Details

analyze382.0ms

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

sample25.0ms

Algorithm

intervals

Results

19.0ms

256×

body

valid

simplify70.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4731	17
1	4731	17

prune4.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.0b

Counts

2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(/.f64 1 (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))
0.0b	(*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))
2.3b	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
2.3b	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))

rewrite116.0ms

Algorithm

rewrite-expression-head

Rules

72×	`add-sqr-sqrt_binary64`
34×	`*-un-lft-identity_binary64`
27×	`times-frac_binary64`
18×	`difference-of-squares_binary64`
16×	`add-cube-cbrt_binary64`
12×	`pow1_binary64`
10×	`add-exp-log_binary64`
9×	`swap-sqr_binary64`
8×	`add-log-exp_binary64` `flip3--_binary64` `add-cbrt-cube_binary64` `distribute-lft-out--_binary64` `flip--_binary64`
7×	`associate-r_binary64` `associate-l_binary64`
4×	`sub-neg_binary64` `frac-times_binary64`
3×	`associate-/r_binary64` `associate-/l_binary64`
2×	`diff-log_binary64` `associate-r/_binary64` `associate-/r/_binary64` `div-exp_binary64` `associate-l/_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `cbrt-unprod_binary64` `pow-prod-up_binary64` `1-exp_binary64` `cbrt-undiv_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `pow-plus_binary64` `unswap-sqr_binary64` `clear-num_binary64` `inv-pow_binary64` `prod-exp_binary64` `frac-2neg_binary64` `rec-exp_binary64` `div-inv_binary64` `pow-sqr_binary64` `pow-flip_binary64` `flip-+_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 112

Calls

4 calls:

5.0ms	(/.f64 1 (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))
56.0ms	(*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))
27.0ms	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
24.0ms	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))

series18.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(/.f64 1 (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))
4.0ms	(*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))
3.0ms	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
4.0ms	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))

simplify70.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4899	2640
1	4899	2640

prune145.0ms

Filtered

86 candidates to 124 candidates (-44.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	123	1	124
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	124	1	125

Merged error: 0b

Counts

125 → 1

localize22.0ms

Local error

Found 4 expressions with local error:

2.3b	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
2.3b	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
2.3b	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
2.3b	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))

rewrite107.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-sqr-sqrt_binary64`
12×	`*-un-lft-identity_binary64` `add-log-exp_binary64` `difference-of-squares_binary64` `times-frac_binary64`
4×	`sub-neg_binary64` `pow1_binary64` `flip3--_binary64` `diff-log_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `distribute-lft-out--_binary64` `flip--_binary64`

Counts

4 → 60

Calls

4 calls:

27.0ms	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
25.0ms	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
25.0ms	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
28.0ms	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))

series13.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
3.0ms	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
3.0ms	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
4.0ms	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))

simplify45.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	4963	940
1	4963	940

prune305.0ms

Filtered

64 candidates to 72 candidates (-12.5%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	72	0	72
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	72	1	73

Merged error: 0b

Counts

73 → 1

simplify5.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	265	95
1	265	95

end0.0ms

sample664.0ms

Algorithm

intervals

Results

558.0ms

8000×

body

valid

Details

analyze382.0ms

sample25.0ms

simplify70.0ms

prune4.0ms

localize11.0ms

rewrite116.0ms

series18.0ms

simplify70.0ms

prune145.0ms

localize22.0ms

rewrite107.0ms

series13.0ms

simplify45.0ms

prune305.0ms

simplify5.0ms

end0.0ms

sample664.0ms

Profiling