Details

analyze953.0ms (10.8%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
6.2%	93.6%	0.2%	9
6.2%	82.7%	11.1%	10
12.5%	73.7%	13.8%	11
15.6%	59.5%	25%	12
17.9%	53.3%	28.8%	13
22.4%	47.2%	30.4%	14

Compiler

Compiled 18 to 12 computations (33.3% saved)

sample1.6s (17.7%)

Results

977.0ms	8256×	body	128	valid
352.0ms	3052×	body	128	invalid

Compiler

Compiled 53 to 35 computations (34% saved)

simplify63.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

853×	`fma-neg_binary64`
525×	`fma-def_binary64`
182×	`cancel-sign-sub-inv_binary64`
160×	`associate-l_binary64`
154×	`distribute-rgt-in_binary64`

Counts

1 → 2

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	19
1	25	17
2	72	17
3	227	17
4	512	17
5	1044	17
6	1436	17
7	1492	17
8	1573	17
9	1615	17
10	1631	17
11	1631	17
12	1550	17

prune6.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

6.6b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	6.6b	(fma.f64 y (.f64 4 (-.f64 t (.f64 z z))) (*.f64 x x))

Compiler

Compiled 61 to 35 computations (42.6% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 t (*.f64 z z))
✓	6.1b	(fma.f64 y (.f64 4 (-.f64 t (.f64 z z))) (*.f64 x x))

series34.0ms (0.4%)

Counts

2 → 72

Calls

2 calls:

30.0ms	(fma.f64 y (.f64 4 (-.f64 t (.f64 z z))) (*.f64 x x))
4.0ms	(-.f64 t (*.f64 z z))

rewrite4.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

5×	`add-sqr-sqrt_binary64`
4×	`*-un-lft-identity_binary64`
4×	`add-cube-cbrt_binary64`
4×	`add-log-exp_binary64`
3×	`fma-neg_binary64`

Counts

2 → 31

Calls

2 calls:

2.0ms	(-.f64 t (*.f64 z z))
0.0ms	(fma.f64 y (.f64 4 (-.f64 t (.f64 z z))) (*.f64 x x))

simplify74.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

703×	`distribute-rgt-in_binary64`
653×	`distribute-lft-in_binary64`
495×	`fma-neg_binary64`
369×	`exp-prod_binary64`
193×	`fma-def_binary64`

Counts

103 → 64

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	80	1591
1	187	1301
2	431	1282
3	1535	1282
4	4588	1282
5	5085	1282

prune52.0ms (0.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	58	6	64
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	58	7	65

Error

6.1b

Counts

65 → 7

Alt Table

Status	Error	Program
	25.5b	(fma.f64 y (.f64 4 (/.f64 (-.f64 (.f64 t t) (pow.f64 z 4)) (fma.f64 z z t))) (*.f64 x x))
	42.4b	(pow.f64 x 2)
▶	7.3b	(fma.f64 y (.f64 4 (.f64 (.f64 (cbrt.f64 (-.f64 t (.f64 z z))) (cbrt.f64 (-.f64 t (.f64 z z)))) (cbrt.f64 (-.f64 t (.f64 z z))))) (*.f64 x x))
	21.7b	(.f64 (sqrt.f64 (fma.f64 y (.f64 4 (-.f64 t (.f64 z z))) (.f64 x x))) (sqrt.f64 (fma.f64 y (.f64 4 (-.f64 t (.f64 z z))) (*.f64 x x))))
	7.7b	(.f64 (.f64 (cbrt.f64 (fma.f64 y (.f64 4 (-.f64 t (.f64 z z))) (.f64 x x))) (cbrt.f64 (fma.f64 y (.f64 4 (-.f64 t (.f64 z z))) (.f64 x x)))) (cbrt.f64 (fma.f64 y (.f64 4 (-.f64 t (.f64 z z))) (*.f64 x x))))
	39.9b	(.f64 4 (.f64 y t))
✓	6.6b	(fma.f64 y (.f64 4 (-.f64 t (.f64 z z))) (*.f64 x x))

