Details

analyze78.0ms (0.1%)

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
25%	74.9%	0.1%	3
37.5%	62.4%	0.1%	4
56.2%	43.7%	0.1%	5
62.4%	37.5%	0.1%	6
71.8%	28.1%	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)

sample799.0ms (1.3%)

Infinites

0% of outputs are infinite.

Symmetry

(sort x y)

Results

663.0ms

8256×

body

128

valid

Compiler

Compiled 59 to 29 computations (50.8% saved)

simplify141.0ms (0.2%)

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

16.4b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	16.4b	(/.f64 (*.f64 x y) (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3)))
	16.4b	(/.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)

localize8.0ms (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))
✓	16.3b	(/.f64 (*.f64 x y) (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3)))

series102.0ms (0.2%)

Counts

3 → 72

Calls

3 calls:

78.0ms	(/.f64 (*.f64 x y) (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3)))
12.0ms	(fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3))
11.0ms	(pow.f64 (+.f64 x y) 3)

rewrite9.0ms (0%)

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:

3.0ms	(/.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))

simplify150.0ms (0.2%)

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

prune210.0ms (0.3%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	155	7	162
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	157	7	164

Error

2.9b

Counts

164 → 7

Alt Table

Status	Error	Program
	29.5b	(*.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)))))
	40.5b	(-.f64 (/.f64 x (.f64 y y)) (fma.f64 3 (/.f64 (.f64 x x) (pow.f64 y 3)) (/.f64 x (pow.f64 y 3))))
	41.3b	(-.f64 (/.f64 y (.f64 x x)) (fma.f64 3 (/.f64 (.f64 y y) (pow.f64 x 3)) (/.f64 y (pow.f64 x 3))))
	20.3b	(/.f64 x (/.f64 (+.f64 (pow.f64 (+.f64 y x) 3) (pow.f64 (+.f64 y x) 2)) y))
	16.5b	(.f64 (.f64 x y) (/.f64 1 (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3))))
	31.3b	(*.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))))
▶	8.2b	(.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 6011 to 3182 computations (47.1% saved)

localize11.0ms (0%)

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))))
✓	0.1b	(.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)))))
✓	13.1b	(/.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)))))
✓	35.7b	(cbrt.f64 (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3)))

series3.7s (6%)

Counts

4 → 96

Calls

4 calls:

3.3s	(/.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)))))
191.0ms	(*.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))))
87.0ms	(cbrt.f64 (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3)))
73.0ms	(.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)))))

rewrite39.0ms (0.1%)

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:

11.0ms	(.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)))))
5.0ms	(*.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))))
4.0ms	(/.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)))))
1.0ms	(cbrt.f64 (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3)))

simplify223.0ms (0.4%)

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

prune975.0ms (1.6%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	399	3	402
Fresh	0	6	6
Picked	1	0	1
Done	0	0	0
Total	400	9	409

Error

2.9b

Counts

409 → 9

Alt Table

Status	Error	Program
	8.5b	(.f64 (/.f64 x (.f64 (.f64 (.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3)))) (cbrt.f64 (cbrt.f64 (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3))))) (.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3)))) (cbrt.f64 (cbrt.f64 (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3)))))) (.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3)))) (cbrt.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)))))
▶	8.3b	(.f64 (.f64 (cbrt.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)))))) (cbrt.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 (cbrt.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))))))
	29.5b	(*.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)))))
	40.5b	(-.f64 (/.f64 x (.f64 y y)) (fma.f64 3 (/.f64 (.f64 x x) (pow.f64 y 3)) (/.f64 x (pow.f64 y 3))))
	41.3b	(-.f64 (/.f64 y (.f64 x x)) (fma.f64 3 (/.f64 (.f64 y y) (pow.f64 x 3)) (/.f64 y (pow.f64 x 3))))
	20.3b	(/.f64 x (/.f64 (+.f64 (pow.f64 (+.f64 y x) 3) (pow.f64 (+.f64 y x) 2)) y))
	16.5b	(.f64 (.f64 x y) (/.f64 1 (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3))))
	29.1b	(log.f64 (exp.f64 (.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)))))))
	31.3b	(*.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))))

Compiler

Compiled 43588 to 26219 computations (39.8% saved)

localize15.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(.f64 (cbrt.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)))))) (cbrt.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)))))))
	13.1b	(/.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)))))
✓	16.8b	(cbrt.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))))))
	35.7b	(cbrt.f64 (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3)))

series44.9s (73%)

Counts

2 → 48

Calls

2 calls:

43.3s

(*.f64 (cbrt.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)))))) (cbrt.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)))))))

1.5s

(cbrt.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))))))

rewrite30.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

47×	`cbrt-prod_binary64`
34×	`add-sqr-sqrt_binary64`
21×	`times-frac_binary64`
16×	`*-un-lft-identity_binary64`
16×	`add-cube-cbrt_binary64`

Counts

2 → 80

Calls

2 calls:

8.0ms

(*.f64 (cbrt.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)))))) (cbrt.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)))))))

6.0ms

(cbrt.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))))))

simplify333.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

856×	`associate-r_binary64`
634×	`fma-def_binary64`
338×	`sqr-pow_binary64`
126×	`unpow1/3_binary64`
30×	`sub-neg_binary64`

Counts

128 → 159

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2554	30665
1	5518	30665

prune4.0s (6.5%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	831	1	832
Fresh	1	7	8
Picked	0	1	1
Done	0	0	0
Total	832	9	841

