Details

analyze142.0ms (0.4%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
50%	50%	0.1%	2
50%	50%	0.1%	3
74.9%	25%	0.1%	4
74.9%	25%	0.1%	5
74.9%	18.7%	6.3%	6
74.9%	18.7%	6.3%	7
74.9%	15.6%	9.5%	8
74.9%	15.6%	9.5%	9
74.9%	14%	11%	10
74.9%	14%	11%	11
74.9%	13.3%	11.8%	12
74.9%	13.3%	11.8%	13
74.9%	12.9%	12.2%	14

Compiler

Compiled 6 to 6 computations (0% saved)

sample43.0ms (0.1%)

Algorithm

1×

intervals

Results

12.0ms	53×	body	1024	valid
7.0ms	170×	body	128	valid
3.0ms	21×	body	1024	invalid
3.0ms	22×	body	512	valid
1.0ms	12×	body	512	invalid
1.0ms	11×	body	256	valid
1.0ms	6×	body	256	invalid
0.0ms	6×	body	128	invalid

Compiler

Compiled 14 to 18 computations (-28.6% saved)

simplify101.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

4 → 4

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	10	11
1	10	11

prune3.0ms (0%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Kept	Total
New	4	4
Fresh	4	4
Picked	0	0
Done	0	0
Total	8	8

Error

0.0b

Counts

8 → 4

Compiler

Compiled 8 to 8 computations (0% saved)

localize6.0ms (0%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 (exp.f64 re) (cos.f64 im))
0.0b	(*.f64 (exp.f64 re) (cos.f64 im))

rewrite8.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

5×	`add-sqr-sqrt_binary64_782`
3×	`-un-lft-identity_binary64_760` `add-cube-cbrt_binary64_795` `add-cbrt-cube_binary64_796` `associate-r_binary64_700` `associate-l*_binary64_701` `pow1_binary64_821`
2×	`add-exp-log_binary64_798`
1×	`unswap-sqr_binary64_728` `prod-exp_binary64_809` `add-log-exp_binary64_799` `cbrt-unprod_binary64_793` `pow-prod-down_binary64_831` `*-commutative_binary64_691`

Counts

1 → 18

Calls

2 calls:

6.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
0.0ms	(*.f64 (exp.f64 re) (cos.f64 im))

series71.0ms (0.2%)

Counts

1 → 10

Calls

1 calls:

70.0ms

(*.f64 (exp.f64 re) (cos.f64 im))

Compiler

Compiled 123 to 103 computations (16.3% saved)

simplify103.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

28 → 28

Iterations

Useful iterations: 0 (94.0ms)

Iter	Nodes	Cost
0	4830	294
1	4830	294

prune86.0ms (0.2%)

Pruning

22 alts after pruning (21 fresh and 1 done)

	Pruned	Kept	Total
New	10	18	28
Fresh	0	3	3
Picked	0	0	0
Done	0	1	1
Total	10	22	32

Error

Counts

32 → 22

Compiler

Compiled 368 to 197 computations (46.5% saved)

localize6.0ms (0%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 (exp.f64 re) (cos.f64 im))
0.0b	(*.f64 (exp.f64 re) (cos.f64 im))

rewrite7.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

5×	`add-sqr-sqrt_binary64_782`
3×	`-un-lft-identity_binary64_760` `add-cube-cbrt_binary64_795` `add-cbrt-cube_binary64_796` `associate-r_binary64_700` `associate-l*_binary64_701` `pow1_binary64_821`
2×	`add-exp-log_binary64_798`
1×	`unswap-sqr_binary64_728` `prod-exp_binary64_809` `add-log-exp_binary64_799` `cbrt-unprod_binary64_793` `pow-prod-down_binary64_831` `*-commutative_binary64_691`

Counts

1 → 18

Calls

2 calls:

6.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
0.0ms	(*.f64 (exp.f64 re) (cos.f64 im))

series70.0ms (0.2%)

Counts

1 → 10

Calls

1 calls:

70.0ms

(*.f64 (exp.f64 re) (cos.f64 im))

Compiler

Compiled 153 to 133 computations (13.1% saved)

simplify103.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

28 → 28

Iterations

Useful iterations: 0 (93.0ms)

Iter	Nodes	Cost
0	4830	294
1	4830	294

localize2.0ms (0%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify7.0ms (0%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

localize9.0ms (0%)

Local error

Found 4 expressions with local error:

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

rewrite20.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`*-un-lft-identity_binary64_760`
7×	`add-log-exp_binary64_799`
6×	`add-sqr-sqrt_binary64_782`
4×	`add-exp-log_binary64_798` `add-cube-cbrt_binary64_795` `add-cbrt-cube_binary64_796` `associate-r_binary64_700` `pow1_binary64_821`
3×	`sum-log_binary64_851` `associate-l_binary64_701`
2×	`distribute-lft-out_binary64_711` `flip3-+_binary64_763` `flip-+_binary64_734` `associate-*r/_binary64_702`
1×	`unswap-sqr_binary64_728` `prod-exp_binary64_809` `distribute-lft-in_binary64_709` `distribute-rgt-in_binary64_710` `associate-+r+_binary64_692` `+-commutative_binary64_690` `cbrt-unprod_binary64_793` `pow-prod-down_binary64_831` `*-commutative_binary64_691`

