Details

analyze86.0ms (6.3%)

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
25%	74.9%	0.1%	5
50%	50%	0.1%	6
56.2%	40.6%	3.2%	7
68.7%	25%	6.3%	8
71.8%	19.5%	8.7%	9
78%	12.5%	9.5%	10
79.6%	9.6%	10.8%	11
82.7%	6.2%	11%	12
83.5%	4.7%	11.8%	13
85.1%	3.1%	11.8%	14

Compiler

Compiled 14 to 10 computations (28.6% saved)

sample33.0ms (2.4%)

Algorithm

1×

intervals

Results

10.0ms	253×	body	128	valid
0.0ms	2×	body	1024	valid
0.0ms	4×	body	128	invalid
0.0ms	1×	body	512	valid

Compiler

Compiled 29 to 21 computations (27.6% saved)

simplify8.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

24×	`fma-def_binary64`
8×	`*-commutative_binary64`
7×	`+-commutative_binary64`
5×	`associate-+r+_binary64`
5×	`distribute-lft-out_binary64`

Counts

1 → 2

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	13
1	20	10
2	44	7
3	64	7
4	67	7
5	68	7
6	66	7

prune3.0ms (0.2%)

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	(*.f64 d1 (+.f64 d2 30))

Compiler

Compiled 32 to 22 computations (31.3% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 d1 (+.f64 d2 30))

series4.0ms (0.3%)

Counts

1 → 20

Calls

1 calls:

4.0ms

(*.f64 d1 (+.f64 d2 30))

rewrite8.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

5×	`*-un-lft-identity_binary64`
5×	`add-sqr-sqrt_binary64`
4×	`associate-r_binary64`
3×	`associate-l_binary64`
3×	`add-cube-cbrt_binary64`

Counts

1 → 25

Calls

1 calls:

7.0ms

(*.f64 d1 (+.f64 d2 30))

simplify66.0ms (4.8%)

Algorithm

1×	egg-herbie

Rules

898×	`distribute-rgt-in_binary64`
895×	`distribute-lft-in_binary64`
522×	`associate-*l/_binary64`
475×	`fma-def_binary64`
247×	`associate-l_binary64`

Counts

45 → 44

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	53	389
1	127	359
2	385	359
3	925	359
4	2929	359
5	3014	359
6	3452	359
7	4858	359

prune26.0ms (1.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	41	3	44
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	41	4	45

Error

Counts

45 → 4

Alt Table

Status	Error	Program
✓	0.0b	(*.f64 d1 (+.f64 d2 30))
▶	15.9b	(.f64 (.f64 d1 (sqrt.f64 (+.f64 d2 30))) (sqrt.f64 (+.f64 d2 30)))
	17.5b	(/.f64 (*.f64 d1 (fma.f64 d2 d2 -900)) (-.f64 d2 30))
	40.7b	(cbrt.f64 (pow.f64 (*.f64 d1 (+.f64 30 d2)) 3))

Compiler

Compiled 518 to 347 computations (33% saved)

localize5.0ms (0.4%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 d1 (sqrt.f64 (+.f64 d2 30)))
✓	0.2b	(.f64 (.f64 d1 (sqrt.f64 (+.f64 d2 30))) (sqrt.f64 (+.f64 d2 30)))

series23.0ms (1.7%)

Counts

2 → 36

Calls

2 calls:

18.0ms	(*.f64 d1 (sqrt.f64 (+.f64 d2 30)))
6.0ms	(.f64 (.f64 d1 (sqrt.f64 (+.f64 d2 30))) (sqrt.f64 (+.f64 d2 30)))

rewrite20.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`associate-r_binary64`
14×	`sqrt-div_binary64`
11×	`*-un-lft-identity_binary64`
11×	`add-sqr-sqrt_binary64`
10×	`associate-*r/_binary64`

Counts

2 → 59

Calls

2 calls:

9.0ms	(.f64 (.f64 d1 (sqrt.f64 (+.f64 d2 30))) (sqrt.f64 (+.f64 d2 30)))
6.0ms	(*.f64 d1 (sqrt.f64 (+.f64 d2 30)))

simplify75.0ms (5.5%)

Algorithm

1×	egg-herbie

Rules

762×	`fma-def_binary64`
508×	`associate-/r/_binary64`
356×	`associate-/l/_binary64`
308×	`distribute-lft-in_binary64`
308×	`fma-neg_binary64`

Counts

95 → 101

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	121	1198
1	294	1105
2	880	1095
3	2502	1089
4	4891	1089
5	5022	1089

prune56.0ms (4.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	101	0	101
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	101	4	105

Error

Counts

105 → 4

Alt Table

Status	Error	Program
✓	0.0b	(*.f64 d1 (+.f64 d2 30))
✓	15.9b	(.f64 (.f64 d1 (sqrt.f64 (+.f64 d2 30))) (sqrt.f64 (+.f64 d2 30)))
▶	17.5b	(/.f64 (*.f64 d1 (fma.f64 d2 d2 -900)) (-.f64 d2 30))
	40.7b	(cbrt.f64 (pow.f64 (*.f64 d1 (+.f64 30 d2)) 3))

Compiler

Compiled 1881 to 1393 computations (25.9% saved)

localize6.0ms (0.4%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	4.2b	(*.f64 d1 (fma.f64 d2 d2 -900))
✓	12.1b	(/.f64 (*.f64 d1 (fma.f64 d2 d2 -900)) (-.f64 d2 30))

series29.0ms (2.1%)

Counts

2 → 48

Calls

2 calls:

