Details

analyze84.0ms (4.7%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
49.9%	49.9%	0.1%	3
49.9%	49.9%	0.1%	4
49.9%	49.9%	0.1%	5
49.9%	25%	25.1%	6
49.9%	25%	25.1%	7
49.9%	25%	25.1%	8
49.9%	12.5%	37.6%	9
49.9%	12.5%	37.6%	10
49.9%	12.5%	37.6%	11
49.9%	6.2%	43.8%	12
49.9%	6.2%	43.8%	13
49.9%	6.2%	43.8%	14

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample934.0ms (52%)

Infinites

58.3% of outputs are infinite.

Results

760.0ms	8256×	body	128	valid
92.0ms	1115×	body	128	invalid

Compiler

Compiled 38 to 26 computations (31.6% saved)

simplify67.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

508×	`unswap-sqr_binary64`
478×	`associate-/l/_binary64`
431×	`associate-/r/_binary64`
362×	`fma-neg_binary64`
337×	`fma-def_binary64`

Counts

1 → 2

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	14
1	18	12
2	41	12
3	81	12
4	133	12
5	275	12
6	732	12
7	1580	12
8	3134	12
9	3463	12
10	4627	12
11	4955	12

prune3.0ms (0.2%)

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	(exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))

Compiler

Compiled 42 to 25 computations (40.5% saved)

localize7.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (fma.f64 y (log.f64 y) x) z)
✓	0.0b	(exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))
✓	0.1b	(fma.f64 y (log.f64 y) x)

series134.0ms (7.5%)

Counts

3 → 72

Calls

3 calls:

84.0ms	(-.f64 (fma.f64 y (log.f64 y) x) z)
41.0ms	(fma.f64 y (log.f64 y) x)
8.0ms	(exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))

rewrite14.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`*-un-lft-identity_binary64`
23×	`add-sqr-sqrt_binary64`
19×	`add-cube-cbrt_binary64`
18×	`prod-diff_binary64`
14×	`exp-sum_binary64`

Counts

3 → 72

Calls

3 calls:

4.0ms	(exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))
3.0ms	(-.f64 (fma.f64 y (log.f64 y) x) z)
0.0ms	(fma.f64 y (log.f64 y) x)

simplify83.0ms (4.6%)

Algorithm

1×	egg-herbie

Rules

835×	`times-frac_binary64`
694×	`fma-def_binary64`
617×	`fma-neg_binary64`
289×	`*-commutative_binary64`
194×	`distribute-rgt-in_binary64`

Counts

144 → 121

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	174	2261
1	385	1871
2	1204	1708
3	3673	1708
4	5691	1708

prune57.0ms (3.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	120	1	121
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	120	2	122

Error

Counts

122 → 2

Alt Table

Status	Error	Program
✓	0.0b	(exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))
▶	22.3b	(/.f64 (pow.f64 y y) (exp.f64 z))

Compiler

Compiled 2200 to 578 computations (73.7% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.4b	(/.f64 (pow.f64 y y) (exp.f64 z))

series133.0ms (7.4%)

Counts

1 → 8

Calls

1 calls:

133.0ms

(/.f64 (pow.f64 y y) (exp.f64 z))

rewrite7.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`times-frac_binary64`
17×	`*-un-lft-identity_binary64`
17×	`add-sqr-sqrt_binary64`
17×	`add-cube-cbrt_binary64`
12×	`unpow-prod-down_binary64`

Counts

1 → 47

Calls

1 calls:

4.0ms

(/.f64 (pow.f64 y y) (exp.f64 z))

simplify56.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

707×	`fma-def_binary64`
553×	`cancel-sign-sub-inv_binary64`
456×	`unswap-sqr_binary64`
355×	`fma-neg_binary64`
301×	`associate-r_binary64`

Counts

55 → 69

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	120	1049
1	253	1011
2	701	995
3	2683	988
4	5185	988

prune31.0ms (1.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	69	0	69
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	69	2	71

Error

Counts

71 → 2

Alt Table

Status	Error	Program
✓	0.0b	(exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))
✓	22.3b	(/.f64 (pow.f64 y y) (exp.f64 z))

Compiler

Compiled 1034 to 311 computations (69.9% saved)

regimes121.0ms (6.7%)

Accuracy

Total 0.0b remaining (90%)

Threshold costs 0.0b (90%)

Counts

13 → 1

Compiler

Compiled 1023 to 728 computations (28.8% saved)

simplify7.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	12
1	10	12
2	15	12
3	17	12
4	18	12
5	18	12

end53.0ms (2.9%)

Compiler: Compiled 42 to 27 computations (35.7% saved)

Details

analyze84.0ms (4.7%)

sample934.0ms (52%)

simplify67.0ms (3.7%)

prune3.0ms (0.2%)

localize7.0ms (0.4%)

series134.0ms (7.5%)

rewrite14.0ms (0.8%)

simplify83.0ms (4.6%)

prune57.0ms (3.2%)

localize5.0ms (0.3%)

series133.0ms (7.4%)

rewrite7.0ms (0.4%)

simplify56.0ms (3.1%)

prune31.0ms (1.7%)

regimes121.0ms (6.7%)

simplify7.0ms (0.4%)

end53.0ms (2.9%)

Profiling