Details

analyze353.0ms (4.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	0%	100%	0
0%	0%	100%	1
0%	0%	100%	2
0%	0%	100%	3
0%	0%	100%	4
0%	0%	100%	5
0%	0%	100%	6
0%	0%	100%	7
0%	0%	100%	8
0%	0%	100%	9
0%	0%	100%	10
0%	0%	100%	11
0%	0%	100%	12
0%	0%	100%	13
0%	0%	100%	14

Compiler

Compiled 43 to 31 computations (27.9% saved)

sample1.5s (18.1%)

Results

1.2s	7952×	body	128	valid
123.0ms	872×	body	128	invalid
82.0ms	304×	body	256	valid

Compiler

Compiled 106 to 76 computations (28.3% saved)

simplify261.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

1743×	`fma-neg_binary64`
1393×	`fma-def_binary64`
800×	`div-sub_binary64`
619×	`times-frac_binary64`
473×	`associate-/r/_binary64`

Counts

1 → 2

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	26
1	33	22
2	67	22
3	138	22
4	204	22
5	338	22
6	558	22
7	924	22
8	1388	22
9	1604	22
10	2375	22
11	2742	22
12	2533	22
13	2621	22
14	3171	22
15	3313	22
16	3873	22
17	3679	22
18	4029	22
19	4317	22
20	4485	22
21	4561	22
22	4805	22
23	4793	22
24	4797	22
25	4797	22
26	4948	22

prune4.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

29.3b

Counts

3 → 2

Alt Table

Status	Error	Program
	29.3b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))
▶	29.3b	(.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b) (/.f64 1/2 a))

Compiler

Compiled 111 to 74 computations (33.3% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))
✓	0.2b	(fma.f64 a (.f64 c -4) (.f64 b b))
✓	0.4b	(.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b) (/.f64 1/2 a))
✓	29.1b	(-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b)

series180.0ms (2.2%)

Counts

4 → 96

Calls

4 calls:

79.0ms	(.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b) (/.f64 1/2 a))
50.0ms	(-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b)
40.0ms	(sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))
10.0ms	(fma.f64 a (.f64 c -4) (.f64 b b))

rewrite22.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

42×	`add-sqr-sqrt_binary64`
32×	`*-un-lft-identity_binary64`
28×	`add-cube-cbrt_binary64`
18×	`prod-diff_binary64`
17×	`sqrt-prod_binary64`

Counts

4 → 109

Calls

4 calls:

8.0ms	(.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b) (/.f64 1/2 a))
5.0ms	(-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b)
1.0ms	(sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))
0.0ms	(fma.f64 a (.f64 c -4) (.f64 b b))

simplify185.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

527×	`fma-neg_binary64`
338×	`distribute-rgt-in_binary64`
273×	`cancel-sign-sub-inv_binary64`
155×	`associate-l_binary64`
153×	`associate-r_binary64`

Counts

205 → 226

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	267	5424
1	673	4468
2	2524	4293
3	4550	4293
4	4991	4293
5	4994	4293
6	4884	4293

prune160.0ms (2%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	216	10	226
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	218	10	228

