Details

analyze1.4s (16.7%)

Algorithm

1×

Search

True	Other	False	Iter
0%	50%	50%	0
0%	50%	50%	1
0%	50%	50%	2
0%	50%	50%	3
0%	50%	50%	4
3.1%	46.8%	50%	5
4.7%	45.3%	50%	6
5.5%	44.5%	50%	7
5.9%	44.1%	50%	8
6%	43.9%	50%	9
6.1%	43.8%	50%	10
6.2%	43.8%	50%	11
6.2%	43.7%	50%	12
6.2%	43.7%	50%	13
6.2%	43.7%	50%	14

Compiler

Compiled 16 to 13 computations (18.8% saved)

sample145.0ms (1.8%)

Algorithm

1×

intervals

Results

91.0ms	129×	body	1024	valid
20.0ms	61×	body	512	valid
14.0ms	15×	body	2048	valid
5.0ms	32×	body	256	valid
5.0ms	256×	pre	128	true
1.0ms	19×	body	128	valid

Compiler

Compiled 25 to 22 computations (12% saved)

simplify176.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	38	14
1	38	14

prune2.0ms (0%)

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: 61.2b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
5.8b	(log.f64 (-.f64 1 x))
6.3b	(log.f64 (+.f64 1 x))

rewrite24.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`*-un-lft-identity_binary64_419`
18×	`add-sqr-sqrt_binary64_441`
16×	`times-frac_binary64_425`
15×	`add-cube-cbrt_binary64_454` `pow1_binary64_480`
12×	`log-pow_binary64_508`
10×	`log-prod_binary64_505`
7×	`add-exp-log_binary64_457`
6×	`log-div_binary64_506`
5×	`add-cbrt-cube_binary64_455`
4×	`associate-/r_binary64_363` `associate-/l_binary64_364`
3×	`add-log-exp_binary64_458`
2×	`difference-of-squares_binary64_388` `rem-log-exp_binary64_460` `flip3--_binary64_423` `flip--_binary64_394` `div-sub_binary64_424`
1×	`flip3-+_binary64_422` `clear-num_binary64_418` `div-inv_binary64_416` `distribute-lft-out_binary64_370` `distribute-lft-out--_binary64_371` `frac-2neg_binary64_430` `flip-+_binary64_393` `div-exp_binary64_470` `cbrt-undiv_binary64_453`

Counts

3 → 70

Calls

3 calls:

10.0ms	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
5.0ms	(log.f64 (-.f64 1 x))
4.0ms	(log.f64 (+.f64 1 x))

series179.0ms (2.2%)

Counts

3 → 9

Calls

3 calls:

129.0ms	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
25.0ms	(log.f64 (-.f64 1 x))
25.0ms	(log.f64 (+.f64 1 x))

simplify55.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	4985	1554
1	4985	1554

prune97.0ms (1.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	77	2	79
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	77	3	80

Merged error: 0.0b

Counts

80 → 3

Compiler

Compiled 1362 to 1049 computations (23% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

rewrite16.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`add-log-exp_binary64_458` `add-sqr-sqrt_binary64_441` `add-cbrt-cube_binary64_455` `add-exp-log_binary64_457` `pow1_binary64_480`
6×	`*-un-lft-identity_binary64_419`
4×	`add-cube-cbrt_binary64_454`
3×	`pow-prod-down_binary64_490` `associate-r_binary64_359` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `cancel-sign-sub-inv_binary64_385`
2×	`diff-log_binary64_511`
1×	`sub-neg_binary64_412` `difference-of-squares_binary64_388` `unswap-sqr_binary64_387` `sum-log_binary64_510` `flip3--_binary64_423` `distribute-lft-out--_binary64_371` `-commutative_binary64_350` `associate-l*_binary64_360` `associate--r+_binary64_355` `flip--_binary64_394`

Counts

2 → 37

Calls

2 calls:

7.0ms	(.f64 (.f64 x x) 1/2)
7.0ms	(-.f64 -1 (+.f64 x (.f64 (.f64 x x) 1/2)))

series64.0ms (0.8%)

Counts

2 → 6

Calls

2 calls:

36.0ms	(.f64 (.f64 x x) 1/2)
27.0ms	(-.f64 -1 (+.f64 x (.f64 (.f64 x x) 1/2)))

simplify54.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4934	539
1	4934	539

prune32.0ms (0.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	43	0	43
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	43	3	46

Merged error: 0.0b

Counts

46 → 3

Compiler

Compiled 560 to 369 computations (34.1% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (+.f64 (log.f64 (sqrt.f64 (-.f64 1 x))) (log.f64 (sqrt.f64 (-.f64 1 x)))) (log.f64 (+.f64 1 x)))
5.6b	(log.f64 (sqrt.f64 (-.f64 1 x)))
5.6b	(log.f64 (sqrt.f64 (-.f64 1 x)))
6.3b	(log.f64 (+.f64 1 x))

rewrite59.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

144×	`log-pow_binary64_508`
116×	`pow1_binary64_480`
104×	`times-frac_binary64_425`
99×	`*-un-lft-identity_binary64_419`
67×	`add-sqr-sqrt_binary64_441`
61×	`add-cube-cbrt_binary64_454`
50×	`distribute-rgt-out_binary64_372`
41×	`distribute-lft-out_binary64_370`
32×	`pow1/2_binary64_499` `sqrt-pow1_binary64_437`
26×	`associate-/l*_binary64_364`
22×	`log-prod_binary64_505`
12×	`sqrt-prod_binary64_435`
10×	`distribute-rgt1-in_binary64_375` `log-div_binary64_506` `distribute-lft1-in_binary64_374`
9×	`add-exp-log_binary64_457`
8×	`sqrt-div_binary64_436`
6×	`add-cbrt-cube_binary64_455`
5×	`count-2_binary64_367`
4×	`difference-of-squares_binary64_388` `add-log-exp_binary64_458` `flip3--_binary64_423` `flip--_binary64_394` `associate-/r*_binary64_363` `div-sub_binary64_424`
3×	`rem-log-exp_binary64_460`
2×	`flip3-+_binary64_422` `associate-+l-_binary64_354` `distribute-lft-out--_binary64_371` `associate-+r-_binary64_353` `flip-+_binary64_393` `associate-/l/_binary64_366`
1×	`clear-num_binary64_418` `div-inv_binary64_416` `frac-2neg_binary64_430` `div-exp_binary64_470` `cbrt-undiv_binary64_453`