Compiler

Compiled 1343 to 537 computations (60% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (.f64 (cbrt.f64 (-.f64 t (.f64 z z))) (cbrt.f64 (-.f64 t (.f64 z z)))) (cbrt.f64 (-.f64 t (*.f64 z z))))
✓	0.5b	(.f64 (cbrt.f64 (-.f64 t (.f64 z z))) (cbrt.f64 (-.f64 t (*.f64 z z))))
✓	6.1b	(fma.f64 y (.f64 4 (.f64 (.f64 (cbrt.f64 (-.f64 t (.f64 z z))) (cbrt.f64 (-.f64 t (.f64 z z)))) (cbrt.f64 (-.f64 t (.f64 z z))))) (*.f64 x x))
✓	6.7b	(cbrt.f64 (-.f64 t (*.f64 z z)))

series126.0ms (1.4%)

Counts

4 → 120

Calls

4 calls:

44.0ms	(fma.f64 y (.f64 4 (.f64 (.f64 (cbrt.f64 (-.f64 t (.f64 z z))) (cbrt.f64 (-.f64 t (.f64 z z)))) (cbrt.f64 (-.f64 t (.f64 z z))))) (*.f64 x x))
38.0ms	(.f64 (cbrt.f64 (-.f64 t (.f64 z z))) (cbrt.f64 (-.f64 t (*.f64 z z))))
30.0ms	(cbrt.f64 (-.f64 t (*.f64 z z)))
14.0ms	(.f64 (.f64 (cbrt.f64 (-.f64 t (.f64 z z))) (cbrt.f64 (-.f64 t (.f64 z z)))) (cbrt.f64 (-.f64 t (*.f64 z z))))

rewrite37.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

68×	`cbrt-div_binary64`
34×	`flip--_binary64`
34×	`flip3--_binary64`
32×	`frac-times_binary64`
31×	`add-sqr-sqrt_binary64`

Counts

4 → 144

Calls

4 calls:

13.0ms	(.f64 (.f64 (cbrt.f64 (-.f64 t (.f64 z z))) (cbrt.f64 (-.f64 t (.f64 z z)))) (cbrt.f64 (-.f64 t (*.f64 z z))))
7.0ms	(.f64 (cbrt.f64 (-.f64 t (.f64 z z))) (cbrt.f64 (-.f64 t (*.f64 z z))))
2.0ms	(cbrt.f64 (-.f64 t (*.f64 z z)))
0.0ms	(fma.f64 y (.f64 4 (.f64 (.f64 (cbrt.f64 (-.f64 t (.f64 z z))) (cbrt.f64 (-.f64 t (.f64 z z)))) (cbrt.f64 (-.f64 t (.f64 z z))))) (*.f64 x x))

simplify425.0ms (4.8%)

Algorithm

1×	egg-herbie

Rules

935×	`times-frac_binary64`
348×	`associate-r_binary64`
294×	`associate-l_binary64`
294×	`fma-neg_binary64`
191×	`*-commutative_binary64`

Counts

264 → 286

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	366	6920
1	898	6367
2	3025	6113
3	4983	6113
4	4991	6113

prune363.0ms (4.1%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	406	2	408
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	406	9	415

