Details

analyze330.0ms (11.1%)

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%	74.9%	25.1%	3
0%	74.9%	25.1%	4
0%	62.4%	37.6%	5
0%	56.2%	43.8%	6
6.2%	49.9%	43.8%	7
9.4%	43.7%	47%	8
14%	37.4%	48.5%	9
21.1%	30.4%	48.5%	10
24.6%	26.1%	49.3%	11
28.7%	21.6%	49.7%	12
33.4%	16.9%	49.7%	13
35.8%	14.3%	49.9%	14

Compiler

Compiled 12 to 8 computations (33.3% saved)

sample1.0s (35%)

Results

968.0ms	8254×	body	128	valid
7.0ms	64×	body	128	invalid
1.0ms	1×	body	2048	valid
0.0ms	1×	body	512	valid

Compiler

Compiled 35 to 23 computations (34.3% saved)

simplify38.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

681×	`fma-neg_binary64`
398×	`distribute-rgt-in_binary64`
317×	`fma-def_binary64`
285×	`unsub-neg_binary64`
229×	`distribute-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	12
1	16	12
2	36	12
3	82	12
4	166	12
5	327	12
6	531	12
7	1282	12
8	2596	12
9	4179	12
10	4890	12

Stop Event

1×	node limit

Counts

1 → 2

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.1b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.1b	(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)

Compiler

Compiled 41 to 23 computations (43.9% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 x (log.f64 y))

series182.0ms (6.1%)

Counts

1 → 24

Calls

1 calls:

182.0ms

(*.f64 x (log.f64 y))

rewrite27.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

397×	`log1p-expm1-u_binary64`
397×	`expm1-log1p-u_binary64`
336×	`pow1_binary64`
282×	`unpow-prod-down_binary64`
236×	`log-prod_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	6
1	95	6
2	1111	6

Stop Event

1×	node limit

Counts

1 → 20

Calls

1 calls:

27.0ms

(*.f64 x (log.f64 y))

simplify53.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1167×	`fma-def_binary64`
847×	`fma-neg_binary64`
369×	`distribute-rgt-in_binary64`
287×	`distribute-lft-in_binary64`
186×	`unsub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	144
1	31	144
2	60	144
3	133	144
4	331	144
5	897	144
6	2545	144
7	3758	144
8	3937	144
9	3977	144
10	3995	144
11	3997	144

Stop Event

1×	node limit

Counts

44 → 23

prune13.0ms (0.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	20	3	23
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	20	4	24

Error

0.1b

Counts

24 → 4

Alt Table

Status	Error	Program
✓	0.1b	(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)
	19.3b	(-.f64 (-.f64 (cbrt.f64 (pow.f64 (*.f64 x (log.f64 y)) 3)) z) y)
	30.9b	(-.f64 (-.f64 (pow.f64 (sqrt.f64 (*.f64 x (log.f64 y))) 2) z) y)
▶	0.4b	(-.f64 (-.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 y))) 3) z) y)

Compiler

Compiled 367 to 198 computations (46% saved)

localize9.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.2b	(*.f64 x (log.f64 y))
✓	0.6b	(cbrt.f64 (*.f64 x (log.f64 y)))
✓	0.7b	(pow.f64 (cbrt.f64 (*.f64 x (log.f64 y))) 3)

series210.0ms (7.1%)

Counts

2 → 24

Calls

2 calls:

127.0ms	(pow.f64 (cbrt.f64 (*.f64 x (log.f64 y))) 3)
83.0ms	(cbrt.f64 (*.f64 x (log.f64 y)))

rewrite36.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

571×	`log1p-expm1-u_binary64`
571×	`expm1-log1p-u_binary64`
313×	`log-prod_binary64`
166×	`pow2_binary64`
117×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	14
1	157	14
2	1629	14

Stop Event

1×	node limit

Counts

2 → 60

Calls

2 calls:

35.0ms	(cbrt.f64 (*.f64 x (log.f64 y)))
35.0ms	(pow.f64 (cbrt.f64 (*.f64 x (log.f64 y))) 3)

simplify32.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

802×	`fma-neg_binary64`
416×	`unswap-sqr_binary64`
381×	`fma-def_binary64`
221×	`distribute-rgt-in_binary64`
162×	`unsub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	196
1	50	196
2	92	196
3	200	196
4	476	196
5	1347	196
6	3268	196

