Details

analyze466.0ms (15.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
49.1%	50.7%	0.2%	9
49.5%	50.3%	0.2%	10
49.7%	50.1%	0.2%	11
50.2%	49.6%	0.2%	12
60.5%	39.3%	0.2%	13
60.6%	37.9%	1.4%	14

sample23.0ms (0.7%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	80	valid
3.0ms	82×	body	80	invalid

simplify118.0ms (3.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (115.0ms)

Iter	Nodes	Cost
0	1766	9
1	1766	9

prune7.0ms (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: 0.0b

Counts

2 → 1

localize10.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.0b	(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t 2.0))

rewrite11.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`*-un-lft-identity_binary64`
7×	`add-sqr-sqrt_binary64`
6×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-/l*_binary64` `times-frac_binary64`
4×	`distribute-lft-out--_binary64`
3×	`add-cube-cbrt_binary64`
2×	`associate-/l/_binary64` `distribute-lft-out_binary64` `cbrt-undiv_binary64` `difference-of-squares_binary64` `div-exp_binary64`
1×	`associate-/r*_binary64` `add-log-exp_binary64` `pow1_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `div-sub_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64` `div-inv_binary64` `flip--_binary64`

Counts

1 → 30

Calls

1 calls:

10.0ms

(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t 2.0))

series13.0ms (0.4%)

Counts

1 → 3

Calls

1 calls:

13.0ms

(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t 2.0))

simplify26.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	5351	352

prune51.0ms (1.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	29	4	33
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	29	5	34

Merged error: 0.0b

Counts

34 → 5

localize8.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.3b	(*.f64 (/.f64 1 t) (/.f64 (-.f64 (+.f64 x y) z) 2.0))

rewrite22.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

41×	`add-sqr-sqrt_binary64`
35×	`*-un-lft-identity_binary64`
34×	`times-frac_binary64`
23×	`add-exp-log_binary64`
22×	`associate-r_binary64`
18×	`add-cube-cbrt_binary64`
13×	`add-cbrt-cube_binary64` `associate-l_binary64`
8×	`prod-exp_binary64` `div-exp_binary64`
6×	`unswap-sqr_binary64` `distribute-lft-out--_binary64`
4×	`cbrt-unprod_binary64` `cbrt-undiv_binary64`
3×	`pow1_binary64` `distribute-lft-out_binary64` `difference-of-squares_binary64`
2×	`1-exp_binary64` `rec-exp_binary64` `div-inv_binary64`
1×	`pow-prod-down_binary64` `add-log-exp_binary64` `associate-r/_binary64` `frac-times_binary64` `associate-l/_binary64` `*-commutative_binary64`

Counts

1 → 65

Calls

1 calls:

19.0ms

(*.f64 (/.f64 1 t) (/.f64 (-.f64 (+.f64 x y) z) 2.0))

series15.0ms (0.5%)

Counts

1 → 3

Calls

1 calls:

15.0ms

(*.f64 (/.f64 1 t) (/.f64 (-.f64 (+.f64 x y) z) 2.0))

simplify52.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	6944	764

prune80.0ms (2.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	68	0	68
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	68	5	73

Merged error: 0.0b

Counts

73 → 5

localize8.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 t (/.f64 (-.f64 (+.f64 x y) z) 2.0))
0.5b	(/.f64 1 (/.f64 t (/.f64 (-.f64 (+.f64 x y) z) 2.0)))

rewrite70.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Rules

831×	`times-frac_binary64`
589×	`*-un-lft-identity_binary64`
445×	`add-sqr-sqrt_binary64`
349×	`add-cube-cbrt_binary64`
96×	`distribute-lft-out--_binary64`
93×	`associate-/r*_binary64`
48×	`distribute-lft-out_binary64` `difference-of-squares_binary64`
28×	`add-exp-log_binary64`
22×	`div-inv_binary64`
18×	`div-exp_binary64`
16×	`add-cbrt-cube_binary64`
9×	`cbrt-undiv_binary64`
6×	`associate-/r/_binary64` `associate-/l*_binary64`
3×	`pow1_binary64` `1-exp_binary64` `rec-exp_binary64`
2×	`add-log-exp_binary64` `clear-num_binary64` `frac-2neg_binary64`
1×	`inv-pow_binary64` `pow-flip_binary64`

