Details

analyze97.0ms (3.3%)

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

Compiler

Compiled 7 to 7 computations (0% saved)

sample16.0ms (0.5%)

Algorithm

1×

intervals

Results

9.0ms

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)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite5.0ms (0.2%)

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:

3.0ms

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

series35.0ms (1.2%)

Counts

1 → 3

Calls

1 calls:

34.0ms

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

simplify110.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 0 (101.0ms)

Iter	Nodes	Cost
0	5096	518

prune39.0ms (1.3%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	26	8	34
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	26	9	35

Error

0.0b

Counts

35 → 9

Compiler

Compiled 513 to 312 computations (39.2% saved)

localize9.0ms (0.3%)

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))))

rewrite39.0ms (1.3%)

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:

20.0ms	(*.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)))

series85.0ms (2.9%)

Counts

2 → 6

Calls

2 calls:

51.0ms	(/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))
34.0ms	(*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))))

simplify94.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	5132	2592

prune155.0ms (5.2%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	132	6	138
Fresh	4	3	7
Picked	1	0	1
Done	1	0	1
Total	138	9	147

Error

0.0b

Counts

147 → 9

Compiler

Compiled 2694 to 1937 computations (28.1% saved)

localize8.0ms (0.3%)

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)))))

rewrite39.0ms (1.3%)

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:

15.0ms	(.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (.f64 (atan2.f64 im re) (/.f64 1 (sqrt.f64 (log.f64 10)))))
11.0ms	(*.f64 (atan2.f64 im re) (/.f64 1 (sqrt.f64 (log.f64 10))))

series86.0ms (2.9%)

Counts

2 → 6

Calls

2 calls:

55.0ms	(*.f64 (atan2.f64 im re) (/.f64 1 (sqrt.f64 (log.f64 10))))
31.0ms	(.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (.f64 (atan2.f64 im re) (/.f64 1 (sqrt.f64 (log.f64 10)))))

simplify124.0ms (4.2%)

Algorithm

1×	egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 0 (102.0ms)

Iter	Nodes	Cost
0	4735	1642
1	4735	1642

prune126.0ms (4.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	122	1	123
Fresh	4	4	8
Picked	0	1	1
Done	0	0	0
Total	126	6	132

Error

Counts

132 → 6

Compiler

Compiled 2059 to 1611 computations (21.8% saved)

localize15.0ms (0.5%)

Local error

Found 2 expressions with local error:

0.7b	(.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))

rewrite43.0ms (1.5%)

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:

18.0ms	(.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)))
14.0ms	(*.f64 (atan2.f64 im re) (pow.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) 3/2))

series152.0ms (5.1%)

Counts

2 → 6

Calls

2 calls:

114.0ms	(*.f64 (atan2.f64 im re) (pow.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) 3/2))
37.0ms	(.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)))

simplify61.0ms (2%)

Algorithm

1×	egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5536	2642

prune164.0ms (5.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	108	0	108
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	108	6	114

Error

Counts

114 → 6

Compiler

Compiled 2727 to 2335 computations (14.4% saved)

regimes394.0ms (13.2%)

Accuracy

Total 0.1b remaining (97.1%)

Threshold costs 0.1b (97.1%)

Compiler

Compiled 2167 to 1786 computations (17.6% 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%)

sample1.1s (35.8%)

Algorithm

1×

intervals

Results

305.0ms

8000×

body

128

valid

Compiler

Compiled 541 to 449 computations (17% saved)

Details

analyze97.0ms (3.3%)

sample16.0ms (0.5%)

simplify7.0ms (0.2%)

prune2.0ms (0.1%)

localize5.0ms (0.2%)

rewrite5.0ms (0.2%)

series35.0ms (1.2%)

simplify110.0ms (3.7%)

prune39.0ms (1.3%)

localize9.0ms (0.3%)

rewrite39.0ms (1.3%)

series85.0ms (2.9%)

simplify94.0ms (3.2%)

prune155.0ms (5.2%)

localize8.0ms (0.3%)

rewrite39.0ms (1.3%)

series86.0ms (2.9%)

simplify124.0ms (4.2%)

prune126.0ms (4.2%)

localize15.0ms (0.5%)

rewrite43.0ms (1.5%)

series152.0ms (5.1%)

simplify61.0ms (2%)

prune164.0ms (5.5%)

regimes394.0ms (13.2%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.1s (35.8%)

Profiling