Details

analyze990.0ms (35.5%)

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
9.4%	90.4%	0.2%	8
9.4%	90.4%	0.2%	9
10.9%	88.9%	0.2%	10
25.9%	73.9%	0.2%	11
47.1%	52.7%	0.2%	12
55.3%	44.5%	0.2%	13
59.2%	40.6%	0.2%	14

Compiler

Compiled 22 to 15 computations (31.8% saved)

sample83.0ms (3%)

Algorithm

1×

intervals

Results

16.0ms

256×

body

128

valid

Compiler

Compiled 47 to 33 computations (29.8% saved)

simplify55.0ms (2%)

Algorithm

1×	egg-herbie

Rules

508×	`fma-neg_binary64`
504×	`associate-*l/_binary64`
466×	`div-sub_binary64`
450×	`cancel-sign-sub-inv_binary64`
403×	`sub-neg_binary64`

Counts

1 → 2

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	14	25
1	30	25
2	70	25
3	177	22
4	486	19
5	1087	19
6	2534	19
7	4434	19
8	5156	19

prune4.0ms (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

2.0b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	2.4b	(-.f64 x (/.f64 y (-.f64 z (/.f64 (.f64 y t) (.f64 2 z)))))
	13.3b	(-.f64 x (/.f64 (.f64 (.f64 y 2) z) (-.f64 (.f64 (.f64 z 2) z) (*.f64 y t))))

Compiler

Compiled 110 to 70 computations (36.4% saved)

localize8.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 x (/.f64 y (-.f64 z (/.f64 (.f64 y t) (.f64 2 z)))))
✓	4.0b	(/.f64 y (-.f64 z (/.f64 (.f64 y t) (.f64 2 z))))
✓	5.0b	(/.f64 (.f64 y t) (.f64 2 z))

series108.0ms (3.9%)

Counts

3 → 120

Calls

3 calls:

47.0ms	(/.f64 y (-.f64 z (/.f64 (.f64 y t) (.f64 2 z))))
47.0ms	(-.f64 x (/.f64 y (-.f64 z (/.f64 (.f64 y t) (.f64 2 z)))))
13.0ms	(/.f64 (.f64 y t) (.f64 2 z))

rewrite45.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

108×	`add-sqr-sqrt_binary64`
105×	`*-un-lft-identity_binary64`
77×	`times-frac_binary64`
71×	`add-cube-cbrt_binary64`
63×	`prod-diff_binary64`

Counts

3 → 165

Calls

3 calls:

12.0ms	(-.f64 x (/.f64 y (-.f64 z (/.f64 (.f64 y t) (.f64 2 z)))))
6.0ms	(/.f64 (.f64 y t) (.f64 2 z))
5.0ms	(/.f64 y (-.f64 z (/.f64 (.f64 y t) (.f64 2 z))))

simplify188.0ms (6.7%)

Algorithm

1×	egg-herbie

Rules

325×	`cancel-sign-sub-inv_binary64`
304×	`distribute-neg-frac_binary64`
221×	`times-frac_binary64`
203×	`associate-/l*_binary64`
182×	`associate-*r/_binary64`

Counts

285 → 252

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	384	10579
1	1057	7887
2	3351	6717
3	4786	6717

prune192.0ms (6.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	251	1	252
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	252	2	254

Error

0.0b

Counts

254 → 2

Alt Table

Status	Error	Program
✓	2.4b	(-.f64 x (/.f64 y (-.f64 z (/.f64 (.f64 y t) (.f64 2 z)))))
▶	26.4b	(fma.f64 2 (/.f64 z t) x)

Compiler

Compiled 9832 to 4996 computations (49.2% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 2 (/.f64 z t) x)

series11.0ms (0.4%)

Counts

1 → 36

Calls

1 calls:

10.0ms

(fma.f64 2 (/.f64 z t) x)

rewrite1.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

1×	`*-un-lft-identity_binary64`
1×	`add-sqr-sqrt_binary64`
1×	`add-cube-cbrt_binary64`
1×	`add-cbrt-cube_binary64`
1×	`add-exp-log_binary64`

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma.f64 2 (/.f64 z t) x)

simplify79.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

548×	`associate-*l/_binary64`
542×	`distribute-rgt-in_binary64`
507×	`distribute-lft-in_binary64`
443×	`associate-+l+_binary64`
396×	`fma-def_binary64`

Counts

46 → 14

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	376
1	23	359
2	49	359
3	126	359
4	432	359
5	1628	359
6	4283	359
7	4686	359
8	4929	359
9	4999	359

prune7.0ms (0.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	13	1	14
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	13	3	16

Error

Counts

16 → 3

Alt Table

Status	Error	Program
✓	2.4b	(-.f64 x (/.f64 y (-.f64 z (/.f64 (.f64 y t) (.f64 2 z)))))
✓	26.4b	(fma.f64 2 (/.f64 z t) x)
▶	54.4b	(*.f64 2 (/.f64 z t))

Compiler

Compiled 184 to 100 computations (45.7% saved)

localize3.0ms (0.1%)

prune4.0ms (0.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

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

Error

Counts

3 → 3

Alt Table

Status	Error	Program
✓	2.4b	(-.f64 x (/.f64 y (-.f64 z (/.f64 (.f64 y t) (.f64 2 z)))))
✓	26.4b	(fma.f64 2 (/.f64 z t) x)
✓	54.4b	(*.f64 2 (/.f64 z t))

Compiler

Compiled 36 to 25 computations (30.6% saved)

regimes82.0ms (3%)

Accuracy

Total 1.5b remaining (70.5%)

Threshold costs 0b (0%)

Counts

8 → 3

Compiler

Compiled 772 to 538 computations (30.3% saved)

bsearch26.0ms (0.9%)

Steps

Iters	Range		Point
9	2.6476719407554396e-218	2.0281154025171366e-210	1.1593343701556162e-211
3	-5.059247675766414e-153	-4.256556337142486e-153	-4.3802569374033836e-153

Compiler

Compiled 5 to 4 computations (20% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

7×	`+-commutative_binary64`
7×	`*-commutative_binary64`
7×	`sub-neg_binary64`
5×	`neg-sub0_binary64`
5×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	41
1	30	41
2	42	41
3	55	41
4	63	41
5	67	41
6	68	41
7	68	41

end1.0ms (0%)

Compiler: Compiled 32 to 21 computations (34.4% saved)

sample892.0ms (32%)

Algorithm

1×

intervals

Results

551.0ms

8000×

body

128

valid

Compiler

Compiled 94 to 65 computations (30.9% saved)

Details

analyze990.0ms (35.5%)

sample83.0ms (3%)

simplify55.0ms (2%)

prune4.0ms (0.1%)

localize8.0ms (0.3%)

series108.0ms (3.9%)

rewrite45.0ms (1.6%)

simplify188.0ms (6.7%)

prune192.0ms (6.9%)

localize4.0ms (0.1%)

series11.0ms (0.4%)

rewrite1.0ms (0%)

simplify79.0ms (2.8%)

prune7.0ms (0.3%)

localize3.0ms (0.1%)

prune4.0ms (0.1%)

regimes82.0ms (3%)

bsearch26.0ms (0.9%)

simplify4.0ms (0.1%)

end1.0ms (0%)

sample892.0ms (32%)

Profiling