Details

analyze2.1s (12.2%)

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)

sample2.3s (13.8%)

Symmetry

(sort x y)

(sort t a)

Results

1.4s	8256×	body	128	valid
851.0ms	4876×	body	128	invalid

Compiler

Compiled 80 to 56 computations (30% saved)

simplify62.0ms (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

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

8.1b

Counts

3 → 2

Alt Table

Status	Error	Program
	21.1b	(/.f64 (+.f64 (-.f64 (.f64 (.f64 x 9) y) (.f64 (.f64 (.f64 z 4) t) a)) b) (.f64 z c))
▶	13.2b	(/.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)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 x (*.f64 9 y) b)
✓	0.5b	(fma.f64 t (.f64 a -4) (/.f64 (fma.f64 x (.f64 9 y) b) z))
✓	2.6b	(/.f64 (fma.f64 x (*.f64 9 y) b) z)
✓	10.2b	(/.f64 (fma.f64 t (.f64 a -4) (/.f64 (fma.f64 x (.f64 9 y) b) z)) c)

series179.0ms (1.1%)

Counts

4 → 240

Calls

4 calls:

86.0ms	(/.f64 (fma.f64 t (.f64 a -4) (/.f64 (fma.f64 x (.f64 9 y) b) z)) c)
47.0ms	(/.f64 (fma.f64 x (*.f64 9 y) b) z)
39.0ms	(fma.f64 t (.f64 a -4) (/.f64 (fma.f64 x (.f64 9 y) b) z))
6.0ms	(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)

simplify172.0ms (1%)

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

prune179.0ms (1.1%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	159	12	171
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	159	14	173

Error

7.8b

Counts

173 → 14

Alt Table

Status	Error	Program
	13.7b	(/.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)
	21.1b	(/.f64 (+.f64 (-.f64 (.f64 (.f64 x 9) y) (.f64 (.f64 (.f64 z 4) t) a)) b) (.f64 z c))
▶	13.3b	(.f64 (fma.f64 t (.f64 a -4) (/.f64 (fma.f64 x (*.f64 9 y) b) z)) (/.f64 1 c))
	14.1b	(.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)))
	30.0b	(/.f64 (fma.f64 9 (/.f64 (*.f64 y x) z) (/.f64 b z)) c)
✓	13.2b	(/.f64 (fma.f64 t (.f64 a -4) (/.f64 (fma.f64 x (.f64 9 y) b) z)) c)
	39.3b	(.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)))) (sqrt.f64 c)) (/.f64 (cbrt.f64 (fma.f64 t (.f64 a -4) (/.f64 (fma.f64 x (.f64 9 y) b) z))) (sqrt.f64 c)))
	14.3b	(.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)))) (.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)))
	36.3b	(.f64 (sqrt.f64 (/.f64 (fma.f64 t (.f64 a -4) (/.f64 (fma.f64 x (.f64 9 y) b) z)) c)) (sqrt.f64 (/.f64 (fma.f64 t (.f64 a -4) (/.f64 (fma.f64 x (*.f64 9 y) b) z)) c)))
	43.0b	(/.f64 (.f64 -4 (.f64 a t)) c)
	27.7b	(/.f64 (fma.f64 t (*.f64 a -4) (/.f64 b z)) c)
	39.8b	(.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))
	42.6b	(/.f64 b (*.f64 c z))
	46.1b	(.f64 9 (/.f64 (.f64 y x) (*.f64 c z)))

Compiler

Compiled 4736 to 2591 computations (45.3% 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)
	0.5b	(fma.f64 t (.f64 a -4) (/.f64 (fma.f64 x (.f64 9 y) b) z))
	2.6b	(/.f64 (fma.f64 x (*.f64 9 y) b) z)
✓	10.3b	(.f64 (fma.f64 t (.f64 a -4) (/.f64 (fma.f64 x (*.f64 9 y) b) z)) (/.f64 1 c))

series93.0ms (0.5%)

Counts

1 → 84

Calls

1 calls:

93.0ms

(*.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:

5.0ms

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

simplify89.0ms (0.5%)

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

prune196.0ms (1.1%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	177	4	181
Fresh	3	9	12
Picked	1	0	1
Done	0	1	1
Total	181	14	195

