Details

analyze2.2s (16.6%)

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)

sample2.2s (16.6%)

Symmetry

(sort x y)

(sort t a)

Results

1.4s	8256×	body	128	valid
793.0ms	4907×	body	128	invalid

Compiler

Compiled 80 to 56 computations (30% saved)

simplify61.0ms (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

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

5.2b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	11.0b	(/.f64 (fma.f64 t (.f64 a -4) (/.f64 (fma.f64 x (.f64 9 y) b) z)) c)
	19.8b	(/.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
✓	0.1b	(fma.f64 x (*.f64 9 y) b)
✓	0.3b	(fma.f64 t (.f64 a -4) (/.f64 (fma.f64 x (.f64 9 y) b) z))
✓	2.2b	(/.f64 (fma.f64 x (*.f64 9 y) b) z)
✓	8.3b	(/.f64 (fma.f64 t (.f64 a -4) (/.f64 (fma.f64 x (.f64 9 y) b) z)) c)

series162.0ms (1.2%)

Counts

4 → 240

Calls

4 calls:

92.0ms	(/.f64 (fma.f64 t (.f64 a -4) (/.f64 (fma.f64 x (.f64 9 y) b) z)) c)
39.0ms	(fma.f64 t (.f64 a -4) (/.f64 (fma.f64 x (.f64 9 y) b) z))
22.0ms	(/.f64 (fma.f64 x (*.f64 9 y) b) z)
9.0ms	(fma.f64 x (*.f64 9 y) b)

rewrite74.0ms (0.5%)

Algorithm

2×	batch-egg-rewrite

Rules

334×	`prod-diff_binary64`
302×	`log1p-udef_binary64`
166×	`add-sqr-sqrt_binary64`
155×	`add-log-exp_binary64`
155×	`log1p-expm1-u_binary64`

Counts

4 → 116

Calls

4 calls:

71.0ms	(fma.f64 x (*.f64 9 y) b)
71.0ms	(fma.f64 t (.f64 a -4) (/.f64 (fma.f64 x (.f64 9 y) b) z))
71.0ms	(/.f64 (fma.f64 x (*.f64 9 y) b) z)
71.0ms	(/.f64 (fma.f64 t (.f64 a -4) (/.f64 (fma.f64 x (.f64 9 y) b) z)) c)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	58
1	330	58
2	3974	58
3	5104	58
0	0	0
1	0	0

simplify324.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

834×	`associate-/r/_binary64`
656×	`div-sub_binary64`
485×	`distribute-lft-neg-in_binary64`
456×	`unsub-neg_binary64`
438×	`fma-neg_binary64`

Counts

356 → 150

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	43	4761
1	113	4427
2	272	4179
3	715	3981
4	1384	3981
5	2458	3981
6	3473	3486
7	3933	3486
8	3923	3486
9	4058	3486
10	4127	3486
11	4143	3486
12	4865	3486
13	4928	3486

prune158.0ms (1.2%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	135	15	150
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	136	16	152

