Details

analyze4.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
50%	50%	0.1%	2
74.9%	25%	0.1%	3
87.4%	12.5%	0.1%	4
93.7%	6.2%	0.1%	5
96.8%	3.1%	0.1%	6
98.3%	1.6%	0.1%	7
99.1%	0.8%	0.1%	8
99.5%	0.4%	0.1%	9
99.7%	0.2%	0.1%	10
99.8%	0.1%	0.1%	11
99.9%	0%	0.1%	12
99.9%	0%	0.1%	13
99.9%	0%	0.1%	14

Compiler

Compiled 7 to 7 computations (0% saved)

sample21.0ms (0.6%)

Algorithm

1×

intervals

Results

14.0ms

256×

body

128

valid

Compiler

Compiled 13 to 15 computations (-15.4% saved)

simplify96.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	7	9
1	7	9

prune2.0ms (0.1%)

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

Error

0.9b

Counts

2 → 1

Compiler

Compiled 12 to 12 computations (0% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.9b	(/.f64 (atan2.f64 im re) (log.f64 10))

rewrite6.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`times-frac_binary64_766`
10×	`*-un-lft-identity_binary64_760` `add-cube-cbrt_binary64_795` `add-sqr-sqrt_binary64_782`
5×	`pow1_binary64_821`
4×	`associate-/r*_binary64_704` `log-pow_binary64_849`
3×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796` `associate-/l*_binary64_705`
1×	`frac-2neg_binary64_771` `cbrt-undiv_binary64_794` `add-log-exp_binary64_799` `div-inv_binary64_757` `div-exp_binary64_811` `clear-num_binary64_759`

Counts

1 → 31

Calls

1 calls:

4.0ms

(/.f64 (atan2.f64 im re) (log.f64 10))

series36.0ms (1%)

Counts

1 → 3

Calls

1 calls:

36.0ms

(/.f64 (atan2.f64 im re) (log.f64 10))

simplify117.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 0 (103.0ms)

Iter	Nodes	Cost
0	5096	518

prune33.0ms (0.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	28	6	34
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	28	7	35

Error

0.1b

Counts

35 → 7

Compiler

Compiled 485 to 287 computations (40.8% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.1b	(/.f64 1 (/.f64 (log.f64 10) (atan2.f64 im re)))
0.9b	(/.f64 (log.f64 10) (atan2.f64 im re))

rewrite21.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

108×	`times-frac_binary64_766`
60×	`*-un-lft-identity_binary64_760` `add-cube-cbrt_binary64_795` `add-sqr-sqrt_binary64_782`
19×	`associate-/r*_binary64_704` `pow1_binary64_821`
16×	`log-pow_binary64_849`
15×	`add-exp-log_binary64_798`
9×	`add-cbrt-cube_binary64_796`
8×	`div-exp_binary64_811`
7×	`associate-/l*_binary64_705`
6×	`div-inv_binary64_757`
4×	`cbrt-undiv_binary64_794`
2×	`frac-2neg_binary64_771` `add-log-exp_binary64_799` `rec-exp_binary64_810` `clear-num_binary64_759` `1-exp_binary64_804`
1×	`associate-/r/_binary64_706` `inv-pow_binary64_845` `pow-flip_binary64_834`

Counts

2 → 119

Calls

2 calls:

7.0ms	(/.f64 1 (/.f64 (log.f64 10) (atan2.f64 im re)))
4.0ms	(/.f64 (log.f64 10) (atan2.f64 im re))

series70.0ms (2%)

Counts

2 → 6

Calls

2 calls:

36.0ms	(/.f64 (log.f64 10) (atan2.f64 im re))
34.0ms	(/.f64 1 (/.f64 (log.f64 10) (atan2.f64 im re)))

simplify115.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 0 (87.0ms)

Iter	Nodes	Cost
0	4877	2327
1	4877	2327

prune112.0ms (3.1%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	122	3	125
Fresh	0	5	5
Picked	1	0	1
Done	0	1	1
Total	123	9	132

Error

0.0b

Counts

132 → 9

Compiler

Compiled 1979 to 1219 computations (38.4% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.9b	(/.f64 (log.f64 10) (atan2.f64 im re))
2.5b	(cbrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re)))
2.5b	(cbrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re)))
2.5b	(cbrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re)))

rewrite24.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

48×	`cbrt-prod_binary64_791` `times-frac_binary64_766`
37×	`*-un-lft-identity_binary64_760` `add-cube-cbrt_binary64_795` `add-sqr-sqrt_binary64_782`
17×	`pow1_binary64_821`
13×	`log-pow_binary64_849`
6×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796`
4×	`add-log-exp_binary64_799` `div-inv_binary64_757` `associate-/l*_binary64_705`
3×	`pow1/3_binary64_842` `associate-/r*_binary64_704` `cbrt-div_binary64_792`
1×	`frac-2neg_binary64_771` `cbrt-undiv_binary64_794` `div-exp_binary64_811` `clear-num_binary64_759`

