Details

analyze77.0ms

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
0%	50%	50%	4
6.2%	43.7%	50%	5
9.4%	28.1%	62.5%	6
12.5%	25%	62.5%	7
15.6%	15.6%	68.8%	8
16.8%	14.4%	68.8%	9
18.5%	8.8%	72.7%	10
19.2%	7.7%	73.1%	11
20.1%	4.6%	75.2%	12
20.5%	4%	75.5%	13
21%	2.4%	76.6%	14

sample23.0ms

Algorithm

intervals

Results

14.0ms	256×	body	128	valid
1.0ms	14×	body	128	nan
1.0ms	11×	body	128	invalid

simplify82.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	1049	21
1	1049	21

prune4.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.1b

Counts

2 → 1

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (-.f64 a 1/3) 9)
0.1b	(.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 (-.f64 a 1/3) 9)))))
0.2b	(/.f64 rand (sqrt.f64 (*.f64 (-.f64 a 1/3) 9)))
0.4b	(sqrt.f64 (*.f64 (-.f64 a 1/3) 9))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt_binary64`
23×	`*-un-lft-identity_binary64`
17×	`add-cube-cbrt_binary64`
12×	`times-frac_binary64`
11×	`pow1_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l_binary64`
8×	`associate-*l/_binary64`
7×	`associate-r_binary64`
6×	`flip3--_binary64` `flip--_binary64`
5×	`sqrt-prod_binary64`
4×	`associate-/r*_binary64` `add-log-exp_binary64` `frac-times_binary64` `sqrt-div_binary64`
3×	`pow-prod-down_binary64` `flip3-+_binary64` `associate-/l*_binary64` `flip-+_binary64`
2×	`cbrt-unprod_binary64` `associate-r/_binary64` `associate-/r/_binary64` `sqrt-pow1_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `-commutative_binary64`
1×	`pow1/2_binary64` `distribute-lft-out_binary64` `cbrt-undiv_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64`

Counts

4 → 99

Calls

4 calls:

7.0ms	(*.f64 (-.f64 a 1/3) 9)
19.0ms	(.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 (-.f64 a 1/3) 9)))))
8.0ms	(/.f64 rand (sqrt.f64 (*.f64 (-.f64 a 1/3) 9)))
5.0ms	(sqrt.f64 (*.f64 (-.f64 a 1/3) 9))

series301.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(*.f64 (-.f64 a 1/3) 9)
89.0ms	(.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 (-.f64 a 1/3) 9)))))
135.0ms	(/.f64 rand (sqrt.f64 (*.f64 (-.f64 a 1/3) 9)))
36.0ms	(sqrt.f64 (*.f64 (-.f64 a 1/3) 9))

simplify69.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4909	2236
1	4909	2236

prune139.0ms

Filtered

87 candidates to 111 candidates (-27.6%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	103	8	111
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	104	8	112

Merged error: 0.0b

Counts

112 → 8

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (-.f64 a 1/3))
0.1b	(.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (.f64 (sqrt.f64 (-.f64 a 1/3)) 3))))
0.2b	(/.f64 rand (*.f64 (sqrt.f64 (-.f64 a 1/3)) 3))
0.2b	(*.f64 (sqrt.f64 (-.f64 a 1/3)) 3)

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt_binary64`
20×	`*-un-lft-identity_binary64`
13×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l_binary64`
12×	`add-cube-cbrt_binary64`
11×	`sqrt-prod_binary64`
9×	`pow1_binary64`
7×	`associate-r_binary64`
6×	`flip3--_binary64` `flip--_binary64` `sqrt-div_binary64` `associate-*l/_binary64`
4×	`add-log-exp_binary64` `frac-times_binary64`
3×	`flip3-+_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `difference-of-squares_binary64` `associate-/l*_binary64` `distribute-lft-out--_binary64` `times-frac_binary64` `flip-+_binary64`
2×	`pow-prod-down_binary64` `cbrt-undiv_binary64` `associate-r/_binary64` `associate-/r/_binary64` `div-exp_binary64` `-commutative_binary64`
1×	`associate-/r*_binary64` `pow1/2_binary64` `distribute-lft-out_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64`

Counts

4 → 97

Calls

4 calls:

4.0ms	(sqrt.f64 (-.f64 a 1/3))
15.0ms	(.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (.f64 (sqrt.f64 (-.f64 a 1/3)) 3))))
8.0ms	(/.f64 rand (*.f64 (sqrt.f64 (-.f64 a 1/3)) 3))
8.0ms	(*.f64 (sqrt.f64 (-.f64 a 1/3)) 3)

series288.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(sqrt.f64 (-.f64 a 1/3))
91.0ms	(.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (.f64 (sqrt.f64 (-.f64 a 1/3)) 3))))
131.0ms	(/.f64 rand (*.f64 (sqrt.f64 (-.f64 a 1/3)) 3))
39.0ms	(*.f64 (sqrt.f64 (-.f64 a 1/3)) 3)

simplify52.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5135	2179

prune113.0ms

Filtered

83 candidates to 109 candidates (-31.3%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	107	2	109
Fresh	1	6	7
Picked	0	1	1
Done	0	0	0
Total	108	9	117

Merged error: 0b

Counts

117 → 9

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (-.f64 a 1/3))
0.1b	(*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 (/.f64 rand (sqrt.f64 (-.f64 a 1/3))) 3)))
0.2b	(/.f64 rand (sqrt.f64 (-.f64 a 1/3)))
0.2b	(/.f64 (/.f64 rand (sqrt.f64 (-.f64 a 1/3))) 3)

