Details

analyze2.1s (17%)

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)

sample2.3s (18.2%)

Symmetry

(sort x y)

(sort t a)

Results

1.3s	8256×	body	128	valid
841.0ms	4982×	body	128	invalid

Compiler

Compiled 80 to 56 computations (30% saved)

simplify60.0ms (0.5%)

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

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

6.1b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	12.8b	(/.f64 (fma.f64 t (.f64 a -4) (/.f64 (fma.f64 x (.f64 9 y) b) z)) c)
	20.5b	(/.f64 (+.f64 (-.f64 (.f64 (.f64 x 9) y) (.f64 (.f64 (.f64 z 4) t) a)) b) (.f64 z c))

Compiler

Compiled 137 to 92 computations (32.8% saved)

localize11.0ms (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)
✓	2.7b	(/.f64 (fma.f64 x (*.f64 9 y) b) z)
✓	9.7b	(/.f64 (fma.f64 t (.f64 a -4) (/.f64 (fma.f64 x (.f64 9 y) b) z)) c)

series181.0ms (1.4%)

Counts

4 → 240

Calls

4 calls:

80.0ms	(/.f64 (fma.f64 t (.f64 a -4) (/.f64 (fma.f64 x (.f64 9 y) b) z)) c)
75.0ms	(fma.f64 t (.f64 a -4) (/.f64 (fma.f64 x (.f64 9 y) b) z))
19.0ms	(/.f64 (fma.f64 x (*.f64 9 y) b) z)
6.0ms	(fma.f64 x (*.f64 9 y) b)

rewrite8.0ms (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)

simplify172.0ms (1.4%)

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

prune168.0ms (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

5.9b

Counts

173 → 15

Alt Table

Status	Error	Program
	32.8b	(/.f64 (fma.f64 t (.f64 a -4) (cbrt.f64 (pow.f64 (/.f64 (fma.f64 9 (.f64 y x) b) z) 3))) c)
	49.7b	(.f64 9 (/.f64 (.f64 y x) (*.f64 c z)))
	20.5b	(/.f64 (+.f64 (-.f64 (.f64 (.f64 x 9) y) (.f64 (.f64 (.f64 z 4) t) a)) b) (.f64 z c))
	13.8b	(.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)))) (.f64 (cbrt.f64 c) (cbrt.f64 c))) (/.f64 (cbrt.f64 (fma.f64 t (.f64 a -4) (/.f64 (fma.f64 x (*.f64 9 y) b) z))) (cbrt.f64 c)))
	38.2b	(/.f64 (sqrt.f64 (fma.f64 t (.f64 a -4) (/.f64 (fma.f64 x (.f64 9 y) b) z))) (/.f64 c (sqrt.f64 (fma.f64 t (.f64 a -4) (/.f64 (fma.f64 x (.f64 9 y) b) z)))))
	42.8b	(.f64 -4 (/.f64 (.f64 a t) c))
	40.8b	(/.f64 (cbrt.f64 (.f64 (.f64 (fma.f64 t (.f64 a -4) (/.f64 (fma.f64 x (.f64 9 y) b) z)) (fma.f64 t (.f64 a -4) (/.f64 (fma.f64 x (.f64 9 y) b) z))) (fma.f64 t (.f64 a -4) (/.f64 (fma.f64 x (.f64 9 y) b) z)))) c)
	13.0b	(/.f64 1 (/.f64 c (fma.f64 t (.f64 a -4) (/.f64 (fma.f64 x (.f64 9 y) b) z))))
	23.4b	(/.f64 (fma.f64 t (*.f64 a -4) (/.f64 b z)) c)
▶	12.9b	(/.f64 (fma.f64 t (.f64 a -4) (.f64 (fma.f64 x (*.f64 9 y) b) (/.f64 1 z))) c)
	38.2b	(.f64 (sqrt.f64 (fma.f64 a (.f64 t -4) (/.f64 (fma.f64 9 (.f64 y x) b) z))) (/.f64 (sqrt.f64 (fma.f64 a (.f64 t -4) (/.f64 (fma.f64 9 (*.f64 y x) b) z))) c))
	38.3b	(/.f64 b (*.f64 c z))
	38.5b	(.f64 (/.f64 (sqrt.f64 (fma.f64 t (.f64 a -4) (/.f64 (fma.f64 x (.f64 9 y) b) z))) (.f64 (cbrt.f64 c) (cbrt.f64 c))) (/.f64 (sqrt.f64 (fma.f64 t (.f64 a -4) (/.f64 (fma.f64 x (.f64 9 y) b) z))) (cbrt.f64 c)))
	13.6b	(.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)))
	30.3b	(/.f64 (fma.f64 9 (/.f64 (*.f64 y x) z) (/.f64 b z)) c)

