Details

analyze378.0ms (9.3%)

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
0%	99.9%	0.1%	5
12.5%	87.4%	0.1%	6
28.1%	71.8%	0.1%	7
42.1%	57.7%	0.1%	8
43.7%	56.2%	0.1%	9
64.4%	35.5%	0.1%	10
71.6%	28.3%	0.1%	11
72.2%	27.7%	0.1%	12
81.6%	18.2%	0.2%	13
84.9%	14.9%	0.2%	14

Compiler

Compiled 16 to 9 computations (43.8% saved)

sample1.1s (28%)

Alt Table

Status	Error	Program
▶	17.6b	(/.f64 (.f64 (neg.f64 t1) v) (.f64 (+.f64 t1 u) (+.f64 t1 u)))

Results

1.0s	8256×	body	128	valid
25.0ms	250×	body	128	invalid

Compiler

Compiled 77 to 42 computations (45.5% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (+.f64 t1 u) (+.f64 t1 u))
✓	17.3b	(/.f64 (.f64 (neg.f64 t1) v) (.f64 (+.f64 t1 u) (+.f64 t1 u)))

series86.0ms (2.1%)

Counts

2 → 60

Calls

2 calls:

80.0ms	(/.f64 (.f64 (neg.f64 t1) v) (.f64 (+.f64 t1 u) (+.f64 t1 u)))
5.0ms	(*.f64 (+.f64 t1 u) (+.f64 t1 u))

rewrite93.0ms (2.3%)

Algorithm

2×	batch-egg-rewrite

Rules

961×	`prod-diff_binary64`
173×	`log1p-udef_binary64`
172×	`expm1-udef_binary64`
111×	`add-sqr-sqrt_binary64`
106×	`log1p-expm1-u_binary64`

Counts

2 → 76

Calls

2 calls:

91.0ms	(*.f64 (+.f64 t1 u) (+.f64 t1 u))
91.0ms	(/.f64 (.f64 (neg.f64 t1) v) (.f64 (+.f64 t1 u) (+.f64 t1 u)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	22
1	212	20
2	2834	20
3	4986	20
4	5131	20
0	0	0
1	0	0

prune91.0ms (2.2%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	128	8	136
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	128	9	137

Error

8.2b

Counts

137 → 9

Alt Table

Status	Error	Program
	41.8b	(sqrt.f64 (/.f64 (pow.f64 (*.f64 t1 v) 2) (pow.f64 (+.f64 t1 u) 4)))
	35.9b	(/.f64 (.f64 (neg.f64 t1) v) (+.f64 (pow.f64 t1 2) (.f64 2 (*.f64 t1 u))))
	42.4b	(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 t1 v)) 2) (+.f64 t1 u)) (/.f64 (cbrt.f64 (*.f64 t1 v)) (+.f64 t1 u)))
	28.6b	(/.f64 (*.f64 (neg.f64 t1) v) (sqrt.f64 (pow.f64 (+.f64 t1 u) 4)))
	30.7b	(*.f64 -1 (/.f64 v t1))
	44.2b	(/.f64 (.f64 (neg.f64 t1) v) (/.f64 (.f64 (+.f64 (pow.f64 t1 3) (pow.f64 u 3)) (+.f64 t1 u)) (fma.f64 t1 t1 (*.f64 u (+.f64 t1 u)))))
✓	17.6b	(/.f64 (.f64 (neg.f64 t1) v) (.f64 (+.f64 t1 u) (+.f64 t1 u)))
▶	17.9b	(.f64 (.f64 t1 v) (/.f64 1 (neg.f64 (pow.f64 (+.f64 t1 u) 2))))
	42.2b	(.f64 t1 (.f64 v (pow.f64 (+.f64 t1 u) -2)))

Compiler

Compiled 2605 to 1243 computations (52.3% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 (+.f64 t1 u) 2)
✓	0.4b	(/.f64 1 (neg.f64 (pow.f64 (+.f64 t1 u) 2)))
✓	17.4b	(.f64 (.f64 t1 v) (/.f64 1 (neg.f64 (pow.f64 (+.f64 t1 u) 2))))

series119.0ms (2.9%)

Counts

3 → 84

Calls

3 calls:

99.0ms	(.f64 (.f64 t1 v) (/.f64 1 (neg.f64 (pow.f64 (+.f64 t1 u) 2))))
14.0ms	(/.f64 1 (neg.f64 (pow.f64 (+.f64 t1 u) 2)))
5.0ms	(pow.f64 (+.f64 t1 u) 2)

rewrite65.0ms (1.6%)

Algorithm

2×	batch-egg-rewrite

Rules

554×	`log-prod_binary64`
470×	`prod-diff_binary64`
200×	`fma-def_binary64`
193×	`expm1-udef_binary64`
193×	`log1p-udef_binary64`

Counts

3 → 114

Calls

3 calls:

