Details

analyze106.0ms (0.7%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
12.5%	87.4%	0.1%	5
46.8%	53.1%	0.1%	6
70.2%	29.7%	0.1%	7
76.5%	23.4%	0.1%	8
83.5%	16.4%	0.1%	9
87%	12.9%	0.1%	10
91.1%	8.8%	0.1%	11
93.2%	6.7%	0.1%	12
95.4%	4.5%	0.1%	13
96.5%	3.4%	0.1%	14

Compiler

Compiled 20 to 10 computations (50% saved)

sample944.0ms (6.6%)

Symmetry

(sort x y)

Results

826.0ms

8256×

body

128

valid

Compiler

Compiled 59 to 29 computations (50.8% saved)

simplify135.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

985×	`associate-/l*_binary64`
659×	`distribute-lft-out_binary64`
601×	`*-commutative_binary64`
469×	`distribute-rgt-out_binary64`
356×	`fma-def_binary64`

Counts

1 → 2

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	25
1	39	25
2	135	23
3	474	23
4	1536	23
5	2122	23
6	2589	23
7	2567	23
8	2620	23
9	2677	23
10	2770	23
11	3956	23
12	4088	23
13	4454	23
14	4983	23
15	4968	23
16	4961	23

prune3.0ms (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

20.8b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	20.8b	(/.f64 (*.f64 x y) (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3)))
	20.8b	(/.f64 (.f64 x y) (.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) 1)))

Compiler

Compiled 109 to 47 computations (56.9% saved)

localize7.0ms (0%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 (+.f64 x y) 3)
✓	0.0b	(fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3))
✓	20.6b	(/.f64 (*.f64 x y) (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3)))

series94.0ms (0.7%)

Counts

3 → 72

Calls

3 calls:

73.0ms	(/.f64 (*.f64 x y) (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3)))
13.0ms	(fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3))
8.0ms	(pow.f64 (+.f64 x y) 3)

rewrite11.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

3 → 62

Calls

3 calls:

5.0ms	(/.f64 (*.f64 x y) (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3)))
3.0ms	(pow.f64 (+.f64 x y) 3)
0.0ms	(fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3))

simplify151.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

326×	`fma-def_binary64`
301×	`times-frac_binary64`
297×	`associate-+r+_binary64`
257×	`associate-/l*_binary64`
223×	`+-commutative_binary64`

Counts

134 → 162

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	347	4819
1	1047	4272
2	4702	4260
3	4981	4260
4	4996	4260
5	4981	4260

prune205.0ms (1.4%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	153	9	162
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	154	10	164

Error

3.2b

Counts

164 → 10

Alt Table

Status	Error	Program
	36.4b	(/.f64 (*.f64 (/.f64 x (hypot.f64 (+.f64 y x) (pow.f64 (+.f64 y x) 3/2))) y) (sqrt.f64 (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3))))
	40.4b	(/.f64 y (pow.f64 x 2))
	27.3b	(/.f64 (.f64 x y) (fma.f64 (+.f64 x y) (+.f64 x y) (cbrt.f64 (.f64 (*.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (+.f64 x y) 3)) (pow.f64 (+.f64 x y) 3)))))
	31.0b	(*.f64 (/.f64 x (hypot.f64 (+.f64 y x) (pow.f64 (+.f64 y x) 3/2))) (/.f64 y (hypot.f64 (+.f64 y x) (pow.f64 (+.f64 y x) 3/2))))
✓	20.8b	(/.f64 (*.f64 x y) (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3)))
	38.7b	(/.f64 x (pow.f64 y 2))
	21.1b	(.f64 (.f64 (cbrt.f64 (/.f64 (.f64 x y) (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3)))) (cbrt.f64 (/.f64 (.f64 x y) (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3))))) (cbrt.f64 (/.f64 (*.f64 x y) (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3)))))
	11.2b	(*.f64 (/.f64 x 1) (/.f64 y (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3))))
	31.6b	(*.f64 (/.f64 x (sqrt.f64 (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3)))) (/.f64 y (sqrt.f64 (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3)))))
▶	10.6b	(.f64 (/.f64 x (.f64 (cbrt.f64 (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3))) (cbrt.f64 (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3))))) (/.f64 y (cbrt.f64 (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3)))))

