Details

analyze350.0ms (16.9%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	50%	0%	4
50%	50%	0%	5
50%	50%	0%	6
50%	50%	0%	7
50%	50%	0%	8
50%	50%	0%	9
50%	50%	0%	10
50%	50%	0%	11
50%	49.9%	0%	12
99.6%	0.3%	0%	13
99.9%	0%	0%	14

sample23.0ms (1.1%)

Algorithm

1×

intervals

Results

17.0ms

256×

body

valid

simplify58.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5018	25

prune6.0ms (0.3%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.0b

Counts

2 → 1

localize9.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 1.0 (/.f64 1.0 (+.f64 2.0 (.f64 (-.f64 2.0 (/.f64 2.0 (+.f64 1.0 (.f64 1.0 t)))) (-.f64 2.0 (/.f64 2.0 (+.f64 1.0 (*.f64 1.0 t))))))))
0.0b	(.f64 (-.f64 2.0 (/.f64 2.0 (+.f64 1.0 (.f64 1.0 t)))) (-.f64 2.0 (/.f64 2.0 (+.f64 1.0 (*.f64 1.0 t)))))
2.8b	(-.f64 2.0 (/.f64 2.0 (+.f64 1.0 (*.f64 1.0 t))))
2.8b	(-.f64 2.0 (/.f64 2.0 (+.f64 1.0 (*.f64 1.0 t))))

rewrite53.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Rules

45×	`add-sqr-sqrt_binary64`
28×	`*-un-lft-identity_binary64`
14×	`difference-of-squares_binary64`
11×	`pow1_binary64`
10×	`add-log-exp_binary64`
9×	`flip3--_binary64` `distribute-lft-out--_binary64` `flip--_binary64`
8×	`swap-sqr_binary64` `add-cube-cbrt_binary64`
7×	`times-frac_binary64`
6×	`associate-r_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l_binary64`
5×	`sub-neg_binary64`
4×	`frac-times_binary64`
3×	`diff-log_binary64`
2×	`associate-r/_binary64` `associate-l/_binary64`
1×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `pow-prod-up_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `pow-plus_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `pow-sqr_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 88

Calls

4 calls:

23.0ms	(.f64 (-.f64 2.0 (/.f64 2.0 (+.f64 1.0 (.f64 1.0 t)))) (-.f64 2.0 (/.f64 2.0 (+.f64 1.0 (*.f64 1.0 t)))))
9.0ms	(-.f64 2.0 (/.f64 2.0 (+.f64 1.0 (*.f64 1.0 t))))
9.0ms	(-.f64 2.0 (/.f64 2.0 (+.f64 1.0 (*.f64 1.0 t))))
9.0ms	(-.f64 1.0 (/.f64 1.0 (+.f64 2.0 (.f64 (-.f64 2.0 (/.f64 2.0 (+.f64 1.0 (.f64 1.0 t)))) (-.f64 2.0 (/.f64 2.0 (+.f64 1.0 (*.f64 1.0 t))))))))

series22.0ms (1%)

Counts

4 → 12

Calls

4 calls:

9.0ms	(-.f64 1.0 (/.f64 1.0 (+.f64 2.0 (.f64 (-.f64 2.0 (/.f64 2.0 (+.f64 1.0 (.f64 1.0 t)))) (-.f64 2.0 (/.f64 2.0 (+.f64 1.0 (*.f64 1.0 t))))))))
5.0ms	(.f64 (-.f64 2.0 (/.f64 2.0 (+.f64 1.0 (.f64 1.0 t)))) (-.f64 2.0 (/.f64 2.0 (+.f64 1.0 (*.f64 1.0 t)))))
4.0ms	(-.f64 2.0 (/.f64 2.0 (+.f64 1.0 (*.f64 1.0 t))))
4.0ms	(-.f64 2.0 (/.f64 2.0 (+.f64 1.0 (*.f64 1.0 t))))

simplify59.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4926	1836
1	4926	1836

prune184.0ms (8.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	99	1	100
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	99	2	101

Merged error: 0b

Counts

101 → 2

localize18.0ms (0.9%)