Compiler

Compiled 4808 to 2644 computations (45% saved)

localize20.0ms (0.2%)

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)
✓	2.9b	(.f64 (fma.f64 x (.f64 9 y) b) (/.f64 1 z))
✓	9.7b	(/.f64 (fma.f64 t (.f64 a -4) (.f64 (fma.f64 x (*.f64 9 y) b) (/.f64 1 z))) c)

series143.0ms (1.1%)

Counts

3 → 204

Calls

3 calls:

87.0ms	(/.f64 (fma.f64 t (.f64 a -4) (.f64 (fma.f64 x (*.f64 9 y) b) (/.f64 1 z))) c)
36.0ms	(fma.f64 t (.f64 a -4) (.f64 (fma.f64 x (*.f64 9 y) b) (/.f64 1 z)))
19.0ms	(.f64 (fma.f64 x (.f64 9 y) b) (/.f64 1 z))

rewrite12.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

26×	`add-sqr-sqrt_binary64`
20×	`*-un-lft-identity_binary64`
20×	`times-frac_binary64`
19×	`add-cube-cbrt_binary64`
14×	`add-exp-log_binary64`

Counts

3 → 77

Calls

3 calls:

5.0ms	(.f64 (fma.f64 x (.f64 9 y) b) (/.f64 1 z))
2.0ms	(/.f64 (fma.f64 t (.f64 a -4) (.f64 (fma.f64 x (*.f64 9 y) b) (/.f64 1 z))) c)
0.0ms	(fma.f64 t (.f64 a -4) (.f64 (fma.f64 x (*.f64 9 y) b) (/.f64 1 z)))

simplify159.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

501×	`fma-neg_binary64`
307×	`associate-l_binary64`
288×	`associate-/l/_binary64`
283×	`cancel-sign-sub-inv_binary64`
282×	`exp-prod_binary64`

Counts

281 → 157

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	152	6399
1	317	5850
2	813	5292
3	2456	4890
4	4332	4890
5	4978	4890

prune173.0ms (1.4%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	176	2	178
Fresh	1	13	14
Picked	1	0	1
Done	0	0	0
Total	178	15	193

Error

5.9b

Counts

193 → 15

Alt Table

Status	Error	Program
	32.8b	(/.f64 (fma.f64 t (.f64 a -4) (cbrt.f64 (pow.f64 (/.f64 (fma.f64 9 (.f64 y x) b) z) 3))) c)
	49.7b	(.f64 9 (/.f64 (.f64 y x) (*.f64 c z)))
	20.5b	(/.f64 (+.f64 (-.f64 (.f64 (.f64 x 9) y) (.f64 (.f64 (.f64 z 4) t) a)) b) (.f64 z c))
	13.8b	(.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)))) (.f64 (cbrt.f64 c) (cbrt.f64 c))) (/.f64 (cbrt.f64 (fma.f64 t (.f64 a -4) (/.f64 (fma.f64 x (*.f64 9 y) b) z))) (cbrt.f64 c)))
	23.5b	(/.f64 (fma.f64 t (.f64 a -4) (.f64 b (/.f64 1 z))) c)
	38.2b	(/.f64 (sqrt.f64 (fma.f64 t (.f64 a -4) (/.f64 (fma.f64 x (.f64 9 y) b) z))) (/.f64 c (sqrt.f64 (fma.f64 t (.f64 a -4) (/.f64 (fma.f64 x (.f64 9 y) b) z)))))
	42.8b	(.f64 -4 (/.f64 (.f64 a t) c))
	30.3b	(/.f64 (/.f64 (fma.f64 9 (*.f64 y x) b) z) c)
	30.3b	(/.f64 (fma.f64 9 (/.f64 (*.f64 y x) z) (/.f64 b z)) c)
	40.8b	(/.f64 (cbrt.f64 (.f64 (.f64 (fma.f64 t (.f64 a -4) (/.f64 (fma.f64 x (.f64 9 y) b) z)) (fma.f64 t (.f64 a -4) (/.f64 (fma.f64 x (.f64 9 y) b) z))) (fma.f64 t (.f64 a -4) (/.f64 (fma.f64 x (.f64 9 y) b) z)))) c)
▶	13.0b	(/.f64 1 (/.f64 c (fma.f64 t (.f64 a -4) (/.f64 (fma.f64 x (.f64 9 y) b) z))))
	38.2b	(.f64 (sqrt.f64 (fma.f64 a (.f64 t -4) (/.f64 (fma.f64 9 (.f64 y x) b) z))) (/.f64 (sqrt.f64 (fma.f64 a (.f64 t -4) (/.f64 (fma.f64 9 (*.f64 y x) b) z))) c))
	38.3b	(/.f64 b (*.f64 c z))
	38.5b	(.f64 (/.f64 (sqrt.f64 (fma.f64 t (.f64 a -4) (/.f64 (fma.f64 x (.f64 9 y) b) z))) (.f64 (cbrt.f64 c) (cbrt.f64 c))) (/.f64 (sqrt.f64 (fma.f64 t (.f64 a -4) (/.f64 (fma.f64 x (.f64 9 y) b) z))) (cbrt.f64 c)))
	13.6b	(.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 5174 to 3009 computations (41.8% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(fma.f64 x (*.f64 9 y) b)
✓	0.4b	(/.f64 1 (/.f64 c (fma.f64 t (.f64 a -4) (/.f64 (fma.f64 x (.f64 9 y) b) z))))
	2.7b	(/.f64 (fma.f64 x (*.f64 9 y) b) z)
✓	9.7b	(/.f64 c (fma.f64 t (.f64 a -4) (/.f64 (fma.f64 x (.f64 9 y) b) z)))

