Details

analyze644.0ms (13%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4943	36
1	4943	36
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
25%	74.9%	0.1%	4
62.4%	37.5%	0.1%	5
62.4%	37.5%	0.1%	6
62.4%	31.2%	6.3%	7
62.4%	31.2%	6.3%	8
62.4%	28.1%	9.5%	9
62.4%	28.1%	9.5%	10
62.4%	26.5%	11%	11
62.4%	26.5%	11%	12
62.4%	25.8%	11.8%	13
62.4%	25.8%	11.8%	14

Compiler

Compiled 13 to 12 computations (7.7% saved)

sample85.0ms (1.7%)

Algorithm

1×

intervals

Results

28.0ms	73×	body	1024	valid
12.0ms	54×	body	1024	invalid
9.0ms	148×	body	128	valid
6.0ms	36×	body	512	invalid
5.0ms	88×	body	128	invalid
3.0ms	16×	body	512	valid
2.0ms	19×	body	256	valid
2.0ms	15×	body	256	invalid

Compiler

Compiled 25 to 25 computations (0% saved)

simplify120.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (114.0ms)

Iter	Nodes	Cost
0	5282	18

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
0.0b	(.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

rewrite50.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

7×	`pow1_binary64_139` `add-exp-log_binary64_116` `add-cbrt-cube_binary64_114` `*-un-lft-identity_binary64_78`
4×	`add-log-exp_binary64_117` `associate-r_binary64_18`
3×	`pow-prod-down_binary64_149` `prod-exp_binary64_127` `add-cube-cbrt_binary64_113` `cbrt-unprod_binary64_111` `add-sqr-sqrt_binary64_100`
2×	`flip3-+_binary64_81` `associate-*r/_binary64_20` `flip-+_binary64_52` `distribute-lft-out_binary64_29`
1×	`distribute-rgt-in_binary64_28` `distribute-lft-in_binary64_27` `associate-l_binary64_19` `*-commutative_binary64_9` `sum-log_binary64_169` `+-commutative_binary64_8`

Counts

2 → 35

Calls

2 calls:

10.0ms	(.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
5.0ms	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

Compiler

Compiled 692 to 227 computations (67.2% saved)

series184.0ms (3.7%)

Error

Counts

2 → 16

Calls

2 calls:

150.0ms	(.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
20.0ms	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

Compiler

Compiled 578 to 427 computations (26.1% saved)

simplify68.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4910	882
1	4910	882

prune41.0ms (0.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	50	1	51
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	50	2	52

Error

Counts

52 → 2

Compiler

Compiled 795 to 308 computations (61.3% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 1/2 (exp.f64 im))
0.0b	(.f64 (exp.f64 im) (.f64 1/2 (sin.f64 re)))
0.0b	(+.f64 (.f64 (/.f64 1/2 (exp.f64 im)) (sin.f64 re)) (.f64 (exp.f64 im) (*.f64 1/2 (sin.f64 re))))
0.0b	(*.f64 (/.f64 1/2 (exp.f64 im)) (sin.f64 re))

rewrite123.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

26×	`add-sqr-sqrt_binary64_100`
21×	`add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
19×	`times-frac_binary64_84`
16×	`add-cbrt-cube_binary64_114` `associate-l_binary64_19`
12×	`add-exp-log_binary64_116`
11×	`pow1_binary64_139`
6×	`add-log-exp_binary64_117`
5×	`prod-exp_binary64_127` `cbrt-unprod_binary64_111`
4×	`pow-prod-down_binary64_149` `associate-r_binary64_18`
3×	`associate-/l_binary64_23` `associate-/r_binary64_22`
2×	`div-exp_binary64_129` `cbrt-undiv_binary64_112` `unswap-sqr_binary64_46` `div-inv_binary64_75` `*-commutative_binary64_9`
1×	`associate-*l/_binary64_21` `sum-log_binary64_169` `flip3-+_binary64_81` `flip-+_binary64_52` `+-commutative_binary64_8` `frac-2neg_binary64_89` `clear-num_binary64_77`

Counts

4 → 88

Calls

4 calls:

8.0ms	(+.f64 (.f64 (/.f64 1/2 (exp.f64 im)) (sin.f64 re)) (.f64 (exp.f64 im) (*.f64 1/2 (sin.f64 re))))
8.0ms	(*.f64 (/.f64 1/2 (exp.f64 im)) (sin.f64 re))
6.0ms	(.f64 (exp.f64 im) (.f64 1/2 (sin.f64 re)))
4.0ms	(/.f64 1/2 (exp.f64 im))

Compiler

Compiled 2033 to 1037 computations (49% saved)

series473.0ms (9.5%)

Error

Counts

4 → 36

Calls

4 calls:

203.0ms	(+.f64 (.f64 (/.f64 1/2 (exp.f64 im)) (sin.f64 re)) (.f64 (exp.f64 im) (*.f64 1/2 (sin.f64 re))))
115.0ms	(*.f64 (/.f64 1/2 (exp.f64 im)) (sin.f64 re))
91.0ms	(.f64 (exp.f64 im) (.f64 1/2 (sin.f64 re)))
31.0ms	(/.f64 1/2 (exp.f64 im))

Compiler

Compiled 1643 to 1067 computations (35.1% saved)

simplify105.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 0 (82.0ms)

Iter	Nodes	Cost
0	4947	1848
1	4947	1848

prune111.0ms (2.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	124	0	124
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	124	2	126

Error

Counts

126 → 2

Compiler

Compiled 2398 to 1186 computations (50.5% saved)

regimes151.0ms (3%)

Accuracy

Total 0.0b remaining (52.9%)

Threshold costs 0.0b (52.9%)

Compiler

Compiled 1368 to 1032 computations (24.6% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	18
1	21	18

end0.0ms (0%)

sample2.8s (56.1%)

Algorithm

1×

intervals

Results

703.0ms	2004×	body	1024	valid
465.0ms	1946×	body	1024	invalid
271.0ms	4488×	body	128	valid
190.0ms	1024×	body	512	valid
165.0ms	956×	body	512	invalid
151.0ms	2560×	body	128	invalid
60.0ms	478×	body	256	valid
59.0ms	476×	body	256	invalid
5.0ms	6×	body	2048	valid

Compiler

Compiled 243 to 186 computations (23.5% saved)

Details

analyze644.0ms (13%)

sample85.0ms (1.7%)

simplify120.0ms (2.4%)

prune3.0ms (0.1%)

localize9.0ms (0.2%)

rewrite50.0ms (1%)

series184.0ms (3.7%)

simplify68.0ms (1.4%)

prune41.0ms (0.8%)

localize10.0ms (0.2%)

rewrite123.0ms (2.5%)

series473.0ms (9.5%)

simplify105.0ms (2.1%)

prune111.0ms (2.2%)

regimes151.0ms (3%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample2.8s (56.1%)

Profiling