62.0ms	(pow.f64 (+.f64 t1 u) 2)
62.0ms	(/.f64 1 (neg.f64 (pow.f64 (+.f64 t1 u) 2)))
62.0ms	(.f64 (.f64 t1 v) (/.f64 1 (neg.f64 (pow.f64 (+.f64 t1 u) 2))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	34
1	256	30
2	2741	30
3	5546	30
0	0	0
1	0	0

prune156.0ms (3.9%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	195	3	198
Fresh	1	6	7
Picked	1	0	1
Done	0	1	1
Total	197	10	207

Error

8.2b

Counts

207 → 10

Alt Table

Status	Error	Program
	42.4b	(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 t1 v)) 2) (+.f64 t1 u)) (/.f64 (cbrt.f64 (*.f64 t1 v)) (+.f64 t1 u)))
	28.8b	(.f64 (.f64 t1 v) (/.f64 1 (neg.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 t1 u)) 2) (cbrt.f64 (pow.f64 (+.f64 t1 u) 4))))))
	41.8b	(sqrt.f64 (/.f64 (pow.f64 (*.f64 t1 v) 2) (pow.f64 (+.f64 t1 u) 4)))
	35.9b	(/.f64 (.f64 (neg.f64 t1) v) (+.f64 (pow.f64 t1 2) (.f64 2 (*.f64 t1 u))))
	30.7b	(*.f64 -1 (/.f64 v t1))
	44.2b	(/.f64 (.f64 (neg.f64 t1) v) (/.f64 (.f64 (+.f64 (pow.f64 t1 3) (pow.f64 u 3)) (+.f64 t1 u)) (fma.f64 t1 t1 (*.f64 u (+.f64 t1 u)))))
✓	17.6b	(/.f64 (.f64 (neg.f64 t1) v) (.f64 (+.f64 t1 u) (+.f64 t1 u)))
	42.2b	(.f64 t1 (.f64 v (pow.f64 (+.f64 t1 u) -2)))
▶	18.0b	(.f64 (.f64 t1 v) (/.f64 1 (neg.f64 (/.f64 (+.f64 t1 u) (/.f64 1 (+.f64 t1 u))))))
	40.7b	(.f64 (.f64 t1 v) (/.f64 1 (neg.f64 (.f64 (sqrt.f64 (+.f64 t1 u)) (.f64 (sqrt.f64 (+.f64 t1 u)) (+.f64 t1 u))))))

Compiler

Compiled 3968 to 2228 computations (43.9% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1 (+.f64 t1 u))
✓	0.1b	(/.f64 (+.f64 t1 u) (/.f64 1 (+.f64 t1 u)))
✓	0.4b	(/.f64 1 (neg.f64 (/.f64 (+.f64 t1 u) (/.f64 1 (+.f64 t1 u)))))
✓	17.4b	(.f64 (.f64 t1 v) (/.f64 1 (neg.f64 (/.f64 (+.f64 t1 u) (/.f64 1 (+.f64 t1 u))))))

series127.0ms (3.2%)

Counts

4 → 108

Calls

4 calls:

99.0ms	(.f64 (.f64 t1 v) (/.f64 1 (neg.f64 (/.f64 (+.f64 t1 u) (/.f64 1 (+.f64 t1 u))))))
13.0ms	(/.f64 1 (neg.f64 (/.f64 (+.f64 t1 u) (/.f64 1 (+.f64 t1 u)))))
10.0ms	(/.f64 1 (+.f64 t1 u))
5.0ms	(/.f64 (+.f64 t1 u) (/.f64 1 (+.f64 t1 u)))

rewrite105.0ms (2.6%)

Algorithm

2×	batch-egg-rewrite

Rules

653×	`prod-diff_binary64`
196×	`expm1-udef_binary64`
196×	`log1p-udef_binary64`
194×	`fma-def_binary64`
183×	`log-pow_binary64`

Counts

4 → 149

Calls

4 calls:

101.0ms	(/.f64 1 (+.f64 t1 u))
101.0ms	(/.f64 (+.f64 t1 u) (/.f64 1 (+.f64 t1 u)))
101.0ms	(/.f64 1 (neg.f64 (/.f64 (+.f64 t1 u) (/.f64 1 (+.f64 t1 u)))))
101.0ms	(.f64 (.f64 t1 v) (/.f64 1 (neg.f64 (/.f64 (+.f64 t1 u) (/.f64 1 (+.f64 t1 u))))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	59
1	264	34
2	2975	34
3	4932	34
4	5251	34
0	0	0
1	0	0

prune194.0ms (4.8%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	253	4	257
Fresh	5	3	8
Picked	1	0	1
Done	0	1	1
Total	259	8	267