Error

0.1b

Counts

228 → 10

Alt Table

Status	Error	Program
	29.3b	(.f64 (.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b) (/.f64 (sqrt.f64 1/2) (sqrt.f64 a))) (/.f64 (sqrt.f64 1/2) (sqrt.f64 a)))
	5.8b	(neg.f64 (fma.f64 2 (/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5)) (fma.f64 5 (/.f64 (.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7)) (+.f64 (/.f64 c b) (/.f64 (.f64 c (*.f64 c a)) (pow.f64 b 3))))))
	29.3b	(.f64 (.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b) (/.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 1/2)) (sqrt.f64 a))) (/.f64 (cbrt.f64 1/2) (sqrt.f64 a)))
	29.8b	(.f64 (+.f64 (fma.f64 1 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) (neg.f64 (.f64 (sqrt.f64 b) (sqrt.f64 b)))) (fma.f64 (neg.f64 (sqrt.f64 b)) (sqrt.f64 b) (*.f64 (sqrt.f64 b) (sqrt.f64 b)))) (/.f64 1/2 a))
	22.2b	(neg.f64 (/.f64 c b))
▶	0.5b	(/.f64 (.f64 (+.f64 (.f64 c (.f64 a -4)) 0) (/.f64 1/2 a)) (+.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b))
	29.3b	(.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 a (.f64 c -4)) (.f64 b b))) b) (/.f64 1/2 a))
	6.0b	(.f64 (neg.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 10 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7))) (.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))) (/.f64 1/2 a))
	30.8b	(.f64 (+.f64 (fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) (neg.f64 (.f64 (cbrt.f64 b) (.f64 (cbrt.f64 b) (cbrt.f64 b))))) (fma.f64 (neg.f64 (cbrt.f64 b)) (.f64 (cbrt.f64 b) (cbrt.f64 b)) (.f64 (cbrt.f64 b) (.f64 (cbrt.f64 b) (cbrt.f64 b))))) (/.f64 1/2 a))
	29.6b	(.f64 (fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b)))) (neg.f64 b)) (/.f64 1/2 a))

Compiler

Compiled 6537 to 3812 computations (41.7% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (.f64 (+.f64 (.f64 c (.f64 a -4)) 0) (/.f64 1/2 a)) (+.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b))
	0.2b	(fma.f64 a (.f64 c -4) (.f64 b b))
✓	0.3b	(+.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b)
✓	0.3b	(.f64 (+.f64 (.f64 c (*.f64 a -4)) 0) (/.f64 1/2 a))

series592.0ms (7.2%)

Counts

3 → 64

Calls

3 calls:

540.0ms

(/.f64 (*.f64 (+.f64 (*.f64 c (*.f64 a -4)) 0) (/.f64 1/2 a)) (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) b))

48.0ms

(+.f64 (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) b)

3.0ms

(*.f64 (+.f64 (*.f64 c (*.f64 a -4)) 0) (/.f64 1/2 a))

rewrite30.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`*-un-lft-identity_binary64`
20×	`add-sqr-sqrt_binary64`
17×	`add-cbrt-cube_binary64`
17×	`add-exp-log_binary64`
15×	`add-cube-cbrt_binary64`

Counts

3 → 92

Calls

3 calls:

12.0ms

(/.f64 (*.f64 (+.f64 (*.f64 c (*.f64 a -4)) 0) (/.f64 1/2 a)) (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) b))

8.0ms

(*.f64 (+.f64 (*.f64 c (*.f64 a -4)) 0) (/.f64 1/2 a))

3.0ms

(+.f64 (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) b)

simplify147.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

616×	`fma-neg_binary64`
248×	`associate-l_binary64`
225×	`associate-/l*_binary64`
220×	`associate-r_binary64`
176×	`div-sub_binary64`

Counts

156 → 196

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	250	3787
1	708	3244
2	3132	3157
3	4613	3157
4	4932	3157

prune231.0ms (2.8%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	206	9	215
Fresh	8	1	9
Picked	1	0	1
Done	0	0	0
Total	215	10	225