Counts

2 → 37

Calls

4 calls:

11.0ms	(.f64 (cos.f64 im) (+.f64 re (+.f64 1 (.f64 1/2 (*.f64 re re)))))
6.0ms	(+.f64 re (+.f64 1 (.f64 1/2 (.f64 re re))))
0.0ms	(+.f64 re (+.f64 1 (.f64 1/2 (.f64 re re))))
0.0ms	(.f64 (cos.f64 im) (+.f64 re (+.f64 1 (.f64 1/2 (*.f64 re re)))))

series235.0ms (0.6%)

Counts

2 → 22

Calls

2 calls:

180.0ms	(.f64 (cos.f64 im) (+.f64 re (+.f64 1 (.f64 1/2 (*.f64 re re)))))
55.0ms	(+.f64 re (+.f64 1 (.f64 1/2 (.f64 re re))))

Compiler

Compiled 412 to 349 computations (15.3% saved)

simplify70.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5015	1028

localize8.0ms (0%)

Local error

Found 6 expressions with local error:

0.3b	(log.f64 (exp.f64 (*.f64 (exp.f64 re) (cos.f64 im))))
0.1b	(exp.f64 (*.f64 (exp.f64 re) (cos.f64 im)))
0.0b	(*.f64 (exp.f64 re) (cos.f64 im))
0.0b	(*.f64 (exp.f64 re) (cos.f64 im))
0.1b	(exp.f64 (*.f64 (exp.f64 re) (cos.f64 im)))
0.3b	(log.f64 (exp.f64 (*.f64 (exp.f64 re) (cos.f64 im))))

rewrite15.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`add-sqr-sqrt_binary64_782`
6×	`*-un-lft-identity_binary64_760` `add-cube-cbrt_binary64_795` `add-log-exp_binary64_799` `pow1_binary64_821`
5×	`add-cbrt-cube_binary64_796`
4×	`add-exp-log_binary64_798`
3×	`log-pow_binary64_849` `associate-r_binary64_700` `associate-l_binary64_701` `log-prod_binary64_846`
2×	`exp-prod_binary64_812` `exp-to-pow_binary64_822`
1×	`unswap-sqr_binary64_728` `prod-exp_binary64_809` `rem-exp-log_binary64_800` `rem-log-exp_binary64_801` `cbrt-unprod_binary64_793` `pow-prod-down_binary64_831` `*-commutative_binary64_691`

Counts

3 → 42

Calls

6 calls:

8.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
2.0ms	(exp.f64 (*.f64 (exp.f64 re) (cos.f64 im)))
2.0ms	(log.f64 (exp.f64 (*.f64 (exp.f64 re) (cos.f64 im))))
0.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
0.0ms	(exp.f64 (*.f64 (exp.f64 re) (cos.f64 im)))

series375.0ms (1%)

Counts

3 → 30

Calls

3 calls:

202.0ms	(log.f64 (exp.f64 (*.f64 (exp.f64 re) (cos.f64 im))))
102.0ms	(exp.f64 (*.f64 (exp.f64 re) (cos.f64 im)))
70.0ms	(*.f64 (exp.f64 re) (cos.f64 im))

Compiler

Compiled 570 to 450 computations (21.1% saved)

simplify48.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5670	878

localize8.0ms (0%)

Local error

Found 8 expressions with local error:

0.3b	(sqrt.f64 (*.f64 (exp.f64 re) (cos.f64 im)))
0.1b	(.f64 (sqrt.f64 (.f64 (exp.f64 re) (cos.f64 im))) (sqrt.f64 (*.f64 (exp.f64 re) (cos.f64 im))))
0.0b	(*.f64 (exp.f64 re) (cos.f64 im))
0.0b	(*.f64 (exp.f64 re) (cos.f64 im))
0.0b	(*.f64 (exp.f64 re) (cos.f64 im))
0.1b	(.f64 (sqrt.f64 (.f64 (exp.f64 re) (cos.f64 im))) (sqrt.f64 (*.f64 (exp.f64 re) (cos.f64 im))))
0.3b	(sqrt.f64 (*.f64 (exp.f64 re) (cos.f64 im)))
0.3b	(sqrt.f64 (*.f64 (exp.f64 re) (cos.f64 im)))

rewrite33.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

61×	`pow1_binary64_821`
32×	`sqrt-pow1_binary64_778`
23×	`pow-prod-down_binary64_831`
14×	`add-sqr-sqrt_binary64_782`
12×	`pow1/2_binary64_840`
10×	`*-un-lft-identity_binary64_760` `add-cube-cbrt_binary64_795` `pow-prod-up_binary64_830`
8×	`add-cbrt-cube_binary64_796`
7×	`add-exp-log_binary64_798` `associate-r_binary64_700` `associate-l_binary64_701`
6×	`sqrt-prod_binary64_776` `pow-sqr_binary64_733`
4×	`add-log-exp_binary64_799` `swap-sqr_binary64_727`
2×	`unswap-sqr_binary64_728` `prod-exp_binary64_809` `cbrt-unprod_binary64_793` `*-commutative_binary64_691`
1×	`pow2_binary64_841` `rem-square-sqrt_binary64_772` `pow-plus_binary64_823` `sqrt-unprod_binary64_780`

