Details

analyze374.0ms (7.5%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
26.5%	73.3%	0.1%	8
33.5%	66.3%	0.1%	9
49.1%	50.7%	0.1%	10
56.9%	42.9%	0.1%	11
60.8%	39%	0.1%	12
69%	30.9%	0.1%	13
72.5%	27.3%	0.1%	14

Compiler

Compiled 13 to 10 computations (23.1% saved)

sample32.0ms (0.6%)

Algorithm

1×

intervals

Results

12.0ms	100×	body	1024	valid
5.0ms	37×	body	2048	valid
3.0ms	37×	body	512	valid
2.0ms	60×	body	128	valid
1.0ms	22×	body	256	valid

Compiler

Compiled 25 to 22 computations (12% saved)

simplify121.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	504	17
1	504	17

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 48.2b

Counts

2 → 1

Compiler

Compiled 24 to 18 computations (25% saved)

localize11.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (*.f64 x y) z)
11.1b	(-.f64 (fma.f64 x y z) (+.f64 1 (+.f64 (*.f64 x y) z)))

rewrite16.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-log-exp_binary64_1481`
10×	`*-un-lft-identity_binary64_1442`
5×	`add-sqr-sqrt_binary64_1464`
4×	`cancel-sign-sub-inv_binary64_1408` `sum-log_binary64_1533`
3×	`diff-log_binary64_1534` `add-cube-cbrt_binary64_1477`
2×	`add-cbrt-cube_binary64_1478` `add-exp-log_binary64_1480` `distribute-lft-out_binary64_1393` `pow1_binary64_1503` `distribute-lft-out--_binary64_1394`
1×	`sub-neg_binary64_1435` `flip3--_binary64_1446` `+-commutative_binary64_1372` `flip--_binary64_1417` `flip3-+_binary64_1445` `flip-+_binary64_1416` `associate--r+_binary64_1378` `difference-of-squares_binary64_1411`

Counts

2 → 32

Calls

2 calls:

9.0ms	(-.f64 (fma.f64 x y z) (+.f64 1 (+.f64 (*.f64 x y) z)))
4.0ms	(+.f64 (*.f64 x y) z)

series208.0ms (4.2%)

Counts

2 → 36

Calls

2 calls:

129.0ms	(-.f64 (fma.f64 x y z) (+.f64 1 (+.f64 (*.f64 x y) z)))
79.0ms	(+.f64 (*.f64 x y) z)

Compiler

Compiled 610 to 492 computations (19.3% saved)

simplify66.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5154	939

prune74.0ms (1.5%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	54	14	68
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	55	14	69

Merged error: 13.4b

Counts

69 → 14

Compiler

Compiled 1122 to 461 computations (58.9% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.1b	(fma.f64 (/.f64 -1 x) y z)
1.7b	(-.f64 (+.f64 (/.f64 y x) (fma.f64 (/.f64 -1 x) y z)) (+.f64 z 1))
14.3b	(+.f64 (/.f64 y x) (fma.f64 (/.f64 -1 x) y z))

rewrite25.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`*-un-lft-identity_binary64_1442`
17×	`add-log-exp_binary64_1481`
6×	`distribute-lft-out_binary64_1393` `add-sqr-sqrt_binary64_1464`
5×	`sum-log_binary64_1533` `flip3-+_binary64_1445` `flip-+_binary64_1416`
4×	`cancel-sign-sub-inv_binary64_1408` `frac-sub_binary64_1451` `diff-log_binary64_1534` `add-cube-cbrt_binary64_1477` `distribute-lft-out--_binary64_1394`
3×	`add-cbrt-cube_binary64_1478` `add-exp-log_binary64_1480` `pow1_binary64_1503`
1×	`associate--l+_binary64_1379` `sub-neg_binary64_1435` `flip3--_binary64_1446` `+-commutative_binary64_1372` `flip--_binary64_1417` `associate--r+_binary64_1378` `difference-of-squares_binary64_1411`

Counts

3 → 48

Calls

3 calls:

13.0ms	(-.f64 (+.f64 (/.f64 y x) (fma.f64 (/.f64 -1 x) y z)) (+.f64 z 1))
7.0ms	(+.f64 (/.f64 y x) (fma.f64 (/.f64 -1 x) y z))
1.0ms	(fma.f64 (/.f64 -1 x) y z)

series267.0ms (5.3%)

