Details

analyze780.0ms (5.8%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	50%	0%	4
50%	50%	0%	5
50%	50%	0%	6
50%	50%	0%	7
50%	50%	0%	8
50%	50%	0%	9
50%	50%	0%	10
50%	50%	0%	11
50%	49.9%	0%	12
99.6%	0.3%	0%	13
99.9%	0%	0%	14

Compiler

Compiled 53 to 45 computations (15.1% saved)

sample2.0s (15%)

Results

1.9s

8256×

body

128

valid

Compiler

Compiled 158 to 134 computations (15.2% saved)

simplify58.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

976×	`fma-def_binary64`
667×	`div-sub_binary64`
616×	`sub-neg_binary64`
386×	`unsub-neg_binary64`
342×	`times-frac_binary64`

Counts

1 → 2

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	13	76
1	22	72
2	42	72
3	108	48
4	313	48
5	1138	42
6	3303	42
7	4367	42
8	5019	42

prune6.0ms (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

0.0b

Counts

3 → 2

Alt Table

Status	Error	Program
	0.0b	(/.f64 (+.f64 1 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))
▶	0.0b	(/.f64 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 5) (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6))

Status

Error

Program

0.0b

(/.f64 (+.f64 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))

▶

0.0b

(/.f64 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 5) (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6))

Compiler

Compiled 245 to 209 computations (14.7% saved)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 5) (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6))
✓	0.0b	(+.f64 (/.f64 2 (+.f64 1 t)) -4)
✓	0.0b	(fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6)
✓	0.0b	(fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 5)

series11.0ms (0.1%)

Counts

4 → 48

Calls

4 calls:

3.0ms	(/.f64 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 5) (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6))
3.0ms	(fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 5)
3.0ms	(fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6)
2.0ms	(+.f64 (/.f64 2 (+.f64 1 t)) -4)

rewrite17.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`*-un-lft-identity_binary64`
21×	`times-frac_binary64`
20×	`add-sqr-sqrt_binary64`
20×	`add-cube-cbrt_binary64`
18×	`fma-def_binary64`

Counts

4 → 81

Calls

4 calls:

10.0ms	(+.f64 (/.f64 2 (+.f64 1 t)) -4)
2.0ms	(/.f64 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 5) (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6))
0.0ms	(fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 5)
0.0ms	(fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6)

simplify115.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

590×	`fma-neg_binary64`
535×	`cancel-sign-sub-inv_binary64`
491×	`times-frac_binary64`
354×	`fma-def_binary64`
245×	`sub-neg_binary64`

Counts

129 → 182

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	159	3295
1	413	2892
2	1030	2866
3	2835	2861
4	4542	2861
5	4892	2861

prune315.0ms (2.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	233	1	234
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	233	3	236

Error

Counts

236 → 3

Alt Table

Status	Error	Program
	32.1b	(+.f64 (fma.f64 t t 1/2) (*.f64 (pow.f64 t 3) (+.f64 t -2)))
▶	0.0b	(/.f64 (+.f64 1 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))
✓	0.0b	(/.f64 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 5) (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6))

Compiler

Compiled 8670 to 7452 computations (14% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (+.f64 1 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))
✓	0.0b	(/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))
✓	0.0b	(*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))
✓	2.4b	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))

series13.0ms (0.1%)

Counts

4 → 48

Calls

4 calls:

4.0ms	(*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))
4.0ms	(/.f64 (+.f64 1 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))
3.0ms	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
3.0ms	(/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))

rewrite375.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Rules

1463×	`times-frac_binary64`
1400×	`*-un-lft-identity_binary64`
921×	`add-sqr-sqrt_binary64`
874×	`add-cube-cbrt_binary64`
639×	`prod-diff_binary64`

Counts

4 → 1058

Calls

4 calls:

71.0ms	(*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))
30.0ms	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
10.0ms	(/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))
5.0ms	(/.f64 (+.f64 1 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))

simplify1.8s (13.5%)

Algorithm

1×	egg-herbie

Rules

534×	`*-commutative_binary64`
471×	`distribute-rgt-in_binary64`
270×	`fma-def_binary64`
232×	`distribute-neg-frac_binary64`
181×	`sub-neg_binary64`

Counts

1106 → 982

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1146	102967
1	2654	75579
2	4885	75579
3	4954	75579

prune7.3s (54.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	2694	0	2694
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	2694	3	2697

Error

Counts

2697 → 3

Alt Table

Status	Error	Program
▶	32.1b	(+.f64 (fma.f64 t t 1/2) (*.f64 (pow.f64 t 3) (+.f64 t -2)))
✓	0.0b	(/.f64 (+.f64 1 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))
✓	0.0b	(/.f64 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 5) (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6))

Compiler

Compiled 252103 to 208938 computations (17.1% saved)

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (pow.f64 t 3) (+.f64 t -2))

series4.0ms (0%)

Counts

1 → 12

Calls

1 calls:

4.0ms

(*.f64 (pow.f64 t 3) (+.f64 t -2))

rewrite8.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`associate-l_binary64`
12×	`add-sqr-sqrt_binary64`
7×	`*-un-lft-identity_binary64`
6×	`add-exp-log_binary64`
5×	`add-cube-cbrt_binary64`

Counts

1 → 38

Calls

1 calls:

6.0ms

(*.f64 (pow.f64 t 3) (+.f64 t -2))

simplify59.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

480×	`exp-prod_binary64`
342×	`*-commutative_binary64`
319×	`times-frac_binary64`
299×	`associate-+l+_binary64`
290×	`associate-+r+_binary64`

Counts

50 → 58

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	70	621
1	181	591
2	818	589
3	2146	565
4	4271	565
5	5273	565

prune44.0ms (0.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	58	0	58
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	58	3	61

Error

Counts

61 → 3

Alt Table

Status	Error	Program
✓	32.1b	(+.f64 (fma.f64 t t 1/2) (*.f64 (pow.f64 t 3) (+.f64 t -2)))
✓	0.0b	(/.f64 (+.f64 1 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))
✓	0.0b	(/.f64 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 5) (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6))

Compiler

Compiled 1133 to 804 computations (29% saved)

regimes403.0ms (3%)

Accuracy

Total 0.0b remaining (88.4%)

Threshold costs 0.0b (88.4%)

Counts

76 → 1

Compiler

Compiled 10949 to 9340 computations (14.7% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

6×	`+-commutative_binary64`
3×	`sub-neg_binary64`
2×	`*-commutative_binary64`
2×	`distribute-neg-frac_binary64`
2×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	61
1	22	61
2	28	61
3	35	61
4	38	61
5	39	61
6	36	61

end98.0ms (0.7%)

Compiler: Compiled 179 to 151 computations (15.6% saved)

Details

analyze780.0ms (5.8%)

sample2.0s (15%)

simplify58.0ms (0.4%)

prune6.0ms (0%)

localize19.0ms (0.1%)

series11.0ms (0.1%)

rewrite17.0ms (0.1%)

simplify115.0ms (0.9%)

prune315.0ms (2.3%)

localize10.0ms (0.1%)

series13.0ms (0.1%)

rewrite375.0ms (2.8%)

simplify1.8s (13.5%)

prune7.3s (54.2%)

localize6.0ms (0%)

series4.0ms (0%)

rewrite8.0ms (0.1%)

simplify59.0ms (0.4%)

prune44.0ms (0.3%)

regimes403.0ms (3%)

simplify4.0ms (0%)

end98.0ms (0.7%)

Profiling