Counts

4 → 211

Calls

4 calls:

18.0ms	(/.f64 (+.f64 (log.f64 (sqrt.f64 (-.f64 1 x))) (log.f64 (sqrt.f64 (-.f64 1 x)))) (log.f64 (+.f64 1 x)))
6.0ms	(log.f64 (sqrt.f64 (-.f64 1 x)))
5.0ms	(log.f64 (sqrt.f64 (-.f64 1 x)))
4.0ms	(log.f64 (+.f64 1 x))

series335.0ms (4.1%)

Counts

4 → 12

Calls

4 calls:

226.0ms	(/.f64 (+.f64 (log.f64 (sqrt.f64 (-.f64 1 x))) (log.f64 (sqrt.f64 (-.f64 1 x)))) (log.f64 (+.f64 1 x)))
43.0ms	(log.f64 (sqrt.f64 (-.f64 1 x)))
42.0ms	(log.f64 (sqrt.f64 (-.f64 1 x)))
24.0ms	(log.f64 (+.f64 1 x))

simplify83.0ms (1%)

Algorithm

1×	egg-herbie

Counts

223 → 223

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5204	5672

prune327.0ms (4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	221	2	223
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	222	4	226

Merged error: 0.0b

Counts

226 → 4

Compiler

Compiled 4847 to 3905 computations (19.4% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

5.6b	(log.f64 (sqrt.f64 (-.f64 1 x)))
6.3b	(log.f64 (+.f64 1 x))
6.3b	(log.f64 (+.f64 1 x))
6.3b	(log.f64 (+.f64 1 x))

rewrite26.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`log-prod_binary64_505`
18×	`*-un-lft-identity_binary64_419`
12×	`add-sqr-sqrt_binary64_441`
9×	`add-cube-cbrt_binary64_454` `pow1_binary64_480`
8×	`add-exp-log_binary64_457` `log-div_binary64_506`
6×	`log-pow_binary64_508` `sqrt-prod_binary64_435`
4×	`add-log-exp_binary64_458` `rem-log-exp_binary64_460` `add-cbrt-cube_binary64_455`
3×	`flip3-+_binary64_422` `distribute-lft-out_binary64_370` `flip-+_binary64_393`
2×	`sqrt-div_binary64_436` `difference-of-squares_binary64_388`
1×	`pow1/2_binary64_499` `flip3--_binary64_423` `distribute-lft-out--_binary64_371` `sqrt-pow1_binary64_437` `flip--_binary64_394`

Counts

4 → 67

Calls

4 calls:

5.0ms	(log.f64 (sqrt.f64 (-.f64 1 x)))
4.0ms	(log.f64 (+.f64 1 x))
4.0ms	(log.f64 (+.f64 1 x))
4.0ms	(log.f64 (+.f64 1 x))

series108.0ms (1.3%)

Counts

4 → 12

Calls

4 calls:

40.0ms	(log.f64 (sqrt.f64 (-.f64 1 x)))
24.0ms	(log.f64 (+.f64 1 x))
23.0ms	(log.f64 (+.f64 1 x))
22.0ms	(log.f64 (+.f64 1 x))

simplify57.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5034	1051

prune135.0ms (1.7%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	78	1	79
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	78	5	83

Merged error: 0.0b

Counts

83 → 5

Compiler

Compiled 2434 to 1994 computations (18.1% saved)

regimes73.0ms (0.9%)

Compiler: Compiled 710 to 602 computations (15.2% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	53	13
1	53	13

end0.0ms (0%)

sample4.7s (57.8%)

Algorithm

1×

intervals

Results

2.7s	3898×	body	1024	valid
661.0ms	2065×	body	512	valid
381.0ms	412×	body	2048	valid
162.0ms	1018×	body	256	valid
154.0ms	8000×	pre	128	true
45.0ms	607×	body	128	valid

Compiler

Compiled 386 to 326 computations (15.5% saved)

Details

analyze1.4s (16.7%)

sample145.0ms (1.8%)

simplify176.0ms (2.2%)

prune2.0ms (0%)

localize7.0ms (0.1%)

rewrite24.0ms (0.3%)

series179.0ms (2.2%)

simplify55.0ms (0.7%)

prune97.0ms (1.2%)

localize6.0ms (0.1%)

rewrite16.0ms (0.2%)

series64.0ms (0.8%)

simplify54.0ms (0.7%)

prune32.0ms (0.4%)

localize9.0ms (0.1%)

rewrite59.0ms (0.7%)

series335.0ms (4.1%)

simplify83.0ms (1%)

prune327.0ms (4%)

localize13.0ms (0.2%)

rewrite26.0ms (0.3%)

series108.0ms (1.3%)

simplify57.0ms (0.7%)

prune135.0ms (1.7%)

regimes73.0ms (0.9%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample4.7s (57.8%)

Profiling