17.0ms	(/.f64 (*.f64 d1 (fma.f64 d2 d2 -900)) (-.f64 d2 30))
11.0ms	(*.f64 d1 (fma.f64 d2 d2 -900))

rewrite10.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`add-sqr-sqrt_binary64`
10×	`*-un-lft-identity_binary64`
9×	`add-cbrt-cube_binary64`
9×	`add-exp-log_binary64`
6×	`add-cube-cbrt_binary64`

Counts

2 → 51

Calls

2 calls:

5.0ms	(/.f64 (*.f64 d1 (fma.f64 d2 d2 -900)) (-.f64 d2 30))
3.0ms	(*.f64 d1 (fma.f64 d2 d2 -900))

simplify66.0ms (4.9%)

Algorithm

1×	egg-herbie

Rules

786×	`div-sub_binary64`
586×	`associate-/l*_binary64`
533×	`times-frac_binary64`
362×	`fma-def_binary64`
297×	`associate-*l/_binary64`

Counts

99 → 88

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	104	1257
1	222	1136
2	874	1135
3	4049	1135
4	6643	1135

prune42.0ms (3.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	88	0	88
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	88	4	92

Error

Counts

92 → 4

Alt Table

Status	Error	Program
✓	0.0b	(*.f64 d1 (+.f64 d2 30))
✓	15.9b	(.f64 (.f64 d1 (sqrt.f64 (+.f64 d2 30))) (sqrt.f64 (+.f64 d2 30)))
✓	17.5b	(/.f64 (*.f64 d1 (fma.f64 d2 d2 -900)) (-.f64 d2 30))
▶	40.7b	(cbrt.f64 (pow.f64 (*.f64 d1 (+.f64 30 d2)) 3))

Compiler

Compiled 1380 to 890 computations (35.5% saved)

localize6.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 d1 (+.f64 30 d2))
✓	0.3b	(pow.f64 (*.f64 d1 (+.f64 30 d2)) 3)
✓	38.9b	(cbrt.f64 (pow.f64 (*.f64 d1 (+.f64 30 d2)) 3))

series32.0ms (2.4%)

Counts

3 → 64

Calls

3 calls:

15.0ms	(pow.f64 (*.f64 d1 (+.f64 30 d2)) 3)
13.0ms	(cbrt.f64 (pow.f64 (*.f64 d1 (+.f64 30 d2)) 3))
5.0ms	(*.f64 d1 (+.f64 30 d2))

rewrite13.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`*-un-lft-identity_binary64`
9×	`add-sqr-sqrt_binary64`
8×	`cbrt-prod_binary64`
8×	`add-cbrt-cube_binary64`
8×	`add-exp-log_binary64`

Counts

3 → 72

Calls

3 calls:

4.0ms	(pow.f64 (*.f64 d1 (+.f64 30 d2)) 3)
4.0ms	(*.f64 d1 (+.f64 30 d2))
2.0ms	(cbrt.f64 (pow.f64 (*.f64 d1 (+.f64 30 d2)) 3))

simplify69.0ms (5.1%)

Algorithm

1×	egg-herbie

Rules

620×	`distribute-rgt-in_binary64`
611×	`distribute-lft-in_binary64`
451×	`fma-def_binary64`
180×	`log-prod_binary64`
151×	`unswap-sqr_binary64`

Counts

136 → 105

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	133	1513
1	304	1452
2	1102	1374
3	4888	1374
4	4979	1374

prune48.0ms (3.6%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	105	0	105
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	105	4	109

Error

Counts

109 → 4

Alt Table

Status	Error	Program
✓	0.0b	(*.f64 d1 (+.f64 d2 30))
✓	15.9b	(.f64 (.f64 d1 (sqrt.f64 (+.f64 d2 30))) (sqrt.f64 (+.f64 d2 30)))
✓	17.5b	(/.f64 (*.f64 d1 (fma.f64 d2 d2 -900)) (-.f64 d2 30))
✓	40.7b	(cbrt.f64 (pow.f64 (*.f64 d1 (+.f64 30 d2)) 3))

Compiler

Compiled 1501 to 1115 computations (25.7% saved)

regimes59.0ms (4.3%)

Accuracy

Total 0.0b remaining (68.5%)

Threshold costs 0.0b (68.5%)

Counts

20 → 1

Compiler

Compiled 668 to 497 computations (25.6% saved)

simplify2.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`
1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	8	7
2	8	7

end0.0ms (0%)

Compiler: Compiled 7 to 5 computations (28.6% saved)

sample559.0ms (41.2%)

Algorithm

1×

intervals

Results

286.0ms	7856×	body	128	valid
10.0ms	80×	body	1024	valid
4.0ms	42×	body	512	valid
3.0ms	75×	body	128	invalid
1.0ms	22×	body	256	valid

Compiler

Compiled 65 to 48 computations (26.2% saved)

Details

analyze86.0ms (6.3%)

sample33.0ms (2.4%)

simplify8.0ms (0.6%)

prune3.0ms (0.2%)

localize3.0ms (0.2%)

series4.0ms (0.3%)

rewrite8.0ms (0.6%)

simplify66.0ms (4.8%)

prune26.0ms (1.9%)

localize5.0ms (0.4%)

series23.0ms (1.7%)

rewrite20.0ms (1.5%)

simplify75.0ms (5.5%)

prune56.0ms (4.1%)

localize6.0ms (0.4%)

series29.0ms (2.1%)

rewrite10.0ms (0.7%)

simplify66.0ms (4.9%)

prune42.0ms (3.1%)

localize6.0ms (0.4%)

series32.0ms (2.4%)

rewrite13.0ms (1%)

simplify69.0ms (5.1%)

prune48.0ms (3.6%)

regimes59.0ms (4.3%)

simplify2.0ms (0.2%)

end0.0ms (0%)

sample559.0ms (41.2%)

Profiling