Error

0.0b

Counts

225 → 10

Alt Table

Status	Error	Program
▶	0.5b	(.f64 (/.f64 (+.f64 (.f64 c (.f64 a -4)) 0) 1) (/.f64 (/.f64 1/2 a) (+.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b)))
	5.8b	(neg.f64 (fma.f64 2 (/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5)) (fma.f64 5 (/.f64 (.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7)) (+.f64 (/.f64 c b) (/.f64 (.f64 c (*.f64 c a)) (pow.f64 b 3))))))
	0.7b	(cbrt.f64 (/.f64 (.f64 (.f64 (.f64 (+.f64 (.f64 c (.f64 a -4)) 0) (+.f64 (.f64 c (.f64 a -4)) 0)) (+.f64 (.f64 c (.f64 a -4)) 0)) (/.f64 (.f64 (.f64 1/2 1/2) 1/2) (.f64 (.f64 a a) a))) (.f64 (.f64 (+.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b) (+.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b)) (+.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b))))
	0.6b	(/.f64 (.f64 (+.f64 (.f64 c (.f64 a -4)) 0) (/.f64 1/2 a)) (fma.f64 (sqrt.f64 (.f64 (cbrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) (cbrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))))) (sqrt.f64 (cbrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) b))
	0.6b	(/.f64 (/.f64 (.f64 (/.f64 1/2 a) (.f64 (pow.f64 (.f64 c a) 3) -64)) (+.f64 (.f64 (.f64 c (.f64 a -4)) (.f64 c (.f64 a -4))) (-.f64 (.f64 0 0) (.f64 (.f64 c (.f64 a -4)) 0)))) (+.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b))
	1.3b	(/.f64 (.f64 (.f64 (cbrt.f64 (+.f64 (.f64 c (.f64 a -4)) 0)) (cbrt.f64 (+.f64 (.f64 c (.f64 a -4)) 0))) (.f64 (/.f64 1/2 a) (cbrt.f64 (.f64 c (.f64 a -4))))) (+.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b))
	0.6b	(/.f64 (.f64 (+.f64 (pow.f64 (.f64 c (.f64 a -4)) 3) (pow.f64 0 3)) 1/2) (.f64 (+.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b) (.f64 (+.f64 (.f64 (.f64 c (.f64 a -4)) (.f64 c (.f64 a -4))) (-.f64 (.f64 0 0) (.f64 (.f64 c (.f64 a -4)) 0))) a)))
	1.6b	(/.f64 (.f64 (+.f64 (.f64 c (.f64 a -4)) 0) (/.f64 1/2 a)) (exp.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b))))
	0.8b	(/.f64 (.f64 (.f64 c (.f64 (.f64 a -4) (sqrt.f64 1/2))) (/.f64 (sqrt.f64 1/2) a)) (+.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b))
	0.7b	(/.f64 (cbrt.f64 (pow.f64 (/.f64 (.f64 (.f64 c a) -2) a) 3)) (+.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b))

Compiler

Compiled 7644 to 4844 computations (36.6% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(fma.f64 a (.f64 c -4) (.f64 b b))
	0.3b	(+.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b)
✓	0.4b	(/.f64 (/.f64 1/2 a) (+.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b))
✓	0.4b	(.f64 (/.f64 (+.f64 (.f64 c (.f64 a -4)) 0) 1) (/.f64 (/.f64 1/2 a) (+.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b)))

series526.0ms (6.4%)

Counts

2 → 40

Calls

2 calls:

282.0ms

(*.f64 (/.f64 (+.f64 (*.f64 c (*.f64 a -4)) 0) 1) (/.f64 (/.f64 1/2 a) (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) b)))

244.0ms

(/.f64 (/.f64 1/2 a) (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) b))

rewrite69.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

209×	`times-frac_binary64`
157×	`*-un-lft-identity_binary64`
130×	`add-sqr-sqrt_binary64`
100×	`add-cube-cbrt_binary64`
58×	`associate-r_binary64`

Counts

2 → 197

Calls

2 calls:

27.0ms

(*.f64 (/.f64 (+.f64 (*.f64 c (*.f64 a -4)) 0) 1) (/.f64 (/.f64 1/2 a) (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) b)))

8.0ms

(/.f64 (/.f64 1/2 a) (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) b))

simplify245.0ms (3%)

Algorithm

1×	egg-herbie

Rules

345×	`associate-l_binary64`
326×	`associate-r_binary64`
299×	`associate-/l*_binary64`
280×	`associate-*l/_binary64`
257×	`*-commutative_binary64`

Counts

237 → 345

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	367	9096
1	987	8324
2	4149	8076
3	4601	8076
4	4977	8076
5	4830	8076

prune487.0ms (5.9%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	411	3	414
Fresh	2	7	9
Picked	1	0	1
Done	0	0	0
Total	414	10	424

