Details

analyze1.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
99.9%	0%	0.1%	1

Compiler

Compiled 14 to 10 computations (28.6% saved)

sample621.0ms (25%)

Results

572.0ms	8150×	body	128	valid
15.0ms	73×	body	1024	valid
3.0ms	19×	body	512	valid
1.0ms	13×	body	256	valid
0.0ms	1×	body	2048	valid

Compiler

Compiled 41 to 29 computations (29.3% saved)

simplify7.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

24×	`fma-def_binary64`
8×	`*-commutative_binary64`
7×	`+-commutative_binary64`
5×	`associate-+r+_binary64`
5×	`distribute-lft-out_binary64`

Counts

1 → 2

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	13
1	20	10
2	44	7
3	64	7
4	67	7
5	68	7
6	66	7

prune8.0ms (0.3%)

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

0.0b

Counts

3 → 2

Alt Table

Status	Error	Program
	0.1b	(+.f64 (+.f64 (.f64 d1 10) (.f64 d1 d2)) (*.f64 d1 20))
▶	0.0b	(*.f64 d1 (+.f64 d2 30))

Compiler

Compiled 58 to 40 computations (31% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 d1 (+.f64 d2 30))

series4.0ms (0.2%)

Counts

1 → 20

Calls

1 calls:

4.0ms

(*.f64 d1 (+.f64 d2 30))

rewrite6.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

5×	`*-un-lft-identity_binary64`
5×	`add-sqr-sqrt_binary64`
4×	`associate-r_binary64`
3×	`associate-l_binary64`
3×	`add-cube-cbrt_binary64`

Counts

1 → 25

Calls

1 calls:

5.0ms

(*.f64 d1 (+.f64 d2 30))

simplify70.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

898×	`distribute-rgt-in_binary64`
895×	`distribute-lft-in_binary64`
522×	`associate-*l/_binary64`
475×	`fma-def_binary64`
247×	`associate-l_binary64`

Counts

45 → 44

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	53	389
1	127	359
2	385	359
3	925	359
4	2929	359
5	3014	359
6	3452	359
7	4858	359

prune31.0ms (1.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	41	3	44
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	42	4	46

Error

Counts

46 → 4

Alt Table

Status	Error	Program
▶	0.9b	(.f64 (.f64 d1 (*.f64 (cbrt.f64 (+.f64 d2 30)) (cbrt.f64 (+.f64 d2 30)))) (cbrt.f64 (+.f64 d2 30)))
	26.3b	(/.f64 (.f64 d1 (+.f64 (pow.f64 d2 3) 27000)) (+.f64 (.f64 d2 d2) (-.f64 (.f64 30 30) (.f64 d2 30))))
	40.0b	(.f64 (.f64 (sqrt.f64 d1) (sqrt.f64 (+.f64 d2 30))) (*.f64 (sqrt.f64 d1) (sqrt.f64 (+.f64 d2 30))))
✓	0.0b	(*.f64 d1 (+.f64 d2 30))

Compiler

Compiled 560 to 379 computations (32.3% saved)

localize7.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 (cbrt.f64 (+.f64 d2 30)) (cbrt.f64 (+.f64 d2 30)))
✓	0.3b	(.f64 (.f64 d1 (*.f64 (cbrt.f64 (+.f64 d2 30)) (cbrt.f64 (+.f64 d2 30)))) (cbrt.f64 (+.f64 d2 30)))
✓	0.3b	(cbrt.f64 (+.f64 d2 30))
✓	0.3b	(.f64 d1 (.f64 (cbrt.f64 (+.f64 d2 30)) (cbrt.f64 (+.f64 d2 30))))

series421.0ms (16.9%)

Counts

4 → 72

Calls

4 calls:

401.0ms	(.f64 d1 (.f64 (cbrt.f64 (+.f64 d2 30)) (cbrt.f64 (+.f64 d2 30))))
9.0ms	(*.f64 (cbrt.f64 (+.f64 d2 30)) (cbrt.f64 (+.f64 d2 30)))
5.0ms	(cbrt.f64 (+.f64 d2 30))
5.0ms	(.f64 (.f64 d1 (*.f64 (cbrt.f64 (+.f64 d2 30)) (cbrt.f64 (+.f64 d2 30)))) (cbrt.f64 (+.f64 d2 30)))

rewrite52.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Rules

80×	`cbrt-div_binary64`
44×	`associate-*r/_binary64`
40×	`flip-+_binary64`
40×	`flip3-+_binary64`
36×	`frac-times_binary64`

