Details

analyze419.0ms (5.4%)

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 33 to 24 computations (27.3% saved)

sample41.0ms (0.5%)

Algorithm

1×

intervals

Results

16.0ms	254×	body	128	valid
9.0ms	278×	pre	128	true
1.0ms	22×	body	128	nan
0.0ms	2×	body	256	valid

Compiler

Compiled 56 to 41 computations (26.8% saved)

simplify272.0ms (3.5%)

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 → 1

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

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

29.8b

Counts

2 → 2

Alt Table

Status	Error	Program
▶	29.9b	(.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b) (/.f64 1/2 a))
	29.9b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))

Compiler

Compiled 94 to 64 computations (31.9% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))
0.3b	(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))
29.8b	(-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b)

rewrite224.0ms (2.9%)

Algorithm

1×	rewrite-expression-head

Error

27.0b

Rules

32×	`add-cube-cbrt_binary64`
24×	`add-sqr-sqrt_binary64`
23×	`pow1_binary64`
14×	`add-exp-log_binary64`
14×	`add-cbrt-cube_binary64`

Counts

4 → 162

Calls

4 calls:

16.0ms	(.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b) (/.f64 1/2 a))
15.0ms	(-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b)
11.0ms	(sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))
10.0ms	(fma.f64 a (.f64 c -4) (.f64 b b))

Compiler

Compiled 3930 to 2088 computations (46.9% saved)

series158.0ms (2%)

Error

0.9b

Counts

4 → 72

Calls

4 calls:

48.0ms	(.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b) (/.f64 1/2 a))
36.0ms	(-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b)
28.0ms	(fma.f64 a (.f64 c -4) (.f64 b b))
28.0ms	(sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))

Compiler

Compiled 2658 to 1932 computations (27.3% saved)

simplify119.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

878×	`times-frac_binary64`
332×	`fma-neg_binary64`
247×	`unswap-sqr_binary64`
163×	`associate-r_binary64`
160×	`associate-l_binary64`

Counts

234 → 120

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	246	4482
1	656	4168
2	2499	4099
3	5036	4099

prune67.0ms (0.9%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	111	9	120
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	113	9	122

Error

0.1b

Counts

122 → 9

Alt Table

Status	Error	Program
▶	0.5b	(.f64 (/.f64 (+.f64 (.f64 c (.f64 a -4)) 0) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))))) (/.f64 1/2 a))
	6.9b	(.f64 (-.f64 (.f64 -2 (+.f64 (/.f64 (.f64 c a) b) (/.f64 (.f64 (.f64 c a) (.f64 c a)) (pow.f64 b 3)))) (.f64 4 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5)))) (/.f64 1/2 a))
	5.2b	(.f64 (-.f64 (.f64 -2 (+.f64 (/.f64 (.f64 c a) b) (/.f64 (.f64 (.f64 c a) (.f64 c a)) (pow.f64 b 3)))) (fma.f64 4 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5)) (.f64 10 (/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7))))) (/.f64 1/2 a))
	29.0b	(.f64 (/.f64 1 (/.f64 (fma.f64 b (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) (fma.f64 a (.f64 c -4) (.f64 b b))) (-.f64 (pow.f64 (fma.f64 a (.f64 c -4) (*.f64 b b)) 3/2) (pow.f64 b 3)))) (/.f64 1/2 a))
	29.9b	(.f64 (cbrt.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b) 3)) (/.f64 1/2 a))
	29.0b	(/.f64 1 (.f64 (/.f64 (fma.f64 b (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) (fma.f64 a (.f64 c -4) (.f64 b b))) (-.f64 (pow.f64 (fma.f64 a (.f64 c -4) (*.f64 b b)) 3/2) (pow.f64 b 3))) (/.f64 a 1/2)))
	5.0b	(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))))))
	29.0b	(/.f64 (.f64 1/2 (-.f64 (pow.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) 3/2) (pow.f64 b 3))) (.f64 a (fma.f64 b (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) (fma.f64 a (.f64 c -4) (.f64 b b)))))
	21.8b	(neg.f64 (/.f64 c b))

Compiler

Compiled 2326 to 1337 computations (42.5% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite240.0ms (3.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

32×	`add-cube-cbrt_binary64`
23×	`pow1_binary64`
20×	`add-exp-log_binary64`
20×	`add-sqr-sqrt_binary64`
18×	`add-cbrt-cube_binary64`

