Details

analyze1.3s (34.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
6.2%	93.6%	0.2%	9
28.1%	68.6%	3.3%	10
29.6%	65.5%	4.9%	11
32%	61.7%	6.3%	12
35.5%	56.9%	7.6%	13
48%	38.7%	13.4%	14

Compiler

Compiled 20 to 12 computations (40% saved)

sample39.0ms (1.1%)

Algorithm

1×

intervals

Results

13.0ms	256×	body	128	valid
4.0ms	71×	body	128	invalid

Compiler

Compiled 43 to 27 computations (37.2% saved)

simplify108.0ms (2.9%)

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

prune3.0ms (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 (+.f64 (-.f64 (.f64 d1 d2) (.f64 d1 d3)) (.f64 d4 d1)) (.f64 d1 d1))
	0.0b	(*.f64 d1 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1)))

Compiler

Compiled 92 to 53 computations (42.4% saved)

localize9.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

series47.0ms (1.3%)

Counts

3 → 132

Calls

3 calls:

26.0ms	(-.f64 (+.f64 (-.f64 (.f64 d1 d2) (.f64 d1 d3)) (.f64 d4 d1)) (.f64 d1 d1))
14.0ms	(+.f64 (-.f64 (.f64 d1 d2) (.f64 d1 d3)) (*.f64 d4 d1))
7.0ms	(-.f64 (.f64 d1 d2) (.f64 d1 d3))

rewrite18.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`add-log-exp_binary64`
7×	`add-sqr-sqrt_binary64`
6×	`diff-log_binary64`
6×	`*-un-lft-identity_binary64`
6×	`add-cube-cbrt_binary64`

Counts

3 → 64

Calls

3 calls:

7.0ms	(-.f64 (+.f64 (-.f64 (.f64 d1 d2) (.f64 d1 d3)) (.f64 d4 d1)) (.f64 d1 d1))
5.0ms	(+.f64 (-.f64 (.f64 d1 d2) (.f64 d1 d3)) (*.f64 d4 d1))
3.0ms	(-.f64 (.f64 d1 d2) (.f64 d1 d3))

simplify110.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

713×	`associate-l_binary64`
685×	`fma-def_binary64`
488×	`fma-neg_binary64`
459×	`distribute-rgt-in_binary64`
440×	`distribute-lft-in_binary64`

Counts

196 → 127

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	128	2558
1	361	2139
2	1230	2096
3	4966	2096
4	5229	2096

prune82.0ms (2.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	126	1	127
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	126	3	129

Error

Counts

129 → 3

Alt Table

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

Compiler

Compiled 2571 to 494 computations (80.8% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

series90.0ms (2.4%)

Counts

2 → 72

Calls

2 calls:

83.0ms	(+.f64 (-.f64 (.f64 d1 d2) (.f64 d1 d3)) (*.f64 d1 (-.f64 d4 d1)))
6.0ms	(*.f64 d1 (-.f64 d4 d1))

rewrite24.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

37×	`prod-diff_binary64`
37×	`add-sqr-sqrt_binary64`
35×	`*-un-lft-identity_binary64`
33×	`add-cube-cbrt_binary64`
26×	`distribute-lft-in_binary64`

Counts

2 → 103

Calls

2 calls:

8.0ms	(+.f64 (-.f64 (.f64 d1 d2) (.f64 d1 d3)) (*.f64 d1 (-.f64 d4 d1)))
6.0ms	(*.f64 d1 (-.f64 d4 d1))

simplify105.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

490×	`exp-prod_binary64`
409×	`fma-neg_binary64`
309×	`associate-l_binary64`
307×	`cancel-sign-sub-inv_binary64`
257×	`distribute-lft-out_binary64`

Counts

175 → 157

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	213	2881
1	504	2251
2	2246	2109
3	4679	2108
4	5124	2108

prune107.0ms (2.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	187	0	187
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	187	3	190

Error

Counts

190 → 3

Alt Table

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

Compiler

Compiled 4414 to 841 computations (80.9% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series16.0ms (0.4%)

Counts

1 → 48

Calls

1 calls:

16.0ms

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

rewrite10.0ms (0.3%)

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:

9.0ms

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

simplify81.0ms (2.2%)

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

prune69.0ms (1.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	55	0	55
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	55	3	58

Error

Counts

58 → 3

Alt Table

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

Compiler

Compiled 851 to 188 computations (77.9% saved)

regimes238.0ms (6.4%)

Accuracy

Total 0.0b remaining (56.3%)

Threshold costs 0.0b (56.3%)

Counts

52 → 1

Compiler

Compiled 3923 to 2359 computations (39.9% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`+-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	14
1	14	14
2	22	14
3	26	14
4	28	14
5	28	14

end6.0ms (0.2%)

Compiler: Compiled 42 to 24 computations (42.9% saved)

sample1.3s (33.9%)

Algorithm

1×

intervals

Results

416.0ms	8000×	body	128	valid
120.0ms	2339×	body	128	invalid

Compiler

Compiled 87 to 53 computations (39.1% saved)

Details

analyze1.3s (34.3%)

sample39.0ms (1.1%)

simplify108.0ms (2.9%)

prune3.0ms (0.1%)

localize9.0ms (0.3%)

series47.0ms (1.3%)

rewrite18.0ms (0.5%)

simplify110.0ms (2.9%)

prune82.0ms (2.2%)

localize8.0ms (0.2%)

series90.0ms (2.4%)

rewrite24.0ms (0.7%)

simplify105.0ms (2.8%)

prune107.0ms (2.9%)

localize6.0ms (0.2%)

series16.0ms (0.4%)

rewrite10.0ms (0.3%)

simplify81.0ms (2.2%)

prune69.0ms (1.9%)

regimes238.0ms (6.4%)

simplify3.0ms (0.1%)

end6.0ms (0.2%)

sample1.3s (33.9%)

Profiling