Details

analyze2.0ms (0%)

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)

sample31.0ms (0.8%)

Algorithm

1×

intervals

Results

13.0ms	57×	body	1024	valid
5.0ms	145×	body	128	valid
4.0ms	31×	body	512	valid
1.0ms	18×	body	256	valid
1.0ms	5×	body	2048	valid

Compiler

Compiled 21 to 25 computations (-19% saved)

simplify251.0ms (6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (79.0ms)

Iter	Nodes	Cost
0	4638	15
1	4638	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: 27.3b

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))))
3.3b	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)

rewrite24.0ms (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:

13.0ms	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
6.0ms	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))

series151.0ms (3.6%)

Counts

2 → 6

Calls

2 calls:

94.0ms	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
58.0ms	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))

simplify69.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4991	1187
1	4991	1187

prune79.0ms (1.9%)

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 1062 to 967 computations (8.9% saved)

localize12.0ms (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)))))

3.3b

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

rewrite175.0ms (4.2%)

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:

90.0ms

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

21.0ms

(/.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)))))

series242.0ms (5.8%)

Counts

3 → 9

Calls

3 calls:

96.0ms

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

92.0ms

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

53.0ms

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

simplify188.0ms (4.5%)

Algorithm

1×	egg-herbie

Counts

330 → 330

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	4904	12113
1	4904	12113

prune821.0ms (19.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

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

Merged error: 0b

Counts

332 → 2

Compiler

Compiled 9481 to 8608 computations (9.2% saved)

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 2/15 (pow.f64 x 5))
0.1b	(*.f64 1/3 (pow.f64 x 3))
20.3b	(-.f64 (+.f64 x (.f64 2/15 (pow.f64 x 5))) (.f64 1/3 (pow.f64 x 3)))

rewrite27.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`add-sqr-sqrt_binary64_441`
19×	`associate-r_binary64_359`
13×	`add-exp-log_binary64_457`
10×	`*-un-lft-identity_binary64_419` `add-cube-cbrt_binary64_454`
8×	`unpow-prod-down_binary64_498` `add-log-exp_binary64_458`
7×	`unswap-sqr_binary64_387` `add-cbrt-cube_binary64_455`
6×	`prod-exp_binary64_468` `associate-l_binary64_360`
4×	`sqr-pow_binary64_391` `cube-prod_binary64_447`
3×	`pow1_binary64_480`
2×	`cbrt-unprod_binary64_452` `pow-exp_binary64_487` `pow-to-exp_binary64_488` `*-commutative_binary64_350` `diff-log_binary64_511`
1×	`associate--l+_binary64_356` `sub-neg_binary64_412` `unpow3_binary64_485` `cube-mult_binary64_449` `sum-log_binary64_510` `flip3--_binary64_423` `flip--_binary64_394` `cancel-sign-sub-inv_binary64_385`

Counts

3 → 70

Calls

3 calls:

8.0ms	(*.f64 1/3 (pow.f64 x 3))
7.0ms	(-.f64 (+.f64 x (.f64 2/15 (pow.f64 x 5))) (.f64 1/3 (pow.f64 x 3)))
7.0ms	(*.f64 2/15 (pow.f64 x 5))

series182.0ms (4.3%)

Counts

3 → 9

Calls

3 calls:

70.0ms	(*.f64 2/15 (pow.f64 x 5))
61.0ms	(-.f64 (+.f64 x (.f64 2/15 (pow.f64 x 5))) (.f64 1/3 (pow.f64 x 3)))
51.0ms	(*.f64 1/3 (pow.f64 x 3))

simplify75.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4866	994
1	4866	994

prune82.0ms (2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	79	0	79
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	79	2	81

Merged error: 0b

Counts

81 → 2

Compiler

Compiled 1395 to 1076 computations (22.9% saved)

regimes426.0ms (10.1%)

Compiler: Compiled 3021 to 3041 computations (-0.7% saved)

bsearch2.0ms (0%)

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	79	54
1	79	54

end0.0ms (0%)

sample1.3s (31.8%)

Algorithm

1×

intervals

Results

424.0ms	1994×	body	1024	valid
158.0ms	4259×	body	128	valid
133.0ms	1047×	body	512	valid
57.0ms	210×	body	2048	valid
40.0ms	490×	body	256	valid

Compiler

Compiled 325 to 323 computations (0.6% saved)

Details

analyze2.0ms (0%)

sample31.0ms (0.8%)

simplify251.0ms (6%)

prune2.0ms (0.1%)

localize7.0ms (0.2%)

rewrite24.0ms (0.6%)

series151.0ms (3.6%)

simplify69.0ms (1.7%)

prune79.0ms (1.9%)

localize12.0ms (0.3%)

rewrite175.0ms (4.2%)

series242.0ms (5.8%)

simplify188.0ms (4.5%)

prune821.0ms (19.6%)

localize10.0ms (0.2%)

rewrite27.0ms (0.7%)

series182.0ms (4.3%)

simplify75.0ms (1.8%)

prune82.0ms (2%)

regimes426.0ms (10.1%)

bsearch2.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.3s (31.8%)

Profiling