Error

2.9b

Counts

841 → 9

Alt Table

Status	Error	Program
▶	8.3b	(.f64 (.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (cbrt.f64 (/.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)))))) (cbrt.f64 (/.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 (cbrt.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))))))
	41.3b	(-.f64 (/.f64 y (.f64 x x)) (fma.f64 3 (/.f64 (.f64 y y) (pow.f64 x 3)) (/.f64 y (pow.f64 x 3))))
	29.5b	(*.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)))))
	40.5b	(-.f64 (/.f64 x (.f64 y y)) (fma.f64 3 (/.f64 (.f64 x x) (pow.f64 y 3)) (/.f64 x (pow.f64 y 3))))
	20.3b	(/.f64 x (/.f64 (+.f64 (pow.f64 (+.f64 y x) 3) (pow.f64 (+.f64 y x) 2)) y))
✓	8.3b	(.f64 (.f64 (cbrt.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)))))) (cbrt.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 (cbrt.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))))))
	16.5b	(.f64 (.f64 x y) (/.f64 1 (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3))))
	29.1b	(log.f64 (exp.f64 (.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)))))))
	31.3b	(*.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))))

Compiler

Compiled 190442 to 115920 computations (39.1% saved)

localize20.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
	13.1b	(/.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)))))
	16.8b	(cbrt.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))))))
✓	27.0b	(cbrt.f64 (/.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))))))
	35.7b	(cbrt.f64 (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3)))

series948.0ms (1.5%)

Counts

1 → 24

Calls

1 calls:

948.0ms

(cbrt.f64 (/.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))))))

rewrite5.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`cbrt-prod_binary64`
3×	`*-un-lft-identity_binary64`
3×	`times-frac_binary64`
3×	`add-sqr-sqrt_binary64`
3×	`add-cube-cbrt_binary64`

Counts

1 → 18

Calls

1 calls:

4.0ms

(cbrt.f64 (/.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))))))

simplify239.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

616×	`associate-+l+_binary64`
416×	`*-commutative_binary64`
243×	`unswap-sqr_binary64`
225×	`+-commutative_binary64`
217×	`fma-def_binary64`

Counts

42 → 61

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	905	9116
1	2969	7934
2	5515	7934

prune2.6s (4.2%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	617	1	618
Fresh	0	7	7
Picked	1	0	1
Done	0	1	1
Total	618	9	627

Error

2.9b

Counts

627 → 9

Alt Table

Status	Error	Program
	8.4b	(.f64 (.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (cbrt.f64 (/.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)))))) (cbrt.f64 (/.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 (cbrt.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 (.f64 (.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3)))) (cbrt.f64 (cbrt.f64 (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3))))) (cbrt.f64 (cbrt.f64 (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3))))))))
	41.3b	(-.f64 (/.f64 y (.f64 x x)) (fma.f64 3 (/.f64 (.f64 y y) (pow.f64 x 3)) (/.f64 y (pow.f64 x 3))))
	29.5b	(*.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)))))
	40.5b	(-.f64 (/.f64 x (.f64 y y)) (fma.f64 3 (/.f64 (.f64 x x) (pow.f64 y 3)) (/.f64 x (pow.f64 y 3))))
	20.3b	(/.f64 x (/.f64 (+.f64 (pow.f64 (+.f64 y x) 3) (pow.f64 (+.f64 y x) 2)) y))
✓	8.3b	(.f64 (.f64 (cbrt.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)))))) (cbrt.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 (cbrt.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))))))
	16.5b	(.f64 (.f64 x y) (/.f64 1 (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3))))
	29.1b	(log.f64 (exp.f64 (.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)))))))
	31.3b	(*.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))))

Compiler

Compiled 129019 to 74647 computations (42.1% saved)

regimes1.3s (2.1%)

Accuracy

Total 2.7b remaining (36.4%)

Threshold costs 0b (0%)

Counts

231 → 3

Compiler

Compiled 35999 to 16475 computations (54.2% saved)

bsearch51.0ms (0.1%)

Steps

Iters	Range		Point
10	-2.1583378295618583e-233	-6.698270564337916e-244	-6.798182670312745e-244
7	-3.993302839267947e+106	-3.261027480305493e+104	-3.3388667508241876e+104

Compiler

Compiled 3 to 2 computations (33.3% saved)

simplify7.0ms (0%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`
1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	120
1	30	120
2	30	120

end645.0ms (1%)

Compiler: Compiled 777 to 345 computations (55.6% saved)

Details

analyze78.0ms (0.1%)

sample799.0ms (1.3%)

simplify141.0ms (0.2%)

prune3.0ms (0%)

localize8.0ms (0%)

series102.0ms (0.2%)

rewrite9.0ms (0%)

simplify150.0ms (0.2%)

prune210.0ms (0.3%)

localize11.0ms (0%)

series3.7s (6%)

rewrite39.0ms (0.1%)

simplify223.0ms (0.4%)

prune975.0ms (1.6%)

localize15.0ms (0%)

series44.9s (73%)

rewrite30.0ms (0%)

simplify333.0ms (0.5%)

prune4.0s (6.5%)

localize20.0ms (0%)

series948.0ms (1.5%)

rewrite5.0ms (0%)

simplify239.0ms (0.4%)

prune2.6s (4.2%)

regimes1.3s (2.1%)

bsearch51.0ms (0.1%)

simplify7.0ms (0%)

end645.0ms (1%)

Profiling