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)

sample16.0ms (0.4%)

Algorithm

1×

intervals

Results

9.0ms

256×

body

128

valid

Compiler

Compiled 13 to 15 computations (-15.4% saved)

simplify105.0ms (2.8%)

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

0.8b

Counts

2 → 1

Compiler

Compiled 12 to 12 computations (0% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.8b	(/.f64 (atan2.f64 im re) (log.f64 10))

rewrite5.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`times-frac_binary64_84`
10×	`add-sqr-sqrt_binary64_100` `add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
5×	`pow1_binary64_139`
4×	`associate-/r*_binary64_22` `log-pow_binary64_167`
3×	`add-cbrt-cube_binary64_114` `associate-/l*_binary64_23` `add-exp-log_binary64_116`
1×	`add-log-exp_binary64_117` `cbrt-undiv_binary64_112` `div-exp_binary64_129` `frac-2neg_binary64_89` `div-inv_binary64_75` `clear-num_binary64_77`

Counts

1 → 31

Calls

1 calls:

3.0ms

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

series129.0ms (3.5%)

Counts

1 → 6

Calls

1 calls:

129.0ms

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

Compiler

Compiled 88 to 88 computations (0% saved)

simplify115.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

37 → 37

Iterations

Useful iterations: 0 (104.0ms)

Iter	Nodes	Cost
0	5116	557

prune36.0ms (1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	30	7	37
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	30	8	38

Error

0.0b

Counts

38 → 8

Compiler

Compiled 535 to 329 computations (38.5% saved)

localize11.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.1b	(/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))
0.7b	(*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))))

rewrite41.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

92×	`add-sqr-sqrt_binary64_100`
85×	`times-frac_binary64_84`
52×	`*-un-lft-identity_binary64_78`
51×	`sqrt-prod_binary64_94`
46×	`add-cube-cbrt_binary64_113`
26×	`add-exp-log_binary64_116`
25×	`associate-l_binary64_19` `associate-r_binary64_18`
16×	`add-cbrt-cube_binary64_114`
15×	`unswap-sqr_binary64_46`
14×	`pow1_binary64_139`
10×	`log-pow_binary64_167`
9×	`div-exp_binary64_129`
8×	`prod-exp_binary64_127`
7×	`associate-/r*_binary64_22`
5×	`cbrt-undiv_binary64_112`
4×	`cbrt-unprod_binary64_111`
3×	`div-inv_binary64_75` `associate-/l*_binary64_23`
2×	`add-log-exp_binary64_117` `1-exp_binary64_122` `rec-exp_binary64_128`
1×	`-commutative_binary64_9` `frac-2neg_binary64_89` `frac-times_binary64_88` `associate-l/_binary64_21` `pow-prod-down_binary64_149` `associate-*r/_binary64_20` `clear-num_binary64_77`

Counts

2 → 132

Calls

2 calls:

23.0ms	(*.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)))

series276.0ms (7.4%)

Counts

2 → 12

Calls

2 calls:

152.0ms	(/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))
124.0ms	(*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))))

Compiler

Compiled 284 to 284 computations (0% saved)

simplify97.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	5160	2685

prune156.0ms (4.2%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	141	3	144
Fresh	3	3	6
Picked	1	0	1
Done	1	0	1
Total	146	6	152

Error

0.0b

Counts

152 → 6

Compiler

Compiled 2680 to 1936 computations (27.8% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.1b	(*.f64 (atan2.f64 im re) (/.f64 1 (sqrt.f64 (log.f64 10))))
0.7b	(.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (.f64 (atan2.f64 im re) (/.f64 1 (sqrt.f64 (log.f64 10)))))

rewrite43.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

76×	`add-exp-log_binary64_116`
46×	`times-frac_binary64_84`
43×	`add-sqr-sqrt_binary64_100`
40×	`prod-exp_binary64_127`
33×	`*-un-lft-identity_binary64_78`
31×	`add-cube-cbrt_binary64_113`
28×	`add-cbrt-cube_binary64_114` `associate-l_binary64_19`
26×	`sqrt-prod_binary64_94` `associate-r_binary64_18`
20×	`div-exp_binary64_129`
15×	`pow1_binary64_139`
12×	`cbrt-unprod_binary64_111`
10×	`1-exp_binary64_122` `rec-exp_binary64_128`
6×	`cbrt-undiv_binary64_112` `log-pow_binary64_167`
5×	`unswap-sqr_binary64_46` `associate-*r/_binary64_20`
4×	`pow-prod-down_binary64_149`
3×	`un-div-inv_binary64_76`
2×	`*-commutative_binary64_9` `add-log-exp_binary64_117` `div-inv_binary64_75` `frac-times_binary64_88`
1×	`associate-*l/_binary64_21`

