Details

analyze5.0ms (0.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	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 (0.7%)

Algorithm

1×

intervals

Results

14.0ms

256×

body

valid

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	11	12
1	11	12

prune5.0ms (0.2%)

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: 32.4b

Counts

2 → 1

localize14.0ms (0.5%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 re re) (.f64 im im))
0.6b	(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 10.0))
29.9b	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

rewrite20.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`times-frac_binary64`
22×	`log-pow_binary64`
21×	`pow1_binary64`
17×	`add-sqr-sqrt_binary64`
16×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
6×	`pow1/2_binary64` `sqrt-pow1_binary64` `associate-/l*_binary64`
5×	`add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`associate-/r*_binary64` `sqrt-div_binary64`
3×	`flip3-+_binary64` `sqrt-prod_binary64` `flip-+_binary64`
2×	`div-sub_binary64` `log-div_binary64`
1×	`cbrt-undiv_binary64` `rem-sqrt-square_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `+-commutative_binary64` `sum-log_binary64`

Counts

3 → 74

Calls

3 calls:

8.0ms	(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 10.0))
5.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
5.0ms	(+.f64 (.f64 re re) (.f64 im im))

series36.0ms (1.2%)

Counts

3 → 9

Calls

3 calls:

22.0ms	(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 10.0))
7.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
7.0ms	(+.f64 (.f64 re re) (.f64 im im))

simplify45.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	4926	1163
1	4926	1163

prune140.0ms (4.6%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	70	13	83
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	71	13	84

Merged error: 8.0b

Counts

84 → 13

localize12.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 re re) (.f64 im im))
0.3b	(.f64 (/.f64 1/2 (sqrt.f64 (log.f64 10.0))) (/.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (sqrt.f64 (log.f64 10.0))))
0.5b	(/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (sqrt.f64 (log.f64 10.0)))
31.1b	(log.f64 (+.f64 (.f64 re re) (.f64 im im)))

rewrite49.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

89×	`times-frac_binary64`
83×	`add-sqr-sqrt_binary64`
54×	`sqrt-prod_binary64`
53×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
34×	`pow1_binary64`
32×	`associate-r_binary64`
28×	`log-pow_binary64`
25×	`associate-l_binary64`
19×	`add-exp-log_binary64`
18×	`add-cbrt-cube_binary64`
9×	`unswap-sqr_binary64`
7×	`associate-/r*_binary64`
6×	`add-log-exp_binary64`
5×	`cbrt-undiv_binary64` `div-exp_binary64`
4×	`cbrt-unprod_binary64` `prod-exp_binary64` `associate-/l*_binary64` `log-div_binary64`
3×	`flip3-+_binary64` `log-prod_binary64` `div-inv_binary64` `flip-+_binary64`
2×	`div-sub_binary64`
1×	`pow-prod-down_binary64` `rem-log-exp_binary64` `associate-r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `+-commutative_binary64` `frac-times_binary64` `associate-l/_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 164

Calls

4 calls:

24.0ms	(.f64 (/.f64 1/2 (sqrt.f64 (log.f64 10.0))) (/.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (sqrt.f64 (log.f64 10.0))))
8.0ms	(/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (sqrt.f64 (log.f64 10.0)))
5.0ms	(+.f64 (.f64 re re) (.f64 im im))
4.0ms	(log.f64 (+.f64 (.f64 re re) (.f64 im im)))

series65.0ms (2.1%)

Counts

4 → 12

Calls

4 calls:

24.0ms	(/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (sqrt.f64 (log.f64 10.0)))
22.0ms	(.f64 (/.f64 1/2 (sqrt.f64 (log.f64 10.0))) (/.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (sqrt.f64 (log.f64 10.0))))
12.0ms	(log.f64 (+.f64 (.f64 re re) (.f64 im im)))
6.0ms	(+.f64 (.f64 re re) (.f64 im im))

simplify90.0ms (3%)

Algorithm

1×	egg-herbie

Counts

176 → 176

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4941	2997
1	4941	2997

prune283.0ms (9.2%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	167	9	176
Fresh	8	4	12
Picked	1	0	1
Done	0	0	0
Total	176	13	189