series354.0ms (2.8%)

Counts

2 → 168

Calls

2 calls:

279.0ms	(/.f64 c (fma.f64 t (.f64 a -4) (/.f64 (fma.f64 x (.f64 9 y) b) z)))
75.0ms	(/.f64 1 (/.f64 c (fma.f64 t (.f64 a -4) (/.f64 (fma.f64 x (.f64 9 y) b) z))))

rewrite17.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

84×	`times-frac_binary64`
52×	`*-un-lft-identity_binary64`
52×	`add-sqr-sqrt_binary64`
52×	`add-cube-cbrt_binary64`
16×	`associate-/r*_binary64`

Counts

2 → 107

Calls

2 calls:

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

simplify189.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

795×	`times-frac_binary64`
466×	`associate-/r*_binary64`
436×	`associate-/l*_binary64`
295×	`fma-def_binary64`
167×	`*-commutative_binary64`

Counts

275 → 213

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	532	14808
1	1616	14085
2	5455	14085

prune390.0ms (3.1%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	283	7	290
Fresh	6	8	14
Picked	1	0	1
Done	0	0	0
Total	290	15	305

Error

5.8b

Counts

305 → 15

Alt Table

Status	Error	Program
	32.8b	(/.f64 (fma.f64 t (.f64 a -4) (cbrt.f64 (pow.f64 (/.f64 (fma.f64 9 (.f64 y x) b) z) 3))) c)
	49.7b	(.f64 9 (/.f64 (.f64 y x) (*.f64 c z)))
	20.5b	(/.f64 (+.f64 (-.f64 (.f64 (.f64 x 9) y) (.f64 (.f64 (.f64 z 4) t) a)) b) (.f64 z c))
	13.8b	(.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)))) (.f64 (cbrt.f64 c) (cbrt.f64 c))) (/.f64 (cbrt.f64 (fma.f64 t (.f64 a -4) (/.f64 (fma.f64 x (*.f64 9 y) b) z))) (cbrt.f64 c)))
	13.0b	(/.f64 (/.f64 1 c) (/.f64 1 (fma.f64 t (.f64 a -4) (/.f64 (fma.f64 x (.f64 9 y) b) z))))
	38.3b	(/.f64 1 (/.f64 (*.f64 c z) b))
	23.5b	(/.f64 (fma.f64 t (.f64 a -4) (.f64 b (/.f64 1 z))) c)
	30.3b	(/.f64 (/.f64 (fma.f64 9 (*.f64 y x) b) z) c)
	34.7b	(/.f64 1 (fma.f64 4 (/.f64 (.f64 c (.f64 a t)) (pow.f64 (fma.f64 9 (/.f64 (.f64 y x) z) (/.f64 b z)) 2)) (/.f64 c (fma.f64 9 (/.f64 (.f64 y x) z) (/.f64 b z)))))
	36.5b	(/.f64 (/.f64 1 (sqrt.f64 c)) (/.f64 (sqrt.f64 c) (fma.f64 t (.f64 a -4) (/.f64 (fma.f64 x (.f64 9 y) b) z))))
	42.9b	(/.f64 1 (.f64 -1/4 (/.f64 c (.f64 a t))))
▶	12.8b	(/.f64 (-.f64 (fma.f64 9 (/.f64 (.f64 y x) z) (/.f64 b z)) (.f64 4 (*.f64 a t))) c)
	38.2b	(.f64 (sqrt.f64 (fma.f64 a (.f64 t -4) (/.f64 (fma.f64 9 (.f64 y x) b) z))) (/.f64 (sqrt.f64 (fma.f64 a (.f64 t -4) (/.f64 (fma.f64 9 (*.f64 y x) b) z))) c))
	28.0b	(/.f64 1 (-.f64 (/.f64 c (-.f64 (/.f64 b z) (.f64 4 (.f64 a t)))) (.f64 9 (/.f64 (.f64 c (.f64 y x)) (.f64 z (pow.f64 (-.f64 (/.f64 b z) (.f64 4 (.f64 a t))) 2))))))
	40.8b	(/.f64 (cbrt.f64 (.f64 (.f64 (fma.f64 t (.f64 a -4) (/.f64 (fma.f64 x (.f64 9 y) b) z)) (fma.f64 t (.f64 a -4) (/.f64 (fma.f64 x (.f64 9 y) b) z))) (fma.f64 t (.f64 a -4) (/.f64 (fma.f64 x (.f64 9 y) b) z)))) c)