Error

6.1b

Counts

415 → 9

Alt Table

Status	Error	Program
	7.9b	(.f64 (.f64 (cbrt.f64 (fma.f64 y (.f64 4 (.f64 (.f64 (cbrt.f64 (-.f64 t (.f64 z z))) (cbrt.f64 (-.f64 t (.f64 z z)))) (cbrt.f64 (-.f64 t (.f64 z z))))) (.f64 x x))) (cbrt.f64 (fma.f64 y (.f64 4 (.f64 (.f64 (cbrt.f64 (-.f64 t (.f64 z z))) (cbrt.f64 (-.f64 t (.f64 z z)))) (cbrt.f64 (-.f64 t (.f64 z z))))) (.f64 x x)))) (cbrt.f64 (fma.f64 y (.f64 4 (.f64 (.f64 (cbrt.f64 (-.f64 t (.f64 z z))) (cbrt.f64 (-.f64 t (.f64 z z)))) (cbrt.f64 (-.f64 t (.f64 z z))))) (*.f64 x x))))
	25.5b	(fma.f64 y (.f64 4 (/.f64 (-.f64 (.f64 t t) (pow.f64 z 4)) (fma.f64 z z t))) (*.f64 x x))
	42.4b	(pow.f64 x 2)
	26.0b	(fma.f64 y (.f64 4 (/.f64 (.f64 (.f64 (cbrt.f64 (-.f64 (.f64 t t) (.f64 (.f64 z z) (.f64 z z)))) (cbrt.f64 (-.f64 (.f64 t t) (.f64 (.f64 z z) (.f64 z z))))) (cbrt.f64 (-.f64 (.f64 t t) (.f64 (.f64 z z) (.f64 z z))))) (.f64 (.f64 (cbrt.f64 (+.f64 t (.f64 z z))) (cbrt.f64 (+.f64 t (.f64 z z)))) (cbrt.f64 (+.f64 t (.f64 z z)))))) (*.f64 x x))
✓	7.3b	(fma.f64 y (.f64 4 (.f64 (.f64 (cbrt.f64 (-.f64 t (.f64 z z))) (cbrt.f64 (-.f64 t (.f64 z z)))) (cbrt.f64 (-.f64 t (.f64 z z))))) (*.f64 x x))
	21.7b	(.f64 (sqrt.f64 (fma.f64 y (.f64 4 (-.f64 t (.f64 z z))) (.f64 x x))) (sqrt.f64 (fma.f64 y (.f64 4 (-.f64 t (.f64 z z))) (*.f64 x x))))
▶	7.7b	(.f64 (.f64 (cbrt.f64 (fma.f64 y (.f64 4 (-.f64 t (.f64 z z))) (.f64 x x))) (cbrt.f64 (fma.f64 y (.f64 4 (-.f64 t (.f64 z z))) (.f64 x x)))) (cbrt.f64 (fma.f64 y (.f64 4 (-.f64 t (.f64 z z))) (*.f64 x x))))
	39.9b	(.f64 4 (.f64 y t))
✓	6.6b	(fma.f64 y (.f64 4 (-.f64 t (.f64 z z))) (*.f64 x x))

Compiler

Compiled 17443 to 6578 computations (62.3% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (.f64 (cbrt.f64 (fma.f64 y (.f64 4 (-.f64 t (.f64 z z))) (.f64 x x))) (cbrt.f64 (fma.f64 y (.f64 4 (-.f64 t (.f64 z z))) (.f64 x x)))) (cbrt.f64 (fma.f64 y (.f64 4 (-.f64 t (.f64 z z))) (*.f64 x x))))
✓	0.5b	(.f64 (cbrt.f64 (fma.f64 y (.f64 4 (-.f64 t (.f64 z z))) (.f64 x x))) (cbrt.f64 (fma.f64 y (.f64 4 (-.f64 t (.f64 z z))) (*.f64 x x))))
✓	1.0b	(cbrt.f64 (fma.f64 y (.f64 4 (-.f64 t (.f64 z z))) (*.f64 x x)))
	6.1b	(fma.f64 y (.f64 4 (-.f64 t (.f64 z z))) (*.f64 x x))

series476.0ms (5.4%)

Counts

3 → 144

Calls

3 calls:

307.0ms

(*.f64 (cbrt.f64 (fma.f64 y (*.f64 4 (-.f64 t (*.f64 z z))) (*.f64 x x))) (cbrt.f64 (fma.f64 y (*.f64 4 (-.f64 t (*.f64 z z))) (*.f64 x x))))

136.0ms

(cbrt.f64 (fma.f64 y (*.f64 4 (-.f64 t (*.f64 z z))) (*.f64 x x)))