Counts

4 → 106

Calls

4 calls:

4.0ms	(/.f64 (log.f64 10) (atan2.f64 im re))
3.0ms	(cbrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re)))
3.0ms	(cbrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re)))
3.0ms	(cbrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re)))

series300.0ms (8.5%)

Counts

4 → 12

Calls

4 calls:

92.0ms	(cbrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re)))
91.0ms	(cbrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re)))
83.0ms	(cbrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re)))
34.0ms	(/.f64 (log.f64 10) (atan2.f64 im re))

simplify63.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5113	2210

prune221.0ms (6.2%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	115	3	118
Fresh	1	6	7
Picked	1	0	1
Done	1	0	1
Total	118	9	127

Error

0.0b

Counts

127 → 9

Compiler

Compiled 4173 to 2764 computations (33.8% saved)

localize20.0ms (0.6%)

Local error

Found 4 expressions with local error:

1.0b	(cbrt.f64 (sqrt.f64 (log.f64 10)))
2.5b	(cbrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re)))
2.5b	(cbrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re)))
3.3b	(cbrt.f64 (/.f64 (sqrt.f64 (log.f64 10)) (atan2.f64 im re)))

rewrite24.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

64×	`cbrt-prod_binary64_791`
45×	`times-frac_binary64_766`
36×	`*-un-lft-identity_binary64_760` `add-cube-cbrt_binary64_795` `add-sqr-sqrt_binary64_782`
16×	`sqrt-prod_binary64_776`
14×	`pow1_binary64_821`
10×	`log-pow_binary64_849`
4×	`pow1/3_binary64_842` `add-exp-log_binary64_798` `add-log-exp_binary64_799` `add-cbrt-cube_binary64_796`
3×	`div-inv_binary64_757` `cbrt-div_binary64_792`

Counts

4 → 99

Calls

4 calls:

4.0ms	(cbrt.f64 (/.f64 (sqrt.f64 (log.f64 10)) (atan2.f64 im re)))
3.0ms	(cbrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re)))
3.0ms	(cbrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re)))
2.0ms	(cbrt.f64 (sqrt.f64 (log.f64 10)))

series297.0ms (8.4%)

Counts

4 → 10

Calls

4 calls:

127.0ms	(cbrt.f64 (/.f64 (sqrt.f64 (log.f64 10)) (atan2.f64 im re)))
87.0ms	(cbrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re)))
82.0ms	(cbrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re)))
0.0ms	(cbrt.f64 (sqrt.f64 (log.f64 10)))

simplify87.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4820	2292
1	4820	2292

prune253.0ms (7.1%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	106	3	109
Fresh	1	7	8
Picked	0	1	1
Done	0	0	0
Total	107	11	118

Error

0.0b

Counts

118 → 11

Compiler

Compiled 4392 to 3144 computations (28.4% saved)

regimes266.0ms (7.5%)

Accuracy

Total 0.7b remaining (98.2%)

Threshold costs 0.7b (98.2%)

Compiler

Compiled 3103 to 2478 computations (20.1% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	28	94
1	28	94

end0.0ms (0%)

sample1.3s (37.6%)

Algorithm

1×

intervals

Results

307.0ms

8000×

body

128

valid

Compiler

Compiled 817 to 650 computations (20.4% saved)

Details

analyze4.0ms (0.1%)

sample21.0ms (0.6%)

simplify96.0ms (2.7%)

prune2.0ms (0.1%)

localize6.0ms (0.2%)

rewrite6.0ms (0.2%)

series36.0ms (1%)

simplify117.0ms (3.3%)

prune33.0ms (0.9%)

localize7.0ms (0.2%)

rewrite21.0ms (0.6%)

series70.0ms (2%)

simplify115.0ms (3.2%)

prune112.0ms (3.1%)

localize12.0ms (0.3%)

rewrite24.0ms (0.7%)

series300.0ms (8.5%)

simplify63.0ms (1.8%)

prune221.0ms (6.2%)

localize20.0ms (0.6%)

rewrite24.0ms (0.7%)

series297.0ms (8.4%)

simplify87.0ms (2.4%)

prune253.0ms (7.1%)

regimes266.0ms (7.5%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.3s (37.6%)

Profiling