Error

7.8b

Counts

195 → 14

Alt Table

Status	Error	Program
	14.1b	(.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)))
	27.7b	(.f64 (fma.f64 t (.f64 a -4) (/.f64 b z)) (/.f64 1 c))
	30.0b	(/.f64 (fma.f64 9 (/.f64 (*.f64 y x) z) (/.f64 b z)) c)
✓	13.2b	(/.f64 (fma.f64 t (.f64 a -4) (/.f64 (fma.f64 x (.f64 9 y) b) z)) c)
	39.1b	(.f64 (.f64 (fma.f64 t (.f64 a -4) (/.f64 (fma.f64 x (.f64 9 y) b) z)) (sqrt.f64 (/.f64 1 c))) (sqrt.f64 (/.f64 1 c)))
	43.0b	(/.f64 (.f64 -4 (.f64 a t)) c)
	14.1b	(.f64 (.f64 (fma.f64 t (.f64 a -4) (/.f64 (fma.f64 x (.f64 9 y) b) z)) (*.f64 (cbrt.f64 (/.f64 1 c)) (cbrt.f64 (/.f64 1 c)))) (cbrt.f64 (/.f64 1 c)))
	42.6b	(/.f64 b (*.f64 c z))
▶	13.7b	(.f64 (fma.f64 t (.f64 a -4) (/.f64 (.f64 (cbrt.f64 (fma.f64 x (.f64 9 y) b)) (cbrt.f64 (fma.f64 x (.f64 9 y) b))) (/.f64 z (cbrt.f64 (fma.f64 9 (.f64 y x) b))))) (/.f64 1 c))
	21.1b	(/.f64 (+.f64 (-.f64 (.f64 (.f64 x 9) y) (.f64 (.f64 (.f64 z 4) t) a)) b) (.f64 z c))
	14.3b	(.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)))) (.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)))
	36.3b	(.f64 (sqrt.f64 (/.f64 (fma.f64 t (.f64 a -4) (/.f64 (fma.f64 x (.f64 9 y) b) z)) c)) (sqrt.f64 (/.f64 (fma.f64 t (.f64 a -4) (/.f64 (fma.f64 x (*.f64 9 y) b) z)) c)))
	39.8b	(.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))
	46.1b	(.f64 9 (/.f64 (.f64 y x) (*.f64 c z)))

Compiler

Compiled 5089 to 2965 computations (41.7% saved)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.8b	(/.f64 (.f64 (cbrt.f64 (fma.f64 x (.f64 9 y) b)) (cbrt.f64 (fma.f64 x (.f64 9 y) b))) (/.f64 z (cbrt.f64 (fma.f64 9 (.f64 y x) b))))
✓	5.3b	(cbrt.f64 (fma.f64 x (*.f64 9 y) b))
✓	5.3b	(cbrt.f64 (fma.f64 9 (*.f64 y x) b))
✓	10.3b	(.f64 (fma.f64 t (.f64 a -4) (/.f64 (.f64 (cbrt.f64 (fma.f64 x (.f64 9 y) b)) (cbrt.f64 (fma.f64 x (.f64 9 y) b))) (/.f64 z (cbrt.f64 (fma.f64 9 (.f64 y x) b))))) (/.f64 1 c))

series5.5s (32.3%)

Counts

4 → 204

Calls

4 calls:

2.7s	(.f64 (fma.f64 t (.f64 a -4) (/.f64 (.f64 (cbrt.f64 (fma.f64 x (.f64 9 y) b)) (cbrt.f64 (fma.f64 x (.f64 9 y) b))) (/.f64 z (cbrt.f64 (fma.f64 9 (.f64 y x) b))))) (/.f64 1 c))
2.7s	(/.f64 (.f64 (cbrt.f64 (fma.f64 x (.f64 9 y) b)) (cbrt.f64 (fma.f64 x (.f64 9 y) b))) (/.f64 z (cbrt.f64 (fma.f64 9 (.f64 y x) b))))
43.0ms	(cbrt.f64 (fma.f64 x (*.f64 9 y) b))
43.0ms	(cbrt.f64 (fma.f64 9 (*.f64 y x) b))

rewrite30.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

69×	`times-frac_binary64`
47×	`add-sqr-sqrt_binary64`
41×	`*-un-lft-identity_binary64`
40×	`add-cube-cbrt_binary64`
25×	`add-exp-log_binary64`

Counts

4 → 130

Calls

4 calls:

7.0ms	(/.f64 (.f64 (cbrt.f64 (fma.f64 x (.f64 9 y) b)) (cbrt.f64 (fma.f64 x (.f64 9 y) b))) (/.f64 z (cbrt.f64 (fma.f64 9 (.f64 y x) b))))
6.0ms	(.f64 (fma.f64 t (.f64 a -4) (/.f64 (.f64 (cbrt.f64 (fma.f64 x (.f64 9 y) b)) (cbrt.f64 (fma.f64 x (.f64 9 y) b))) (/.f64 z (cbrt.f64 (fma.f64 9 (.f64 y x) b))))) (/.f64 1 c))
1.0ms	(cbrt.f64 (fma.f64 9 (*.f64 y x) b))
1.0ms	(cbrt.f64 (fma.f64 x (*.f64 9 y) b))

simplify249.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

493×	`fma-def_binary64`
323×	`times-frac_binary64`
317×	`associate-/l*_binary64`
288×	`associate-/r*_binary64`
260×	`associate-r_binary64`

