Details

analyze362.0ms (6.5%)

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%	74.9%	25.1%	3
0%	74.9%	25.1%	4
0%	49.9%	50.1%	5
0%	43.7%	56.3%	6
0%	34.3%	65.7%	7
3.1%	31.2%	65.7%	8
3.1%	28.1%	68.8%	9
4.7%	25%	70.4%	10
7%	20.3%	72.7%	11
10.5%	16.8%	72.7%	12
10.5%	16%	73.5%	13
12.3%	13.8%	73.9%	14

Compiler

Compiled 16 to 11 computations (31.3% saved)

sample1.3s (23.9%)

Results

1.2s	8255×	body	128	valid
56.0ms	448×	body	128	invalid
0.0ms	1×	body	512	valid

Compiler

Compiled 47 to 32 computations (31.9% saved)

simplify38.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1015×	`fma-neg_binary64`
287×	`distribute-rgt-in_binary64`
278×	`unsub-neg_binary64`
236×	`fma-def_binary64`
223×	`sub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	11	17
1	22	17
2	59	17
3	163	15
4	407	15
5	914	15
6	1368	15
7	1823	15
8	2104	15
9	2873	15
10	4681	15

Stop Event

1×	node limit

Counts

1 → 2

prune3.0ms (0%)

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

0.1b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.1b	(-.f64 (fma.f64 x (log.f64 y) (log.f64 t)) (+.f64 y z))

Compiler

Compiled 53 to 31 computations (41.5% saved)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

series687.0ms (12.4%)

Counts

2 → 84

Calls

2 calls:

381.0ms	(fma.f64 x (log.f64 y) (log.f64 t))
306.0ms	(-.f64 (fma.f64 x (log.f64 y) (log.f64 t)) (+.f64 y z))

rewrite60.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

477×	`fma-def_binary64`
229×	`fma-neg_binary64`
204×	`expm1-udef_binary64`
204×	`log1p-udef_binary64`
181×	`log-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	24
1	215	24
2	3029	24

Stop Event

1×	node limit

Counts

2 → 148

Calls

2 calls:

56.0ms	(-.f64 (fma.f64 x (log.f64 y) (log.f64 t)) (+.f64 y z))
56.0ms	(fma.f64 x (log.f64 y) (log.f64 t))

simplify36.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

444×	`associate--r+_binary64`
441×	`fma-neg_binary64`
419×	`fma-def_binary64`
338×	`associate-+l-_binary64`
328×	`associate--l+_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	954
1	134	954
2	364	954
3	1263	954

Stop Event

1×	node limit

Counts

232 → 171

prune99.0ms (1.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	165	6	171
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	165	7	172

Error

0.0b

Counts

172 → 7

Alt Table

Status	Error	Program
	33.6b	(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (log.f64 y)) (-.f64 (log.f64 t) (+.f64 y z)))
	0.5b	(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (log.f64 y)) (-.f64 (log.f64 t) (+.f64 y z)))
✓	0.1b	(-.f64 (fma.f64 x (log.f64 y) (log.f64 t)) (+.f64 y z))
	41.2b	(pow.f64 (sqrt.f64 (-.f64 (fma.f64 x (log.f64 y) (log.f64 t)) (+.f64 y z))) 2)
	0.6b	(-.f64 (pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t))) 3) (+.f64 y z))
	34.8b	(fma.f64 (*.f64 x (sqrt.f64 (log.f64 y))) (sqrt.f64 (log.f64 y)) (-.f64 (log.f64 t) (+.f64 y z)))
▶	0.4b	(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (log.f64 y)) 2)) (cbrt.f64 (log.f64 y)) (-.f64 (log.f64 t) (+.f64 y z)))

Compiler

Compiled 3596 to 869 computations (75.8% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (log.f64 y)) 2)) (cbrt.f64 (log.f64 y)) (-.f64 (log.f64 t) (+.f64 y z)))
✓	0.2b	(*.f64 x (pow.f64 (cbrt.f64 (log.f64 y)) 2))
✓	0.5b	(cbrt.f64 (log.f64 y))
✓	0.5b	(pow.f64 (cbrt.f64 (log.f64 y)) 2)

series1.0s (18.8%)

