Details

analyze4.0ms (0.2%)

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

sample21.0ms (1.2%)

Algorithm

1×

intervals

Results

14.0ms

256×

body

valid

simplify5.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	6	6
1	6	6

prune5.0ms (0.3%)

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

Merged error: 0.9b

Counts

2 → 1

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.9b	(/.f64 (atan2.f64 im re) (log.f64 10.0))

rewrite4.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`times-frac_binary64`
10×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
5×	`pow1_binary64`
4×	`associate-/r*_binary64` `log-pow_binary64`
3×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-/l*_binary64`
1×	`add-log-exp_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64`

Counts

1 → 31

Calls

1 calls:

3.0ms

(/.f64 (atan2.f64 im re) (log.f64 10.0))

series11.0ms (0.7%)

Counts

1 → 3

Calls

1 calls:

11.0ms

(/.f64 (atan2.f64 im re) (log.f64 10.0))

simplify109.0ms (6.3%)

Algorithm

1×	egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 0 (103.0ms)

Iter	Nodes	Cost
0	4519	330
1	4519	330

prune62.0ms (3.6%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	25	9	34
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	25	10	35

Merged error: 0.1b

Counts

35 → 10

localize8.0ms (0.5%)

Local error

Found 2 expressions with local error:

0.1b	(/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10.0)))
0.8b	(*.f64 (/.f64 1 (sqrt.f64 (log.f64 10.0))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10.0))))

rewrite33.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Rules

92×	`add-sqr-sqrt_binary64`
85×	`times-frac_binary64`
52×	`*-un-lft-identity_binary64`
51×	`sqrt-prod_binary64`
46×	`add-cube-cbrt_binary64`
26×	`add-exp-log_binary64`
25×	`associate-r_binary64` `associate-l_binary64`
16×	`add-cbrt-cube_binary64`
15×	`unswap-sqr_binary64`
14×	`pow1_binary64`
10×	`log-pow_binary64`
9×	`div-exp_binary64`
8×	`prod-exp_binary64`
7×	`associate-/r*_binary64`
5×	`cbrt-undiv_binary64`
4×	`cbrt-unprod_binary64`
3×	`associate-/l*_binary64` `div-inv_binary64`
2×	`add-log-exp_binary64` `1-exp_binary64` `rec-exp_binary64`
1×	`pow-prod-down_binary64` `associate-r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `frac-times_binary64` `associate-l/_binary64` `*-commutative_binary64`

Counts

2 → 132

Calls

2 calls:

22.0ms	(*.f64 (/.f64 1 (sqrt.f64 (log.f64 10.0))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10.0))))
4.0ms	(/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10.0)))

series23.0ms (1.3%)

Counts

2 → 6

Calls

2 calls:

14.0ms	(/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10.0)))
9.0ms	(*.f64 (/.f64 1 (sqrt.f64 (log.f64 10.0))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10.0))))

simplify68.0ms (3.9%)

Algorithm

1×	egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4951	1597
1	4951	1597

prune188.0ms (10.9%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	135	3	138
Fresh	3	5	8
Picked	1	0	1
Done	0	1	1
Total	139	9	148

Merged error: 0.0b

Counts

148 → 9

localize9.0ms (0.5%)

Local error

Found 2 expressions with local error:

0.1b	(*.f64 (atan2.f64 im re) (/.f64 1 (sqrt.f64 (log.f64 10.0))))
0.8b	(.f64 (/.f64 1 (sqrt.f64 (log.f64 10.0))) (.f64 (atan2.f64 im re) (/.f64 1 (sqrt.f64 (log.f64 10.0)))))

rewrite32.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Rules

76×	`add-exp-log_binary64`
46×	`times-frac_binary64`
43×	`add-sqr-sqrt_binary64`
40×	`prod-exp_binary64`
33×	`*-un-lft-identity_binary64`
31×	`add-cube-cbrt_binary64`
28×	`add-cbrt-cube_binary64` `associate-l_binary64`
26×	`associate-r_binary64` `sqrt-prod_binary64`
20×	`div-exp_binary64`
15×	`pow1_binary64`
12×	`cbrt-unprod_binary64`
10×	`1-exp_binary64` `rec-exp_binary64`
6×	`cbrt-undiv_binary64` `log-pow_binary64`
5×	`associate-*r/_binary64` `unswap-sqr_binary64`
4×	`pow-prod-down_binary64`
3×	`un-div-inv_binary64`
2×	`add-log-exp_binary64` `div-inv_binary64` `frac-times_binary64` `*-commutative_binary64`
1×	`associate-*l/_binary64`

Counts

2 → 117

Calls

2 calls:

15.0ms	(.f64 (/.f64 1 (sqrt.f64 (log.f64 10.0))) (.f64 (atan2.f64 im re) (/.f64 1 (sqrt.f64 (log.f64 10.0)))))
11.0ms	(*.f64 (atan2.f64 im re) (/.f64 1 (sqrt.f64 (log.f64 10.0))))

series24.0ms (1.4%)

