Details

analyze431.0ms (7%)

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
25%	74.9%	0.1%	4
25%	74.9%	0.1%	5
37.4%	62.4%	0.1%	6
43.7%	56.2%	0.1%	7
43.7%	56.2%	0.1%	8
53%	40.6%	6.4%	9
57.7%	32.8%	9.5%	10
57.7%	32.8%	9.5%	11
63.2%	22.6%	14.2%	12
65.9%	17.6%	16.5%	13
65.9%	17.6%	16.5%	14

Compiler

Compiled 17 to 11 computations (35.3% saved)

sample2.6s (41.9%)

Results

1.0s	6082×	body	128	valid
705.0ms	993×	body	1024	valid
408.0ms	716×	body	512	valid
139.0ms	1004×	body	128	invalid
136.0ms	463×	body	256	valid
3.0ms	2×	body	2048	valid

Compiler

Compiled 50 to 32 computations (36% saved)

simplify88.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

851×	`fma-def_binary64`
522×	`unswap-sqr_binary64`
335×	`fma-neg_binary64`
256×	`associate-l_binary64`
216×	`associate-r_binary64`

Counts

1 → 2

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	20
1	19	16
2	28	16
3	56	16
4	119	16
5	280	16
6	672	16
7	2284	16
8	4398	16
9	4953	16

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	1	2
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	2	1	3

Error

11.0b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	11.0b	(+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))

Compiler

Compiled 55 to 31 computations (43.6% saved)

localize11.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))
✓	0.0b	(/.f64 y (+.f64 y z))
✓	6.0b	(pow.f64 (/.f64 y (+.f64 y z)) y)

series269.0ms (4.4%)

Counts

3 → 84

Calls

3 calls:

187.0ms	(+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))
64.0ms	(pow.f64 (/.f64 y (+.f64 y z)) y)
17.0ms	(/.f64 y (+.f64 y z))

rewrite67.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

38×	`*-un-lft-identity_binary64`
24×	`times-frac_binary64`
22×	`add-sqr-sqrt_binary64`
22×	`add-cube-cbrt_binary64`
18×	`unpow-prod-down_binary64`

Counts

3 → 87

Calls

3 calls:

33.0ms	(+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))
18.0ms	(pow.f64 (/.f64 y (+.f64 y z)) y)
4.0ms	(/.f64 y (+.f64 y z))

simplify212.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

310×	`fma-def_binary64`
259×	`times-frac_binary64`
255×	`associate-+r+_binary64`
246×	`associate-r_binary64`
205×	`associate-+l+_binary64`

Counts

171 → 225

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	432	5061
1	1307	4883
2	5052	4883

prune383.0ms (6.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	222	3	225
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	222	4	226

Error

0.0b

Counts

226 → 4

Alt Table

Status	Error	Program
	33.3b	(-.f64 (+.f64 (/.f64 1 y) (fma.f64 1/2 (.f64 (/.f64 z y) (/.f64 z y)) (fma.f64 1/2 (/.f64 (.f64 z z) y) x))) (+.f64 (/.f64 z y) (fma.f64 1/3 (/.f64 (pow.f64 z 3) (pow.f64 y 3)) (fma.f64 1/2 (/.f64 (pow.f64 z 3) (.f64 y y)) (.f64 1/6 (/.f64 (pow.f64 z 3) y))))))
▶	10.5b	(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
	10.7b	(+.f64 x (/.f64 1 y))
✓	11.0b	(+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))

Compiler

Compiled 6647 to 2931 computations (55.9% saved)

localize11.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
✓	0.0b	(/.f64 (exp.f64 (neg.f64 z)) y)

series68.0ms (1.1%)

Counts

2 → 44

Calls

2 calls:

48.0ms	(/.f64 (exp.f64 (neg.f64 z)) y)
19.0ms	(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))

rewrite19.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`*-un-lft-identity_binary64`
11×	`add-sqr-sqrt_binary64`
11×	`add-cube-cbrt_binary64`
9×	`times-frac_binary64`
4×	`add-cbrt-cube_binary64`

Counts

2 → 48

Calls

2 calls:

9.0ms	(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
5.0ms	(/.f64 (exp.f64 (neg.f64 z)) y)

simplify178.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

559×	`associate-/l*_binary64`
517×	`fma-neg_binary64`
466×	`fma-def_binary64`
340×	`associate-/l/_binary64`
311×	`associate-*l/_binary64`

Counts

92 → 81

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	105	1172
1	240	1134
2	585	1126
3	1543	1124
4	4396	1117
5	4890	1117
6	4978	1117

prune100.0ms (1.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	80	1	81
Fresh	1	1	2
Picked	1	0	1
Done	0	1	1
Total	82	3	85

Error

0.0b

Counts

85 → 3

Alt Table

Status	Error	Program
▶	10.5b	(+.f64 x (/.f64 1 (*.f64 y (exp.f64 z))))
	10.7b	(+.f64 x (/.f64 1 y))
✓	11.0b	(+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))

