Details

analyze2.5s (17.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
0%	99.7%	0.3%	11
0%	99.7%	0.3%	12
0%	99.7%	0.3%	13
0%	99.7%	0.3%	14

Compiler

Compiled 27 to 19 computations (29.6% saved)

sample119.0ms (0.8%)

Algorithm

1×

intervals

Results

18.0ms	256×	body	128	valid
9.0ms	141×	body	128	invalid

Compiler

Compiled 60 to 44 computations (26.7% saved)

simplify60.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

828×	`fma-def_binary64`
568×	`div-sub_binary64`
502×	`associate-/r/_binary64`
476×	`distribute-neg-frac_binary64`
465×	`cancel-sign-sub-inv_binary64`

Counts

1 → 2

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	19	28
1	42	28
2	116	24
3	352	24
4	880	23
5	2041	21
6	4154	21
7	4365	21
8	4941	21

prune5.0ms (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

5.7b

Counts

3 → 2

Alt Table

Status	Error	Program
	19.7b	(/.f64 (+.f64 (-.f64 (.f64 (.f64 x 9) y) (.f64 (.f64 (.f64 z 4) t) a)) b) (.f64 z c))
▶	12.5b	(/.f64 (fma.f64 t (.f64 a -4) (/.f64 (fma.f64 x (.f64 9 y) b) z)) c)

Compiler

Compiled 137 to 92 computations (32.8% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 t (.f64 a -4) (/.f64 (fma.f64 x (.f64 9 y) b) z))
✓	0.1b	(fma.f64 x (*.f64 9 y) b)
✓	2.0b	(/.f64 (fma.f64 x (*.f64 9 y) b) z)
✓	9.8b	(/.f64 (fma.f64 t (.f64 a -4) (/.f64 (fma.f64 x (.f64 9 y) b) z)) c)

series153.0ms (1.1%)

Counts

4 → 240

Calls

4 calls:

85.0ms	(/.f64 (fma.f64 t (.f64 a -4) (/.f64 (fma.f64 x (.f64 9 y) b) z)) c)
41.0ms	(fma.f64 t (.f64 a -4) (/.f64 (fma.f64 x (.f64 9 y) b) z))
21.0ms	(/.f64 (fma.f64 x (*.f64 9 y) b) z)
7.0ms	(fma.f64 x (*.f64 9 y) b)

rewrite10.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`*-un-lft-identity_binary64`
20×	`add-sqr-sqrt_binary64`
20×	`add-cube-cbrt_binary64`
18×	`times-frac_binary64`
8×	`add-cbrt-cube_binary64`

Counts

4 → 78

Calls

4 calls:

2.0ms	(/.f64 (fma.f64 t (.f64 a -4) (/.f64 (fma.f64 x (.f64 9 y) b) z)) c)
2.0ms	(/.f64 (fma.f64 x (*.f64 9 y) b) z)
0.0ms	(fma.f64 t (.f64 a -4) (/.f64 (fma.f64 x (.f64 9 y) b) z))
0.0ms	(fma.f64 x (*.f64 9 y) b)

simplify181.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

913×	`div-sub_binary64`
630×	`fma-def_binary64`
477×	`fma-neg_binary64`
332×	`associate-/l/_binary64`
274×	`distribute-rgt-in_binary64`

Counts

318 → 171

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	151	6685
1	296	6160
2	725	5908
3	1995	5341
4	4278	5341
5	6463	5341

prune189.0ms (1.3%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	157	14	171
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	158	15	173