Error

4.4b

Counts

152 → 16

Alt Table

Status	Error	Program
	11.9b	(pow.f64 (cbrt.f64 (/.f64 (fma.f64 t (.f64 a -4) (/.f64 (fma.f64 x (.f64 9 y) b) z)) c)) 3)
	29.0b	(/.f64 (+.f64 (.f64 9 (.f64 y x)) b) (*.f64 c z))
	47.7b	(.f64 (/.f64 (sqrt.f64 (fma.f64 t (.f64 a -4) (/.f64 (fma.f64 x (.f64 9 y) b) z))) (cbrt.f64 (.f64 c c))) (/.f64 (sqrt.f64 (fma.f64 t (.f64 a -4) (/.f64 (fma.f64 x (.f64 9 y) b) z))) (cbrt.f64 c)))
	43.5b	(/.f64 b (*.f64 c z))
	11.9b	(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 t (.f64 a -4) (/.f64 (fma.f64 x (.f64 9 y) b) z))) 2) 1) (/.f64 (cbrt.f64 (fma.f64 t (.f64 a -4) (/.f64 (fma.f64 x (*.f64 9 y) b) z))) c))
	44.7b	(.f64 9 (/.f64 (.f64 y x) (*.f64 c z)))
	36.5b	(.f64 (/.f64 1 (sqrt.f64 c)) (/.f64 (fma.f64 t (.f64 a -4) (/.f64 (fma.f64 x (*.f64 9 y) b) z)) (sqrt.f64 c)))
	25.7b	(/.f64 (fma.f64 (*.f64 a t) -4 (/.f64 b z)) c)
	19.8b	(/.f64 (+.f64 (-.f64 (.f64 (.f64 x 9) y) (.f64 (.f64 (.f64 z 4) t) a)) b) (.f64 z c))
	30.0b	(/.f64 (/.f64 (fma.f64 9 (*.f64 y x) b) z) c)
	11.4b	(pow.f64 (/.f64 c (fma.f64 t (.f64 a -4) (/.f64 (fma.f64 x (.f64 9 y) b) z))) -1)
	31.4b	(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 t (.f64 a -4) (/.f64 (fma.f64 x (.f64 9 y) b) z))) 2) (cbrt.f64 (.f64 c c))) (cbrt.f64 (/.f64 (fma.f64 t (.f64 a -4) (/.f64 (fma.f64 x (.f64 9 y) b) z)) c)))
	30.0b	(/.f64 (+.f64 (.f64 9 (/.f64 (.f64 y x) z)) (/.f64 b z)) c)
	11.9b	(.f64 (pow.f64 (cbrt.f64 (fma.f64 t (.f64 a -4) (/.f64 (fma.f64 x (.f64 9 y) b) z))) 2) (.f64 (cbrt.f64 (fma.f64 t (.f64 a -4) (/.f64 (fma.f64 x (.f64 9 y) b) z))) (/.f64 1 c)))
▶	11.1b	(/.f64 (fma.f64 t (.f64 a -4) (.f64 (fma.f64 x (*.f64 9 y) b) (/.f64 1 z))) c)
	39.2b	(cbrt.f64 (pow.f64 (/.f64 (fma.f64 t (.f64 a -4) (/.f64 (fma.f64 x (.f64 9 y) b) z)) c) 3))

Compiler

Compiled 3795 to 2274 computations (40.1% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(fma.f64 x (*.f64 9 y) b)
✓	0.3b	(fma.f64 t (.f64 a -4) (.f64 (fma.f64 x (*.f64 9 y) b) (/.f64 1 z)))
✓	2.4b	(.f64 (fma.f64 x (.f64 9 y) b) (/.f64 1 z))
✓	8.3b	(/.f64 (fma.f64 t (.f64 a -4) (.f64 (fma.f64 x (*.f64 9 y) b) (/.f64 1 z))) c)

series140.0ms (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))) c)
37.0ms	(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))

rewrite74.0ms (0.5%)

Algorithm

2×	batch-egg-rewrite

Rules

427×	`prod-diff_binary64`
180×	`add-sqr-sqrt_binary64`
167×	`add-cbrt-cube_binary64`
167×	`add-log-exp_binary64`
167×	`log1p-expm1-u_binary64`

Counts

3 → 86

Calls

3 calls:

71.0ms	(fma.f64 t (.f64 a -4) (.f64 (fma.f64 x (*.f64 9 y) b) (/.f64 1 z)))
71.0ms	(.f64 (fma.f64 x (.f64 9 y) b) (/.f64 1 z))
71.0ms	(/.f64 (fma.f64 t (.f64 a -4) (.f64 (fma.f64 x (*.f64 9 y) b) (/.f64 1 z))) c)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	50
1	366	50
2	4199	50
3	4946	50
0	0	0
1	0	0

simplify314.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

834×	`associate-/r/_binary64`
656×	`div-sub_binary64`
485×	`distribute-lft-neg-in_binary64`
456×	`unsub-neg_binary64`
438×	`fma-neg_binary64`

Counts

290 → 116

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	43	4506
1	113	4172
2	272	3924
3	715	3726
4	1384	3726
5	2458	3726
6	3473	3231
7	3933	3231
8	3923	3231
9	4058	3231
10	4127	3231
11	4143	3231
12	4865	3231
13	4928	3231

prune157.0ms (1.2%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	144	0	144
Fresh	0	15	15
Picked	0	1	1
Done	0	0	0
Total	144	16	160