Error

Counts

424 → 10

Alt Table

Status	Error	Program
	0.8b	(.f64 (/.f64 (+.f64 (.f64 c (.f64 a -4)) 0) 1) (/.f64 (/.f64 (sqrt.f64 1/2) 1) (/.f64 (+.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b) (/.f64 (sqrt.f64 1/2) a))))
	1.3b	(/.f64 (.f64 (.f64 (cbrt.f64 (+.f64 (.f64 c (.f64 a -4)) 0)) (cbrt.f64 (+.f64 (.f64 c (.f64 a -4)) 0))) (.f64 (/.f64 1/2 a) (cbrt.f64 (.f64 c (.f64 a -4))))) (+.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b))
	0.7b	(cbrt.f64 (/.f64 (.f64 (.f64 (.f64 (+.f64 (.f64 c (.f64 a -4)) 0) (+.f64 (.f64 c (.f64 a -4)) 0)) (+.f64 (.f64 c (.f64 a -4)) 0)) (/.f64 (.f64 (.f64 1/2 1/2) 1/2) (.f64 (.f64 a a) a))) (.f64 (.f64 (+.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b) (+.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b)) (+.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b))))
	0.6b	(/.f64 (.f64 (+.f64 (.f64 c (.f64 a -4)) 0) (/.f64 1/2 a)) (fma.f64 (sqrt.f64 (.f64 (cbrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) (cbrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))))) (sqrt.f64 (cbrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) b))
	0.6b	(/.f64 (/.f64 (.f64 (/.f64 1/2 a) (.f64 (pow.f64 (.f64 c a) 3) -64)) (+.f64 (.f64 (.f64 c (.f64 a -4)) (.f64 c (.f64 a -4))) (-.f64 (.f64 0 0) (.f64 (.f64 c (.f64 a -4)) 0)))) (+.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b))
	1.6b	(.f64 (/.f64 (+.f64 (.f64 c (.f64 a -4)) 0) 1) (/.f64 (/.f64 1/2 a) (exp.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b)))))
	1.6b	(/.f64 (.f64 (+.f64 (.f64 c (.f64 a -4)) 0) (/.f64 1/2 a)) (exp.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b))))
	5.8b	(neg.f64 (fma.f64 2 (/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5)) (fma.f64 5 (/.f64 (.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7)) (+.f64 (/.f64 c b) (/.f64 (.f64 c (*.f64 c a)) (pow.f64 b 3))))))
▶	0.5b	(.f64 (/.f64 (+.f64 (.f64 c (.f64 a -4)) 0) 1) (/.f64 1/2 (.f64 (+.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b) a)))
	0.7b	(/.f64 (cbrt.f64 (pow.f64 (/.f64 (.f64 (.f64 c a) -2) a) 3)) (+.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b))

Compiler

Compiled 16848 to 11019 computations (34.6% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(fma.f64 a (.f64 c -4) (.f64 b b))
	0.3b	(+.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b)
✓	0.3b	(/.f64 1/2 (.f64 (+.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b) a))
✓	0.4b	(.f64 (/.f64 (+.f64 (.f64 c (.f64 a -4)) 0) 1) (/.f64 1/2 (.f64 (+.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b) a)))

series563.0ms (6.9%)

Counts

2 → 40

Calls

2 calls:

314.0ms

(*.f64 (/.f64 (+.f64 (*.f64 c (*.f64 a -4)) 0) 1) (/.f64 1/2 (*.f64 (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) b) a)))

248.0ms

(/.f64 1/2 (*.f64 (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) b) a))

rewrite30.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

37×	`add-exp-log_binary64`
28×	`add-cbrt-cube_binary64`
20×	`add-sqr-sqrt_binary64`
17×	`times-frac_binary64`
14×	`*-un-lft-identity_binary64`

Counts

2 → 79

Calls

2 calls:

15.0ms

(*.f64 (/.f64 (+.f64 (*.f64 c (*.f64 a -4)) 0) 1) (/.f64 1/2 (*.f64 (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) b) a)))

6.0ms

(/.f64 1/2 (*.f64 (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) b) a))

simplify137.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

823×	`fma-def_binary64`
371×	`distribute-rgt-in_binary64`
215×	`fma-neg_binary64`
204×	`associate-l_binary64`
174×	`associate-r_binary64`

Counts

119 → 175

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	236	4356
1	640	3620
2	2525	3472
3	4645	3469
4	4994	3469
5	4883	3469

prune255.0ms (3.1%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	241	3	244
Fresh	3	6	9
Picked	0	1	1
Done	0	0	0
Total	244	10	254

