Details

analyze98.0ms (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)

simplify8.0ms (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

0.9b

Counts

2 → 1

Compiler

Compiled 12 to 12 computations (0% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.9b	(/.f64 (atan2.f64 im re) (log.f64 10))

rewrite38.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

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

Counts

1 → 31

Calls

1 calls:

3.0ms

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

Compiler

Compiled 426 to 243 computations (43% saved)

series126.0ms (2.2%)

Error

0.9b

Counts

1 → 6

Calls

1 calls:

123.0ms

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

Compiler

Compiled 108 to 93 computations (13.9% saved)

simplify114.0ms (2%)

Algorithm

1×	egg-herbie

Counts

37 → 37

Iterations

Useful iterations: 0 (102.0ms)

Iter	Nodes	Cost
0	5096	545

prune39.0ms (0.7%)

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 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))))

rewrite228.0ms (4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

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×	`1-exp_binary64_122` `rec-exp_binary64_128` `add-log-exp_binary64_117`
1×	`pow-prod-down_binary64_149` `frac-times_binary64_88` `associate-l/_binary64_21` `associate-r/_binary64_20` `*-commutative_binary64_9` `frac-2neg_binary64_89` `clear-num_binary64_77`

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)

series306.0ms (5.4%)

Error

0.0b

Counts

2 → 12

Calls

2 calls:

167.0ms	(/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))
130.0ms	(*.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)

simplify101.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	5132	2661

prune153.0ms (2.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	141	3	144
Fresh	3	3	6
Picked	1	0	1
Done	0	1	1
Total	145	7	152

Error

0.0b

Counts

152 → 7

Compiler

Compiled 2670 to 1920 computations (28.1% 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))

rewrite217.0ms (3.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

47×	`times-frac_binary64_84`
45×	`add-sqr-sqrt_binary64_100`
37×	`*-un-lft-identity_binary64_78`
36×	`add-cube-cbrt_binary64_113`
31×	`add-exp-log_binary64_116` `sqrt-prod_binary64_94`
28×	`associate-l_binary64_19`
21×	`pow1_binary64_139`
20×	`associate-r_binary64_18`
19×	`add-cbrt-cube_binary64_114`
13×	`prod-exp_binary64_127`
10×	`log-pow_binary64_167`
7×	`cbrt-unprod_binary64_111`
6×	`div-exp_binary64_129`
4×	`associate-/r_binary64_22` `pow-prod-down_binary64_149` `associate-r/_binary64_20` `unswap-sqr_binary64_46`
3×	`1-exp_binary64_122` `rec-exp_binary64_128` `add-log-exp_binary64_117` `cbrt-undiv_binary64_112` `div-inv_binary64_75` `associate-/l*_binary64_23` `sqrt-div_binary64_95`
2×	`*-commutative_binary64_9`
1×	`inv-pow_binary64_163` `pow-flip_binary64_152` `frac-2neg_binary64_89` `clear-num_binary64_77` `frac-times_binary64_88` `associate-*l/_binary64_21`

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))))
5.0ms	(/.f64 1 (log.f64 10))

Compiler

Compiled 2900 to 2431 computations (16.2% saved)

series290.0ms (5.1%)

Error

0.0b

Counts

3 → 12

Calls

3 calls:

165.0ms	(*.f64 (atan2.f64 im re) (sqrt.f64 (/.f64 1 (log.f64 10))))
117.0ms	(.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)

simplify114.0ms (2%)

Algorithm

1×	egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 0 (85.0ms)

Iter	Nodes	Cost
0	5117	2247

prune165.0ms (2.9%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	136	0	136
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	136	7	143

Error

0.0b

Counts

143 → 7

Compiler

Compiled 2704 to 2240 computations (17.2% saved)

localize11.0ms (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))))))

rewrite477.0ms (8.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

129×	`sqrt-prod_binary64_94`
117×	`add-sqr-sqrt_binary64_100`
108×	`times-frac_binary64_84`
69×	`*-un-lft-identity_binary64_78`
63×	`add-cube-cbrt_binary64_113`
53×	`associate-l_binary64_19`
29×	`associate-r_binary64_18`
23×	`pow1_binary64_139`
19×	`add-exp-log_binary64_116` `add-cbrt-cube_binary64_114`
18×	`unswap-sqr_binary64_46`
13×	`log-pow_binary64_167`
10×	`sqrt-div_binary64_95`
7×	`prod-exp_binary64_127` `cbrt-unprod_binary64_111` `associate-/r*_binary64_22`
6×	`frac-times_binary64_88` `associate-*r/_binary64_20`
4×	`pow-prod-down_binary64_149` `associate-*l/_binary64_21` `div-inv_binary64_75`
3×	`div-exp_binary64_129` `add-log-exp_binary64_117` `cbrt-undiv_binary64_112` `associate-/l*_binary64_23`
2×	`*-commutative_binary64_9`
1×	`frac-2neg_binary64_89` `clear-num_binary64_77`

Counts

3 → 182

Calls

3 calls:

27.0ms

(*.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))))))

25.0ms

(*.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)

series701.0ms (12.4%)

Error

0.0b

Counts

3 → 18

Calls

3 calls:

387.0ms

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

165.0ms

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

133.0ms

(*.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)

simplify116.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

200 → 200

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4937	4664
1	4937	4664

prune362.0ms (6.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	198	2	200
Fresh	4	0	4
Picked	0	1	1
Done	1	1	2
Total	203	4	207

Error

Counts

207 → 4

Compiler

Compiled 5238 to 4305 computations (17.8% saved)

regimes331.0ms (5.9%)

Accuracy

Total 0.1b remaining (97.3%)

Threshold costs 0.1b (97.3%)

Compiler

Compiled 3748 to 3381 computations (9.8% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	24	60
1	24	60

end0.0ms (0%)

sample1.6s (28.3%)

Algorithm

1×

intervals

Results

296.0ms

8000×

body

128

valid

Compiler

Compiled 946 to 859 computations (9.2% saved)

Details

analyze98.0ms (1.7%)

sample18.0ms (0.3%)

simplify8.0ms (0.1%)

prune2.0ms (0%)

localize6.0ms (0.1%)

rewrite38.0ms (0.7%)

series126.0ms (2.2%)

simplify114.0ms (2%)

prune39.0ms (0.7%)

localize9.0ms (0.2%)

rewrite228.0ms (4%)

series306.0ms (5.4%)

simplify101.0ms (1.8%)

prune153.0ms (2.7%)

localize11.0ms (0.2%)

rewrite217.0ms (3.8%)

series290.0ms (5.1%)

simplify114.0ms (2%)

prune165.0ms (2.9%)

localize11.0ms (0.2%)

rewrite477.0ms (8.4%)

series701.0ms (12.4%)

simplify116.0ms (2.1%)

prune362.0ms (6.4%)

regimes331.0ms (5.9%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.6s (28.3%)

Profiling