Compiler

Compiled 6165 to 3234 computations (47.5% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (/.f64 x (.f64 (cbrt.f64 (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3))) (cbrt.f64 (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3))))) (/.f64 y (cbrt.f64 (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3)))))
✓	0.1b	(*.f64 (cbrt.f64 (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3))) (cbrt.f64 (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3))))
✓	12.2b	(/.f64 x (*.f64 (cbrt.f64 (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3))) (cbrt.f64 (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3)))))
✓	35.6b	(cbrt.f64 (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3)))

series3.3s (23.2%)

Counts

4 → 96

Calls

4 calls:

2.9s	(/.f64 x (*.f64 (cbrt.f64 (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3))) (cbrt.f64 (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3)))))
195.0ms	(*.f64 (cbrt.f64 (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3))) (cbrt.f64 (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3))))
89.0ms	(cbrt.f64 (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3)))
75.0ms	(.f64 (/.f64 x (.f64 (cbrt.f64 (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3))) (cbrt.f64 (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3))))) (/.f64 y (cbrt.f64 (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3)))))

rewrite41.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

54×	`add-sqr-sqrt_binary64`
32×	`add-exp-log_binary64`
31×	`times-frac_binary64`
30×	`*-un-lft-identity_binary64`
30×	`cbrt-prod_binary64`

Counts

4 → 139

Calls

4 calls:

10.0ms	(.f64 (/.f64 x (.f64 (cbrt.f64 (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3))) (cbrt.f64 (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3))))) (/.f64 y (cbrt.f64 (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3)))))
6.0ms	(/.f64 x (*.f64 (cbrt.f64 (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3))) (cbrt.f64 (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3)))))
4.0ms	(*.f64 (cbrt.f64 (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3))) (cbrt.f64 (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3))))
1.0ms	(cbrt.f64 (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3)))

simplify296.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

693×	`*-commutative_binary64`
391×	`fma-def_binary64`
375×	`associate-+r+_binary64`
230×	`associate-l_binary64`
228×	`associate-r_binary64`

Counts

235 → 294

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1626	23365
1	5004	23365

prune908.0ms (6.4%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	400	2	402
Fresh	1	7	8
Picked	1	0	1
Done	0	1	1
Total	402	10	412

Error

3.2b

Counts

412 → 10

Alt Table

Status	Error	Program
	32.7b	(.f64 (/.f64 x (exp.f64 (.f64 2 (log.f64 (cbrt.f64 (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3))))))) (/.f64 y (cbrt.f64 (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3)))))
	40.4b	(/.f64 y (pow.f64 x 2))
	27.3b	(/.f64 (.f64 x y) (fma.f64 (+.f64 x y) (+.f64 x y) (cbrt.f64 (.f64 (*.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (+.f64 x y) 3)) (pow.f64 (+.f64 x y) 3)))))
	31.0b	(*.f64 (/.f64 x (hypot.f64 (+.f64 y x) (pow.f64 (+.f64 y x) 3/2))) (/.f64 y (hypot.f64 (+.f64 y x) (pow.f64 (+.f64 y x) 3/2))))
▶	10.6b	(.f64 (.f64 x (/.f64 1 (*.f64 (cbrt.f64 (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3))) (cbrt.f64 (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3)))))) (/.f64 y (cbrt.f64 (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3)))))
	31.6b	(*.f64 (/.f64 x (sqrt.f64 (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3)))) (/.f64 y (sqrt.f64 (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3)))))
✓	20.8b	(/.f64 (*.f64 x y) (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3)))
	38.7b	(/.f64 x (pow.f64 y 2))
	21.1b	(.f64 (.f64 (cbrt.f64 (/.f64 (.f64 x y) (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3)))) (cbrt.f64 (/.f64 (.f64 x y) (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3))))) (cbrt.f64 (/.f64 (*.f64 x y) (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3)))))
	11.2b	(*.f64 (/.f64 x 1) (/.f64 y (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3))))

