Details

analyze97.0ms (1.7%)

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)

simplify7.0ms (0.1%)

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%)

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))

rewrite32.0ms (0.6%)

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)

series128.0ms (2.2%)

Error

0.8b

Counts

1 → 6

Calls

1 calls:

125.0ms

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

Compiler

Compiled 108 to 93 computations (13.9% saved)

simplify115.0ms (2%)

Algorithm

1×	egg-herbie

Counts

37 → 37

Iterations

Useful iterations: 0 (104.0ms)

Iter	Nodes	Cost
0	5096	545

prune38.0ms (0.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	29	8	37
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	29	9	38

Error

0.0b

Counts

38 → 9

Compiler

Compiled 535 to 325 computations (39.3% saved)

localize9.0ms (0.1%)

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))))

rewrite229.0ms (4%)

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:

22.0ms	(*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))))
7.0ms	(/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))

Compiler

Compiled 3174 to 2417 computations (23.9% saved)

series285.0ms (4.9%)

Error

0.0b

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 378 to 345 computations (8.7% saved)

simplify98.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	5132	2661

prune161.0ms (2.8%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	140	4	144
Fresh	2	5	7
Picked	1	0	1
Done	0	1	1
Total	143	10	153

Error

0.0b

Counts

153 → 10

Compiler

Compiled 2718 to 1960 computations (27.9% saved)

localize11.0ms (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 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))

rewrite218.0ms (3.8%)

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 (/.f64 1 (sqrt.f64 (log.f64 10))) (.f64 (atan2.f64 im re) (sqrt.f64 (/.f64 1 (log.f64 10)))))
10.0ms	(*.f64 (atan2.f64 im re) (sqrt.f64 (/.f64 1 (log.f64 10))))
6.0ms	(/.f64 1 (log.f64 10))

Compiler

Compiled 2900 to 2431 computations (16.2% saved)

series281.0ms (4.9%)

Error

0.0b

Counts

3 → 12

Calls

3 calls:

154.0ms	(*.f64 (atan2.f64 im re) (sqrt.f64 (/.f64 1 (log.f64 10))))
119.0ms	(.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)

simplify113.0ms (2%)

Algorithm

1×	egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 0 (85.0ms)

Iter	Nodes	Cost
0	5117	2247

prune172.0ms (3%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	136	0	136
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	136	10	146

Error

0.0b

Counts

146 → 10

Compiler

Compiled 2752 to 2280 computations (17.2% saved)

localize13.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.1b

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

0.1b

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

0.8b

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

rewrite524.0ms (9.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

129×	`sqrt-prod_binary64_776`
117×	`add-sqr-sqrt_binary64_782`
108×	`times-frac_binary64_766`
69×	`*-un-lft-identity_binary64_760`
63×	`add-cube-cbrt_binary64_795`
53×	`associate-l_binary64_701`
29×	`associate-r_binary64_700`
23×	`pow1_binary64_821`
19×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796`
18×	`unswap-sqr_binary64_728`
13×	`log-pow_binary64_849`
10×	`sqrt-div_binary64_777`
7×	`prod-exp_binary64_809` `cbrt-unprod_binary64_793` `associate-/r*_binary64_704`
6×	`frac-times_binary64_770` `associate-*r/_binary64_702`
4×	`pow-prod-down_binary64_831` `associate-*l/_binary64_703` `div-inv_binary64_757`
3×	`div-exp_binary64_811` `add-log-exp_binary64_799` `cbrt-undiv_binary64_794` `associate-/l*_binary64_705`
2×	`*-commutative_binary64_691`
1×	`frac-2neg_binary64_771` `clear-num_binary64_759`

Counts

3 → 182

Calls

3 calls:

25.0ms

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

23.0ms

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

4.0ms

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

Compiler

Compiled 5918 to 4979 computations (15.9% saved)

series671.0ms (11.6%)

Error

0.0b

Counts

3 → 18

Calls

3 calls:

373.0ms

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

158.0ms

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

124.0ms

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

Compiler

Compiled 864 to 813 computations (5.9% saved)

simplify114.0ms (2%)

Algorithm

1×	egg-herbie

Counts

200 → 200

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4937	4664
1	4937	4664

prune368.0ms (6.4%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	197	3	200
Fresh	5	2	7
Picked	1	0	1
Done	0	2	2
Total	203	7	210

Error

Counts

210 → 7

Compiler

Compiled 5238 to 4305 computations (17.8% saved)

regimes354.0ms (6.1%)

Accuracy

Total 0.1b remaining (98.2%)

Threshold costs 0.1b (98.2%)

Compiler

Compiled 4168 to 3861 computations (7.4% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	51
1	19	51

end0.0ms (0%)

sample1.7s (29.7%)

Algorithm

1×

intervals

Results

294.0ms

8000×

body

128

valid

Compiler

Compiled 1052 to 980 computations (6.8% saved)

Details

analyze97.0ms (1.7%)

sample18.0ms (0.3%)

simplify7.0ms (0.1%)

prune2.0ms (0%)

localize5.0ms (0.1%)

rewrite32.0ms (0.6%)

series128.0ms (2.2%)

simplify115.0ms (2%)

prune38.0ms (0.7%)

localize9.0ms (0.1%)

rewrite229.0ms (4%)

series285.0ms (4.9%)

simplify98.0ms (1.7%)

prune161.0ms (2.8%)

localize11.0ms (0.2%)

rewrite218.0ms (3.8%)

series281.0ms (4.9%)

simplify113.0ms (2%)

prune172.0ms (3%)

localize13.0ms (0.2%)

rewrite524.0ms (9.1%)

series671.0ms (11.6%)

simplify114.0ms (2%)

prune368.0ms (6.4%)

regimes354.0ms (6.1%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.7s (29.7%)

Profiling