Merged error: 7.8b

Counts

189 → 13

localize13.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 re re) (.f64 im im))
0.2b	(.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (/.f64 1 (sqrt.f64 (log.f64 10.0))))
0.3b	(.f64 (/.f64 1/2 (sqrt.f64 (log.f64 10.0))) (.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (/.f64 1 (sqrt.f64 (log.f64 10.0)))))
31.1b	(log.f64 (+.f64 (.f64 re re) (.f64 im im)))

rewrite43.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

49×	`add-exp-log_binary64`
46×	`add-sqr-sqrt_binary64` `times-frac_binary64`
36×	`*-un-lft-identity_binary64`
34×	`add-cube-cbrt_binary64`
30×	`add-cbrt-cube_binary64`
29×	`associate-l_binary64`
26×	`associate-r_binary64` `sqrt-prod_binary64`
22×	`prod-exp_binary64`
19×	`pow1_binary64`
12×	`cbrt-unprod_binary64`
11×	`div-exp_binary64`
8×	`log-pow_binary64`
6×	`add-log-exp_binary64` `cbrt-undiv_binary64`
5×	`associate-*r/_binary64` `unswap-sqr_binary64`
4×	`pow-prod-down_binary64`
3×	`log-prod_binary64` `1-exp_binary64` `rec-exp_binary64` `un-div-inv_binary64`
2×	`flip3-+_binary64` `div-inv_binary64` `log-div_binary64` `flip-+_binary64` `frac-times_binary64` `*-commutative_binary64`
1×	`rem-log-exp_binary64` `+-commutative_binary64` `associate-*l/_binary64` `sum-log_binary64`

Counts

4 → 133

Calls

4 calls:

15.0ms	(.f64 (/.f64 1/2 (sqrt.f64 (log.f64 10.0))) (.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (/.f64 1 (sqrt.f64 (log.f64 10.0)))))
12.0ms	(.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (/.f64 1 (sqrt.f64 (log.f64 10.0))))
6.0ms	(log.f64 (+.f64 (.f64 re re) (.f64 im im)))
4.0ms	(+.f64 (.f64 re re) (.f64 im im))

series65.0ms (2.1%)

Counts

4 → 12

Calls

4 calls:

27.0ms	(.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (/.f64 1 (sqrt.f64 (log.f64 10.0))))
22.0ms	(.f64 (/.f64 1/2 (sqrt.f64 (log.f64 10.0))) (.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (/.f64 1 (sqrt.f64 (log.f64 10.0)))))
9.0ms	(log.f64 (+.f64 (.f64 re re) (.f64 im im)))
6.0ms	(+.f64 (.f64 re re) (.f64 im im))

simplify55.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4949	1972
1	4949	1972

prune212.0ms (6.9%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	144	1	145
Fresh	1	11	12
Picked	1	0	1
Done	0	0	0
Total	146	12	158

Merged error: 7.8b

Counts

158 → 12

localize18.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 re re) (.f64 im im))
0.3b	(.f64 (/.f64 1/2 (sqrt.f64 (log.f64 10.0))) (log.f64 (pow.f64 (+.f64 (.f64 re re) (*.f64 im im)) (/.f64 1 (sqrt.f64 (log.f64 10.0))))))
15.9b	(log.f64 (pow.f64 (+.f64 (.f64 re re) (.f64 im im)) (/.f64 1 (sqrt.f64 (log.f64 10.0)))))
16.5b	(pow.f64 (+.f64 (.f64 re re) (.f64 im im)) (/.f64 1 (sqrt.f64 (log.f64 10.0))))

rewrite36.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

48×	`add-sqr-sqrt_binary64`
44×	`times-frac_binary64`
40×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
25×	`pow-unpow_binary64` `associate-l_binary64` `sqrt-prod_binary64`
21×	`log-prod_binary64`
13×	`pow1_binary64`
12×	`add-exp-log_binary64` `unpow-prod-down_binary64`
9×	`add-cbrt-cube_binary64`
8×	`log-pow_binary64`
7×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64`
6×	`add-log-exp_binary64`
4×	`associate-r_binary64` `sqr-pow_binary64`
3×	`rem-log-exp_binary64` `unswap-sqr_binary64`
2×	`pow-to-exp_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `div-inv_binary64` `pow-exp_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `cbrt-undiv_binary64` `pow-pow_binary64` `div-exp_binary64` `+-commutative_binary64` `flip-+_binary64` `associate-l/_binary64` `sum-log_binary64` `-commutative_binary64`