Counts

4 → 96

Calls

4 calls:

658.0ms	(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (log.f64 y)) 2)) (cbrt.f64 (log.f64 y)) (-.f64 (log.f64 t) (+.f64 y z)))
242.0ms	(*.f64 x (pow.f64 (cbrt.f64 (log.f64 y)) 2))
74.0ms	(pow.f64 (cbrt.f64 (log.f64 y)) 2)
64.0ms	(cbrt.f64 (log.f64 y))

rewrite56.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

491×	`fma-def_binary64`
260×	`expm1-udef_binary64`
260×	`log1p-udef_binary64`
233×	`fma-neg_binary64`
147×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	51
1	296	41
2	3883	39

Stop Event

1×	node limit

Counts

4 → 82

Calls

4 calls:

54.0ms	(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (log.f64 y)) 2)) (cbrt.f64 (log.f64 y)) (-.f64 (log.f64 t) (+.f64 y z)))
54.0ms	(*.f64 x (pow.f64 (cbrt.f64 (log.f64 y)) 2))
54.0ms	(cbrt.f64 (log.f64 y))
54.0ms	(pow.f64 (cbrt.f64 (log.f64 y)) 2)

simplify38.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

368×	`fma-def_binary64`
359×	`associate-l_binary64`
342×	`associate--r+_binary64`
323×	`associate-r_binary64`
298×	`associate-+l-_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	61	1151
1	173	1143
2	439	1143
3	1463	1143

Stop Event

1×	node limit

Counts

178 → 111

prune145.0ms (2.6%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	134	4	138
Fresh	1	4	5
Picked	1	0	1
Done	0	1	1
Total	136	9	145

Error

0.0b

Counts

145 → 9

Alt Table

Status	Error	Program
	29.5b	(fma.f64 (.f64 x (pow.f64 (cbrt.f64 (log.f64 y)) 2)) (.f64 (cbrt.f64 -1) (pow.f64 (log.f64 (/.f64 1 y)) 1/3)) (-.f64 (log.f64 t) (+.f64 y z)))
	0.6b	(-.f64 (pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t))) 3) (+.f64 y z))
	0.5b	(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (log.f64 y)) (-.f64 (log.f64 t) (+.f64 y z)))
	0.5b	(fma.f64 (.f64 x (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 y))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 4)))) (cbrt.f64 (log.f64 y)) (-.f64 (log.f64 t) (+.f64 y z)))
✓	0.1b	(-.f64 (fma.f64 x (log.f64 y) (log.f64 t)) (+.f64 y z))
	41.2b	(pow.f64 (sqrt.f64 (-.f64 (fma.f64 x (log.f64 y) (log.f64 t)) (+.f64 y z))) 2)
▶	0.3b	(fma.f64 (*.f64 (cbrt.f64 (pow.f64 (log.f64 y) 2)) x) (cbrt.f64 (log.f64 y)) (-.f64 (log.f64 t) (+.f64 y z)))
	34.8b	(fma.f64 (*.f64 x (sqrt.f64 (log.f64 y))) (sqrt.f64 (log.f64 y)) (-.f64 (log.f64 t) (+.f64 y z)))
	0.5b	(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2) x)) 3) (cbrt.f64 (log.f64 y)) (-.f64 (log.f64 t) (+.f64 y z)))

Compiler

Compiled 2895 to 1060 computations (63.4% saved)

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (cbrt.f64 (pow.f64 (log.f64 y) 2)) x)
✓	0.5b	(cbrt.f64 (pow.f64 (log.f64 y) 2))
	0.5b	(cbrt.f64 (log.f64 y))
✓	0.6b	(pow.f64 (log.f64 y) 2)

series310.0ms (5.6%)