Counts

334 → 318

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	515	14603
1	1466	12324
2	4811	12312
3	5178	12312

prune402.0ms (2.4%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	330	1	331
Fresh	1	11	12
Picked	0	1	1
Done	0	1	1
Total	331	14	345

Error

4.2b

Counts

345 → 14

Alt Table

Status	Error	Program
	14.3b	(.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)))) (.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)))
▶	12.7b	(fma.f64 (cbrt.f64 729) (fma.f64 (/.f64 y c) (/.f64 x z) (.f64 1/9 (/.f64 b (.f64 z c)))) (.f64 (/.f64 (.f64 a t) c) -4))
	14.1b	(.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)))
	27.7b	(.f64 (fma.f64 t (.f64 a -4) (/.f64 b z)) (/.f64 1 c))
	30.0b	(/.f64 (fma.f64 9 (/.f64 (*.f64 y x) z) (/.f64 b z)) c)
✓	13.2b	(/.f64 (fma.f64 t (.f64 a -4) (/.f64 (fma.f64 x (.f64 9 y) b) z)) c)
	39.1b	(.f64 (.f64 (fma.f64 t (.f64 a -4) (/.f64 (fma.f64 x (.f64 9 y) b) z)) (sqrt.f64 (/.f64 1 c))) (sqrt.f64 (/.f64 1 c)))
	42.6b	(/.f64 b (*.f64 c z))
✓	13.7b	(.f64 (fma.f64 t (.f64 a -4) (/.f64 (.f64 (cbrt.f64 (fma.f64 x (.f64 9 y) b)) (cbrt.f64 (fma.f64 x (.f64 9 y) b))) (/.f64 z (cbrt.f64 (fma.f64 9 (.f64 y x) b))))) (/.f64 1 c))
	21.1b	(/.f64 (+.f64 (-.f64 (.f64 (.f64 x 9) y) (.f64 (.f64 (.f64 z 4) t) a)) b) (.f64 z c))
	36.3b	(.f64 (sqrt.f64 (/.f64 (fma.f64 t (.f64 a -4) (/.f64 (fma.f64 x (.f64 9 y) b) z)) c)) (sqrt.f64 (/.f64 (fma.f64 t (.f64 a -4) (/.f64 (fma.f64 x (*.f64 9 y) b) z)) c)))
	14.1b	(.f64 (.f64 (fma.f64 t (.f64 a -4) (/.f64 (fma.f64 x (.f64 9 y) b) z)) (*.f64 (cbrt.f64 (/.f64 1 c)) (cbrt.f64 (/.f64 1 c)))) (cbrt.f64 (/.f64 1 c)))
	39.8b	(.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))
	46.1b	(.f64 9 (/.f64 (.f64 y x) (*.f64 c z)))

Compiler

Compiled 15846 to 9760 computations (38.4% saved)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(cbrt.f64 729)
✓	5.5b	(/.f64 b (*.f64 z c))
✓	5.6b	(fma.f64 (/.f64 y c) (/.f64 x z) (.f64 1/9 (/.f64 b (.f64 z c))))
✓	6.9b	(/.f64 (*.f64 a t) c)

series86.0ms (0.5%)

Counts

4 → 96

Calls

4 calls:

53.0ms	(fma.f64 (/.f64 y c) (/.f64 x z) (.f64 1/9 (/.f64 b (.f64 z c))))
19.0ms	(/.f64 b (*.f64 z c))
13.0ms	(/.f64 (*.f64 a t) c)
0.0ms	(cbrt.f64 729)

rewrite11.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-cbrt-cube_binary64`
14×	`add-exp-log_binary64`
9×	`*-un-lft-identity_binary64`
9×	`add-sqr-sqrt_binary64`
9×	`add-cube-cbrt_binary64`

Counts

4 → 69

Calls

4 calls:

3.0ms	(/.f64 (*.f64 a t) c)
3.0ms	(/.f64 b (*.f64 z c))
1.0ms	(cbrt.f64 729)
0.0ms	(fma.f64 (/.f64 y c) (/.f64 x z) (.f64 1/9 (/.f64 b (.f64 z c))))

simplify90.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

609×	`fma-def_binary64`
575×	`associate-/l*_binary64`
562×	`distribute-rgt-in_binary64`
537×	`times-frac_binary64`
266×	`associate-/r*_binary64`

Counts

165 → 104

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	142	2187
1	287	2032
2	851	2032
3	3023	2032
4	3768	2032
5	5173	2032

prune120.0ms (0.7%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	97	7	104
Fresh	6	5	11
Picked	1	0	1
Done	0	2	2
Total	104	14	118

