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)

sample17.0ms (0.5%)

Algorithm

1×

intervals

Results

10.0ms

256×

body

128

valid

Compiler

Compiled 13 to 15 computations (-15.4% saved)

simplify98.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	7	9
1	7	9

prune7.0ms (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

Error

0.8b

Counts

2 → 1

Compiler

Compiled 12 to 12 computations (0% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

rewrite6.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`times-frac_binary64_77`
10×	`*-un-lft-identity_binary64_71` `add-cube-cbrt_binary64_106` `add-sqr-sqrt_binary64_93`
5×	`pow1_binary64_132`
4×	`associate-/r*_binary64_15` `log-pow_binary64_160`
3×	`add-cbrt-cube_binary64_107` `add-exp-log_binary64_109` `associate-/l*_binary64_16`
1×	`div-exp_binary64_122` `add-log-exp_binary64_110` `clear-num_binary64_70` `div-inv_binary64_68` `cbrt-undiv_binary64_105` `frac-2neg_binary64_82`

Counts

1 → 31

Calls

2 calls:

3.0ms	(/.f64 (atan2.f64 im re) (log.f64 10))
0.0ms	(/.f64 (atan2.f64 im re) (log.f64 10))

series122.0ms (3.3%)

Counts

1 → 6

Calls

1 calls:

122.0ms

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

Compiler

Compiled 72 to 72 computations (0% saved)

simplify117.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

37 → 37

Iterations

Useful iterations: 0 (103.0ms)

Iter	Nodes	Cost
0	5096	545

prune43.0ms (1.2%)

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 527 to 317 computations (39.8% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite42.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

92×	`add-sqr-sqrt_binary64_93`
85×	`times-frac_binary64_77`
52×	`*-un-lft-identity_binary64_71`
51×	`sqrt-prod_binary64_87`
46×	`add-cube-cbrt_binary64_106`
26×	`add-exp-log_binary64_109`
25×	`associate-r_binary64_11` `associate-l_binary64_12`
16×	`add-cbrt-cube_binary64_107`
15×	`unswap-sqr_binary64_39`
14×	`pow1_binary64_132`
10×	`log-pow_binary64_160`
9×	`div-exp_binary64_122`
8×	`prod-exp_binary64_120`
7×	`associate-/r*_binary64_15`
5×	`cbrt-undiv_binary64_105`
4×	`cbrt-unprod_binary64_104`
3×	`div-inv_binary64_68` `associate-/l*_binary64_16`
2×	`add-log-exp_binary64_110` `rec-exp_binary64_121` `1-exp_binary64_115`
1×	`clear-num_binary64_70` `frac-times_binary64_81` `associate-l/_binary64_14` `-commutative_binary64_2` `pow-prod-down_binary64_142` `frac-2neg_binary64_82` `associate-*r/_binary64_13`

Counts

2 → 132

Calls

4 calls:

24.0ms	(*.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)))
0.0ms	(/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))
0.0ms	(*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))))

series287.0ms (7.7%)

Counts

2 → 12

Calls

2 calls:

163.0ms	(/.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 252 to 252 computations (0% saved)

simplify100.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	5132	2661

prune176.0ms (4.7%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	139	5	144
Fresh	1	5	6
Picked	1	0	1
Done	1	0	1
Total	142	10	152

Error

0.0b

Counts

152 → 10

Compiler

Compiled 2768 to 1996 computations (27.9% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite40.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

76×	`add-exp-log_binary64_109`
46×	`times-frac_binary64_77`
43×	`add-sqr-sqrt_binary64_93`
40×	`prod-exp_binary64_120`
33×	`*-un-lft-identity_binary64_71`
31×	`add-cube-cbrt_binary64_106`
28×	`add-cbrt-cube_binary64_107` `associate-l_binary64_12`
26×	`associate-r_binary64_11` `sqrt-prod_binary64_87`
20×	`div-exp_binary64_122`
15×	`pow1_binary64_132`
12×	`cbrt-unprod_binary64_104`
10×	`rec-exp_binary64_121` `1-exp_binary64_115`
6×	`log-pow_binary64_160` `cbrt-undiv_binary64_105`
5×	`unswap-sqr_binary64_39` `associate-*r/_binary64_13`
4×	`pow-prod-down_binary64_142`
3×	`un-div-inv_binary64_69`
2×	`add-log-exp_binary64_110` `div-inv_binary64_68` `frac-times_binary64_81` `*-commutative_binary64_2`
1×	`associate-*l/_binary64_14`

