Details

analyze533.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
6.2%	93.6%	0.1%	6
15.6%	84.3%	0.1%	7
29.6%	70.2%	0.1%	8
33.5%	63.2%	3.3%	9
43.3%	49.5%	7.2%	10
52.1%	39.2%	8.7%	11
54.5%	34.2%	11.3%	12
60.6%	25.6%	13.8%	13
65.2%	20.4%	14.4%	14

sample16.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
1.0ms	23×	body	80	invalid

simplify17.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (14.0ms)

Iter	Nodes	Cost
0	345	9
1	345	9

prune3.0ms

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: 0.0b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 x y) (.f64 (-.f64 1.0 x) z))
0.0b	(*.f64 (-.f64 1.0 x) z)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt_binary64`
6×	`*-un-lft-identity_binary64`
5×	`associate-l_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`associate-r_binary64`
2×	`associate-*l/_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `+-commutative_binary64` `flip--_binary64` `flip-+_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

2 → 33

Calls

2 calls:

5.0ms	(+.f64 (.f64 x y) (.f64 (-.f64 1.0 x) z))
7.0ms	(*.f64 (-.f64 1.0 x) z)

series17.0ms

Counts

2 → 6

Calls

2 calls:

9.0ms	(+.f64 (.f64 x y) (.f64 (-.f64 1.0 x) z))
8.0ms	(*.f64 (-.f64 1.0 x) z)

simplify49.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5197	345

prune37.0ms

Filtered

26 candidates to 39 candidates (-50.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	36	3	39
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	36	4	40

Merged error: 0.0b

Counts

40 → 4

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 x y) (.f64 (*.f64 (-.f64 1.0 x) (sqrt.f64 z)) (sqrt.f64 z)))
0.0b	(*.f64 (-.f64 1.0 x) (sqrt.f64 z))
0.3b	(.f64 (.f64 (-.f64 1.0 x) (sqrt.f64 z)) (sqrt.f64 z))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt_binary64`
12×	`associate-r_binary64`
10×	`*-un-lft-identity_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`add-cube-cbrt_binary64`
7×	`sqrt-prod_binary64`
6×	`associate-l_binary64` `associate-*l/_binary64`
5×	`add-log-exp_binary64`
4×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
2×	`flip3--_binary64` `unswap-sqr_binary64` `flip--_binary64` `*-commutative_binary64`
1×	`flip3-+_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

3 → 60

Calls

3 calls:

5.0ms	(+.f64 (.f64 x y) (.f64 (*.f64 (-.f64 1.0 x) (sqrt.f64 z)) (sqrt.f64 z)))
8.0ms	(*.f64 (-.f64 1.0 x) (sqrt.f64 z))
10.0ms	(.f64 (.f64 (-.f64 1.0 x) (sqrt.f64 z)) (sqrt.f64 z))

series26.0ms

Counts

3 → 9

Calls

3 calls:

13.0ms	(+.f64 (.f64 x y) (.f64 (*.f64 (-.f64 1.0 x) (sqrt.f64 z)) (sqrt.f64 z)))
7.0ms	(*.f64 (-.f64 1.0 x) (sqrt.f64 z))
7.0ms	(.f64 (.f64 (-.f64 1.0 x) (sqrt.f64 z)) (sqrt.f64 z))

simplify68.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4961	619
1	4961	619

prune86.0ms

Filtered

46 candidates to 69 candidates (-50.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	68	1	69
Fresh	1	1	2
Picked	1	0	1
Done	0	1	1
Total	70	3	73

Merged error: 0.0b

Counts

73 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt.f64 (sqrt.f64 z))
0.1b	(sqrt.f64 (sqrt.f64 z))
0.2b	(.f64 (.f64 (-.f64 1.0 x) (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (sqrt.f64 z)))
0.3b	(.f64 (.f64 (*.f64 (-.f64 1.0 x) (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 z))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

32×	`sqrt-prod_binary64`
22×	`pow1_binary64`
18×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
17×	`add-sqr-sqrt_binary64`
15×	`associate-r_binary64`
13×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
10×	`associate-*l/_binary64`
9×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
8×	`sqrt-pow1_binary64`
4×	`add-log-exp_binary64` `pow1/2_binary64` `rem-sqrt-square_binary64`
2×	`flip3--_binary64` `associate-l_binary64` `flip--_binary64` `*-commutative_binary64`

Counts

4 → 90

Calls

4 calls:

2.0ms	(sqrt.f64 (sqrt.f64 z))
2.0ms	(sqrt.f64 (sqrt.f64 z))
12.0ms	(.f64 (.f64 (-.f64 1.0 x) (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (sqrt.f64 z)))
17.0ms	(.f64 (.f64 (*.f64 (-.f64 1.0 x) (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 z))

series38.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(sqrt.f64 (sqrt.f64 z))
12.0ms	(sqrt.f64 (sqrt.f64 z))
7.0ms	(.f64 (.f64 (-.f64 1.0 x) (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (sqrt.f64 z)))
7.0ms	(.f64 (.f64 (*.f64 (-.f64 1.0 x) (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 z))

simplify49.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4966	683
1	4966	683

prune69.0ms

Filtered

63 candidates to 102 candidates (-61.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	102	0	102
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	102	3	105

Merged error: 0.0b

Counts

105 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (-.f64 1.0 x) z)
0.0b	(sqrt.f64 (+.f64 (.f64 (-.f64 1.0 x) z) (.f64 x y)))
0.0b	(sqrt.f64 (+.f64 (.f64 (-.f64 1.0 x) z) (.f64 x y)))
0.2b	(.f64 (sqrt.f64 (+.f64 (.f64 (-.f64 1.0 x) z) (.f64 x y))) (sqrt.f64 (+.f64 (.f64 (-.f64 1.0 x) z) (*.f64 x y))))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt_binary64`
24×	`sqrt-prod_binary64`
23×	`pow1_binary64`
18×	`*-un-lft-identity_binary64`
16×	`add-cube-cbrt_binary64` `sqrt-div_binary64`
11×	`associate-l_binary64`
10×	`pow1/2_binary64` `sqrt-pow1_binary64`
9×	`associate-r_binary64`
8×	`flip3-+_binary64` `swap-sqr_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `flip-+_binary64`
5×	`pow-prod-up_binary64` `unswap-sqr_binary64`
4×	`pow-prod-down_binary64` `add-log-exp_binary64` `frac-times_binary64` `associate-*l/_binary64`
3×	`pow-sqr_binary64`
2×	`cbrt-unprod_binary64` `associate-r/_binary64` `rem-sqrt-square_binary64` `prod-exp_binary64` `-commutative_binary64`
1×	`flip3--_binary64` `rem-square-sqrt_binary64` `pow-plus_binary64` `sqrt-unprod_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `flip--_binary64` `pow2_binary64`

Counts

4 → 109

Calls

4 calls:

7.0ms	(*.f64 (-.f64 1.0 x) z)
7.0ms	(sqrt.f64 (+.f64 (.f64 (-.f64 1.0 x) z) (.f64 x y)))
7.0ms	(sqrt.f64 (+.f64 (.f64 (-.f64 1.0 x) z) (.f64 x y)))
18.0ms	(.f64 (sqrt.f64 (+.f64 (.f64 (-.f64 1.0 x) z) (.f64 x y))) (sqrt.f64 (+.f64 (.f64 (-.f64 1.0 x) z) (*.f64 x y))))

series77.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(*.f64 (-.f64 1.0 x) z)
30.0ms	(sqrt.f64 (+.f64 (.f64 (-.f64 1.0 x) z) (.f64 x y)))
32.0ms	(sqrt.f64 (+.f64 (.f64 (-.f64 1.0 x) z) (.f64 x y)))
10.0ms	(.f64 (sqrt.f64 (+.f64 (.f64 (-.f64 1.0 x) z) (.f64 x y))) (sqrt.f64 (+.f64 (.f64 (-.f64 1.0 x) z) (*.f64 x y))))

simplify40.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5380	1595

prune89.0ms

Filtered

72 candidates to 121 candidates (-68.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	121	0	121
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	121	3	124

Merged error: 0.0b

Counts

124 → 3

regimes163.0ms

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	21	9
1	21	9

end0.0ms

sample403.0ms

Algorithm

intervals

Results

218.0ms	8000×	body	80	valid
17.0ms	676×	body	80	invalid

Details

analyze533.0ms

sample16.0ms

simplify17.0ms

prune3.0ms

localize6.0ms

rewrite13.0ms

series17.0ms

simplify49.0ms

prune37.0ms

localize9.0ms

rewrite24.0ms

series26.0ms

simplify68.0ms

prune86.0ms

localize14.0ms

rewrite36.0ms

series38.0ms

simplify49.0ms

prune69.0ms

localize8.0ms

rewrite42.0ms

series77.0ms

simplify40.0ms

prune89.0ms

regimes163.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample403.0ms

Profiling