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 (0.5%)

Algorithm

1×

intervals

Results

10.0ms

256×

body

128

valid

Compiler

Compiled 13 to 15 computations (-15.4% saved)

simplify95.0ms (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

Merged error: 0.9b

Counts

2 → 1

Compiler

Compiled 12 to 12 computations (0% saved)

localize10.0ms (0.3%)

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_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))

series104.0ms (2.9%)

Counts

1 → 6

Calls

1 calls:

104.0ms

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

simplify109.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

37 → 37

Iterations

Useful iterations: 0 (99.0ms)

Iter	Nodes	Cost
0	5096	545

prune41.0ms (1.1%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	28	9	37
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	29	9	38

Merged error: 0.0b

Counts

38 → 9

Compiler

Compiled 553 to 331 computations (40.1% saved)

localize9.0ms (0.2%)

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))))

rewrite44.0ms (1.2%)

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)))

series262.0ms (7.3%)

Counts

2 → 12

Calls

2 calls:

147.0ms	(/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))
114.0ms	(*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))))

simplify95.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	5132	2661

prune157.0ms (4.4%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	139	5	144
Fresh	4	4	8
Picked	1	0	1
Done	0	0	0
Total	144	9	153

Merged error: 0b

Counts

153 → 9

Compiler

Compiled 2751 to 1977 computations (28.1% saved)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(*.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)))))

rewrite44.0ms (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:

17.0ms	(.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))))

series265.0ms (7.4%)

Counts

2 → 12

Calls

2 calls:

149.0ms	(*.f64 (atan2.f64 im re) (/.f64 1 (sqrt.f64 (log.f64 10))))
116.0ms	(.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (.f64 (atan2.f64 im re) (/.f64 1 (sqrt.f64 (log.f64 10)))))

simplify127.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (102.0ms)

Iter	Nodes	Cost
0	4735	1711
1	4735	1711

prune128.0ms (3.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	128	1	129
Fresh	4	4	8
Picked	0	1	1
Done	0	0	0
Total	132	6	138

Merged error: 0b

Counts

138 → 6

Compiler

Compiled 2080 to 1626 computations (21.8% 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)))
0.9b	(*.f64 (atan2.f64 im re) (pow.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) 3/2))

rewrite50.0ms (1.4%)

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:

21.0ms	(.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)))
17.0ms	(*.f64 (atan2.f64 im re) (pow.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) 3/2))

series532.0ms (14.9%)

Counts

2 → 12

Calls

2 calls:

421.0ms	(*.f64 (atan2.f64 im re) (pow.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) 3/2))
111.0ms	(.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)))

simplify65.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5536	2723

prune182.0ms (5.1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	113	1	114
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	114	6	120

Merged error: 0b

Counts

120 → 6

Compiler

Compiled 2802 to 2392 computations (14.6% saved)

regimes194.0ms (5.4%)

Compiler: Compiled 1919 to 1618 computations (15.7% 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%)

sample1.0s (28.4%)

Algorithm

1×

intervals

Results

303.0ms

8000×

body

128

valid

Compiler

Compiled 479 to 407 computations (15% saved)

Details

analyze4.0ms (0.1%)

sample16.0ms (0.5%)

simplify95.0ms (2.7%)

prune2.0ms (0.1%)

localize10.0ms (0.3%)

rewrite5.0ms (0.2%)

series104.0ms (2.9%)

simplify109.0ms (3.1%)

prune41.0ms (1.1%)

localize9.0ms (0.2%)

rewrite44.0ms (1.2%)

series262.0ms (7.3%)

simplify95.0ms (2.6%)

prune157.0ms (4.4%)

localize9.0ms (0.2%)

rewrite44.0ms (1.2%)

series265.0ms (7.4%)

simplify127.0ms (3.5%)

prune128.0ms (3.6%)

localize12.0ms (0.3%)

rewrite50.0ms (1.4%)

series532.0ms (14.9%)

simplify65.0ms (1.8%)

prune182.0ms (5.1%)

regimes194.0ms (5.4%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.0s (28.4%)

Profiling