)) (sin im)))
225.0ms	(+ (* 1/2 (* (pow re 2) im)) (+ (* re im) im))
212.0ms	(+ (* 1/2 (* (pow re 2) im)) (+ (* re im) im))
199.0ms	(- (exp (* (sin im) (exp re))) 1)
195.0ms	(- (exp (* (sin im) (exp re))) 1)

prune670.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

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

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 52

Calls

4 calls:

Slowest

2.0ms	(cbrt (exp re))
2.0ms	(cbrt (exp re))
0.0ms	(expm1 (* (* (cbrt (exp re)) (cbrt (exp re))) (* (cbrt (exp re)) (sin im))))
0.0ms	(log1p (expm1 (* (* (cbrt (exp re)) (cbrt (exp re))) (* (cbrt (exp re)) (sin im)))))

series424.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

113.0ms	(cbrt (exp re))
106.0ms	(cbrt (exp re))
105.0ms	(log1p (expm1 (* (* (cbrt (exp re)) (cbrt (exp re))) (* (cbrt (exp re)) (sin im)))))
100.0ms	(expm1 (* (* (cbrt (exp re)) (cbrt (exp re))) (* (cbrt (exp re)) (sin im))))

simplify1.2s

Counts

20 → 64

Calls

20 calls:

Slowest

228.0ms	(+ (* 1/2 (* (pow re 2) im)) (+ (* re im) im))
211.0ms	(- (exp (* (sin im) (exp re))) 1)
209.0ms	(- (exp (* (sin im) (exp re))) 1)
174.0ms	(+ (* 1/2 (pow im 2)) (+ (* re im) im))
97.0ms	(+ (* 1/3 re) (+ (* 1/18 (pow re 2)) 1))

prune829.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

11.0b	(cbrt (* (* (* (exp re) (sin im)) (* (exp re) (sin im))) (* (exp re) (sin im))))
0.2b	(* (* (exp re) (sin im)) (* (exp re) (sin im)))
0.2b	(* (* (* (exp re) (sin im)) (* (exp re) (sin im))) (* (exp re) (sin im)))
0.0b	(* (exp re) (sin im))

rewrite556.0ms

Algorithm

rewrite-expression-head

Rules

200×	`pow1`
87×	`pow-prod-down`
59×	`add-cbrt-cube`
41×	`add-exp-log`
40×	`prod-exp` `cbrt-unprod`
38×	`pow-prod-up`
19×	`pow-plus`
16×	`pow-sqr`
8×	`add-sqr-sqrt`
6×	`*-un-lft-identity` `add-cube-cbrt`
5×	`associate-r` `associate-l`
4×	`pow2` `expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative`
2×	`pow3`
1×	`cbrt-prod` `pow1/3` `swap-sqr` `rem-cbrt-cube` `unswap-sqr`

Counts

4 → 148

Calls

4 calls:

Slowest

266.0ms	(cbrt (* (* (* (exp re) (sin im)) (* (exp re) (sin im))) (* (exp re) (sin im))))
197.0ms	(* (* (* (exp re) (sin im)) (* (exp re) (sin im))) (* (exp re) (sin im)))
69.0ms	(* (* (exp re) (sin im)) (* (exp re) (sin im)))
19.0ms	(* (exp re) (sin im))

series285.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

88.0ms	(* (* (* (exp re) (sin im)) (* (exp re) (sin im))) (* (exp re) (sin im)))
83.0ms	(* (* (exp re) (sin im)) (* (exp re) (sin im)))
71.0ms	(cbrt (* (* (* (exp re) (sin im)) (* (exp re) (sin im))) (* (exp re) (sin im))))
43.0ms	(* (exp re) (sin im))

simplify12.1s

Counts

146 → 160

Calls

146 calls:

Slowest

695.0ms	(* (* (* (* (* (exp re) (sin im)) (* (exp re) (sin im))) (* (exp re) (sin im))) (* (* (* (exp re) (exp re)) (exp re)) (* (* (sin im) (sin im)) (sin im)))) (* (* (* (exp re) (sin im)) (* (exp re) (sin im))) (* (exp re) (sin im))))
672.0ms	(* (* (* (* (exp re) (sin im)) (* (exp re) (sin im))) (* (exp re) (sin im))) (* (* (* (exp re) (sin im)) (* (exp re) (sin im))) (* (exp re) (sin im))))
492.0ms	(+ (pow im 3) (+ (* 3 (* re (pow im 3))) (* 9/2 (* (pow re 2) (pow im 3)))))
480.0ms	(* (* (* (* (* (exp re) (exp re)) (exp re)) (* (* (sin im) (sin im)) (sin im))) (* (* (* (exp re) (exp re)) (exp re)) (* (* (sin im) (sin im)) (sin im)))) (* (* (* (exp re) (sin im)) (* (exp re) (sin im))) (* (exp re) (sin im))))
480.0ms	(* (* (* (* (* (exp re) (sin im)) (* (exp re) (sin im))) (* (* (exp re) (sin im)) (* (exp re) (sin im)))) (* (* (exp re) (sin im)) (* (exp re) (sin im)))) (* (* (* (exp re) (exp re)) (exp re)) (* (* (sin im) (sin im)) (sin im))))

prune1.4s

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes181.0ms

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

1.6s	1519×	body	1280	valid
780.0ms	6837×	body	80	valid
776.0ms	1244×	body	640	valid
242.0ms	643×	body	320	valid
63.0ms	293×	body	160	valid