Details

analyze347.0ms (6.4%)

Algorithm

1×

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)

sample93.0ms (1.7%)

Algorithm

1×

intervals

Results

26.0ms	50×	body	1280	valid
12.0ms	43×	body	640	valid
12.0ms	33×	body	1280	invalid
9.0ms	141×	body	80	valid
8.0ms	33×	body	640	invalid
5.0ms	74×	body	80	invalid
3.0ms	15×	body	320	invalid
2.0ms	13×	body	320	valid
2.0ms	15×	body	160	invalid
1.0ms	9×	body	160	valid

Compiler

Compiled 25 to 25 computations (0% saved)

simplify220.0ms (4.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (205.0ms)

Iter	Nodes	Cost
0	5279	18

prune4.0ms (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

Merged error: 0.0b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize13.0ms (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)))

rewrite21.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`*-un-lft-identity_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`add-log-exp_binary64` `associate-r_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `add-cube-cbrt_binary64` `prod-exp_binary64` `add-sqr-sqrt_binary64`
2×	`flip3-+_binary64` `distribute-lft-out_binary64` `associate-*r/_binary64` `insert-posit16` `flip-+_binary64`
1×	`distribute-lft-in_binary64` `associate-l_binary64` `distribute-rgt-in_binary64` `+-commutative_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

2 → 37

Calls

2 calls:

13.0ms	(.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
7.0ms	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

series144.0ms (2.7%)

Counts

2 → 6

Calls

2 calls:

120.0ms	(.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
24.0ms	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

simplify145.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (119.0ms)

Iter	Nodes	Cost
0	4952	751
1	4952	751

prune36.0ms (0.7%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	41	2	43
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	42	2	44

Merged error: 0b

Counts

44 → 2

Compiler

Compiled 720 to 280 computations (61.1% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

rewrite31.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-cbrt-cube_binary64`
9×	`add-exp-log_binary64`
8×	`pow1_binary64`
6×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
5×	`add-log-exp_binary64`
4×	`cbrt-unprod_binary64` `prod-exp_binary64`
3×	`pow-prod-down_binary64` `associate-/r_binary64` `associate-r*_binary64` `times-frac_binary64` `insert-posit16`
2×	`cbrt-undiv_binary64` `div-inv_binary64` `div-exp_binary64`
1×	`flip3-+_binary64` `distribute-lft-out_binary64` `associate-l_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `-commutative_binary64`

Counts

3 → 54

Calls

3 calls:

11.0ms	(+.f64 (/.f64 (.f64 1/2 (sin.f64 re)) (exp.f64 im)) (.f64 (*.f64 1/2 (sin.f64 re)) (exp.f64 im)))
9.0ms	(/.f64 (*.f64 1/2 (sin.f64 re)) (exp.f64 im))
8.0ms	(.f64 (.f64 1/2 (sin.f64 re)) (exp.f64 im))

series314.0ms (5.8%)

Counts

3 → 9

Calls

3 calls:

156.0ms	(+.f64 (/.f64 (.f64 1/2 (sin.f64 re)) (exp.f64 im)) (.f64 (*.f64 1/2 (sin.f64 re)) (exp.f64 im)))
92.0ms	(/.f64 (*.f64 1/2 (sin.f64 re)) (exp.f64 im))
66.0ms	(.f64 (.f64 1/2 (sin.f64 re)) (exp.f64 im))

simplify125.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 0 (100.0ms)

Iter	Nodes	Cost
0	5025	1031

prune57.0ms (1.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	63	0	63
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	63	2	65

Merged error: 0b

Counts

65 → 2

Compiler

Compiled 1208 to 608 computations (49.7% saved)

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
0.0b	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
0.4b	(.f64 (.f64 1/2 (sin.f64 re)) (sqrt.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
0.5b	(.f64 (.f64 (*.f64 1/2 (sin.f64 re)) (sqrt.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))) (sqrt.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))

rewrite57.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
16×	`*-un-lft-identity_binary64`
14×	`associate-r_binary64` `sqrt-div_binary64`
10×	`associate-*r/_binary64`
9×	`pow-prod-down_binary64` `flip3-+_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `flip-+_binary64`
8×	`add-log-exp_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `sqrt-prod_binary64`
4×	`distribute-lft-out_binary64` `insert-posit16` `frac-times_binary64`
2×	`associate-l_binary64` `+-commutative_binary64` `associate-l/_binary64` `sum-log_binary64` `-commutative_binary64`

Counts

4 → 85

Calls

4 calls:

24.0ms	(.f64 (.f64 (*.f64 1/2 (sin.f64 re)) (sqrt.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))) (sqrt.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
15.0ms	(.f64 (.f64 1/2 (sin.f64 re)) (sqrt.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
7.0ms	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
7.0ms	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

series345.0ms (6.4%)

Counts

4 → 12

Calls

4 calls:

164.0ms	(.f64 (.f64 1/2 (sin.f64 re)) (sqrt.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
125.0ms	(.f64 (.f64 (*.f64 1/2 (sin.f64 re)) (sqrt.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))) (sqrt.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
29.0ms	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
26.0ms	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

simplify127.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (95.0ms)

Iter	Nodes	Cost
0	4921	2060
1	4921	2060

prune92.0ms (1.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	97	0	97
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	97	2	99

Merged error: 0b

Counts

99 → 2

Compiler

Compiled 2341 to 708 computations (69.8% saved)

regimes38.0ms (0.7%)

Compiler: Compiled 156 to 116 computations (25.6% saved)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	24
1	13	24

end0.0ms (0%)

sample3.2s (58.5%)

Algorithm

1×

intervals

Results

854.0ms	1583×	body	1280	valid
527.0ms	1510×	body	1280	invalid
349.0ms	1200×	body	640	valid
300.0ms	1236×	body	640	invalid
272.0ms	4303×	body	80	valid
151.0ms	2401×	body	80	invalid
116.0ms	621×	body	320	valid
104.0ms	601×	body	320	invalid
36.0ms	293×	body	160	valid
34.0ms	283×	body	160	invalid

Compiler

Compiled 63 to 48 computations (23.8% saved)

Details

analyze347.0ms (6.4%)

sample93.0ms (1.7%)

simplify220.0ms (4.1%)

prune4.0ms (0.1%)

localize13.0ms (0.2%)

rewrite21.0ms (0.4%)

series144.0ms (2.7%)

simplify145.0ms (2.7%)

prune36.0ms (0.7%)

localize9.0ms (0.2%)

rewrite31.0ms (0.6%)

series314.0ms (5.8%)

simplify125.0ms (2.3%)

prune57.0ms (1.1%)

localize14.0ms (0.3%)

rewrite57.0ms (1.1%)

series345.0ms (6.4%)

simplify127.0ms (2.4%)

prune92.0ms (1.7%)

regimes38.0ms (0.7%)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

end0.0ms (0%)

sample3.2s (58.5%)

Profiling