Details

analyze1.5s (35.8%)

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)

sample1.5s (36.1%)

Results

1.4s

8256×

body

128

valid

Compiler

Compiled 73 to 57 computations (21.9% saved)

simplify80.0ms (1.9%)

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

prune4.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

3 → 1

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))

Compiler

Compiled 113 to 87 computations (23% saved)

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

series10.0ms (0.2%)

Counts

3 → 36

Calls

3 calls:

5.0ms	(/.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	(/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t))))
2.0ms	(+.f64 t (/.f64 1 t))

rewrite24.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

3 → 91

Calls

3 calls:

8.0ms	(/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t))))
4.0ms	(+.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))

simplify125.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

881×	`fma-neg_binary64`
466×	`cancel-sign-sub-inv_binary64`
368×	`fma-def_binary64`
254×	`distribute-rgt-in_binary64`
232×	`distribute-lft-in_binary64`

Counts

127 → 124

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	186	3080
1	437	2862
2	1096	2851
3	3117	2832
4	4379	2798
5	4928	2798

prune185.0ms (4.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	200	1	201
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	200	2	202

Error

Counts

202 → 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))
▶	1.0b	(cbrt.f64 (pow.f64 (/.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))

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))

▶

1.0b

(cbrt.f64 (pow.f64 (/.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))

Compiler

Compiled 6659 to 5146 computations (22.7% saved)

localize13.0ms (0.3%)

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))
	0.1b	(/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t))))
✓	0.5b	(pow.f64 (/.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)
✓	1.0b	(cbrt.f64 (pow.f64 (/.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))

series7.0ms (0.2%)

Counts

2 → 24

Calls

2 calls:

3.0ms

(cbrt.f64 (pow.f64 (/.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))

3.0ms

(pow.f64 (/.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)

rewrite22.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`times-frac_binary64`
32×	`*-un-lft-identity_binary64`
32×	`add-sqr-sqrt_binary64`
32×	`cbrt-prod_binary64`
32×	`add-cube-cbrt_binary64`

Counts

2 → 92

Calls

2 calls:

7.0ms

(cbrt.f64 (pow.f64 (/.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))

4.0ms

(pow.f64 (/.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)

simplify159.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

596×	`times-frac_binary64`
476×	`fma-def_binary64`
400×	`associate-/l*_binary64`
398×	`log-div_binary64`
309×	`associate-/r*_binary64`

Counts

116 → 121

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	169	6193
1	433	5546
2	1258	5299
3	4575	5297
4	5469	5297

prune270.0ms (6.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	276	0	276
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	276	2	278

Error

Counts

278 → 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))
✓	1.0b	(cbrt.f64 (pow.f64 (/.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))

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))

✓

1.0b

(cbrt.f64 (pow.f64 (/.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))

Compiler

Compiled 10595 to 8432 computations (20.4% saved)

regimes208.0ms (4.9%)

Accuracy

Total 0.0b remaining (88%)

Threshold costs 0.0b (88%)

Counts

55 → 1

Compiler

Compiled 4184 to 3330 computations (20.4% saved)

simplify3.0ms (0.1%)

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	11	52
1	17	52
2	16	52

end75.0ms (1.8%)

Compiler: Compiled 127 to 99 computations (22% saved)

Details

analyze1.5s (35.8%)

sample1.5s (36.1%)

simplify80.0ms (1.9%)

prune4.0ms (0.1%)

localize10.0ms (0.2%)

series10.0ms (0.2%)

rewrite24.0ms (0.6%)

simplify125.0ms (2.9%)

prune185.0ms (4.3%)

localize13.0ms (0.3%)

series7.0ms (0.2%)

rewrite22.0ms (0.5%)

simplify159.0ms (3.7%)

prune270.0ms (6.4%)

regimes208.0ms (4.9%)

simplify3.0ms (0.1%)

end75.0ms (1.8%)

Profiling