Details

analyze3.0ms (0.3%)

Algorithm

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)

sample10.0ms (0.9%)

Algorithm

1×

intervals

Results

6.0ms

256×

body

128

valid

Compiler

Compiled 15 to 14 computations (6.7% saved)

simplify176.0ms (16.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	36	10
1	36	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

Merged 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))

rewrite13.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

42×	`*-un-lft-identity_binary64_423`
28×	`add-sqr-sqrt_binary64_445`
24×	`times-frac_binary64_429`
13×	`add-cube-cbrt_binary64_458`
10×	`difference-of-squares_binary64_392`
7×	`distribute-lft-out_binary64_374`
6×	`associate-/r*_binary64_367`
5×	`distribute-lft-out--_binary64_375`
4×	`associate-/l*_binary64_368`
3×	`add-exp-log_binary64_461` `add-cbrt-cube_binary64_459`
2×	`associate-/l/_binary64_370` `associate-/r/_binary64_369`
1×	`flip-+_binary64_397` `pow1_binary64_484` `flip3--_binary64_427` `clear-num_binary64_422` `flip3-+_binary64_426` `frac-2neg_binary64_434` `add-log-exp_binary64_462` `flip--_binary64_398` `div-inv_binary64_420` `cbrt-undiv_binary64_457` `div-exp_binary64_474`

Counts

1 → 50

Calls

1 calls:

9.0ms

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

series28.0ms (2.6%)

Counts

1 → 3

Calls

1 calls:

28.0ms

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

simplify67.0ms (6.1%)

Algorithm

1×	egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5243	942

prune45.0ms (4.1%)

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

Merged error: 0b

Counts

54 → 2

Compiler

Compiled 788 to 592 computations (24.9% saved)

localize10.0ms (0.9%)

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))))

rewrite45.0ms (4.1%)

Algorithm

1×	rewrite-expression-head

Rules

115×	`*-un-lft-identity_binary64_423`
77×	`add-sqr-sqrt_binary64_445`
72×	`times-frac_binary64_429`
60×	`exp-prod_binary64_475`
38×	`add-cube-cbrt_binary64_458`
31×	`log-pow_binary64_512`
26×	`difference-of-squares_binary64_392`
19×	`distribute-lft-out_binary64_374`
13×	`distribute-lft-out--_binary64_375`
6×	`associate-/r/_binary64_369` `associate-/r*_binary64_367`
5×	`add-exp-log_binary64_461` `add-cbrt-cube_binary64_459`
4×	`pow1_binary64_484` `add-log-exp_binary64_462` `associate-/l*_binary64_368`
3×	`flip3--_binary64_427` `flip--_binary64_398` `div-inv_binary64_420` `log-prod_binary64_509`
2×	`associate-/l/_binary64_370`
1×	`flip-+_binary64_397` `rem-exp-log_binary64_463` `clear-num_binary64_422` `flip3-+_binary64_426` `rem-log-exp_binary64_464` `frac-2neg_binary64_434` `cbrt-undiv_binary64_457` `div-exp_binary64_474`

Counts

3 → 130

Calls

3 calls:

13.0ms	(log.f64 (exp.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))
11.0ms	(exp.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))
9.0ms	(/.f64 (+.f64 x 1) (-.f64 1 x))

series108.0ms (9.9%)

Counts

3 → 9

Calls

3 calls:

44.0ms	(exp.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))
38.0ms	(log.f64 (exp.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))
26.0ms	(/.f64 (+.f64 x 1) (-.f64 1 x))

simplify88.0ms (8.1%)

Algorithm

1×	egg-herbie

Counts

139 → 139

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	5329	2127

prune136.0ms (12.4%)

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

Merged error: 0b

Counts

141 → 2

Compiler

Compiled 2293 to 1769 computations (22.9% saved)

regimes14.0ms (1.3%)

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	17	10
1	17	10

end0.0ms (0%)

sample343.0ms (31.3%)

Algorithm

1×

intervals

Results

177.0ms

8000×

body

128

valid

Compiler

Compiled 31 to 28 computations (9.7% saved)

Details

analyze3.0ms (0.3%)

sample10.0ms (0.9%)

simplify176.0ms (16.1%)

prune2.0ms (0.2%)

localize4.0ms (0.4%)

rewrite13.0ms (1.2%)

series28.0ms (2.6%)

simplify67.0ms (6.1%)

prune45.0ms (4.1%)

localize10.0ms (0.9%)

rewrite45.0ms (4.1%)

series108.0ms (9.9%)

simplify88.0ms (8.1%)

prune136.0ms (12.4%)

regimes14.0ms (1.3%)

bsearch0.0ms (0%)

simplify2.0ms (0.2%)

end0.0ms (0%)

sample343.0ms (31.3%)

Profiling