Details

analyze658.0ms

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
7.8%	92%	0.2%	8
16.4%	83.4%	0.2%	9
23.8%	76%	0.2%	10
25.1%	74.7%	0.2%	11
38.1%	59.4%	2.5%	12
41.8%	55.3%	2.9%	13
46.5%	50.3%	3.1%	14

sample26.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
2.0ms	68×	body	80	invalid

simplify286.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (277.0ms)

Iter	Nodes	Cost
0	1485	16
1	1485	16

prune1.0ms

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: 4.7b

Counts

2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 t (-.f64 1 z))
0.0b	(-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z)))
4.5b	(*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

54×	`add-sqr-sqrt_binary64`
50×	`*-un-lft-identity_binary64`
34×	`times-frac_binary64`
16×	`add-cube-cbrt_binary64` `difference-of-squares_binary64`
12×	`distribute-lft-out--_binary64`
10×	`associate-r_binary64`
7×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`associate-/r*_binary64`
5×	`add-log-exp_binary64` `pow1_binary64`
3×	`sub-neg_binary64` `flip3--_binary64` `associate-r/_binary64` `associate-l_binary64` `associate-/l_binary64` `flip--_binary64`
2×	`associate-/r/_binary64` `frac-sub_binary64`
1×	`pow-prod-down_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `*-commutative_binary64`

Counts

3 → 90

Calls

3 calls:

6.0ms	(/.f64 t (-.f64 1 z))
22.0ms	(-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z)))
24.0ms	(*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))

series130.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(/.f64 t (-.f64 1 z))
35.0ms	(-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z)))
67.0ms	(*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))

simplify85.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	5335	1707

prune85.0ms

Filtered

72 candidates to 99 candidates (-37.5%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	91	8	99
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	92	8	100

Merged error: 0.0b

Counts

100 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(/.f64 t (-.f64 z 1))
0.0b	(+.f64 (.f64 x (/.f64 y z)) (.f64 x (/.f64 t (-.f64 z 1))))
2.7b	(*.f64 x (/.f64 t (-.f64 z 1)))
6.4b	(*.f64 x (/.f64 y z))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

74×	`add-sqr-sqrt_binary64`
57×	`*-un-lft-identity_binary64`
53×	`times-frac_binary64`
40×	`associate-r_binary64`
36×	`add-cube-cbrt_binary64`
16×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
14×	`difference-of-squares_binary64`
8×	`pow1_binary64`
7×	`associate-/r*_binary64` `difference-of-sqr-1_binary64` `distribute-lft-out--_binary64`
6×	`add-log-exp_binary64` `associate-l_binary64`
4×	`cbrt-unprod_binary64` `associate-*r/_binary64` `associate-/r/_binary64` `unswap-sqr_binary64` `prod-exp_binary64`
3×	`cbrt-undiv_binary64` `associate-/l*_binary64` `div-inv_binary64` `div-exp_binary64`
2×	`pow-prod-down_binary64` `flip3--_binary64` `flip--_binary64` `*-commutative_binary64`
1×	`flip3-+_binary64` `distribute-lft-out_binary64` `frac-add_binary64` `clear-num_binary64` `frac-2neg_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

4 → 136

Calls

4 calls:

6.0ms	(/.f64 t (-.f64 z 1))
6.0ms	(+.f64 (.f64 x (/.f64 y z)) (.f64 x (/.f64 t (-.f64 z 1))))
11.0ms	(*.f64 x (/.f64 t (-.f64 z 1)))
7.0ms	(*.f64 x (/.f64 y z))

series157.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(/.f64 t (-.f64 z 1))
65.0ms	(+.f64 (.f64 x (/.f64 y z)) (.f64 x (/.f64 t (-.f64 z 1))))
48.0ms	(*.f64 x (/.f64 t (-.f64 z 1)))
21.0ms	(*.f64 x (/.f64 y z))

simplify79.0ms

Algorithm

egg-herbie

Counts

148 → 148

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4973	2091
1	4973	2091

prune104.0ms

Filtered

103 candidates to 148 candidates (-43.7%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	144	4	148
Fresh	3	4	7
Picked	1	0	1
Done	0	0	0
Total	148	8	156

Merged error: 0.0b

Counts

156 → 8

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/.f64 t (-.f64 z 1))
0.0b	(+.f64 (/.f64 (.f64 x y) z) (.f64 x (/.f64 t (-.f64 z 1))))
2.7b	(*.f64 x (/.f64 t (-.f64 z 1)))
3.2b	(/.f64 (*.f64 x y) z)

