Details

sample111.0ms

Algorithm

intervals

Results

48.0ms	45×	body	1280	valid
23.0ms	50×	body	640	valid
20.0ms	205×	body	80	valid
5.0ms	14×	body	320	valid
2.0ms	10×	body	160	valid

simplify2.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	6
1	6
0	5

prune3.0ms

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))

rewrite13.0ms

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:

12.0ms

(* (exp re) (sin im))

series63.0ms

Counts

1 → 3

Calls

1 calls:

63.0ms

(* (exp re) (sin im))

simplify2.3s

Counts

24 → 24

Iterations

Iter	Nodes
done	5000
4	2209
3	785
2	242
1	98
0	43

prune125.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

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

rewrite116.0ms

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×	`expm1-log1p-u` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`rem-sqrt-square` `pow1/2` `*-commutative` `unswap-sqr`

Counts

4 → 87

Calls

4 calls:

3.0ms	(sqrt (exp re))
4.0ms	(sqrt (exp re))
29.0ms	(* (sqrt (exp re)) (sin im))
79.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))

series167.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(sqrt (exp re))
17.0ms	(sqrt (exp re))
85.0ms	(* (sqrt (exp re)) (sin im))
46.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))

simplify3.7s

Counts

99 → 99

Iterations

Iter	Nodes
done	5011
4	4064
3	1637
2	533
1	196
0	90

prune299.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

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

rewrite142.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
16×	`pow1`
13×	`-un-lft-identity` `associate-l*` `add-cube-cbrt`
12×	`add-exp-log`
11×	`add-cbrt-cube`
10×	`associate-r`
8×	`sqrt-prod`
6×	`exp-prod`
5×	`pow-prod-down` `prod-exp` `pow-prod-up` `cbrt-unprod`
4×	`expm1-log1p-u` `sqrt-pow1` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`*-commutative`
2×	`cbrt-prod` `pow3`
1×	`pow1/2` `pow1/3` `rem-cbrt-cube`

Counts

4 → 91

Calls

4 calls:

27.0ms	(* (exp re) (sqrt (exp re)))
18.0ms	(cbrt (* (exp re) (sqrt (exp re))))
23.0ms	(* (sqrt (exp re)) (sin im))
73.0ms	(* (cbrt (* (exp re) (sqrt (exp re)))) (* (sqrt (exp re)) (sin im)))

series155.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(* (exp re) (sqrt (exp re)))
13.0ms	(cbrt (* (exp re) (sqrt (exp re))))
54.0ms	(* (sqrt (exp re)) (sin im))
41.0ms	(* (cbrt (* (exp re) (sqrt (exp re)))) (* (sqrt (exp re)) (sin im)))

simplify2.1s

Counts

103 → 103

Iterations

Iter	Nodes
done	5000
3	2375
2	835
1	297
0	132

prune413.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 1 expressions with local error:

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

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

1×	`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

1 → 11

Calls

1 calls:

0.0ms

(fma im (fma re (* 1/2 re) re) im)

series43.0ms

Counts

1 → 3

Calls

1 calls:

43.0ms

(fma im (fma re (* 1/2 re) re) im)

simplify1.9s

Counts

14 → 14

Iterations

Iter	Nodes
done	5000
4	2844
3	535
2	115
1	48
0	24

prune41.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes137.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	6
1	6
0	5

end0.0ms

sample3.1s

Algorithm

intervals

Results

1.1s	1515×	body	1280	valid
958.0ms	6820×	body	80	valid
586.0ms	1226×	body	640	valid
163.0ms	597×	body	320	valid
62.0ms	329×	body	160	valid