Counts

3 → 44

Calls

3 calls:

235.0ms	(*.f64 (cbrt.f64 (pow.f64 (log.f64 y) 2)) x)
53.0ms	(cbrt.f64 (pow.f64 (log.f64 y) 2))
22.0ms	(pow.f64 (log.f64 y) 2)

rewrite39.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

581×	`log1p-expm1-u_binary64`
581×	`expm1-log1p-u_binary64`
319×	`log-prod_binary64`
125×	`expm1-udef_binary64`
125×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	25
1	156	25
2	1702	25

Stop Event

1×	node limit

Counts

3 → 66

Calls

3 calls:

38.0ms	(*.f64 (cbrt.f64 (pow.f64 (log.f64 y) 2)) x)
38.0ms	(cbrt.f64 (pow.f64 (log.f64 y) 2))
38.0ms	(pow.f64 (log.f64 y) 2)

simplify36.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

650×	`fma-neg_binary64`
585×	`associate-l_binary64`
546×	`unswap-sqr_binary64`
428×	`fma-def_binary64`
241×	`unsub-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	424
1	55	408
2	97	408
3	276	408
4	954	408
5	3642	408

Stop Event

1×	node limit

Counts

110 → 76

prune119.0ms (2.1%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	101	2	103
Fresh	2	5	7
Picked	0	1	1
Done	0	1	1
Total	103	9	112

Error

0.0b

Counts

112 → 9

Alt Table

Status	Error	Program
✓	0.1b	(-.f64 (fma.f64 x (log.f64 y) (log.f64 t)) (+.f64 y z))
	29.4b	(fma.f64 (.f64 (cbrt.f64 (pow.f64 (log.f64 y) 2)) x) (.f64 (cbrt.f64 -1) (pow.f64 (log.f64 (/.f64 1 y)) 1/3)) (-.f64 (log.f64 t) (+.f64 y z)))
	29.5b	(fma.f64 (.f64 x (pow.f64 (cbrt.f64 (log.f64 y)) 2)) (.f64 (cbrt.f64 -1) (pow.f64 (log.f64 (/.f64 1 y)) 1/3)) (-.f64 (log.f64 t) (+.f64 y z)))
	0.6b	(-.f64 (pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t))) 3) (+.f64 y z))
	0.5b	(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (log.f64 y)) (-.f64 (log.f64 t) (+.f64 y z)))
▶	0.3b	(fma.f64 (.f64 (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2) (cbrt.f64 (pow.f64 (log.f64 y) 4)))) x) (cbrt.f64 (log.f64 y)) (-.f64 (log.f64 t) (+.f64 y z)))
	41.2b	(pow.f64 (sqrt.f64 (-.f64 (fma.f64 x (log.f64 y) (log.f64 t)) (+.f64 y z))) 2)
✓	0.3b	(fma.f64 (*.f64 (cbrt.f64 (pow.f64 (log.f64 y) 2)) x) (cbrt.f64 (log.f64 y)) (-.f64 (log.f64 t) (+.f64 y z)))
	34.8b	(fma.f64 (*.f64 x (sqrt.f64 (log.f64 y))) (sqrt.f64 (log.f64 y)) (-.f64 (log.f64 t) (+.f64 y z)))

Compiler

Compiled 2525 to 1056 computations (58.2% saved)

localize17.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.5b	(cbrt.f64 (log.f64 y))
	0.5b	(pow.f64 (cbrt.f64 (log.f64 y)) 2)
✓	0.5b	(cbrt.f64 (pow.f64 (log.f64 y) 4))
✓	0.9b	(pow.f64 (log.f64 y) 4)

series81.0ms (1.5%)

Counts

2 → 20

Calls

2 calls:

54.0ms	(cbrt.f64 (pow.f64 (log.f64 y) 4))
27.0ms	(pow.f64 (log.f64 y) 4)

rewrite33.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

430×	`log1p-expm1-u_binary64`
430×	`expm1-log1p-u_binary64`
313×	`unpow-prod-down_binary64`
218×	`log-prod_binary64`
131×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	14
1	120	14
2	1284	14