Counts

2 → 117

Calls

4 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))))
0.0ms	(*.f64 (atan2.f64 im re) (/.f64 1 (sqrt.f64 (log.f64 10))))
0.0ms	(.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (.f64 (atan2.f64 im re) (/.f64 1 (sqrt.f64 (log.f64 10)))))

series294.0ms (7.9%)

Counts

2 → 12

Calls

2 calls:

162.0ms	(*.f64 (atan2.f64 im re) (/.f64 1 (sqrt.f64 (log.f64 10))))
132.0ms	(.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (.f64 (atan2.f64 im re) (/.f64 1 (sqrt.f64 (log.f64 10)))))

Compiler

Compiled 252 to 252 computations (0% saved)

simplify133.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (107.0ms)

Iter	Nodes	Cost
0	4735	1711
1	4735	1711

prune132.0ms (3.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	128	1	129
Fresh	4	5	9
Picked	0	1	1
Done	0	0	0
Total	132	7	139

Error

Counts

139 → 7

Compiler

Compiled 2101 to 1649 computations (21.5% saved)

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite46.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

51×	`sqrt-prod_binary64_87`
48×	`add-sqr-sqrt_binary64_93`
46×	`times-frac_binary64_77`
35×	`*-un-lft-identity_binary64_71`
34×	`add-exp-log_binary64_109`
33×	`add-cube-cbrt_binary64_106`
31×	`associate-l_binary64_12`
30×	`associate-r_binary64_11` `unpow-prod-down_binary64_150`
19×	`prod-exp_binary64_120`
10×	`pow1_binary64_132`
9×	`add-cbrt-cube_binary64_107`
8×	`pow-exp_binary64_139`
7×	`unswap-sqr_binary64_39`
6×	`log-pow_binary64_160`
4×	`div-exp_binary64_122` `cbrt-unprod_binary64_104`
2×	`pow-to-exp_binary64_140` `add-log-exp_binary64_110` `sqr-pow_binary64_43` `div-inv_binary64_68` `*-commutative_binary64_2` `rec-exp_binary64_121` `1-exp_binary64_115`
1×	`sqrt-div_binary64_88` `associate-*l/_binary64_14` `pow-prod-down_binary64_142`

Counts

2 → 102

Calls

4 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))
0.0ms	(.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)))
0.0ms	(*.f64 (atan2.f64 im re) (pow.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) 3/2))

series530.0ms (14.2%)

Counts

2 → 12

Calls

2 calls:

401.0ms	(*.f64 (atan2.f64 im re) (pow.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) 3/2))
129.0ms	(.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 300 to 300 computations (0% saved)

simplify68.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5536	2723

prune182.0ms (4.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	113	1	114
Fresh	4	1	5
Picked	0	1	1
Done	1	0	1
Total	118	3	121

Error

Counts

121 → 3

Compiler

Compiled 2802 to 2392 computations (14.6% saved)

regimes199.0ms (5.3%)

Accuracy

Total 0.1b remaining (98%)

Threshold costs 0.1b (98%)

Compiler

Compiled 2051 to 1742 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 (28.3%)

Algorithm

1×

intervals

Results

305.0ms

8000×

body

128

valid

Compiler

Compiled 514 to 440 computations (14.4% saved)

Pareto

Details

analyze4.0ms (0.1%)

sample17.0ms (0.5%)

simplify98.0ms (2.6%)

prune7.0ms (0.2%)

localize6.0ms (0.1%)

rewrite6.0ms (0.2%)

series122.0ms (3.3%)

simplify117.0ms (3.1%)

prune43.0ms (1.2%)

localize9.0ms (0.2%)

rewrite42.0ms (1.1%)

series287.0ms (7.7%)

simplify100.0ms (2.7%)

prune176.0ms (4.7%)

localize9.0ms (0.2%)

rewrite40.0ms (1.1%)

series294.0ms (7.9%)

simplify133.0ms (3.5%)

prune132.0ms (3.5%)

localize13.0ms (0.3%)

rewrite46.0ms (1.2%)

series530.0ms (14.2%)

simplify68.0ms (1.8%)

prune182.0ms (4.9%)

regimes199.0ms (5.3%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.1s (28.3%)

Profiling