Details

analyze5.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	50%	50%	3
12.5%	25%	62.5%	4
18.7%	12.5%	68.8%	5
21.9%	6.2%	71.9%	6
23.4%	3.1%	73.5%	7
24.2%	1.6%	74.2%	8
24.6%	0.8%	74.6%	9
24.8%	0.4%	74.8%	10
24.9%	0.2%	74.9%	11
24.9%	0.1%	75%	12
25%	0%	75%	13
25%	0%	75%	14

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample934.0ms (22.8%)

Results

841.0ms	8256×	body	128	valid
0.0ms	6×	body	128	invalid

Compiler

Compiled 26 to 23 computations (11.5% saved)

simplify56.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

4×	`sub-neg_binary64`
3×	`+-commutative_binary64`
2×	`fma-def_binary64`
1×	`*-commutative_binary64`
1×	`associate-+l-_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	14	11
2	17	11
3	19	11
4	23	11
5	24	11
6	29	11
7	22	11

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

Error

0.0b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	0.0b	(neg.f64 (log.f64 (-.f64 (/.f64 1 x) 1)))

Compiler

Compiled 24 to 21 computations (12.5% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (/.f64 1 x) 1)
✓	0.0b	(log.f64 (-.f64 (/.f64 1 x) 1))

series4.0ms (0.1%)

Counts

2 → 15

Calls

2 calls:

3.0ms	(log.f64 (-.f64 (/.f64 1 x) 1))
1.0ms	(-.f64 (/.f64 1 x) 1)

rewrite22.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

75×	`add-sqr-sqrt_binary64`
63×	`*-un-lft-identity_binary64`
48×	`times-frac_binary64`
45×	`add-cube-cbrt_binary64`
39×	`prod-diff_binary64`

Counts

2 → 110

Calls

2 calls:

8.0ms	(log.f64 (-.f64 (/.f64 1 x) 1))
7.0ms	(-.f64 (/.f64 1 x) 1)

simplify139.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

855×	`fma-neg_binary64`
430×	`times-frac_binary64`
322×	`cancel-sign-sub-inv_binary64`
267×	`distribute-rgt-in_binary64`
228×	`associate-*l/_binary64`

Counts

125 → 153

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	104	1425
1	197	1351
2	471	1333
3	1400	1269
4	4255	1265
5	4984	1265
6	4949	1265

prune163.0ms (4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	151	2	153
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	151	3	154

Error

0.0b

Counts

154 → 3

Alt Table

Status	Error	Program
✓	0.0b	(neg.f64 (log.f64 (-.f64 (/.f64 1 x) 1)))
▶	0.0b	(neg.f64 (+.f64 (log.f64 (+.f64 (sqrt.f64 (/.f64 1 x)) 1)) (log.f64 (-.f64 (sqrt.f64 (/.f64 1 x)) 1))))
	0.3b	(neg.f64 (+.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 -1 (/.f64 1 x))))) (log.f64 (cbrt.f64 (+.f64 -1 (/.f64 1 x))))))

Compiler

Compiled 2800 to 2378 computations (15.1% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(log.f64 (+.f64 (sqrt.f64 (/.f64 1 x)) 1))
✓	0.0b	(log.f64 (-.f64 (sqrt.f64 (/.f64 1 x)) 1))
✓	0.0b	(+.f64 (log.f64 (+.f64 (sqrt.f64 (/.f64 1 x)) 1)) (log.f64 (-.f64 (sqrt.f64 (/.f64 1 x)) 1)))
✓	0.1b	(sqrt.f64 (/.f64 1 x))

series71.0ms (1.7%)

Counts

4 → 4

Calls

4 calls:

29.0ms	(+.f64 (log.f64 (+.f64 (sqrt.f64 (/.f64 1 x)) 1)) (log.f64 (-.f64 (sqrt.f64 (/.f64 1 x)) 1)))
24.0ms	(log.f64 (+.f64 (sqrt.f64 (/.f64 1 x)) 1))
12.0ms	(log.f64 (-.f64 (sqrt.f64 (/.f64 1 x)) 1))
5.0ms	(sqrt.f64 (/.f64 1 x))

rewrite45.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

66×	`add-sqr-sqrt_binary64`
48×	`log-prod_binary64`
47×	`*-un-lft-identity_binary64`
39×	`sqrt-prod_binary64`
23×	`times-frac_binary64`

Counts

4 → 129

Calls

4 calls:

17.0ms	(+.f64 (log.f64 (+.f64 (sqrt.f64 (/.f64 1 x)) 1)) (log.f64 (-.f64 (sqrt.f64 (/.f64 1 x)) 1)))
8.0ms	(log.f64 (-.f64 (sqrt.f64 (/.f64 1 x)) 1))
8.0ms	(log.f64 (+.f64 (sqrt.f64 (/.f64 1 x)) 1))
2.0ms	(sqrt.f64 (/.f64 1 x))

simplify164.0ms (4%)

Algorithm

1×	egg-herbie

Rules

642×	`unsub-neg_binary64`
613×	`fma-neg_binary64`
445×	`fma-def_binary64`
297×	`distribute-rgt-in_binary64`
269×	`sub-neg_binary64`

Counts

133 → 161

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	129	2403
1	215	1859
2	441	1850
3	824	1848
4	1552	1848
5	2536	1848
6	4036	1848
7	4901	1848
8	4869	1848

prune235.0ms (5.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	193	0	193
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	193	3	196

Error

0.0b

Counts

196 → 3

Alt Table

Status	Error	Program
✓	0.0b	(neg.f64 (log.f64 (-.f64 (/.f64 1 x) 1)))
✓	0.0b	(neg.f64 (+.f64 (log.f64 (+.f64 (sqrt.f64 (/.f64 1 x)) 1)) (log.f64 (-.f64 (sqrt.f64 (/.f64 1 x)) 1))))
▶	0.3b	(neg.f64 (+.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 -1 (/.f64 1 x))))) (log.f64 (cbrt.f64 (+.f64 -1 (/.f64 1 x))))))

Compiler

Compiled 4531 to 3921 computations (13.5% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 -1 (/.f64 1 x))
✓	0.0b	(log.f64 (cbrt.f64 (+.f64 -1 (/.f64 1 x))))
✓	0.3b	(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 -1 (/.f64 1 x))))) (log.f64 (cbrt.f64 (+.f64 -1 (/.f64 1 x)))))
✓	0.5b	(cbrt.f64 (+.f64 -1 (/.f64 1 x)))

series114.0ms (2.8%)

Counts

4 → 48

Calls

4 calls:

92.0ms	(cbrt.f64 (+.f64 -1 (/.f64 1 x)))
11.0ms	(log.f64 (cbrt.f64 (+.f64 -1 (/.f64 1 x))))
10.0ms	(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 -1 (/.f64 1 x))))) (log.f64 (cbrt.f64 (+.f64 -1 (/.f64 1 x)))))
1.0ms	(+.f64 -1 (/.f64 1 x))

rewrite36.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

33×	`*-un-lft-identity_binary64`
32×	`log-prod_binary64`
25×	`cbrt-prod_binary64`
16×	`associate-+l+_binary64`
14×	`add-sqr-sqrt_binary64`

Counts

4 → 100

Calls

4 calls:

15.0ms	(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 -1 (/.f64 1 x))))) (log.f64 (cbrt.f64 (+.f64 -1 (/.f64 1 x)))))
5.0ms	(log.f64 (cbrt.f64 (+.f64 -1 (/.f64 1 x))))
5.0ms	(+.f64 -1 (/.f64 1 x))
4.0ms	(cbrt.f64 (+.f64 -1 (/.f64 1 x)))

simplify95.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

714×	`fma-def_binary64`
574×	`fma-neg_binary64`
459×	`associate-l_binary64`
452×	`associate-r_binary64`
295×	`cancel-sign-sub-inv_binary64`

Counts

148 → 214

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	208	2541
1	536	2321
2	1484	2080
3	4559	2072
4	4894	2072

prune319.0ms (7.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	341	1	342
Fresh	0	0	0
Picked	1	0	1
Done	1	1	2
Total	343	2	345

Error

Counts

345 → 2

Alt Table

Status	Error	Program
✓	0.0b	(neg.f64 (log.f64 (-.f64 (/.f64 1 x) 1)))
▶	42.1b	(neg.f64 (+.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 -1 (/.f64 1 x))))) (log.f64 (/.f64 (cbrt.f64 (+.f64 -1 (/.f64 1 (pow.f64 x 3)))) (cbrt.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 1 x) 1) x)))))))

Status

Error

Program

✓

0.0b

(neg.f64 (log.f64 (-.f64 (/.f64 1 x) 1)))

▶

42.1b

(neg.f64 (+.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 -1 (/.f64 1 x))))) (log.f64 (/.f64 (cbrt.f64 (+.f64 -1 (/.f64 1 (pow.f64 x 3)))) (cbrt.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 1 x) 1) x)))))))