Error

0.3b

Counts

118 → 14

Alt Table

Status	Error	Program
	9.7b	(fma.f64 (cbrt.f64 729) (fma.f64 (/.f64 y c) (/.f64 x z) (.f64 1/9 (/.f64 b (.f64 z c)))) (.f64 (.f64 a (/.f64 t c)) -4))
	14.3b	(.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)))) (.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)))
	35.6b	(fma.f64 (cbrt.f64 729) (fma.f64 (/.f64 y c) (/.f64 x z) (.f64 1/9 (/.f64 b (.f64 z c)))) (.f64 (.f64 (/.f64 a (sqrt.f64 c)) (/.f64 t (sqrt.f64 c))) -4))
	14.1b	(.f64 (.f64 (fma.f64 t (.f64 a -4) (/.f64 (fma.f64 x (.f64 9 y) b) z)) (*.f64 (cbrt.f64 (/.f64 1 c)) (cbrt.f64 (/.f64 1 c)))) (cbrt.f64 (/.f64 1 c)))
	42.6b	(/.f64 b (*.f64 c z))
✓	13.7b	(.f64 (fma.f64 t (.f64 a -4) (/.f64 (.f64 (cbrt.f64 (fma.f64 x (.f64 9 y) b)) (cbrt.f64 (fma.f64 x (.f64 9 y) b))) (/.f64 z (cbrt.f64 (fma.f64 9 (.f64 y x) b))))) (/.f64 1 c))
	21.1b	(/.f64 (+.f64 (-.f64 (.f64 (.f64 x 9) y) (.f64 (.f64 (.f64 z 4) t) a)) b) (.f64 z c))
	12.4b	(fma.f64 (cbrt.f64 (.f64 (.f64 (cbrt.f64 729) (cbrt.f64 729)) (cbrt.f64 729))) (fma.f64 (/.f64 y c) (/.f64 x z) (.f64 1/9 (/.f64 b (.f64 z c)))) (.f64 (/.f64 (.f64 a t) c) -4))
	14.2b	(fma.f64 (cbrt.f64 729) (/.f64 (fma.f64 1/9 (/.f64 b c) (/.f64 (.f64 y x) c)) z) (.f64 (/.f64 (*.f64 a t) c) -4))
	9.3b	(fma.f64 (cbrt.f64 729) (fma.f64 (/.f64 y c) (/.f64 x z) (.f64 1/9 (/.f64 b (.f64 z c)))) (*.f64 (/.f64 a (/.f64 c t)) -4))
	14.1b	(.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)))
✓	13.2b	(/.f64 (fma.f64 t (.f64 a -4) (/.f64 (fma.f64 x (.f64 9 y) b) z)) c)
	12.8b	(fma.f64 (pow.f64 729 1/3) (fma.f64 (/.f64 y c) (/.f64 x z) (.f64 1/9 (/.f64 b (.f64 z c)))) (.f64 (/.f64 (.f64 a t) c) -4))
	39.3b	(fma.f64 (cbrt.f64 729) (fma.f64 (/.f64 y c) (/.f64 x z) (.f64 1/9 (.f64 (/.f64 (sqrt.f64 b) z) (/.f64 (sqrt.f64 b) c)))) (.f64 (/.f64 (.f64 a t) c) -4))

Compiler

Compiled 3466 to 1461 computations (57.8% saved)

regimes4.4s (25.8%)

Accuracy

Total 3.2b remaining (86.1%)

Threshold costs 0b (0%)

Counts

143 → 5

Compiler

Compiled 47636 to 32336 computations (32.1% saved)

bsearch16.0ms (0.1%)

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

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

18×	`*-commutative_binary64`
8×	`+-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	55	279
1	73	279
2	88	279
3	104	279
4	114	279
5	119	279
6	120	279
7	119	279

end650.0ms (3.8%)

Compiler: Compiled 1660 to 993 computations (40.2% saved)

Details

analyze2.1s (12.2%)

sample2.3s (13.8%)

simplify62.0ms (0.4%)

prune4.0ms (0%)

localize11.0ms (0.1%)

series179.0ms (1.1%)

rewrite10.0ms (0.1%)

simplify172.0ms (1%)

prune179.0ms (1.1%)

localize12.0ms (0.1%)

series93.0ms (0.5%)

rewrite9.0ms (0.1%)

simplify89.0ms (0.5%)

prune196.0ms (1.1%)

localize20.0ms (0.1%)

series5.5s (32.3%)

rewrite30.0ms (0.2%)

simplify249.0ms (1.5%)

prune402.0ms (2.4%)

localize19.0ms (0.1%)

series86.0ms (0.5%)

rewrite11.0ms (0.1%)

simplify90.0ms (0.5%)

prune120.0ms (0.7%)

regimes4.4s (25.8%)

bsearch16.0ms (0.1%)

simplify11.0ms (0.1%)

end650.0ms (3.8%)

Profiling