Details

analyze498.0ms

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
12.5%	87.3%	0.2%	7
15.6%	84.2%	0.2%	8
28.1%	71.7%	0.2%	9
37.4%	62.4%	0.2%	10
43.7%	56.1%	0.2%	11
53%	46.8%	0.2%	12
64.1%	35.6%	0.3%	13
66.7%	32.8%	0.5%	14

sample18.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
0.0ms	13×	body	80	invalid

simplify204.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (192.0ms)

Iter	Nodes	Cost
0	5015	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: 0.5b

Counts

2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(*.f64 (-.f64 y z) (-.f64 y t))
6.7b	(/.f64 x (*.f64 (-.f64 y z) (-.f64 y t)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

12×	`flip3--_binary64` `add-sqr-sqrt_binary64` `flip--_binary64`
10×	`*-un-lft-identity_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`associate-/r/_binary64` `frac-times_binary64`
6×	`add-cube-cbrt_binary64`
5×	`associate-r_binary64` `associate-l_binary64`
4×	`pow1_binary64` `associate-r/_binary64` `associate-l/_binary64`
3×	`associate-/l*_binary64` `times-frac_binary64`
2×	`add-log-exp_binary64` `sub-neg_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` `associate-/r_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `-commutative_binary64`

Counts

2 → 61

Calls

2 calls:

10.0ms	(*.f64 (-.f64 y z) (-.f64 y t))
10.0ms	(/.f64 x (*.f64 (-.f64 y z) (-.f64 y t)))

series100.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(*.f64 (-.f64 y z) (-.f64 y t))
75.0ms	(/.f64 x (*.f64 (-.f64 y z) (-.f64 y t)))

simplify65.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4997	1078
1	4997	1078

prune85.0ms

Filtered

51 candidates to 67 candidates (-31.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	64	3	67
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	64	4	68

Merged error: 0b

Counts

68 → 4

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(*.f64 (-.f64 y z) (-.f64 y t))
0.7b	(/.f64 1 (*.f64 (-.f64 y z) (-.f64 y t)))
6.3b	(.f64 x (/.f64 1 (.f64 (-.f64 y z) (-.f64 y t))))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-exp-log_binary64`
20×	`associate-r_binary64`
19×	`add-cbrt-cube_binary64`
18×	`flip3--_binary64` `add-sqr-sqrt_binary64` `flip--_binary64`
16×	`associate-/r/_binary64`
14×	`*-un-lft-identity_binary64` `prod-exp_binary64`
12×	`frac-times_binary64`
10×	`pow1_binary64` `add-cube-cbrt_binary64`
8×	`associate-l_binary64` `div-exp_binary64`
7×	`associate-*r/_binary64`
6×	`cbrt-unprod_binary64` `times-frac_binary64` `associate-*l/_binary64`
4×	`1-exp_binary64` `cbrt-undiv_binary64` `rec-exp_binary64`
3×	`pow-prod-down_binary64` `add-log-exp_binary64` `associate-/l*_binary64`
2×	`sub-neg_binary64` `unswap-sqr_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `div-inv_binary64` `pow-flip_binary64` `*-commutative_binary64`
1×	`associate-/r*_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `clear-num_binary64` `inv-pow_binary64` `frac-2neg_binary64` `un-div-inv_binary64`

Counts

3 → 108

Calls

3 calls:

11.0ms	(*.f64 (-.f64 y z) (-.f64 y t))
10.0ms	(/.f64 1 (*.f64 (-.f64 y z) (-.f64 y t)))
24.0ms	(.f64 x (/.f64 1 (.f64 (-.f64 y z) (-.f64 y t))))

series159.0ms

Counts

3 → 9

Calls

3 calls:

22.0ms	(*.f64 (-.f64 y z) (-.f64 y t))
54.0ms	(/.f64 1 (*.f64 (-.f64 y z) (-.f64 y t)))
83.0ms	(.f64 x (/.f64 1 (.f64 (-.f64 y z) (-.f64 y t))))

simplify72.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5059	1754

prune68.0ms

Filtered

75 candidates to 117 candidates (-56.0%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	117	0	117
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	117	4	121

Merged error: 0b

Counts

121 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

6.7b	(/.f64 x (*.f64 (-.f64 y z) (-.f64 y t)))
22.7b	(cbrt.f64 (/.f64 x (*.f64 (-.f64 y z) (-.f64 y t))))
22.7b	(cbrt.f64 (/.f64 x (*.f64 (-.f64 y z) (-.f64 y t))))
22.7b	(cbrt.f64 (/.f64 x (*.f64 (-.f64 y z) (-.f64 y t))))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

