Details

analyze101.0ms (2.3%)

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

Symmetry

Compiler

Compiled 7 to 7 computations (0% saved)

sample19.0ms (0.4%)

Algorithm

1×

intervals

Results

10.0ms

256×

body

128

valid

Compiler

Compiled 13 to 15 computations (-15.4% saved)

simplify7.0ms (0.2%)

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

Error

0.8b

Counts

2 → 1

Compiler

Compiled 12 to 12 computations (0% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite32.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

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)

series139.0ms (3.1%)

Error

0.8b

Counts

1 → 6

Calls

1 calls:

136.0ms

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

Compiler

Compiled 108 to 93 computations (13.9% saved)

simplify112.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

37 → 37

Iterations

Useful iterations: 0 (101.0ms)

Iter	Nodes	Cost
0	5096	545

prune35.0ms (0.8%)

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

0.1b

Counts

38 → 8

Compiler

Compiled 518 to 308 computations (40.5% 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))))

rewrite230.0ms (5.2%)

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:

21.0ms	(*.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)

series307.0ms (6.9%)

Error

0.0b

Counts

2 → 12

Calls

2 calls:

167.0ms	(/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))
132.0ms	(*.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)

simplify100.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	5132	2661

prune158.0ms (3.6%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	139	5	144
Fresh	2	4	6
Picked	1	0	1
Done	1	0	1
Total	143	9	152

Error

0.0b

Counts

152 → 9

Compiler

Compiled 2749 to 1982 computations (27.9% saved)

localize13.0ms (0.3%)

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))

rewrite215.0ms (4.8%)

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:

14.0ms	(.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (.f64 (atan2.f64 im re) (sqrt.f64 (/.f64 1 (log.f64 10)))))
9.0ms	(*.f64 (atan2.f64 im re) (sqrt.f64 (/.f64 1 (log.f64 10))))
3.0ms	(/.f64 1 (log.f64 10))

Compiler

Compiled 2900 to 2431 computations (16.2% saved)

series284.0ms (6.4%)

Error

0.0b

Counts

3 → 12

Calls

3 calls:

165.0ms	(*.f64 (atan2.f64 im re) (sqrt.f64 (/.f64 1 (log.f64 10))))
112.0ms	(.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)

simplify111.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 0 (84.0ms)

Iter	Nodes	Cost
0	5117	2247

prune172.0ms (3.9%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	134	2	136
Fresh	3	5	8
Picked	0	1	1
Done	0	0	0
Total	137	8	145

Error

0.0b

Counts

145 → 8

Compiler

Compiled 2765 to 2290 computations (17.2% saved)

localize12.0ms (0.3%)

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))

rewrite154.0ms (3.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

35×	`add-sqr-sqrt_binary64_100`
33×	`times-frac_binary64_84`
27×	`*-un-lft-identity_binary64_78` `sqrt-prod_binary64_94`
26×	`add-cube-cbrt_binary64_113`
19×	`associate-r_binary64_18`
15×	`pow1_binary64_139`
14×	`add-exp-log_binary64_116`
12×	`add-cbrt-cube_binary64_114`
11×	`associate-/r*_binary64_22`
9×	`log-pow_binary64_167`
4×	`div-exp_binary64_129` `associate-/l*_binary64_23` `unswap-sqr_binary64_46`
3×	`add-log-exp_binary64_117` `cbrt-undiv_binary64_112` `div-inv_binary64_75` `associate-l_binary64_19`
2×	`frac-2neg_binary64_89` `clear-num_binary64_77` `prod-exp_binary64_127` `cbrt-unprod_binary64_111` `sqrt-div_binary64_95` `associate-*r/_binary64_20`
1×	`inv-pow_binary64_163` `pow-flip_binary64_152` `1-exp_binary64_122` `rec-exp_binary64_128` `associate-/l/_binary64_25` `pow-prod-down_binary64_149` `*-commutative_binary64_9`

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)

series301.0ms (6.8%)

Error

0.0b

Counts

3 → 12

Calls

3 calls:

171.0ms	(*.f64 (atan2.f64 im re) (sqrt.f64 (/.f64 1 (log.f64 10))))
124.0ms	(/.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)

simplify96.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	5457	1781

prune117.0ms (2.6%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	114	1	115
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	114	9	123

Error

0.0b

Counts

123 → 9

Compiler

Compiled 1970 to 1578 computations (19.9% saved)

regimes289.0ms (6.5%)

Accuracy

Total 0.8b remaining (98.5%)

Threshold costs 0.8b (98.5%)

Compiler

Compiled 3272 to 2769 computations (15.4% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	21
1	15	21

Removed

()

end0.0ms (0%)

sample1.4s (31.9%)

Algorithm

1×

intervals

Results

301.0ms

8000×

body

128

valid

Compiler

Compiled 811 to 690 computations (14.9% saved)

Details

analyze101.0ms (2.3%)

sample19.0ms (0.4%)

simplify7.0ms (0.2%)

prune2.0ms (0.1%)

localize6.0ms (0.1%)

rewrite32.0ms (0.7%)

series139.0ms (3.1%)

simplify112.0ms (2.5%)

prune35.0ms (0.8%)

localize9.0ms (0.2%)

rewrite230.0ms (5.2%)

series307.0ms (6.9%)

simplify100.0ms (2.3%)

prune158.0ms (3.6%)

localize13.0ms (0.3%)

rewrite215.0ms (4.8%)

series284.0ms (6.4%)

simplify111.0ms (2.5%)

prune172.0ms (3.9%)

localize12.0ms (0.3%)

rewrite154.0ms (3.5%)

series301.0ms (6.8%)

simplify96.0ms (2.2%)

prune117.0ms (2.6%)

regimes289.0ms (6.5%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.4s (31.9%)

Profiling