Details

analyze3.0ms (0%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
99.8%	0%	0.2%	1

Compiler

Compiled 20 to 12 computations (40% saved)

sample1.8s (22.1%)

Symmetry

(sort d2 d4)

Results

1.3s

8256×

body

128

valid

Compiler

Compiled 59 to 35 computations (40.7% saved)

simplify155.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1400×	`fma-neg_binary64`
654×	`fma-def_binary64`
233×	`sub-neg_binary64`
210×	`unsub-neg_binary64`
158×	`cancel-sign-sub-inv_binary64`

Counts

1 → 2

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	19
1	32	14
2	94	13
3	263	13
4	655	13
5	1556	13
6	1691	13
7	1500	13
8	1500	13
9	2739	13
10	2707	13
11	2707	13
12	2632	13

prune7.0ms (0.1%)

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
▶	0.0b	(*.f64 d1 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1)))
	5.0b	(-.f64 (+.f64 (-.f64 (.f64 d1 d2) (.f64 d1 d3)) (.f64 d4 d1)) (.f64 d1 d1))

Compiler

Compiled 92 to 53 computations (42.4% saved)

localize13.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 d1 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1)))

series29.0ms (0.4%)

Counts

1 → 48

Calls

1 calls:

29.0ms

(*.f64 d1 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1)))

rewrite16.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`*-un-lft-identity_binary64`
6×	`associate-r_binary64`
5×	`add-sqr-sqrt_binary64`
3×	`distribute-lft-out--_binary64`
3×	`distribute-lft-out_binary64`

Counts

1 → 27

Calls

1 calls:

13.0ms

(*.f64 d1 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1)))

simplify151.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

617×	`distribute-rgt-in_binary64`
603×	`distribute-lft-in_binary64`
446×	`fma-neg_binary64`
407×	`associate-l_binary64`
313×	`associate-r_binary64`

Counts

75 → 55

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	71	1262
1	195	1056
2	718	940
3	3249	940
4	4599	940
5	4980	940

prune63.0ms (0.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	54	1	55
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	54	3	57

Error

Counts

57 → 3

Alt Table

Status	Error	Program
▶	1.0b	(.f64 (.f64 (cbrt.f64 (.f64 d1 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1)))) (cbrt.f64 (.f64 d1 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1))))) (cbrt.f64 (*.f64 d1 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1)))))
✓	0.0b	(*.f64 d1 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1)))
	5.0b	(-.f64 (+.f64 (-.f64 (.f64 d1 d2) (.f64 d1 d3)) (.f64 d4 d1)) (.f64 d1 d1))

Compiler

Compiled 925 to 211 computations (77.2% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(*.f64 d1 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1)))
✓	0.2b	(.f64 (.f64 (cbrt.f64 (.f64 d1 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1)))) (cbrt.f64 (.f64 d1 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1))))) (cbrt.f64 (*.f64 d1 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1)))))
✓	0.4b	(.f64 (cbrt.f64 (.f64 d1 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1)))) (cbrt.f64 (*.f64 d1 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1)))))
✓	17.6b	(cbrt.f64 (*.f64 d1 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1))))

series1.5s (18.9%)

Counts

3 → 144

Calls

3 calls:

1.0s

(*.f64 (cbrt.f64 (*.f64 d1 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1)))) (cbrt.f64 (*.f64 d1 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1)))))

436.0ms

(cbrt.f64 (*.f64 d1 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1))))

46.0ms

(*.f64 (*.f64 (cbrt.f64 (*.f64 d1 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1)))) (cbrt.f64 (*.f64 d1 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1))))) (cbrt.f64 (*.f64 d1 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1)))))

rewrite152.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Rules

78×	`associate-*r/_binary64`
68×	`cbrt-div_binary64`
34×	`flip-+_binary64`
34×	`flip3-+_binary64`
32×	`frac-times_binary64`

Counts

3 → 115

Calls

3 calls:

19.0ms

(*.f64 (*.f64 (cbrt.f64 (*.f64 d1 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1)))) (cbrt.f64 (*.f64 d1 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1))))) (cbrt.f64 (*.f64 d1 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1)))))

15.0ms

(cbrt.f64 (*.f64 d1 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1))))

12.0ms

(*.f64 (cbrt.f64 (*.f64 d1 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1)))) (cbrt.f64 (*.f64 d1 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1)))))

simplify624.0ms (7.8%)