Counts

4 → 89

Calls

8 calls:

12.0ms	(.f64 (sqrt.f64 (.f64 (exp.f64 re) (cos.f64 im))) (sqrt.f64 (*.f64 (exp.f64 re) (cos.f64 im))))
5.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
4.0ms	(sqrt.f64 (*.f64 (exp.f64 re) (cos.f64 im)))
4.0ms	(sqrt.f64 (*.f64 (exp.f64 re) (cos.f64 im)))
0.0ms	(*.f64 (exp.f64 re) (cos.f64 im))

series348.0ms (0.9%)

Counts

4 → 40

Calls

4 calls:

102.0ms	(sqrt.f64 (*.f64 (exp.f64 re) (cos.f64 im)))
102.0ms	(sqrt.f64 (*.f64 (exp.f64 re) (cos.f64 im)))
73.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
70.0ms	(.f64 (sqrt.f64 (.f64 (exp.f64 re) (cos.f64 im))) (sqrt.f64 (*.f64 (exp.f64 re) (cos.f64 im))))

Compiler

Compiled 882 to 577 computations (34.6% saved)

simplify45.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	5075	1291

prune2.2s (5.8%)

Pruning

119 alts after pruning (113 fresh and 6 done)

	Pruned	Kept	Total
New	190	98	288
Fresh	1	15	16
Picked	0	0	0
Done	0	6	6
Total	191	119	310

Error

Counts

310 → 119

Compiler

Compiled 4294 to 2124 computations (50.5% saved)

localize7.0ms (0%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 (exp.f64 re) (cos.f64 im))
0.0b	(*.f64 (exp.f64 re) (cos.f64 im))

rewrite7.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

5×	`add-sqr-sqrt_binary64_782`
3×	`-un-lft-identity_binary64_760` `add-cube-cbrt_binary64_795` `add-cbrt-cube_binary64_796` `associate-r_binary64_700` `associate-l*_binary64_701` `pow1_binary64_821`
2×	`add-exp-log_binary64_798`
1×	`unswap-sqr_binary64_728` `prod-exp_binary64_809` `add-log-exp_binary64_799` `cbrt-unprod_binary64_793` `pow-prod-down_binary64_831` `*-commutative_binary64_691`

Counts

1 → 18

Calls

2 calls:

6.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
0.0ms	(*.f64 (exp.f64 re) (cos.f64 im))

series68.0ms (0.2%)

Counts

1 → 10

Calls

1 calls:

68.0ms

(*.f64 (exp.f64 re) (cos.f64 im))

Compiler

Compiled 183 to 163 computations (10.9% saved)

simplify100.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

28 → 28

Iterations

Useful iterations: 0 (89.0ms)

Iter	Nodes	Cost
0	4830	294
1	4830	294

localize6.0ms (0%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 re (+.f64 1 (.f64 1/2 (.f64 re re))))
0.0b	(+.f64 re (+.f64 1 (.f64 1/2 (.f64 re re))))

rewrite7.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-log-exp_binary64_799`
3×	`*-un-lft-identity_binary64_760` `sum-log_binary64_851`
1×	`distribute-lft-out_binary64_711` `flip3-+_binary64_763` `add-exp-log_binary64_798` `add-cube-cbrt_binary64_795` `flip-+_binary64_734` `add-cbrt-cube_binary64_796` `associate-+r+_binary64_692` `+-commutative_binary64_690` `pow1_binary64_821` `add-sqr-sqrt_binary64_782`

Counts

1 → 14

Calls

2 calls:

6.0ms	(+.f64 re (+.f64 1 (.f64 1/2 (.f64 re re))))
0.0ms	(+.f64 re (+.f64 1 (.f64 1/2 (.f64 re re))))

series58.0ms (0.1%)

Counts

1 → 9

Calls

1 calls:

58.0ms

(+.f64 re (+.f64 1 (*.f64 1/2 (*.f64 re re))))

Compiler

Compiled 82 to 87 computations (-6.1% saved)

simplify96.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

23 → 23

Iterations

Useful iterations: 0 (87.0ms)

Iter	Nodes	Cost
0	5000	333

localize12.0ms (0%)

Local error

Found 8 expressions with local error:

14.3b	(log.f64 (+.f64 re (+.f64 1 (.f64 1/2 (.f64 re re)))))
0.9b	(exp.f64 (log.f64 (+.f64 re (+.f64 1 (.f64 1/2 (.f64 re re))))))
0.0b	(.f64 (cos.f64 im) (exp.f64 (log.f64 (+.f64 re (+.f64 1 (.f64 1/2 (*.f64 re re)))))))
0.0b	(+.f64 re (+.f64 1 (.f64 1/2 (.f64 re re))))
0.0b	(+.f64 re (+.f64 1 (.f64 1/2 (.f64 re re))))
0.0b	(.f64 (cos.f64 im) (exp.f64 (log.f64 (+.f64 re (+.f64 1 (.f64 1/2 (*.f64 re re)))))))
0.9b	(exp.f64 (log.f64 (+.f64 re (+.f64 1 (.f64 1/2 (.f64 re re))))))
14.3b	(log.f64 (+.f64 re (+.f64 1 (.f64 1/2 (.f64 re re)))))

