Details

analyze6.0ms (0.2%)

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 15 to 11 computations (26.7% saved)

sample1.2s (36.4%)

Results

962.0ms	8256×	body	128	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 44 to 32 computations (27.3% saved)

simplify200.0ms (6.2%)

Algorithm

1×	egg-herbie

Rules

1115×	`distribute-rgt-neg-in_binary64`
788×	`distribute-rgt-out--_binary64`
692×	`unsub-neg_binary64`
492×	`fma-neg_binary64`
461×	`distribute-neg-in_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	20
1	18	20
2	24	20
3	34	20
4	50	20
5	73	20
6	113	20
7	247	20
8	452	20
9	742	20
10	1560	20
11	2338	20
12	2392	20
13	2628	20
14	2776	20
15	2774	20
16	2851	20
17	3110	20
18	3673	20
19	4665	20
20	4910	20
21	4952	20
22	4963	20
23	4960	20
24	6208	20

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

0.3b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	0.3b	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))

Compiler

Compiled 42 to 30 computations (28.6% saved)

localize8.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
✓	0.0b	(sqrt.f64 (-.f64 1 (*.f64 x x)))
✓	0.2b	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))

series19.0ms (0.6%)

Counts

3 → 36

Calls

3 calls:

9.0ms	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
5.0ms	(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
4.0ms	(sqrt.f64 (-.f64 1 (*.f64 x x)))

rewrite44.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

51×	`*-un-lft-identity_binary64`
35×	`times-frac_binary64`
28×	`add-sqr-sqrt_binary64`
20×	`add-cube-cbrt_binary64`
16×	`distribute-lft-out_binary64`

Counts

3 → 87

Calls

3 calls:

18.0ms	(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
17.0ms	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
3.0ms	(sqrt.f64 (-.f64 1 (*.f64 x x)))

simplify91.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

625×	`fma-def_binary64`
404×	`associate-/r*_binary64`
400×	`associate-l_binary64`
384×	`fma-neg_binary64`
292×	`cancel-sign-sub-inv_binary64`

Counts

123 → 173

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	210	2461
1	535	2286
2	1497	2256
3	4417	2221
4	4906	2221

prune115.0ms (3.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	172	1	173
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	172	2	174

Error

Counts

174 → 2

Alt Table

Status	Error	Program
▶	0.2b	(+.f64 (neg.f64 (log.f64 (sqrt.f64 x))) (log.f64 (+.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 x)))))
✓	0.3b	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))

Status

Error

Program

▶

0.2b

(+.f64 (neg.f64 (log.f64 (sqrt.f64 x))) (log.f64 (+.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 x)))))

✓

0.3b

(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))

Compiler

Compiled 3579 to 2493 computations (30.3% saved)

localize14.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sqrt.f64 (-.f64 1 (*.f64 x x)))
✓	0.2b	(+.f64 (neg.f64 (log.f64 (sqrt.f64 x))) (log.f64 (+.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 x)))))
✓	0.2b	(/.f64 1 (sqrt.f64 x))
✓	0.2b	(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 x))

series53.0ms (1.6%)

Counts

3 → 1

Calls

3 calls:

31.0ms

(+.f64 (neg.f64 (log.f64 (sqrt.f64 x))) (log.f64 (+.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 x)))))

14.0ms

(/.f64 1 (sqrt.f64 x))

7.0ms

(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 x))

rewrite78.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Rules

110×	`*-un-lft-identity_binary64`
102×	`sqrt-prod_binary64`
100×	`times-frac_binary64`
89×	`add-sqr-sqrt_binary64`
64×	`add-cube-cbrt_binary64`

Counts

3 → 199

Calls

3 calls:

50.0ms

(+.f64 (neg.f64 (log.f64 (sqrt.f64 x))) (log.f64 (+.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 x)))))

6.0ms

(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 x))

3.0ms

(/.f64 1 (sqrt.f64 x))

simplify207.0ms (6.4%)

Algorithm

1×	egg-herbie

Rules

1139×	`fma-neg_binary64`
398×	`div-exp_binary64`
343×	`distribute-rgt-in_binary64`
336×	`fma-def_binary64`
256×	`cancel-sign-sub-inv_binary64`

Counts

200 → 218

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	197	4091
1	398	3831
2	1035	3794
3	2508	3718
4	4094	3585
5	4692	3585
6	4900	3585
7	4866	3585

prune188.0ms (5.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	264	0	264
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	264	2	266

Error

Counts

266 → 2

Alt Table

Status	Error	Program
✓	0.2b	(+.f64 (neg.f64 (log.f64 (sqrt.f64 x))) (log.f64 (+.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 x)))))
✓	0.3b	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))

Status

Error

Program

✓

0.2b

(+.f64 (neg.f64 (log.f64 (sqrt.f64 x))) (log.f64 (+.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 x)))))

✓

0.3b

(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))

Compiler

Compiled 7575 to 3847 computations (49.2% saved)

regimes89.0ms (2.8%)

Accuracy

Total 0.2b remaining (99.4%)

Threshold costs 0.2b (99.4%)

Counts

27 → 1

Compiler

Compiled 1395 to 1004 computations (28% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

6×	`+-commutative_binary64`
4×	`sub-neg_binary64`
3×	`*-commutative_binary64`
3×	`neg-sub0_binary64`
3×	`neg-mul-1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	33
1	26	31
2	34	31
3	39	31
4	41	31
5	40	31

end946.0ms (29.1%)

Compiler: Compiled 75 to 50 computations (33.3% saved)

Details

analyze6.0ms (0.2%)

sample1.2s (36.4%)

simplify200.0ms (6.2%)

prune2.0ms (0.1%)

localize8.0ms (0.3%)

series19.0ms (0.6%)

rewrite44.0ms (1.4%)

simplify91.0ms (2.8%)

prune115.0ms (3.5%)

localize14.0ms (0.4%)

series53.0ms (1.6%)

rewrite78.0ms (2.4%)

simplify207.0ms (6.4%)

prune188.0ms (5.8%)

regimes89.0ms (2.8%)

simplify3.0ms (0.1%)

end946.0ms (29.1%)

Profiling