Counts

2 → 418

Calls

2 calls:

22.0ms	(/.f64 1 (/.f64 t (/.f64 (-.f64 (+.f64 x y) z) 2.0)))
12.0ms	(/.f64 t (/.f64 (-.f64 (+.f64 x y) z) 2.0))

series31.0ms (1%)

Counts

2 → 6

Calls

2 calls:

16.0ms	(/.f64 t (/.f64 (-.f64 (+.f64 x y) z) 2.0))
15.0ms	(/.f64 1 (/.f64 t (/.f64 (-.f64 (+.f64 x y) z) 2.0)))

simplify105.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

424 → 424

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5004	7904

prune525.0ms (17.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	423	1	424
Fresh	0	2	2
Picked	1	0	1
Done	1	1	2
Total	425	4	429

Merged error: 0b

Counts

429 → 4

localize9.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 0.5 (-.f64 (+.f64 (/.f64 y t) (/.f64 x t)) (/.f64 z t)))
0.0b	(+.f64 (/.f64 y t) (/.f64 x t))
0.0b	(-.f64 (+.f64 (/.f64 y t) (/.f64 x t)) (/.f64 z t))

rewrite65.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Rules

49×	`*-un-lft-identity_binary64`
26×	`times-frac_binary64`
25×	`add-sqr-sqrt_binary64`
13×	`add-cube-cbrt_binary64`
12×	`distribute-lft-out_binary64`
10×	`add-log-exp_binary64` `associate-r_binary64` `distribute-lft-out--_binary64`
6×	`frac-sub_binary64`
5×	`pow1_binary64` `associate-*r/_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`difference-of-squares_binary64`
3×	`flip3-+_binary64` `sub-neg_binary64` `frac-add_binary64` `associate-l_binary64` `flip-+_binary64` `associate--l+_binary64`
2×	`flip3--_binary64` `diff-log_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `div-inv_binary64` `flip--_binary64` `sum-log_binary64`
1×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `distribute-rgt-out_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `+-commutative_binary64` `*-commutative_binary64`

Counts

3 → 74

Calls

3 calls:

28.0ms	(*.f64 0.5 (-.f64 (+.f64 (/.f64 y t) (/.f64 x t)) (/.f64 z t)))
22.0ms	(-.f64 (+.f64 (/.f64 y t) (/.f64 x t)) (/.f64 z t))
13.0ms	(+.f64 (/.f64 y t) (/.f64 x t))

series30.0ms (1%)

Counts

3 → 9

Calls

3 calls:

13.0ms	(*.f64 0.5 (-.f64 (+.f64 (/.f64 y t) (/.f64 x t)) (/.f64 z t)))
10.0ms	(-.f64 (+.f64 (/.f64 y t) (/.f64 x t)) (/.f64 z t))
7.0ms	(+.f64 (/.f64 y t) (/.f64 x t))

simplify56.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4929	1165
1	4929	1165

prune81.0ms (2.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	83	0	83
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	83	4	87

Merged error: 0b

Counts

87 → 4

regimes597.0ms (19.5%)

Accuracy

Total 0.1b remaining (89.3%)

Threshold costs 0.1b (89.3%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	30	13
1	30	13

end0.0ms (0%)

sample586.0ms (19.1%)

Algorithm

1×

intervals

Results

246.0ms	8000×	body	80	valid
84.0ms	2738×	body	80	invalid

Details

analyze466.0ms (15.2%)

sample23.0ms (0.7%)

simplify118.0ms (3.8%)

prune7.0ms (0.2%)

localize10.0ms (0.3%)

rewrite11.0ms (0.4%)

series13.0ms (0.4%)

simplify26.0ms (0.9%)

prune51.0ms (1.7%)

localize8.0ms (0.3%)

rewrite22.0ms (0.7%)

series15.0ms (0.5%)

simplify52.0ms (1.7%)

prune80.0ms (2.6%)

localize8.0ms (0.3%)

rewrite70.0ms (2.3%)

series31.0ms (1%)

simplify105.0ms (3.4%)

prune525.0ms (17.1%)

localize9.0ms (0.3%)

rewrite65.0ms (2.1%)

series30.0ms (1%)

simplify56.0ms (1.8%)

prune81.0ms (2.6%)

regimes597.0ms (19.5%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample586.0ms (19.1%)

Profiling