31.0ms

(*.f64 (*.f64 (cbrt.f64 (fma.f64 y (*.f64 4 (-.f64 t (*.f64 z z))) (*.f64 x x))) (cbrt.f64 (fma.f64 y (*.f64 4 (-.f64 t (*.f64 z z))) (*.f64 x x)))) (cbrt.f64 (fma.f64 y (*.f64 4 (-.f64 t (*.f64 z z))) (*.f64 x x))))

rewrite23.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

29×	`pow1_binary64`
24×	`add-sqr-sqrt_binary64`
23×	`cbrt-prod_binary64`
16×	`pow1/3_binary64`
14×	`*-un-lft-identity_binary64`

Counts

3 → 93

Calls

3 calls:

7.0ms

(*.f64 (*.f64 (cbrt.f64 (fma.f64 y (*.f64 4 (-.f64 t (*.f64 z z))) (*.f64 x x))) (cbrt.f64 (fma.f64 y (*.f64 4 (-.f64 t (*.f64 z z))) (*.f64 x x)))) (cbrt.f64 (fma.f64 y (*.f64 4 (-.f64 t (*.f64 z z))) (*.f64 x x))))

5.0ms

(*.f64 (cbrt.f64 (fma.f64 y (*.f64 4 (-.f64 t (*.f64 z z))) (*.f64 x x))) (cbrt.f64 (fma.f64 y (*.f64 4 (-.f64 t (*.f64 z z))) (*.f64 x x))))

1.0ms

(cbrt.f64 (fma.f64 y (*.f64 4 (-.f64 t (*.f64 z z))) (*.f64 x x)))

simplify309.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

478×	`*-commutative_binary64`
220×	`+-commutative_binary64`
212×	`cancel-sign-sub-inv_binary64`
207×	`fma-def_binary64`
195×	`sub-neg_binary64`

Counts

237 → 282

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1128	19837
1	3968	19315
2	5082	19315

prune924.0ms (10.5%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	567	2	569
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	567	11	578

