Details

analyze38.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	50%	50%	2
0%	50%	50%	3
25%	25%	50%	4
25%	25%	50%	5
31.2%	18.7%	50%	6
34.3%	15.6%	50%	7
39%	10.9%	50%	8
40.6%	8.6%	50.8%	9
42.9%	5.9%	51.2%	10
43.7%	4.5%	51.8%	11
44.9%	3%	52.1%	12
45.3%	2.3%	52.4%	13
45.9%	1.5%	52.6%	14

sample21.0ms

Algorithm

intervals

Results

14.0ms

256×

body

128

valid

simplify30.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	497	18
1	497	18

prune4.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Merged error: 0.2b

Counts

2 → 2

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(-.f64 1 (/.f64 1/9 x))
0.2b	(/.f64 y (*.f64 3 (sqrt.f64 x)))
0.3b	(*.f64 3 (sqrt.f64 x))
0.3b	(/.f64 1/9 x)

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt_binary64`
21×	`*-un-lft-identity_binary64`
17×	`add-cube-cbrt_binary64`
14×	`times-frac_binary64`
13×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`add-log-exp_binary64` `pow1_binary64` `associate-r_binary64` `associate-/l*_binary64`
4×	`associate-/r*_binary64` `difference-of-squares_binary64` `sqrt-prod_binary64`
3×	`cbrt-undiv_binary64` `associate-l_binary64` `div-exp_binary64`
2×	`cbrt-unprod_binary64` `unswap-sqr_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64` `div-inv_binary64`
1×	`pow-prod-down_binary64` `sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `distribute-lft-out--_binary64` `flip--_binary64` `*-commutative_binary64`

Counts

4 → 86

Calls

4 calls:

8.0ms	(-.f64 1 (/.f64 1/9 x))
5.0ms	(/.f64 y (*.f64 3 (sqrt.f64 x)))
5.0ms	(*.f64 3 (sqrt.f64 x))
3.0ms	(/.f64 1/9 x)

series171.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(-.f64 1 (/.f64 1/9 x))
86.0ms	(/.f64 y (*.f64 3 (sqrt.f64 x)))
28.0ms	(*.f64 3 (sqrt.f64 x))
22.0ms	(/.f64 1/9 x)

simplify73.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4905	1077
1	4905	1077

prune104.0ms

Filtered

72 candidates to 98 candidates (-36.1%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	89	9	98
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	90	10	100

Merged error: 0.0b

Counts

100 → 10

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 (/.f64 y 3) (sqrt.f64 x)))
0.0b	(-.f64 1 (/.f64 1/9 x))
0.3b	(/.f64 1/9 x)
0.3b	(/.f64 (/.f64 y 3) (sqrt.f64 x))

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

158×	`times-frac_binary64`
113×	`add-sqr-sqrt_binary64`
98×	`*-un-lft-identity_binary64`
89×	`add-cube-cbrt_binary64`
44×	`sqrt-prod_binary64`
16×	`associate-/l*_binary64`
11×	`add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`associate-/r*_binary64` `difference-of-squares_binary64` `div-inv_binary64`
4×	`pow1_binary64` `diff-log_binary64` `cbrt-undiv_binary64` `distribute-lft-out--_binary64` `div-exp_binary64`
3×	`sub-neg_binary64` `flip3--_binary64` `flip--_binary64`
2×	`clear-num_binary64` `frac-2neg_binary64` `frac-sub_binary64`
1×	`associate-/l/_binary64` `associate--l-_binary64` `associate--l+_binary64`

Counts

4 → 178

Calls

4 calls:

50.0ms	(-.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 (/.f64 y 3) (sqrt.f64 x)))
8.0ms	(-.f64 1 (/.f64 1/9 x))
3.0ms	(/.f64 1/9 x)
12.0ms	(/.f64 (/.f64 y 3) (sqrt.f64 x))

series202.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(-.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 (/.f64 y 3) (sqrt.f64 x)))
35.0ms	(-.f64 1 (/.f64 1/9 x))
24.0ms	(/.f64 1/9 x)
81.0ms	(/.f64 (/.f64 y 3) (sqrt.f64 x))

simplify219.0ms

Algorithm

egg-herbie

Counts

190 → 190

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4943	3756
1	4943	3756

prune153.0ms

Filtered

129 candidates to 190 candidates (-47.3%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	188	2	190
Fresh	1	8	9
Picked	1	0	1
Done	0	0	0
Total	190	10	200

Merged error: 0.0b

Counts

200 → 10

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b	(/.f64 y (.f64 (.f64 (cbrt.f64 3) (cbrt.f64 3)) (*.f64 (sqrt.f64 x) (cbrt.f64 3))))
0.3b	(.f64 (.f64 (cbrt.f64 3) (cbrt.f64 3)) (*.f64 (sqrt.f64 x) (cbrt.f64 3)))
0.3b	(/.f64 1/9 x)
0.3b	(*.f64 (sqrt.f64 x) (cbrt.f64 3))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-exp-log_binary64`
26×	`add-sqr-sqrt_binary64`
25×	`add-cbrt-cube_binary64`
18×	`*-un-lft-identity_binary64` `pow1_binary64` `add-cube-cbrt_binary64`
17×	`cbrt-unprod_binary64` `prod-exp_binary64`
12×	`times-frac_binary64`
9×	`pow-prod-down_binary64`
7×	`associate-r_binary64` `associate-l_binary64`
6×	`cbrt-undiv_binary64` `associate-/l*_binary64` `div-exp_binary64`
5×	`sqrt-prod_binary64` `cbrt-prod_binary64`
4×	`associate-/r*_binary64` `add-log-exp_binary64` `unswap-sqr_binary64`
2×	`clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `*-commutative_binary64`