Error

4.4b

Counts

160 → 16

Alt Table

Status	Error	Program
	11.9b	(pow.f64 (cbrt.f64 (/.f64 (fma.f64 t (.f64 a -4) (/.f64 (fma.f64 x (.f64 9 y) b) z)) c)) 3)
	29.0b	(/.f64 (+.f64 (.f64 9 (.f64 y x)) b) (*.f64 c z))
	47.7b	(.f64 (/.f64 (sqrt.f64 (fma.f64 t (.f64 a -4) (/.f64 (fma.f64 x (.f64 9 y) b) z))) (cbrt.f64 (.f64 c c))) (/.f64 (sqrt.f64 (fma.f64 t (.f64 a -4) (/.f64 (fma.f64 x (.f64 9 y) b) z))) (cbrt.f64 c)))
	43.5b	(/.f64 b (*.f64 c z))
	11.9b	(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 t (.f64 a -4) (/.f64 (fma.f64 x (.f64 9 y) b) z))) 2) 1) (/.f64 (cbrt.f64 (fma.f64 t (.f64 a -4) (/.f64 (fma.f64 x (*.f64 9 y) b) z))) c))
	44.7b	(.f64 9 (/.f64 (.f64 y x) (*.f64 c z)))
	36.5b	(.f64 (/.f64 1 (sqrt.f64 c)) (/.f64 (fma.f64 t (.f64 a -4) (/.f64 (fma.f64 x (*.f64 9 y) b) z)) (sqrt.f64 c)))
	25.7b	(/.f64 (fma.f64 (*.f64 a t) -4 (/.f64 b z)) c)
	19.8b	(/.f64 (+.f64 (-.f64 (.f64 (.f64 x 9) y) (.f64 (.f64 (.f64 z 4) t) a)) b) (.f64 z c))
	30.0b	(/.f64 (/.f64 (fma.f64 9 (*.f64 y x) b) z) c)
▶	11.4b	(pow.f64 (/.f64 c (fma.f64 t (.f64 a -4) (/.f64 (fma.f64 x (.f64 9 y) b) z))) -1)
	31.4b	(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 t (.f64 a -4) (/.f64 (fma.f64 x (.f64 9 y) b) z))) 2) (cbrt.f64 (.f64 c c))) (cbrt.f64 (/.f64 (fma.f64 t (.f64 a -4) (/.f64 (fma.f64 x (.f64 9 y) b) z)) c)))
	30.0b	(/.f64 (+.f64 (.f64 9 (/.f64 (.f64 y x) z)) (/.f64 b z)) c)
	11.9b	(.f64 (pow.f64 (cbrt.f64 (fma.f64 t (.f64 a -4) (/.f64 (fma.f64 x (.f64 9 y) b) z))) 2) (.f64 (cbrt.f64 (fma.f64 t (.f64 a -4) (/.f64 (fma.f64 x (.f64 9 y) b) z))) (/.f64 1 c)))
✓	11.1b	(/.f64 (fma.f64 t (.f64 a -4) (.f64 (fma.f64 x (*.f64 9 y) b) (/.f64 1 z))) c)
	39.2b	(cbrt.f64 (pow.f64 (/.f64 (fma.f64 t (.f64 a -4) (/.f64 (fma.f64 x (.f64 9 y) b) z)) c) 3))

Compiler

Compiled 3646 to 2209 computations (39.4% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(fma.f64 t (.f64 a -4) (/.f64 (fma.f64 x (.f64 9 y) b) z))
✓	0.5b	(pow.f64 (/.f64 c (fma.f64 t (.f64 a -4) (/.f64 (fma.f64 x (.f64 9 y) b) z))) -1)
	2.2b	(/.f64 (fma.f64 x (*.f64 9 y) b) z)
✓	8.3b	(/.f64 c (fma.f64 t (.f64 a -4) (/.f64 (fma.f64 x (.f64 9 y) b) z)))

series3.4s (24.9%)

Counts

2 → 168

Calls

2 calls:

3.0s	(pow.f64 (/.f64 c (fma.f64 t (.f64 a -4) (/.f64 (fma.f64 x (.f64 9 y) b) z))) -1)
310.0ms	(/.f64 c (fma.f64 t (.f64 a -4) (/.f64 (fma.f64 x (.f64 9 y) b) z)))

rewrite82.0ms (0.6%)

Algorithm

2×	batch-egg-rewrite

Rules

334×	`prod-diff_binary64`
185×	`add-sqr-sqrt_binary64`
173×	`log1p-expm1-u_binary64`
173×	`expm1-log1p-u_binary64`
172×	`add-cbrt-cube_binary64`

Counts

2 → 77

Calls

2 calls:

77.0ms	(pow.f64 (/.f64 c (fma.f64 t (.f64 a -4) (/.f64 (fma.f64 x (.f64 9 y) b) z))) -1)
77.0ms	(/.f64 c (fma.f64 t (.f64 a -4) (/.f64 (fma.f64 x (.f64 9 y) b) z)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	45
1	372	42
2	4361	42
3	4907	42
0	0	0
1	0	0

simplify172.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

665×	`associate-/r*_binary64`
661×	`associate-/l*_binary64`
486×	`fma-def_binary64`
242×	`*-commutative_binary64`
151×	`+-commutative_binary64`

Counts

245 → 181

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	613	13115
1	2088	12751
2	5302	12751

prune351.0ms (2.6%)

Pruning

17 alts after pruning (15 fresh and 2 done)

	Pruned	Kept	Total
New	242	10	252
Fresh	9	5	14
Picked	0	1	1
Done	0	1	1
Total	251	17	268

Error

4.4b

Counts

268 → 17

Alt Table

Status	Error	Program
	29.3b	(pow.f64 (/.f64 c (fma.f64 t (.f64 a -4) (cbrt.f64 (pow.f64 (/.f64 (fma.f64 x (.f64 9 y) b) z) 3)))) -1)
	44.6b	(pow.f64 (/.f64 c (/.f64 b z)) -1)
	45.3b	(sqrt.f64 (pow.f64 (/.f64 c (fma.f64 t (.f64 a -4) (/.f64 (fma.f64 x (.f64 9 y) b) z))) -2))
	11.9b	(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 t (.f64 a -4) (/.f64 (fma.f64 x (.f64 9 y) b) z))) 2) 1) (/.f64 (cbrt.f64 (fma.f64 t (.f64 a -4) (/.f64 (fma.f64 x (*.f64 9 y) b) z))) c))
▶	11.3b	(/.f64 (/.f64 1 c) (/.f64 1 (fma.f64 t (.f64 a -4) (/.f64 (fma.f64 x (.f64 9 y) b) z))))
	25.7b	(/.f64 (fma.f64 (*.f64 a t) -4 (/.f64 b z)) c)
	19.8b	(/.f64 (+.f64 (-.f64 (.f64 (.f64 x 9) y) (.f64 (.f64 (.f64 z 4) t) a)) b) (.f64 z c))
	45.2b	(pow.f64 (.f64 1/9 (/.f64 c (/.f64 (.f64 y x) z))) -1)
	30.0b	(/.f64 (fma.f64 9 (/.f64 (*.f64 y x) z) (/.f64 b z)) c)
	29.1b	(pow.f64 (/.f64 (.f64 c z) (fma.f64 9 (.f64 y x) b)) -1)
✓	11.4b	(pow.f64 (/.f64 c (fma.f64 t (.f64 a -4) (/.f64 (fma.f64 x (.f64 9 y) b) z))) -1)
	11.9b	(pow.f64 (cbrt.f64 (/.f64 (fma.f64 t (.f64 a -4) (/.f64 (fma.f64 x (.f64 9 y) b) z)) c)) 3)
	53.5b	(pow.f64 (-.f64 (+.f64 (.f64 1/9 (/.f64 (.f64 c z) (.f64 y x))) (.f64 4/81 (/.f64 (.f64 c (.f64 a (.f64 t (pow.f64 z 2)))) (.f64 (pow.f64 y 2) (pow.f64 x 2))))) (.f64 1/81 (/.f64 (.f64 c (.f64 z b)) (.f64 (pow.f64 y 2) (pow.f64 x 2))))) -1)
	11.8b	(pow.f64 (/.f64 c (fma.f64 t (.f64 a -4) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x (.f64 9 y) b) z)) 3))) -1)
	36.5b	(/.f64 (/.f64 (fma.f64 t (.f64 a -4) (/.f64 (fma.f64 x (.f64 9 y) b) z)) (sqrt.f64 c)) (sqrt.f64 c))
	11.9b	(.f64 (pow.f64 (cbrt.f64 (fma.f64 t (.f64 a -4) (/.f64 (fma.f64 x (.f64 9 y) b) z))) 2) (.f64 (cbrt.f64 (fma.f64 t (.f64 a -4) (/.f64 (fma.f64 x (.f64 9 y) b) z))) (/.f64 1 c)))
✓	11.1b	(/.f64 (fma.f64 t (.f64 a -4) (.f64 (fma.f64 x (*.f64 9 y) b) (/.f64 1 z))) c)