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))))

series292.0ms (7.9%)

Counts

2 → 12

Calls

2 calls:

165.0ms	(*.f64 (atan2.f64 im re) (/.f64 1 (sqrt.f64 (log.f64 10))))
126.0ms	(.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (.f64 (atan2.f64 im re) (/.f64 1 (sqrt.f64 (log.f64 10)))))

Compiler

Compiled 284 to 284 computations (0% saved)

simplify116.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (90.0ms)

Iter	Nodes	Cost
0	4794	1735
1	4794	1735

prune131.0ms (3.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	128	1	129
Fresh	2	3	5
Picked	0	1	1
Done	0	0	0
Total	130	5	135

Error

0.0b

Counts

135 → 5

Compiler

Compiled 2069 to 1635 computations (21% saved)

localize12.0ms (0.3%)

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))

rewrite47.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

51×	`sqrt-prod_binary64_94`
48×	`add-sqr-sqrt_binary64_100`
46×	`times-frac_binary64_84`
35×	`*-un-lft-identity_binary64_78`
34×	`add-exp-log_binary64_116`
33×	`add-cube-cbrt_binary64_113`
31×	`associate-l_binary64_19`
30×	`unpow-prod-down_binary64_157` `associate-r_binary64_18`
19×	`prod-exp_binary64_127`
10×	`pow1_binary64_139`
9×	`add-cbrt-cube_binary64_114`
8×	`pow-exp_binary64_146`
7×	`unswap-sqr_binary64_46`
6×	`log-pow_binary64_167`
4×	`cbrt-unprod_binary64_111` `div-exp_binary64_129`
2×	`*-commutative_binary64_9` `pow-to-exp_binary64_147` `add-log-exp_binary64_117` `1-exp_binary64_122` `sqr-pow_binary64_50` `div-inv_binary64_75` `rec-exp_binary64_128`
1×	`associate-*l/_binary64_21` `pow-prod-down_binary64_149` `sqrt-div_binary64_95`

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)))
15.0ms	(*.f64 (atan2.f64 im re) (pow.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) 3/2))

series537.0ms (14.5%)

Counts

2 → 12

Calls

2 calls:

413.0ms	(*.f64 (atan2.f64 im re) (pow.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) 3/2))
124.0ms	(.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)))

Compiler

Compiled 332 to 332 computations (0% saved)

simplify65.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5576	2747

prune182.0ms (4.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	113	1	114
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	114	5	119

Error

Counts

119 → 5

Compiler

Compiled 2818 to 2416 computations (14.3% saved)

regimes200.0ms (5.4%)

Accuracy

Total 0.1b remaining (98.1%)

Threshold costs 0.1b (98.1%)

Compiler

Compiled 2179 to 1850 computations (15.1% 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 (29%)

Algorithm

1×

intervals

Results

303.0ms

8000×

body

128

valid

Compiler

Compiled 548 to 469 computations (14.4% saved)

Details

analyze4.0ms (0.1%)

sample16.0ms (0.4%)

simplify105.0ms (2.8%)

prune2.0ms (0.1%)

localize5.0ms (0.1%)

rewrite5.0ms (0.1%)

series129.0ms (3.5%)

simplify115.0ms (3.1%)

prune36.0ms (1%)

localize11.0ms (0.3%)

rewrite41.0ms (1.1%)

series276.0ms (7.4%)

simplify97.0ms (2.6%)

prune156.0ms (4.2%)

localize8.0ms (0.2%)

rewrite43.0ms (1.2%)

series292.0ms (7.9%)

simplify116.0ms (3.1%)

prune131.0ms (3.5%)

localize12.0ms (0.3%)

rewrite47.0ms (1.3%)

series537.0ms (14.5%)

simplify65.0ms (1.8%)

prune182.0ms (4.9%)

regimes200.0ms (5.4%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.1s (29%)

Profiling