Stop Event

1×	node limit

Counts

84 → 67

prune85.0ms (2.9%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	83	7	90
Fresh	1	1	2
Picked	1	0	1
Done	0	1	1
Total	85	9	94

Error

0.0b

Counts

94 → 9

Alt Table

Status	Error	Program
✓	0.1b	(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)
	0.4b	(-.f64 (-.f64 (.f64 (cbrt.f64 x) (.f64 (cbrt.f64 (log.f64 y)) (pow.f64 (cbrt.f64 (*.f64 x (log.f64 y))) 2))) z) y)
	30.9b	(-.f64 (-.f64 (pow.f64 (sqrt.f64 (*.f64 x (log.f64 y))) 2) z) y)
	0.4b	(-.f64 (-.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 y) x)) 3) z) y)
	0.5b	(-.f64 (-.f64 (.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 x (log.f64 y))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (log.f64 y)))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 y))))) z) y)
▶	0.4b	(-.f64 (-.f64 (.f64 (.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 y))) 2) (cbrt.f64 x)) (cbrt.f64 (log.f64 y))) z) y)
	27.1b	(-.f64 (-.f64 (.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (log.f64 y))) z) y)
	0.4b	(-.f64 (-.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (log.f64 y))) z) y)
	0.5b	(-.f64 (-.f64 (pow.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 (log.f64 y))) 3) z) y)

Compiler

Compiled 1624 to 808 computations (50.2% saved)

localize13.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(pow.f64 (cbrt.f64 (*.f64 x (log.f64 y))) 2)
✓	0.5b	(cbrt.f64 (log.f64 y))
	0.6b	(cbrt.f64 (*.f64 x (log.f64 y)))
✓	0.6b	(cbrt.f64 x)

series196.0ms (6.6%)

Counts

3 → 24

Calls

3 calls:

110.0ms	(pow.f64 (cbrt.f64 (*.f64 x (log.f64 y))) 2)
76.0ms	(cbrt.f64 (log.f64 y))
9.0ms	(cbrt.f64 x)

rewrite42.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

701×	`log1p-expm1-u_binary64`
701×	`expm1-log1p-u_binary64`
149×	`expm1-udef_binary64`
149×	`log1p-udef_binary64`
87×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	19
1	191	19
2	2057	19

Stop Event

1×	node limit

Counts

3 → 63

Calls

3 calls:

41.0ms	(pow.f64 (cbrt.f64 (*.f64 x (log.f64 y))) 2)
41.0ms	(cbrt.f64 (log.f64 y))
41.0ms	(cbrt.f64 x)

simplify28.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

870×	`fma-def_binary64`
562×	`associate-l_binary64`
502×	`associate-r_binary64`
221×	`unswap-sqr_binary64`
207×	`distribute-rgt-neg-out_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	296
1	80	288
2	174	288
3	690	288
4	3378	288

Stop Event

1×	node limit

Counts

87 → 72

prune128.0ms (4.3%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	99	2	101
Fresh	1	6	7
Picked	0	1	1
Done	0	1	1
Total	100	10	110

Error

Counts

110 → 10

Alt Table

Status	Error	Program
✓	0.1b	(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)
▶	0.4b	(-.f64 (-.f64 (.f64 (cbrt.f64 x) (.f64 (cbrt.f64 (log.f64 y)) (pow.f64 (cbrt.f64 (*.f64 x (log.f64 y))) 2))) z) y)
	0.5b	(-.f64 (-.f64 (.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 x (log.f64 y))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (log.f64 y)))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 y))))) z) y)
✓	0.4b	(-.f64 (-.f64 (.f64 (.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 y))) 2) (cbrt.f64 x)) (cbrt.f64 (log.f64 y))) z) y)
	0.5b	(-.f64 (-.f64 (.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 x (log.f64 y))) 2) (.f64 (cbrt.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))) (cbrt.f64 (log.f64 y))) z) y)
	27.1b	(-.f64 (-.f64 (.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (log.f64 y))) z) y)
	0.4b	(-.f64 (-.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (log.f64 y))) z) y)
	0.4b	(-.f64 (-.f64 (.f64 (.f64 (.f64 (cbrt.f64 x) (.f64 (cbrt.f64 (log.f64 y)) (cbrt.f64 (*.f64 x (log.f64 y))))) (cbrt.f64 x)) (cbrt.f64 (log.f64 y))) z) y)
	30.9b	(-.f64 (-.f64 (pow.f64 (sqrt.f64 (*.f64 x (log.f64 y))) 2) z) y)
	0.5b	(-.f64 (-.f64 (pow.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 (log.f64 y))) 3) z) y)

