Details

analyze100.0ms (3.2%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	18
1	9	18
0	2	2
1	2	2

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)

sample17.0ms (0.5%)

Algorithm

1×

intervals

Results

10.0ms

256×

body

128

valid

Compiler

Compiled 13 to 15 computations (-15.4% saved)

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	7	9
1	7	9

prune6.0ms (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: 0.9b

Counts

2 → 1

Compiler

Compiled 12 to 12 computations (0% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite5.0ms (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:

3.0ms

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

series41.0ms (1.3%)

Counts

1 → 3

Calls

1 calls:

41.0ms

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

simplify113.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 0 (103.0ms)

Iter	Nodes	Cost
0	5096	518

prune40.0ms (1.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	27	7	34
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	27	8	35

Merged error: 0.1b

Counts

35 → 8

Compiler

Compiled 509 to 308 computations (39.5% saved)

localize9.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.1b	(/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))
0.8b	(*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))))

rewrite39.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

92×	`add-sqr-sqrt_binary64_782`
85×	`times-frac_binary64_766`
52×	`*-un-lft-identity_binary64_760`
51×	`sqrt-prod_binary64_776`
46×	`add-cube-cbrt_binary64_795`
26×	`add-exp-log_binary64_798`
25×	`associate-r_binary64_700` `associate-l_binary64_701`
16×	`add-cbrt-cube_binary64_796`
15×	`unswap-sqr_binary64_728`
14×	`pow1_binary64_821`
10×	`log-pow_binary64_849`
9×	`div-exp_binary64_811`
8×	`prod-exp_binary64_809`
7×	`associate-/r*_binary64_704`
5×	`cbrt-undiv_binary64_794`
4×	`cbrt-unprod_binary64_793`
3×	`div-inv_binary64_757` `associate-/l*_binary64_705`
2×	`add-log-exp_binary64_799` `rec-exp_binary64_810` `1-exp_binary64_804`
1×	`frac-2neg_binary64_771` `associate-l/_binary64_703` `frac-times_binary64_770` `associate-r/_binary64_702` `clear-num_binary64_759` `pow-prod-down_binary64_831` `*-commutative_binary64_691`

Counts

2 → 132

Calls

2 calls:

22.0ms	(*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))))
4.0ms	(/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))

series97.0ms (3.2%)

Counts

2 → 6

Calls

2 calls:

58.0ms	(/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))
39.0ms	(*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))))

simplify95.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	5132	2592

prune160.0ms (5.2%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	134	4	138
Fresh	2	4	6
Picked	0	1	1
Done	1	0	1
Total	137	9	146

Merged error: 0.0b

Counts

146 → 9

Compiler

Compiled 2663 to 1917 computations (28% saved)

localize9.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.1b	(*.f64 (atan2.f64 im re) (/.f64 1 (sqrt.f64 (log.f64 10))))
0.8b	(.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (.f64 (atan2.f64 im re) (/.f64 1 (sqrt.f64 (log.f64 10)))))

rewrite39.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

76×	`add-exp-log_binary64_798`
46×	`times-frac_binary64_766`
43×	`add-sqr-sqrt_binary64_782`
40×	`prod-exp_binary64_809`
33×	`*-un-lft-identity_binary64_760`
31×	`add-cube-cbrt_binary64_795`
28×	`add-cbrt-cube_binary64_796` `associate-l_binary64_701`
26×	`sqrt-prod_binary64_776` `associate-r_binary64_700`
20×	`div-exp_binary64_811`
15×	`pow1_binary64_821`
12×	`cbrt-unprod_binary64_793`
10×	`rec-exp_binary64_810` `1-exp_binary64_804`
6×	`cbrt-undiv_binary64_794` `log-pow_binary64_849`
5×	`unswap-sqr_binary64_728` `associate-*r/_binary64_702`
4×	`pow-prod-down_binary64_831`
3×	`un-div-inv_binary64_758`
2×	`add-log-exp_binary64_799` `div-inv_binary64_757` `frac-times_binary64_770` `*-commutative_binary64_691`
1×	`associate-*l/_binary64_703`

Counts

2 → 117

Calls

2 calls:

16.0ms	(.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (.f64 (atan2.f64 im re) (/.f64 1 (sqrt.f64 (log.f64 10)))))
12.0ms	(*.f64 (atan2.f64 im re) (/.f64 1 (sqrt.f64 (log.f64 10))))

series87.0ms (2.8%)