Counts

4 → 170

Calls

4 calls:

19.0ms	(/.f64 (+.f64 (.f64 c (.f64 a -4)) 0) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))))
18.0ms	(.f64 (/.f64 (+.f64 (.f64 c (.f64 a -4)) 0) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))))) (/.f64 1/2 a))
14.0ms	(+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))))
10.0ms	(fma.f64 a (.f64 c -4) (.f64 b b))

Compiler

Compiled 5059 to 3135 computations (38% saved)

series189.0ms (2.4%)

Error

0.1b

Counts

4 → 72

Calls

4 calls:

58.0ms	(/.f64 (+.f64 (.f64 c (.f64 a -4)) 0) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))))
51.0ms	(.f64 (/.f64 (+.f64 (.f64 c (.f64 a -4)) 0) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))))) (/.f64 1/2 a))
33.0ms	(+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))))
31.0ms	(fma.f64 a (.f64 c -4) (.f64 b b))

Compiler

Compiled 3336 to 2402 computations (28% saved)

simplify142.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

664×	`fma-neg_binary64`
320×	`associate-l_binary64`
311×	`associate-r_binary64`
234×	`associate-/l*_binary64`
221×	`times-frac_binary64`

Counts

242 → 179

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	265	5614
1	727	5029
2	3877	4979
3	4956	4979

prune126.0ms (1.6%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	171	8	179
Fresh	7	1	8
Picked	1	0	1
Done	0	0	0
Total	179	9	188

Error

Counts

188 → 9

Alt Table

Status	Error	Program
	5.0b	(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))))))
▶	0.3b	(/.f64 (/.f64 (.f64 -2 (.f64 c a)) a) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))))
	1.4b	(.f64 (/.f64 (/.f64 c (/.f64 (cbrt.f64 (+.f64 b (sqrt.f64 (fma.f64 (.f64 c a) -4 (.f64 b b))))) (.f64 a -4))) (.f64 (cbrt.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))))) (cbrt.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))))))) (/.f64 1/2 a))
	0.5b	(.f64 (.f64 (/.f64 c a) (/.f64 (.f64 a -4) (+.f64 b (sqrt.f64 (fma.f64 (.f64 c a) -4 (*.f64 b b)))))) 1/2)
	0.7b	(.f64 (.f64 (/.f64 (.f64 c (.f64 a -4)) (+.f64 (pow.f64 b 3) (pow.f64 (fma.f64 (.f64 c a) -4 (.f64 b b)) 3/2))) (+.f64 (.f64 b b) (-.f64 (.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) (.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))))))) (/.f64 1/2 a))
	0.4b	(/.f64 (.f64 -2 (.f64 c a)) (.f64 a (+.f64 b (sqrt.f64 (fma.f64 (.f64 c a) -4 (*.f64 b b))))))
	0.8b	(.f64 (cbrt.f64 (pow.f64 (/.f64 c (/.f64 (+.f64 b (sqrt.f64 (fma.f64 (.f64 c a) -4 (.f64 b b)))) (.f64 a -4))) 3)) (/.f64 1/2 a))
	0.5b	(.f64 (/.f64 c (/.f64 (+.f64 b (sqrt.f64 (fma.f64 (.f64 c a) -4 (.f64 b b)))) (.f64 a -4))) (/.f64 1/2 a))
	0.6b	(.f64 (/.f64 (+.f64 (.f64 c (.f64 a -4)) 0) (/.f64 (+.f64 (pow.f64 b 3) (pow.f64 (fma.f64 (.f64 c a) -4 (.f64 b b)) 3/2)) (fma.f64 b b (-.f64 (fma.f64 (.f64 c a) -4 (.f64 b b)) (.f64 b (sqrt.f64 (fma.f64 (.f64 c a) -4 (.f64 b b)))))))) (/.f64 1/2 a))

Compiler

Compiled 3867 to 2181 computations (43.6% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(/.f64 (.f64 -2 (.f64 c a)) a)
0.2b	(+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))))
0.2b	(/.f64 (/.f64 (.f64 -2 (.f64 c a)) a) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))))
0.3b	(fma.f64 a (.f64 c -4) (.f64 b b))

rewrite211.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

38×	`add-cube-cbrt_binary64`
26×	`add-exp-log_binary64`
20×	`add-cbrt-cube_binary64`
16×	`pow1_binary64`
16×	`add-sqr-sqrt_binary64`

