Details

analyze3.0ms (0.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	50%	50%	3
25%	25%	50%	4
37.5%	12.5%	50%	5
43.7%	6.2%	50%	6
46.9%	3.1%	50%	7
48.4%	1.6%	50%	8
49.2%	0.8%	50%	9
49.6%	0.4%	50%	10
49.8%	0.2%	50%	11
49.9%	0.1%	50%	12
49.9%	0%	50%	13
49.9%	0%	50%	14

sample11.0ms (1.2%)

Algorithm

1×

intervals

Results

6.0ms

256×

body

valid

simplify8.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (6.0ms)

Iter	Nodes	Cost
0	90	6
1	90	6

prune4.0ms (0.4%)

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: 0.0b

Counts

2 → 1

localize4.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 1.0 (*.f64 x x))
0.0b	(sqrt.f64 (-.f64 1.0 (*.f64 x x)))

rewrite7.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-sqr-sqrt_binary64`
4×	`add-log-exp_binary64` `sqrt-prod_binary64`
3×	`*-un-lft-identity_binary64` `pow1_binary64` `add-cube-cbrt_binary64`
2×	`flip3--_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `difference-of-squares_binary64` `flip--_binary64` `sqrt-div_binary64`
1×	`sub-neg_binary64` `pow1/2_binary64` `diff-log_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64`

Counts

2 → 28

Calls

2 calls:

3.0ms	(-.f64 1.0 (*.f64 x x))
3.0ms	(sqrt.f64 (-.f64 1.0 (*.f64 x x)))

series11.0ms (1.2%)

Counts

2 → 6

Calls

2 calls:

6.0ms	(sqrt.f64 (-.f64 1.0 (*.f64 x x)))
6.0ms	(-.f64 1.0 (*.f64 x x))

simplify38.0ms (4.1%)

Algorithm

1×	egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	4986	310
1	4986	310

prune44.0ms (4.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	32	2	34
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	32	3	35

Merged error: 0b

Counts

35 → 3

localize8.0ms (0.8%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 1.0 (*.f64 x x))
0.0b	(log.f64 (exp.f64 (sqrt.f64 (-.f64 1.0 (*.f64 x x)))))
0.0b	(sqrt.f64 (-.f64 1.0 (*.f64 x x)))
0.0b	(exp.f64 (sqrt.f64 (-.f64 1.0 (*.f64 x x))))

rewrite17.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`add-sqr-sqrt_binary64`
14×	`exp-prod_binary64`
12×	`sqrt-prod_binary64`
10×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
8×	`log-pow_binary64`
7×	`add-log-exp_binary64`
6×	`pow1_binary64`
4×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `difference-of-squares_binary64`
3×	`log-prod_binary64`
2×	`flip3--_binary64` `flip--_binary64` `sqrt-div_binary64`
1×	`sub-neg_binary64` `pow1/2_binary64` `diff-log_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64`

Counts

4 → 62

Calls

4 calls:

5.0ms	(exp.f64 (sqrt.f64 (-.f64 1.0 (*.f64 x x))))
4.0ms	(log.f64 (exp.f64 (sqrt.f64 (-.f64 1.0 (*.f64 x x)))))
3.0ms	(-.f64 1.0 (*.f64 x x))
3.0ms	(sqrt.f64 (-.f64 1.0 (*.f64 x x)))

series26.0ms (2.7%)

Counts

4 → 12

Calls

4 calls:

8.0ms	(-.f64 1.0 (*.f64 x x))
6.0ms	(exp.f64 (sqrt.f64 (-.f64 1.0 (*.f64 x x))))
6.0ms	(log.f64 (exp.f64 (sqrt.f64 (-.f64 1.0 (*.f64 x x)))))
6.0ms	(sqrt.f64 (-.f64 1.0 (*.f64 x x)))

simplify59.0ms (6.2%)

