Details

analyze446.0ms (11.1%)

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
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
23.4%	51.5%	25.1%	7
24.2%	50.7%	25.1%	8
24.6%	50.3%	25.1%	9
36.9%	25.5%	37.6%	10
37.2%	25.3%	37.6%	11
37.3%	25.1%	37.6%	12
43.5%	12.7%	43.8%	13
43.6%	12.6%	43.8%	14

Compiler

Compiled 29 to 21 computations (27.6% saved)

sample37.0ms (0.9%)

Algorithm

1×

intervals

Results

24.0ms	256×	body	80	valid
3.0ms	30×	body	80	nan

Compiler

Compiled 57 to 44 computations (22.8% saved)

simplify142.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (132.0ms)

Iter	Nodes	Cost
0	4958	9
1	4958	9

prune8.0ms (0.2%)

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: 0.3b

Counts

2 → 2

Compiler

Compiled 40 to 32 computations (20% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.3b	(/.f64 (atan2.f64 im re) (log.f64 base))

rewrite4.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`times-frac_binary64`
10×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
5×	`pow1_binary64`
4×	`associate-/r*_binary64` `log-pow_binary64`
3×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-/l*_binary64`
1×	`add-log-exp_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64`

Counts

1 → 31

Calls

1 calls:

3.0ms

(/.f64 (atan2.f64 im re) (log.f64 base))

series14.0ms (0.3%)

Counts

1 → 3

Calls

1 calls:

14.0ms

(/.f64 (atan2.f64 im re) (log.f64 base))

simplify133.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 0 (119.0ms)

Iter	Nodes	Cost
0	4846	518
1	4846	518

prune74.0ms (1.8%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	26	8	34
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	26	10	36

Merged error: 0.0b

Counts

36 → 10

Compiler

Compiled 540 to 169 computations (68.7% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.3b	(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
0.3b	(/.f64 1 (log.f64 base))

rewrite14.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

27×	`add-sqr-sqrt_binary64`
26×	`times-frac_binary64`
21×	`*-un-lft-identity_binary64`
20×	`add-cube-cbrt_binary64`
16×	`associate-r_binary64`
15×	`add-exp-log_binary64`
12×	`pow1_binary64`
9×	`add-cbrt-cube_binary64`
7×	`log-pow_binary64`
4×	`associate-/r*_binary64` `prod-exp_binary64` `div-exp_binary64`
3×	`associate-l_binary64` `unswap-sqr_binary64` `associate-/l*_binary64`
2×	`add-log-exp_binary64` `cbrt-unprod_binary64` `1-exp_binary64` `cbrt-undiv_binary64` `rec-exp_binary64` `div-inv_binary64`
1×	`pow-prod-down_binary64` `associate-r/_binary64` `clear-num_binary64` `inv-pow_binary64` `frac-2neg_binary64` `un-div-inv_binary64` `pow-flip_binary64` `-commutative_binary64`

Counts

2 → 74

Calls

2 calls:

8.0ms	(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
4.0ms	(/.f64 1 (log.f64 base))

series23.0ms (0.6%)

Counts

2 → 6

Calls

2 calls:

13.0ms	(/.f64 1 (log.f64 base))
11.0ms	(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))

simplify76.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5165	875

prune62.0ms (1.5%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	76	4	80
Fresh	2	6	8
Picked	0	1	1
Done	0	1	1
Total	78	12	90

Merged error: 0.0b

Counts

90 → 12

Compiler

Compiled 1095 to 467 computations (57.4% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.4b	(/.f64 (log.f64 base) (atan2.f64 im re))
0.6b	(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))

rewrite16.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

108×	`times-frac_binary64`
60×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
19×	`associate-/r*_binary64` `pow1_binary64`
16×	`log-pow_binary64`
15×	`add-exp-log_binary64`
9×	`add-cbrt-cube_binary64`
8×	`div-exp_binary64`
7×	`associate-/l*_binary64`
6×	`div-inv_binary64`
4×	`cbrt-undiv_binary64`
2×	`add-log-exp_binary64` `1-exp_binary64` `clear-num_binary64` `frac-2neg_binary64` `rec-exp_binary64`
1×	`associate-/r/_binary64` `inv-pow_binary64` `pow-flip_binary64`

Counts

2 → 119

Calls

2 calls:

7.0ms	(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
4.0ms	(/.f64 (log.f64 base) (atan2.f64 im re))

series22.0ms (0.6%)

Counts

2 → 6

Calls

2 calls:

11.0ms	(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
11.0ms	(/.f64 (log.f64 base) (atan2.f64 im re))

simplify111.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	5128	2327

prune95.0ms (2.4%)

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	124	1	125
Fresh	0	9	9
Picked	0	1	1
Done	0	2	2
Total	124	13	137

Merged error: 0.0b

Counts

137 → 13

Compiler

Compiled 2008 to 574 computations (71.4% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 (atan2.f64 im re) (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 base) 3))))
0.3b	(/.f64 1 (pow.f64 (log.f64 base) 3))
0.7b	(cbrt.f64 (/.f64 1 (pow.f64 (log.f64 base) 3)))
0.8b	(pow.f64 (log.f64 base) 3)

rewrite45.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

134×	`times-frac_binary64`
106×	`add-sqr-sqrt_binary64`
101×	`cbrt-prod_binary64`
88×	`*-un-lft-identity_binary64`
84×	`add-cube-cbrt_binary64`
49×	`associate-r_binary64`
46×	`unpow-prod-down_binary64` `cube-prod_binary64`
29×	`pow1_binary64`
22×	`log-pow_binary64`
16×	`add-exp-log_binary64`
14×	`associate-/r*_binary64`
13×	`sqr-pow_binary64`
11×	`unpow3_binary64` `cube-mult_binary64`
10×	`unswap-sqr_binary64`
8×	`add-cbrt-cube_binary64`
6×	`div-exp_binary64`
4×	`pow-to-exp_binary64` `add-log-exp_binary64` `pow-exp_binary64`
3×	`pow-unpow_binary64` `1-exp_binary64` `associate-l_binary64` `rec-exp_binary64` `associate-/l*_binary64` `div-inv_binary64`
2×	`cbrt-div_binary64`
1×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `associate-r/_binary64` `pow1/3_binary64` `pow-pow_binary64` `clear-num_binary64` `inv-pow_binary64` `rem-cube-cbrt_binary64` `prod-exp_binary64` `frac-2neg_binary64` `pow-flip_binary64` `-commutative_binary64`

Counts

4 → 235

Calls

4 calls:

19.0ms	(*.f64 (atan2.f64 im re) (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 base) 3))))
6.0ms	(/.f64 1 (pow.f64 (log.f64 base) 3))
6.0ms	(cbrt.f64 (/.f64 1 (pow.f64 (log.f64 base) 3)))
3.0ms	(pow.f64 (log.f64 base) 3)

series93.0ms (2.3%)

Counts

4 → 12

Calls

4 calls:

39.0ms	(/.f64 1 (pow.f64 (log.f64 base) 3))
21.0ms	(cbrt.f64 (/.f64 1 (pow.f64 (log.f64 base) 3)))
19.0ms	(*.f64 (atan2.f64 im re) (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 base) 3))))
14.0ms	(pow.f64 (log.f64 base) 3)

simplify129.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

247 → 247

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	5045	3883

prune176.0ms (4.4%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	245	2	247
Fresh	2	7	9
Picked	1	0	1
Done	0	3	3
Total	248	12	260

Merged error: 0b

Counts

260 → 12

Compiler

Compiled 4155 to 2556 computations (38.5% saved)

regimes292.0ms (7.2%)

Compiler: Compiled 841 to 726 computations (13.7% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	9
1	7	9

end0.0ms (0%)

sample2.0s (49.1%)

Algorithm

1×

intervals

Results

807.0ms	8000×	body	80	valid
92.0ms	994×	body	80	nan

Compiler

Compiled 190 to 162 computations (14.7% saved)

Details

analyze446.0ms (11.1%)

sample37.0ms (0.9%)

simplify142.0ms (3.5%)

prune8.0ms (0.2%)

localize6.0ms (0.2%)

rewrite4.0ms (0.1%)

series14.0ms (0.3%)

simplify133.0ms (3.3%)

prune74.0ms (1.8%)

localize8.0ms (0.2%)

rewrite14.0ms (0.3%)

series23.0ms (0.6%)

simplify76.0ms (1.9%)

prune62.0ms (1.5%)

localize8.0ms (0.2%)

rewrite16.0ms (0.4%)

series22.0ms (0.6%)

simplify111.0ms (2.7%)

prune95.0ms (2.4%)

localize12.0ms (0.3%)

rewrite45.0ms (1.1%)

series93.0ms (2.3%)

simplify129.0ms (3.2%)

prune176.0ms (4.4%)

regimes292.0ms (7.2%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample2.0s (49.1%)

Profiling