Compiler

Compiled 43320 to 26101 computations (39.7% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 (cbrt.f64 (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3))) (cbrt.f64 (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3))))
✓	0.4b	(/.f64 1 (*.f64 (cbrt.f64 (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3))) (cbrt.f64 (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3)))))
✓	12.1b	(.f64 x (/.f64 1 (.f64 (cbrt.f64 (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3))) (cbrt.f64 (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3))))))
	35.6b	(cbrt.f64 (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3)))

series3.9s (27.1%)

Counts

2 → 48

Calls

2 calls:

2.9s

(*.f64 x (/.f64 1 (*.f64 (cbrt.f64 (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3))) (cbrt.f64 (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3))))))

952.0ms

(/.f64 1 (*.f64 (cbrt.f64 (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3))) (cbrt.f64 (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3)))))

rewrite18.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

32×	`add-exp-log_binary64`
13×	`prod-exp_binary64`
12×	`add-sqr-sqrt_binary64`
12×	`add-cbrt-cube_binary64`
12×	`pow1_binary64`

Counts

2 → 73

Calls

2 calls:

7.0ms

(*.f64 x (/.f64 1 (*.f64 (cbrt.f64 (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3))) (cbrt.f64 (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3))))))

4.0ms

(/.f64 1 (*.f64 (cbrt.f64 (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3))) (cbrt.f64 (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3)))))

simplify174.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

666×	`*-commutative_binary64`
446×	`+-commutative_binary64`
433×	`fma-def_binary64`
406×	`associate-+r+_binary64`
290×	`associate-r_binary64`

Counts

121 → 170

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1431	18181
1	5017	18181

prune1.1s (7.8%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	407	0	407
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	407	10	417

Error

3.2b

Counts

417 → 10

Alt Table

Status	Error	Program
	32.7b	(.f64 (/.f64 x (exp.f64 (.f64 2 (log.f64 (cbrt.f64 (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3))))))) (/.f64 y (cbrt.f64 (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3)))))
	40.4b	(/.f64 y (pow.f64 x 2))
	27.3b	(/.f64 (.f64 x y) (fma.f64 (+.f64 x y) (+.f64 x y) (cbrt.f64 (.f64 (*.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (+.f64 x y) 3)) (pow.f64 (+.f64 x y) 3)))))
	31.0b	(*.f64 (/.f64 x (hypot.f64 (+.f64 y x) (pow.f64 (+.f64 y x) 3/2))) (/.f64 y (hypot.f64 (+.f64 y x) (pow.f64 (+.f64 y x) 3/2))))
✓	10.6b	(.f64 (.f64 x (/.f64 1 (*.f64 (cbrt.f64 (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3))) (cbrt.f64 (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3)))))) (/.f64 y (cbrt.f64 (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3)))))
	31.6b	(*.f64 (/.f64 x (sqrt.f64 (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3)))) (/.f64 y (sqrt.f64 (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3)))))
✓	20.8b	(/.f64 (*.f64 x y) (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3)))
	38.7b	(/.f64 x (pow.f64 y 2))
	21.1b	(.f64 (.f64 (cbrt.f64 (/.f64 (.f64 x y) (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3)))) (cbrt.f64 (/.f64 (.f64 x y) (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3))))) (cbrt.f64 (/.f64 (*.f64 x y) (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3)))))
▶	11.2b	(*.f64 (/.f64 x 1) (/.f64 y (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3))))

Compiler

Compiled 51353 to 32688 computations (36.3% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(pow.f64 (+.f64 x y) 3)
	0.0b	(fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3))
✓	5.7b	(*.f64 (/.f64 x 1) (/.f64 y (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3))))
✓	8.1b	(/.f64 y (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3)))

series139.0ms (1%)

Counts

2 → 48

Calls

2 calls:

74.0ms	(*.f64 (/.f64 x 1) (/.f64 y (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3))))
65.0ms	(/.f64 y (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3)))

rewrite19.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

41×	`add-sqr-sqrt_binary64`
34×	`times-frac_binary64`
26×	`*-un-lft-identity_binary64`
24×	`add-cube-cbrt_binary64`
21×	`add-exp-log_binary64`

Counts

2 → 85

Calls

2 calls:

7.0ms	(*.f64 (/.f64 x 1) (/.f64 y (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3))))
2.0ms	(/.f64 y (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3)))

simplify101.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

428×	`times-frac_binary64`
391×	`associate-/l*_binary64`
391×	`fma-def_binary64`
316×	`associate-/r*_binary64`
246×	`associate-r_binary64`

Counts

133 → 207

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	486	7311
1	1473	6634
2	4981	6634

prune407.0ms (2.9%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	296	1	297
Fresh	0	7	7
Picked	0	1	1
Done	1	1	2
Total	297	10	307

Error

3.1b

Counts

307 → 10

Alt Table

Status	Error	Program
	32.7b	(.f64 (/.f64 x (exp.f64 (.f64 2 (log.f64 (cbrt.f64 (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3))))))) (/.f64 y (cbrt.f64 (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3)))))
	40.4b	(/.f64 y (pow.f64 x 2))
	27.3b	(/.f64 (.f64 x y) (fma.f64 (+.f64 x y) (+.f64 x y) (cbrt.f64 (.f64 (*.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (+.f64 x y) 3)) (pow.f64 (+.f64 x y) 3)))))
	31.0b	(*.f64 (/.f64 x (hypot.f64 (+.f64 y x) (pow.f64 (+.f64 y x) 3/2))) (/.f64 y (hypot.f64 (+.f64 y x) (pow.f64 (+.f64 y x) 3/2))))
✓	20.8b	(/.f64 (*.f64 x y) (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3)))
	38.7b	(/.f64 x (pow.f64 y 2))
	21.1b	(.f64 (.f64 (cbrt.f64 (/.f64 (.f64 x y) (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3)))) (cbrt.f64 (/.f64 (.f64 x y) (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3))))) (cbrt.f64 (/.f64 (*.f64 x y) (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3)))))
✓	11.2b	(*.f64 (/.f64 x 1) (/.f64 y (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3))))
	31.6b	(*.f64 (/.f64 x (sqrt.f64 (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3)))) (/.f64 y (sqrt.f64 (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3)))))
	32.4b	(.f64 (/.f64 x 1) (.f64 (/.f64 (sqrt.f64 y) (hypot.f64 (+.f64 y x) (pow.f64 (+.f64 y x) 3/2))) (/.f64 (sqrt.f64 y) (hypot.f64 (+.f64 y x) (pow.f64 (+.f64 y x) 3/2)))))

Compiler

Compiled 11928 to 6577 computations (44.9% saved)

regimes1.8s (12.9%)

Accuracy

Total 3.2b remaining (39.2%)

Threshold costs 0b (0%)

Counts

241 → 2

Compiler

Compiled 24140 to 12503 computations (48.2% saved)

bsearch27.0ms (0.2%)

Steps

Iters	Range		Point
7	-4.909325618395632e-162	-5.4025710939413234e-164	-5.4914158727222745e-164

Compiler

Compiled 3 to 2 computations (33.3% saved)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
1×	`+-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	89
1	33	89
2	30	89

end296.0ms (2.1%)

Compiler: Compiled 512 to 236 computations (53.9% saved)

Details

analyze106.0ms (0.7%)

sample944.0ms (6.6%)

simplify135.0ms (0.9%)

prune3.0ms (0%)

localize7.0ms (0%)

series94.0ms (0.7%)

rewrite11.0ms (0.1%)

simplify151.0ms (1.1%)

prune205.0ms (1.4%)

localize11.0ms (0.1%)

series3.3s (23.2%)

rewrite41.0ms (0.3%)

simplify296.0ms (2.1%)

prune908.0ms (6.4%)

localize12.0ms (0.1%)

series3.9s (27.1%)

rewrite18.0ms (0.1%)

simplify174.0ms (1.2%)

prune1.1s (7.8%)

localize8.0ms (0.1%)

series139.0ms (1%)

rewrite19.0ms (0.1%)

simplify101.0ms (0.7%)

prune407.0ms (2.9%)

regimes1.8s (12.9%)

bsearch27.0ms (0.2%)

simplify5.0ms (0%)

end296.0ms (2.1%)

Profiling