Details

analyze5.0ms (0.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
25%	50%	25%	3
50%	25%	25%	4
62.5%	12.5%	25%	5
68.7%	6.2%	25%	6
71.8%	3.1%	25%	7
73.4%	1.6%	25%	8
74.2%	0.8%	25%	9
74.6%	0.4%	25%	10
74.8%	0.2%	25%	11
74.9%	0.1%	25%	12
74.9%	0%	25%	13
74.9%	0%	25%	14

Compiler

Compiled 10 to 8 computations (20% saved)

sample756.0ms (44.5%)

Results

742.0ms	8251×	body	128	valid
2.0ms	5×	body	2048	valid

Compiler

Compiled 20 to 16 computations (20% saved)

preprocess16.0ms (0.9%)

Algorithm

2×	egg-herbie

Rules

2×	`+-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	12
1	11	12
0	1	1

Stop Event

1×	saturated
1×	saturated

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify6.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	12
1	11	12

Stop Event

1×

saturated

Counts

1 → 1

prune1.0ms (0.1%)

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

0.2b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	0.2b	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))

Compiler

Compiled 27 to 21 computations (22.2% saved)

localize4.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1 (sqrt.f64 (+.f64 x 1)))
✓	0.2b	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))

series30.0ms (1.8%)

Counts

2 → 8

Calls

6 calls:

12.0ms	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))	x	-inf
12.0ms	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))	x	inf
2.0ms	(+.f64 1 (sqrt.f64 (+.f64 x 1)))	x	-inf
2.0ms	(+.f64 1 (sqrt.f64 (+.f64 x 1)))	x	inf
1.0ms	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))	x	0

rewrite48.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

804×	`log1p-expm1-u_binary64`
804×	`expm1-log1p-u_binary64`
424×	`prod-diff_binary64`
76×	`add-sqr-sqrt_binary64`
73×	`add-cbrt-cube_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	21
1	158	21
2	2207	21

Stop Event

1×	node limit

Counts

2 → 67

simplify24.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

431×	`fma-def_binary64`
363×	`distribute-rgt-neg-in_binary64`
305×	`distribute-lft-neg-in_binary64`
251×	`distribute-lft-out--_binary64`
217×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	26	111
1	76	101
2	196	93
3	685	78
4	2574	78

Stop Event

1×	node limit

Counts

75 → 81

prune63.0ms (3.7%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	79	2	81
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	80	2	82

Error

Counts

82 → 2

Alt Table

Status	Error	Program
▶	22.8b	(-.f64 (+.f64 (.f64 1/16 (pow.f64 x 3)) (.f64 1/2 x)) (*.f64 1/8 (pow.f64 x 2)))
	37.9b	(/.f64 x (/.f64 x (-.f64 (sqrt.f64 (+.f64 x 1)) 1)))

Compiler

Compiled 1128 to 883 computations (21.7% saved)

localize8.0ms (0.5%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 1/16 (pow.f64 x 3)) (.f64 1/2 x))
✓	7.8b	(-.f64 (+.f64 (.f64 1/16 (pow.f64 x 3)) (.f64 1/2 x)) (*.f64 1/8 (pow.f64 x 2)))

series6.0ms (0.4%)

Counts

2 → 19

Calls

6 calls:

1.0ms	(-.f64 (+.f64 (.f64 1/16 (pow.f64 x 3)) (.f64 1/2 x)) (*.f64 1/8 (pow.f64 x 2)))	x	-inf
1.0ms	(+.f64 (.f64 1/16 (pow.f64 x 3)) (.f64 1/2 x))	x	-inf
1.0ms	(+.f64 (.f64 1/16 (pow.f64 x 3)) (.f64 1/2 x))	x	inf
1.0ms	(-.f64 (+.f64 (.f64 1/16 (pow.f64 x 3)) (.f64 1/2 x)) (*.f64 1/8 (pow.f64 x 2)))	x	inf
1.0ms	(-.f64 (+.f64 (.f64 1/16 (pow.f64 x 3)) (.f64 1/2 x)) (*.f64 1/8 (pow.f64 x 2)))	x	0

rewrite81.0ms (4.7%)

Algorithm

1×	batch-egg-rewrite

Rules

676×	`fma-def_binary64`
317×	`fma-neg_binary64`
245×	`expm1-udef_binary64`
245×	`log1p-udef_binary64`
186×	`egg-rr`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	31
1	318	29
2	3868	29

