Details

analyze509.0ms (7.9%)

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)

sample96.0ms (1.5%)

Algorithm

1×

intervals

Results

28.0ms	76×	body	1024	valid
17.0ms	71×	body	1024	invalid
11.0ms	133×	body	128	valid
6.0ms	101×	body	128	invalid
6.0ms	32×	body	512	invalid
6.0ms	30×	body	512	valid
2.0ms	19×	body	256	invalid
2.0ms	16×	body	256	valid
1.0ms	1×	body	2048	valid

Compiler

Compiled 25 to 25 computations (0% saved)

simplify122.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (116.0ms)

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 (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite173.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

6×	`pow1_binary64_139` `add-exp-log_binary64_116` `add-cbrt-cube_binary64_114`
4×	`-un-lft-identity_binary64_78` `associate-r*_binary64_18`
3×	`pow-prod-down_binary64_149` `prod-exp_binary64_127` `cbrt-unprod_binary64_111`
2×	`add-cube-cbrt_binary64_113` `add-sqr-sqrt_binary64_100` `associate-*r/_binary64_20`
1×	`add-log-exp_binary64_117` `distribute-rgt-in_binary64_28` `distribute-lft-in_binary64_27` `flip3-+_binary64_81` `flip-+_binary64_52` `associate-l_binary64_19` `distribute-lft-out_binary64_29` `*-commutative_binary64_9`

Counts

1 → 23

Calls

1 calls:

10.0ms

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

Compiler

Compiled 467 to 167 computations (64.2% saved)

series177.0ms (2.8%)

Error

0.0b

Counts

1 → 12

Calls

1 calls:

163.0ms

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

Compiler

Compiled 595 to 401 computations (32.6% saved)

simplify69.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4931	740
1	4931	740

prune39.0ms (0.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	33	2	35
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	34	2	36

Error

Counts

36 → 2

Compiler

Compiled 614 to 254 computations (58.6% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 1/2 (.f64 im im))
0.0b	(+.f64 (.f64 1/2 (.f64 im im)) (*.f64 1/24 (pow.f64 im 4)))
0.1b	(*.f64 1/24 (pow.f64 im 4))
0.1b	(.f64 (sin.f64 re) (+.f64 (.f64 1/2 (.f64 im im)) (.f64 1/24 (pow.f64 im 4))))

rewrite123.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

18×	`add-sqr-sqrt_binary64_100`
16×	`add-exp-log_binary64_116`
13×	`add-cbrt-cube_binary64_114`
11×	`pow1_binary64_139` `associate-r_binary64_18`
10×	`add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
9×	`associate-l_binary64_19`
7×	`prod-exp_binary64_127`
6×	`add-log-exp_binary64_117`
5×	`cbrt-unprod_binary64_111` `unswap-sqr_binary64_46`
4×	`pow-prod-down_binary64_149` `unpow-prod-down_binary64_157`
3×	`*-commutative_binary64_9`
2×	`flip3-+_binary64_81` `associate-*r/_binary64_20` `flip-+_binary64_52` `sqr-pow_binary64_50`
1×	`distribute-rgt-in_binary64_28` `distribute-lft-in_binary64_27` `pow-to-exp_binary64_147` `pow-exp_binary64_146` `sum-log_binary64_169` `+-commutative_binary64_8`

Counts

4 → 77

Calls

4 calls:

10.0ms	(.f64 (sin.f64 re) (+.f64 (.f64 1/2 (.f64 im im)) (.f64 1/24 (pow.f64 im 4))))
6.0ms	(+.f64 (.f64 1/2 (.f64 im im)) (*.f64 1/24 (pow.f64 im 4)))
5.0ms	(*.f64 1/24 (pow.f64 im 4))
5.0ms	(.f64 1/2 (.f64 im im))

Compiler

Compiled 1978 to 1182 computations (40.2% saved)

series355.0ms (5.5%)

Error

Counts

4 → 22

Calls

4 calls:

197.0ms	(.f64 (sin.f64 re) (+.f64 (.f64 1/2 (.f64 im im)) (.f64 1/24 (pow.f64 im 4))))
82.0ms	(+.f64 (.f64 1/2 (.f64 im im)) (*.f64 1/24 (pow.f64 im 4)))
28.0ms	(*.f64 1/24 (pow.f64 im 4))
26.0ms	(.f64 1/2 (.f64 im im))