Stop Event

1×	node limit

Counts

2 → 75

Calls

2 calls:

32.0ms	(cbrt.f64 (pow.f64 (log.f64 y) 4))
32.0ms	(pow.f64 (log.f64 y) 4)

simplify28.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

629×	`unswap-sqr_binary64`
455×	`associate-l_binary64`
369×	`associate-r_binary64`
318×	`distribute-rgt-in_binary64`
261×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	160
1	46	160
2	74	144
3	165	144
4	609	144
5	3372	144

Stop Event

1×	node limit

Counts

95 → 81

prune171.0ms (3.1%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	156	1	157
Fresh	1	5	6
Picked	1	0	1
Done	0	2	2
Total	158	8	166

Error

Counts

166 → 8

Alt Table

Status	Error	Program
	29.5b	(fma.f64 (.f64 x (pow.f64 (cbrt.f64 (log.f64 y)) 2)) (.f64 (cbrt.f64 -1) (pow.f64 (log.f64 (/.f64 1 y)) 1/3)) (-.f64 (log.f64 t) (+.f64 y z)))
	0.6b	(-.f64 (pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t))) 3) (+.f64 y z))
	0.5b	(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (log.f64 y)) (-.f64 (log.f64 t) (+.f64 y z)))
✓	0.1b	(-.f64 (fma.f64 x (log.f64 y) (log.f64 t)) (+.f64 y z))
	41.2b	(pow.f64 (sqrt.f64 (-.f64 (fma.f64 x (log.f64 y) (log.f64 t)) (+.f64 y z))) 2)
✓	0.3b	(fma.f64 (*.f64 (cbrt.f64 (pow.f64 (log.f64 y) 2)) x) (cbrt.f64 (log.f64 y)) (-.f64 (log.f64 t) (+.f64 y z)))
	29.4b	(fma.f64 (.f64 (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2) (cbrt.f64 (pow.f64 (log.f64 y) 4)))) x) (*.f64 (cbrt.f64 -1) (pow.f64 (log.f64 (/.f64 1 y)) 1/3)) (-.f64 (log.f64 t) (+.f64 y z)))
	34.8b	(fma.f64 (*.f64 x (sqrt.f64 (log.f64 y))) (sqrt.f64 (log.f64 y)) (-.f64 (log.f64 t) (+.f64 y z)))

Compiler

Compiled 4635 to 2027 computations (56.3% saved)

regimes650.0ms (11.7%)

Accuracy

Total 0.1b remaining (66.4%)

Threshold costs 0.1b (66.4%)

Counts

82 → 1

Compiler

Compiled 13758 to 9007 computations (34.5% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	15
1	13	15
2	22	15
3	30	15
4	35	15
5	37	15

Stop Event

1×

saturated

end124.0ms (2.2%)

Compiler: Compiled 197 to 136 computations (31% saved)

Details

analyze362.0ms (6.5%)

sample1.3s (23.9%)

simplify38.0ms (0.7%)

prune3.0ms (0%)

localize9.0ms (0.2%)

series687.0ms (12.4%)

rewrite60.0ms (1.1%)

simplify36.0ms (0.7%)

prune99.0ms (1.8%)

localize13.0ms (0.2%)

series1.0s (18.8%)

rewrite56.0ms (1%)

simplify38.0ms (0.7%)

prune145.0ms (2.6%)

localize14.0ms (0.3%)

series310.0ms (5.6%)

rewrite39.0ms (0.7%)

simplify36.0ms (0.7%)

prune119.0ms (2.1%)

localize17.0ms (0.3%)

series81.0ms (1.5%)

rewrite33.0ms (0.6%)

simplify28.0ms (0.5%)

prune171.0ms (3.1%)

regimes650.0ms (11.7%)

simplify2.0ms (0%)

end124.0ms (2.2%)

Profiling