Compiler

Compiled 12889 to 7339 computations (43.1% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(fma.f64 9 (/.f64 (*.f64 y x) z) (/.f64 b z))
✓	0.5b	(-.f64 (fma.f64 9 (/.f64 (.f64 y x) z) (/.f64 b z)) (.f64 4 (*.f64 a t)))
✓	4.3b	(/.f64 (*.f64 y x) z)
✓	9.7b	(/.f64 (-.f64 (fma.f64 9 (/.f64 (.f64 y x) z) (/.f64 b z)) (.f64 4 (*.f64 a t))) c)

series158.0ms (1.3%)

Counts

4 → 204

Calls

4 calls:

83.0ms	(/.f64 (-.f64 (fma.f64 9 (/.f64 (.f64 y x) z) (/.f64 b z)) (.f64 4 (*.f64 a t))) c)
41.0ms	(-.f64 (fma.f64 9 (/.f64 (.f64 y x) z) (/.f64 b z)) (.f64 4 (*.f64 a t)))
21.0ms	(fma.f64 9 (/.f64 (*.f64 y x) z) (/.f64 b z))
12.0ms	(/.f64 (*.f64 y x) z)

rewrite14.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`*-un-lft-identity_binary64`
16×	`add-sqr-sqrt_binary64`
16×	`add-cube-cbrt_binary64`
12×	`times-frac_binary64`
11×	`add-cbrt-cube_binary64`

Counts

4 → 86

Calls

4 calls:

4.0ms	(/.f64 (-.f64 (fma.f64 9 (/.f64 (.f64 y x) z) (/.f64 b z)) (.f64 4 (*.f64 a t))) c)
3.0ms	(/.f64 (*.f64 y x) z)
3.0ms	(-.f64 (fma.f64 9 (/.f64 (.f64 y x) z) (/.f64 b z)) (.f64 4 (*.f64 a t)))
0.0ms	(fma.f64 9 (/.f64 (*.f64 y x) z) (/.f64 b z))

simplify202.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

567×	`associate-/l*_binary64`
393×	`fma-def_binary64`
358×	`times-frac_binary64`
261×	`distribute-rgt-in_binary64`
257×	`distribute-lft-in_binary64`

Counts

290 → 163

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	175	6772
1	418	6265
2	1419	5873
3	4716	5873
4	4998	5873
5	4998	5873
6	4922	5873

prune163.0ms (1.3%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	161	2	163
Fresh	1	13	14
Picked	1	0	1
Done	0	0	0
Total	163	15	178

