Details

analyze129.0ms (13.4%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	461	10
1	461	10
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
50%	50%	0%	2
50%	50%	0%	3
87.5%	12.5%	0%	4
93.7%	6.2%	0%	5
96.8%	3.1%	0%	6
98.4%	1.6%	0%	7
99.2%	0.8%	0%	8
99.6%	0.4%	0%	9
99.8%	0.2%	0%	10
99.9%	0.1%	0%	11
99.9%	0%	0%	12
99.9%	0%	0%	13
99.9%	0%	0%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample9.0ms (1%)

Algorithm

1×

intervals

Results

5.0ms

256×

body

128

valid

Compiler

Compiled 15 to 14 computations (6.7% saved)

simplify34.0ms (3.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	461	10
1	461	10

prune2.0ms (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

Error

0.0b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize4.0ms (0.4%)

Local error

Found 1 expressions with local error:

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

rewrite12.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

42×	`*-un-lft-identity_binary64_419`
28×	`add-sqr-sqrt_binary64_441`
24×	`times-frac_binary64_425`
13×	`add-cube-cbrt_binary64_454`
10×	`difference-of-squares_binary64_388`
7×	`distribute-lft-out_binary64_370`
6×	`associate-/r*_binary64_363`
5×	`distribute-lft-out--_binary64_371`
4×	`associate-/l*_binary64_364`
3×	`add-cbrt-cube_binary64_455` `add-exp-log_binary64_457`
2×	`associate-/r/_binary64_365` `associate-/l/_binary64_366`
1×	`flip3-+_binary64_422` `clear-num_binary64_418` `add-log-exp_binary64_458` `div-inv_binary64_416` `flip3--_binary64_423` `frac-2neg_binary64_430` `flip-+_binary64_393` `flip--_binary64_394` `pow1_binary64_480` `div-exp_binary64_470` `cbrt-undiv_binary64_453`

Counts

1 → 50

Calls

1 calls:

8.0ms

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

series13.0ms (1.4%)

Counts

1 → 3

Calls

1 calls:

13.0ms

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

simplify70.0ms (7.2%)

Algorithm

1×	egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4926	942
1	4926	942

prune44.0ms (4.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	52	1	53
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	52	2	54

Error

Counts

54 → 2

Compiler

Compiled 772 to 578 computations (25.1% saved)

localize8.0ms (0.8%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (+.f64 x 1) (-.f64 1 x))
0.0b	(exp.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))
0.0b	(log.f64 (exp.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))

rewrite43.0ms (4.4%)

Algorithm

1×	rewrite-expression-head

Rules

115×	`*-un-lft-identity_binary64_419`
77×	`add-sqr-sqrt_binary64_441`
72×	`times-frac_binary64_425`
60×	`exp-prod_binary64_471`
38×	`add-cube-cbrt_binary64_454`
31×	`log-pow_binary64_508`
26×	`difference-of-squares_binary64_388`
19×	`distribute-lft-out_binary64_370`
13×	`distribute-lft-out--_binary64_371`
6×	`associate-/r/_binary64_365` `associate-/r*_binary64_363`
5×	`add-cbrt-cube_binary64_455` `add-exp-log_binary64_457`
4×	`add-log-exp_binary64_458` `pow1_binary64_480` `associate-/l*_binary64_364`
3×	`div-inv_binary64_416` `log-prod_binary64_505` `flip3--_binary64_423` `flip--_binary64_394`
2×	`associate-/l/_binary64_366`
1×	`flip3-+_binary64_422` `clear-num_binary64_418` `rem-log-exp_binary64_460` `frac-2neg_binary64_430` `flip-+_binary64_393` `rem-exp-log_binary64_459` `div-exp_binary64_470` `cbrt-undiv_binary64_453`

Counts

3 → 130

Calls

3 calls:

12.0ms	(exp.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))
11.0ms	(log.f64 (exp.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))
8.0ms	(/.f64 (+.f64 x 1) (-.f64 1 x))

series53.0ms (5.6%)

Counts

3 → 9

Calls

3 calls:

20.0ms	(exp.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))
20.0ms	(log.f64 (exp.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))
13.0ms	(/.f64 (+.f64 x 1) (-.f64 1 x))

simplify72.0ms (7.5%)

Algorithm

1×	egg-herbie

Counts

139 → 139

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5613	2127

prune131.0ms (13.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	139	0	139
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	139	2	141

Error

Counts

141 → 2

Compiler

Compiled 2293 to 1769 computations (22.9% saved)

regimes14.0ms (1.4%)

Accuracy

Total 0.0b remaining (40.9%)

Threshold costs 0.0b (40.9%)

Compiler

Compiled 48 to 42 computations (12.5% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	14
1	19	14

end0.0ms (0%)

sample320.0ms (33.4%)

Algorithm

1×

intervals

Results

160.0ms

8000×

body

128

valid

Compiler

Compiled 33 to 30 computations (9.1% saved)

Details

analyze129.0ms (13.4%)

sample9.0ms (1%)

simplify34.0ms (3.6%)

prune2.0ms (0.2%)

localize4.0ms (0.4%)

rewrite12.0ms (1.2%)

series13.0ms (1.4%)

simplify70.0ms (7.2%)

prune44.0ms (4.6%)

localize8.0ms (0.8%)

rewrite43.0ms (4.4%)

series53.0ms (5.6%)

simplify72.0ms (7.5%)

prune131.0ms (13.7%)

regimes14.0ms (1.4%)

bsearch0.0ms (0%)

simplify2.0ms (0.2%)

end0.0ms (0%)

sample320.0ms (33.4%)

Profiling