Compiler

Compiled 1167 to 399 computations (65.8% saved)

localize12.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 x (/.f64 1 (*.f64 y (exp.f64 z))))
✓	0.0b	(/.f64 1 (*.f64 y (exp.f64 z)))
✓	0.0b	(*.f64 y (exp.f64 z))

series127.0ms (2.1%)

Counts

3 → 38

Calls

3 calls:

82.0ms	(+.f64 x (/.f64 1 (*.f64 y (exp.f64 z))))
30.0ms	(/.f64 1 (*.f64 y (exp.f64 z)))
15.0ms	(*.f64 y (exp.f64 z))

rewrite27.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`add-exp-log_binary64`
11×	`*-un-lft-identity_binary64`
10×	`add-sqr-sqrt_binary64`
10×	`add-cbrt-cube_binary64`
8×	`add-cube-cbrt_binary64`

Counts

3 → 68

Calls

3 calls:

9.0ms	(*.f64 y (exp.f64 z))
8.0ms	(/.f64 1 (*.f64 y (exp.f64 z)))
6.0ms	(+.f64 x (/.f64 1 (*.f64 y (exp.f64 z))))

simplify196.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

375×	`cancel-sign-sub-inv_binary64`
338×	`associate-/r/_binary64`
306×	`sub-neg_binary64`
287×	`fma-def_binary64`
281×	`div-sub_binary64`

Counts

106 → 112

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	116	1198
1	288	1085
2	823	1078
3	2339	1068
4	4125	1068
5	4773	1067
6	4975	1067

prune132.0ms (2.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	112	0	112
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	112	3	115

Error

0.0b

Counts

115 → 3

Alt Table

Status	Error	Program
✓	10.5b	(+.f64 x (/.f64 1 (*.f64 y (exp.f64 z))))
▶	10.7b	(+.f64 x (/.f64 1 y))
✓	11.0b	(+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))

Compiler

Compiled 1509 to 688 computations (54.4% saved)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 x (/.f64 1 y))

series10.0ms (0.2%)

Counts

1 → 24

Calls

1 calls:

10.0ms

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

rewrite11.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

5×	`*-un-lft-identity_binary64`
3×	`add-log-exp_binary64`
3×	`fma-def_binary64`
2×	`distribute-lft-out_binary64`
2×	`add-sqr-sqrt_binary64`

Counts

1 → 18

Calls

1 calls:

10.0ms

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

simplify147.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

572×	`unswap-sqr_binary64`
448×	`fma-neg_binary64`
321×	`fma-def_binary64`
284×	`distribute-rgt-in_binary64`
282×	`associate-+l+_binary64`

Counts

42 → 28

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	30	322
1	88	302
2	189	299
3	419	299
4	1068	299
5	2246	299
6	3475	299
7	4871	299
8	4894	299
9	4906	299

prune39.0ms (0.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	28	0	28
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	28	3	31

Error

0.0b

Counts

31 → 3

Alt Table

Status	Error	Program
✓	10.5b	(+.f64 x (/.f64 1 (*.f64 y (exp.f64 z))))
✓	10.7b	(+.f64 x (/.f64 1 y))
✓	11.0b	(+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))

Compiler

Compiled 325 to 218 computations (32.9% saved)

regimes671.0ms (10.9%)

Accuracy

Total 0.2b remaining (95%)

Threshold costs 0.2b (95%)

Counts

21 → 3

Compiler

Compiled 1822 to 1267 computations (30.5% saved)

bsearch168.0ms (2.7%)

Steps

Iters	Range		Point
9	1.1746591021511893e-10	0.0005248708089025461	0.0005143489626409994
11	-225352764378512.06	-2.9087103106532912e-12	-1.295847362417144

Compiler

Compiled 4 to 3 computations (25% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary64`
1×	`*-commutative_binary64`
1×	`1-exp_binary64`
1×	`if-if-or-not_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	33
1	26	33
2	25	33

end185.0ms (3%)

Compiler: Compiled 83 to 58 computations (30.1% saved)

Details

analyze431.0ms (7%)

sample2.6s (41.9%)

simplify88.0ms (1.4%)

prune3.0ms (0.1%)

localize11.0ms (0.2%)

series269.0ms (4.4%)

rewrite67.0ms (1.1%)

simplify212.0ms (3.4%)

prune383.0ms (6.2%)

localize11.0ms (0.2%)

series68.0ms (1.1%)

rewrite19.0ms (0.3%)

simplify178.0ms (2.9%)

prune100.0ms (1.6%)

localize12.0ms (0.2%)

series127.0ms (2.1%)

rewrite27.0ms (0.4%)

simplify196.0ms (3.2%)

prune132.0ms (2.1%)

localize7.0ms (0.1%)

series10.0ms (0.2%)

rewrite11.0ms (0.2%)

simplify147.0ms (2.4%)

prune39.0ms (0.6%)

regimes671.0ms (10.9%)

bsearch168.0ms (2.7%)

simplify8.0ms (0.1%)

end185.0ms (3%)

Profiling