Error

5.2b

Counts

173 → 15

Alt Table

Status	Error	Program
	19.7b	(/.f64 (+.f64 (-.f64 (.f64 (.f64 x 9) y) (.f64 (.f64 (.f64 z 4) t) a)) b) (.f64 z c))
	13.3b	(.f64 (/.f64 1 (.f64 (cbrt.f64 c) (cbrt.f64 c))) (/.f64 (fma.f64 t (.f64 a -4) (/.f64 (fma.f64 x (.f64 9 y) b) z)) (cbrt.f64 c)))
	13.3b	(/.f64 (.f64 (cbrt.f64 (fma.f64 t (.f64 a -4) (/.f64 (fma.f64 x (.f64 9 y) b) z))) (cbrt.f64 (fma.f64 t (.f64 a -4) (/.f64 (fma.f64 x (.f64 9 y) b) z)))) (/.f64 c (cbrt.f64 (fma.f64 t (.f64 a -4) (/.f64 (fma.f64 x (*.f64 9 y) b) z)))))
	33.2b	(/.f64 (fma.f64 9 (/.f64 (*.f64 y x) z) (/.f64 b z)) c)
	36.9b	(/.f64 (fma.f64 t (.f64 a -4) (/.f64 (cbrt.f64 (.f64 (.f64 (fma.f64 x (.f64 9 y) b) (fma.f64 x (.f64 9 y) b)) (fma.f64 x (.f64 9 y) b))) z)) c)
	12.6b	(/.f64 1 (/.f64 c (fma.f64 a (.f64 t -4) (/.f64 (fma.f64 9 (.f64 y x) b) z))))
	49.2b	(.f64 9 (/.f64 (.f64 y x) (*.f64 c z)))
	25.3b	(/.f64 (fma.f64 (*.f64 a t) -4 (/.f64 b z)) c)
	40.9b	(.f64 -4 (/.f64 (.f64 a t) c))
	12.8b	(/.f64 (fma.f64 t (.f64 a -4) (.f64 (.f64 (cbrt.f64 (fma.f64 9 (.f64 y x) b)) (cbrt.f64 (fma.f64 9 (.f64 y x) b))) (/.f64 (cbrt.f64 (fma.f64 9 (.f64 y x) b)) z))) c)
	13.3b	(.f64 (/.f64 (.f64 (cbrt.f64 (fma.f64 t (.f64 a -4) (/.f64 (fma.f64 x (.f64 9 y) b) z))) (cbrt.f64 (fma.f64 t (.f64 a -4) (/.f64 (fma.f64 x (.f64 9 y) b) z)))) 1) (/.f64 (cbrt.f64 (fma.f64 t (.f64 a -4) (/.f64 (fma.f64 x (.f64 9 y) b) z))) c))
▶	12.6b	(.f64 (fma.f64 t (.f64 a -4) (/.f64 (fma.f64 x (*.f64 9 y) b) z)) (/.f64 1 c))
	31.3b	(/.f64 (fma.f64 9 (.f64 y x) b) (.f64 z c))
	42.8b	(/.f64 b (*.f64 c z))
	13.3b	(.f64 (.f64 (cbrt.f64 (/.f64 (fma.f64 t (.f64 a -4) (/.f64 (fma.f64 x (.f64 9 y) b) z)) c)) (cbrt.f64 (/.f64 (fma.f64 t (.f64 a -4) (/.f64 (fma.f64 x (.f64 9 y) b) z)) c))) (cbrt.f64 (/.f64 (fma.f64 t (.f64 a -4) (/.f64 (fma.f64 x (.f64 9 y) b) z)) c)))

Compiler

Compiled 4758 to 2616 computations (45% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(fma.f64 t (.f64 a -4) (/.f64 (fma.f64 x (.f64 9 y) b) z))
	0.1b	(fma.f64 x (*.f64 9 y) b)
	2.0b	(/.f64 (fma.f64 x (*.f64 9 y) b) z)
✓	9.9b	(.f64 (fma.f64 t (.f64 a -4) (/.f64 (fma.f64 x (*.f64 9 y) b) z)) (/.f64 1 c))

series81.0ms (0.6%)

Counts

1 → 84

Calls

1 calls:

81.0ms

(*.f64 (fma.f64 t (*.f64 a -4) (/.f64 (fma.f64 x (*.f64 9 y) b) z)) (/.f64 1 c))

rewrite9.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64`
13×	`associate-r_binary64`
11×	`times-frac_binary64`
10×	`*-un-lft-identity_binary64`
10×	`add-exp-log_binary64`

Counts

1 → 38

Calls

1 calls:

6.0ms

(*.f64 (fma.f64 t (*.f64 a -4) (/.f64 (fma.f64 x (*.f64 9 y) b) z)) (/.f64 1 c))

simplify87.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

893×	`fma-def_binary64`
740×	`distribute-rgt-in_binary64`
236×	`associate-l_binary64`
202×	`associate-r_binary64`
162×	`fma-neg_binary64`

Counts

122 → 78

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	100	3557
1	231	3078
2	599	2942
3	1901	2744
4	5182	2744

prune194.0ms (1.3%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	177	4	181
Fresh	2	12	14
Picked	1	0	1
Done	0	0	0
Total	180	16	196