Algorithm

1×	egg-herbie

Rules

551×	`fma-def_binary64`
393×	`associate-r_binary64`
287×	`associate-*r/_binary64`
287×	`associate-/l*_binary64`
112×	`associate-l_binary64`

Counts

259 → 351

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2284	28139
1	5193	28139

prune2.4s (30.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	731	1	732
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	732	3	735

Error

Counts

735 → 3

Alt Table

Status	Error	Program
✓	1.0b	(.f64 (.f64 (cbrt.f64 (.f64 d1 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1)))) (cbrt.f64 (.f64 d1 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1))))) (cbrt.f64 (*.f64 d1 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1)))))
✓	0.0b	(*.f64 d1 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1)))
▶	5.0b	(-.f64 (fma.f64 d2 d1 (.f64 d1 d4)) (+.f64 (.f64 d1 d1) (*.f64 d1 d3)))

Compiler

Compiled 76195 to 37408 computations (50.9% saved)

localize16.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.3b	(fma.f64 d2 d1 (*.f64 d1 d4))
✓	1.7b	(+.f64 (.f64 d1 d1) (.f64 d1 d3))
✓	3.2b	(-.f64 (fma.f64 d2 d1 (.f64 d1 d4)) (+.f64 (.f64 d1 d1) (*.f64 d1 d3)))

series47.0ms (0.6%)

Counts

3 → 108

Calls

3 calls:

30.0ms	(-.f64 (fma.f64 d2 d1 (.f64 d1 d4)) (+.f64 (.f64 d1 d1) (*.f64 d1 d3)))
10.0ms	(fma.f64 d2 d1 (*.f64 d1 d4))
6.0ms	(+.f64 (.f64 d1 d1) (.f64 d1 d3))

rewrite13.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`*-un-lft-identity_binary64`
14×	`add-sqr-sqrt_binary64`
12×	`prod-diff_binary64`
12×	`add-cube-cbrt_binary64`
10×	`add-log-exp_binary64`

Counts

3 → 62

Calls

3 calls:

6.0ms	(-.f64 (fma.f64 d2 d1 (.f64 d1 d4)) (+.f64 (.f64 d1 d1) (*.f64 d1 d3)))
3.0ms	(+.f64 (.f64 d1 d1) (.f64 d1 d3))
0.0ms	(fma.f64 d2 d1 (*.f64 d1 d4))

simplify154.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

802×	`fma-def_binary64`
680×	`fma-neg_binary64`
409×	`distribute-rgt-in_binary64`
374×	`distribute-lft-in_binary64`
171×	`cancel-sign-sub-inv_binary64`

Counts

170 → 119

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	119	2334
1	281	1960
2	1070	1783
3	4599	1783
4	5073	1783

prune123.0ms (1.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	119	0	119
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	119	3	122

Error

Counts

122 → 3

Alt Table

Status	Error	Program
✓	1.0b	(.f64 (.f64 (cbrt.f64 (.f64 d1 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1)))) (cbrt.f64 (.f64 d1 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1))))) (cbrt.f64 (*.f64 d1 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1)))))
✓	0.0b	(*.f64 d1 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1)))
✓	5.0b	(-.f64 (fma.f64 d2 d1 (.f64 d1 d4)) (+.f64 (.f64 d1 d1) (*.f64 d1 d3)))

Compiler

Compiled 2733 to 412 computations (84.9% saved)

regimes577.0ms (7.2%)

Accuracy

Total 0.0b remaining (79.9%)

Threshold costs 0.0b (79.9%)

Counts

67 → 1

Compiler

Compiled 6863 to 3609 computations (47.4% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	15	13
2	23	13
3	27	13
4	29	13
5	29	13

end102.0ms (1.3%)

Remove: (sort d2 d4)
Compiler: Compiled 119 to 61 computations (48.7% saved)

Details

analyze3.0ms (0%)

sample1.8s (22.1%)

simplify155.0ms (1.9%)

prune7.0ms (0.1%)

localize13.0ms (0.2%)

series29.0ms (0.4%)

rewrite16.0ms (0.2%)

simplify151.0ms (1.9%)

prune63.0ms (0.8%)

localize11.0ms (0.1%)

series1.5s (18.9%)

rewrite152.0ms (1.9%)

simplify624.0ms (7.8%)

prune2.4s (30.7%)

localize16.0ms (0.2%)

series47.0ms (0.6%)

rewrite13.0ms (0.2%)

simplify154.0ms (1.9%)

prune123.0ms (1.5%)

regimes577.0ms (7.2%)

simplify5.0ms (0.1%)

end102.0ms (1.3%)

Profiling