Details

analyze4.0ms (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)

sample16.0ms (0.4%)

Algorithm

1×

intervals

Results

10.0ms

256×

body

128

valid

Compiler

Compiled 13 to 15 computations (-15.4% saved)

simplify97.0ms (2.5%)

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

0.9b

Counts

2 → 1

Compiler

Compiled 12 to 12 computations (0% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite5.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

1 → 31

Calls

1 calls:

4.0ms

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

series136.0ms (3.6%)

Counts

1 → 6

Calls

1 calls:

136.0ms

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

Compiler

Compiled 72 to 72 computations (0% saved)

simplify118.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

37 → 37

Iterations

Useful iterations: 0 (107.0ms)

Iter	Nodes	Cost
0	5096	545

prune39.0ms (1%)

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

0.0b

Counts

38 → 8

Compiler

Compiled 544 to 326 computations (40.1% 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))))

rewrite42.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

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

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)))

series287.0ms (7.5%)

Counts

2 → 12

Calls

2 calls:

166.0ms	(/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))
121.0ms	(*.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)

simplify98.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	5132	2661

prune351.0ms (9.2%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	139	5	144
Fresh	1	6	7
Picked	1	0	1
Done	0	0	0
Total	141	11	152

Error

0.0b

Counts

152 → 11

Compiler

Compiled 2769 to 1998 computations (27.8% saved)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

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)))))

rewrite40.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

76×	`add-exp-log_binary64_798`
46×	`times-frac_binary64_766`
43×	`add-sqr-sqrt_binary64_782`
40×	`prod-exp_binary64_809`
33×	`*-un-lft-identity_binary64_760`
31×	`add-cube-cbrt_binary64_795`
28×	`add-cbrt-cube_binary64_796` `associate-l_binary64_701`
26×	`sqrt-prod_binary64_776` `associate-r_binary64_700`
20×	`div-exp_binary64_811`
15×	`pow1_binary64_821`
12×	`cbrt-unprod_binary64_793`
10×	`rec-exp_binary64_810` `1-exp_binary64_804`
6×	`cbrt-undiv_binary64_794` `log-pow_binary64_849`
5×	`unswap-sqr_binary64_728` `associate-*r/_binary64_702`
4×	`pow-prod-down_binary64_831`
3×	`un-div-inv_binary64_758`
2×	`add-log-exp_binary64_799` `div-inv_binary64_757` `frac-times_binary64_770` `*-commutative_binary64_691`
1×	`associate-*l/_binary64_703`

Counts

2 → 117

Calls

2 calls:

16.0ms	(.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (.f64 (atan2.f64 im re) (/.f64 1 (sqrt.f64 (log.f64 10)))))
12.0ms	(*.f64 (atan2.f64 im re) (/.f64 1 (sqrt.f64 (log.f64 10))))

series276.0ms (7.2%)

Counts

2 → 12

Calls

2 calls:

153.0ms	(*.f64 (atan2.f64 im re) (/.f64 1 (sqrt.f64 (log.f64 10))))
123.0ms	(.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)

simplify125.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (101.0ms)

Iter	Nodes	Cost
0	4735	1711
1	4735	1711

prune127.0ms (3.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	128	1	129
Fresh	7	3	10
Picked	0	1	1
Done	0	0	0
Total	135	5	140

Error

0.0b

Counts

140 → 5

Compiler

Compiled 2059 to 1611 computations (21.8% saved)

localize12.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

rewrite49.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

51×	`sqrt-prod_binary64_776`
48×	`add-sqr-sqrt_binary64_782`
46×	`times-frac_binary64_766`
35×	`*-un-lft-identity_binary64_760`
34×	`add-exp-log_binary64_798`
33×	`add-cube-cbrt_binary64_795`
31×	`associate-l_binary64_701`
30×	`associate-r_binary64_700` `unpow-prod-down_binary64_839`
19×	`prod-exp_binary64_809`
10×	`pow1_binary64_821`
9×	`add-cbrt-cube_binary64_796`
8×	`pow-exp_binary64_828`
7×	`unswap-sqr_binary64_728`
6×	`log-pow_binary64_849`
4×	`cbrt-unprod_binary64_793` `div-exp_binary64_811`
2×	`add-log-exp_binary64_799` `div-inv_binary64_757` `pow-to-exp_binary64_829` `sqr-pow_binary64_732` `rec-exp_binary64_810` `1-exp_binary64_804` `*-commutative_binary64_691`
1×	`associate-*l/_binary64_703` `sqrt-div_binary64_777` `pow-prod-down_binary64_831`

Counts

2 → 102

Calls

2 calls:

20.0ms	(.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)))
18.0ms	(*.f64 (atan2.f64 im re) (pow.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) 3/2))

series495.0ms (12.9%)

Counts

2 → 12

Calls

2 calls:

375.0ms	(*.f64 (atan2.f64 im re) (pow.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) 3/2))
120.0ms	(.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)

simplify76.0ms (2%)

Algorithm

1×	egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5536	2723

prune176.0ms (4.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	113	1	114
Fresh	2	1	3
Picked	0	1	1
Done	0	1	1
Total	115	4	119

Error

Counts

119 → 4

Compiler

Compiled 2802 to 2392 computations (14.6% saved)

regimes186.0ms (4.9%)

Accuracy

Total 0.1b remaining (99.8%)

Threshold costs 0.1b (99.8%)

Compiler

Compiled 1899 to 1698 computations (10.6% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	29
1	17	29

end0.0ms (0%)

sample1.0s (27.1%)

Algorithm

1×

intervals

Results

313.0ms

8000×

body

128

valid

Compiler

Compiled 478 to 431 computations (9.8% saved)

Details

analyze4.0ms (0.1%)

sample16.0ms (0.4%)

simplify97.0ms (2.5%)

prune2.0ms (0.1%)

localize5.0ms (0.1%)

rewrite5.0ms (0.1%)

series136.0ms (3.6%)

simplify118.0ms (3.1%)

prune39.0ms (1%)

localize9.0ms (0.2%)

rewrite42.0ms (1.1%)

series287.0ms (7.5%)

simplify98.0ms (2.6%)

prune351.0ms (9.2%)

localize9.0ms (0.2%)

rewrite40.0ms (1%)

series276.0ms (7.2%)

simplify125.0ms (3.3%)

prune127.0ms (3.3%)

localize12.0ms (0.3%)

rewrite49.0ms (1.3%)

series495.0ms (12.9%)

simplify76.0ms (2%)

prune176.0ms (4.6%)

regimes186.0ms (4.9%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.0s (27.1%)

Profiling