Details

analyze861.0ms (15.4%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4922	14
1	4922	14
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
25%	75%	0%	3
25%	50%	25%	4
25%	37.5%	37.5%	5
25%	31.2%	43.8%	6
25%	28.1%	46.9%	7
25%	26.5%	48.5%	8
25%	25.8%	49.2%	9
25%	25.4%	49.6%	10
25%	25.2%	49.8%	11
25%	25.1%	49.9%	12
25%	25%	50%	13
25%	25%	50%	14

Compiler

Compiled 10 to 8 computations (20% saved)

sample77.0ms (1.4%)

Algorithm

1×

intervals

Results

27.0ms	124×	body	2048	nan
14.0ms	256×	body	128	valid
8.0ms	56×	body	1024	nan
8.0ms	37×	body	512	nan
1.0ms	17×	body	256	nan
1.0ms	18×	body	128	nan

Compiler

Compiled 19 to 16 computations (15.8% saved)

simplify186.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (180.0ms)

Iter	Nodes	Cost
0	4922	14
1	4922	14

prune4.0ms (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

31.6b

Counts

2 → 1

Compiler

Compiled 18 to 14 computations (22.2% saved)

localize13.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
0.0b	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
29.5b	(sqrt.f64 (-.f64 (*.f64 x x) 1))

rewrite112.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

10×	`*-un-lft-identity_binary64_1442`
7×	`add-sqr-sqrt_binary64_1464`
6×	`sqrt-prod_binary64_1458`
5×	`pow1_binary64_1503` `add-log-exp_binary64_1481` `add-cube-cbrt_binary64_1477`
4×	`add-exp-log_binary64_1480` `log-prod_binary64_1528`
3×	`add-cbrt-cube_binary64_1478`
2×	`sqrt-div_binary64_1459` `difference-of-squares_binary64_1411` `flip3-+_binary64_1445` `log-div_binary64_1529` `flip-+_binary64_1416` `distribute-lft-out_binary64_1393`
1×	`pow1/2_binary64_1522` `sqrt-pow1_binary64_1460` `flip3--_binary64_1446` `flip--_binary64_1417` `difference-of-sqr-1_binary64_1412` `rem-sqrt-square_binary64_1455` `log-pow_binary64_1531` `rem-log-exp_binary64_1483` `sum-log_binary64_1533` `+-commutative_binary64_1372`

Counts

3 → 45

Calls

3 calls:

13.0ms	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
13.0ms	(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
9.0ms	(sqrt.f64 (-.f64 (*.f64 x x) 1))

Compiler

Compiled 804 to 493 computations (38.7% saved)

series230.0ms (4.1%)

Error

0.0b

Counts

3 → 19

Calls

3 calls:

93.0ms	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
67.0ms	(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
38.0ms	(sqrt.f64 (-.f64 (*.f64 x x) 1))

Compiler

Compiled 534 to 464 computations (13.1% saved)

simplify98.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	5336	951

prune54.0ms (1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	62	2	64
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	63	2	65

Error

Counts

65 → 2

Compiler

Compiled 873 to 568 computations (34.9% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(+.f64 x (-.f64 x (/.f64 1/2 x)))

rewrite40.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

14×	`associate-+r+_binary64_1374`
13×	`*-un-lft-identity_binary64_1442` `cancel-sign-sub-inv_binary64_1408`
9×	`times-frac_binary64_1448`
8×	`add-cube-cbrt_binary64_1477` `add-sqr-sqrt_binary64_1464`
6×	`add-log-exp_binary64_1481`
2×	`sum-log_binary64_1533` `distribute-lft-out_binary64_1393`
1×	`diff-log_binary64_1534` `pow1_binary64_1503` `add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478` `flip3-+_binary64_1445` `flip-+_binary64_1416` `distribute-lft-out--_binary64_1394` `associate-+r-_binary64_1376` `sub-neg_binary64_1435` `div-inv_binary64_1439` `+-commutative_binary64_1372`

Counts

1 → 29

Calls

1 calls:

14.0ms

(+.f64 x (-.f64 x (/.f64 1/2 x)))

Compiler

Compiled 454 to 294 computations (35.2% saved)

series59.0ms (1%)