Compiler

Compiled 2615 to 1172 computations (55.2% saved)

localize13.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.5b	(pow.f64 (cbrt.f64 (*.f64 x (log.f64 y))) 2)
	0.5b	(cbrt.f64 (log.f64 y))
	0.6b	(cbrt.f64 (*.f64 x (log.f64 y)))
	0.6b	(cbrt.f64 x)

prune148.0ms (5%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	101	0	101
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	101	10	111

Error

Counts

111 → 10

Alt Table

Status	Error	Program
✓	0.1b	(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)
✓	0.4b	(-.f64 (-.f64 (.f64 (cbrt.f64 x) (.f64 (cbrt.f64 (log.f64 y)) (pow.f64 (cbrt.f64 (*.f64 x (log.f64 y))) 2))) z) y)
	0.5b	(-.f64 (-.f64 (.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 x (log.f64 y))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (log.f64 y)))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 y))))) z) y)
✓	0.4b	(-.f64 (-.f64 (.f64 (.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 y))) 2) (cbrt.f64 x)) (cbrt.f64 (log.f64 y))) z) y)
	0.5b	(-.f64 (-.f64 (.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 x (log.f64 y))) 2) (.f64 (cbrt.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))) (cbrt.f64 (log.f64 y))) z) y)
	27.1b	(-.f64 (-.f64 (.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (log.f64 y))) z) y)
	0.4b	(-.f64 (-.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (log.f64 y))) z) y)
	0.4b	(-.f64 (-.f64 (.f64 (.f64 (.f64 (cbrt.f64 x) (.f64 (cbrt.f64 (log.f64 y)) (cbrt.f64 (*.f64 x (log.f64 y))))) (cbrt.f64 x)) (cbrt.f64 (log.f64 y))) z) y)
	30.9b	(-.f64 (-.f64 (pow.f64 (sqrt.f64 (*.f64 x (log.f64 y))) 2) z) y)
	0.5b	(-.f64 (-.f64 (pow.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 (log.f64 y))) 3) z) y)

Compiler

Compiled 2449 to 1070 computations (56.3% saved)

regimes187.0ms (6.3%)

Accuracy

Total 0.1b remaining (68%)

Threshold costs 0.1b (68%)

Counts

34 → 1

Compiler

Compiled 2878 to 1916 computations (33.4% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	12
1	13	12
2	21	12
3	25	12
4	27	12

Stop Event

1×

saturated

end155.0ms (5.2%)

Compiler: Compiled 220 to 137 computations (37.7% saved)

Details

analyze330.0ms (11.1%)

sample1.0s (35%)

simplify38.0ms (1.3%)

prune2.0ms (0.1%)

localize6.0ms (0.2%)

series182.0ms (6.1%)

rewrite27.0ms (0.9%)

simplify53.0ms (1.8%)

prune13.0ms (0.4%)

localize9.0ms (0.3%)

series210.0ms (7.1%)

rewrite36.0ms (1.2%)

simplify32.0ms (1.1%)

prune85.0ms (2.9%)

localize13.0ms (0.4%)

series196.0ms (6.6%)

rewrite42.0ms (1.4%)

simplify28.0ms (0.9%)

prune128.0ms (4.3%)

localize13.0ms (0.4%)

prune148.0ms (5%)

regimes187.0ms (6.3%)

simplify2.0ms (0.1%)

end155.0ms (5.2%)

Profiling