Error

6.1b

Counts

578 → 11

Alt Table

Status	Error	Program
▶	7.9b	(.f64 (.f64 (cbrt.f64 (fma.f64 y (.f64 4 (.f64 (.f64 (cbrt.f64 (-.f64 t (.f64 z z))) (cbrt.f64 (-.f64 t (.f64 z z)))) (cbrt.f64 (-.f64 t (.f64 z z))))) (.f64 x x))) (cbrt.f64 (fma.f64 y (.f64 4 (.f64 (.f64 (cbrt.f64 (-.f64 t (.f64 z z))) (cbrt.f64 (-.f64 t (.f64 z z)))) (cbrt.f64 (-.f64 t (.f64 z z))))) (.f64 x x)))) (cbrt.f64 (fma.f64 y (.f64 4 (.f64 (.f64 (cbrt.f64 (-.f64 t (.f64 z z))) (cbrt.f64 (-.f64 t (.f64 z z)))) (cbrt.f64 (-.f64 t (.f64 z z))))) (*.f64 x x))))
	25.5b	(fma.f64 y (.f64 4 (/.f64 (-.f64 (.f64 t t) (pow.f64 z 4)) (fma.f64 z z t))) (*.f64 x x))
	42.4b	(pow.f64 x 2)
	26.0b	(fma.f64 y (.f64 4 (/.f64 (.f64 (.f64 (cbrt.f64 (-.f64 (.f64 t t) (.f64 (.f64 z z) (.f64 z z)))) (cbrt.f64 (-.f64 (.f64 t t) (.f64 (.f64 z z) (.f64 z z))))) (cbrt.f64 (-.f64 (.f64 t t) (.f64 (.f64 z z) (.f64 z z))))) (.f64 (.f64 (cbrt.f64 (+.f64 t (.f64 z z))) (cbrt.f64 (+.f64 t (.f64 z z)))) (cbrt.f64 (+.f64 t (.f64 z z)))))) (*.f64 x x))
✓	7.3b	(fma.f64 y (.f64 4 (.f64 (.f64 (cbrt.f64 (-.f64 t (.f64 z z))) (cbrt.f64 (-.f64 t (.f64 z z)))) (cbrt.f64 (-.f64 t (.f64 z z))))) (*.f64 x x))
	21.7b	(.f64 (sqrt.f64 (fma.f64 y (.f64 4 (-.f64 t (.f64 z z))) (.f64 x x))) (sqrt.f64 (fma.f64 y (.f64 4 (-.f64 t (.f64 z z))) (*.f64 x x))))
✓	7.7b	(.f64 (.f64 (cbrt.f64 (fma.f64 y (.f64 4 (-.f64 t (.f64 z z))) (.f64 x x))) (cbrt.f64 (fma.f64 y (.f64 4 (-.f64 t (.f64 z z))) (.f64 x x)))) (cbrt.f64 (fma.f64 y (.f64 4 (-.f64 t (.f64 z z))) (*.f64 x x))))
	44.3b	(.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 x x) (.f64 4 (.f64 y (.f64 z z)))) 2)) (cbrt.f64 (fma.f64 y (.f64 4 (-.f64 t (.f64 z z))) (.f64 x x))))
	39.9b	(.f64 4 (.f64 y t))
✓	6.6b	(fma.f64 y (.f64 4 (-.f64 t (.f64 z z))) (*.f64 x x))
	43.7b	(cbrt.f64 (.f64 (.f64 (.f64 (.f64 (cbrt.f64 (fma.f64 y (.f64 4 (-.f64 t (.f64 z z))) (.f64 x x))) (cbrt.f64 (fma.f64 y (.f64 4 (-.f64 t (.f64 z z))) (.f64 x x)))) (cbrt.f64 (fma.f64 y (.f64 4 (-.f64 t (.f64 z z))) (.f64 x x)))) (.f64 (.f64 (cbrt.f64 (fma.f64 y (.f64 4 (-.f64 t (.f64 z z))) (.f64 x x))) (cbrt.f64 (fma.f64 y (.f64 4 (-.f64 t (.f64 z z))) (.f64 x x)))) (cbrt.f64 (fma.f64 y (.f64 4 (-.f64 t (.f64 z z))) (.f64 x x))))) (.f64 (.f64 (cbrt.f64 (fma.f64 y (.f64 4 (-.f64 t (.f64 z z))) (.f64 x x))) (cbrt.f64 (fma.f64 y (.f64 4 (-.f64 t (.f64 z z))) (.f64 x x)))) (cbrt.f64 (fma.f64 y (.f64 4 (-.f64 t (.f64 z z))) (*.f64 x x))))))

Compiler

Compiled 52067 to 30067 computations (42.3% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.5b	(.f64 (cbrt.f64 (-.f64 t (.f64 z z))) (cbrt.f64 (-.f64 t (*.f64 z z))))
✓	1.0b	(cbrt.f64 (fma.f64 y (.f64 4 (.f64 (.f64 (cbrt.f64 (-.f64 t (.f64 z z))) (cbrt.f64 (-.f64 t (.f64 z z)))) (cbrt.f64 (-.f64 t (.f64 z z))))) (*.f64 x x)))
	6.1b	(fma.f64 y (.f64 4 (.f64 (.f64 (cbrt.f64 (-.f64 t (.f64 z z))) (cbrt.f64 (-.f64 t (.f64 z z)))) (cbrt.f64 (-.f64 t (.f64 z z))))) (*.f64 x x))
	6.7b	(cbrt.f64 (-.f64 t (*.f64 z z)))

series146.0ms (1.7%)

Counts

1 → 48

Calls

1 calls:

145.0ms

(cbrt.f64 (fma.f64 y (*.f64 4 (*.f64 (*.f64 (cbrt.f64 (-.f64 t (*.f64 z z))) (cbrt.f64 (-.f64 t (*.f64 z z)))) (cbrt.f64 (-.f64 t (*.f64 z z))))) (*.f64 x x)))

rewrite1.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`cbrt-prod_binary64`
2×	`*-un-lft-identity_binary64`
2×	`add-sqr-sqrt_binary64`
2×	`add-cube-cbrt_binary64`
1×	`add-cbrt-cube_binary64`

Counts

1 → 13

Calls

1 calls:

1.0ms

(cbrt.f64 (fma.f64 y (*.f64 4 (*.f64 (*.f64 (cbrt.f64 (-.f64 t (*.f64 z z))) (cbrt.f64 (-.f64 t (*.f64 z z)))) (cbrt.f64 (-.f64 t (*.f64 z z))))) (*.f64 x x)))

simplify103.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

414×	`times-frac_binary64`
349×	`fma-def_binary64`
336×	`associate-l_binary64`
322×	`associate-/r*_binary64`
290×	`associate-/l*_binary64`

Counts

61 → 103

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	456	5977
1	1558	5763
2	5110	5763

prune1.6s (18%)

Pruning

12 alts after pruning (8 fresh and 4 done)

	Pruned	Kept	Total
New	1262	1	1263
Fresh	0	7	7
Picked	0	1	1
Done	0	3	3
Total	1262	12	1274

Error

6.1b

Counts

1274 → 12

Alt Table

Status	Error	Program
✓	7.9b	(.f64 (.f64 (cbrt.f64 (fma.f64 y (.f64 4 (.f64 (.f64 (cbrt.f64 (-.f64 t (.f64 z z))) (cbrt.f64 (-.f64 t (.f64 z z)))) (cbrt.f64 (-.f64 t (.f64 z z))))) (.f64 x x))) (cbrt.f64 (fma.f64 y (.f64 4 (.f64 (.f64 (cbrt.f64 (-.f64 t (.f64 z z))) (cbrt.f64 (-.f64 t (.f64 z z)))) (cbrt.f64 (-.f64 t (.f64 z z))))) (.f64 x x)))) (cbrt.f64 (fma.f64 y (.f64 4 (.f64 (.f64 (cbrt.f64 (-.f64 t (.f64 z z))) (cbrt.f64 (-.f64 t (.f64 z z)))) (cbrt.f64 (-.f64 t (.f64 z z))))) (*.f64 x x))))
	25.5b	(fma.f64 y (.f64 4 (/.f64 (-.f64 (.f64 t t) (pow.f64 z 4)) (fma.f64 z z t))) (*.f64 x x))
	42.4b	(pow.f64 x 2)
	26.0b	(fma.f64 y (.f64 4 (/.f64 (.f64 (.f64 (cbrt.f64 (-.f64 (.f64 t t) (.f64 (.f64 z z) (.f64 z z)))) (cbrt.f64 (-.f64 (.f64 t t) (.f64 (.f64 z z) (.f64 z z))))) (cbrt.f64 (-.f64 (.f64 t t) (.f64 (.f64 z z) (.f64 z z))))) (.f64 (.f64 (cbrt.f64 (+.f64 t (.f64 z z))) (cbrt.f64 (+.f64 t (.f64 z z)))) (cbrt.f64 (+.f64 t (.f64 z z)))))) (*.f64 x x))
✓	7.3b	(fma.f64 y (.f64 4 (.f64 (.f64 (cbrt.f64 (-.f64 t (.f64 z z))) (cbrt.f64 (-.f64 t (.f64 z z)))) (cbrt.f64 (-.f64 t (.f64 z z))))) (*.f64 x x))
	21.7b	(.f64 (sqrt.f64 (fma.f64 y (.f64 4 (-.f64 t (.f64 z z))) (.f64 x x))) (sqrt.f64 (fma.f64 y (.f64 4 (-.f64 t (.f64 z z))) (*.f64 x x))))
✓	7.7b	(.f64 (.f64 (cbrt.f64 (fma.f64 y (.f64 4 (-.f64 t (.f64 z z))) (.f64 x x))) (cbrt.f64 (fma.f64 y (.f64 4 (-.f64 t (.f64 z z))) (.f64 x x)))) (cbrt.f64 (fma.f64 y (.f64 4 (-.f64 t (.f64 z z))) (*.f64 x x))))
	7.9b	(.f64 (.f64 (cbrt.f64 (fma.f64 y (.f64 4 (.f64 (.f64 (cbrt.f64 (-.f64 t (.f64 z z))) (cbrt.f64 (-.f64 t (.f64 z z)))) (cbrt.f64 (-.f64 t (.f64 z z))))) (.f64 x x))) (cbrt.f64 (fma.f64 y (.f64 4 (.f64 (.f64 (cbrt.f64 (-.f64 t (.f64 z z))) (cbrt.f64 (-.f64 t (.f64 z z)))) (cbrt.f64 (-.f64 t (.f64 z z))))) (.f64 x x)))) (cbrt.f64 (fma.f64 y (.f64 4 (.f64 (.f64 (cbrt.f64 (-.f64 t (.f64 z z))) (cbrt.f64 (-.f64 t (.f64 z z)))) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 t (.f64 z z)))) 6)) (cbrt.f64 (cbrt.f64 (-.f64 t (.f64 z z))))))) (*.f64 x x))))
	44.3b	(.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 x x) (.f64 4 (.f64 y (.f64 z z)))) 2)) (cbrt.f64 (fma.f64 y (.f64 4 (-.f64 t (.f64 z z))) (.f64 x x))))
	39.9b	(.f64 4 (.f64 y t))
✓	6.6b	(fma.f64 y (.f64 4 (-.f64 t (.f64 z z))) (*.f64 x x))
	43.7b	(cbrt.f64 (.f64 (.f64 (.f64 (.f64 (cbrt.f64 (fma.f64 y (.f64 4 (-.f64 t (.f64 z z))) (.f64 x x))) (cbrt.f64 (fma.f64 y (.f64 4 (-.f64 t (.f64 z z))) (.f64 x x)))) (cbrt.f64 (fma.f64 y (.f64 4 (-.f64 t (.f64 z z))) (.f64 x x)))) (.f64 (.f64 (cbrt.f64 (fma.f64 y (.f64 4 (-.f64 t (.f64 z z))) (.f64 x x))) (cbrt.f64 (fma.f64 y (.f64 4 (-.f64 t (.f64 z z))) (.f64 x x)))) (cbrt.f64 (fma.f64 y (.f64 4 (-.f64 t (.f64 z z))) (.f64 x x))))) (.f64 (.f64 (cbrt.f64 (fma.f64 y (.f64 4 (-.f64 t (.f64 z z))) (.f64 x x))) (cbrt.f64 (fma.f64 y (.f64 4 (-.f64 t (.f64 z z))) (.f64 x x)))) (cbrt.f64 (fma.f64 y (.f64 4 (-.f64 t (.f64 z z))) (*.f64 x x))))))