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

210×	`times-frac_binary64`
154×	`add-sqr-sqrt_binary64`
153×	`*-un-lft-identity_binary64`
115×	`add-cube-cbrt_binary64`
85×	`sqrt-prod_binary64`
33×	`associate-/l*_binary64`
18×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
13×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
12×	`sqrt-div_binary64`
11×	`associate-/r*_binary64`
10×	`associate-/r/_binary64`
9×	`flip3--_binary64` `flip--_binary64`
7×	`pow1_binary64`
6×	`div-inv_binary64`
5×	`associate-l_binary64`
4×	`add-log-exp_binary64` `associate-r_binary64` `cbrt-undiv_binary64` `div-exp_binary64` `frac-times_binary64`
3×	`flip3-+_binary64` `flip-+_binary64`
2×	`associate-r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-l/_binary64`
1×	`pow-prod-down_binary64` `associate-/l/_binary64` `pow1/2_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `sqrt-pow1_binary64` `unswap-sqr_binary64` `rem-sqrt-square_binary64` `prod-exp_binary64` `*-commutative_binary64`

Counts

4 → 235

Calls

4 calls:

4.0ms	(sqrt.f64 (-.f64 a 1/3))
35.0ms	(*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 (/.f64 rand (sqrt.f64 (-.f64 a 1/3))) 3)))
7.0ms	(/.f64 rand (sqrt.f64 (-.f64 a 1/3)))
15.0ms	(/.f64 (/.f64 rand (sqrt.f64 (-.f64 a 1/3))) 3)

series366.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(sqrt.f64 (-.f64 a 1/3))
90.0ms	(*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 (/.f64 rand (sqrt.f64 (-.f64 a 1/3))) 3)))
110.0ms	(/.f64 rand (sqrt.f64 (-.f64 a 1/3)))
139.0ms	(/.f64 (/.f64 rand (sqrt.f64 (-.f64 a 1/3))) 3)

simplify110.0ms

Algorithm

egg-herbie

Counts

247 → 247

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4932	5969
1	4932	5969

prune274.0ms

Filtered

174 candidates to 247 candidates (-42.0%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	247	0	247
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	247	9	256

Merged error: 0b

Counts

256 → 9

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (-.f64 a 1/3) 9)
0.2b	(/.f64 rand (sqrt.f64 (*.f64 (-.f64 a 1/3) 9)))
0.4b	(sqrt.f64 (*.f64 (-.f64 a 1/3) 9))
6.0b	(.f64 (-.f64 a 1/3) (/.f64 rand (sqrt.f64 (.f64 (-.f64 a 1/3) 9))))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-sqr-sqrt_binary64`
28×	`*-un-lft-identity_binary64`
25×	`times-frac_binary64`
24×	`add-cube-cbrt_binary64`
21×	`associate-r_binary64`
13×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
11×	`pow1_binary64`
10×	`associate-l_binary64` `associate-*l/_binary64`
8×	`sqrt-prod_binary64`
6×	`flip3--_binary64` `flip--_binary64` `sqrt-div_binary64`
4×	`associate-/r*_binary64` `add-log-exp_binary64` `associate-/r/_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `associate-/l*_binary64`
2×	`cbrt-undiv_binary64` `sqrt-pow1_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `div-inv_binary64` `div-exp_binary64` `frac-times_binary64` `*-commutative_binary64`
1×	`pow1/2_binary64` `associate-*r/_binary64` `clear-num_binary64` `frac-2neg_binary64`

Counts

4 → 111

Calls

4 calls:

10.0ms	(*.f64 (-.f64 a 1/3) 9)
8.0ms	(/.f64 rand (sqrt.f64 (*.f64 (-.f64 a 1/3) 9)))
5.0ms	(sqrt.f64 (*.f64 (-.f64 a 1/3) 9))
17.0ms	(.f64 (-.f64 a 1/3) (/.f64 rand (sqrt.f64 (.f64 (-.f64 a 1/3) 9))))

series298.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(*.f64 (-.f64 a 1/3) 9)
121.0ms	(/.f64 rand (sqrt.f64 (*.f64 (-.f64 a 1/3) 9)))
33.0ms	(sqrt.f64 (*.f64 (-.f64 a 1/3) 9))
102.0ms	(.f64 (-.f64 a 1/3) (/.f64 rand (sqrt.f64 (.f64 (-.f64 a 1/3) 9))))

simplify52.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	4956	2404
1	4956	2404

prune137.0ms

Filtered

98 candidates to 123 candidates (-25.5%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	121	2	123
Fresh	4	2	6
Picked	0	1	1
Done	0	2	2
Total	125	7	132

Merged error: 0b

Counts

132 → 7

regimes34.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	25	21
1	25	21

end0.0ms

sample626.0ms

Algorithm

intervals

Results

449.0ms	8000×	body	128	valid
18.0ms	283×	body	128	invalid
12.0ms	236×	body	128	nan

Details

analyze77.0ms

sample23.0ms

simplify82.0ms

prune4.0ms

localize8.0ms

rewrite48.0ms

series301.0ms

simplify69.0ms

prune139.0ms

localize9.0ms

rewrite43.0ms

series288.0ms

simplify52.0ms

prune113.0ms

localize9.0ms

rewrite95.0ms

series366.0ms

simplify110.0ms

prune274.0ms

localize8.0ms

rewrite51.0ms

series298.0ms

simplify52.0ms

prune137.0ms

regimes34.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample626.0ms

Profiling