Counts

2 → 6

Calls

2 calls:

14.0ms	(*.f64 (atan2.f64 im re) (/.f64 1 (sqrt.f64 (log.f64 10.0))))
10.0ms	(.f64 (/.f64 1 (sqrt.f64 (log.f64 10.0))) (.f64 (atan2.f64 im re) (/.f64 1 (sqrt.f64 (log.f64 10.0)))))

simplify99.0ms (5.7%)

Algorithm

1×	egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 0 (85.0ms)

Iter	Nodes	Cost
0	4710	1035
1	4710	1035

prune155.0ms (9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	121	2	123
Fresh	5	2	7
Picked	0	1	1
Done	0	1	1
Total	126	6	132

Merged error: 0.0b

Counts

132 → 6

localize14.0ms (0.8%)

Local error

Found 2 expressions with local error:

0.8b

(*.f64 (sqrt.f64 (/.f64 1 (sqrt.f64 (log.f64 10.0)))) (*.f64 (atan2.f64 im re) (pow.f64 (/.f64 1 (sqrt.f64 (log.f64 10.0))) 3/2)))

0.8b

(*.f64 (atan2.f64 im re) (pow.f64 (/.f64 1 (sqrt.f64 (log.f64 10.0))) 3/2))

rewrite36.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Rules

51×	`sqrt-prod_binary64`
48×	`add-sqr-sqrt_binary64`
46×	`times-frac_binary64`
35×	`*-un-lft-identity_binary64`
34×	`add-exp-log_binary64`
33×	`add-cube-cbrt_binary64`
31×	`associate-l_binary64`
30×	`associate-r_binary64` `unpow-prod-down_binary64`
19×	`prod-exp_binary64`
10×	`pow1_binary64`
9×	`add-cbrt-cube_binary64`
8×	`pow-exp_binary64`
7×	`unswap-sqr_binary64`
6×	`log-pow_binary64`
4×	`cbrt-unprod_binary64` `div-exp_binary64`
2×	`pow-to-exp_binary64` `add-log-exp_binary64` `1-exp_binary64` `sqr-pow_binary64` `rec-exp_binary64` `div-inv_binary64` `*-commutative_binary64`
1×	`pow-prod-down_binary64` `sqrt-div_binary64` `associate-*l/_binary64`

Counts

2 → 102

Calls

2 calls:

18.0ms

(*.f64 (sqrt.f64 (/.f64 1 (sqrt.f64 (log.f64 10.0)))) (*.f64 (atan2.f64 im re) (pow.f64 (/.f64 1 (sqrt.f64 (log.f64 10.0))) 3/2)))

13.0ms

(*.f64 (atan2.f64 im re) (pow.f64 (/.f64 1 (sqrt.f64 (log.f64 10.0))) 3/2))

series43.0ms (2.5%)

Counts

2 → 6

Calls

2 calls:

33.0ms

(*.f64 (atan2.f64 im re) (pow.f64 (/.f64 1 (sqrt.f64 (log.f64 10.0))) 3/2))

10.0ms

(*.f64 (sqrt.f64 (/.f64 1 (sqrt.f64 (log.f64 10.0)))) (*.f64 (atan2.f64 im re) (pow.f64 (/.f64 1 (sqrt.f64 (log.f64 10.0))) 3/2)))

simplify44.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5302	1640

prune176.0ms (10.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	107	1	108
Fresh	3	0	3
Picked	0	1	1
Done	1	1	2
Total	111	3	114

Merged error: 0b

Counts

114 → 3

regimes134.0ms (7.8%)

Accuracy

Total 0.1b remaining (87%)

Threshold costs 0.1b (87%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	18
1	16	18

end0.0ms (0%)

sample418.0ms (24.2%)

Algorithm

1×

intervals

Results

281.0ms

8000×

body

valid

Details

analyze4.0ms (0.2%)

sample21.0ms (1.2%)

simplify5.0ms (0.3%)

prune5.0ms (0.3%)

localize5.0ms (0.3%)

rewrite4.0ms (0.2%)

series11.0ms (0.7%)

simplify109.0ms (6.3%)

prune62.0ms (3.6%)

localize8.0ms (0.5%)

rewrite33.0ms (1.9%)

series23.0ms (1.3%)

simplify68.0ms (3.9%)

prune188.0ms (10.9%)

localize9.0ms (0.5%)

rewrite32.0ms (1.9%)

series24.0ms (1.4%)

simplify99.0ms (5.7%)

prune155.0ms (9%)

localize14.0ms (0.8%)

rewrite36.0ms (2.1%)

series43.0ms (2.5%)

simplify44.0ms (2.6%)

prune176.0ms (10.2%)

regimes134.0ms (7.8%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample418.0ms (24.2%)

Profiling