Compiler

Compiled 136307 to 44427 computations (67.4% saved)

regimes1.3s (14.7%)

Accuracy

Total 0.9b remaining (14.1%)

Threshold costs 0.9b (14.1%)

Counts

97 → 1

Compiler

Compiled 41168 to 18769 computations (54.4% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

3×	`+-commutative_binary64`
3×	`*-commutative_binary64`
3×	`sub-neg_binary64`
2×	`neg-sub0_binary64`
2×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	17
1	17	17
2	24	17
3	28	17
4	30	17
5	30	17

end200.0ms (2.3%)

Compiler: Compiled 618 to 252 computations (59.2% saved)

Details

analyze953.0ms (10.8%)

sample1.6s (17.7%)

simplify63.0ms (0.7%)

prune6.0ms (0.1%)

localize7.0ms (0.1%)

series34.0ms (0.4%)

rewrite4.0ms (0%)

simplify74.0ms (0.8%)

prune52.0ms (0.6%)

localize14.0ms (0.2%)

series126.0ms (1.4%)

rewrite37.0ms (0.4%)

simplify425.0ms (4.8%)

prune363.0ms (4.1%)

localize11.0ms (0.1%)

series476.0ms (5.4%)

rewrite23.0ms (0.3%)

simplify309.0ms (3.5%)

prune924.0ms (10.5%)

localize14.0ms (0.2%)

series146.0ms (1.7%)

rewrite1.0ms (0%)

simplify103.0ms (1.2%)

prune1.6s (18%)

regimes1.3s (14.7%)

simplify2.0ms (0%)

end200.0ms (2.3%)

Profiling