Error

Counts

254 → 10

Alt Table

Status	Error	Program
	0.8b	(.f64 (/.f64 (+.f64 (.f64 c (.f64 a -4)) 0) 1) (/.f64 (/.f64 (sqrt.f64 1/2) 1) (/.f64 (+.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b) (/.f64 (sqrt.f64 1/2) a))))
	1.3b	(/.f64 (.f64 (.f64 (cbrt.f64 (+.f64 (.f64 c (.f64 a -4)) 0)) (cbrt.f64 (+.f64 (.f64 c (.f64 a -4)) 0))) (.f64 (/.f64 1/2 a) (cbrt.f64 (.f64 c (.f64 a -4))))) (+.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b))
	0.5b	(.f64 (/.f64 (+.f64 (.f64 c (.f64 a -4)) 0) 1) (/.f64 1/2 (.f64 (fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) b) a)))
	0.7b	(/.f64 (cbrt.f64 (pow.f64 (/.f64 (.f64 (.f64 c a) -2) a) 3)) (+.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b))
	5.8b	(-.f64 (.f64 (/.f64 (.f64 (pow.f64 c 3) (.f64 a a)) (pow.f64 b 5)) -2) (fma.f64 5 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7)) (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b))))
	0.6b	(/.f64 (/.f64 (.f64 (/.f64 1/2 a) (.f64 (pow.f64 (.f64 c a) 3) -64)) (+.f64 (.f64 (.f64 c (.f64 a -4)) (.f64 c (.f64 a -4))) (-.f64 (.f64 0 0) (.f64 (.f64 c (.f64 a -4)) 0)))) (+.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b))
	0.9b	(.f64 (.f64 (/.f64 (+.f64 (.f64 c (.f64 a -4)) 0) 1) (/.f64 (sqrt.f64 1/2) (+.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b))) (/.f64 (sqrt.f64 1/2) a))
	1.6b	(.f64 (/.f64 (+.f64 (.f64 c (.f64 a -4)) 0) 1) (/.f64 (/.f64 1/2 a) (exp.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b)))))
✓	0.5b	(.f64 (/.f64 (+.f64 (.f64 c (.f64 a -4)) 0) 1) (/.f64 1/2 (.f64 (+.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b) a)))
	0.7b	(cbrt.f64 (/.f64 (.f64 (.f64 (.f64 (+.f64 (.f64 c (.f64 a -4)) 0) (+.f64 (.f64 c (.f64 a -4)) 0)) (+.f64 (.f64 c (.f64 a -4)) 0)) (/.f64 (.f64 (.f64 1/2 1/2) 1/2) (.f64 (.f64 a a) a))) (.f64 (.f64 (+.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b) (+.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b)) (+.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b))))

Compiler

Compiled 8744 to 5783 computations (33.9% saved)

regimes2.0s (24%)

Accuracy

Total 0.3b remaining (90.7%)

Threshold costs 0.3b (90.7%)

Counts

361 → 1

Compiler

Compiled 49272 to 33846 computations (31.3% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`
1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	22
1	16	22
2	16	22

end218.0ms (2.7%)

Compiler: Compiled 434 to 304 computations (30% saved)

Details

analyze353.0ms (4.3%)

sample1.5s (18.1%)

simplify261.0ms (3.2%)

prune4.0ms (0%)

localize9.0ms (0.1%)

series180.0ms (2.2%)

rewrite22.0ms (0.3%)

simplify185.0ms (2.3%)

prune160.0ms (2%)

localize14.0ms (0.2%)

series592.0ms (7.2%)

rewrite30.0ms (0.4%)

simplify147.0ms (1.8%)

prune231.0ms (2.8%)

localize15.0ms (0.2%)

series526.0ms (6.4%)

rewrite69.0ms (0.8%)

simplify245.0ms (3%)

prune487.0ms (5.9%)

localize14.0ms (0.2%)

series563.0ms (6.9%)

rewrite30.0ms (0.4%)

simplify137.0ms (1.7%)

prune255.0ms (3.1%)

regimes2.0s (24%)

simplify2.0ms (0%)

end218.0ms (2.7%)

Profiling