rewrite38.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`*-un-lft-identity_binary64_760`
14×	`add-sqr-sqrt_binary64_782`
13×	`log-prod_binary64_846`
10×	`add-cube-cbrt_binary64_795`
9×	`add-log-exp_binary64_799` `exp-sum_binary64_806`
8×	`pow1_binary64_821`
7×	`associate-r_binary64_700`
6×	`log-div_binary64_847` `add-exp-log_binary64_798` `add-cbrt-cube_binary64_796`
4×	`distribute-lft-out_binary64_711` `flip3-+_binary64_763` `exp-prod_binary64_812` `exp-diff_binary64_808` `flip-+_binary64_734`
3×	`sum-log_binary64_851` `associate-l_binary64_701`
2×	`unswap-sqr_binary64_728` `log-pow_binary64_849` `associate-*r/_binary64_702`
1×	`prod-exp_binary64_809` `rem-exp-log_binary64_800` `associate-+r+_binary64_692` `+-commutative_binary64_690` `rem-log-exp_binary64_801` `cbrt-unprod_binary64_793` `pow-prod-down_binary64_831` `*-commutative_binary64_691`

Counts

4 → 72

Calls

8 calls:

11.0ms	(.f64 (cos.f64 im) (exp.f64 (log.f64 (+.f64 re (+.f64 1 (.f64 1/2 (*.f64 re re)))))))
9.0ms	(exp.f64 (log.f64 (+.f64 re (+.f64 1 (.f64 1/2 (.f64 re re))))))
6.0ms	(+.f64 re (+.f64 1 (.f64 1/2 (.f64 re re))))
5.0ms	(log.f64 (+.f64 re (+.f64 1 (.f64 1/2 (.f64 re re)))))
0.0ms	(+.f64 re (+.f64 1 (.f64 1/2 (.f64 re re))))

series529.0ms (1.4%)

Counts

4 → 30

Calls

4 calls:

315.0ms	(.f64 (cos.f64 im) (exp.f64 (log.f64 (+.f64 re (+.f64 1 (.f64 1/2 (*.f64 re re)))))))
135.0ms	(exp.f64 (log.f64 (+.f64 re (+.f64 1 (.f64 1/2 (.f64 re re))))))
57.0ms	(+.f64 re (+.f64 1 (.f64 1/2 (.f64 re re))))
22.0ms	(log.f64 (+.f64 re (+.f64 1 (.f64 1/2 (.f64 re re)))))

Compiler

Compiled 802 to 731 computations (8.9% saved)

simplify88.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4901	1815
1	4901	1815

localize14.0ms (0%)

Local error

Found 8 expressions with local error:

0.1b	(.f64 (sqrt.f64 (.f64 (exp.f64 re) (cos.f64 im))) (sqrt.f64 (*.f64 (cos.f64 im) (+.f64 re 1))))
0.1b	(*.f64 (cos.f64 im) (+.f64 re 1))
0.0b	(sqrt.f64 (*.f64 (cos.f64 im) (+.f64 re 1)))
0.0b	(*.f64 (exp.f64 re) (cos.f64 im))
0.0b	(sqrt.f64 (*.f64 (cos.f64 im) (+.f64 re 1)))
0.1b	(*.f64 (cos.f64 im) (+.f64 re 1))
0.1b	(.f64 (sqrt.f64 (.f64 (exp.f64 re) (cos.f64 im))) (sqrt.f64 (*.f64 (cos.f64 im) (+.f64 re 1))))
0.3b	(sqrt.f64 (*.f64 (exp.f64 re) (cos.f64 im)))

rewrite35.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

26×	`pow1_binary64_821`
13×	`pow-prod-down_binary64_831`
12×	`sqrt-pow1_binary64_778` `add-sqr-sqrt_binary64_782`
10×	`*-un-lft-identity_binary64_760`
8×	`add-exp-log_binary64_798` `add-cube-cbrt_binary64_795` `add-cbrt-cube_binary64_796` `associate-r_binary64_700` `associate-*r/_binary64_702`
7×	`associate-l_binary64_701`
4×	`sqrt-prod_binary64_776` `add-log-exp_binary64_799` `sqrt-div_binary64_777` `pow1/2_binary64_840`
3×	`flip3-+_binary64_763` `flip-+_binary64_734`
2×	`unswap-sqr_binary64_728` `prod-exp_binary64_809` `cbrt-unprod_binary64_793` `*-commutative_binary64_691`
1×	`distribute-lft-out_binary64_711` `distribute-lft-in_binary64_709` `distribute-rgt-in_binary64_710` `sqrt-unprod_binary64_780`

Counts

4 → 75

Calls

8 calls:

13.0ms	(.f64 (sqrt.f64 (.f64 (exp.f64 re) (cos.f64 im))) (sqrt.f64 (*.f64 (cos.f64 im) (+.f64 re 1))))
7.0ms	(*.f64 (cos.f64 im) (+.f64 re 1))
5.0ms	(sqrt.f64 (*.f64 (cos.f64 im) (+.f64 re 1)))
4.0ms	(sqrt.f64 (*.f64 (exp.f64 re) (cos.f64 im)))
0.0ms	(*.f64 (exp.f64 re) (cos.f64 im))

series369.0ms (1%)