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

63×	`add-sqr-sqrt_binary64`
51×	`*-un-lft-identity_binary64`
46×	`times-frac_binary64`
30×	`add-cube-cbrt_binary64`
27×	`associate-r_binary64`
16×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
14×	`difference-of-squares_binary64`
10×	`associate-/r*_binary64`
7×	`difference-of-sqr-1_binary64` `distribute-lft-out--_binary64`
6×	`add-log-exp_binary64` `pow1_binary64`
4×	`cbrt-undiv_binary64` `associate-/r/_binary64` `associate-/l*_binary64` `div-exp_binary64`
3×	`cbrt-unprod_binary64` `associate-l_binary64` `prod-exp_binary64` `div-inv_binary64`
2×	`flip3--_binary64` `associate-*r/_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `flip--_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `frac-add_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 124

Calls

4 calls:

6.0ms	(/.f64 t (-.f64 z 1))
6.0ms	(+.f64 (/.f64 (.f64 x y) z) (.f64 x (/.f64 t (-.f64 z 1))))
12.0ms	(*.f64 x (/.f64 t (-.f64 z 1)))
5.0ms	(/.f64 (*.f64 x y) z)

series160.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(/.f64 t (-.f64 z 1))
67.0ms	(+.f64 (/.f64 (.f64 x y) z) (.f64 x (/.f64 t (-.f64 z 1))))
45.0ms	(*.f64 x (/.f64 t (-.f64 z 1)))
22.0ms	(/.f64 (*.f64 x y) z)

simplify103.0ms

Algorithm

egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	4966	1943
1	4966	1943

prune89.0ms

Filtered

93 candidates to 136 candidates (-46.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	136	0	136
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	136	8	144

Merged error: 0.0b

Counts

144 → 8

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(/.f64 t (-.f64 z 1))
0.0b	(+.f64 (.f64 (.f64 x y) (/.f64 1 z)) (*.f64 x (/.f64 t (-.f64 z 1))))
2.7b	(*.f64 x (/.f64 t (-.f64 z 1)))
3.3b	(.f64 (.f64 x y) (/.f64 1 z))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

68×	`add-sqr-sqrt_binary64`
56×	`*-un-lft-identity_binary64`
52×	`times-frac_binary64`
40×	`associate-r_binary64`
35×	`add-cube-cbrt_binary64`
33×	`add-exp-log_binary64`
23×	`add-cbrt-cube_binary64`
14×	`prod-exp_binary64` `difference-of-squares_binary64`
11×	`pow1_binary64`
8×	`cbrt-unprod_binary64`
7×	`associate-/r*_binary64` `difference-of-sqr-1_binary64` `distribute-lft-out--_binary64`
6×	`add-log-exp_binary64` `div-exp_binary64`
5×	`associate-*r/_binary64`
4×	`pow-prod-down_binary64` `cbrt-undiv_binary64` `associate-/r/_binary64` `associate-l_binary64`
3×	`associate-/l*_binary64` `div-inv_binary64`
2×	`flip3--_binary64` `1-exp_binary64` `frac-add_binary64` `unswap-sqr_binary64` `rec-exp_binary64` `un-div-inv_binary64` `flip--_binary64` `*-commutative_binary64`
1×	`flip3-+_binary64` `clear-num_binary64` `frac-2neg_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

4 → 142

Calls

4 calls:

6.0ms	(/.f64 t (-.f64 z 1))
9.0ms	(+.f64 (.f64 (.f64 x y) (/.f64 1 z)) (*.f64 x (/.f64 t (-.f64 z 1))))
11.0ms	(*.f64 x (/.f64 t (-.f64 z 1)))
8.0ms	(.f64 (.f64 x y) (/.f64 1 z))

series152.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(/.f64 t (-.f64 z 1))
67.0ms	(+.f64 (.f64 (.f64 x y) (/.f64 1 z)) (*.f64 x (/.f64 t (-.f64 z 1))))
43.0ms	(*.f64 x (/.f64 t (-.f64 z 1)))
19.0ms	(.f64 (.f64 x y) (/.f64 1 z))

simplify87.0ms

Algorithm

egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4976	2134
1	4976	2134

prune95.0ms

Filtered

98 candidates to 154 candidates (-57.1%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	154	0	154
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	154	8	162

Merged error: 0.0b

Counts

162 → 8

regimes146.0ms

Accuracy

49.3% (2.8b remaining)

Error of 2.8b against oracle of 0.0b and baseline of 5.5b

bsearch1.0ms

simplify6.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	91	163
1	91	163

end0.0ms

sample599.0ms

Algorithm

intervals

Results

294.0ms	8000×	body	80	valid
65.0ms	1853×	body	80	invalid

Details

analyze658.0ms

sample26.0ms

simplify286.0ms

prune1.0ms

localize8.0ms

rewrite55.0ms

series130.0ms

simplify85.0ms

prune85.0ms

localize11.0ms

rewrite36.0ms

series157.0ms

simplify79.0ms

prune104.0ms

localize9.0ms

rewrite38.0ms

series160.0ms

simplify103.0ms

prune89.0ms

localize13.0ms

rewrite40.0ms

series152.0ms

simplify87.0ms

prune95.0ms

regimes146.0ms

bsearch1.0ms

simplify6.0ms

end0.0ms

sample599.0ms

Profiling