Details

analyze8.0ms (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)

sample28.0ms (0.3%)

Algorithm

1×

intervals

Results

17.0ms

256×

body

128

valid

Compiler

Compiled 13 to 15 computations (-15.4% saved)

simplify110.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	7	9
1	7	9

prune3.0ms (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)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

rewrite10.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`times-frac_binary64_1107`
10×	`add-sqr-sqrt_binary64_1123` `*-un-lft-identity_binary64_1101` `add-cube-cbrt_binary64_1136`
5×	`pow1_binary64_1162`
4×	`log-pow_binary64_1190` `associate-/r*_binary64_1045`
3×	`add-exp-log_binary64_1139` `associate-/l*_binary64_1046` `add-cbrt-cube_binary64_1137`
1×	`add-log-exp_binary64_1140` `frac-2neg_binary64_1112` `clear-num_binary64_1100` `div-inv_binary64_1098` `div-exp_binary64_1152` `cbrt-undiv_binary64_1135`

Counts

1 → 31

Calls

2 calls:

6.0ms	(/.f64 (atan2.f64 im re) (log.f64 10))
0.0ms	(/.f64 (atan2.f64 im re) (log.f64 10))

series138.0ms (1.6%)

Counts

1 → 6

Calls

1 calls:

138.0ms

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

Compiler

Compiled 72 to 72 computations (0% saved)

simplify126.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

37 → 37

Iterations

Useful iterations: 0 (116.0ms)

Iter	Nodes	Cost
0	5096	545

prune67.0ms (0.8%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	29	8	37
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	30	8	38

Error

0.1b

Counts

38 → 8

Compiler

Compiled 526 to 316 computations (39.9% saved)

localize9.0ms (0.1%)

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))))

rewrite55.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

92×	`add-sqr-sqrt_binary64_1123`
85×	`times-frac_binary64_1107`
52×	`*-un-lft-identity_binary64_1101`
51×	`sqrt-prod_binary64_1117`
46×	`add-cube-cbrt_binary64_1136`
26×	`add-exp-log_binary64_1139`
25×	`associate-r_binary64_1041` `associate-l_binary64_1042`
16×	`add-cbrt-cube_binary64_1137`
15×	`unswap-sqr_binary64_1069`
14×	`pow1_binary64_1162`
10×	`log-pow_binary64_1190`
9×	`div-exp_binary64_1152`
8×	`prod-exp_binary64_1150`
7×	`associate-/r*_binary64_1045`
5×	`cbrt-undiv_binary64_1135`
4×	`cbrt-unprod_binary64_1134`
3×	`div-inv_binary64_1098` `associate-/l*_binary64_1046`
2×	`1-exp_binary64_1145` `add-log-exp_binary64_1140` `rec-exp_binary64_1151`
1×	`-commutative_binary64_1032` `frac-times_binary64_1111` `frac-2neg_binary64_1112` `clear-num_binary64_1100` `associate-r/_binary64_1043` `pow-prod-down_binary64_1172` `associate-*l/_binary64_1044`

Counts

2 → 132

Calls

4 calls:

34.0ms	(*.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)))
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))))

series405.0ms (4.6%)

Counts

2 → 12

Calls

2 calls:

224.0ms	(/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))
181.0ms	(*.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)

simplify166.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 0 (116.0ms)

Iter	Nodes	Cost
0	5132	2661

prune237.0ms (2.7%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	139	5	144
Fresh	3	4	7
Picked	1	0	1
Done	0	0	0
Total	143	9	152

Error

0.0b

Counts

152 → 9

Compiler

Compiled 2750 to 1979 computations (28% saved)

localize9.0ms (0.1%)

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)))))

rewrite84.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

76×	`add-exp-log_binary64_1139`
46×	`times-frac_binary64_1107`
43×	`add-sqr-sqrt_binary64_1123`
40×	`prod-exp_binary64_1150`
33×	`*-un-lft-identity_binary64_1101`
31×	`add-cube-cbrt_binary64_1136`
28×	`add-cbrt-cube_binary64_1137` `associate-l_binary64_1042`
26×	`sqrt-prod_binary64_1117` `associate-r_binary64_1041`
20×	`div-exp_binary64_1152`
15×	`pow1_binary64_1162`
12×	`cbrt-unprod_binary64_1134`
10×	`1-exp_binary64_1145` `rec-exp_binary64_1151`
6×	`cbrt-undiv_binary64_1135` `log-pow_binary64_1190`
5×	`associate-*r/_binary64_1043` `unswap-sqr_binary64_1069`
4×	`pow-prod-down_binary64_1172`
3×	`un-div-inv_binary64_1099`
2×	`*-commutative_binary64_1032` `frac-times_binary64_1111` `add-log-exp_binary64_1140` `div-inv_binary64_1098`
1×	`associate-*l/_binary64_1044`

