Details

analyze56.0ms

Algorithm

Search

True	Other	False	Iter
0%	12.5%	87.5%	0
0%	12.5%	87.5%	1
0%	12.5%	87.5%	2
3.1%	9.3%	87.5%	3
3.1%	6.2%	90.7%	4
4.7%	4.7%	90.7%	5
4.7%	3.5%	91.8%	6
5.6%	2.5%	91.8%	7
5.9%	1.8%	92.3%	8
6.4%	1.3%	92.3%	9
6.6%	0.9%	92.5%	10
6.8%	0.6%	92.5%	11
6.9%	0.5%	92.6%	12
7%	0.3%	92.6%	13
7.1%	0.2%	92.7%	14

sample22.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
5.0ms	256×	pre	80	true

simplify645.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (109.0ms)

Iter	Nodes	Cost
0	4909	19
1	4909	19

prune5.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.1b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(*.f64 m (-.f64 1 m))
0.1b	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
0.1b	(/.f64 (*.f64 m (-.f64 1 m)) v)

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt_binary64`
18×	`*-un-lft-identity_binary64`
12×	`associate-r_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`associate-l_binary64`
9×	`add-cube-cbrt_binary64`
8×	`flip3--_binary64` `flip--_binary64`
7×	`pow1_binary64`
6×	`associate-*r/_binary64` `difference-of-squares_binary64`
4×	`sub-neg_binary64` `frac-times_binary64`
3×	`associate-/r*_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `distribute-lft-out--_binary64` `times-frac_binary64`
2×	`pow-prod-down_binary64` `associate-/l/_binary64` `cbrt-undiv_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `div-exp_binary64` `associate-l/_binary64` `-commutative_binary64`
1×	`difference-of-sqr-1_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l*_binary64` `div-inv_binary64`

Counts

3 → 83

Calls

3 calls:

7.0ms	(*.f64 m (-.f64 1 m))
16.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
10.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)

series97.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(*.f64 m (-.f64 1 m))
25.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
38.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)

simplify55.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5106	1553

prune92.0ms

Filtered

66 candidates to 92 candidates (-39.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	86	6	92
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	86	7	93

Merged error: 0b

Counts

93 → 7

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (/.f64 m (sqrt.f64 v)) (-.f64 1 m))
0.1b	(.f64 (-.f64 (/.f64 (.f64 (/.f64 m (sqrt.f64 v)) (-.f64 1 m)) (sqrt.f64 v)) 1) (-.f64 1 m))
0.3b	(/.f64 m (sqrt.f64 v))
0.3b	(/.f64 (*.f64 (/.f64 m (sqrt.f64 v)) (-.f64 1 m)) (sqrt.f64 v))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

59×	`add-sqr-sqrt_binary64`
48×	`*-un-lft-identity_binary64`
44×	`times-frac_binary64`
39×	`add-cube-cbrt_binary64`
29×	`associate-l_binary64`
28×	`sqrt-prod_binary64`
22×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
12×	`associate-/r_binary64` `associate-r*_binary64`
10×	`flip3--_binary64` `flip--_binary64`
8×	`pow1_binary64` `frac-times_binary64`
6×	`cbrt-undiv_binary64` `associate-*r/_binary64` `difference-of-squares_binary64` `div-exp_binary64`
5×	`associate-/l/_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
4×	`add-log-exp_binary64` `sub-neg_binary64` `unswap-sqr_binary64` `associate-/l_binary64` `associate-l/_binary64`
3×	`distribute-lft-out--_binary64` `div-inv_binary64`
2×	`pow-prod-down_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `clear-num_binary64` `frac-2neg_binary64` `*-commutative_binary64`
1×	`difference-of-sqr-1_binary64`

Counts

4 → 159

Calls

4 calls:

12.0ms	(*.f64 (/.f64 m (sqrt.f64 v)) (-.f64 1 m))
20.0ms	(.f64 (-.f64 (/.f64 (.f64 (/.f64 m (sqrt.f64 v)) (-.f64 1 m)) (sqrt.f64 v)) 1) (-.f64 1 m))
4.0ms	(/.f64 m (sqrt.f64 v))
13.0ms	(/.f64 (*.f64 (/.f64 m (sqrt.f64 v)) (-.f64 1 m)) (sqrt.f64 v))

series143.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(*.f64 (/.f64 m (sqrt.f64 v)) (-.f64 1 m))
40.0ms	(.f64 (-.f64 (/.f64 (.f64 (/.f64 m (sqrt.f64 v)) (-.f64 1 m)) (sqrt.f64 v)) 1) (-.f64 1 m))
32.0ms	(/.f64 m (sqrt.f64 v))
41.0ms	(/.f64 (*.f64 (/.f64 m (sqrt.f64 v)) (-.f64 1 m)) (sqrt.f64 v))

simplify71.0ms

Algorithm

egg-herbie

Counts

171 → 171

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5091	3019

prune144.0ms

Filtered

128 candidates to 171 candidates (-33.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	170	1	171
Fresh	1	4	5
Picked	1	0	1
Done	0	1	1
Total	172	6	178

Merged error: 0b

Counts

178 → 6

localize9.0ms

Local error

Found 4 expressions with local error:

0.1b	(*.f64 (-.f64 (/.f64 (/.f64 m (sqrt.f64 v)) (/.f64 (sqrt.f64 v) (-.f64 1 m))) 1) (-.f64 1 m))
0.1b	(/.f64 (sqrt.f64 v) (-.f64 1 m))
0.3b	(/.f64 m (sqrt.f64 v))
0.3b	(/.f64 (/.f64 m (sqrt.f64 v)) (/.f64 (sqrt.f64 v) (-.f64 1 m)))

rewrite436.0ms

Algorithm

rewrite-expression-head

Rules

2643×	`times-frac_binary64`
1581×	`add-sqr-sqrt_binary64`
1488×	`*-un-lft-identity_binary64`
1038×	`add-cube-cbrt_binary64`
852×	`sqrt-prod_binary64`
312×	`difference-of-squares_binary64`
147×	`distribute-lft-out--_binary64`
69×	`div-inv_binary64`
54×	`associate-/r*_binary64`
49×	`associate-/r/_binary64`
34×	`associate-l_binary64`
31×	`associate-/l*_binary64`
30×	`flip3--_binary64` `flip--_binary64`
22×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`cbrt-undiv_binary64` `difference-of-sqr-1_binary64` `div-exp_binary64`
6×	`pow1_binary64` `associate-r_binary64`
4×	`add-log-exp_binary64` `frac-times_binary64`
3×	`clear-num_binary64` `frac-2neg_binary64`
2×	`sub-neg_binary64` `associate-r/_binary64` `associate-l/_binary64`
1×	`pow-prod-down_binary64` `associate-/l/_binary64` `cbrt-unprod_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `*-commutative_binary64`

Counts

4 → 1171

Calls

4 calls:

271.0ms	(*.f64 (-.f64 (/.f64 (/.f64 m (sqrt.f64 v)) (/.f64 (sqrt.f64 v) (-.f64 1 m))) 1) (-.f64 1 m))
7.0ms	(/.f64 (sqrt.f64 v) (-.f64 1 m))
4.0ms	(/.f64 m (sqrt.f64 v))
36.0ms	(/.f64 (/.f64 m (sqrt.f64 v)) (/.f64 (sqrt.f64 v) (-.f64 1 m)))

series163.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(*.f64 (-.f64 (/.f64 (/.f64 m (sqrt.f64 v)) (/.f64 (sqrt.f64 v) (-.f64 1 m))) 1) (-.f64 1 m))
31.0ms	(/.f64 (sqrt.f64 v) (-.f64 1 m))
38.0ms	(/.f64 m (sqrt.f64 v))
48.0ms	(/.f64 (/.f64 m (sqrt.f64 v)) (/.f64 (sqrt.f64 v) (-.f64 1 m)))

simplify399.0ms

Algorithm

egg-herbie

Counts

1183 → 1183

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5059	43619

prune761.0ms

Filtered

476 candidates to 1183 candidates (-148.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	1183	0	1183
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	1183	6	1189

Merged error: 0b

Counts

1189 → 6

localize15.0ms

Local error

Found 4 expressions with local error:

0.3b	(.f64 (cbrt.f64 (.f64 (-.f64 1 m) (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1))) (cbrt.f64 (.f64 (-.f64 1 m) (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1))))
0.3b	(cbrt.f64 (.f64 (-.f64 1 m) (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1)))
0.3b	(cbrt.f64 (.f64 (-.f64 1 m) (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1)))
0.3b	(cbrt.f64 (.f64 (-.f64 1 m) (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1)))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

168×	`cbrt-div_binary64`
148×	`frac-times_binary64`
126×	`flip3--_binary64` `flip--_binary64`
50×	`associate-r/_binary64` `associate-l/_binary64`
11×	`pow1_binary64`
10×	`add-sqr-sqrt_binary64`
9×	`pow1/3_binary64`
8×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
7×	`cbrt-prod_binary64`
6×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `swap-sqr_binary64` `associate-r_binary64` `add-cbrt-cube_binary64` `associate-l_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 162

Calls

4 calls:

11.0ms	(.f64 (cbrt.f64 (.f64 (-.f64 1 m) (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1))) (cbrt.f64 (.f64 (-.f64 1 m) (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1))))
13.0ms	(cbrt.f64 (.f64 (-.f64 1 m) (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1)))
14.0ms	(cbrt.f64 (.f64 (-.f64 1 m) (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1)))
13.0ms	(cbrt.f64 (.f64 (-.f64 1 m) (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1)))

series399.0ms

Counts

4 → 12

Calls

4 calls:

110.0ms	(.f64 (cbrt.f64 (.f64 (-.f64 1 m) (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1))) (cbrt.f64 (.f64 (-.f64 1 m) (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1))))
92.0ms	(cbrt.f64 (.f64 (-.f64 1 m) (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1)))
97.0ms	(cbrt.f64 (.f64 (-.f64 1 m) (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1)))
101.0ms	(cbrt.f64 (.f64 (-.f64 1 m) (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1)))

simplify135.0ms

Algorithm

egg-herbie

Counts

174 → 174

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5020	10855

prune496.0ms

Filtered

124 candidates to 174 candidates (-40.3%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	174	0	174
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	174	6	180

Merged error: 0b

Counts

180 → 6

regimes48.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	34	19
1	34	19

end0.0ms

sample549.0ms

Algorithm

intervals

Results

262.0ms	8000×	body	80	valid
148.0ms	8054×	pre	80	true
2.0ms	54×	body	80	invalid

Details

analyze56.0ms

sample22.0ms

simplify645.0ms

prune5.0ms

localize9.0ms

rewrite37.0ms

series97.0ms

simplify55.0ms

prune92.0ms

localize9.0ms

rewrite56.0ms

series143.0ms

simplify71.0ms

prune144.0ms

localize9.0ms

rewrite436.0ms

series163.0ms

simplify399.0ms

prune761.0ms

localize15.0ms

rewrite64.0ms

series399.0ms

simplify135.0ms

prune496.0ms

regimes48.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample549.0ms

Profiling