Compiler

Compiled 1039 to 768 computations (26.1% saved)

simplify89.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4941	1483
1	4941	1483

prune100.0ms (1.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	99	2	101

Error

Counts

101 → 2

Compiler

Compiled 2139 to 1246 computations (41.7% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
0.0b	(sqrt.f64 (.f64 1/2 (.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))))
0.0b	(sqrt.f64 (.f64 1/2 (.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))))
0.2b	(.f64 (sqrt.f64 (.f64 1/2 (.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))) (sqrt.f64 (.f64 1/2 (*.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))))

rewrite201.0ms (3.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

145×	`pow1_binary64_139`
78×	`pow-prod-down_binary64_149`
66×	`sqrt-pow1_binary64_96`
36×	`associate-*r/_binary64_20`
17×	`pow-prod-up_binary64_148`
16×	`sqrt-div_binary64_95`
14×	`pow1/2_binary64_158` `add-sqr-sqrt_binary64_100`
12×	`*-un-lft-identity_binary64_78`
11×	`pow-sqr_binary64_51`
10×	`add-cube-cbrt_binary64_113`
9×	`flip3-+_binary64_81` `flip-+_binary64_52` `associate-r_binary64_18`
8×	`add-exp-log_binary64_116` `add-cbrt-cube_binary64_114`
7×	`associate-l_binary64_19`
6×	`sqrt-prod_binary64_94`
4×	`add-log-exp_binary64_117` `frac-times_binary64_88` `swap-sqr_binary64_45`
2×	`prod-exp_binary64_127` `cbrt-unprod_binary64_111` `unswap-sqr_binary64_46` `associate-l/_binary64_21` `-commutative_binary64_9`
1×	`pow2_binary64_159` `pow-plus_binary64_141` `sqrt-unprod_binary64_98` `rem-square-sqrt_binary64_90` `distribute-rgt-in_binary64_28` `distribute-lft-in_binary64_27` `cosh-undef_binary64_272` `distribute-lft-out_binary64_29`

Counts

4 → 126

Calls

4 calls:

21.0ms	(.f64 (sqrt.f64 (.f64 1/2 (.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))) (sqrt.f64 (.f64 1/2 (*.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))))
8.0ms	(*.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
8.0ms	(sqrt.f64 (.f64 1/2 (.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))))
7.0ms	(sqrt.f64 (.f64 1/2 (.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))))

Compiler

Compiled 4042 to 1336 computations (66.9% saved)

series890.0ms (13.8%)

Error

Counts

4 → 42

Calls

4 calls:

253.0ms	(.f64 (sqrt.f64 (.f64 1/2 (.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))) (sqrt.f64 (.f64 1/2 (*.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))))
223.0ms	(sqrt.f64 (.f64 1/2 (.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))))
223.0ms	(sqrt.f64 (.f64 1/2 (.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))))
122.0ms	(*.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))

Compiler

Compiled 3844 to 2567 computations (33.2% saved)

simplify71.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

168 → 168

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5108	3685

prune180.0ms (2.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	168	0	168
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	168	2	170

Error

Counts

170 → 2

Compiler

Compiled 4397 to 1739 computations (60.5% saved)

regimes216.0ms (3.4%)

Accuracy

Total 0.0b remaining (54%)

Threshold costs 0.0b (54%)

Compiler

Compiled 2098 to 1522 computations (27.5% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	26
1	23	26

end0.0ms (0%)

sample3.0s (46.5%)

Algorithm

1×

intervals

Results

733.0ms	1986×	body	1024	valid
487.0ms	1991×	body	1024	invalid
277.0ms	4466×	body	128	valid
192.0ms	1013×	body	512	valid
176.0ms	1023×	body	512	invalid
167.0ms	2691×	body	128	invalid
71.0ms	529×	body	256	valid
64.0ms	514×	body	256	invalid
4.0ms	6×	body	2048	valid
0.0ms	1×	body	2048	invalid

Compiler

Compiled 365 to 266 computations (27.1% saved)

Details

analyze509.0ms (7.9%)

sample96.0ms (1.5%)

simplify122.0ms (1.9%)

prune3.0ms (0.1%)

localize9.0ms (0.1%)

rewrite173.0ms (2.7%)

series177.0ms (2.8%)

simplify69.0ms (1.1%)

prune39.0ms (0.6%)

localize12.0ms (0.2%)

rewrite123.0ms (1.9%)

series355.0ms (5.5%)

simplify89.0ms (1.4%)

prune100.0ms (1.6%)

localize14.0ms (0.2%)

rewrite201.0ms (3.1%)

series890.0ms (13.8%)

simplify71.0ms (1.1%)

prune180.0ms (2.8%)

regimes216.0ms (3.4%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample3.0s (46.5%)

Profiling