Counts

4 → 35

Calls

4 calls:

108.0ms	(.f64 (sqrt.f64 (.f64 (exp.f64 re) (cos.f64 im))) (sqrt.f64 (*.f64 (cos.f64 im) (+.f64 re 1))))
90.0ms	(sqrt.f64 (*.f64 (exp.f64 re) (cos.f64 im)))
89.0ms	(*.f64 (cos.f64 im) (+.f64 re 1))
83.0ms	(sqrt.f64 (*.f64 (cos.f64 im) (+.f64 re 1)))

Compiler

Compiled 1078 to 823 computations (23.7% saved)

simplify102.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (79.0ms)

Iter	Nodes	Cost
0	4904	1589
1	4904	1589

localize12.0ms (0%)

Local error

Found 8 expressions with local error:

0.1b	(exp.f64 (*.f64 (exp.f64 re) (cos.f64 im)))
0.0b	(sqrt.f64 (log.f64 (exp.f64 (*.f64 (exp.f64 re) (cos.f64 im)))))
0.0b	(*.f64 (exp.f64 re) (cos.f64 im))
0.0b	(*.f64 (exp.f64 re) (cos.f64 im))
0.1b	(exp.f64 (*.f64 (exp.f64 re) (cos.f64 im)))
0.1b	(.f64 (sqrt.f64 (.f64 (exp.f64 re) (cos.f64 im))) (sqrt.f64 (log.f64 (exp.f64 (*.f64 (exp.f64 re) (cos.f64 im))))))
0.3b	(log.f64 (exp.f64 (*.f64 (exp.f64 re) (cos.f64 im))))
0.3b	(sqrt.f64 (*.f64 (exp.f64 re) (cos.f64 im)))

rewrite24.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`pow1_binary64_821`
12×	`add-sqr-sqrt_binary64_782`
9×	`sqrt-prod_binary64_776` `associate-r_binary64_700`
8×	`*-un-lft-identity_binary64_760` `add-cube-cbrt_binary64_795` `add-log-exp_binary64_799`
6×	`add-exp-log_binary64_798` `sqrt-pow1_binary64_778` `add-cbrt-cube_binary64_796` `log-pow_binary64_849` `pow-prod-down_binary64_831`
4×	`associate-l_binary64_701`
3×	`exp-prod_binary64_812` `exp-to-pow_binary64_822` `pow1/2_binary64_840` `log-prod_binary64_846`
2×	`unswap-sqr_binary64_728`
1×	`prod-exp_binary64_809` `rem-exp-log_binary64_800` `sqrt-unprod_binary64_780` `rem-log-exp_binary64_801` `cbrt-unprod_binary64_793` `*-commutative_binary64_691`

Counts

4 → 65

Calls

8 calls:

10.0ms	(.f64 (sqrt.f64 (.f64 (exp.f64 re) (cos.f64 im))) (sqrt.f64 (log.f64 (exp.f64 (*.f64 (exp.f64 re) (cos.f64 im))))))
4.0ms	(sqrt.f64 (*.f64 (exp.f64 re) (cos.f64 im)))
2.0ms	(exp.f64 (*.f64 (exp.f64 re) (cos.f64 im)))
2.0ms	(log.f64 (exp.f64 (*.f64 (exp.f64 re) (cos.f64 im))))
0.0ms	(*.f64 (exp.f64 re) (cos.f64 im))

series837.0ms (2.2%)

Counts

4 → 40

Calls

4 calls:

418.0ms	(.f64 (sqrt.f64 (.f64 (exp.f64 re) (cos.f64 im))) (sqrt.f64 (log.f64 (exp.f64 (*.f64 (exp.f64 re) (cos.f64 im))))))
204.0ms	(log.f64 (exp.f64 (*.f64 (exp.f64 re) (cos.f64 im))))
110.0ms	(exp.f64 (*.f64 (exp.f64 re) (cos.f64 im)))
105.0ms	(sqrt.f64 (*.f64 (exp.f64 re) (cos.f64 im)))

Compiler

Compiled 1499 to 956 computations (36.2% saved)

simplify82.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	5631	1595

prune7.1s (18.2%)

Pruning

259 alts after pruning (248 fresh and 11 done)

	Pruned	Kept	Total
New	218	150	368
Fresh	10	98	108
Picked	0	0	0
Done	0	11	11
Total	228	259	487

Error

Counts

487 → 259

Compiler

Compiled 9376 to 5440 computations (42% saved)

localize10.0ms (0%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 (exp.f64 re) (cos.f64 im))
0.0b	(*.f64 (exp.f64 re) (cos.f64 im))

rewrite8.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

5×	`add-sqr-sqrt_binary64_782`
3×	`-un-lft-identity_binary64_760` `add-cube-cbrt_binary64_795` `add-cbrt-cube_binary64_796` `associate-r_binary64_700` `associate-l*_binary64_701` `pow1_binary64_821`
2×	`add-exp-log_binary64_798`
1×	`unswap-sqr_binary64_728` `prod-exp_binary64_809` `add-log-exp_binary64_799` `cbrt-unprod_binary64_793` `pow-prod-down_binary64_831` `*-commutative_binary64_691`

Counts

1 → 18

Calls

2 calls:

6.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
0.0ms	(*.f64 (exp.f64 re) (cos.f64 im))

series68.0ms (0.2%)

Counts

1 → 10

Calls

1 calls:

68.0ms

(*.f64 (exp.f64 re) (cos.f64 im))

Compiler

Compiled 213 to 193 computations (9.4% saved)

simplify102.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

28 → 28

Iterations

Useful iterations: 0 (92.0ms)

Iter	Nodes	Cost
0	4830	294
1	4830	294

localize2.0ms (0%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify7.0ms (0%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

localize14.0ms (0%)

Local error

Found 8 expressions with local error:

0.1b	(.f64 (sqrt.f64 (+.f64 re (+.f64 1 (.f64 1/2 (.f64 re re))))) (sqrt.f64 (+.f64 re (+.f64 1 (.f64 1/2 (*.f64 re re))))))
0.0b	(.f64 (cos.f64 im) (.f64 (sqrt.f64 (+.f64 re (+.f64 1 (.f64 1/2 (.f64 re re))))) (sqrt.f64 (+.f64 re (+.f64 1 (.f64 1/2 (.f64 re re)))))))
0.0b	(+.f64 re (+.f64 1 (.f64 1/2 (.f64 re re))))
0.0b	(+.f64 re (+.f64 1 (.f64 1/2 (.f64 re re))))
0.0b	(.f64 (cos.f64 im) (.f64 (sqrt.f64 (+.f64 re (+.f64 1 (.f64 1/2 (.f64 re re))))) (sqrt.f64 (+.f64 re (+.f64 1 (.f64 1/2 (.f64 re re)))))))
0.1b	(.f64 (sqrt.f64 (+.f64 re (+.f64 1 (.f64 1/2 (.f64 re re))))) (sqrt.f64 (+.f64 re (+.f64 1 (.f64 1/2 (*.f64 re re))))))
9.6b	(sqrt.f64 (+.f64 re (+.f64 1 (.f64 1/2 (.f64 re re)))))
9.6b	(sqrt.f64 (+.f64 re (+.f64 1 (.f64 1/2 (.f64 re re)))))

rewrite63.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

34×	`sqrt-prod_binary64_776`
33×	`*-un-lft-identity_binary64_760`
32×	`add-sqr-sqrt_binary64_782`
28×	`sqrt-div_binary64_777`
26×	`pow1_binary64_821`
15×	`add-cube-cbrt_binary64_795`
14×	`flip3-+_binary64_763` `flip-+_binary64_734`
12×	`associate-*r/_binary64_702`
11×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796` `swap-sqr_binary64_727`
10×	`sqrt-pow1_binary64_778` `associate-l_binary64_701` `pow1/2_binary64_840`
8×	`distribute-lft-out_binary64_711` `frac-times_binary64_770` `associate-r_binary64_700`
6×	`pow-prod-down_binary64_831`
5×	`unswap-sqr_binary64_728` `pow-prod-up_binary64_830`
4×	`rem-sqrt-square_binary64_773` `associate-*l/_binary64_703` `prod-exp_binary64_809` `add-log-exp_binary64_799` `cbrt-unprod_binary64_793`
3×	`pow-sqr_binary64_733`
2×	`*-commutative_binary64_691`
1×	`pow2_binary64_841` `rem-square-sqrt_binary64_772` `pow-plus_binary64_823` `sqr-abs_binary64_775` `sqrt-unprod_binary64_780`

Counts

4 → 122

Calls

8 calls:

20.0ms	(.f64 (cos.f64 im) (.f64 (sqrt.f64 (+.f64 re (+.f64 1 (.f64 1/2 (.f64 re re))))) (sqrt.f64 (+.f64 re (+.f64 1 (.f64 1/2 (.f64 re re)))))))
17.0ms	(.f64 (sqrt.f64 (+.f64 re (+.f64 1 (.f64 1/2 (.f64 re re))))) (sqrt.f64 (+.f64 re (+.f64 1 (.f64 1/2 (*.f64 re re))))))
5.0ms	(sqrt.f64 (+.f64 re (+.f64 1 (.f64 1/2 (.f64 re re)))))
5.0ms	(sqrt.f64 (+.f64 re (+.f64 1 (.f64 1/2 (.f64 re re)))))
0.0ms	(+.f64 re (+.f64 1 (.f64 1/2 (.f64 re re))))

series310.0ms (0.8%)

Counts

4 → 34

Calls

4 calls:

178.0ms	(.f64 (cos.f64 im) (.f64 (sqrt.f64 (+.f64 re (+.f64 1 (.f64 1/2 (.f64 re re))))) (sqrt.f64 (+.f64 re (+.f64 1 (.f64 1/2 (.f64 re re)))))))
64.0ms	(.f64 (sqrt.f64 (+.f64 re (+.f64 1 (.f64 1/2 (.f64 re re))))) (sqrt.f64 (+.f64 re (+.f64 1 (.f64 1/2 (*.f64 re re))))))
37.0ms	(sqrt.f64 (+.f64 re (+.f64 1 (.f64 1/2 (.f64 re re)))))
31.0ms	(sqrt.f64 (+.f64 re (+.f64 1 (.f64 1/2 (.f64 re re)))))