Counts

3 → 42

Calls

3 calls:

133.0ms	(-.f64 (+.f64 (/.f64 y x) (fma.f64 (/.f64 -1 x) y z)) (+.f64 z 1))
104.0ms	(+.f64 (/.f64 y x) (fma.f64 (/.f64 -1 x) y z))
30.0ms	(fma.f64 (/.f64 -1 x) y z)

Compiler

Compiled 928 to 765 computations (17.6% saved)

simplify63.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5010	1843

prune101.0ms (2%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	84	6	90
Fresh	10	3	13
Picked	1	0	1
Done	0	0	0
Total	95	9	104

Merged error: 3.0b

Counts

104 → 9

Compiler

Compiled 1813 to 988 computations (45.5% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.1b	(fma.f64 (/.f64 -1 x) y z)
0.5b	(-.f64 (+.f64 (/.f64 y x) (fma.f64 (/.f64 -1 x) y z)) z)
14.3b	(+.f64 (/.f64 y x) (fma.f64 (/.f64 -1 x) y z))

rewrite20.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`*-un-lft-identity_binary64_1442`
10×	`add-log-exp_binary64_1481`
6×	`add-sqr-sqrt_binary64_1464`
4×	`add-cube-cbrt_binary64_1477`
3×	`add-cbrt-cube_binary64_1478` `cancel-sign-sub-inv_binary64_1408` `add-exp-log_binary64_1480` `pow1_binary64_1503`
2×	`sum-log_binary64_1533` `distribute-lft-out_binary64_1393` `diff-log_binary64_1534` `distribute-lft-out--_binary64_1394`
1×	`associate--l+_binary64_1379` `sub-neg_binary64_1435` `flip3--_binary64_1446` `+-commutative_binary64_1372` `flip--_binary64_1417` `flip3-+_binary64_1445` `flip-+_binary64_1416` `difference-of-squares_binary64_1411`

Counts

3 → 38

Calls

3 calls:

10.0ms	(-.f64 (+.f64 (/.f64 y x) (fma.f64 (/.f64 -1 x) y z)) z)
7.0ms	(+.f64 (/.f64 y x) (fma.f64 (/.f64 -1 x) y z))
1.0ms	(fma.f64 (/.f64 -1 x) y z)

series245.0ms (4.9%)

Counts

3 → 42

Calls

3 calls:

117.0ms	(-.f64 (+.f64 (/.f64 y x) (fma.f64 (/.f64 -1 x) y z)) z)
97.0ms	(+.f64 (/.f64 y x) (fma.f64 (/.f64 -1 x) y z))
31.0ms	(fma.f64 (/.f64 -1 x) y z)

Compiler

Compiled 938 to 775 computations (17.4% saved)

simplify108.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (92.0ms)

Iter	Nodes	Cost
0	4941	1251
1	4941	1251

prune70.0ms (1.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	78	2	80
Fresh	8	0	8
Picked	0	1	1
Done	0	0	0
Total	86	3	89

Merged error: 0b

Counts

89 → 3

Compiler

Compiled 1367 to 728 computations (46.7% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(fma.f64 (/.f64 -1 x) (/.f64 1 y) z)
0.5b	(/.f64 1 (*.f64 y x))
1.2b	(-.f64 (+.f64 (/.f64 1 (*.f64 y x)) (fma.f64 (/.f64 -1 x) (/.f64 1 y) z)) z)
18.5b	(+.f64 (/.f64 1 (*.f64 y x)) (fma.f64 (/.f64 -1 x) (/.f64 1 y) z))

