Details

analyze388.0ms

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
25%	74.9%	0.1%	7
31.2%	68.6%	0.1%	8
35.9%	64%	0.1%	9
47.6%	49.9%	2.5%	10
49.1%	46.8%	4%	11
51.1%	44.1%	4.8%	12
60.2%	29.9%	9.9%	13
60.6%	27.9%	11.6%	14

sample19.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
1.0ms	42×	body	80	invalid

simplify86.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (83.0ms)

Iter	Nodes	Cost
0	4849	11
1	4849	11

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: 13.5b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b	(.f64 (.f64 z z) (+.f64 z 1))
13.1b	(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z 1)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
12×	`cbrt-unprod_binary64` `prod-exp_binary64`
7×	`pow1_binary64`
6×	`cbrt-undiv_binary64` `div-exp_binary64`
5×	`*-un-lft-identity_binary64`
4×	`associate-r_binary64` `associate-*r/_binary64` `add-sqr-sqrt_binary64`
3×	`pow-prod-down_binary64` `add-cube-cbrt_binary64`
2×	`flip3-+_binary64` `add-log-exp_binary64` `associate-/r/_binary64` `flip-+_binary64`
1×	`associate-/r_binary64` `distribute-lft-out_binary64` `distribute-lft-in_binary64` `associate-l_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `times-frac_binary64` `div-inv_binary64` `*-commutative_binary64`

Counts

2 → 51

Calls

2 calls:

8.0ms	(.f64 (.f64 z z) (+.f64 z 1))
11.0ms	(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z 1)))

series23.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(.f64 (.f64 z z) (+.f64 z 1))
16.0ms	(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z 1)))

simplify55.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4965	583
1	4965	583

prune49.0ms

Filtered

33 candidates to 57 candidates (-72.7%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	49	8	57
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	50	8	58

Merged error: 2.2b

Counts

58 → 8

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 y (+.f64 z 1))
3.3b	(.f64 (/.f64 x (.f64 z z)) (/.f64 y (+.f64 z 1)))
8.0b	(/.f64 x (*.f64 z z))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

38×	`*-un-lft-identity_binary64`
34×	`add-sqr-sqrt_binary64` `times-frac_binary64`
31×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
24×	`add-cube-cbrt_binary64`
18×	`associate-r_binary64`
10×	`cbrt-undiv_binary64` `div-exp_binary64`
9×	`cbrt-unprod_binary64` `prod-exp_binary64`
7×	`distribute-lft-out_binary64` `associate-l_binary64`
6×	`associate-/l*_binary64`
5×	`associate-/r*_binary64` `pow1_binary64`
4×	`associate-/r/_binary64` `unswap-sqr_binary64` `div-inv_binary64`
3×	`add-log-exp_binary64`
2×	`flip3-+_binary64` `clear-num_binary64` `frac-2neg_binary64` `flip-+_binary64`
1×	`pow-prod-down_binary64` `associate-r/_binary64` `frac-times_binary64` `associate-l/_binary64` `*-commutative_binary64`

Counts

3 → 107

Calls

3 calls:

5.0ms	(/.f64 y (+.f64 z 1))
15.0ms	(.f64 (/.f64 x (.f64 z z)) (/.f64 y (+.f64 z 1)))
5.0ms	(/.f64 x (*.f64 z z))

series25.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(/.f64 y (+.f64 z 1))
13.0ms	(.f64 (/.f64 x (.f64 z z)) (/.f64 y (+.f64 z 1)))
6.0ms	(/.f64 x (*.f64 z z))

simplify77.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4954	1184
1	4954	1184

prune74.0ms

Filtered

77 candidates to 116 candidates (-50.6%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	110	6	116
Fresh	3	4	7
Picked	1	0	1
Done	0	0	0
Total	114	10	124

Merged error: 0.0b

Counts

124 → 10

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
0.7b	(.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) z) (*.f64 (/.f64 (cbrt.f64 x) z) (/.f64 y (+.f64 z 1))))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

73×	`add-exp-log_binary64`
57×	`add-cbrt-cube_binary64`
32×	`cbrt-unprod_binary64` `prod-exp_binary64`
22×	`cbrt-undiv_binary64` `div-exp_binary64`
9×	`*-un-lft-identity_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `cbrt-prod_binary64`
7×	`associate-l_binary64`
5×	`associate-*r/_binary64` `frac-times_binary64`
4×	`add-log-exp_binary64`
3×	`pow-prod-down_binary64` `pow1/3_binary64` `times-frac_binary64` `associate-*l/_binary64`
1×	`associate-r_binary64` `div-inv_binary64` `*-commutative_binary64`

