Details

analyze122.0ms (2.2%)

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)

sample18.0ms (0.3%)

Algorithm

1×

intervals

Results

9.0ms

256×

body

128

valid

Compiler

Compiled 13 to 15 computations (-15.4% saved)

simplify10.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	7	9
1	7	9

prune4.0ms (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)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite41.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

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

Counts

1 → 31

Calls

1 calls:

3.0ms

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

Compiler

Compiled 426 to 243 computations (43% saved)

series131.0ms (2.3%)

Error

0.8b

Counts

1 → 6

Calls

1 calls:

128.0ms

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

Compiler

Compiled 108 to 93 computations (13.9% saved)

simplify143.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

37 → 37

Iterations

Useful iterations: 0 (131.0ms)

Iter	Nodes	Cost
0	5096	545

prune36.0ms (0.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	31	6	37
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	31	7	38

Error

0.0b

Counts

38 → 7

Compiler

Compiled 506 to 300 computations (40.7% saved)

localize8.0ms (0.1%)

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))))

rewrite263.0ms (4.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

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-l_binary64_701` `associate-r_binary64_700`
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×	`1-exp_binary64_804` `rec-exp_binary64_810` `add-log-exp_binary64_799`
1×	`pow-prod-down_binary64_831` `frac-times_binary64_770` `associate-l/_binary64_703` `associate-r/_binary64_702` `*-commutative_binary64_691` `frac-2neg_binary64_771` `clear-num_binary64_759`

Counts

2 → 132

Calls

2 calls:

25.0ms	(*.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)))

Compiler

Compiled 3174 to 2417 computations (23.9% saved)

series369.0ms (6.6%)

Error

0.0b

Counts

2 → 12

Calls

2 calls:

210.0ms	(/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))
151.0ms	(*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))))

Compiler

Compiled 378 to 345 computations (8.7% saved)

simplify125.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 0 (88.0ms)

Iter	Nodes	Cost
0	5132	2661

prune218.0ms (3.9%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	139	5	144
Fresh	1	4	5
Picked	1	0	1
Done	0	1	1
Total	141	10	151

Error

0.0b

Counts

151 → 10

Compiler

Compiled 2741 to 1971 computations (28.1% saved)

localize12.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.1b	(*.f64 (atan2.f64 im re) (sqrt.f64 (/.f64 1 (log.f64 10))))
0.7b	(.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (.f64 (atan2.f64 im re) (sqrt.f64 (/.f64 1 (log.f64 10)))))
1.0b	(/.f64 1 (log.f64 10))

rewrite271.0ms (4.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

47×	`times-frac_binary64_766`
45×	`add-sqr-sqrt_binary64_782`
37×	`*-un-lft-identity_binary64_760`
36×	`add-cube-cbrt_binary64_795`
31×	`add-exp-log_binary64_798` `sqrt-prod_binary64_776`
28×	`associate-l_binary64_701`
21×	`pow1_binary64_821`
20×	`associate-r_binary64_700`
19×	`add-cbrt-cube_binary64_796`
13×	`prod-exp_binary64_809`
10×	`log-pow_binary64_849`
7×	`cbrt-unprod_binary64_793`
6×	`div-exp_binary64_811`
4×	`associate-/r_binary64_704` `pow-prod-down_binary64_831` `associate-r/_binary64_702` `unswap-sqr_binary64_728`
3×	`1-exp_binary64_804` `rec-exp_binary64_810` `add-log-exp_binary64_799` `cbrt-undiv_binary64_794` `div-inv_binary64_757` `associate-/l*_binary64_705` `sqrt-div_binary64_777`
2×	`*-commutative_binary64_691`
1×	`inv-pow_binary64_845` `pow-flip_binary64_834` `frac-2neg_binary64_771` `clear-num_binary64_759` `frac-times_binary64_770` `associate-*l/_binary64_703`

Counts

3 → 124

Calls

3 calls:

15.0ms	(*.f64 (atan2.f64 im re) (sqrt.f64 (/.f64 1 (log.f64 10))))
14.0ms	(.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (.f64 (atan2.f64 im re) (sqrt.f64 (/.f64 1 (log.f64 10)))))
4.0ms	(/.f64 1 (log.f64 10))

Compiler

Compiled 2900 to 2431 computations (16.2% saved)

series354.0ms (6.4%)

Error

0.0b

Counts

3 → 12

Calls

3 calls:

175.0ms	(*.f64 (atan2.f64 im re) (sqrt.f64 (/.f64 1 (log.f64 10))))
169.0ms	(.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (.f64 (atan2.f64 im re) (sqrt.f64 (/.f64 1 (log.f64 10)))))
0.0ms	(/.f64 1 (log.f64 10))

Compiler

Compiled 378 to 345 computations (8.7% saved)

simplify125.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 0 (98.0ms)

