Details

analyze4.0ms (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)

simplify146.0ms (8.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (43.0ms)

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

8.4b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize5.0ms (0.3%)

Local error

Found 4 expressions with local error:

7.6b	(-.f64 (/.f64 x0 (-.f64 1 x1)) x0)
1.0b	(/.f64 x0 (-.f64 1 x1))
1.0b	(/.f64 x0 (-.f64 1 x1))
7.6b	(-.f64 (/.f64 x0 (-.f64 1 x1)) x0)

rewrite25.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

31×	`add-sqr-sqrt_binary64_441`
28×	`*-un-lft-identity_binary64_419`
19×	`times-frac_binary64_425`
14×	`add-cube-cbrt_binary64_454`
10×	`difference-of-squares_binary64_388`
6×	`associate-/r*_binary64_363`
5×	`distribute-lft-out--_binary64_371`
4×	`add-log-exp_binary64_458` `add-cbrt-cube_binary64_455` `add-exp-log_binary64_457`
3×	`cancel-sign-sub-inv_binary64_385` `associate-/l*_binary64_364`
2×	`flip3--_binary64_423` `associate-/r/_binary64_365` `flip--_binary64_394` `pow1_binary64_480`
1×	`clear-num_binary64_418` `sub-neg_binary64_412` `div-inv_binary64_416` `frac-2neg_binary64_430` `diff-log_binary64_511` `div-exp_binary64_470` `cbrt-undiv_binary64_453`

Counts

2 → 58

Calls

4 calls:

14.0ms	(-.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)

series129.0ms (7.6%)

Counts

2 → 18

Calls

2 calls:

70.0ms	(-.f64 (/.f64 x0 (-.f64 1 x1)) x0)
59.0ms	(/.f64 x0 (-.f64 1 x1))

Compiler

Compiled 246 to 208 computations (15.4% saved)

simplify63.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5045	990

prune62.0ms (3.6%)

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)

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

7.6b	(-.f64 (/.f64 1 (/.f64 (-.f64 1 x1) x0)) x0)
7.6b	(-.f64 (/.f64 1 (/.f64 (-.f64 1 x1) x0)) x0)

rewrite35.0ms (2%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64_441`
8×	`*-un-lft-identity_binary64_419`
6×	`times-frac_binary64_425`
5×	`difference-of-squares_binary64_388`
3×	`add-log-exp_binary64_458` `cancel-sign-sub-inv_binary64_385`
2×	`add-cube-cbrt_binary64_454` `distribute-lft-out--_binary64_371`
1×	`distribute-rgt-out--_binary64_373` `sub-neg_binary64_412` `div-inv_binary64_416` `flip3--_binary64_423` `associate-/r/_binary64_365` `add-cbrt-cube_binary64_455` `add-exp-log_binary64_457` `diff-log_binary64_511` `flip--_binary64_394` `pow1_binary64_480`

Counts

1 → 22

Calls

2 calls:

33.0ms	(-.f64 (/.f64 1 (/.f64 (-.f64 1 x1) x0)) x0)
0.0ms	(-.f64 (/.f64 1 (/.f64 (-.f64 1 x1) x0)) x0)

series70.0ms (4.1%)

Counts

1 → 9

Calls

1 calls:

69.0ms

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

Compiler

Compiled 124 to 112 computations (9.7% saved)

simplify57.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5178	468

prune23.0ms (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)

localize6.0ms (0.4%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify6.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune1.0ms (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)

regimes366.0ms (21.5%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Compiler

Compiled 711 to 558 computations (21.5% saved)

bsearch1.0ms (0.1%)

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

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	39	41
1	39	41

end1.0ms (0.1%)

Compiler: Compiled 28 to 18 computations (35.7% saved)

sample676.0ms (39.7%)

Algorithm

1×

intervals

Results

226.0ms	8000×	pre	128	true
172.0ms	8000×	body	128	valid

Compiler

Compiled 181 to 136 computations (24.9% saved)

Pareto

Details

analyze4.0ms (0.2%)

sample18.0ms (1.1%)

simplify146.0ms (8.6%)

prune2.0ms (0.1%)

localize5.0ms (0.3%)

rewrite25.0ms (1.5%)

series129.0ms (7.6%)

simplify63.0ms (3.7%)

prune62.0ms (3.6%)

localize5.0ms (0.3%)

rewrite35.0ms (2%)

series70.0ms (4.1%)

simplify57.0ms (3.3%)

prune23.0ms (1.3%)

localize6.0ms (0.4%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify6.0ms (0.4%)

prune1.0ms (0%)

regimes366.0ms (21.5%)

bsearch1.0ms (0.1%)

simplify2.0ms (0.1%)

end1.0ms (0.1%)

sample676.0ms (39.7%)

Profiling