Details

analyze1.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 13 to 12 computations (7.7% saved)

sample1.8s (55.6%)

Results

791.0ms	2066×	body	1024	valid
422.0ms	4435×	body	128	valid
274.0ms	1051×	body	512	valid
99.0ms	201×	body	2048	valid
90.0ms	503×	body	256	valid

Compiler

Compiled 38 to 35 computations (7.9% saved)

simplify64.0ms (2%)

Algorithm

1×	egg-herbie

Rules

978×	`times-frac_binary64`
434×	`unswap-sqr_binary64`
378×	`associate-*l/_binary64`
368×	`fma-neg_binary64`
358×	`fma-def_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	15
1	19	15
2	25	15
3	34	15
4	59	15
5	113	15
6	235	15
7	600	15
8	1504	15
9	2557	15
10	4582	15
11	4956	15
12	4701	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

Error

30.7b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	30.7b	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)

Compiler

Compiled 36 to 33 computations (8.3% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
✓	0.0b	(+.f64 1 (exp.f64 (*.f64 -2 x)))
✓	3.0b	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)

series18.0ms (0.5%)

Counts

3 → 20

Calls

3 calls:

9.0ms	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
7.0ms	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
1.0ms	(+.f64 1 (exp.f64 (*.f64 -2 x)))

rewrite28.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

102×	`*-un-lft-identity_binary64`
75×	`add-sqr-sqrt_binary64`
64×	`add-cube-cbrt_binary64`
63×	`times-frac_binary64`
54×	`prod-diff_binary64`

Counts

3 → 149

Calls

3 calls:

11.0ms	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
4.0ms	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
2.0ms	(+.f64 1 (exp.f64 (*.f64 -2 x)))

simplify122.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

745×	`fma-neg_binary64`
409×	`cancel-sign-sub-inv_binary64`
312×	`distribute-rgt-in_binary64`
288×	`fma-def_binary64`
267×	`distribute-lft-in_binary64`

Counts

169 → 220

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	151	3241
1	339	3128
2	809	2722
3	2297	2604
4	4742	2603
5	4949	2603

prune160.0ms (5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	218	2	220
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	218	3	221

Error

Counts

221 → 3

Alt Table

Status	Error	Program
✓	30.7b	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
▶	29.9b	(-.f64 (fma.f64 2/15 (pow.f64 x 5) x) (fma.f64 1/3 (pow.f64 x 3) (*.f64 17/315 (pow.f64 x 7))))
	31.0b	(fma.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 (.f64 -2 x))))) (/.f64 2 (sqrt.f64 (+.f64 1 (exp.f64 (.f64 -2 x))))) -1)

Compiler

Compiled 5068 to 4614 computations (9% saved)

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 17/315 (pow.f64 x 7))
✓	0.1b	(fma.f64 1/3 (pow.f64 x 3) (*.f64 17/315 (pow.f64 x 7)))
✓	0.2b	(fma.f64 2/15 (pow.f64 x 5) x)
✓	19.1b	(-.f64 (fma.f64 2/15 (pow.f64 x 5) x) (fma.f64 1/3 (pow.f64 x 3) (*.f64 17/315 (pow.f64 x 7))))

series14.0ms (0.4%)

Counts

4 → 36

Calls

4 calls:

4.0ms	(fma.f64 1/3 (pow.f64 x 3) (*.f64 17/315 (pow.f64 x 7)))
3.0ms	(*.f64 17/315 (pow.f64 x 7))
3.0ms	(-.f64 (fma.f64 2/15 (pow.f64 x 5) x) (fma.f64 1/3 (pow.f64 x 3) (*.f64 17/315 (pow.f64 x 7))))
3.0ms	(fma.f64 2/15 (pow.f64 x 5) x)

rewrite12.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`add-sqr-sqrt_binary64`
17×	`*-un-lft-identity_binary64`
15×	`add-cube-cbrt_binary64`
9×	`add-exp-log_binary64`
9×	`prod-diff_binary64`

Counts

4 → 79

Calls

4 calls:

4.0ms	(-.f64 (fma.f64 2/15 (pow.f64 x 5) x) (fma.f64 1/3 (pow.f64 x 3) (*.f64 17/315 (pow.f64 x 7))))
4.0ms	(*.f64 17/315 (pow.f64 x 7))
0.0ms	(fma.f64 2/15 (pow.f64 x 5) x)
0.0ms	(fma.f64 1/3 (pow.f64 x 3) (*.f64 17/315 (pow.f64 x 7)))

simplify97.0ms (3%)

