Details

analyze6.0ms (0.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	50%	50%	3
25%	25%	50%	4
37.5%	12.5%	50%	5
43.7%	6.2%	50%	6
46.9%	3.1%	50%	7
48.4%	1.6%	50%	8
49.2%	0.8%	50%	9
49.6%	0.4%	50%	10
49.8%	0.2%	50%	11
49.9%	0.1%	50%	12
49.9%	0%	50.1%	13
49.9%	0%	50.1%	14

Compiler

Compiled 21 to 16 computations (23.8% saved)

sample1.1s (48.3%)

Results

1.0s	8256×	body	128	valid
0.0ms	4×	body	128	invalid

Compiler

Compiled 62 to 47 computations (24.2% saved)

simplify78.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

750×	`div-sub_binary64`
748×	`fma-neg_binary64`
599×	`fma-def_binary64`
502×	`associate-/l*_binary64`
423×	`distribute-rgt-in_binary64`

Counts

1 → 2

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	15	29
1	37	29
2	82	27
3	201	27
4	526	27
5	991	25
6	1614	25
7	3273	25
8	3653	25
9	4694	25
10	4942	25

prune3.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	1	1	2
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	2	3

Error

0.0b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.0b	(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v)))

Compiler

Compiled 77 to 58 computations (24.7% saved)

localize9.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))
✓	0.0b	(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v)))
✓	0.0b	(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))
✓	0.1b	(.f64 3 (.f64 v v))

series28.0ms (1.2%)

Counts

4 → 48

Calls

4 calls:

13.0ms	(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v)))
8.0ms	(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))
4.0ms	(sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))
2.0ms	(.f64 3 (.f64 v v))

rewrite38.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Rules

43×	`add-sqr-sqrt_binary64`
26×	`associate-l_binary64`
25×	`*-un-lft-identity_binary64`
24×	`add-cube-cbrt_binary64`
23×	`add-cbrt-cube_binary64`

Counts

4 → 143

Calls

4 calls:

10.0ms	(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v)))
8.0ms	(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))
4.0ms	(.f64 3 (.f64 v v))
2.0ms	(sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))

simplify121.0ms (5.2%)

Algorithm

1×	egg-herbie

Rules

674×	`cancel-sign-sub-inv_binary64`
427×	`times-frac_binary64`
389×	`associate-l_binary64`
374×	`associate-r_binary64`
274×	`fma-neg_binary64`

Counts

191 → 252

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	341	5429
1	967	5084
2	3434	5016
3	5413	5016

prune238.0ms (10.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	250	2	252
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	250	3	253

Error

Counts

253 → 3

Alt Table

Status	Error	Program
✓	0.0b	(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v)))
▶	0.0b	(.f64 (log.f64 (exp.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))))) (-.f64 1 (*.f64 v v)))
	0.1b	(.f64 (sqrt.f64 2) (-.f64 1/4 (.f64 (*.f64 v v) 5/8)))

Compiler

Compiled 7991 to 5983 computations (25.1% saved)

localize12.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(log.f64 (exp.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))))
✓	0.0b	(.f64 (log.f64 (exp.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))))) (-.f64 1 (*.f64 v v)))
	0.0b	(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))
	0.1b	(.f64 3 (.f64 v v))

series23.0ms (1%)

Counts

2 → 24

Calls

2 calls:

15.0ms

(*.f64 (log.f64 (exp.f64 (*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))))) (-.f64 1 (*.f64 v v)))

8.0ms

(log.f64 (exp.f64 (*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))))))

rewrite10.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-sqr-sqrt_binary64`
8×	`*-un-lft-identity_binary64`
7×	`add-cube-cbrt_binary64`
6×	`associate-l_binary64`
6×	`log-pow_binary64`

Counts

2 → 53

Calls

2 calls:

5.0ms

(*.f64 (log.f64 (exp.f64 (*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))))) (-.f64 1 (*.f64 v v)))

1.0ms

(log.f64 (exp.f64 (*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))))))

simplify123.0ms (5.3%)