Counts

4 → 103

Calls

4 calls:

13.0ms	(/.f64 y (.f64 (.f64 (cbrt.f64 3) (cbrt.f64 3)) (*.f64 (sqrt.f64 x) (cbrt.f64 3))))
12.0ms	(.f64 (.f64 (cbrt.f64 3) (cbrt.f64 3)) (*.f64 (sqrt.f64 x) (cbrt.f64 3)))
3.0ms	(/.f64 1/9 x)
7.0ms	(*.f64 (sqrt.f64 x) (cbrt.f64 3))

series326.0ms

Counts

4 → 12

Calls

4 calls:

203.0ms	(/.f64 y (.f64 (.f64 (cbrt.f64 3) (cbrt.f64 3)) (*.f64 (sqrt.f64 x) (cbrt.f64 3))))
65.0ms	(.f64 (.f64 (cbrt.f64 3) (cbrt.f64 3)) (*.f64 (sqrt.f64 x) (cbrt.f64 3)))
20.0ms	(/.f64 1/9 x)
37.0ms	(*.f64 (sqrt.f64 x) (cbrt.f64 3))

simplify69.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4944	1371
1	4944	1371

prune103.0ms

Filtered

76 candidates to 115 candidates (-51.3%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	115	0	115
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	115	10	125

Merged error: 0.0b

Counts

125 → 10

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(-.f64 1 (/.f64 1/9 x))
0.2b	(/.f64 1 (sqrt.f64 x))
0.3b	(/.f64 1/9 x)
0.3b	(*.f64 (/.f64 y 3) (/.f64 1 (sqrt.f64 x)))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

84×	`add-sqr-sqrt_binary64`
69×	`times-frac_binary64`
55×	`*-un-lft-identity_binary64`
47×	`add-cube-cbrt_binary64`
26×	`add-exp-log_binary64`
25×	`sqrt-prod_binary64`
22×	`associate-r_binary64`
20×	`add-cbrt-cube_binary64`
13×	`associate-l_binary64`
10×	`unswap-sqr_binary64`
9×	`associate-/r*_binary64`
8×	`pow1_binary64`
7×	`div-exp_binary64`
6×	`add-log-exp_binary64` `cbrt-undiv_binary64` `prod-exp_binary64` `associate-/l*_binary64`
4×	`cbrt-unprod_binary64` `difference-of-squares_binary64` `div-inv_binary64`
3×	`rec-exp_binary64` `pow-flip_binary64`
2×	`clear-num_binary64` `frac-2neg_binary64`
1×	`pow-prod-down_binary64` `sub-neg_binary64` `pow1/2_binary64` `flip3--_binary64` `diff-log_binary64` `associate-r/_binary64` `sqrt-pow1_binary64` `inv-pow_binary64` `un-div-inv_binary64` `distribute-lft-out--_binary64` `flip--_binary64` `frac-times_binary64` `associate-l/_binary64` `*-commutative_binary64`

Counts

4 → 155

Calls

4 calls:

8.0ms	(-.f64 1 (/.f64 1/9 x))
5.0ms	(/.f64 1 (sqrt.f64 x))
3.0ms	(/.f64 1/9 x)
17.0ms	(*.f64 (/.f64 y 3) (/.f64 1 (sqrt.f64 x)))

series189.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(-.f64 1 (/.f64 1/9 x))
52.0ms	(/.f64 1 (sqrt.f64 x))
26.0ms	(/.f64 1/9 x)
77.0ms	(*.f64 (/.f64 y 3) (/.f64 1 (sqrt.f64 x)))

simplify82.0ms

Algorithm

egg-herbie

Counts

167 → 167

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4911	2042
1	4911	2042

prune108.0ms

Filtered

102 candidates to 167 candidates (-63.7%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	167	0	167
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	167	10	177

Merged error: 0.0b

Counts

177 → 10

regimes69.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	49	30
1	49	30

end0.0ms

sample482.0ms

Algorithm

intervals

Results

338.0ms	8000×	body	128	valid
4.0ms	86×	body	128	invalid

Details

analyze38.0ms

sample21.0ms

simplify30.0ms

prune4.0ms

localize9.0ms

rewrite28.0ms

series171.0ms

simplify73.0ms

prune104.0ms

localize8.0ms

rewrite96.0ms

series202.0ms

simplify219.0ms

prune153.0ms

localize12.0ms

rewrite44.0ms

series326.0ms

simplify69.0ms

prune103.0ms

localize12.0ms

rewrite47.0ms

series189.0ms

simplify82.0ms

prune108.0ms

regimes69.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample482.0ms

Profiling