45×	`cbrt-prod_binary64`
32×	`associate-/r/_binary64`
24×	`flip3--_binary64` `flip--_binary64`
16×	`frac-times_binary64`
12×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `times-frac_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`associate-r/_binary64` `associate-l/_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `div-inv_binary64`
3×	`cbrt-div_binary64` `pow1/3_binary64` `associate-/l*_binary64`
2×	`cbrt-undiv_binary64` `div-exp_binary64`
1×	`associate-/r*_binary64` `cbrt-unprod_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64`

Counts

4 → 101

Calls

4 calls:

10.0ms	(/.f64 x (*.f64 (-.f64 y z) (-.f64 y t)))
9.0ms	(cbrt.f64 (/.f64 x (*.f64 (-.f64 y z) (-.f64 y t))))
9.0ms	(cbrt.f64 (/.f64 x (*.f64 (-.f64 y z) (-.f64 y t))))
10.0ms	(cbrt.f64 (/.f64 x (*.f64 (-.f64 y z) (-.f64 y t))))

series775.0ms

Counts

4 → 12

Calls

4 calls:

77.0ms	(/.f64 x (*.f64 (-.f64 y z) (-.f64 y t)))
238.0ms	(cbrt.f64 (/.f64 x (*.f64 (-.f64 y z) (-.f64 y t))))
231.0ms	(cbrt.f64 (/.f64 x (*.f64 (-.f64 y z) (-.f64 y t))))
229.0ms	(cbrt.f64 (/.f64 x (*.f64 (-.f64 y z) (-.f64 y t))))

simplify75.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5136	2587

prune121.0ms

Filtered

103 candidates to 113 candidates (-9.7%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	113	4	117

Merged error: 0b

Counts

117 → 4

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 x (-.f64 y t))
0.6b	(/.f64 1 (/.f64 (-.f64 y z) (/.f64 x (-.f64 y t))))
2.3b	(/.f64 (-.f64 y z) (/.f64 x (-.f64 y t)))

rewrite107.0ms

Algorithm

rewrite-expression-head

Rules

1260×	`times-frac_binary64`
844×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
468×	`add-cube-cbrt_binary64`
188×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
136×	`associate-/r*_binary64`
60×	`associate-/r/_binary64`
33×	`div-inv_binary64`
31×	`add-exp-log_binary64`
28×	`flip3--_binary64` `flip--_binary64`
19×	`add-cbrt-cube_binary64` `div-exp_binary64`
11×	`associate-/l*_binary64`
10×	`cbrt-undiv_binary64`
4×	`pow1_binary64`
3×	`add-log-exp_binary64` `1-exp_binary64` `clear-num_binary64` `frac-2neg_binary64` `rec-exp_binary64`
2×	`associate-/l/_binary64`
1×	`div-sub_binary64` `inv-pow_binary64` `pow-flip_binary64`

Counts

3 → 654

Calls

3 calls:

6.0ms	(/.f64 x (-.f64 y t))
29.0ms	(/.f64 1 (/.f64 (-.f64 y z) (/.f64 x (-.f64 y t))))
13.0ms	(/.f64 (-.f64 y z) (/.f64 x (-.f64 y t)))

series229.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(/.f64 x (-.f64 y t))
138.0ms	(/.f64 1 (/.f64 (-.f64 y z) (/.f64 x (-.f64 y t))))
59.0ms	(/.f64 (-.f64 y z) (/.f64 x (-.f64 y t)))

simplify193.0ms

Algorithm

egg-herbie

Counts

663 → 663

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5139	20157

prune339.0ms

Filtered

356 candidates to 663 candidates (-86.2%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	663	0	663
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	663	4	667

Merged error: 0b

Counts

667 → 4

regimes80.0ms

Accuracy

0% (0.6b remaining)

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

bsearch0.0ms

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	46	16
1	46	16

end0.0ms

sample507.0ms

Algorithm

intervals

Results

281.0ms	8000×	body	80	valid
14.0ms	421×	body	80	invalid

Details

analyze498.0ms

sample18.0ms

simplify204.0ms

prune1.0ms

localize8.0ms

rewrite22.0ms

series100.0ms

simplify65.0ms

prune85.0ms

localize16.0ms

rewrite49.0ms

series159.0ms

simplify72.0ms

prune68.0ms

localize12.0ms

rewrite42.0ms

series775.0ms

simplify75.0ms

prune121.0ms

localize9.0ms

rewrite107.0ms

series229.0ms

simplify193.0ms

prune339.0ms

regimes80.0ms

bsearch0.0ms

simplify4.0ms

end0.0ms

sample507.0ms

Profiling