Counts

2 → 117

Calls

4 calls:

33.0ms	(.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (.f64 (atan2.f64 im re) (/.f64 1 (sqrt.f64 (log.f64 10)))))
25.0ms	(*.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)))))

series446.0ms (5%)

Counts

2 → 12

Calls

2 calls:

244.0ms	(*.f64 (atan2.f64 im re) (/.f64 1 (sqrt.f64 (log.f64 10))))
202.0ms	(.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)

simplify173.0ms (2%)

Algorithm

1×	egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (149.0ms)

Iter	Nodes	Cost
0	4735	1711
1	4735	1711

prune209.0ms (2.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	127	2	129
Fresh	5	3	8
Picked	0	1	1
Done	0	0	0
Total	132	6	138

Error

Counts

138 → 6

Compiler

Compiled 2103 to 1650 computations (21.5% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.9b	(*.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)))
0.9b	(*.f64 (atan2.f64 im re) (pow.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) 3/2))

rewrite85.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

51×	`sqrt-prod_binary64_1117`
48×	`add-sqr-sqrt_binary64_1123`
46×	`times-frac_binary64_1107`
35×	`*-un-lft-identity_binary64_1101`
34×	`add-exp-log_binary64_1139`
33×	`add-cube-cbrt_binary64_1136`
31×	`associate-l_binary64_1042`
30×	`unpow-prod-down_binary64_1180` `associate-r_binary64_1041`
19×	`prod-exp_binary64_1150`
10×	`pow1_binary64_1162`
9×	`add-cbrt-cube_binary64_1137`
8×	`pow-exp_binary64_1169`
7×	`unswap-sqr_binary64_1069`
6×	`log-pow_binary64_1190`
4×	`cbrt-unprod_binary64_1134` `div-exp_binary64_1152`
2×	`*-commutative_binary64_1032` `1-exp_binary64_1145` `add-log-exp_binary64_1140` `div-inv_binary64_1098` `rec-exp_binary64_1151` `sqr-pow_binary64_1073` `pow-to-exp_binary64_1170`
1×	`pow-prod-down_binary64_1172` `sqrt-div_binary64_1118` `associate-*l/_binary64_1044`

Counts

2 → 102

Calls

4 calls:

38.0ms	(.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)))
21.0ms	(*.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))

series732.0ms (8.3%)

Counts

2 → 12

Calls

2 calls:

583.0ms	(*.f64 (atan2.f64 im re) (pow.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) 3/2))
148.0ms	(.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)

simplify95.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	5536	2723

prune283.0ms (3.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	111	3	114
Fresh	4	0	4
Picked	0	1	1
Done	0	1	1
Total	115	5	120

Error

Counts

120 → 5

Compiler

Compiled 2802 to 2392 computations (14.6% saved)

simplify26.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	133	1021
1	133	1021

regimes402.0ms (4.5%)

Accuracy

Total 0.1b remaining (99.9%)

Threshold costs 0.1b (99.9%)

Compiler

Compiled 2490 to 2239 computations (10.1% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	29
1	17	29

end0.0ms (0%)

sample4.9s (55.5%)

Algorithm

1×

intervals

Results

441.0ms

8000×

body

128

valid

Compiler

Compiled 1801 to 1614 computations (10.4% saved)

Pareto

0.6115648402831528

Details

analyze8.0ms (0.1%)

sample28.0ms (0.3%)

simplify110.0ms (1.3%)

prune3.0ms (0%)

localize10.0ms (0.1%)

rewrite10.0ms (0.1%)

series138.0ms (1.6%)

simplify126.0ms (1.4%)

prune67.0ms (0.8%)

localize9.0ms (0.1%)

rewrite55.0ms (0.6%)

series405.0ms (4.6%)

simplify166.0ms (1.9%)

prune237.0ms (2.7%)

localize9.0ms (0.1%)

rewrite84.0ms (1%)

series446.0ms (5%)

simplify173.0ms (2%)

prune209.0ms (2.4%)

localize13.0ms (0.1%)

rewrite85.0ms (1%)

series732.0ms (8.3%)

simplify95.0ms (1.1%)

prune283.0ms (3.2%)

simplify26.0ms (0.3%)

regimes402.0ms (4.5%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample4.9s (55.5%)

Profiling