Details

analyze3.0ms (0.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	0%	100%	0
0%	0%	100%	1

Compiler

Compiled 22 to 17 computations (22.7% saved)

sample18.0ms (1.1%)

Algorithm

1×

intervals

Results

7.0ms	256×	pre	128	true
5.0ms	256×	body	128	valid

Compiler

Compiled 29 to 25 computations (13.8% saved)

simplify140.0ms (8.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	498	10
1	498	10

prune2.0ms (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

Error

8.6b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize9.0ms (0.6%)

Local error

Found 4 expressions with local error:

7.8b	(-.f64 (/.f64 x0 (-.f64 1 x1)) x0)
1.0b	(/.f64 x0 (-.f64 1 x1))
1.0b	(/.f64 x0 (-.f64 1 x1))
7.8b	(-.f64 (/.f64 x0 (-.f64 1 x1)) x0)

rewrite23.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

31×	`add-sqr-sqrt_binary64_4533`
28×	`*-un-lft-identity_binary64_4511`
19×	`times-frac_binary64_4517`
14×	`add-cube-cbrt_binary64_4546`
10×	`difference-of-squares_binary64_4480`
6×	`associate-/r*_binary64_4455`
5×	`distribute-lft-out--_binary64_4463`
4×	`add-cbrt-cube_binary64_4547` `add-exp-log_binary64_4549` `add-log-exp_binary64_4550`
3×	`associate-/l*_binary64_4456` `cancel-sign-sub-inv_binary64_4477`
2×	`flip--_binary64_4486` `pow1_binary64_4572` `flip3--_binary64_4515` `associate-/r/_binary64_4457`
1×	`div-exp_binary64_4562` `diff-log_binary64_4603` `frac-2neg_binary64_4522` `sub-neg_binary64_4504` `clear-num_binary64_4510` `div-inv_binary64_4508` `cbrt-undiv_binary64_4545`

Counts

2 → 58

Calls

4 calls:

13.0ms	(-.f64 (/.f64 x0 (-.f64 1 x1)) x0)
6.0ms	(/.f64 x0 (-.f64 1 x1))
0.0ms	(/.f64 x0 (-.f64 1 x1))
0.0ms	(-.f64 (/.f64 x0 (-.f64 1 x1)) x0)

series127.0ms (8%)

Counts

2 → 18

Calls

2 calls:

69.0ms	(-.f64 (/.f64 x0 (-.f64 1 x1)) x0)
57.0ms	(/.f64 x0 (-.f64 1 x1))

Compiler

Compiled 246 to 208 computations (15.4% saved)

simplify66.0ms (4.2%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5045	990

prune61.0ms (3.8%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	74	2	76
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	75	2	77

Error

4.1b

Counts

77 → 2

Compiler

Compiled 936 to 536 computations (42.7% saved)

localize6.0ms (0.4%)

Local error

Found 2 expressions with local error:

7.8b	(-.f64 (/.f64 1 (/.f64 (-.f64 1 x1) x0)) x0)
7.8b	(-.f64 (/.f64 1 (/.f64 (-.f64 1 x1) x0)) x0)

rewrite31.0ms (2%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64_4533`
8×	`*-un-lft-identity_binary64_4511`
6×	`times-frac_binary64_4517`
5×	`difference-of-squares_binary64_4480`
3×	`add-log-exp_binary64_4550` `cancel-sign-sub-inv_binary64_4477`
2×	`distribute-lft-out--_binary64_4463` `add-cube-cbrt_binary64_4546`
1×	`flip--_binary64_4486` `pow1_binary64_4572` `add-cbrt-cube_binary64_4547` `add-exp-log_binary64_4549` `distribute-rgt-out--_binary64_4465` `flip3--_binary64_4515` `associate-/r/_binary64_4457` `diff-log_binary64_4603` `sub-neg_binary64_4504` `div-inv_binary64_4508`

Counts

1 → 22

Calls

2 calls:

29.0ms	(-.f64 (/.f64 1 (/.f64 (-.f64 1 x1) x0)) x0)
0.0ms	(-.f64 (/.f64 1 (/.f64 (-.f64 1 x1) x0)) x0)

series72.0ms (4.5%)

Counts

1 → 9

Calls

1 calls:

72.0ms

(-.f64 (/.f64 1 (/.f64 (-.f64 1 x1) x0)) x0)

Compiler

Compiled 124 to 112 computations (9.7% saved)

simplify60.0ms (3.8%)

Algorithm

1×	egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5178	468

prune21.0ms (1.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	31	0	31
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	31	2	33

Error

4.1b

Counts

33 → 2

Compiler

Compiled 398 to 242 computations (39.2% saved)

localize8.0ms (0.5%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify7.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune0.0ms (0%)

Pruning

2 alts after pruning (0 fresh and 2 done)

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

Error

4.1b

Counts

2 → 2

Compiler

Compiled 0 to 0 computations (0% saved)

simplify4.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	90	197
1	90	197

regimes88.0ms (5.5%)

Compiler: Compiled 729 to 612 computations (16% saved)

bsearch1.0ms (0%)

Compiler: Compiled 3 to 4 computations (-33.3% saved)

regimes35.0ms (2.2%)

Compiler: Compiled 124 to 147 computations (-18.5% saved)

bsearch0.0ms (0%)

regimes26.0ms (1.6%)

Compiler: Compiled 64 to 88 computations (-37.5% saved)

bsearch0.0ms (0%)

regimes10.0ms (0.7%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Compiler

Compiled 10 to 26 computations (-160% saved)

bsearch3.0ms (0.2%)

Compiler: Compiled 45 to 35 computations (22.2% saved)

simplify3.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	43	65
1	43	65

end0.0ms (0%)

sample768.0ms (48.2%)

Algorithm

1×

intervals

Results

224.0ms	8000×	pre	128	true
172.0ms	8000×	body	128	valid

Compiler

Compiled 208 to 168 computations (19.2% saved)

Pareto

0.6028571457109665

Details

analyze3.0ms (0.2%)

sample18.0ms (1.1%)

simplify140.0ms (8.8%)

prune2.0ms (0.1%)

localize9.0ms (0.6%)

rewrite23.0ms (1.5%)

series127.0ms (8%)

simplify66.0ms (4.2%)

prune61.0ms (3.8%)

localize6.0ms (0.4%)

rewrite31.0ms (2%)

series72.0ms (4.5%)

simplify60.0ms (3.8%)

prune21.0ms (1.3%)

localize8.0ms (0.5%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify7.0ms (0.4%)

prune0.0ms (0%)

simplify4.0ms (0.3%)

regimes88.0ms (5.5%)

bsearch1.0ms (0%)

regimes35.0ms (2.2%)

bsearch0.0ms (0%)

regimes26.0ms (1.6%)

bsearch0.0ms (0%)

regimes10.0ms (0.7%)

bsearch3.0ms (0.2%)

simplify3.0ms (0.2%)

end0.0ms (0%)

sample768.0ms (48.2%)

Profiling