Details

analyze4.0ms (0.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	25%	25%	4
50%	12.5%	37.5%	5
50%	6.2%	43.8%	6
50%	3.1%	46.9%	7
50%	1.6%	48.5%	8
50%	0.8%	49.2%	9
50%	0.4%	49.6%	10
50.2%	0.2%	49.6%	11
50.2%	0.1%	49.7%	12
50.2%	0%	49.8%	13
50.2%	0%	49.8%	14

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample926.0ms (45.6%)

Results

780.0ms	8256×	body	128	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 26 to 20 computations (23.1% saved)

simplify65.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

668×	`div-sub_binary64`
499×	`fma-def_binary64`
417×	`times-frac_binary64`
411×	`associate-/l*_binary64`
366×	`associate-/r*_binary64`

Counts

1 → 2

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	19	9
2	45	9
3	89	7
4	191	7
5	438	7
6	1294	7
7	3635	7
8	5317	7

prune2.0ms (0.1%)

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

0.0b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.0b	(exp.f64 (fma.f64 x x -1))

Compiler

Compiled 25 to 17 computations (32% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(exp.f64 (fma.f64 x x -1))

series2.0ms (0.1%)

Counts

1 → 4

Calls

1 calls:

2.0ms

(exp.f64 (fma.f64 x x -1))

rewrite1.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`exp-prod_binary64`
2×	`add-log-exp_binary64`
2×	`*-un-lft-identity_binary64`
2×	`add-sqr-sqrt_binary64`
2×	`add-cube-cbrt_binary64`

Counts

1 → 14

Calls

1 calls:

1.0ms

(exp.f64 (fma.f64 x x -1))

simplify52.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

431×	`fma-def_binary64`
418×	`exp-sum_binary64`
378×	`associate-l_binary64`
330×	`unswap-sqr_binary64`
324×	`distribute-lft-out_binary64`

Counts

18 → 23

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	42	221
1	84	206
2	178	190
3	528	183
4	1777	183
5	4482	183
6	5315	183

prune21.0ms (1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	21	2	23
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	22	2	24

Error

0.0b

Counts

24 → 2

Alt Table

Status	Error	Program
	0.0b	(cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 3))
▶	0.0b	(pow.f64 (E.f64) (fma.f64 x x -1))

Compiler

Compiled 282 to 211 computations (25.2% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 (E.f64) (fma.f64 x x -1))

series4.0ms (0.2%)

Counts

1 → 12

Calls

1 calls:

4.0ms

(pow.f64 (E.f64) (fma.f64 x x -1))

rewrite2.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`pow-unpow_binary64`
3×	`*-un-lft-identity_binary64`
3×	`add-sqr-sqrt_binary64`
3×	`unpow-prod-down_binary64`
3×	`add-cube-cbrt_binary64`

Counts

1 → 21

Calls

1 calls:

1.0ms

(pow.f64 (E.f64) (fma.f64 x x -1))

simplify69.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

505×	`fma-def_binary64`
320×	`associate-/l/_binary64`
256×	`*-commutative_binary64`
223×	`distribute-rgt-in_binary64`
209×	`fma-neg_binary64`

Counts

33 → 37

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	57	399
1	124	364
2	296	347
3	969	338
4	2686	337
5	4811	337
6	4986	337
7	4872	337

prune68.0ms (3.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	37	0	37
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	37	2	39

Error

0.0b

Counts

39 → 2

Alt Table

Status	Error	Program
▶	0.0b	(cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 3))
✓	0.0b	(pow.f64 (E.f64) (fma.f64 x x -1))

Compiler

Compiled 446 to 300 computations (32.7% saved)

localize6.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(exp.f64 (fma.f64 x x -1))
✓	1.0b	(pow.f64 (exp.f64 (fma.f64 x x -1)) 3)
✓	1.6b	(cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 3))

series13.0ms (0.6%)

Counts

2 → 16

Calls

2 calls:

11.0ms	(pow.f64 (exp.f64 (fma.f64 x x -1)) 3)
2.0ms	(cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 3))

rewrite6.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`cbrt-prod_binary64`
9×	`*-un-lft-identity_binary64`
9×	`add-sqr-sqrt_binary64`
9×	`add-cube-cbrt_binary64`
8×	`cube-prod_binary64`

Counts

2 → 55

Calls

2 calls:

2.0ms	(pow.f64 (exp.f64 (fma.f64 x x -1)) 3)
2.0ms	(cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 3))

simplify78.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

528×	`associate-l_binary64`
447×	`log-prod_binary64`
441×	`associate-r_binary64`
363×	`distribute-rgt-out_binary64`
254×	`exp-prod_binary64`

Counts

71 → 78

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	94	965
1	190	906
2	570	833
3	2392	825
4	4698	825
5	4924	825

prune85.0ms (4.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	100	1	101
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	101	2	103

Error

Counts

103 → 2

Alt Table

Status	Error	Program
▶	0.0b	(cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 3)) 3))
✓	0.0b	(pow.f64 (E.f64) (fma.f64 x x -1))

Compiler

Compiled 1480 to 1162 computations (21.5% saved)

localize8.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 3)) 3)
	1.0b	(pow.f64 (exp.f64 (fma.f64 x x -1)) 3)
	1.6b	(cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 3))
✓	1.6b	(cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 3)) 3))

series13.0ms (0.6%)

Counts

2 → 24

Calls

2 calls:

11.0ms	(pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 3)) 3)
2.0ms	(cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 3)) 3))

rewrite17.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

96×	`cbrt-prod_binary64`
50×	`cube-prod_binary64`
50×	`unpow-prod-down_binary64`
20×	`*-un-lft-identity_binary64`
20×	`add-sqr-sqrt_binary64`

Counts

2 → 105

Calls

2 calls:

6.0ms	(cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 3)) 3))
4.0ms	(pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 3)) 3)

simplify105.0ms (5.2%)

Algorithm

1×	egg-herbie

Rules

620×	`associate-l_binary64`
531×	`log-prod_binary64`
526×	`associate-r_binary64`
365×	`distribute-rgt-out_binary64`
309×	`exp-prod_binary64`

Counts

129 → 102

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	126	1992
1	206	1837
2	601	1726
3	2610	1724
4	4652	1724
5	4930	1724

prune147.0ms (7.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	180	0	180
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	180	2	182

Error

Counts

182 → 2

Alt Table

Status	Error	Program
✓	0.0b	(cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 3)) 3))
✓	0.0b	(pow.f64 (E.f64) (fma.f64 x x -1))

Compiler

Compiled 3235 to 2651 computations (18.1% saved)

regimes225.0ms (11.1%)

Accuracy

Total 0.0b remaining (11.8%)

Threshold costs 0.0b (11.8%)

Counts

54 → 1

Compiler

Compiled 3497 to 2764 computations (21% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	5	7

end96.0ms (4.8%)

Compiler: Compiled 31 to 23 computations (25.8% saved)

Details

analyze4.0ms (0.2%)

sample926.0ms (45.6%)

simplify65.0ms (3.2%)

prune2.0ms (0.1%)

localize4.0ms (0.2%)

series2.0ms (0.1%)

rewrite1.0ms (0.1%)

simplify52.0ms (2.5%)

prune21.0ms (1%)

localize5.0ms (0.3%)

series4.0ms (0.2%)

rewrite2.0ms (0.1%)

simplify69.0ms (3.4%)

prune68.0ms (3.4%)

localize6.0ms (0.3%)

series13.0ms (0.6%)

rewrite6.0ms (0.3%)

simplify78.0ms (3.9%)

prune85.0ms (4.2%)

localize8.0ms (0.4%)

series13.0ms (0.6%)

rewrite17.0ms (0.8%)

simplify105.0ms (5.2%)

prune147.0ms (7.3%)

regimes225.0ms (11.1%)

simplify2.0ms (0.1%)

end96.0ms (4.8%)

Profiling