Compiler

Compiled 8472 to 7459 computations (12% saved)

localize22.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(/.f64 (cbrt.f64 (+.f64 -1 (/.f64 1 (pow.f64 x 3)))) (cbrt.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 1 x) 1) x))))
	0.5b	(cbrt.f64 (+.f64 -1 (/.f64 1 x)))
✓	29.3b	(cbrt.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 1 x) 1) x)))
✓	39.7b	(cbrt.f64 (+.f64 -1 (/.f64 1 (pow.f64 x 3))))

series28.0ms (0.7%)

Counts

3 → 36

Calls

3 calls:

12.0ms

(/.f64 (cbrt.f64 (+.f64 -1 (/.f64 1 (pow.f64 x 3)))) (cbrt.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 1 x) 1) x))))

12.0ms

(cbrt.f64 (+.f64 -1 (/.f64 1 (pow.f64 x 3))))

4.0ms

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

rewrite62.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

86×	`*-un-lft-identity_binary64`
85×	`cbrt-prod_binary64`
56×	`times-frac_binary64`
39×	`add-sqr-sqrt_binary64`
39×	`add-cube-cbrt_binary64`

Counts

3 → 122

Calls

3 calls:

27.0ms

(/.f64 (cbrt.f64 (+.f64 -1 (/.f64 1 (pow.f64 x 3)))) (cbrt.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 1 x) 1) x))))

9.0ms

(cbrt.f64 (+.f64 -1 (/.f64 1 (pow.f64 x 3))))

9.0ms

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

simplify163.0ms (4%)

Algorithm

1×	egg-herbie

Rules

475×	`fma-def_binary64`
427×	`fma-neg_binary64`
402×	`times-frac_binary64`
326×	`cancel-sign-sub-inv_binary64`
305×	`associate-l_binary64`

Counts

158 → 209

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	236	5864
1	582	5655
2	1423	5583
3	4531	5575
4	4995	5575

prune274.0ms (6.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	255	0	255
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	255	2	257

Error

Counts

257 → 2

Alt Table

Status	Error	Program
✓	0.0b	(neg.f64 (log.f64 (-.f64 (/.f64 1 x) 1)))
✓	42.1b	(neg.f64 (+.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 -1 (/.f64 1 x))))) (log.f64 (/.f64 (cbrt.f64 (+.f64 -1 (/.f64 1 (pow.f64 x 3)))) (cbrt.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 1 x) 1) x)))))))

Status

Error

Program

✓

0.0b

(neg.f64 (log.f64 (-.f64 (/.f64 1 x) 1)))

✓

42.1b

(neg.f64 (+.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 -1 (/.f64 1 x))))) (log.f64 (/.f64 (cbrt.f64 (+.f64 -1 (/.f64 1 (pow.f64 x 3)))) (cbrt.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 1 x) 1) x)))))))

Compiler

Compiled 11222 to 9762 computations (13% saved)

regimes1.1s (25.8%)

Accuracy

Total 0.0b remaining (13.3%)

Threshold costs 0.0b (13.3%)

Counts

135 → 1

Compiler

Compiled 15424 to 13759 computations (10.8% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary64`
2×	`sub-neg_binary64`
1×	`*-commutative_binary64`
1×	`neg-sub0_binary64`
1×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	14	11
2	17	11
3	18	11
4	16	11

end58.0ms (1.4%)

Compiler: Compiled 56 to 49 computations (12.5% saved)

Details

analyze5.0ms (0.1%)

sample934.0ms (22.8%)

simplify56.0ms (1.4%)

prune2.0ms (0%)

localize5.0ms (0.1%)

series4.0ms (0.1%)

rewrite22.0ms (0.5%)

simplify139.0ms (3.4%)

prune163.0ms (4%)

localize11.0ms (0.3%)

series71.0ms (1.7%)

rewrite45.0ms (1.1%)

simplify164.0ms (4%)

prune235.0ms (5.7%)

localize9.0ms (0.2%)

series114.0ms (2.8%)

rewrite36.0ms (0.9%)

simplify95.0ms (2.3%)

prune319.0ms (7.8%)

localize22.0ms (0.5%)

series28.0ms (0.7%)

rewrite62.0ms (1.5%)

simplify163.0ms (4%)

prune274.0ms (6.7%)

regimes1.1s (25.8%)

simplify2.0ms (0.1%)

end58.0ms (1.4%)

Profiling