Details

analyze3.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	25%	25%	3
50%	12.5%	37.5%	4
50%	6.2%	43.8%	5
50%	3.1%	46.9%	6
50%	1.6%	48.5%	7
50%	0.8%	49.2%	8
50%	0.4%	49.6%	9
50%	0.2%	49.8%	10
50%	0.1%	49.9%	11
50%	0%	50%	12
50%	0%	50%	13
50%	0%	50%	14

sample15.0ms

Algorithm

intervals

Results

10.0ms

256×

body

valid

simplify74.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	5144	14

prune2.0ms

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: 0.1b

Counts

2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (+.f64 x 1.0) (*.f64 4.0 (sqrt.f64 x)))
0.0b	(*.f64 6.0 (-.f64 x 1.0))
0.1b	(/.f64 (.f64 6.0 (-.f64 x 1.0)) (+.f64 (+.f64 x 1.0) (.f64 4.0 (sqrt.f64 x))))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 62

Calls

3 calls:

6.0ms	(+.f64 (+.f64 x 1.0) (*.f64 4.0 (sqrt.f64 x)))
6.0ms	(*.f64 6.0 (-.f64 x 1.0))
15.0ms	(/.f64 (.f64 6.0 (-.f64 x 1.0)) (+.f64 (+.f64 x 1.0) (.f64 4.0 (sqrt.f64 x))))

series22.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(+.f64 (+.f64 x 1.0) (*.f64 4.0 (sqrt.f64 x)))
4.0ms	(*.f64 6.0 (-.f64 x 1.0))
12.0ms	(/.f64 (.f64 6.0 (-.f64 x 1.0)) (+.f64 (+.f64 x 1.0) (.f64 4.0 (sqrt.f64 x))))

simplify45.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	4992	903
1	4992	903

prune90.0ms

Filtered

55 candidates to 71 candidates (-29.1%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	67	4	71
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	68	4	72

Merged error: 0b

Counts

72 → 4

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (+.f64 x 1.0) (*.f64 4.0 (sqrt.f64 x)))
0.0b	(.f64 6.0 (/.f64 (-.f64 x 1.0) (+.f64 (+.f64 x 1.0) (.f64 4.0 (sqrt.f64 x)))))
0.0b	(/.f64 (-.f64 x 1.0) (+.f64 (+.f64 x 1.0) (*.f64 4.0 (sqrt.f64 x))))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

42×	`add-sqr-sqrt_binary64`
37×	`*-un-lft-identity_binary64`
31×	`times-frac_binary64`
23×	`add-cube-cbrt_binary64`
21×	`associate-r_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`add-log-exp_binary64`
7×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
5×	`pow1_binary64` `associate-/l*_binary64`
4×	`associate-/r/_binary64`
3×	`flip3-+_binary64` `associate-/r_binary64` `associate-l*_binary64` `flip-+_binary64` `sum-log_binary64`
2×	`associate-/l/_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `div-inv_binary64` `div-exp_binary64`
1×	`pow-prod-down_binary64` `flip3--_binary64` `associate-r/_binary64` `associate-+l+_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `+-commutative_binary64` `flip--_binary64` `-commutative_binary64`

Counts

3 → 93

Calls

3 calls:

6.0ms	(+.f64 (+.f64 x 1.0) (*.f64 4.0 (sqrt.f64 x)))
15.0ms	(.f64 6.0 (/.f64 (-.f64 x 1.0) (+.f64 (+.f64 x 1.0) (.f64 4.0 (sqrt.f64 x)))))
11.0ms	(/.f64 (-.f64 x 1.0) (+.f64 (+.f64 x 1.0) (*.f64 4.0 (sqrt.f64 x))))

series28.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(+.f64 (+.f64 x 1.0) (*.f64 4.0 (sqrt.f64 x)))
11.0ms	(.f64 6.0 (/.f64 (-.f64 x 1.0) (+.f64 (+.f64 x 1.0) (.f64 4.0 (sqrt.f64 x)))))
12.0ms	(/.f64 (-.f64 x 1.0) (+.f64 (+.f64 x 1.0) (*.f64 4.0 (sqrt.f64 x))))

simplify53.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4974	1828
1	4974	1828

prune119.0ms

Filtered

81 candidates to 102 candidates (-25.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	102	0	102
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	102	4	106

Merged error: 0b

Counts

106 → 4

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (+.f64 x 1.0) (*.f64 4.0 (sqrt.f64 x)))
0.0b	(/.f64 (+.f64 (+.f64 x 1.0) (*.f64 4.0 (sqrt.f64 x))) (-.f64 x 1.0))
0.0b	(/.f64 6.0 (/.f64 (+.f64 (+.f64 x 1.0) (*.f64 4.0 (sqrt.f64 x))) (-.f64 x 1.0)))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

138×	`times-frac_binary64`
103×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
71×	`add-cube-cbrt_binary64`
26×	`associate-/r*_binary64`
16×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
11×	`associate-/r/_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`add-log-exp_binary64`
6×	`associate-/l*_binary64` `div-inv_binary64`
5×	`flip3--_binary64` `flip--_binary64`
4×	`cbrt-undiv_binary64` `div-exp_binary64`
3×	`pow1_binary64` `sum-log_binary64`
2×	`flip3-+_binary64` `associate-/l/_binary64` `clear-num_binary64` `frac-2neg_binary64` `flip-+_binary64`
1×	`associate-+l+_binary64` `+-commutative_binary64`

Counts

3 → 154

Calls

3 calls:

6.0ms	(+.f64 (+.f64 x 1.0) (*.f64 4.0 (sqrt.f64 x)))
11.0ms	(/.f64 (+.f64 (+.f64 x 1.0) (*.f64 4.0 (sqrt.f64 x))) (-.f64 x 1.0))
13.0ms	(/.f64 6.0 (/.f64 (+.f64 (+.f64 x 1.0) (*.f64 4.0 (sqrt.f64 x))) (-.f64 x 1.0)))

series24.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(+.f64 (+.f64 x 1.0) (*.f64 4.0 (sqrt.f64 x)))
8.0ms	(/.f64 (+.f64 (+.f64 x 1.0) (*.f64 4.0 (sqrt.f64 x))) (-.f64 x 1.0))
11.0ms	(/.f64 6.0 (/.f64 (+.f64 (+.f64 x 1.0) (*.f64 4.0 (sqrt.f64 x))) (-.f64 x 1.0)))

simplify61.0ms

Algorithm

egg-herbie

Counts

163 → 163

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5079	3735

prune205.0ms

Filtered

128 candidates to 163 candidates (-27.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	163	0	163
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	163	4	167

Merged error: 0b

Counts

167 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (+.f64 x 1.0) (*.f64 4.0 (sqrt.f64 x)))
0.1b	(/.f64 6.0 (sqrt.f64 (+.f64 (+.f64 x 1.0) (*.f64 4.0 (sqrt.f64 x)))))
0.1b	(.f64 (/.f64 6.0 (sqrt.f64 (+.f64 (+.f64 x 1.0) (.f64 4.0 (sqrt.f64 x))))) (/.f64 (-.f64 x 1.0) (sqrt.f64 (+.f64 (+.f64 x 1.0) (*.f64 4.0 (sqrt.f64 x))))))
0.2b	(/.f64 (-.f64 x 1.0) (sqrt.f64 (+.f64 (+.f64 x 1.0) (*.f64 4.0 (sqrt.f64 x)))))

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

124×	`add-sqr-sqrt_binary64`
108×	`times-frac_binary64`
94×	`*-un-lft-identity_binary64`
68×	`add-cube-cbrt_binary64`
60×	`sqrt-prod_binary64`
36×	`associate-r_binary64`
24×	`associate-l_binary64`
20×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
13×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
12×	`associate-/r*_binary64`
9×	`add-log-exp_binary64` `unswap-sqr_binary64`
8×	`associate-/r/_binary64` `associate-/l*_binary64` `sqrt-div_binary64`
6×	`pow1_binary64` `cbrt-undiv_binary64` `div-exp_binary64`
5×	`flip3-+_binary64` `flip-+_binary64`
4×	`cbrt-unprod_binary64` `prod-exp_binary64` `div-inv_binary64`
3×	`sum-log_binary64`
2×	`associate-/l/_binary64` `clear-num_binary64` `frac-2neg_binary64`
1×	`pow-prod-down_binary64` `flip3--_binary64` `associate-r/_binary64` `associate-+l+_binary64` `div-sub_binary64` `+-commutative_binary64` `flip--_binary64` `frac-times_binary64` `associate-l/_binary64` `*-commutative_binary64`

Counts

4 → 201

Calls

4 calls:

6.0ms	(+.f64 (+.f64 x 1.0) (*.f64 4.0 (sqrt.f64 x)))
8.0ms	(/.f64 6.0 (sqrt.f64 (+.f64 (+.f64 x 1.0) (*.f64 4.0 (sqrt.f64 x)))))
32.0ms	(.f64 (/.f64 6.0 (sqrt.f64 (+.f64 (+.f64 x 1.0) (.f64 4.0 (sqrt.f64 x))))) (/.f64 (-.f64 x 1.0) (sqrt.f64 (+.f64 (+.f64 x 1.0) (*.f64 4.0 (sqrt.f64 x))))))
12.0ms	(/.f64 (-.f64 x 1.0) (sqrt.f64 (+.f64 (+.f64 x 1.0) (*.f64 4.0 (sqrt.f64 x)))))

series58.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(+.f64 (+.f64 x 1.0) (*.f64 4.0 (sqrt.f64 x)))
18.0ms	(/.f64 6.0 (sqrt.f64 (+.f64 (+.f64 x 1.0) (*.f64 4.0 (sqrt.f64 x)))))
11.0ms	(.f64 (/.f64 6.0 (sqrt.f64 (+.f64 (+.f64 x 1.0) (.f64 4.0 (sqrt.f64 x))))) (/.f64 (-.f64 x 1.0) (sqrt.f64 (+.f64 (+.f64 x 1.0) (*.f64 4.0 (sqrt.f64 x))))))
24.0ms	(/.f64 (-.f64 x 1.0) (sqrt.f64 (+.f64 (+.f64 x 1.0) (*.f64 4.0 (sqrt.f64 x)))))

simplify73.0ms

Algorithm

egg-herbie

Counts

213 → 213

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5076	5069

prune298.0ms

Filtered

143 candidates to 213 candidates (-49.0%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	213	0	213
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	213	4	217

Merged error: 0b

Counts

217 → 4

regimes31.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	25	14
1	25	14

end0.0ms

sample400.0ms

Algorithm

intervals

Results

314.0ms

8000×

body

valid

Details

analyze3.0ms

sample15.0ms

simplify74.0ms

prune2.0ms

localize8.0ms

rewrite30.0ms

series22.0ms

simplify45.0ms

prune90.0ms

localize9.0ms

rewrite35.0ms

series28.0ms

simplify53.0ms

prune119.0ms

localize8.0ms

rewrite37.0ms

series24.0ms

simplify61.0ms

prune205.0ms

localize14.0ms

rewrite67.0ms

series58.0ms

simplify73.0ms

prune298.0ms

regimes31.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample400.0ms

Profiling