Local error

Found 4 expressions with local error:

0.5b	(pow.f64 (/.f64 1.0 (+.f64 2.0 (pow.f64 (-.f64 2.0 (/.f64 2.0 (+.f64 1.0 (*.f64 1.0 t)))) 2))) 3)
2.8b	(-.f64 2.0 (/.f64 2.0 (+.f64 1.0 (*.f64 1.0 t))))
2.8b	(-.f64 2.0 (/.f64 2.0 (+.f64 1.0 (*.f64 1.0 t))))
2.8b	(-.f64 2.0 (/.f64 2.0 (+.f64 1.0 (*.f64 1.0 t))))

rewrite49.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Rules

39×	`*-un-lft-identity_binary64`
36×	`add-sqr-sqrt_binary64`
27×	`times-frac_binary64`
21×	`add-cube-cbrt_binary64`
18×	`unpow-prod-down_binary64` `cube-prod_binary64`
10×	`add-log-exp_binary64`
7×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`distribute-lft-out_binary64` `difference-of-squares_binary64`
5×	`pow1_binary64`
4×	`associate-/r/_binary64`
3×	`pow-unpow_binary64` `sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `distribute-lft-out--_binary64` `flip--_binary64`
2×	`flip3-+_binary64` `rem-cube-cbrt_binary64` `div-inv_binary64` `flip-+_binary64` `pow-exp_binary64`
1×	`pow-to-exp_binary64` `cbrt-undiv_binary64` `pow-pow_binary64` `sqr-pow_binary64` `cube-div_binary64` `div-exp_binary64` `unpow3_binary64` `cube-mult_binary64`

Counts

4 → 98

Calls

4 calls:

18.0ms	(pow.f64 (/.f64 1.0 (+.f64 2.0 (pow.f64 (-.f64 2.0 (/.f64 2.0 (+.f64 1.0 (*.f64 1.0 t)))) 2))) 3)
9.0ms	(-.f64 2.0 (/.f64 2.0 (+.f64 1.0 (*.f64 1.0 t))))
9.0ms	(-.f64 2.0 (/.f64 2.0 (+.f64 1.0 (*.f64 1.0 t))))
9.0ms	(-.f64 2.0 (/.f64 2.0 (+.f64 1.0 (*.f64 1.0 t))))

series22.0ms (1.1%)

Counts

4 → 12

Calls

4 calls:

9.0ms	(pow.f64 (/.f64 1.0 (+.f64 2.0 (pow.f64 (-.f64 2.0 (/.f64 2.0 (+.f64 1.0 (*.f64 1.0 t)))) 2))) 3)
6.0ms	(-.f64 2.0 (/.f64 2.0 (+.f64 1.0 (*.f64 1.0 t))))
4.0ms	(-.f64 2.0 (/.f64 2.0 (+.f64 1.0 (*.f64 1.0 t))))
4.0ms	(-.f64 2.0 (/.f64 2.0 (+.f64 1.0 (*.f64 1.0 t))))

simplify52.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5416	2149

prune494.0ms (23.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	110	0	110
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	110	2	112

Merged error: 0b

Counts

112 → 2

regimes26.0ms (1.3%)

Accuracy

Total 0.0b remaining (70.7%)

Threshold costs 0.0b (70.7%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	51	59
1	51	59

end0.0ms (0%)

sample645.0ms (31.1%)

Algorithm

1×

intervals

Results

544.0ms

8000×

body

valid

Details

analyze350.0ms (16.9%)

sample23.0ms (1.1%)

simplify58.0ms (2.8%)

prune6.0ms (0.3%)

localize9.0ms (0.4%)

rewrite53.0ms (2.6%)

series22.0ms (1%)

simplify59.0ms (2.8%)

prune184.0ms (8.9%)

localize18.0ms (0.9%)

rewrite49.0ms (2.4%)

series22.0ms (1.1%)

simplify52.0ms (2.5%)

prune494.0ms (23.8%)

regimes26.0ms (1.3%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample645.0ms (31.1%)

Profiling