Counts

4 → 168

Calls

4 calls:

16.0ms	(/.f64 (/.f64 (.f64 -2 (.f64 c a)) a) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))))
15.0ms	(/.f64 (.f64 -2 (.f64 c a)) a)
13.0ms	(+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))))
11.0ms	(fma.f64 a (.f64 c -4) (.f64 b b))

Compiler

Compiled 4234 to 2186 computations (48.4% saved)

series183.0ms (2.3%)

Error

Counts

4 → 60

Calls

4 calls:

50.0ms	(/.f64 (/.f64 (.f64 -2 (.f64 c a)) a) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))))
31.0ms	(+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))))
28.0ms	(fma.f64 a (.f64 c -4) (.f64 b b))
8.0ms	(/.f64 (.f64 -2 (.f64 c a)) a)

Compiler

Compiled 2369 to 1590 computations (32.9% saved)

simplify145.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

738×	`fma-def_binary64`
420×	`fma-neg_binary64`
230×	`associate-r_binary64`
207×	`associate-l_binary64`
188×	`times-frac_binary64`

Counts

228 → 160

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	231	4279
1	627	3961
2	3000	3605
3	4960	3605
4	4941	3605

prune113.0ms (1.4%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	157	3	160
Fresh	4	4	8
Picked	1	0	1
Done	0	0	0
Total	162	7	169

Error

Counts

169 → 7

Alt Table

Status	Error	Program
	5.0b	(-.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))))
	1.4b	(.f64 (/.f64 (/.f64 c (/.f64 (cbrt.f64 (+.f64 b (sqrt.f64 (fma.f64 (.f64 c a) -4 (.f64 b b))))) (.f64 a -4))) (.f64 (cbrt.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))))) (cbrt.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))))))) (/.f64 1/2 a))
	0.5b	(.f64 (.f64 (/.f64 c a) (/.f64 (.f64 a -4) (+.f64 b (sqrt.f64 (fma.f64 (.f64 c a) -4 (*.f64 b b)))))) 1/2)
▶	0.4b	(/.f64 (.f64 -2 (.f64 c a)) (.f64 a (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 (*.f64 c a) -4))))))
	0.5b	(/.f64 (/.f64 (.f64 -2 (.f64 c a)) a) (/.f64 (+.f64 (pow.f64 b 3) (pow.f64 (fma.f64 b b (.f64 (.f64 c a) -4)) 3/2)) (fma.f64 b b (-.f64 (fma.f64 b b (.f64 (.f64 c a) -4)) (.f64 b (sqrt.f64 (fma.f64 b b (.f64 (*.f64 c a) -4))))))))
	0.8b	(.f64 (cbrt.f64 (pow.f64 (/.f64 c (/.f64 (+.f64 b (sqrt.f64 (fma.f64 (.f64 c a) -4 (.f64 b b)))) (.f64 a -4))) 3)) (/.f64 1/2 a))
	0.5b	(.f64 (/.f64 c (/.f64 (+.f64 b (sqrt.f64 (fma.f64 (.f64 c a) -4 (.f64 b b)))) (.f64 a -4))) (/.f64 1/2 a))

Compiler

Compiled 2968 to 1696 computations (42.9% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(sqrt.f64 (fma.f64 b b (.f64 (.f64 c a) -4)))
0.2b	(.f64 a (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 (*.f64 c a) -4)))))
0.2b	(+.f64 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 c a) -4))))
0.3b	(/.f64 (.f64 -2 (.f64 c a)) (.f64 a (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 (*.f64 c a) -4))))))

rewrite211.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

23×	`pow1_binary64`
23×	`add-cube-cbrt_binary64`
22×	`add-exp-log_binary64`
22×	`add-sqr-sqrt_binary64`
18×	`add-cbrt-cube_binary64`

Counts

4 → 173

Calls

4 calls:

18.0ms	(/.f64 (.f64 -2 (.f64 c a)) (.f64 a (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 (*.f64 c a) -4))))))
16.0ms	(.f64 a (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 (*.f64 c a) -4)))))
14.0ms	(+.f64 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 c a) -4))))
12.0ms	(sqrt.f64 (fma.f64 b b (.f64 (.f64 c a) -4)))

