Details

analyze258.0ms (1.4%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
12.5%	87.4%	0.1%	6
28.1%	71.8%	0.1%	7
42.1%	57.7%	0.1%	8
43.7%	56.2%	0.1%	9
64.4%	35.5%	0.1%	10
71.6%	28.3%	0.1%	11
72.2%	27.7%	0.1%	12
81.6%	18.2%	0.2%	13
84.9%	14.9%	0.2%	14

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample17.0ms (0.1%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	80	valid
0.0ms	7×	body	80	invalid

Compiler

Compiled 25 to 20 computations (20% saved)

simplify165.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (156.0ms)

Iter	Nodes	Cost
0	4903	16
1	4903	16

prune12.0ms (0.1%)

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: 1.1b

Counts

2 → 2

Compiler

Compiled 34 to 26 computations (23.5% saved)

localize7.0ms (0%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 v (+.f64 t1 u))
2.6b	(/.f64 (/.f64 v (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1)))

rewrite33.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

223×	`times-frac_binary64`
181×	`add-sqr-sqrt_binary64`
174×	`*-un-lft-identity_binary64`
86×	`add-cube-cbrt_binary64`
38×	`difference-of-squares_binary64`
25×	`distribute-lft-out_binary64`
21×	`associate-/l*_binary64`
19×	`distribute-lft-out--_binary64`
18×	`associate-/r/_binary64`
10×	`associate-/r*_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `div-inv_binary64`
8×	`flip3-+_binary64` `flip-+_binary64`
4×	`cbrt-undiv_binary64` `div-exp_binary64`
2×	`add-log-exp_binary64` `pow1_binary64` `clear-num_binary64` `frac-2neg_binary64`
1×	`associate-/l/_binary64` `flip3--_binary64` `flip--_binary64`

Counts

2 → 182

Calls

2 calls:

16.0ms	(/.f64 (/.f64 v (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1)))
6.0ms	(/.f64 v (+.f64 t1 u))

series25.0ms (0.1%)

Counts

2 → 6

Calls

2 calls:

17.0ms	(/.f64 (/.f64 v (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1)))
7.0ms	(/.f64 v (+.f64 t1 u))

simplify107.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

188 → 188

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5150	5524

prune142.0ms (0.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	183	5	188
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	183	7	190

Merged error: 0.7b

Counts

190 → 7

Compiler

Compiled 4374 to 1495 computations (65.8% saved)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 v)
11.0b	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))
11.0b	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))
11.0b	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))

rewrite26.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`add-sqr-sqrt_binary64`
21×	`cbrt-prod_binary64`
14×	`*-un-lft-identity_binary64`
8×	`add-cube-cbrt_binary64`
6×	`cbrt-div_binary64` `difference-of-squares_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `pow1/3_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`flip3--_binary64` `distribute-lft-out--_binary64` `times-frac_binary64` `flip--_binary64`

Counts

4 → 59

Calls

4 calls:

9.0ms	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))
7.0ms	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))
7.0ms	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))
1.0ms	(cbrt.f64 v)

series145.0ms (0.8%)

Counts

4 → 12

Calls

4 calls:

45.0ms	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))
44.0ms	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))
41.0ms	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))
15.0ms	(cbrt.f64 v)

simplify101.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (83.0ms)

Iter	Nodes	Cost
0	4854	971
1	4854	971

prune73.0ms (0.4%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	71	0	71
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	71	7	78

Merged error: 0.7b

Counts

78 → 7

Compiler

Compiled 3579 to 1247 computations (65.2% saved)

localize8.0ms (0%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (+.f64 t1 u) v)
0.2b	(/.f64 1 (/.f64 (+.f64 t1 u) v))
2.6b	(/.f64 (/.f64 1 (/.f64 (+.f64 t1 u) v)) (-.f64 -1 (/.f64 u t1)))

rewrite84.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

1068×	`times-frac_binary64`
672×	`add-sqr-sqrt_binary64`
668×	`*-un-lft-identity_binary64`
402×	`add-cube-cbrt_binary64`
108×	`difference-of-squares_binary64`
79×	`distribute-lft-out_binary64`
60×	`associate-/l*_binary64`
54×	`distribute-lft-out--_binary64`
35×	`add-exp-log_binary64` `div-inv_binary64`
25×	`associate-/r*_binary64`
22×	`div-exp_binary64`
19×	`add-cbrt-cube_binary64`
10×	`cbrt-undiv_binary64` `associate-/r/_binary64`
4×	`pow1_binary64` `1-exp_binary64` `rec-exp_binary64`
3×	`associate-/l/_binary64` `add-log-exp_binary64` `clear-num_binary64` `frac-2neg_binary64`
1×	`flip3-+_binary64` `flip3--_binary64` `inv-pow_binary64` `flip--_binary64` `pow-flip_binary64` `flip-+_binary64`

Counts

3 → 521

Calls

3 calls:

27.0ms	(/.f64 (/.f64 1 (/.f64 (+.f64 t1 u) v)) (-.f64 -1 (/.f64 u t1)))
11.0ms	(/.f64 1 (/.f64 (+.f64 t1 u) v))
6.0ms	(/.f64 (+.f64 t1 u) v)

series48.0ms (0.3%)

Counts

3 → 9

Calls

3 calls:

29.0ms	(/.f64 (/.f64 1 (/.f64 (+.f64 t1 u) v)) (-.f64 -1 (/.f64 u t1)))
13.0ms	(/.f64 1 (/.f64 (+.f64 t1 u) v))
6.0ms	(/.f64 (+.f64 t1 u) v)

simplify213.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

530 → 530

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	5060	17556

prune447.0ms (2.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	529	1	530
Fresh	1	3	4
Picked	1	0	1
Done	0	2	2
Total	531	6	537

Merged error: 0.7b

Counts

537 → 6

Compiler

Compiled 13510 to 5228 computations (61.3% saved)

localize14.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 1 (+.f64 t1 u))
0.3b	(/.f64 (/.f64 1 (+.f64 t1 u)) (/.f64 1 v))
2.6b	(/.f64 (/.f64 (/.f64 1 (+.f64 t1 u)) (/.f64 1 v)) (-.f64 -1 (/.f64 u t1)))

rewrite344.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Rules

6123×	`times-frac_binary64`
3314×	`add-sqr-sqrt_binary64`
3232×	`*-un-lft-identity_binary64`
2114×	`add-cube-cbrt_binary64`
480×	`difference-of-squares_binary64`
319×	`distribute-lft-out_binary64`
260×	`associate-/l*_binary64` `div-inv_binary64`
240×	`distribute-lft-out--_binary64`
222×	`associate-/r/_binary64`
106×	`flip3-+_binary64` `flip-+_binary64`
105×	`add-exp-log_binary64`
83×	`div-exp_binary64`
35×	`add-cbrt-cube_binary64`
23×	`associate-/r*_binary64`
22×	`cbrt-undiv_binary64`
17×	`1-exp_binary64` `rec-exp_binary64`
4×	`pow1_binary64`
3×	`add-log-exp_binary64` `clear-num_binary64` `frac-2neg_binary64`
2×	`associate-/l/_binary64`
1×	`flip3--_binary64` `inv-pow_binary64` `flip--_binary64` `pow-flip_binary64`

Counts

3 → 2048

Calls

3 calls:

78.0ms	(/.f64 (/.f64 (/.f64 1 (+.f64 t1 u)) (/.f64 1 v)) (-.f64 -1 (/.f64 u t1)))
16.0ms	(/.f64 (/.f64 1 (+.f64 t1 u)) (/.f64 1 v))
6.0ms	(/.f64 1 (+.f64 t1 u))

series48.0ms (0.3%)

Counts

3 → 9

Calls

3 calls:

24.0ms	(/.f64 (/.f64 (/.f64 1 (+.f64 t1 u)) (/.f64 1 v)) (-.f64 -1 (/.f64 u t1)))
18.0ms	(/.f64 (/.f64 1 (+.f64 t1 u)) (/.f64 1 v))
5.0ms	(/.f64 1 (+.f64 t1 u))

simplify747.0ms (4.2%)

Algorithm

1×	egg-herbie

Counts

2057 → 2057

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	5156	89039

prune13.8s (76.8%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	2057	0	2057
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	2057	6	2063

Merged error: 0.7b

Counts

2063 → 6

Compiler

Compiled 64958 to 33591 computations (48.3% saved)

regimes159.0ms (0.9%)

Compiler: Compiled 458 to 334 computations (27.1% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	37	70
1	37	70

end0.0ms (0%)

sample913.0ms (5.1%)

Algorithm

1×

intervals

Results

257.0ms	8000×	body	80	valid
8.0ms	249×	body	80	invalid

Compiler

Compiled 164 to 111 computations (32.3% saved)

Details

analyze258.0ms (1.4%)

sample17.0ms (0.1%)

simplify165.0ms (0.9%)

prune12.0ms (0.1%)

localize7.0ms (0%)

rewrite33.0ms (0.2%)

series25.0ms (0.1%)

simplify107.0ms (0.6%)

prune142.0ms (0.8%)

localize19.0ms (0.1%)

rewrite26.0ms (0.1%)

series145.0ms (0.8%)

simplify101.0ms (0.6%)

prune73.0ms (0.4%)

localize8.0ms (0%)

rewrite84.0ms (0.5%)

series48.0ms (0.3%)

simplify213.0ms (1.2%)

prune447.0ms (2.5%)

localize14.0ms (0.1%)

rewrite344.0ms (1.9%)

series48.0ms (0.3%)

simplify747.0ms (4.2%)

prune13.8s (76.8%)

regimes159.0ms (0.9%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample913.0ms (5.1%)

Profiling