Compiler

Compiled 860 to 735 computations (14.5% saved)

simplify98.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4972	3224
1	4972	3224

localize12.0ms (0%)

Local error

Found 8 expressions with local error:

0.1b	(.f64 (sqrt.f64 (.f64 (exp.f64 re) (cos.f64 im))) (pow.f64 (sqrt.f64 (*.f64 (cos.f64 im) (+.f64 re 1))) 1))
0.1b	(*.f64 (cos.f64 im) (+.f64 re 1))
0.0b	(sqrt.f64 (*.f64 (cos.f64 im) (+.f64 re 1)))
0.0b	(*.f64 (exp.f64 re) (cos.f64 im))
0.0b	(sqrt.f64 (*.f64 (cos.f64 im) (+.f64 re 1)))
0.1b	(*.f64 (cos.f64 im) (+.f64 re 1))
0.1b	(.f64 (sqrt.f64 (.f64 (exp.f64 re) (cos.f64 im))) (pow.f64 (sqrt.f64 (*.f64 (cos.f64 im) (+.f64 re 1))) 1))
0.3b	(sqrt.f64 (*.f64 (exp.f64 re) (cos.f64 im)))

rewrite39.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64_782`
13×	`pow1_binary64_821`
12×	`associate-r_binary64_700`
11×	`*-un-lft-identity_binary64_760` `add-exp-log_binary64_798`
9×	`add-cube-cbrt_binary64_795`
8×	`add-cbrt-cube_binary64_796`
7×	`associate-l_binary64_701`
5×	`unpow-prod-down_binary64_839`
4×	`unswap-sqr_binary64_728` `prod-exp_binary64_809` `sqrt-prod_binary64_776` `sqrt-pow1_binary64_778` `add-log-exp_binary64_799` `associate-*r/_binary64_702` `pow-prod-down_binary64_831`
2×	`flip3-+_binary64_763` `sqrt-div_binary64_777` `flip-+_binary64_734` `sqr-pow_binary64_732` `cbrt-unprod_binary64_793` `pow1/2_binary64_840` `*-commutative_binary64_691`
1×	`distribute-lft-out_binary64_711` `distribute-lft-in_binary64_709` `pow-exp_binary64_828` `distribute-rgt-in_binary64_710` `pow-to-exp_binary64_829`

Counts

4 → 75

Calls

8 calls:

12.0ms	(.f64 (sqrt.f64 (.f64 (exp.f64 re) (cos.f64 im))) (pow.f64 (sqrt.f64 (*.f64 (cos.f64 im) (+.f64 re 1))) 1))
7.0ms	(*.f64 (cos.f64 im) (+.f64 re 1))
5.0ms	(sqrt.f64 (*.f64 (cos.f64 im) (+.f64 re 1)))
4.0ms	(sqrt.f64 (*.f64 (exp.f64 re) (cos.f64 im)))
0.0ms	(*.f64 (exp.f64 re) (cos.f64 im))

series385.0ms (1%)

Counts

4 → 35

Calls

4 calls:

110.0ms	(.f64 (sqrt.f64 (.f64 (exp.f64 re) (cos.f64 im))) (pow.f64 (sqrt.f64 (*.f64 (cos.f64 im) (+.f64 re 1))) 1))
97.0ms	(*.f64 (cos.f64 im) (+.f64 re 1))
92.0ms	(sqrt.f64 (*.f64 (exp.f64 re) (cos.f64 im)))
85.0ms	(sqrt.f64 (*.f64 (cos.f64 im) (+.f64 re 1)))

Compiler

Compiled 1166 to 911 computations (21.9% saved)

simplify90.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4946	1681
1	4946	1681

localize13.0ms (0%)

Local error

Found 8 expressions with local error:

0.0b	(cbrt.f64 (exp.f64 re))
0.0b	(*.f64 (cbrt.f64 (exp.f64 re)) (cbrt.f64 (exp.f64 re)))
0.0b	(*.f64 (cos.f64 im) (cbrt.f64 (exp.f64 re)))
0.0b	(.f64 (.f64 (cbrt.f64 (exp.f64 re)) (cbrt.f64 (exp.f64 re))) (*.f64 (cos.f64 im) (cbrt.f64 (exp.f64 re))))
0.0b	(cbrt.f64 (exp.f64 re))
0.0b	(cbrt.f64 (exp.f64 re))
0.1b	(exp.f64 (.f64 (.f64 (cbrt.f64 (exp.f64 re)) (cbrt.f64 (exp.f64 re))) (*.f64 (cos.f64 im) (cbrt.f64 (exp.f64 re)))))
0.3b	(log.f64 (exp.f64 (.f64 (.f64 (cbrt.f64 (exp.f64 re)) (cbrt.f64 (exp.f64 re))) (*.f64 (cos.f64 im) (cbrt.f64 (exp.f64 re))))))

rewrite13.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`*-un-lft-identity_binary64_760` `add-cube-cbrt_binary64_795` `add-log-exp_binary64_799` `add-sqr-sqrt_binary64_782`
6×	`cbrt-prod_binary64_791`
5×	`pow1_binary64_821`
4×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796`
3×	`log-pow_binary64_849` `log-prod_binary64_846`
2×	`pow1/3_binary64_842` `exp-prod_binary64_812` `exp-to-pow_binary64_822`
1×	`rem-exp-log_binary64_800` `rem-log-exp_binary64_801`