Error

Counts

1 → 6

Calls

1 calls:

55.0ms

(+.f64 x (-.f64 x (/.f64 1/2 x)))

Compiler

Compiled 114 to 100 computations (12.3% saved)

simplify81.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4953	297
1	4953	297

prune44.0ms (0.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	35	0	35
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	35	2	37

Error

Counts

37 → 2

Compiler

Compiled 474 to 296 computations (37.6% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (+.f64 -1 (*.f64 x x))))))
0.0b	(log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (+.f64 -1 (*.f64 x x))))))
29.5b	(sqrt.f64 (+.f64 -1 (*.f64 x x)))
29.5b	(sqrt.f64 (+.f64 -1 (*.f64 x x)))

rewrite216.0ms (3.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

14×	`sqrt-prod_binary64_1458` `*-un-lft-identity_binary64_1442` `log-prod_binary64_1528`
12×	`add-sqr-sqrt_binary64_1464`
10×	`pow1_binary64_1503` `add-cube-cbrt_binary64_1477`
8×	`sqrt-div_binary64_1459`
6×	`add-exp-log_binary64_1480` `log-pow_binary64_1531`
4×	`pow1/2_binary64_1522` `add-log-exp_binary64_1481` `add-cbrt-cube_binary64_1478` `sqrt-pow1_binary64_1460` `flip3-+_binary64_1445` `flip-+_binary64_1416` `log-div_binary64_1529`
2×	`rem-sqrt-square_binary64_1455` `distribute-lft-out_binary64_1393` `rem-log-exp_binary64_1483`

Counts

4 → 70

Calls

4 calls:

11.0ms	(log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (+.f64 -1 (*.f64 x x))))))
8.0ms	(log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (+.f64 -1 (*.f64 x x))))))
4.0ms	(sqrt.f64 (+.f64 -1 (*.f64 x x)))
3.0ms	(sqrt.f64 (+.f64 -1 (*.f64 x x)))

Compiler

Compiled 2130 to 1359 computations (36.2% saved)

series250.0ms (4.5%)

Error

Counts

4 → 22

Calls

4 calls:

62.0ms	(sqrt.f64 (+.f64 -1 (*.f64 x x)))
52.0ms	(sqrt.f64 (+.f64 -1 (*.f64 x x)))
44.0ms	(log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (+.f64 -1 (*.f64 x x))))))
44.0ms	(log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (+.f64 -1 (*.f64 x x))))))

Compiler

Compiled 1214 to 929 computations (23.5% saved)

simplify107.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	4801	1492
1	4801	1492

prune176.0ms (3.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	92	0	92
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	92	2	94

Error

Counts

94 → 2

Compiler

Compiled 2346 to 1533 computations (34.7% saved)

regimes76.0ms (1.4%)

Accuracy

Total 0.0b remaining (6.8%)

Threshold costs 0.0b (6.8%)

Compiler

Compiled 322 to 245 computations (23.9% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	19
1	23	19

end0.0ms (0%)

sample2.9s (51.7%)

Algorithm

1×

intervals

Results

1.0s	4055×	body	2048	nan
510.0ms	8000×	body	128	valid
394.0ms	2022×	body	1024	nan
143.0ms	1011×	body	512	nan
42.0ms	435×	body	256	nan
26.0ms	519×	body	128	nan
0.0ms	1×	body	4096	nan

Compiler

Compiled 102 to 80 computations (21.6% saved)

Details

analyze861.0ms (15.4%)

sample77.0ms (1.4%)

simplify186.0ms (3.3%)

prune4.0ms (0.1%)

localize13.0ms (0.2%)

rewrite112.0ms (2%)

series230.0ms (4.1%)

simplify98.0ms (1.8%)

prune54.0ms (1%)

localize6.0ms (0.1%)

rewrite40.0ms (0.7%)

series59.0ms (1%)

simplify81.0ms (1.5%)

prune44.0ms (0.8%)

localize12.0ms (0.2%)

rewrite216.0ms (3.9%)

series250.0ms (4.5%)

simplify107.0ms (1.9%)

prune176.0ms (3.1%)

regimes76.0ms (1.4%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample2.9s (51.7%)

Profiling