Details

analyze910.0ms

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
0%	99.8%	0.2%	9
0%	99.8%	0.2%	10
13.2%	86.5%	0.2%	11
16.8%	83%	0.2%	12
22.7%	77.1%	0.2%	13
24.1%	74.7%	1.3%	14

sample42.0ms

Algorithm

intervals

Results

14.0ms	256×	body	80	valid
4.0ms	67×	body	80	invalid

simplify52.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	718	9
1	718	9

prune4.0ms

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: 6.1b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(-.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))
0.0b	(*.f64 y (-.f64 z t))
6.3b	(/.f64 (*.f64 y (-.f64 z t)) a)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 60

Calls

3 calls:

5.0ms	(-.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))
7.0ms	(*.f64 y (-.f64 z t))
7.0ms	(/.f64 (*.f64 y (-.f64 z t)) a)

series45.0ms

Counts

3 → 9

Calls

3 calls:

17.0ms	(-.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))
8.0ms	(*.f64 y (-.f64 z t))
19.0ms	(/.f64 (*.f64 y (-.f64 z t)) a)

simplify40.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5000	603

prune76.0ms

Filtered

46 candidates to 69 candidates (-50.0%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	64	5	69
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	65	5	70

Merged error: 0b

Counts

70 → 5

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (*.f64 (/.f64 y a) (-.f64 t z)))
6.3b	(*.f64 (/.f64 y a) (-.f64 t z))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary64`
13×	`associate-l_binary64`
12×	`*-un-lft-identity_binary64`
10×	`add-cube-cbrt_binary64` `times-frac_binary64`
7×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`associate-r_binary64`
4×	`add-log-exp_binary64` `sub-neg_binary64` `pow1_binary64`
2×	`flip3--_binary64` `cbrt-unprod_binary64` `associate-*r/_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `flip--_binary64` `associate-+r+_binary64` `frac-times_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `cbrt-undiv_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `div-inv_binary64` `div-exp_binary64` `+-commutative_binary64` `flip-+_binary64` `associate-l/_binary64` `sum-log_binary64` `-commutative_binary64`

Counts

2 → 53

Calls

2 calls:

4.0ms	(+.f64 x (*.f64 (/.f64 y a) (-.f64 t z)))
9.0ms	(*.f64 (/.f64 y a) (-.f64 t z))

series32.0ms

Counts

2 → 6

Calls

2 calls:

17.0ms	(+.f64 x (*.f64 (/.f64 y a) (-.f64 t z)))
15.0ms	(*.f64 (/.f64 y a) (-.f64 t z))

simplify35.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5011	583

prune58.0ms

Filtered

43 candidates to 59 candidates (-37.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	59	0	59
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	59	5	64

Merged error: 0b

Counts

64 → 5

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 a (-.f64 z t))
0.0b	(-.f64 x (/.f64 y (/.f64 a (-.f64 z t))))
7.4b	(/.f64 y (/.f64 a (-.f64 z t)))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

141×	`times-frac_binary64`
112×	`add-sqr-sqrt_binary64`
105×	`*-un-lft-identity_binary64`
71×	`add-cube-cbrt_binary64`
26×	`associate-/r*_binary64`
19×	`difference-of-squares_binary64`
17×	`distribute-lft-out--_binary64`
11×	`associate-/r/_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`flip3--_binary64` `associate-/l*_binary64` `div-inv_binary64` `flip--_binary64`
5×	`add-log-exp_binary64`
4×	`cbrt-undiv_binary64` `div-exp_binary64`
3×	`pow1_binary64`
2×	`clear-num_binary64` `frac-2neg_binary64`
1×	`sub-neg_binary64` `diff-log_binary64`

Counts

3 → 154

Calls

3 calls:

6.0ms	(/.f64 a (-.f64 z t))
23.0ms	(-.f64 x (/.f64 y (/.f64 a (-.f64 z t))))
9.0ms	(/.f64 y (/.f64 a (-.f64 z t)))

series42.0ms

Counts

3 → 9

Calls

3 calls:

9.0ms	(/.f64 a (-.f64 z t))
18.0ms	(-.f64 x (/.f64 y (/.f64 a (-.f64 z t))))
15.0ms	(/.f64 y (/.f64 a (-.f64 z t)))

simplify57.0ms

Algorithm

egg-herbie

Counts

163 → 163

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4999	2110
1	4999	2110

prune121.0ms

Filtered

121 candidates to 163 candidates (-34.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	162	1	163
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	163	5	168

Merged error: 0b

Counts

168 → 5

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(-.f64 x (/.f64 y (*.f64 a (/.f64 1 (-.f64 z t)))))
0.0b	(/.f64 1 (-.f64 z t))
0.3b	(*.f64 a (/.f64 1 (-.f64 z t)))
7.4b	(/.f64 y (*.f64 a (/.f64 1 (-.f64 z t))))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-sqr-sqrt_binary64`
43×	`*-un-lft-identity_binary64`
35×	`times-frac_binary64`
32×	`add-exp-log_binary64`
26×	`add-cube-cbrt_binary64`
21×	`associate-r_binary64`
20×	`add-cbrt-cube_binary64`
11×	`div-exp_binary64`
8×	`prod-exp_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64`
7×	`pow1_binary64`
6×	`associate-/r_binary64` `add-log-exp_binary64` `cbrt-undiv_binary64` `associate-/r/_binary64` `associate-/l_binary64`
4×	`cbrt-unprod_binary64`
3×	`flip3--_binary64` `1-exp_binary64` `associate-l_binary64` `unswap-sqr_binary64` `rec-exp_binary64` `div-inv_binary64` `flip--_binary64`
2×	`associate-*r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `un-div-inv_binary64`
1×	`pow-prod-down_binary64` `sub-neg_binary64` `diff-log_binary64` `inv-pow_binary64` `pow-flip_binary64` `*-commutative_binary64`

Counts

4 → 125

Calls

4 calls:

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

series50.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(-.f64 x (/.f64 y (*.f64 a (/.f64 1 (-.f64 z t)))))
5.0ms	(/.f64 1 (-.f64 z t))
8.0ms	(*.f64 a (/.f64 1 (-.f64 z t)))
18.0ms	(/.f64 y (*.f64 a (/.f64 1 (-.f64 z t))))

simplify44.0ms

Algorithm

egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	4939	1099
1	4939	1099

prune310.0ms

Filtered

81 candidates to 137 candidates (-69.1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	137	0	137
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	137	5	142

Merged error: 0b

Counts

142 → 5

regimes542.0ms

Accuracy

44.6% (1.3b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 2.4b

bsearch0.0ms

simplify7.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	314	45
1	314	45

end0.0ms

sample705.0ms

Algorithm

intervals

Results

297.0ms	8000×	body	80	valid
82.0ms	2394×	body	80	invalid

Details

analyze910.0ms

sample42.0ms

simplify52.0ms

prune4.0ms

localize7.0ms

rewrite21.0ms

series45.0ms

simplify40.0ms

prune76.0ms

localize8.0ms

rewrite15.0ms

series32.0ms

simplify35.0ms

prune58.0ms

localize7.0ms

rewrite45.0ms

series42.0ms

simplify57.0ms

prune121.0ms

localize8.0ms

rewrite37.0ms

series50.0ms

simplify44.0ms

prune310.0ms

regimes542.0ms

bsearch0.0ms

simplify7.0ms

end0.0ms

sample705.0ms

Profiling