Compiler

Compiled 4362 to 2256 computations (48.3% saved)

series171.0ms (2.2%)

Error

Counts

4 → 73

Calls

4 calls:

48.0ms	(/.f64 (.f64 -2 (.f64 c a)) (.f64 a (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 (*.f64 c a) -4))))))
38.0ms	(.f64 a (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 (*.f64 c a) -4)))))
35.0ms	(+.f64 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 c a) -4))))
28.0ms	(sqrt.f64 (fma.f64 b b (.f64 (.f64 c a) -4)))

Compiler

Compiled 3177 to 2154 computations (32.2% saved)

simplify145.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

491×	`cancel-sign-sub-inv_binary64`
422×	`fma-neg_binary64`
250×	`associate-r_binary64`
242×	`associate-l_binary64`
221×	`times-frac_binary64`

Counts

246 → 176

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	255	5299
1	723	4918
2	3325	4786
3	5322	4786

prune126.0ms (1.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	174	2	176
Fresh	2	4	6
Picked	0	1	1
Done	0	0	0
Total	176	7	183

Error

Counts

183 → 7

Alt Table

Status	Error	Program
	0.5b	(.f64 (/.f64 c (/.f64 (+.f64 b (sqrt.f64 (fma.f64 (.f64 c a) -4 (.f64 b b)))) (.f64 a -4))) (/.f64 1/2 a))
	0.4b	(/.f64 -2 (.f64 (/.f64 1 c) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -4)))))))
	5.0b	(-.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))))
	0.5b	(.f64 (.f64 (/.f64 c a) (/.f64 (.f64 a -4) (+.f64 b (sqrt.f64 (fma.f64 (.f64 c a) -4 (*.f64 b b)))))) 1/2)
	0.4b	(/.f64 (.f64 -2 (.f64 c a)) (.f64 a (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 (*.f64 c a) -4))))))
	0.5b	(/.f64 (/.f64 (.f64 -2 (.f64 c a)) a) (/.f64 (+.f64 (pow.f64 b 3) (pow.f64 (fma.f64 b b (.f64 (.f64 c a) -4)) 3/2)) (fma.f64 b b (-.f64 (fma.f64 b b (.f64 (.f64 c a) -4)) (.f64 b (sqrt.f64 (fma.f64 b b (.f64 (*.f64 c a) -4))))))))
	0.6b	(/.f64 (.f64 -2 (.f64 c a)) (.f64 a (+.f64 b (.f64 (cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))) (cbrt.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))))))))

Compiler

Compiled 3207 to 1839 computations (42.7% saved)

regimes3.1s (39.4%)

Accuracy

Total 0.3b remaining (91.3%)

Threshold costs 0.3b (91.3%)

Compiler

Compiled 65156 to 41678 computations (36% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	27
1	26	25
2	39	25
3	46	25
4	50	25
5	51	25
6	50	25

end1.0ms (0%)

Compiler: Compiled 20 to 14 computations (30% saved)

sample1.4s (17.7%)

Algorithm

1×

intervals

Results

510.0ms	7699×	body	128	valid
279.0ms	8863×	pre	128	true
56.0ms	863×	body	128	nan
40.0ms	301×	body	256	valid

Compiler

Compiled 270 to 177 computations (34.4% saved)

Details

analyze419.0ms (5.4%)

sample41.0ms (0.5%)

simplify272.0ms (3.5%)

prune4.0ms (0%)

localize10.0ms (0.1%)

rewrite224.0ms (2.9%)

series158.0ms (2%)

simplify119.0ms (1.5%)

prune67.0ms (0.9%)

localize15.0ms (0.2%)

rewrite240.0ms (3.1%)

series189.0ms (2.4%)

simplify142.0ms (1.8%)

prune126.0ms (1.6%)

localize12.0ms (0.2%)

rewrite211.0ms (2.7%)

series183.0ms (2.3%)

simplify145.0ms (1.9%)

prune113.0ms (1.4%)

localize11.0ms (0.1%)

rewrite211.0ms (2.7%)

series171.0ms (2.2%)

simplify145.0ms (1.9%)

prune126.0ms (1.6%)

regimes3.1s (39.4%)

simplify5.0ms (0.1%)

end1.0ms (0%)

sample1.4s (17.7%)

Profiling