Error

5.1b

Counts

196 → 16

Alt Table

Status	Error	Program
	12.6b	(.f64 (fma.f64 t (.f64 a -4) (.f64 (fma.f64 x (.f64 9 y) b) (/.f64 1 z))) (/.f64 1 c))
	12.8b	(/.f64 (fma.f64 t (.f64 a -4) (.f64 (.f64 (cbrt.f64 (fma.f64 9 (.f64 y x) b)) (cbrt.f64 (fma.f64 9 (.f64 y x) b))) (/.f64 (cbrt.f64 (fma.f64 9 (.f64 y x) b)) z))) c)
	13.3b	(/.f64 (.f64 (cbrt.f64 (fma.f64 t (.f64 a -4) (/.f64 (fma.f64 x (.f64 9 y) b) z))) (cbrt.f64 (fma.f64 t (.f64 a -4) (/.f64 (fma.f64 x (.f64 9 y) b) z)))) (/.f64 c (cbrt.f64 (fma.f64 t (.f64 a -4) (/.f64 (fma.f64 x (*.f64 9 y) b) z)))))
	33.2b	(/.f64 (fma.f64 9 (/.f64 (*.f64 y x) z) (/.f64 b z)) c)
	35.5b	(.f64 (fma.f64 t (.f64 a -4) (/.f64 (/.f64 (fma.f64 x (*.f64 9 y) b) (sqrt.f64 z)) (sqrt.f64 z))) (/.f64 1 c))
	13.3b	(.f64 (/.f64 (.f64 (cbrt.f64 (fma.f64 t (.f64 a -4) (/.f64 (fma.f64 x (.f64 9 y) b) z))) (cbrt.f64 (fma.f64 t (.f64 a -4) (/.f64 (fma.f64 x (.f64 9 y) b) z)))) 1) (/.f64 (cbrt.f64 (fma.f64 t (.f64 a -4) (/.f64 (fma.f64 x (.f64 9 y) b) z))) c))
	36.9b	(/.f64 (fma.f64 t (.f64 a -4) (/.f64 (cbrt.f64 (.f64 (.f64 (fma.f64 x (.f64 9 y) b) (fma.f64 x (.f64 9 y) b)) (fma.f64 x (.f64 9 y) b))) z)) c)
▶	12.6b	(/.f64 1 (/.f64 c (fma.f64 a (.f64 t -4) (/.f64 (fma.f64 9 (.f64 y x) b) z))))
	13.3b	(.f64 (.f64 (fma.f64 t (.f64 a -4) (/.f64 (fma.f64 x (.f64 9 y) b) z)) (/.f64 1 (*.f64 (cbrt.f64 c) (cbrt.f64 c)))) (/.f64 1 (cbrt.f64 c)))
	42.8b	(/.f64 b (*.f64 c z))
	19.7b	(/.f64 (+.f64 (-.f64 (.f64 (.f64 x 9) y) (.f64 (.f64 (.f64 z 4) t) a)) b) (.f64 z c))
	49.2b	(.f64 9 (/.f64 (.f64 y x) (*.f64 c z)))
	40.9b	(.f64 -4 (/.f64 (.f64 a t) c))
	25.4b	(.f64 (fma.f64 t (.f64 a -4) (/.f64 b z)) (/.f64 1 c))
	31.3b	(/.f64 (fma.f64 9 (.f64 y x) b) (.f64 z c))
	13.3b	(.f64 (.f64 (cbrt.f64 (/.f64 (fma.f64 t (.f64 a -4) (/.f64 (fma.f64 x (.f64 9 y) b) z)) c)) (cbrt.f64 (/.f64 (fma.f64 t (.f64 a -4) (/.f64 (fma.f64 x (.f64 9 y) b) z)) c))) (cbrt.f64 (/.f64 (fma.f64 t (.f64 a -4) (/.f64 (fma.f64 x (.f64 9 y) b) z)) c)))

Compiler

Compiled 5203 to 3038 computations (41.6% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 9 (*.f64 y x) b)
✓	0.4b	(/.f64 1 (/.f64 c (fma.f64 a (.f64 t -4) (/.f64 (fma.f64 9 (.f64 y x) b) z))))
✓	2.0b	(/.f64 (fma.f64 9 (*.f64 y x) b) z)
✓	9.8b	(/.f64 c (fma.f64 a (.f64 t -4) (/.f64 (fma.f64 9 (.f64 y x) b) z)))

series651.0ms (4.5%)

Counts

4 → 252

Calls

4 calls:

366.0ms	(/.f64 c (fma.f64 a (.f64 t -4) (/.f64 (fma.f64 9 (.f64 y x) b) z)))
183.0ms	(fma.f64 9 (*.f64 y x) b)
83.0ms	(/.f64 1 (/.f64 c (fma.f64 a (.f64 t -4) (/.f64 (fma.f64 9 (.f64 y x) b) z))))
19.0ms	(/.f64 (fma.f64 9 (*.f64 y x) b) z)

rewrite22.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

93×	`times-frac_binary64`
62×	`*-un-lft-identity_binary64`
62×	`add-sqr-sqrt_binary64`
62×	`add-cube-cbrt_binary64`
19×	`associate-/r*_binary64`

Counts

4 → 146

Calls

4 calls:

4.0ms	(/.f64 1 (/.f64 c (fma.f64 a (.f64 t -4) (/.f64 (fma.f64 9 (.f64 y x) b) z))))
2.0ms	(/.f64 c (fma.f64 a (.f64 t -4) (/.f64 (fma.f64 9 (.f64 y x) b) z)))
2.0ms	(/.f64 (fma.f64 9 (*.f64 y x) b) z)
0.0ms	(fma.f64 9 (*.f64 y x) b)

simplify355.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

809×	`times-frac_binary64`
455×	`associate-/l*_binary64`
294×	`fma-def_binary64`
167×	`*-commutative_binary64`
132×	`associate-/r/_binary64`

Counts

398 → 264

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	581	16326
1	1686	15557
2	4970	15557
3	4991	15557

prune371.0ms (2.6%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	258	6	264
Fresh	6	9	15
Picked	0	1	1
Done	0	0	0
Total	264	16	280

Error

5.1b

Counts

280 → 16

Alt Table

Status	Error	Program
	19.7b	(/.f64 (+.f64 (-.f64 (.f64 (.f64 x 9) y) (.f64 (.f64 (.f64 z 4) t) a)) b) (.f64 z c))
	33.3b	(/.f64 1 (/.f64 c (fma.f64 9 (/.f64 (*.f64 y x) z) (/.f64 b z))))
▶	12.6b	(.f64 (fma.f64 t (.f64 a -4) (.f64 (fma.f64 x (.f64 9 y) b) (/.f64 1 z))) (/.f64 1 c))
	12.8b	(/.f64 (fma.f64 t (.f64 a -4) (.f64 (.f64 (cbrt.f64 (fma.f64 9 (.f64 y x) b)) (cbrt.f64 (fma.f64 9 (.f64 y x) b))) (/.f64 (cbrt.f64 (fma.f64 9 (.f64 y x) b)) z))) c)
	25.4b	(.f64 (fma.f64 t (.f64 a -4) (/.f64 b z)) (/.f64 1 c))
	12.7b	(/.f64 1 (.f64 c (/.f64 1 (fma.f64 a (.f64 t -4) (/.f64 (fma.f64 9 (*.f64 y x) b) z)))))
	36.9b	(/.f64 (fma.f64 t (.f64 a -4) (/.f64 (cbrt.f64 (.f64 (.f64 (fma.f64 x (.f64 9 y) b) (fma.f64 x (.f64 9 y) b)) (fma.f64 x (.f64 9 y) b))) z)) c)
✓	12.6b	(/.f64 1 (/.f64 c (fma.f64 a (.f64 t -4) (/.f64 (fma.f64 9 (.f64 y x) b) z))))
	49.2b	(/.f64 1 (.f64 1/9 (/.f64 (.f64 c z) (*.f64 y x))))
	38.7b	(/.f64 1 (.f64 (sqrt.f64 (/.f64 c (fma.f64 a (.f64 t -4) (/.f64 (fma.f64 9 (.f64 y x) b) z)))) (sqrt.f64 (/.f64 c (fma.f64 a (.f64 t -4) (/.f64 (fma.f64 9 (*.f64 y x) b) z))))))
	40.9b	(.f64 -4 (/.f64 (.f64 a t) c))
	42.8b	(/.f64 1 (/.f64 (*.f64 c z) b))
	38.5b	(/.f64 1 (/.f64 (/.f64 c (sqrt.f64 (fma.f64 a (.f64 t -4) (/.f64 (fma.f64 9 (.f64 y x) b) z)))) (sqrt.f64 (fma.f64 a (.f64 t -4) (/.f64 (fma.f64 9 (.f64 y x) b) z)))))
	13.3b	(/.f64 (.f64 (cbrt.f64 (fma.f64 t (.f64 a -4) (/.f64 (fma.f64 x (.f64 9 y) b) z))) (cbrt.f64 (fma.f64 t (.f64 a -4) (/.f64 (fma.f64 x (.f64 9 y) b) z)))) (/.f64 c (cbrt.f64 (fma.f64 t (.f64 a -4) (/.f64 (fma.f64 x (*.f64 9 y) b) z)))))
	31.3b	(/.f64 (fma.f64 9 (.f64 y x) b) (.f64 z c))
	13.3b	(.f64 (.f64 (fma.f64 t (.f64 a -4) (/.f64 (fma.f64 x (.f64 9 y) b) z)) (/.f64 1 (*.f64 (cbrt.f64 c) (cbrt.f64 c)))) (/.f64 1 (cbrt.f64 c)))