Error

8.1b

Counts

267 → 8

Alt Table

Status	Error	Program
	30.7b	(*.f64 -1 (/.f64 v t1))
	44.5b	(log.f64 (pow.f64 (pow.f64 (exp.f64 t1) v) (pow.f64 (+.f64 t1 u) -2)))
	35.9b	(/.f64 (.f64 (neg.f64 t1) v) (+.f64 (pow.f64 t1 2) (.f64 2 (*.f64 t1 u))))
	17.9b	(.f64 (.f64 t1 v) (*.f64 (/.f64 -1 (+.f64 t1 u)) (/.f64 1 (+.f64 t1 u))))
	28.8b	(.f64 (.f64 t1 v) (/.f64 1 (neg.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 t1 u)) 2) (cbrt.f64 (pow.f64 (+.f64 t1 u) 4))))))
✓	17.6b	(/.f64 (.f64 (neg.f64 t1) v) (.f64 (+.f64 t1 u) (+.f64 t1 u)))
▶	17.8b	(.f64 (.f64 t1 v) (*.f64 -1 (pow.f64 (+.f64 t1 u) -2)))
	18.4b	(.f64 (.f64 t1 v) (/.f64 1 (neg.f64 (/.f64 (+.f64 t1 u) (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 t1 u))) 3)))))

Compiler

Compiled 5073 to 2779 computations (45.2% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 (+.f64 t1 u) -2)
✓	17.4b	(.f64 (.f64 t1 v) (*.f64 -1 (pow.f64 (+.f64 t1 u) -2)))

series92.0ms (2.3%)

Counts

2 → 60

Calls

2 calls:

78.0ms	(.f64 (.f64 t1 v) (*.f64 -1 (pow.f64 (+.f64 t1 u) -2)))
14.0ms	(pow.f64 (+.f64 t1 u) -2)

rewrite53.0ms (1.3%)

Algorithm

2×	batch-egg-rewrite

Rules

532×	`log-prod_binary64`
455×	`prod-diff_binary64`
195×	`fma-def_binary64`
187×	`expm1-udef_binary64`
187×	`log1p-udef_binary64`

Counts

2 → 52

Calls

2 calls:

52.0ms	(pow.f64 (+.f64 t1 u) -2)
52.0ms	(.f64 (.f64 t1 v) (*.f64 -1 (pow.f64 (+.f64 t1 u) -2)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	22
1	234	20
2	2569	20
3	5214	20
0	0	0
1	0	0

prune81.0ms (2%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	111	1	112
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	112	8	120

Error

8.1b

Counts

120 → 8

Alt Table

Status	Error	Program
	30.7b	(*.f64 -1 (/.f64 v t1))
	44.5b	(log.f64 (pow.f64 (pow.f64 (exp.f64 t1) v) (pow.f64 (+.f64 t1 u) -2)))
	35.9b	(/.f64 (.f64 (neg.f64 t1) v) (+.f64 (pow.f64 t1 2) (.f64 2 (*.f64 t1 u))))
	17.9b	(.f64 (.f64 t1 v) (*.f64 (/.f64 -1 (+.f64 t1 u)) (/.f64 1 (+.f64 t1 u))))
✓	17.6b	(/.f64 (.f64 (neg.f64 t1) v) (.f64 (+.f64 t1 u) (+.f64 t1 u)))
	28.4b	(.f64 (.f64 t1 v) (*.f64 -1 (sqrt.f64 (pow.f64 (+.f64 t1 u) -4))))
✓	17.8b	(.f64 (.f64 t1 v) (*.f64 -1 (pow.f64 (+.f64 t1 u) -2)))
	18.4b	(.f64 (.f64 t1 v) (/.f64 1 (neg.f64 (/.f64 (+.f64 t1 u) (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 t1 u))) 3)))))

Compiler

Compiled 2264 to 1389 computations (38.6% saved)

regimes1.1s (26.5%)

Accuracy

Total 3.6b remaining (39%)

Threshold costs 0b (0%)

Counts

99 → 3

Compiler

Compiled 6758 to 4550 computations (32.7% saved)

bsearch34.0ms (0.8%)

Steps

Iters	Range		Point
9	1.6241407215843232e+98	2.6823564823519494e+104	5.856055232587807e+99
6	-2.975487830527753e+68	-2.3354381815806897e+67	-2.9140349424536374e+68

Compiler

Compiled 4 to 3 computations (25% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	39
1	26	39
2	33	39
3	44	39
4	52	39
5	56	39
6	57	39
7	57	39

end131.0ms (3.2%)

Compiler: Compiled 181 to 117 computations (35.4% saved)

Details

analyze378.0ms (9.3%)

sample1.1s (28%)

localize6.0ms (0.2%)

series86.0ms (2.1%)

rewrite93.0ms (2.3%)

prune91.0ms (2.2%)

localize8.0ms (0.2%)

series119.0ms (2.9%)

rewrite65.0ms (1.6%)

prune156.0ms (3.9%)

localize9.0ms (0.2%)

series127.0ms (3.2%)

rewrite105.0ms (2.6%)

prune194.0ms (4.8%)

localize7.0ms (0.2%)

series92.0ms (2.3%)

rewrite53.0ms (1.3%)

prune81.0ms (2%)

regimes1.1s (26.5%)

bsearch34.0ms (0.8%)

simplify5.0ms (0.1%)

end131.0ms (3.2%)

Profiling