Error

3.4b

Counts

178 → 15

Alt Table

Status	Error	Program
	12.5b	(/.f64 (-.f64 (fma.f64 9 (/.f64 y (/.f64 z x)) (/.f64 b z)) (.f64 4 (.f64 a t))) c)
	49.7b	(.f64 9 (/.f64 (.f64 y x) (*.f64 c z)))
	20.5b	(/.f64 (+.f64 (-.f64 (.f64 (.f64 x 9) y) (.f64 (.f64 (.f64 z 4) t) a)) b) (.f64 z c))
	13.8b	(.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)))) (.f64 (cbrt.f64 c) (cbrt.f64 c))) (/.f64 (cbrt.f64 (fma.f64 t (.f64 a -4) (/.f64 (fma.f64 x (*.f64 9 y) b) z))) (cbrt.f64 c)))
	13.0b	(/.f64 (/.f64 1 c) (/.f64 1 (fma.f64 t (.f64 a -4) (/.f64 (fma.f64 x (.f64 9 y) b) z))))
	38.3b	(/.f64 1 (/.f64 (*.f64 c z) b))
	23.5b	(/.f64 (fma.f64 t (.f64 a -4) (.f64 b (/.f64 1 z))) c)
	30.3b	(/.f64 (/.f64 (fma.f64 9 (*.f64 y x) b) z) c)
	34.7b	(/.f64 1 (fma.f64 4 (/.f64 (.f64 c (.f64 a t)) (pow.f64 (fma.f64 9 (/.f64 (.f64 y x) z) (/.f64 b z)) 2)) (/.f64 c (fma.f64 9 (/.f64 (.f64 y x) z) (/.f64 b z)))))
	36.5b	(/.f64 (/.f64 1 (sqrt.f64 c)) (/.f64 (sqrt.f64 c) (fma.f64 t (.f64 a -4) (/.f64 (fma.f64 x (.f64 9 y) b) z))))
	42.9b	(/.f64 1 (.f64 -1/4 (/.f64 c (.f64 a t))))
	12.4b	(/.f64 (-.f64 (fma.f64 9 (.f64 y (/.f64 x z)) (/.f64 b z)) (.f64 4 (*.f64 a t))) c)
	38.2b	(.f64 (sqrt.f64 (fma.f64 a (.f64 t -4) (/.f64 (fma.f64 9 (.f64 y x) b) z))) (/.f64 (sqrt.f64 (fma.f64 a (.f64 t -4) (/.f64 (fma.f64 9 (*.f64 y x) b) z))) c))
	28.0b	(/.f64 1 (-.f64 (/.f64 c (-.f64 (/.f64 b z) (.f64 4 (.f64 a t)))) (.f64 9 (/.f64 (.f64 c (.f64 y x)) (.f64 z (pow.f64 (-.f64 (/.f64 b z) (.f64 4 (.f64 a t))) 2))))))
	40.8b	(/.f64 (cbrt.f64 (.f64 (.f64 (fma.f64 t (.f64 a -4) (/.f64 (fma.f64 x (.f64 9 y) b) z)) (fma.f64 t (.f64 a -4) (/.f64 (fma.f64 x (.f64 9 y) b) z))) (fma.f64 t (.f64 a -4) (/.f64 (fma.f64 x (.f64 9 y) b) z)))) c)

Compiler

Compiled 4795 to 1906 computations (60.3% saved)

regimes5.0s (39.7%)

Accuracy

Total 2.1b remaining (34.6%)

Threshold costs 0b (0%)

Counts

180 → 3

Compiler

Compiled 49870 to 34962 computations (29.9% saved)

bsearch104.0ms (0.8%)

Steps

Iters	Range		Point
7	1.7205010456554057e-27	8.271930791292002e-26	4.429411479627045e-26
9	-172695777996568.63	-53587.43914808395	-13120955.299355708

Compiler

Compiled 8 to 7 computations (12.5% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

17×	`*-commutative_binary64`
11×	`+-commutative_binary64`
10×	`distribute-rgt-neg-in_binary64`
10×	`sub-neg_binary64`
9×	`distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	68
1	58	68
2	80	68
3	103	68
4	116	68
5	122	68
6	123	68
7	122	68

end405.0ms (3.2%)

Remove: (sort t a)
Compiler: Compiled 868 to 576 computations (33.6% saved)

Details

analyze2.1s (17%)

sample2.3s (18.2%)

simplify60.0ms (0.5%)

prune4.0ms (0%)

localize11.0ms (0.1%)

series181.0ms (1.4%)

rewrite8.0ms (0.1%)

simplify172.0ms (1.4%)

prune168.0ms (1.3%)

localize20.0ms (0.2%)

series143.0ms (1.1%)

rewrite12.0ms (0.1%)

simplify159.0ms (1.3%)

prune173.0ms (1.4%)

localize14.0ms (0.1%)

series354.0ms (2.8%)

rewrite17.0ms (0.1%)

simplify189.0ms (1.5%)

prune390.0ms (3.1%)

localize13.0ms (0.1%)

series158.0ms (1.3%)

rewrite14.0ms (0.1%)

simplify202.0ms (1.6%)

prune163.0ms (1.3%)

regimes5.0s (39.7%)

bsearch104.0ms (0.8%)

simplify7.0ms (0.1%)

end405.0ms (3.2%)

Profiling