Algorithm

1×	egg-herbie

Rules

849×	`fma-neg_binary64`
750×	`fma-def_binary64`
519×	`cancel-sign-sub-inv_binary64`
191×	`distribute-rgt-in_binary64`
181×	`distribute-rgt-neg-in_binary64`

Counts

77 → 122

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	173	2997
1	459	2741
2	1813	2473
3	4397	2469
4	4999	2469
5	4937	2469

prune238.0ms (10.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	237	0	237
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	237	3	240

Error

Counts

240 → 3

Alt Table

Status	Error	Program
✓	0.0b	(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v)))
✓	0.0b	(.f64 (log.f64 (exp.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))))) (-.f64 1 (*.f64 v v)))
▶	0.1b	(.f64 (sqrt.f64 2) (-.f64 1/4 (.f64 (*.f64 v v) 5/8)))

Compiler

Compiled 7577 to 5839 computations (22.9% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (sqrt.f64 2) (-.f64 1/4 (.f64 (*.f64 v v) 5/8)))
✓	0.2b	(.f64 (.f64 v v) 5/8)

series7.0ms (0.3%)

Counts

2 → 24

Calls

2 calls:

4.0ms	(.f64 (sqrt.f64 2) (-.f64 1/4 (.f64 (*.f64 v v) 5/8)))
2.0ms	(.f64 (.f64 v v) 5/8)

rewrite14.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-sqr-sqrt_binary64`
9×	`add-cbrt-cube_binary64`
9×	`add-exp-log_binary64`
9×	`pow1_binary64`
8×	`*-un-lft-identity_binary64`

Counts

2 → 57

Calls

2 calls:

7.0ms	(.f64 (sqrt.f64 2) (-.f64 1/4 (.f64 (*.f64 v v) 5/8)))
4.0ms	(.f64 (.f64 v v) 5/8)

simplify50.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

764×	`distribute-rgt-in_binary64`
716×	`distribute-lft-in_binary64`
446×	`fma-def_binary64`
217×	`distribute-rgt-neg-in_binary64`
202×	`*-commutative_binary64`

Counts

81 → 89

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	120	1302
1	232	1152
2	701	1018
3	1551	988
4	4959	988

prune72.0ms (3.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	89	0	89
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	89	3	92

Error

Counts

92 → 3

Alt Table

Status	Error	Program
✓	0.0b	(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v)))
✓	0.0b	(.f64 (log.f64 (exp.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))))) (-.f64 1 (*.f64 v v)))
✓	0.1b	(.f64 (sqrt.f64 2) (-.f64 1/4 (.f64 (*.f64 v v) 5/8)))

Compiler

Compiled 1553 to 1140 computations (26.6% saved)

regimes59.0ms (2.5%)

Accuracy

Total 0.0b remaining (66.6%)

Threshold costs 0.0b (66.6%)

Counts

22 → 1

Compiler

Compiled 1236 to 989 computations (20% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative_binary64`
5×	`+-commutative_binary64`
5×	`sub-neg_binary64`
3×	`distribute-rgt-neg-in_binary64`
3×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	33
1	33	33
2	44	33
3	50	33
4	53	33
5	51	33

end67.0ms (2.9%)

Compiler: Compiled 97 to 75 computations (22.7% saved)

Details

analyze6.0ms (0.3%)

sample1.1s (48.3%)

simplify78.0ms (3.3%)

prune3.0ms (0.1%)

localize9.0ms (0.4%)

series28.0ms (1.2%)

rewrite38.0ms (1.7%)

simplify121.0ms (5.2%)

prune238.0ms (10.2%)

localize12.0ms (0.5%)

series23.0ms (1%)

rewrite10.0ms (0.4%)

simplify123.0ms (5.3%)

prune238.0ms (10.2%)

localize6.0ms (0.2%)

series7.0ms (0.3%)

rewrite14.0ms (0.6%)

simplify50.0ms (2.2%)

prune72.0ms (3.1%)

regimes59.0ms (2.5%)

simplify3.0ms (0.1%)

end67.0ms (2.9%)

Profiling