Details

analyze117.0ms (3.3%)

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
50%	50%	0.1%	5
56.2%	43.7%	0.1%	6
74.9%	25%	0.1%	7
76.5%	23.4%	0.1%	8
84.3%	15.6%	0.1%	9
86.2%	13.7%	0.1%	10
91.3%	8.6%	0.1%	11
92.6%	7.3%	0.1%	12
95.4%	4.5%	0.1%	13
96.1%	3.8%	0.1%	14

Compiler

Compiled 9 to 6 computations (33.3% saved)

sample1.7s (48.2%)

Results

682.0ms	5625×	body	128	valid
642.0ms	1258×	body	1024	valid
260.0ms	878×	body	512	valid
107.0ms	489×	body	256	valid
5.0ms	6×	body	2048	valid

Compiler

Compiled 26 to 17 computations (34.6% saved)

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
2×	`associate-/l*_binary64`
1×	`associate-*r/_binary64`
1×	`associate-*l/_binary64`
1×	`associate-/r/_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	9
1	9	9
2	12	9
3	16	9
4	17	9
5	17	9

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.1b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	0.1b	(*.f64 x (/.f64 (sin.f64 y) y))

Compiler

Compiled 24 to 15 computations (37.5% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 x (/.f64 (sin.f64 y) y))
✓	0.1b	(/.f64 (sin.f64 y) y)

series14.0ms (0.4%)

Counts

2 → 28

Calls

2 calls:

11.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
3.0ms	(/.f64 (sin.f64 y) y)

rewrite48.0ms (1.3%)

Algorithm

2×	batch-egg-rewrite

Rules

636×	`log1p-expm1-u_binary64`
636×	`expm1-log1p-u_binary64`
349×	`log-prod_binary64`
119×	`expm1-udef_binary64`
119×	`log1p-udef_binary64`

Counts

2 → 63

Calls

2 calls:

46.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
46.0ms	(/.f64 (sin.f64 y) y)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
1	125	15
2	1638	15
3	5201	15
0	0	0
1	0	0

simplify48.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

620×	`associate-l_binary64`
561×	`fma-def_binary64`
479×	`associate-r_binary64`
467×	`distribute-rgt-out--_binary64`
430×	`cancel-sign-sub-inv_binary64`

Counts

91 → 77

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	35	306
1	97	299
2	262	285
3	777	281
4	3078	281
5	5140	281

prune41.0ms (1.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	72	5	77
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	72	6	78

Error

0.0b

Counts

78 → 6

Alt Table

Status	Error	Program
✓	0.1b	(*.f64 x (/.f64 (sin.f64 y) y))
	30.0b	(pow.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x)) 2)
▶	0.1b	(/.f64 x (/.f64 y (sin.f64 y)))
	35.7b	(.f64 x (.f64 (/.f64 (sqrt.f64 (sin.f64 y)) 1) (/.f64 (sqrt.f64 (sin.f64 y)) y)))
	0.2b	(.f64 x (.f64 (sin.f64 y) (/.f64 1 y)))
	6.4b	(/.f64 (*.f64 (sin.f64 y) x) y)

Compiler

Compiled 970 to 442 computations (54.4% saved)

localize4.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 x (/.f64 y (sin.f64 y)))
✓	0.1b	(/.f64 y (sin.f64 y))

series19.0ms (0.5%)

Counts

2 → 28

Calls

2 calls:

11.0ms	(/.f64 x (/.f64 y (sin.f64 y)))
8.0ms	(/.f64 y (sin.f64 y))

rewrite48.0ms (1.3%)

Algorithm

2×	batch-egg-rewrite

Rules

732×	`log1p-expm1-u_binary64`
732×	`expm1-log1p-u_binary64`
125×	`expm1-udef_binary64`
125×	`log1p-udef_binary64`
76×	`egg-rr`

Counts

2 → 76

Calls

2 calls:

47.0ms	(/.f64 x (/.f64 y (sin.f64 y)))
47.0ms	(/.f64 y (sin.f64 y))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
1	131	15
2	1860	15
3	5051	15
0	0	0
1	0	0

simplify47.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

614×	`associate-l_binary64`
613×	`fma-def_binary64`
535×	`distribute-rgt-out_binary64`
508×	`associate-r_binary64`
468×	`distribute-rgt-out--_binary64`

Counts

104 → 91

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	38	302
1	98	299
2	262	289
3	786	283
4	3092	283
5	5344	283

prune56.0ms (1.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	88	3	91
Fresh	4	0	4
Picked	1	0	1
Done	0	1	1
Total	93	4	97

Error

Counts

97 → 4

Alt Table

Status	Error	Program
✓	0.1b	(*.f64 x (/.f64 (sin.f64 y) y))
	9.4b	(*.f64 (sin.f64 y) (/.f64 x y))
▶	0.1b	(/.f64 x (pow.f64 (/.f64 (sin.f64 y) y) -1))
	1.3b	(/.f64 x (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (/.f64 y (cbrt.f64 (sin.f64 y)))))

Compiler

Compiled 1089 to 463 computations (57.5% saved)

localize5.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 x (pow.f64 (/.f64 (sin.f64 y) y) -1))
	0.1b	(/.f64 (sin.f64 y) y)
✓	0.1b	(pow.f64 (/.f64 (sin.f64 y) y) -1)

series21.0ms (0.6%)

Counts

2 → 36

Calls

2 calls:

13.0ms	(/.f64 x (pow.f64 (/.f64 (sin.f64 y) y) -1))
8.0ms	(pow.f64 (/.f64 (sin.f64 y) y) -1)

rewrite52.0ms (1.5%)

Algorithm

2×	batch-egg-rewrite

Rules

831×	`log1p-expm1-u_binary64`
831×	`expm1-log1p-u_binary64`
86×	`add-sqr-sqrt_binary64`
79×	`add-cbrt-cube_binary64`
79×	`add-log-exp_binary64`

Counts

2 → 77

Calls

2 calls:

51.0ms	(/.f64 x (pow.f64 (/.f64 (sin.f64 y) y) -1))
51.0ms	(pow.f64 (/.f64 (sin.f64 y) y) -1)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	21
1	171	15
2	2134	15
3	5212	15
0	0	0
1	0	0

simplify50.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

614×	`associate-l_binary64`
613×	`fma-def_binary64`
535×	`distribute-rgt-out_binary64`
508×	`associate-r_binary64`
468×	`distribute-rgt-out--_binary64`

Counts

113 → 93

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	39	350
1	99	347
2	262	337
3	786	331
4	3092	331
5	5344	331

prune79.0ms (2.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	136	0	136
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	136	4	140

Error

Counts

140 → 4

Alt Table

Status	Error	Program
✓	0.1b	(*.f64 x (/.f64 (sin.f64 y) y))
	9.4b	(*.f64 (sin.f64 y) (/.f64 x y))
✓	0.1b	(/.f64 x (pow.f64 (/.f64 (sin.f64 y) y) -1))
▶	1.3b	(/.f64 x (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (/.f64 y (cbrt.f64 (sin.f64 y)))))

Compiler

Compiled 1709 to 771 computations (54.9% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 y)) 2))
✓	0.3b	(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (/.f64 y (cbrt.f64 (sin.f64 y))))
✓	0.5b	(pow.f64 (cbrt.f64 (sin.f64 y)) 2)
✓	0.6b	(cbrt.f64 (sin.f64 y))

series656.0ms (18.3%)

Counts

4 → 48

Calls

4 calls:

307.0ms	(/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 y)) 2))
175.0ms	(pow.f64 (cbrt.f64 (sin.f64 y)) 2)
166.0ms	(cbrt.f64 (sin.f64 y))
7.0ms	(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (/.f64 y (cbrt.f64 (sin.f64 y))))

rewrite72.0ms (2%)

Algorithm

2×	batch-egg-rewrite

Rules

463×	`log-prod_binary64`
234×	`pow2_binary64`
178×	`pow-unpow_binary64`
168×	`pow1/3_binary64`
162×	`expm1-udef_binary64`

Counts

4 → 151

Calls

4 calls:

69.0ms	(/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 y)) 2))
69.0ms	(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (/.f64 y (cbrt.f64 (sin.f64 y))))
69.0ms	(pow.f64 (cbrt.f64 (sin.f64 y)) 2)
69.0ms	(cbrt.f64 (sin.f64 y))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	27
1	210	23
2	2415	23
3	5133	23
0	0	0
1	0	0

simplify82.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

847×	`fma-def_binary64`
806×	`fma-neg_binary64`
601×	`unswap-sqr_binary64`
464×	`cancel-sign-sub-inv_binary64`
289×	`*-commutative_binary64`

Counts

199 → 186

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	90	544
1	248	540
2	573	528
3	1407	520
4	2838	520
5	4689	520
6	4823	520
7	5004	520

prune103.0ms (2.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	220	0	220
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	220	4	224

Error

Counts

224 → 4

Alt Table

Status	Error	Program
✓	0.1b	(*.f64 x (/.f64 (sin.f64 y) y))
	9.4b	(*.f64 (sin.f64 y) (/.f64 x y))
✓	0.1b	(/.f64 x (pow.f64 (/.f64 (sin.f64 y) y) -1))
✓	1.3b	(/.f64 x (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (/.f64 y (cbrt.f64 (sin.f64 y)))))

Compiler

Compiled 3864 to 1978 computations (48.8% saved)

regimes213.0ms (6%)

Accuracy

Total 0.1b remaining (67.2%)

Threshold costs 0.1b (67.2%)

Counts

60 → 1

Compiler

Compiled 2968 to 2034 computations (31.5% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	9
1	7	9
2	7	9

end54.0ms (1.5%)

Compiler: Compiled 59 to 38 computations (35.6% saved)

Details

analyze117.0ms (3.3%)

sample1.7s (48.2%)

simplify7.0ms (0.2%)

prune1.0ms (0%)

localize5.0ms (0.2%)

series14.0ms (0.4%)

rewrite48.0ms (1.3%)

simplify48.0ms (1.4%)

prune41.0ms (1.1%)

localize4.0ms (0.1%)

series19.0ms (0.5%)

rewrite48.0ms (1.3%)

simplify47.0ms (1.3%)

prune56.0ms (1.6%)

localize5.0ms (0.2%)

series21.0ms (0.6%)

rewrite52.0ms (1.5%)

simplify50.0ms (1.4%)

prune79.0ms (2.2%)

localize9.0ms (0.3%)

series656.0ms (18.3%)

rewrite72.0ms (2%)

simplify82.0ms (2.3%)

prune103.0ms (2.9%)

regimes213.0ms (6%)

simplify2.0ms (0.1%)

end54.0ms (1.5%)

Profiling