Counts

4 → 128

Calls

4 calls:

14.0ms	(.f64 (/.f64 1/2 (sqrt.f64 (log.f64 10.0))) (log.f64 (pow.f64 (+.f64 (.f64 re re) (*.f64 im im)) (/.f64 1 (sqrt.f64 (log.f64 10.0))))))
8.0ms	(pow.f64 (+.f64 (.f64 re re) (.f64 im im)) (/.f64 1 (sqrt.f64 (log.f64 10.0))))
5.0ms	(log.f64 (pow.f64 (+.f64 (.f64 re re) (.f64 im im)) (/.f64 1 (sqrt.f64 (log.f64 10.0)))))
4.0ms	(+.f64 (.f64 re re) (.f64 im im))

series135.0ms (4.4%)

Counts

4 → 12

Calls

4 calls:

50.0ms	(.f64 (/.f64 1/2 (sqrt.f64 (log.f64 10.0))) (log.f64 (pow.f64 (+.f64 (.f64 re re) (*.f64 im im)) (/.f64 1 (sqrt.f64 (log.f64 10.0))))))
41.0ms	(pow.f64 (+.f64 (.f64 re re) (.f64 im im)) (/.f64 1 (sqrt.f64 (log.f64 10.0))))
37.0ms	(log.f64 (pow.f64 (+.f64 (.f64 re re) (.f64 im im)) (/.f64 1 (sqrt.f64 (log.f64 10.0)))))
7.0ms	(+.f64 (.f64 re re) (.f64 im im))

simplify75.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4943	2203
1	4943	2203

prune203.0ms (6.7%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	139	1	140
Fresh	0	11	11
Picked	0	1	1
Done	0	0	0
Total	139	13	152

Merged error: 7.8b

Counts

152 → 13

regimes753.0ms (24.6%)

Accuracy

Total 10.3b remaining (57.8%)

Threshold costs 0b (0%)

bsearch67.0ms (2.2%)

Steps

Iters	Range		Point
7	1088.5844466853032	34334.3875241759	33696.34187874525
10	1.5301627689075736e-261	1.1299112432006247e-251	4.97977832146901e-256
6	-1.6767514354442614e-245	-3.204001367056677e-246	-5.396105895291542e-246
10	-1.497385006257673e+94	-2.2564294724460247e+75	-1.3699735643448252e+94

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	57	106
1	57	106

end0.0ms (0%)

sample591.0ms (19.3%)

Algorithm

1×

intervals

Results

459.0ms

8000×

body

valid

Details

analyze5.0ms (0.2%)

sample21.0ms (0.7%)

simplify5.0ms (0.1%)

prune5.0ms (0.2%)

localize14.0ms (0.5%)

rewrite20.0ms (0.7%)

series36.0ms (1.2%)

simplify45.0ms (1.5%)

prune140.0ms (4.6%)

localize12.0ms (0.4%)

rewrite49.0ms (1.6%)

series65.0ms (2.1%)

simplify90.0ms (3%)

prune283.0ms (9.2%)

localize13.0ms (0.4%)

rewrite43.0ms (1.4%)

series65.0ms (2.1%)

simplify55.0ms (1.8%)

prune212.0ms (6.9%)

localize18.0ms (0.6%)

rewrite36.0ms (1.2%)

series135.0ms (4.4%)

simplify75.0ms (2.4%)

prune203.0ms (6.7%)

regimes753.0ms (24.6%)

bsearch67.0ms (2.2%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample591.0ms (19.3%)

Profiling