Counts

4 → 153

Calls

4 calls:

15.0ms	(.f64 (.f64 d1 (*.f64 (cbrt.f64 (+.f64 d2 30)) (cbrt.f64 (+.f64 d2 30)))) (cbrt.f64 (+.f64 d2 30)))
11.0ms	(*.f64 (cbrt.f64 (+.f64 d2 30)) (cbrt.f64 (+.f64 d2 30)))
9.0ms	(.f64 d1 (.f64 (cbrt.f64 (+.f64 d2 30)) (cbrt.f64 (+.f64 d2 30))))
2.0ms	(cbrt.f64 (+.f64 d2 30))

simplify149.0ms (6%)

Algorithm

1×	egg-herbie

Rules

721×	`fma-def_binary64`
402×	`associate-l_binary64`
348×	`associate-r_binary64`
336×	`distribute-rgt-in_binary64`
331×	`distribute-lft-in_binary64`

Counts

225 → 273

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	290	4568
1	712	4265
2	2141	3835
3	4831	3804
4	4962	3804

prune268.0ms (10.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	358	1	359
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	359	4	363

Error

Counts

363 → 4

Alt Table

Status	Error	Program
✓	0.9b	(.f64 (.f64 d1 (*.f64 (cbrt.f64 (+.f64 d2 30)) (cbrt.f64 (+.f64 d2 30)))) (cbrt.f64 (+.f64 d2 30)))
▶	26.3b	(/.f64 (*.f64 d1 (+.f64 (pow.f64 d2 3) 27000)) (fma.f64 d2 d2 (fma.f64 d2 -30 900)))
	40.0b	(.f64 (.f64 (sqrt.f64 d1) (sqrt.f64 (+.f64 d2 30))) (*.f64 (sqrt.f64 d1) (sqrt.f64 (+.f64 d2 30))))
✓	0.0b	(*.f64 d1 (+.f64 d2 30))

Compiler

Compiled 9411 to 7160 computations (23.9% saved)

localize9.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 d2 -30 900)
✓	3.1b	(*.f64 d1 (+.f64 (pow.f64 d2 3) 27000))
✓	22.6b	(/.f64 (*.f64 d1 (+.f64 (pow.f64 d2 3) 27000)) (fma.f64 d2 d2 (fma.f64 d2 -30 900)))

series91.0ms (3.7%)

Counts

3 → 60

Calls

3 calls:

70.0ms	(/.f64 (*.f64 d1 (+.f64 (pow.f64 d2 3) 27000)) (fma.f64 d2 d2 (fma.f64 d2 -30 900)))
20.0ms	(*.f64 d1 (+.f64 (pow.f64 d2 3) 27000))
2.0ms	(fma.f64 d2 -30 900)

rewrite18.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

3 → 60

Calls

3 calls:

8.0ms	(/.f64 (*.f64 d1 (+.f64 (pow.f64 d2 3) 27000)) (fma.f64 d2 d2 (fma.f64 d2 -30 900)))
7.0ms	(*.f64 d1 (+.f64 (pow.f64 d2 3) 27000))
0.0ms	(fma.f64 d2 -30 900)

simplify83.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

488×	`associate-/l*_binary64`
453×	`times-frac_binary64`
407×	`distribute-rgt-in_binary64`
401×	`distribute-lft-in_binary64`
258×	`fma-def_binary64`

Counts

120 → 114

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	121	1851
1	293	1603
2	1124	1558
3	4582	1558
4	5195	1558

prune74.0ms (3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	114	0	114
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	114	4	118

Error

Counts

118 → 4

Alt Table

Status	Error	Program
✓	0.9b	(.f64 (.f64 d1 (*.f64 (cbrt.f64 (+.f64 d2 30)) (cbrt.f64 (+.f64 d2 30)))) (cbrt.f64 (+.f64 d2 30)))
✓	26.3b	(/.f64 (*.f64 d1 (+.f64 (pow.f64 d2 3) 27000)) (fma.f64 d2 d2 (fma.f64 d2 -30 900)))
▶	40.0b	(.f64 (.f64 (sqrt.f64 d1) (sqrt.f64 (+.f64 d2 30))) (*.f64 (sqrt.f64 d1) (sqrt.f64 (+.f64 d2 30))))
✓	0.0b	(*.f64 d1 (+.f64 d2 30))

