Details

analyze2.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
99.9%	0%	0.1%	1

Compiler

Compiled 11 to 12 computations (-9.1% saved)

sample32.0ms (1%)

Algorithm

1×

intervals

Results

13.0ms	62×	body	1024	valid
5.0ms	41×	body	512	valid
4.0ms	125×	body	128	valid
2.0ms	7×	body	2048	valid
2.0ms	21×	body	256	valid

Compiler

Compiled 21 to 25 computations (-19% saved)

simplify169.0ms (5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4758	15
1	4758	15

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

Merged error: 31.9b

Counts

2 → 1

Compiler

Compiled 20 to 22 computations (-10% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
3.6b	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)

rewrite21.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`*-un-lft-identity_binary64_419`
23×	`add-sqr-sqrt_binary64_441`
15×	`times-frac_binary64_425`
12×	`add-cube-cbrt_binary64_454`
4×	`difference-of-squares_binary64_388` `add-log-exp_binary64_458` `distribute-lft-out_binary64_370` `add-cbrt-cube_binary64_455` `add-exp-log_binary64_457` `associate-/r*_binary64_363`
3×	`cancel-sign-sub-inv_binary64_385` `associate-/l*_binary64_364`
2×	`difference-of-sqr-1_binary64_389` `associate-/r/_binary64_365` `pow1_binary64_480`
1×	`flip3-+_binary64_422` `clear-num_binary64_418` `sub-neg_binary64_412` `div-inv_binary64_416` `flip3--_binary64_423` `distribute-lft-out--_binary64_371` `frac-2neg_binary64_430` `flip-+_binary64_393` `diff-log_binary64_511` `flip--_binary64_394` `div-exp_binary64_470` `cbrt-undiv_binary64_453`

Counts

2 → 54

Calls

2 calls:

12.0ms	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
5.0ms	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))

series59.0ms (1.8%)

Counts

2 → 6

Calls

2 calls:

36.0ms	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
23.0ms	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))

simplify72.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4882	1169
1	4882	1169

prune75.0ms (2.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	58	2	60
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	59	2	61

Merged error: 0b

Counts

61 → 2

Compiler

Compiled 1044 to 952 computations (8.8% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 x (*.f64 1/3 (pow.f64 x 3)))
0.1b	(*.f64 1/3 (pow.f64 x 3))

rewrite13.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-sqr-sqrt_binary64_441`
12×	`associate-r_binary64_359`
7×	`add-exp-log_binary64_457`
6×	`*-un-lft-identity_binary64_419` `add-cube-cbrt_binary64_454`
4×	`unpow-prod-down_binary64_498` `add-log-exp_binary64_458` `unswap-sqr_binary64_387` `cube-prod_binary64_447` `add-cbrt-cube_binary64_455`
3×	`prod-exp_binary64_468` `associate-l_binary64_360`
2×	`sqr-pow_binary64_391` `pow1_binary64_480`
1×	`sub-neg_binary64_412` `unpow3_binary64_485` `cube-mult_binary64_449` `cbrt-unprod_binary64_452` `pow-exp_binary64_487` `flip3--_binary64_423` `pow-to-exp_binary64_488` `*-commutative_binary64_350` `diff-log_binary64_511` `flip--_binary64_394` `cancel-sign-sub-inv_binary64_385`

Counts

2 → 43

Calls

2 calls:

7.0ms	(*.f64 1/3 (pow.f64 x 3))
3.0ms	(-.f64 x (*.f64 1/3 (pow.f64 x 3)))

series34.0ms (1%)

Counts

2 → 6

Calls

2 calls:

24.0ms	(*.f64 1/3 (pow.f64 x 3))
10.0ms	(-.f64 x (*.f64 1/3 (pow.f64 x 3)))

simplify50.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5194	526

prune36.0ms (1.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	49	0	49
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	49	2	51

Merged error: 0b

Counts

51 → 2

Compiler

Compiled 570 to 416 computations (27% saved)

localize9.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b

(/.f64 (/.f64 2 (sqrt.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))))) (sqrt.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))

