Details

sample15.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	5
1	12	5
2	12	5

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 30.7b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(log (sqrt (+ (* re re) (* im im))))
0.0b	(+ (* re re) (* im im))
28.7b	(sqrt (+ (* re re) (* im im)))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

64×	`add-sqr-sqrt`
47×	`*-un-lft-identity`
26×	`hypot-def`
19×	`swap-sqr`
16×	`sqrt-prod`
15×	`fma-def` `associate-l` `distribute-lft-out`
11×	`add-cube-cbrt` `log-prod` `*-commutative` `unswap-sqr`
6×	`pow1`
5×	`add-log-exp`
4×	`add-exp-log` `sqrt-div`
3×	`expm1-log1p-u` `flip3-+` `associate-r` `log-pow` `add-cbrt-cube` `flip-+` `log1p-expm1-u`
2×	`+-commutative` `log-div` `sqrt-pow1` `pow1/2`
1×	`rem-sqrt-square` `rem-log-exp` `sum-log`

Counts

3 → 107

Calls

3 calls:

15.0ms	(log (sqrt (+ (* re re) (* im im))))
16.0ms	(+ (* re re) (* im im))
21.0ms	(sqrt (+ (* re re) (* im im)))

series138.0ms

Counts

3 → 9

Calls

3 calls:

65.0ms	(log (sqrt (+ (* re re) (* im im))))
29.0ms	(+ (* re re) (* im im))
44.0ms	(sqrt (+ (* re re) (* im im)))

simplify56.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 3 (50.0ms)

Iter	Nodes	Cost
0	168	414
1	607	375
2	1830	370
3	5001	368

prune152.0ms

Filtered

116 candidates to 71 candidates (61.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	115	1	116
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	116	1	117

Merged error: 0b

Counts

117 → 1

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b	(log (hypot re im))
0.0b	(hypot re im)

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

3×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `log-prod` `*-un-lft-identity`
2×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
1×	`hypot-udef` `rem-log-exp` `log-pow`

Counts

2 → 24

Calls

2 calls:

1.0ms	(log (hypot re im))
1.0ms	(hypot re im)

series127.0ms

Counts

2 → 6

Calls

2 calls:

75.0ms	(log (hypot re im))
52.0ms	(hypot re im)

simplify44.0ms

Algorithm

egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	52	88
1	67	75
2	94	75
3	138	75
4	282	75
5	581	75
6	5001	75

prune49.0ms

Filtered

30 candidates to 25 candidates (83.3%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	30	0	30
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	30	1	31

Merged error: 0b

Counts

31 → 1

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	2

end0.0ms

sample368.0ms

Algorithm

intervals

Results

240.0ms

8000×

body

valid