Compiler

Compiled 2438 to 1721 computations (29.4% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (sqrt.f64 d1) (sqrt.f64 (+.f64 d2 30)))
✓	0.2b	(.f64 (.f64 (sqrt.f64 d1) (sqrt.f64 (+.f64 d2 30))) (*.f64 (sqrt.f64 d1) (sqrt.f64 (+.f64 d2 30))))

series61.0ms (2.5%)

Counts

2 → 24

Calls

2 calls:

46.0ms	(*.f64 (sqrt.f64 d1) (sqrt.f64 (+.f64 d2 30)))
15.0ms	(.f64 (.f64 (sqrt.f64 d1) (sqrt.f64 (+.f64 d2 30))) (*.f64 (sqrt.f64 d1) (sqrt.f64 (+.f64 d2 30))))

rewrite30.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

61×	`pow1_binary64`
38×	`pow-prod-down_binary64`
24×	`add-sqr-sqrt_binary64`
18×	`sqrt-pow1_binary64`
18×	`pow1/2_binary64`

Counts

2 → 92

Calls

2 calls:

14.0ms	(.f64 (.f64 (sqrt.f64 d1) (sqrt.f64 (+.f64 d2 30))) (*.f64 (sqrt.f64 d1) (sqrt.f64 (+.f64 d2 30))))
8.0ms	(*.f64 (sqrt.f64 d1) (sqrt.f64 (+.f64 d2 30)))

simplify97.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

934×	`fma-def_binary64`
709×	`times-frac_binary64`
309×	`*-commutative_binary64`
307×	`distribute-rgt-in_binary64`
304×	`distribute-lft-in_binary64`

Counts

116 → 128

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	131	1409
1	305	1204
2	987	1166
3	2759	1161
4	4956	1161
5	5048	1161

prune102.0ms (4.1%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	187	0	187
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	187	4	191

Error

Counts

191 → 4

Alt Table

Status	Error	Program
✓	0.9b	(.f64 (.f64 d1 (*.f64 (cbrt.f64 (+.f64 d2 30)) (cbrt.f64 (+.f64 d2 30)))) (cbrt.f64 (+.f64 d2 30)))
✓	26.3b	(/.f64 (*.f64 d1 (+.f64 (pow.f64 d2 3) 27000)) (fma.f64 d2 d2 (fma.f64 d2 -30 900)))
✓	40.0b	(.f64 (.f64 (sqrt.f64 d1) (sqrt.f64 (+.f64 d2 30))) (*.f64 (sqrt.f64 d1) (sqrt.f64 (+.f64 d2 30))))
✓	0.0b	(*.f64 d1 (+.f64 d2 30))

Compiler

Compiled 3888 to 2537 computations (34.7% saved)

regimes204.0ms (8.2%)

Accuracy

Total 0.0b remaining (73.9%)

Threshold costs 0.0b (73.9%)

Counts

67 → 1

Compiler

Compiled 3044 to 2333 computations (23.4% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	8	7
2	8	7

end61.0ms (2.4%)

Compiler: Compiled 73 to 53 computations (27.4% saved)

Details

analyze1.0ms (0.1%)

sample621.0ms (25%)

simplify7.0ms (0.3%)

prune8.0ms (0.3%)

localize3.0ms (0.1%)

series4.0ms (0.2%)

rewrite6.0ms (0.2%)

simplify70.0ms (2.8%)

prune31.0ms (1.3%)

localize7.0ms (0.3%)

series421.0ms (16.9%)

rewrite52.0ms (2.1%)

simplify149.0ms (6%)

prune268.0ms (10.8%)

localize9.0ms (0.4%)

series91.0ms (3.7%)

rewrite18.0ms (0.7%)

simplify83.0ms (3.3%)

prune74.0ms (3%)

localize6.0ms (0.2%)

series61.0ms (2.5%)

rewrite30.0ms (1.2%)

simplify97.0ms (3.9%)

prune102.0ms (4.1%)

regimes204.0ms (8.2%)

simplify2.0ms (0.1%)

end61.0ms (2.4%)

Profiling