Algorithm

1×	egg-herbie

Rules

874×	`fma-neg_binary64`
633×	`times-frac_binary64`
600×	`associate-r_binary64`
389×	`fma-def_binary64`
339×	`distribute-lft-in_binary64`

Counts

115 → 122

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	142	2229
1	264	2018
2	793	1831
3	3426	1774
4	4427	1759
5	5637	1759

prune101.0ms (3.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	122	0	122
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	122	3	125

Error

Counts

125 → 3

Alt Table

Status	Error	Program
✓	30.7b	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
✓	29.9b	(-.f64 (fma.f64 2/15 (pow.f64 x 5) x) (fma.f64 1/3 (pow.f64 x 3) (*.f64 17/315 (pow.f64 x 7))))
▶	31.0b	(fma.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 (.f64 -2 x))))) (/.f64 2 (sqrt.f64 (+.f64 1 (exp.f64 (.f64 -2 x))))) -1)

Compiler

Compiled 3510 to 2792 computations (20.5% saved)

localize8.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(+.f64 1 (exp.f64 (*.f64 -2 x)))
✓	0.5b	(/.f64 2 (sqrt.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))
✓	0.5b	(/.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))
✓	31.2b	(fma.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 (.f64 -2 x))))) (/.f64 2 (sqrt.f64 (+.f64 1 (exp.f64 (.f64 -2 x))))) -1)

series46.0ms (1.4%)

Counts

3 → 36

Calls

3 calls:

25.0ms

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

12.0ms

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

9.0ms

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

rewrite16.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

51×	`*-un-lft-identity_binary64`
42×	`times-frac_binary64`
35×	`add-sqr-sqrt_binary64`
35×	`add-cube-cbrt_binary64`
32×	`sqrt-prod_binary64`

Counts

3 → 110

Calls

3 calls:

5.0ms

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

5.0ms

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

0.0ms

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

simplify116.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

629×	`fma-neg_binary64`
344×	`distribute-rgt-in_binary64`
302×	`distribute-lft-in_binary64`
182×	`fma-def_binary64`
157×	`distribute-rgt-neg-in_binary64`

Counts

146 → 178

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	174	3251
1	357	2824
2	859	2811
3	2529	2514
4	4966	2514
5	4975	2514

prune190.0ms (5.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	244	0	244
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	244	3	247

Error

Counts

247 → 3

Alt Table

Status	Error	Program
✓	30.7b	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
✓	29.9b	(-.f64 (fma.f64 2/15 (pow.f64 x 5) x) (fma.f64 1/3 (pow.f64 x 3) (*.f64 17/315 (pow.f64 x 7))))
✓	31.0b	(fma.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 (.f64 -2 x))))) (/.f64 2 (sqrt.f64 (+.f64 1 (exp.f64 (.f64 -2 x))))) -1)

Compiler

Compiled 6657 to 5934 computations (10.9% saved)

regimes309.0ms (9.6%)

Accuracy

Total 0.3b remaining (98.1%)

Threshold costs 0.3b (98.1%)

Counts

23 → 3

Compiler

Compiled 3715 to 3285 computations (11.6% saved)

bsearch1.0ms (0%)

Compiler: Compiled 5 to 4 computations (20% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`
1×	`*-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	98
1	37	98
2	36	98

end102.0ms (3.2%)

Compiler: Compiled 189 to 162 computations (14.3% saved)

Details

analyze1.0ms (0%)

sample1.8s (55.6%)

simplify64.0ms (2%)

prune2.0ms (0.1%)

localize6.0ms (0.2%)

series18.0ms (0.5%)

rewrite28.0ms (0.9%)

simplify122.0ms (3.8%)

prune160.0ms (5%)

localize10.0ms (0.3%)

series14.0ms (0.4%)

rewrite12.0ms (0.4%)

simplify97.0ms (3%)

prune101.0ms (3.2%)

localize8.0ms (0.3%)

series46.0ms (1.4%)

rewrite16.0ms (0.5%)

simplify116.0ms (3.6%)

prune190.0ms (5.9%)

regimes309.0ms (9.6%)

bsearch1.0ms (0%)

simplify3.0ms (0.1%)

end102.0ms (3.2%)

Profiling