Compiler

Compiled 12226 to 6721 computations (45% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 t (.f64 a -4) (.f64 (fma.f64 x (*.f64 9 y) b) (/.f64 1 z)))
	0.1b	(fma.f64 x (*.f64 9 y) b)
✓	2.1b	(.f64 (fma.f64 x (.f64 9 y) b) (/.f64 1 z))
✓	9.9b	(.f64 (fma.f64 t (.f64 a -4) (.f64 (fma.f64 x (.f64 9 y) b) (/.f64 1 z))) (/.f64 1 c))

series144.0ms (1%)

Counts

3 → 204

Calls

3 calls:

84.0ms

(*.f64 (fma.f64 t (*.f64 a -4) (*.f64 (fma.f64 x (*.f64 9 y) b) (/.f64 1 z))) (/.f64 1 c))

40.0ms

(fma.f64 t (*.f64 a -4) (*.f64 (fma.f64 x (*.f64 9 y) b) (/.f64 1 z)))

20.0ms

(*.f64 (fma.f64 x (*.f64 9 y) b) (/.f64 1 z))

rewrite19.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

33×	`add-sqr-sqrt_binary64`
26×	`associate-r_binary64`
22×	`times-frac_binary64`
21×	`*-un-lft-identity_binary64`
21×	`add-exp-log_binary64`

Counts

3 → 86

Calls

3 calls:

5.0ms

(*.f64 (fma.f64 t (*.f64 a -4) (*.f64 (fma.f64 x (*.f64 9 y) b) (/.f64 1 z))) (/.f64 1 c))

5.0ms

(*.f64 (fma.f64 x (*.f64 9 y) b) (/.f64 1 z))

0.0ms

(fma.f64 t (*.f64 a -4) (*.f64 (fma.f64 x (*.f64 9 y) b) (/.f64 1 z)))

simplify208.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

594×	`fma-def_binary64`
304×	`fma-neg_binary64`
258×	`times-frac_binary64`
253×	`exp-prod_binary64`
221×	`distribute-rgt-in_binary64`

Counts

290 → 166

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	153	6525
1	340	5910
2	922	5325
3	2302	4917
4	4516	4917
5	4969	4917

prune434.0ms (3%)

Pruning

16 alts after pruning (14 fresh and 2 done)

	Pruned	Kept	Total
New	185	2	187
Fresh	2	12	14
Picked	0	1	1
Done	0	1	1
Total	187	16	203