Counts

4 → 88

Calls

4 calls:

1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
2.0ms	(cbrt.f64 x)
18.0ms	(.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) z) (*.f64 (/.f64 (cbrt.f64 x) z) (/.f64 y (+.f64 z 1))))

series68.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(cbrt.f64 x)
17.0ms	(cbrt.f64 x)
15.0ms	(cbrt.f64 x)
20.0ms	(.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) z) (*.f64 (/.f64 (cbrt.f64 x) z) (/.f64 y (+.f64 z 1))))

simplify69.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4973	871
1	4973	871

prune53.0ms

Filtered

59 candidates to 100 candidates (-69.5%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	98	2	100
Fresh	2	7	9
Picked	0	1	1
Done	0	0	0
Total	100	10	110

Merged error: 0b

Counts

110 → 10

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 y (+.f64 z 1))
1.4b	(.f64 (/.f64 1 z) (.f64 (/.f64 x z) (/.f64 y (+.f64 z 1))))
1.6b	(*.f64 (/.f64 x z) (/.f64 y (+.f64 z 1)))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

94×	`add-exp-log_binary64`
58×	`add-cbrt-cube_binary64`
48×	`*-un-lft-identity_binary64`
46×	`add-sqr-sqrt_binary64` `times-frac_binary64`
40×	`prod-exp_binary64`
34×	`add-cube-cbrt_binary64`
31×	`div-exp_binary64`
26×	`associate-l_binary64`
22×	`cbrt-unprod_binary64`
19×	`associate-r_binary64`
18×	`cbrt-undiv_binary64`
10×	`pow1_binary64`
7×	`distribute-lft-out_binary64`
6×	`associate-*r/_binary64` `frac-times_binary64`
5×	`1-exp_binary64` `rec-exp_binary64`
4×	`pow-prod-down_binary64` `associate-/r_binary64` `associate-/r/_binary64` `unswap-sqr_binary64` `div-inv_binary64` `associate-l/_binary64`
3×	`add-log-exp_binary64` `associate-/l*_binary64`
2×	`flip3-+_binary64` `flip-+_binary64` `*-commutative_binary64`
1×	`clear-num_binary64` `frac-2neg_binary64`

Counts

3 → 149

Calls

3 calls:

6.0ms	(/.f64 y (+.f64 z 1))
15.0ms	(.f64 (/.f64 1 z) (.f64 (/.f64 x z) (/.f64 y (+.f64 z 1))))
16.0ms	(*.f64 (/.f64 x z) (/.f64 y (+.f64 z 1)))

series29.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(/.f64 y (+.f64 z 1))
11.0ms	(.f64 (/.f64 1 z) (.f64 (/.f64 x z) (/.f64 y (+.f64 z 1))))
12.0ms	(*.f64 (/.f64 x z) (/.f64 y (+.f64 z 1)))

simplify37.0ms

Algorithm

egg-herbie

Counts

158 → 158

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	5001	1735

prune64.0ms

Filtered

96 candidates to 158 candidates (-64.6%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	156	2	158
Fresh	3	5	8
Picked	0	1	1
Done	0	1	1
Total	159	9	168

Merged error: 0b

Counts

168 → 9

regimes180.0ms

Accuracy

0% (1.3b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 1.4b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	18
1	16	18

end0.0ms

sample528.0ms

Algorithm

intervals

Results

271.0ms	8000×	body	80	valid
56.0ms	1554×	body	80	invalid

Details

analyze388.0ms

sample19.0ms

simplify86.0ms

prune2.0ms

localize7.0ms

rewrite21.0ms

series23.0ms

simplify55.0ms

prune49.0ms

localize7.0ms

rewrite30.0ms

series25.0ms

simplify77.0ms

prune74.0ms

localize11.0ms

rewrite27.0ms

series68.0ms

simplify69.0ms

prune53.0ms

localize9.0ms

rewrite45.0ms

series29.0ms

simplify37.0ms

prune64.0ms

regimes180.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample528.0ms

Profiling