Details

analyze319.0ms (12.5%)

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
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
9.4%	65.5%	25.1%	6
14%	60.8%	25.1%	7
14%	56.2%	29.8%	8
14%	36.7%	49.3%	9
14.8%	30.4%	54.8%	10
15.5%	28.3%	56.2%	11
16.4%	18.3%	65.2%	12
17.2%	15.2%	67.6%	13
17.7%	14.2%	68.1%	14

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample1.5s (60.6%)

Results

976.0ms	8256×	body	128	valid
500.0ms	4572×	body	128	invalid

Compiler

Compiled 38 to 26 computations (31.6% saved)

simplify21.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

508×	`unswap-sqr_binary64`
477×	`associate-/l/_binary64`
420×	`associate-/r/_binary64`
262×	`times-frac_binary64`
256×	`associate-*l/_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	14
1	18	12
2	41	12
3	89	12
4	157	12
5	313	12
6	969	12
7	2570	12

Stop Event

1×	node limit

Counts

1 → 2

prune3.0ms (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

Counts

3 → 2

Alt Table

Status	Error	Program
	16.0b	(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
▶	0.0b	(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))

Compiler

Compiled 66 to 42 computations (36.4% saved)

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 x (*.f64 y (log.f64 y)))
✓	0.3b	(*.f64 y (log.f64 y))

series67.0ms (2.6%)

Counts

2 → 32

Calls

2 calls:

35.0ms	(+.f64 x (*.f64 y (log.f64 y)))
32.0ms	(*.f64 y (log.f64 y))

rewrite44.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

791×	`prod-diff_binary64`
644×	`log1p-expm1-u_binary64`
644×	`expm1-log1p-u_binary64`
65×	`add-sqr-sqrt_binary64`
61×	`add-cbrt-cube_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	15
1	126	13
2	1723	13

Stop Event

1×	node limit

Counts

2 → 50

Calls

2 calls:

43.0ms	(+.f64 x (*.f64 y (log.f64 y)))
43.0ms	(*.f64 y (log.f64 y))

simplify63.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

1453×	`fma-def_binary64`
1065×	`fma-neg_binary64`
444×	`distribute-rgt-in_binary64`
317×	`unsub-neg_binary64`
255×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	25	239
1	62	239
2	131	195
3	300	195
4	738	195
5	2111	195
6	3518	195
7	4419	195
8	4811	195
9	4956	195
10	4992	195

Stop Event

1×	node limit

Counts

82 → 59

prune32.0ms (1.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	59	0	59
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	59	2	61

Error

Counts

61 → 2

Alt Table

Status	Error	Program
▶	16.0b	(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
✓	0.0b	(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))

Compiler

Compiled 879 to 379 computations (56.9% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.7b	(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))

series222.0ms (8.7%)

Counts

1 → 12

Calls

1 calls:

222.0ms

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

rewrite39.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

487×	`prod-diff_binary64`
458×	`log-prod_binary64`
197×	`fma-def_binary64`
167×	`expm1-udef_binary64`
167×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	12
1	177	12
2	2503	12

Stop Event

1×	node limit

Counts

1 → 37

Calls

1 calls:

38.0ms

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

simplify32.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

792×	`fma-def_binary64`
449×	`unswap-sqr_binary64`
281×	`cancel-sign-sub-inv_binary64`
249×	`associate-r_binary64`
232×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	66	437
1	195	433
2	598	377
3	2906	373

Stop Event

1×	node limit

Counts

49 → 60

prune30.0ms (1.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	60	0	60
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	60	2	62

Error

Counts

62 → 2

Alt Table

Status	Error	Program
✓	16.0b	(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
✓	0.0b	(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))

Compiler

Compiled 1091 to 304 computations (72.1% saved)

regimes73.0ms (2.9%)

Accuracy

Total 0.0b remaining (83.6%)

Threshold costs 0.0b (83.6%)

Counts

9 → 1

Compiler

Compiled 767 to 520 computations (32.2% saved)

simplify2.0ms (0.1%)

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

Stop Event

1×

saturated

end43.0ms (1.7%)

Compiler: Compiled 45 to 29 computations (35.6% saved)

Details

analyze319.0ms (12.5%)

sample1.5s (60.6%)

simplify21.0ms (0.8%)

prune3.0ms (0.1%)

localize7.0ms (0.3%)

series67.0ms (2.6%)

rewrite44.0ms (1.7%)

simplify63.0ms (2.5%)

prune32.0ms (1.2%)

localize5.0ms (0.2%)

series222.0ms (8.7%)

rewrite39.0ms (1.5%)

simplify32.0ms (1.3%)

prune30.0ms (1.2%)

regimes73.0ms (2.9%)

simplify2.0ms (0.1%)

end43.0ms (1.7%)

Profiling