Error

5.1b

Counts

203 → 16

Alt Table

Status	Error	Program
	19.7b	(/.f64 (+.f64 (-.f64 (.f64 (.f64 x 9) y) (.f64 (.f64 (.f64 z 4) t) a)) b) (.f64 z c))
	33.3b	(/.f64 1 (/.f64 c (fma.f64 9 (/.f64 (*.f64 y x) z) (/.f64 b z))))
	13.2b	(.f64 (.f64 (fma.f64 a (.f64 t -4) (/.f64 (fma.f64 9 (.f64 y x) b) z)) (*.f64 (cbrt.f64 (/.f64 1 c)) (cbrt.f64 (/.f64 1 c)))) (cbrt.f64 (/.f64 1 c)))
	40.9b	(.f64 -4 (/.f64 (.f64 a t) c))
✓	12.6b	(.f64 (fma.f64 t (.f64 a -4) (.f64 (fma.f64 x (.f64 9 y) b) (/.f64 1 z))) (/.f64 1 c))
	12.8b	(/.f64 (fma.f64 t (.f64 a -4) (.f64 (.f64 (cbrt.f64 (fma.f64 9 (.f64 y x) b)) (cbrt.f64 (fma.f64 9 (.f64 y x) b))) (/.f64 (cbrt.f64 (fma.f64 9 (.f64 y x) b)) z))) c)
	25.4b	(.f64 (fma.f64 t (.f64 a -4) (/.f64 b z)) (/.f64 1 c))
	12.7b	(/.f64 1 (.f64 c (/.f64 1 (fma.f64 a (.f64 t -4) (/.f64 (fma.f64 9 (*.f64 y x) b) z)))))
✓	12.6b	(/.f64 1 (/.f64 c (fma.f64 a (.f64 t -4) (/.f64 (fma.f64 9 (.f64 y x) b) z))))
	49.2b	(/.f64 1 (.f64 1/9 (/.f64 (.f64 c z) (*.f64 y x))))
	38.7b	(/.f64 1 (.f64 (sqrt.f64 (/.f64 c (fma.f64 a (.f64 t -4) (/.f64 (fma.f64 9 (.f64 y x) b) z)))) (sqrt.f64 (/.f64 c (fma.f64 a (.f64 t -4) (/.f64 (fma.f64 9 (*.f64 y x) b) z))))))
	13.0b	(.f64 (fma.f64 t (.f64 a -4) (.f64 (.f64 (fma.f64 x (.f64 9 y) b) (.f64 (cbrt.f64 (/.f64 1 z)) (cbrt.f64 (/.f64 1 z)))) (cbrt.f64 (/.f64 1 z)))) (/.f64 1 c))
	42.8b	(/.f64 1 (/.f64 (*.f64 c z) b))
	13.3b	(/.f64 (.f64 (cbrt.f64 (fma.f64 t (.f64 a -4) (/.f64 (fma.f64 x (.f64 9 y) b) z))) (cbrt.f64 (fma.f64 t (.f64 a -4) (/.f64 (fma.f64 x (.f64 9 y) b) z)))) (/.f64 c (cbrt.f64 (fma.f64 t (.f64 a -4) (/.f64 (fma.f64 x (*.f64 9 y) b) z)))))
	31.3b	(/.f64 (fma.f64 9 (.f64 y x) b) (.f64 z c))
	13.3b	(.f64 (.f64 (fma.f64 t (.f64 a -4) (/.f64 (fma.f64 x (.f64 9 y) b) z)) (/.f64 1 (*.f64 (cbrt.f64 c) (cbrt.f64 c)))) (/.f64 1 (cbrt.f64 c)))

Compiler

Compiled 5078 to 3097 computations (39% saved)

regimes6.3s (43.6%)

Accuracy

Total 2.4b remaining (28.7%)

Threshold costs 0b (0%)

Counts

234 → 4

Compiler

Compiled 69690 to 48144 computations (30.9% saved)

bsearch15.0ms (0.1%)

Compiler: Compiled 26 to 18 computations (30.8% saved)

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

27×	`*-commutative_binary64`
18×	`+-commutative_binary64`
17×	`sub-neg_binary64`
15×	`distribute-rgt-neg-in_binary64`
14×	`neg-sub0_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	55	210
1	89	210
2	119	208
3	157	208
4	187	208
5	198	208
6	200	208
7	195	208

end42.0ms (0.3%)

Remove: (sort x y)
Compiler: Compiled 1036 to 588 computations (43.2% saved)

sample2.2s (15.6%)

Algorithm

1×

intervals

Results

599.0ms	8000×	body	128	valid
333.0ms	4781×	body	128	invalid

Compiler

Compiled 626 to 421 computations (32.7% saved)

Details

analyze2.5s (17.2%)

sample119.0ms (0.8%)

simplify60.0ms (0.4%)

prune5.0ms (0%)

localize12.0ms (0.1%)

series153.0ms (1.1%)

rewrite10.0ms (0.1%)

simplify181.0ms (1.3%)

prune189.0ms (1.3%)

localize12.0ms (0.1%)

series81.0ms (0.6%)

rewrite9.0ms (0.1%)

simplify87.0ms (0.6%)

prune194.0ms (1.3%)

localize12.0ms (0.1%)

series651.0ms (4.5%)

rewrite22.0ms (0.1%)

simplify355.0ms (2.5%)

prune371.0ms (2.6%)

localize15.0ms (0.1%)

series144.0ms (1%)

rewrite19.0ms (0.1%)

simplify208.0ms (1.4%)

prune434.0ms (3%)

regimes6.3s (43.6%)

bsearch15.0ms (0.1%)

simplify11.0ms (0.1%)

end42.0ms (0.3%)

sample2.2s (15.6%)

Profiling