Stop Event

1×	node limit

Counts

2 → 186

simplify55.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

709×	`distribute-rgt-neg-in_binary64`
622×	`associate-l_binary64`
536×	`unswap-sqr_binary64`
516×	`fma-def_binary64`
407×	`associate-r_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	16	227
1	46	213
2	102	206
3	301	188
4	929	180
5	3767	180

Stop Event

1×	node limit

Counts

205 → 196

prune141.0ms (8.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	196	0	196
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	196	2	198

Error

Counts

198 → 2

Alt Table

Status	Error	Program
✓	22.8b	(-.f64 (+.f64 (.f64 1/16 (pow.f64 x 3)) (.f64 1/2 x)) (*.f64 1/8 (pow.f64 x 2)))
▶	37.9b	(/.f64 x (/.f64 x (-.f64 (sqrt.f64 (+.f64 x 1)) 1)))

Compiler

Compiled 4622 to 3426 computations (25.9% saved)

localize6.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 x (-.f64 (sqrt.f64 (+.f64 x 1)) 1))
✓	0.2b	(/.f64 x (/.f64 x (-.f64 (sqrt.f64 (+.f64 x 1)) 1)))
✓	3.1b	(-.f64 (sqrt.f64 (+.f64 x 1)) 1)

series37.0ms (2.2%)

Counts

3 → 12

Calls

9 calls:

12.0ms	(/.f64 x (-.f64 (sqrt.f64 (+.f64 x 1)) 1))	x	inf
11.0ms	(/.f64 x (-.f64 (sqrt.f64 (+.f64 x 1)) 1))	x	-inf
2.0ms	(/.f64 x (/.f64 x (-.f64 (sqrt.f64 (+.f64 x 1)) 1)))	x	0
2.0ms	(/.f64 x (/.f64 x (-.f64 (sqrt.f64 (+.f64 x 1)) 1)))	x	-inf
2.0ms	(-.f64 (sqrt.f64 (+.f64 x 1)) 1)	x	-inf

rewrite63.0ms (3.7%)

Algorithm

1×	batch-egg-rewrite

Rules

870×	`expm1-log1p-u_binary64`
512×	`prod-diff_binary64`
149×	`egg-rr`
90×	`log1p-expm1-u_binary64`
86×	`add-cbrt-cube_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	30
1	187	25
2	2682	25

Stop Event

1×	node limit

Counts

3 → 149

simplify26.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

431×	`fma-def_binary64`
363×	`distribute-rgt-neg-in_binary64`
305×	`distribute-lft-neg-in_binary64`
251×	`distribute-lft-out--_binary64`
217×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	26	175
1	76	161
2	196	149
3	685	125
4	2574	125

Stop Event

1×	node limit

Counts

161 → 119

prune70.0ms (4.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	119	0	119
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	119	2	121

Error

Counts

121 → 2

Alt Table

Status	Error	Program
✓	22.8b	(-.f64 (+.f64 (.f64 1/16 (pow.f64 x 3)) (.f64 1/2 x)) (*.f64 1/8 (pow.f64 x 2)))
✓	37.9b	(/.f64 x (/.f64 x (-.f64 (sqrt.f64 (+.f64 x 1)) 1)))

Compiler

Compiled 1823 to 1284 computations (29.6% saved)

regimes205.0ms (12.1%)

Accuracy

Total 0.1b remaining (67.6%)

Threshold costs 0.1b (67.6%)

Counts

102 → 1

Compiler

Compiled 2767 to 2123 computations (23.3% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary64`
1×	`*-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	13	15

Stop Event

1×

saturated

end50.0ms (3%)

Stop Event

1×

done

Compiler

Compiled 49 to 39 computations (20.4% saved)

Details

analyze5.0ms (0.3%)

sample756.0ms (44.5%)

preprocess16.0ms (0.9%)

simplify6.0ms (0.4%)

prune1.0ms (0.1%)

localize4.0ms (0.3%)

series30.0ms (1.8%)

rewrite48.0ms (2.8%)

simplify24.0ms (1.4%)

prune63.0ms (3.7%)

localize8.0ms (0.5%)

series6.0ms (0.4%)

rewrite81.0ms (4.7%)

simplify55.0ms (3.2%)

prune141.0ms (8.3%)

localize6.0ms (0.3%)

series37.0ms (2.2%)

rewrite63.0ms (3.7%)

simplify26.0ms (1.5%)

prune70.0ms (4.1%)

regimes205.0ms (12.1%)

simplify2.0ms (0.1%)

end50.0ms (3%)

Profiling