Counts

2 → 6

Calls

2 calls:

52.0ms	(*.f64 (atan2.f64 im re) (/.f64 1 (sqrt.f64 (log.f64 10))))
35.0ms	(.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (.f64 (atan2.f64 im re) (/.f64 1 (sqrt.f64 (log.f64 10)))))

simplify127.0ms (4.1%)

Algorithm

1×	egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 0 (104.0ms)

Iter	Nodes	Cost
0	4735	1642
1	4735	1642

prune121.0ms (3.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	122	1	123
Fresh	5	2	7
Picked	0	1	1
Done	0	1	1
Total	127	5	132

Merged error: 0.0b

Counts

132 → 5

Compiler

Compiled 1978 to 1549 computations (21.7% saved)

localize12.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.8b	(.f64 (sqrt.f64 (/.f64 1 (sqrt.f64 (log.f64 10)))) (.f64 (atan2.f64 im re) (pow.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) 3/2)))
0.8b	(*.f64 (atan2.f64 im re) (pow.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) 3/2))

rewrite48.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

51×	`sqrt-prod_binary64_776`
48×	`add-sqr-sqrt_binary64_782`
46×	`times-frac_binary64_766`
35×	`*-un-lft-identity_binary64_760`
34×	`add-exp-log_binary64_798`
33×	`add-cube-cbrt_binary64_795`
31×	`associate-l_binary64_701`
30×	`associate-r_binary64_700` `unpow-prod-down_binary64_839`
19×	`prod-exp_binary64_809`
10×	`pow1_binary64_821`
9×	`add-cbrt-cube_binary64_796`
8×	`pow-exp_binary64_828`
7×	`unswap-sqr_binary64_728`
6×	`log-pow_binary64_849`
4×	`cbrt-unprod_binary64_793` `div-exp_binary64_811`
2×	`add-log-exp_binary64_799` `div-inv_binary64_757` `pow-to-exp_binary64_829` `sqr-pow_binary64_732` `rec-exp_binary64_810` `1-exp_binary64_804` `*-commutative_binary64_691`
1×	`associate-*l/_binary64_703` `sqrt-div_binary64_777` `pow-prod-down_binary64_831`

Counts

2 → 102

Calls

2 calls:

20.0ms	(.f64 (sqrt.f64 (/.f64 1 (sqrt.f64 (log.f64 10)))) (.f64 (atan2.f64 im re) (pow.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) 3/2)))
14.0ms	(*.f64 (atan2.f64 im re) (pow.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) 3/2))

series150.0ms (4.9%)

Counts

2 → 6

Calls

2 calls:

118.0ms	(*.f64 (atan2.f64 im re) (pow.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) 3/2))
32.0ms	(.f64 (sqrt.f64 (/.f64 1 (sqrt.f64 (log.f64 10)))) (.f64 (atan2.f64 im re) (pow.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) 3/2)))

simplify68.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5536	2642

prune174.0ms (5.6%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	107	1	108
Fresh	1	1	2
Picked	0	1	1
Done	0	2	2
Total	108	5	113

Merged error: 0b

Counts

113 → 5

Compiler

Compiled 2727 to 2335 computations (14.4% saved)

regimes396.0ms (12.9%)

Compiler: Compiled 2131 to 1866 computations (12.4% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	29
1	17	29

end0.0ms (0%)

sample1.1s (36%)

Algorithm

1×

intervals

Results

317.0ms

8000×

body

128

valid

Compiler

Compiled 534 to 471 computations (11.8% saved)

Details

analyze100.0ms (3.2%)

sample17.0ms (0.5%)

simplify7.0ms (0.2%)

prune6.0ms (0.2%)

localize5.0ms (0.2%)

rewrite5.0ms (0.2%)

series41.0ms (1.3%)

simplify113.0ms (3.7%)

prune40.0ms (1.3%)

localize9.0ms (0.3%)

rewrite39.0ms (1.3%)

series97.0ms (3.2%)

simplify95.0ms (3.1%)

prune160.0ms (5.2%)

localize9.0ms (0.3%)

rewrite39.0ms (1.3%)

series87.0ms (2.8%)

simplify127.0ms (4.1%)

prune121.0ms (3.9%)

localize12.0ms (0.4%)

rewrite48.0ms (1.6%)

series150.0ms (4.9%)

simplify68.0ms (2.2%)

prune174.0ms (5.6%)

regimes396.0ms (12.9%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.1s (36%)

Profiling