Algorithm

1×	egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4929	691
1	4929	691

prune88.0ms (9.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	74	0	74
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	74	3	77

Merged error: 0b

Counts

77 → 3

localize6.0ms (0.7%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 1.0 (*.f64 x x))
0.0b	(sqrt.f64 (-.f64 1.0 (*.f64 x x)))
0.0b	(cbrt.f64 (pow.f64 (sqrt.f64 (-.f64 1.0 (*.f64 x x))) 3))
0.0b	(pow.f64 (sqrt.f64 (-.f64 1.0 (*.f64 x x))) 3)

rewrite20.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`add-sqr-sqrt_binary64`
20×	`sqrt-prod_binary64` `cbrt-prod_binary64`
15×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
14×	`unpow-prod-down_binary64` `cube-prod_binary64`
7×	`pow1_binary64`
6×	`add-log-exp_binary64` `difference-of-squares_binary64` `sqrt-div_binary64`
5×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`flip3--_binary64` `cube-div_binary64` `flip--_binary64`
3×	`pow-unpow_binary64` `pow-pow_binary64`
2×	`cbrt-div_binary64` `pow1/2_binary64` `sqr-pow_binary64` `sqrt-pow1_binary64` `unpow3_binary64` `cube-mult_binary64`
1×	`pow-to-exp_binary64` `sub-neg_binary64` `rem-cbrt-cube_binary64` `diff-log_binary64` `sqrt-pow2_binary64` `pow1/3_binary64` `rem-sqrt-square_binary64` `rem-cube-cbrt_binary64` `pow-exp_binary64`

Counts

4 → 95

Calls

4 calls:

5.0ms	(pow.f64 (sqrt.f64 (-.f64 1.0 (*.f64 x x))) 3)
5.0ms	(cbrt.f64 (pow.f64 (sqrt.f64 (-.f64 1.0 (*.f64 x x))) 3))
3.0ms	(-.f64 1.0 (*.f64 x x))
3.0ms	(sqrt.f64 (-.f64 1.0 (*.f64 x x)))

series31.0ms (3.3%)

Counts

4 → 12

Calls

4 calls:

13.0ms	(pow.f64 (sqrt.f64 (-.f64 1.0 (*.f64 x x))) 3)
6.0ms	(cbrt.f64 (pow.f64 (sqrt.f64 (-.f64 1.0 (*.f64 x x))) 3))
6.0ms	(-.f64 1.0 (*.f64 x x))
6.0ms	(sqrt.f64 (-.f64 1.0 (*.f64 x x)))

simplify53.0ms (5.6%)

Algorithm

1×	egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4967	1103
1	4967	1103

prune122.0ms (13%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	107	3	110

Merged error: 0b

Counts

110 → 3

regimes94.0ms (10%)

Accuracy

Total 0.0b remaining (50%)

Threshold costs 0.0b (50%)

bsearch0.0ms (0%)

simplify2.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	6
1	23	6

end0.0ms (0%)

sample281.0ms (30%)

Algorithm

1×

intervals

Results

190.0ms

8000×

body

valid

Details

analyze3.0ms (0.3%)

sample11.0ms (1.2%)

simplify8.0ms (0.8%)

prune4.0ms (0.4%)

localize4.0ms (0.4%)

rewrite7.0ms (0.7%)

series11.0ms (1.2%)

simplify38.0ms (4.1%)

prune44.0ms (4.7%)

localize8.0ms (0.8%)

rewrite17.0ms (1.8%)

series26.0ms (2.7%)

simplify59.0ms (6.2%)

prune88.0ms (9.4%)

localize6.0ms (0.7%)

rewrite20.0ms (2.2%)

series31.0ms (3.3%)

simplify53.0ms (5.6%)

prune122.0ms (13%)

regimes94.0ms (10%)

bsearch0.0ms (0%)

simplify2.0ms (0.2%)

end0.0ms (0%)

sample281.0ms (30%)

Profiling