Compiler

Compiled 13215 to 7266 computations (45% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(fma.f64 t (.f64 a -4) (/.f64 (fma.f64 x (.f64 9 y) b) z))
✓	0.8b	(/.f64 1 (fma.f64 t (.f64 a -4) (/.f64 (fma.f64 x (.f64 9 y) b) z)))
	2.2b	(/.f64 (fma.f64 x (*.f64 9 y) b) z)
✓	7.8b	(/.f64 (/.f64 1 c) (/.f64 1 (fma.f64 t (.f64 a -4) (/.f64 (fma.f64 x (.f64 9 y) b) z))))

series230.0ms (1.7%)

Counts

2 → 156

Calls

2 calls:

141.0ms	(/.f64 1 (fma.f64 t (.f64 a -4) (/.f64 (fma.f64 x (.f64 9 y) b) z)))
88.0ms	(/.f64 (/.f64 1 c) (/.f64 1 (fma.f64 t (.f64 a -4) (/.f64 (fma.f64 x (.f64 9 y) b) z))))

rewrite75.0ms (0.6%)

Algorithm

2×	batch-egg-rewrite

Rules

348×	`prod-diff_binary64`
196×	`add-sqr-sqrt_binary64`
183×	`log1p-expm1-u_binary64`
183×	`expm1-log1p-u_binary64`
182×	`add-cbrt-cube_binary64`

Counts

2 → 63

Calls

2 calls:

73.0ms	(/.f64 1 (fma.f64 t (.f64 a -4) (/.f64 (fma.f64 x (.f64 9 y) b) z)))
73.0ms	(/.f64 (/.f64 1 c) (/.f64 1 (fma.f64 t (.f64 a -4) (/.f64 (fma.f64 x (.f64 9 y) b) z))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	48
1	397	42
2	4660	42
3	5249	42
0	0	0
1	0	0

simplify139.0ms (1%)

Algorithm

1×	egg-herbie

Rules

638×	`times-frac_binary64`
419×	`associate-/r*_binary64`
389×	`associate-/l*_binary64`
317×	`fma-def_binary64`
240×	`associate-l_binary64`

Counts

219 → 142

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	400	9440
1	1338	9114
2	5023	9114

prune260.0ms (1.9%)

Pruning

15 alts after pruning (12 fresh and 3 done)

	Pruned	Kept	Total
New	211	2	213
Fresh	4	10	14
Picked	0	1	1
Done	0	2	2
Total	215	15	230