Counts

4 → 46

Calls

8 calls:

3.0ms	(exp.f64 (.f64 (.f64 (cbrt.f64 (exp.f64 re)) (cbrt.f64 (exp.f64 re))) (*.f64 (cos.f64 im) (cbrt.f64 (exp.f64 re)))))
2.0ms	(log.f64 (exp.f64 (.f64 (.f64 (cbrt.f64 (exp.f64 re)) (cbrt.f64 (exp.f64 re))) (*.f64 (cos.f64 im) (cbrt.f64 (exp.f64 re))))))
2.0ms	(cbrt.f64 (exp.f64 re))
2.0ms	(cbrt.f64 (exp.f64 re))
0.0ms	(.f64 (.f64 (cbrt.f64 (exp.f64 re)) (cbrt.f64 (exp.f64 re))) (*.f64 (cos.f64 im) (cbrt.f64 (exp.f64 re))))

series446.0ms (1.1%)

Counts

4 → 32

Calls

4 calls:

200.0ms	(log.f64 (exp.f64 (.f64 (.f64 (cbrt.f64 (exp.f64 re)) (cbrt.f64 (exp.f64 re))) (*.f64 (cos.f64 im) (cbrt.f64 (exp.f64 re))))))
113.0ms	(exp.f64 (.f64 (.f64 (cbrt.f64 (exp.f64 re)) (cbrt.f64 (exp.f64 re))) (*.f64 (cos.f64 im) (cbrt.f64 (exp.f64 re)))))
70.0ms	(cbrt.f64 (exp.f64 re))
63.0ms	(cbrt.f64 (exp.f64 re))

Compiler

Compiled 725 to 549 computations (24.3% saved)

simplify74.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5218	896

prune10.8s (27.7%)

Pruning

358 alts after pruning (343 fresh and 15 done)

	Pruned	Kept	Total
New	266	106	372
Fresh	6	237	243
Picked	0	0	0
Done	1	15	16
Total	273	358	631

Error

Counts

631 → 358

Compiler

Compiled 5421 to 2772 computations (48.9% saved)

simplify270.0ms (0.7%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	2017	17122
1	2017	17122

regimes2.9s (7.5%)

Compiler: Compiled 34147 to 24235 computations (29% saved)

bsearch0.0ms (0%)

regimes285.0ms (0.7%)

Compiler: Compiled 1291 to 1102 computations (14.6% saved)

bsearch1.0ms (0%)

Compiler: Compiled 2 to 3 computations (-50% saved)

regimes230.0ms (0.6%)

Compiler: Compiled 777 to 722 computations (7.1% saved)

bsearch1.0ms (0%)

Compiler: Compiled 2 to 3 computations (-50% saved)

regimes218.0ms (0.6%)

Compiler: Compiled 713 to 670 computations (6% saved)

bsearch1.0ms (0%)

Compiler: Compiled 2 to 3 computations (-50% saved)

regimes171.0ms (0.4%)

Compiler: Compiled 521 to 510 computations (2.1% saved)

bsearch1.0ms (0%)

Compiler: Compiled 2 to 3 computations (-50% saved)

regimes129.0ms (0.3%)

Compiler: Compiled 332 to 332 computations (0% saved)

bsearch1.0ms (0%)

Compiler: Compiled 2 to 3 computations (-50% saved)

regimes47.0ms (0.1%)

Compiler: Compiled 242 to 239 computations (1.2% saved)

bsearch0.0ms (0%)

regimes61.0ms (0.2%)

Compiler: Compiled 156 to 152 computations (2.6% saved)

bsearch8.0ms (0%)

Steps

Iters	Range		Point
3	-446.82575204678716	-345.20124938358606	-351.55278080003615

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes41.0ms (0.1%)

Compiler: Compiled 40 to 56 computations (-40% saved)

bsearch22.0ms (0.1%)

Steps

Iters	Range		Point
8	-345.20124938358606	-0.754862711133437	-60.15412335959204

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes34.0ms (0.1%)

Compiler: Compiled 10 to 26 computations (-160% saved)

bsearch12.0ms (0%)

Steps

Iters	Range		Point
3	-446.82575204678716	-345.20124938358606	-351.55278080003615

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes19.0ms (0.1%)

Accuracy

Total 0.0b remaining (93.9%)

Threshold costs 0.0b (93.9%)

Compiler

Compiled 8 to 20 computations (-150% saved)

bsearch31.0ms (0.1%)

Steps

Iters	Range		Point
8	-0.12037120931568528	-3.01527555605515e-06	-0.11849803224557812

Compiler

Compiled 130 to 112 computations (13.8% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	63	192
1	63	192

end0.0ms (0%)

sample8.0s (20.7%)

Algorithm

1×

intervals

Results

320.0ms	1339×	body	1024	valid
232.0ms	5622×	body	128	valid
121.0ms	690×	body	1024	invalid
86.0ms	686×	body	512	valid
38.0ms	329×	body	512	invalid
30.0ms	353×	body	256	valid
13.0ms	159×	body	256	invalid
9.0ms	185×	body	128	invalid

Compiler

Compiled 7089 to 5069 computations (28.5% saved)

Pareto

0.5353967464521989