Details

analyze1.4s (24%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	100%	0%	3
25%	75%	0%	4
37.5%	62.5%	0%	5
43.7%	56.2%	0%	6
46.9%	53.1%	0%	7
48.4%	51.5%	0%	8
48.4%	51.5%	0%	9
48.4%	51.5%	0%	10
48.4%	51.5%	0%	11
48.5%	51.4%	0%	12
48.6%	51.4%	0%	13
48.6%	51.3%	0%	14

Compiler

Compiled 37 to 29 computations (21.6% saved)

sample1.7s (28.3%)

Results

1.6s

8256×

body

128

valid

Compiler

Compiled 110 to 86 computations (21.8% saved)

simplify77.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1189×	`distribute-rgt-in_binary64`
1108×	`fma-def_binary64`
1005×	`distribute-lft-in_binary64`
549×	`times-frac_binary64`
430×	`distribute-rgt-out_binary64`

Counts

1 → 2

Iterations

Useful iterations: 8 (0.0ms)

Iter	Nodes	Cost
0	11	52
1	23	48
2	48	46
3	118	42
4	280	42
5	394	42
6	660	42
7	1286	38
8	1638	36
9	2219	36
10	2481	36
11	2637	36
12	2677	36
13	2497	36
14	5129	36

prune5.0ms (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 (fma.f64 t (/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t)))) 1) (fma.f64 t (/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t)))) 2))
▶	0.0b	(/.f64 (+.f64 1 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (.f64 2 t) (+.f64 1 t)))) (+.f64 2 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (.f64 2 t) (+.f64 1 t)))))

Status

Error

Program

0.0b

(/.f64 (fma.f64 t (/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t)))) 1) (fma.f64 t (/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t)))) 2))

▶

0.0b

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

Compiler

Compiled 185 to 143 computations (22.7% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

series14.0ms (0.2%)

Counts

4 → 48

Calls

4 calls:

5.0ms	(.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))
3.0ms	(/.f64 (+.f64 1 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (.f64 2 t) (+.f64 1 t)))) (+.f64 2 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (.f64 2 t) (+.f64 1 t)))))
3.0ms	(+.f64 2 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t))))
3.0ms	(+.f64 1 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t))))

rewrite39.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

42×	`add-cbrt-cube_binary64`
42×	`add-exp-log_binary64`
36×	`*-un-lft-identity_binary64`
29×	`times-frac_binary64`
24×	`add-sqr-sqrt_binary64`

Counts

4 → 134

Calls

4 calls:

13.0ms	(.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))
6.0ms	(/.f64 (+.f64 1 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (.f64 2 t) (+.f64 1 t)))) (+.f64 2 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (.f64 2 t) (+.f64 1 t)))))
3.0ms	(+.f64 2 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t))))
3.0ms	(+.f64 1 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t))))

simplify148.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

853×	`fma-def_binary64`
489×	`fma-neg_binary64`
443×	`cancel-sign-sub-inv_binary64`
241×	`distribute-rgt-in_binary64`
203×	`distribute-lft-in_binary64`

Counts

182 → 262

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	254	5156
1	730	4549
2	2278	4025
3	4549	4024
4	4928	4024

prune514.0ms (8.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	371	1	372
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	372	2	374

Error

Counts

374 → 2

Alt Table

Status	Error	Program
▶	0.0b	(/.f64 (+.f64 1 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (.f64 2 t) (+.f64 1 t)))) (+.f64 2 (log.f64 (exp.f64 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (.f64 2 t) (+.f64 1 t)))))))
	0.0b	(/.f64 (fma.f64 t (/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t)))) 1) (fma.f64 t (/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t)))) 2))

Status

Error

Program

▶

0.0b

(/.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))) (+.f64 2 (log.f64 (exp.f64 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))))))

0.0b

(/.f64 (fma.f64 t (/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t)))) 1) (fma.f64 t (/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t)))) 2))

Compiler

Compiled 16090 to 12577 computations (21.8% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 2 (log.f64 (exp.f64 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t))))))
	0.0b	(.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))
✓	0.0b	(exp.f64 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t))))
✓	1.3b	(log.f64 (exp.f64 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))))

series10.0ms (0.2%)

Counts

3 → 36

Calls

3 calls:

3.0ms

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

3.0ms

(log.f64 (exp.f64 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))))

3.0ms

(+.f64 2 (log.f64 (exp.f64 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t))))))

rewrite12.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`*-un-lft-identity_binary64`
7×	`add-log-exp_binary64`
6×	`add-sqr-sqrt_binary64`
6×	`log-prod_binary64`
6×	`add-cube-cbrt_binary64`

Counts

3 → 49

Calls

3 calls:

4.0ms

(+.f64 2 (log.f64 (exp.f64 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t))))))

1.0ms

(log.f64 (exp.f64 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))))

1.0ms

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

simplify90.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

833×	`fma-neg_binary64`
520×	`cancel-sign-sub-inv_binary64`
317×	`fma-def_binary64`
265×	`times-frac_binary64`
204×	`sub-neg_binary64`

Counts

85 → 120

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	117	1958
1	293	1740
2	766	1549
3	2609	1523
4	4843	1521
5	5134	1521

prune443.0ms (7.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	340	0	340
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	340	2	342

Error

Counts

342 → 2

Alt Table

Status	Error	Program
✓	0.0b	(/.f64 (+.f64 1 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (.f64 2 t) (+.f64 1 t)))) (+.f64 2 (log.f64 (exp.f64 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (.f64 2 t) (+.f64 1 t)))))))
▶	0.0b	(/.f64 (fma.f64 t (/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t)))) 1) (fma.f64 t (/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t)))) 2))

Status

Error

Program

✓

0.0b

(/.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))) (+.f64 2 (log.f64 (exp.f64 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))))))

▶

0.0b

(/.f64 (fma.f64 t (/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t)))) 1) (fma.f64 t (/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t)))) 2))

Compiler

Compiled 14853 to 11642 computations (21.6% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (fma.f64 t (/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t)))) 1) (fma.f64 t (/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t)))) 2))
✓	0.0b	(+.f64 t (/.f64 1 t))
✓	0.0b	(fma.f64 t (/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t)))) 2)
✓	0.1b	(/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t))))

series10.0ms (0.2%)

Counts

4 → 48

Calls

4 calls:

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

rewrite23.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

55×	`*-un-lft-identity_binary64`
27×	`times-frac_binary64`
24×	`add-sqr-sqrt_binary64`
24×	`add-cube-cbrt_binary64`
22×	`distribute-lft-out_binary64`

Counts

4 → 101

Calls

4 calls:

8.0ms	(/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t))))
7.0ms	(+.f64 t (/.f64 1 t))
2.0ms	(/.f64 (fma.f64 t (/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t)))) 1) (fma.f64 t (/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t)))) 2))
0.0ms	(fma.f64 t (/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t)))) 2)

simplify157.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

871×	`fma-neg_binary64`
451×	`fma-def_binary64`
256×	`distribute-rgt-in_binary64`
246×	`sub-neg_binary64`
232×	`distribute-lft-in_binary64`

Counts

149 → 149

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	206	3478
1	497	3219
2	1268	3204
3	3649	3187
4	4675	3187
5	4927	3187
6	4917	3187

prune318.0ms (5.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	226	0	226
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	226	2	228

Error

Counts

228 → 2

Alt Table

Status	Error	Program
✓	0.0b	(/.f64 (+.f64 1 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (.f64 2 t) (+.f64 1 t)))) (+.f64 2 (log.f64 (exp.f64 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (.f64 2 t) (+.f64 1 t)))))))
✓	0.0b	(/.f64 (fma.f64 t (/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t)))) 1) (fma.f64 t (/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t)))) 2))

Status

Error

Program

✓

0.0b

(/.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))) (+.f64 2 (log.f64 (exp.f64 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))))))

✓

0.0b

(/.f64 (fma.f64 t (/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t)))) 1) (fma.f64 t (/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t)))) 2))

Compiler

Compiled 7364 to 5674 computations (22.9% saved)

regimes857.0ms (14.3%)

Accuracy

Total 0.0b remaining (90.7%)

Threshold costs 0.0b (90.7%)

Counts

138 → 1

Compiler

Compiled 16543 to 13025 computations (21.3% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

3×	`+-commutative_binary64`
1×	`*-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	47
1	20	47
2	19	47

end96.0ms (1.6%)

Compiler: Compiled 128 to 102 computations (20.3% saved)

Details

analyze1.4s (24%)

sample1.7s (28.3%)

simplify77.0ms (1.3%)

prune5.0ms (0.1%)

localize8.0ms (0.1%)

series14.0ms (0.2%)

rewrite39.0ms (0.6%)

simplify148.0ms (2.5%)

prune514.0ms (8.6%)

localize13.0ms (0.2%)

series10.0ms (0.2%)

rewrite12.0ms (0.2%)

simplify90.0ms (1.5%)

prune443.0ms (7.4%)

localize13.0ms (0.2%)

series10.0ms (0.2%)

rewrite23.0ms (0.4%)

simplify157.0ms (2.6%)

prune318.0ms (5.3%)

regimes857.0ms (14.3%)

simplify2.0ms (0%)

end96.0ms (1.6%)

Profiling