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 (46.6%)

Results

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

Compiler

Compiled 62 to 47 computations (24.2% saved)

simplify80.0ms (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

prune8.0ms (0.3%)

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)

localize10.0ms (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))

series30.0ms (1.3%)

Counts

4 → 48

Calls

4 calls:

12.0ms	(.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)))))
7.0ms	(sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))
2.0ms	(.f64 3 (.f64 v v))

rewrite40.0ms (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)))
10.0ms	(.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))))

simplify131.0ms (5.5%)

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

prune248.0ms (10.3%)

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 (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)))
✓	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 7991 to 5983 computations (25.1% saved)

localize17.0ms (0.7%)

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))

series24.0ms (1%)

Counts

2 → 24

Calls

2 calls:

16.0ms

(*.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)))

9.0ms

(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:

6.0ms

(*.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)))))))

simplify128.0ms (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

prune239.0ms (10%)

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 (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)))
✓	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 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)))
3.0ms	(.f64 (.f64 v v) 5/8)

rewrite12.0ms (0.5%)

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:

6.0ms	(.f64 (sqrt.f64 2) (-.f64 1/4 (.f64 (*.f64 v v) 5/8)))
4.0ms	(.f64 (.f64 v v) 5/8)

simplify59.0ms (2.4%)

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

prune83.0ms (3.4%)

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 (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)))
✓	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 1553 to 1140 computations (26.6% saved)

regimes70.0ms (2.9%)

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

4×	`*-commutative_binary64`
3×	`+-commutative_binary64`
3×	`sub-neg_binary64`
2×	`neg-sub0_binary64`
2×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	31
1	25	31
2	31	31
3	35	31
4	37	31
5	36	31

end73.0ms (3%)

Compiler: Compiled 95 to 73 computations (23.2% saved)

Details

analyze6.0ms (0.3%)

sample1.1s (46.6%)

simplify80.0ms (3.3%)

prune8.0ms (0.3%)

localize10.0ms (0.4%)

series30.0ms (1.3%)

rewrite40.0ms (1.7%)

simplify131.0ms (5.5%)

prune248.0ms (10.3%)

localize17.0ms (0.7%)

series24.0ms (1%)

rewrite10.0ms (0.4%)

simplify128.0ms (5.3%)

prune239.0ms (10%)

localize6.0ms (0.2%)

series7.0ms (0.3%)

rewrite12.0ms (0.5%)

simplify59.0ms (2.4%)

prune83.0ms (3.4%)

regimes70.0ms (2.9%)

simplify3.0ms (0.1%)

end73.0ms (3%)

Profiling