rewrite28.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`*-un-lft-identity_binary64_1442`
15×	`add-exp-log_binary64_1480`
11×	`add-log-exp_binary64_1481`
9×	`add-cbrt-cube_binary64_1478` `add-sqr-sqrt_binary64_1464`
7×	`pow1_binary64_1503` `add-cube-cbrt_binary64_1477`
4×	`distribute-lft-out_binary64_1393` `div-exp_binary64_1493`
3×	`cancel-sign-sub-inv_binary64_1408` `times-frac_binary64_1448` `div-inv_binary64_1439` `associate-/l*_binary64_1387` `prod-exp_binary64_1491` `distribute-lft-out--_binary64_1394`
2×	`cbrt-undiv_binary64_1476` `sum-log_binary64_1533` `1-exp_binary64_1486` `rec-exp_binary64_1492` `pow-flip_binary64_1516` `diff-log_binary64_1534`
1×	`associate--l+_binary64_1379` `inv-pow_binary64_1527` `associate-/r*_binary64_1386` `cbrt-unprod_binary64_1475` `sub-neg_binary64_1435` `clear-num_binary64_1441` `flip3--_binary64_1446` `+-commutative_binary64_1372` `pow-prod-down_binary64_1513` `flip--_binary64_1417` `frac-2neg_binary64_1453` `flip3-+_binary64_1445` `flip-+_binary64_1416` `difference-of-squares_binary64_1411`

Counts

4 → 68

Calls

4 calls:

11.0ms	(-.f64 (+.f64 (/.f64 1 (*.f64 y x)) (fma.f64 (/.f64 -1 x) (/.f64 1 y) z)) z)
7.0ms	(+.f64 (/.f64 1 (*.f64 y x)) (fma.f64 (/.f64 -1 x) (/.f64 1 y) z))
5.0ms	(/.f64 1 (*.f64 y x))
1.0ms	(fma.f64 (/.f64 -1 x) (/.f64 1 y) z)

series366.0ms (7.3%)

Counts

4 → 48

Calls

4 calls:

151.0ms	(-.f64 (+.f64 (/.f64 1 (*.f64 y x)) (fma.f64 (/.f64 -1 x) (/.f64 1 y) z)) z)
124.0ms	(+.f64 (/.f64 1 (*.f64 y x)) (fma.f64 (/.f64 -1 x) (/.f64 1 y) z))
56.0ms	(/.f64 1 (*.f64 y x))
35.0ms	(fma.f64 (/.f64 -1 x) (/.f64 1 y) z)

Compiler

Compiled 1302 to 1100 computations (15.5% saved)

simplify97.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	4924	1886
1	4924	1886

prune115.0ms (2.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	115	1	116
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	116	3	119

Merged error: 0b

Counts

119 → 3

Compiler

Compiled 2355 to 1454 computations (38.3% saved)

regimes680.0ms (13.6%)

Compiler: Compiled 3702 to 2672 computations (27.8% saved)

bsearch53.0ms (1.1%)

Steps

Iters	Range		Point
8	2.8162378525976333e-39	2.857516545025284e-36	2.8281805749579194e-36
8	-4.98072010916891e+138	-1.3309333380251716e+135	-1.3477441338726809e+135

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	47	60
1	47	60

end0.0ms (0%)

sample1.8s (36.7%)

Algorithm

1×

intervals

Results

330.0ms	2696×	body	1024	valid
181.0ms	1213×	body	2048	valid
115.0ms	1205×	body	512	valid
78.0ms	2262×	body	128	valid
41.0ms	623×	body	256	valid
0.0ms	1×	body	4096	valid

Compiler

Compiled 973 to 706 computations (27.4% saved)

Details

analyze374.0ms (7.5%)

sample32.0ms (0.6%)

simplify121.0ms (2.4%)

prune3.0ms (0.1%)

localize11.0ms (0.2%)

rewrite16.0ms (0.3%)

series208.0ms (4.2%)

simplify66.0ms (1.3%)

prune74.0ms (1.5%)

localize9.0ms (0.2%)

rewrite25.0ms (0.5%)

series267.0ms (5.3%)

simplify63.0ms (1.3%)

prune101.0ms (2%)

localize9.0ms (0.2%)

rewrite20.0ms (0.4%)

series245.0ms (4.9%)

simplify108.0ms (2.1%)

prune70.0ms (1.4%)

localize11.0ms (0.2%)

rewrite28.0ms (0.6%)

series366.0ms (7.3%)

simplify97.0ms (1.9%)

prune115.0ms (2.3%)

regimes680.0ms (13.6%)

bsearch53.0ms (1.1%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.8s (36.7%)

Profiling