Details

analyze254.0ms

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
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
18.7%	81.1%	0.1%	8
36.7%	60.8%	2.5%	9
43.3%	49.9%	6.8%	10
49.7%	40.8%	9.5%	11
58.2%	30.2%	11.6%	12
61.3%	24.4%	14.3%	13
65%	19.8%	15.3%	14

sample14.0ms

Algorithm

intervals

Results

5.0ms	256×	body	80	valid
0.0ms	16×	body	80	invalid

simplify13.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (11.0ms)

Iter	Nodes	Cost
0	300	7
1	300	7

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

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt_binary64`
6×	`*-un-lft-identity_binary64`
5×	`associate-r_binary64`
4×	`add-log-exp_binary64` `sub-neg_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`associate-l_binary64`
2×	`associate-*r/_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `associate-+r+_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 → 37

Calls

2 calls:

6.0ms	(*.f64 y (-.f64 z x))
6.0ms	(+.f64 x (*.f64 y (-.f64 z x)))

series24.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(*.f64 y (-.f64 z x))
16.0ms	(+.f64 x (*.f64 y (-.f64 z x)))

simplify57.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4949	327
1	4949	327

prune41.0ms

Filtered

29 candidates to 43 candidates (-48.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	40	3	43
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	40	4	44

Merged error: 0b

Counts

44 → 4

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (*.f64 y z))
0.0b	(+.f64 (+.f64 x (.f64 y z)) (.f64 y (neg.f64 x)))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp_binary64`
4×	`sum-log_binary64`
2×	`flip3-+_binary64` `*-un-lft-identity_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64` `+-commutative_binary64` `flip-+_binary64`
1×	`distribute-rgt-neg-out_binary64` `associate-+l+_binary64` `unsub-neg_binary64`

Counts

2 → 25

Calls

2 calls:

3.0ms	(+.f64 x (*.f64 y z))
6.0ms	(+.f64 (+.f64 x (.f64 y z)) (.f64 y (neg.f64 x)))

series14.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(+.f64 x (*.f64 y z))
7.0ms	(+.f64 (+.f64 x (.f64 y z)) (.f64 y (neg.f64 x)))

simplify50.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4980	269
1	4980	269

prune29.0ms

Filtered

20 candidates to 31 candidates (-55.0%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	31	0	31
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	31	4	35

Merged error: 0b

Counts

35 → 4

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (*.f64 y (-.f64 z x)))
0.1b	(sqrt.f64 (+.f64 x (*.f64 y (-.f64 z x))))
0.1b	(sqrt.f64 (+.f64 x (*.f64 y (-.f64 z x))))
0.3b	(.f64 (sqrt.f64 (+.f64 x (.f64 y (-.f64 z x)))) (sqrt.f64 (+.f64 x (*.f64 y (-.f64 z x)))))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt_binary64`
24×	`sqrt-prod_binary64`
21×	`pow1_binary64`
16×	`sqrt-div_binary64`
14×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
10×	`pow1/2_binary64` `sqrt-pow1_binary64`
9×	`flip3-+_binary64` `flip-+_binary64`
8×	`swap-sqr_binary64`
6×	`add-log-exp_binary64` `associate-r_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l_binary64`
5×	`pow-prod-up_binary64`
4×	`unswap-sqr_binary64` `frac-times_binary64`
3×	`pow-prod-down_binary64` `pow-sqr_binary64`
2×	`sub-neg_binary64` `associate-r/_binary64` `rem-sqrt-square_binary64` `associate-+r+_binary64` `associate-l/_binary64`
1×	`cbrt-unprod_binary64` `rem-square-sqrt_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `pow-plus_binary64` `sqrt-unprod_binary64` `prod-exp_binary64` `+-commutative_binary64` `pow2_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 100

Calls

4 calls:

4.0ms	(+.f64 x (*.f64 y (-.f64 z x)))
3.0ms	(sqrt.f64 (+.f64 x (*.f64 y (-.f64 z x))))
3.0ms	(sqrt.f64 (+.f64 x (*.f64 y (-.f64 z x))))
10.0ms	(.f64 (sqrt.f64 (+.f64 x (.f64 y (-.f64 z x)))) (sqrt.f64 (+.f64 x (*.f64 y (-.f64 z x)))))

series81.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(+.f64 x (*.f64 y (-.f64 z x)))
31.0ms	(sqrt.f64 (+.f64 x (*.f64 y (-.f64 z x))))
36.0ms	(sqrt.f64 (+.f64 x (*.f64 y (-.f64 z x))))
8.0ms	(.f64 (sqrt.f64 (+.f64 x (.f64 y (-.f64 z x)))) (sqrt.f64 (+.f64 x (*.f64 y (-.f64 z x)))))

simplify50.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5010	1298

prune64.0ms

Filtered

66 candidates to 112 candidates (-69.7%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	112	0	112
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	112	4	116

Merged error: 0b

Counts

116 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(*.f64 y (-.f64 z x))
0.0b	(+.f64 x (*.f64 y (-.f64 z x)))
0.2b	(pow.f64 (+.f64 x (*.f64 y (-.f64 z x))) 3)
38.0b	(cbrt.f64 (pow.f64 (+.f64 x (*.f64 y (-.f64 z x))) 3))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64`
14×	`*-un-lft-identity_binary64`
12×	`add-cube-cbrt_binary64` `cbrt-prod_binary64`
7×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`add-log-exp_binary64` `unpow-prod-down_binary64` `cube-prod_binary64`
5×	`associate-r_binary64`
4×	`sub-neg_binary64` `cube-div_binary64`
3×	`flip3-+_binary64` `pow-unpow_binary64` `associate-l_binary64` `flip-+_binary64`
2×	`cbrt-div_binary64` `associate-*r/_binary64` `sqr-pow_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `associate-+r+_binary64` `unpow3_binary64` `cube-mult_binary64`
1×	`pow-to-exp_binary64` `pow-prod-down_binary64` `rem-cbrt-cube_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `pow1/3_binary64` `pow-pow_binary64` `unswap-sqr_binary64` `rem-cube-cbrt_binary64` `prod-exp_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `+-commutative_binary64` `flip--_binary64` `pow-exp_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 85

Calls

4 calls:

7.0ms	(*.f64 y (-.f64 z x))
4.0ms	(+.f64 x (*.f64 y (-.f64 z x)))
4.0ms	(pow.f64 (+.f64 x (*.f64 y (-.f64 z x))) 3)
6.0ms	(cbrt.f64 (pow.f64 (+.f64 x (*.f64 y (-.f64 z x))) 3))

series50.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(*.f64 y (-.f64 z x))
8.0ms	(+.f64 x (*.f64 y (-.f64 z x)))
27.0ms	(pow.f64 (+.f64 x (*.f64 y (-.f64 z x))) 3)
8.0ms	(cbrt.f64 (pow.f64 (+.f64 x (*.f64 y (-.f64 z x))) 3))

simplify47.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5027	1010

prune58.0ms

Filtered

56 candidates to 97 candidates (-73.2%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	97	0	97
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	97	4	101

Merged error: 0b

Counts

101 → 4

regimes188.0ms

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	18	7
1	18	7

end0.0ms

sample362.0ms

Algorithm

intervals

Results

178.0ms	8000×	body	80	valid
15.0ms	569×	body	80	invalid

Details

analyze254.0ms

sample14.0ms

simplify13.0ms

prune3.0ms

localize5.0ms

rewrite13.0ms

series24.0ms

simplify57.0ms

prune41.0ms

localize7.0ms

rewrite10.0ms

series14.0ms

simplify50.0ms

prune29.0ms

localize7.0ms

rewrite22.0ms

series81.0ms

simplify50.0ms

prune64.0ms

localize8.0ms

rewrite23.0ms

series50.0ms

simplify47.0ms

prune58.0ms

regimes188.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample362.0ms

Profiling