0.5b

(/.f64 2 (sqrt.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))

3.6b

(-.f64 (/.f64 (/.f64 2 (sqrt.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))))) (sqrt.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)

rewrite154.0ms (4.6%)

Algorithm

1×	rewrite-expression-head

Rules

408×	`times-frac_binary64_425`
309×	`*-un-lft-identity_binary64_419`
246×	`add-sqr-sqrt_binary64_441`
239×	`sqrt-prod_binary64_435`
188×	`add-cube-cbrt_binary64_454`
56×	`distribute-lft-out_binary64_370`
30×	`associate-/l*_binary64_364`
20×	`sqrt-div_binary64_436` `associate-/r/_binary64_365`
14×	`difference-of-squares_binary64_388` `associate-/r*_binary64_363`
10×	`flip3-+_binary64_422` `div-inv_binary64_416` `flip-+_binary64_393` `add-cbrt-cube_binary64_455` `add-exp-log_binary64_457`
7×	`difference-of-sqr-1_binary64_389`
5×	`add-log-exp_binary64_458`
4×	`div-exp_binary64_470` `cbrt-undiv_binary64_453`
3×	`cancel-sign-sub-inv_binary64_385` `pow1_binary64_480`
2×	`clear-num_binary64_418` `frac-2neg_binary64_430`
1×	`sub-neg_binary64_412` `flip3--_binary64_423` `distribute-lft-out--_binary64_371` `diff-log_binary64_511` `flip--_binary64_394` `associate-/l/_binary64_366`

Counts

3 → 321

Calls

3 calls:

79.0ms

(-.f64 (/.f64 (/.f64 2 (sqrt.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))))) (sqrt.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)

23.0ms

(/.f64 (/.f64 2 (sqrt.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))))) (sqrt.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))

7.0ms

(/.f64 2 (sqrt.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))

series109.0ms (3.2%)

Counts

3 → 9

Calls

3 calls:

47.0ms

(/.f64 2 (sqrt.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))

36.0ms

(-.f64 (/.f64 (/.f64 2 (sqrt.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))))) (sqrt.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)

25.0ms

(/.f64 (/.f64 2 (sqrt.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))))) (sqrt.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))

simplify165.0ms (4.9%)

Algorithm

1×	egg-herbie

Counts

330 → 330

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5568	12086

prune733.0ms (21.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	330	0	330
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	330	2	332

Merged error: 0b

Counts

332 → 2

Compiler

Compiled 9450 to 8581 computations (9.2% saved)

regimes361.0ms (10.8%)

Compiler: Compiled 2423 to 2484 computations (-2.5% saved)

bsearch2.0ms (0.1%)

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

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	74	49
1	74	49

end0.0ms (0%)

sample1.2s (37%)

Algorithm

1×

intervals

Results

415.0ms	2045×	body	1024	valid
153.0ms	4231×	body	128	valid
118.0ms	987×	body	512	valid
50.0ms	204×	body	2048	valid
41.0ms	533×	body	256	valid

Compiler

Compiled 264 to 267 computations (-1.1% saved)

Details

analyze2.0ms (0.1%)

sample32.0ms (1%)

simplify169.0ms (5%)

prune2.0ms (0.1%)

localize7.0ms (0.2%)

rewrite21.0ms (0.6%)

series59.0ms (1.8%)

simplify72.0ms (2.2%)

prune75.0ms (2.3%)

localize5.0ms (0.1%)

rewrite13.0ms (0.4%)

series34.0ms (1%)

simplify50.0ms (1.5%)

prune36.0ms (1.1%)

localize9.0ms (0.3%)

rewrite154.0ms (4.6%)

series109.0ms (3.2%)

simplify165.0ms (4.9%)

prune733.0ms (21.9%)

regimes361.0ms (10.8%)

bsearch2.0ms (0.1%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.2s (37%)

Profiling