Details

analyze790.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
6.2%	93.6%	0.2%	9
9.4%	90.4%	0.2%	10
23.4%	74.9%	1.8%	11
27.3%	69%	3.7%	12
36.6%	56.5%	6.8%	13
40.5%	52%	7.4%	14

sample18.0ms

Algorithm

intervals

Results

7.0ms	256×	body	128	valid
2.0ms	62×	body	128	invalid

simplify29.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	438	10
1	438	10

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

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(*.f64 t (-.f64 x z))
6.8b	(.f64 y (.f64 t (-.f64 x z)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64`
7×	`*-un-lft-identity_binary64`
6×	`sub-neg_binary64` `associate-r_binary64` `associate-r/_binary64` `associate-l*_binary64`
5×	`add-cube-cbrt_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64`
4×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
2×	`add-log-exp_binary64` `flip3--_binary64` `flip--_binary64` `*-commutative_binary64`
1×	`unswap-sqr_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64`

Counts

2 → 48

Calls

2 calls:

11.0ms	(*.f64 t (-.f64 x z))
8.0ms	(.f64 y (.f64 t (-.f64 x z)))

series186.0ms

Counts

2 → 6

Calls

2 calls:

75.0ms	(*.f64 t (-.f64 x z))
111.0ms	(.f64 y (.f64 t (-.f64 x z)))

simplify48.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5262	578

prune38.0ms

Filtered

32 candidates to 54 candidates (-68.8%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	47	7	54
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	48	8	56

Merged error: 0.0b

Counts

56 → 8

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 y (.f64 t x)) (.f64 y (.f64 t (neg.f64 z))))
5.7b	(.f64 y (.f64 t (neg.f64 z)))
5.9b	(.f64 y (.f64 t x))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

13×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `associate-l_binary64` `prod-exp_binary64`
5×	`*-un-lft-identity_binary64` `add-log-exp_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`distribute-rgt-neg-out_binary64`
2×	`associate-r_binary64` `*-commutative_binary64`
1×	`flip3-+_binary64` `distribute-lft-out_binary64` `+-commutative_binary64` `flip-+_binary64` `unsub-neg_binary64` `sum-log_binary64`

Counts

3 → 50

Calls

3 calls:

6.0ms	(+.f64 (.f64 y (.f64 t x)) (.f64 y (.f64 t (neg.f64 z))))
6.0ms	(.f64 y (.f64 t (neg.f64 z)))
5.0ms	(.f64 y (.f64 t x))

series230.0ms

Counts

3 → 9

Calls

3 calls:

126.0ms	(+.f64 (.f64 y (.f64 t x)) (.f64 y (.f64 t (neg.f64 z))))
51.0ms	(.f64 y (.f64 t (neg.f64 z)))
53.0ms	(.f64 y (.f64 t x))

simplify68.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5103	610

prune31.0ms

Filtered

38 candidates to 59 candidates (-55.3%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	58	1	59
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	58	9	67

Merged error: 0.0b

Counts

67 → 9

localize5.0ms

Local error

Found 1 expressions with local error:

7.7b	(.f64 (.f64 y t) (-.f64 x z))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`associate-r_binary64`
4×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
2×	`sub-neg_binary64` `associate-*r/_binary64` `add-cube-cbrt_binary64`
1×	`add-log-exp_binary64` `flip3--_binary64` `distribute-lft-in_binary64` `associate-l_binary64` `distribute-rgt-in_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `flip--_binary64` `*-commutative_binary64`

Counts

1 → 24

Calls

1 calls:

8.0ms

(*.f64 (*.f64 y t) (-.f64 x z))

series103.0ms

Counts

1 → 3

Calls

1 calls:

102.0ms

(*.f64 (*.f64 y t) (-.f64 x z))

simplify52.0ms

Algorithm

egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4991	315
1	4991	315

prune17.0ms

Filtered

15 candidates to 27 candidates (-80.0%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	25	2	27
Fresh	2	5	7
Picked	0	1	1
Done	0	1	1
Total	27	9	36

Merged error: 0.0b

Counts

36 → 9

localize10.0ms

Local error

Found 4 expressions with local error:

6.8b	(.f64 y (.f64 (.f64 (cbrt.f64 (.f64 t (-.f64 x z))) (cbrt.f64 (.f64 t (-.f64 x z)))) (cbrt.f64 (.f64 t (-.f64 x z)))))
9.4b	(cbrt.f64 (*.f64 t (-.f64 x z)))
9.4b	(cbrt.f64 (*.f64 t (-.f64 x z)))
9.4b	(cbrt.f64 (*.f64 t (-.f64 x z)))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

94×	`associate-*r/_binary64`
60×	`cbrt-div_binary64`
30×	`flip3--_binary64` `flip--_binary64`
28×	`frac-times_binary64`
14×	`associate-*l/_binary64`
13×	`pow1_binary64` `add-exp-log_binary64`
9×	`add-cbrt-cube_binary64`
6×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
5×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`add-log-exp_binary64`
3×	`pow1/3_binary64` `associate-l_binary64` `cbrt-prod_binary64`
1×	`associate-r_binary64` `*-commutative_binary64`

Counts

4 → 80

Calls

4 calls:

22.0ms	(.f64 y (.f64 (.f64 (cbrt.f64 (.f64 t (-.f64 x z))) (cbrt.f64 (.f64 t (-.f64 x z)))) (cbrt.f64 (.f64 t (-.f64 x z)))))
5.0ms	(cbrt.f64 (*.f64 t (-.f64 x z)))
5.0ms	(cbrt.f64 (*.f64 t (-.f64 x z)))
5.0ms	(cbrt.f64 (*.f64 t (-.f64 x z)))

series1.0s

Counts

4 → 12

Calls

4 calls:

181.0ms	(.f64 y (.f64 (.f64 (cbrt.f64 (.f64 t (-.f64 x z))) (cbrt.f64 (.f64 t (-.f64 x z)))) (cbrt.f64 (.f64 t (-.f64 x z)))))
278.0ms	(cbrt.f64 (*.f64 t (-.f64 x z)))
285.0ms	(cbrt.f64 (*.f64 t (-.f64 x z)))
270.0ms	(cbrt.f64 (*.f64 t (-.f64 x z)))

simplify50.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	6022	1949

prune64.0ms

Filtered

68 candidates to 92 candidates (-35.3%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	92	0	92
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	92	9	101

Merged error: 0.0b

Counts

101 → 9

regimes194.0ms

Accuracy

92.4% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 7.4b

bsearch1.0ms

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	95	122
1	95	122

end0.0ms

sample547.0ms

Algorithm

intervals

Results

234.0ms	8000×	body	128	valid
61.0ms	2002×	body	128	invalid

Details

analyze790.0ms

sample18.0ms

simplify29.0ms

prune4.0ms

localize5.0ms

rewrite22.0ms

series186.0ms

simplify48.0ms

prune38.0ms

localize9.0ms

rewrite21.0ms

series230.0ms

simplify68.0ms

prune31.0ms

localize5.0ms

rewrite10.0ms

series103.0ms

simplify52.0ms

prune17.0ms

localize10.0ms

rewrite51.0ms

series1.0s

simplify50.0ms

prune64.0ms

regimes194.0ms

bsearch1.0ms

simplify4.0ms

end0.0ms

sample547.0ms

Profiling