Error

4.4b

Counts

230 → 15

Alt Table

Status	Error	Program
	29.3b	(pow.f64 (/.f64 c (fma.f64 t (.f64 a -4) (cbrt.f64 (pow.f64 (/.f64 (fma.f64 x (.f64 9 y) b) z) 3)))) -1)
	29.6b	(/.f64 (/.f64 1 c) (/.f64 z (+.f64 (.f64 9 (.f64 y x)) b)))
	44.6b	(pow.f64 (/.f64 c (/.f64 b z)) -1)
✓	11.3b	(/.f64 (/.f64 1 c) (/.f64 1 (fma.f64 t (.f64 a -4) (/.f64 (fma.f64 x (.f64 9 y) b) z))))
	25.7b	(/.f64 (fma.f64 (*.f64 a t) -4 (/.f64 b z)) c)
	19.8b	(/.f64 (+.f64 (-.f64 (.f64 (.f64 x 9) y) (.f64 (.f64 (.f64 z 4) t) a)) b) (.f64 z c))
	45.2b	(pow.f64 (.f64 1/9 (/.f64 c (/.f64 (.f64 y x) z))) -1)
✓	11.4b	(pow.f64 (/.f64 c (fma.f64 t (.f64 a -4) (/.f64 (fma.f64 x (.f64 9 y) b) z))) -1)
	44.8b	(/.f64 (/.f64 1 c) (sqrt.f64 (pow.f64 (fma.f64 t (.f64 a -4) (/.f64 (fma.f64 x (.f64 9 y) b) z)) -2)))
	11.9b	(pow.f64 (cbrt.f64 (/.f64 (fma.f64 t (.f64 a -4) (/.f64 (fma.f64 x (.f64 9 y) b) z)) c)) 3)
	53.5b	(pow.f64 (-.f64 (+.f64 (.f64 1/9 (/.f64 (.f64 c z) (.f64 y x))) (.f64 4/81 (/.f64 (.f64 c (.f64 a (.f64 t (pow.f64 z 2)))) (.f64 (pow.f64 y 2) (pow.f64 x 2))))) (.f64 1/81 (/.f64 (.f64 c (.f64 z b)) (.f64 (pow.f64 y 2) (pow.f64 x 2))))) -1)
	36.5b	(/.f64 (/.f64 (fma.f64 t (.f64 a -4) (/.f64 (fma.f64 x (.f64 9 y) b) z)) (sqrt.f64 c)) (sqrt.f64 c))
	11.9b	(.f64 (pow.f64 (cbrt.f64 (fma.f64 t (.f64 a -4) (/.f64 (fma.f64 x (.f64 9 y) b) z))) 2) (.f64 (cbrt.f64 (fma.f64 t (.f64 a -4) (/.f64 (fma.f64 x (.f64 9 y) b) z))) (/.f64 1 c)))
✓	11.1b	(/.f64 (fma.f64 t (.f64 a -4) (.f64 (fma.f64 x (*.f64 9 y) b) (/.f64 1 z))) c)
	29.1b	(pow.f64 (/.f64 (.f64 c z) (fma.f64 9 (.f64 y x) b)) -1)

Compiler

Compiled 8957 to 5398 computations (39.7% saved)

regimes2.0s (15.1%)

Accuracy

Total 2.2b remaining (27.1%)

Threshold costs 0b (0%)

Counts

128 → 5

Compiler

Compiled 33680 to 24132 computations (28.3% saved)

bsearch5.0ms (0%)

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

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

19×	`*-commutative_binary64`
9×	`+-commutative_binary64`
7×	`sub-neg_binary64`
6×	`distribute-rgt-neg-in_binary64`
6×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	258
1	76	258
2	90	258
3	106	258
4	116	258
5	121	258
6	122	258
7	120	258

end800.0ms (5.9%)

Remove: (sort t a)
Compiler: Compiled 1845 to 1144 computations (38% saved)

Details

analyze2.2s (16.6%)

sample2.2s (16.6%)

simplify61.0ms (0.5%)

prune5.0ms (0%)

localize11.0ms (0.1%)

series162.0ms (1.2%)

rewrite74.0ms (0.5%)

simplify324.0ms (2.4%)

prune158.0ms (1.2%)

localize12.0ms (0.1%)

series140.0ms (1%)

rewrite74.0ms (0.5%)

simplify314.0ms (2.3%)

prune157.0ms (1.2%)

localize12.0ms (0.1%)

series3.4s (24.9%)

rewrite82.0ms (0.6%)

simplify172.0ms (1.3%)

prune351.0ms (2.6%)

localize13.0ms (0.1%)

series230.0ms (1.7%)

rewrite75.0ms (0.6%)

simplify139.0ms (1%)

prune260.0ms (1.9%)

regimes2.0s (15.1%)

bsearch5.0ms (0%)

simplify11.0ms (0.1%)

end800.0ms (5.9%)

Profiling