Details

analyze352.0ms

Algorithm

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

sample24.0ms

Algorithm

intervals

Results

18.0ms

256×

body

valid

simplify57.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5018	25

prune6.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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

localize10.0ms

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)))))
4.0b	(-.f64 2.0 (/.f64 2.0 (+.f64 1.0 (*.f64 1.0 t))))
4.0b	(-.f64 2.0 (/.f64 2.0 (+.f64 1.0 (*.f64 1.0 t))))

rewrite53.0ms

Algorithm

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:

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))))))))
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))))

series21.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(-.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))))

simplify58.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4926	1836
1	4926	1836

prune138.0ms

Filtered

72 candidates to 100 candidates (-38.9%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0b

Counts

101 → 1

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(-.f64 1.0 (/.f64 1.0 (+.f64 2.0 (cbrt.f64 (pow.f64 (-.f64 2.0 (/.f64 2.0 (+.f64 1.0 (*.f64 1.0 t)))) 6)))))
0.0b	(cbrt.f64 (pow.f64 (-.f64 2.0 (/.f64 2.0 (+.f64 1.0 (*.f64 1.0 t)))) 6))
0.1b	(pow.f64 (-.f64 2.0 (/.f64 2.0 (+.f64 1.0 (*.f64 1.0 t)))) 6)
4.0b	(-.f64 2.0 (/.f64 2.0 (+.f64 1.0 (*.f64 1.0 t))))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt_binary64`
16×	`*-un-lft-identity_binary64`
12×	`unpow-prod-down_binary64`
10×	`cbrt-prod_binary64`
8×	`add-log-exp_binary64` `add-cube-cbrt_binary64` `difference-of-squares_binary64`
5×	`pow1_binary64` `add-exp-log_binary64`
4×	`add-cbrt-cube_binary64` `distribute-lft-out--_binary64` `times-frac_binary64`
3×	`pow-unpow_binary64`
2×	`sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `sqr-pow_binary64` `flip--_binary64`
1×	`pow-to-exp_binary64` `pow1/3_binary64` `pow-pow_binary64` `pow-exp_binary64`

Counts

4 → 66

Calls

4 calls:

23.0ms	(-.f64 1.0 (/.f64 1.0 (+.f64 2.0 (cbrt.f64 (pow.f64 (-.f64 2.0 (/.f64 2.0 (+.f64 1.0 (*.f64 1.0 t)))) 6)))))
10.0ms	(cbrt.f64 (pow.f64 (-.f64 2.0 (/.f64 2.0 (+.f64 1.0 (*.f64 1.0 t)))) 6))
10.0ms	(pow.f64 (-.f64 2.0 (/.f64 2.0 (+.f64 1.0 (*.f64 1.0 t)))) 6)
9.0ms	(-.f64 2.0 (/.f64 2.0 (+.f64 1.0 (*.f64 1.0 t))))

series22.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(-.f64 1.0 (/.f64 1.0 (+.f64 2.0 (cbrt.f64 (pow.f64 (-.f64 2.0 (/.f64 2.0 (+.f64 1.0 (*.f64 1.0 t)))) 6)))))
5.0ms	(cbrt.f64 (pow.f64 (-.f64 2.0 (/.f64 2.0 (+.f64 1.0 (*.f64 1.0 t)))) 6))
5.0ms	(pow.f64 (-.f64 2.0 (/.f64 2.0 (+.f64 1.0 (*.f64 1.0 t)))) 6)
4.0ms	(-.f64 2.0 (/.f64 2.0 (+.f64 1.0 (*.f64 1.0 t))))

simplify41.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5506	1313

prune92.0ms

Filtered

58 candidates to 78 candidates (-34.5%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	78	1	79

Merged error: 0b

Counts

79 → 1

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	48	18
1	48	18

end0.0ms

sample669.0ms

Algorithm

intervals

Results

556.0ms

8000×

body

valid

Details

analyze352.0ms

sample24.0ms

simplify57.0ms

prune6.0ms

localize10.0ms

rewrite53.0ms

series21.0ms

simplify58.0ms

prune138.0ms

localize12.0ms

rewrite55.0ms

series22.0ms

simplify41.0ms

prune92.0ms

simplify2.0ms

end0.0ms

sample669.0ms

Profiling