Iter	Nodes	Cost
0	5117	2247

prune197.0ms (3.5%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	135	1	136
Fresh	1	7	8
Picked	0	1	1
Done	1	0	1
Total	137	9	146

Error

0.0b

Counts

146 → 9

Compiler

Compiled 2780 to 2296 computations (17.4% saved)

localize12.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.1b	(*.f64 (atan2.f64 im re) (sqrt.f64 (/.f64 1 (log.f64 10))))
0.8b	(/.f64 (*.f64 (atan2.f64 im re) (sqrt.f64 (/.f64 1 (log.f64 10)))) (sqrt.f64 (log.f64 10)))
1.0b	(/.f64 1 (log.f64 10))

rewrite183.0ms (3.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

35×	`add-sqr-sqrt_binary64_782`
33×	`times-frac_binary64_766`
27×	`*-un-lft-identity_binary64_760` `sqrt-prod_binary64_776`
26×	`add-cube-cbrt_binary64_795`
19×	`associate-r_binary64_700`
15×	`pow1_binary64_821`
14×	`add-exp-log_binary64_798`
12×	`add-cbrt-cube_binary64_796`
11×	`associate-/r*_binary64_704`
9×	`log-pow_binary64_849`
4×	`div-exp_binary64_811` `associate-/l*_binary64_705` `unswap-sqr_binary64_728`
3×	`add-log-exp_binary64_799` `cbrt-undiv_binary64_794` `div-inv_binary64_757` `associate-l_binary64_701`
2×	`frac-2neg_binary64_771` `clear-num_binary64_759` `prod-exp_binary64_809` `cbrt-unprod_binary64_793` `sqrt-div_binary64_777` `associate-*r/_binary64_702`
1×	`inv-pow_binary64_845` `pow-flip_binary64_834` `1-exp_binary64_804` `rec-exp_binary64_810` `associate-/l/_binary64_707` `pow-prod-down_binary64_831` `*-commutative_binary64_691`

Counts

3 → 103

Calls

3 calls:

10.0ms	(*.f64 (atan2.f64 im re) (sqrt.f64 (/.f64 1 (log.f64 10))))
9.0ms	(/.f64 (*.f64 (atan2.f64 im re) (sqrt.f64 (/.f64 1 (log.f64 10)))) (sqrt.f64 (log.f64 10)))
3.0ms	(/.f64 1 (log.f64 10))

Compiler

Compiled 2116 to 1727 computations (18.4% saved)

series350.0ms (6.3%)

Error

0.0b

Counts

3 → 12

Calls

3 calls:

180.0ms	(*.f64 (atan2.f64 im re) (sqrt.f64 (/.f64 1 (log.f64 10))))
155.0ms	(/.f64 (*.f64 (atan2.f64 im re) (sqrt.f64 (/.f64 1 (log.f64 10)))) (sqrt.f64 (log.f64 10)))
0.0ms	(/.f64 1 (log.f64 10))

Compiler

Compiled 342 to 309 computations (9.6% saved)

simplify116.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 0 (93.0ms)

Iter	Nodes	Cost
0	5457	1781

prune137.0ms (2.5%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	114	1	115
Fresh	1	6	7
Picked	0	1	1
Done	0	1	1
Total	115	9	124

Error

0.0b

Counts

124 → 9

Compiler

Compiled 1970 to 1578 computations (19.9% saved)

regimes404.0ms (7.2%)

Accuracy

Total 0.8b remaining (98.9%)

Threshold costs 0.8b (98.9%)

Compiler

Compiled 3512 to 2921 computations (16.8% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	24
1	16	24

end0.0ms (0%)

sample1.9s (34.3%)

Algorithm

1×

intervals

Results

381.0ms

8000×

body

128

valid

Compiler

Compiled 873 to 730 computations (16.4% saved)

Details

analyze122.0ms (2.2%)

sample18.0ms (0.3%)

simplify10.0ms (0.2%)

prune4.0ms (0.1%)

localize8.0ms (0.1%)

rewrite41.0ms (0.7%)

series131.0ms (2.3%)

simplify143.0ms (2.6%)

prune36.0ms (0.6%)

localize8.0ms (0.1%)

rewrite263.0ms (4.7%)

series369.0ms (6.6%)

simplify125.0ms (2.2%)

prune218.0ms (3.9%)

localize12.0ms (0.2%)

rewrite271.0ms (4.9%)

series354.0ms (6.4%)

simplify125.0ms (2.2%)

prune197.0ms (3.5%)

localize12.0ms (0.2%)

rewrite183.0ms (3.3%)

series350.0ms (6.3%)

simplify116.0ms (2.1%)

prune137.0ms (2.5%)

regimes404.0ms (7.2%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.9s (34.3%)

Profiling