Details

analyze1.1s

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
9.4%	90.4%	0.2%	11
9.4%	90.4%	0.2%	12
10.1%	89.6%	0.2%	13
20.8%	78.9%	0.2%	14

sample31.0ms

Algorithm

intervals

Results

11.0ms	256×	body	80	valid
4.0ms	98×	body	80	invalid

simplify177.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (175.0ms)

Iter	Nodes	Cost
0	5040	13

prune3.0ms

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: 7.0b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.2b	(.f64 (.f64 z 9) t)
0.4b	(-.f64 (.f64 x y) (.f64 (*.f64 z 9) t))
6.6b	(/.f64 (-.f64 (.f64 x y) (.f64 (.f64 z 9) t)) (.f64 a 2))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`pow1_binary64`
6×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
5×	`add-log-exp_binary64`
4×	`cbrt-unprod_binary64` `prod-exp_binary64`
3×	`pow-prod-down_binary64` `associate-r_binary64` `associate-/l*_binary64` `times-frac_binary64`
2×	`associate-/l/_binary64` `flip3--_binary64` `cbrt-undiv_binary64` `div-exp_binary64` `flip--_binary64`
1×	`associate-/r_binary64` `sub-neg_binary64` `diff-log_binary64` `associate-l_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `-commutative_binary64`

Counts

3 → 53

Calls

3 calls:

5.0ms	(.f64 (.f64 z 9) t)
4.0ms	(-.f64 (.f64 x y) (.f64 (*.f64 z 9) t))
13.0ms	(/.f64 (-.f64 (.f64 x y) (.f64 (.f64 z 9) t)) (.f64 a 2))

series39.0ms

Counts

3 → 9

Calls

3 calls:

4.0ms	(.f64 (.f64 z 9) t)
14.0ms	(-.f64 (.f64 x y) (.f64 (*.f64 z 9) t))
21.0ms	(/.f64 (-.f64 (.f64 x y) (.f64 (.f64 z 9) t)) (.f64 a 2))

simplify37.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5031	695

prune77.0ms

Filtered

43 candidates to 62 candidates (-44.2%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	52	10	62
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	53	10	63

Merged error: 3.2b

Counts

63 → 10

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 z 9) t)
0.4b	(/.f64 1 (/.f64 a (/.f64 (-.f64 (.f64 x y) (.f64 (*.f64 z 9) t)) 2)))
0.4b	(-.f64 (.f64 x y) (.f64 (*.f64 z 9) t))
6.6b	(/.f64 a (/.f64 (-.f64 (.f64 x y) (.f64 (*.f64 z 9) t)) 2))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

471×	`times-frac_binary64`
232×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
57×	`associate-/r*_binary64`
35×	`add-exp-log_binary64`
23×	`add-cbrt-cube_binary64`
22×	`div-inv_binary64`
18×	`div-exp_binary64`
10×	`pow1_binary64`
9×	`cbrt-undiv_binary64`
6×	`add-log-exp_binary64` `associate-/r/_binary64` `associate-/l*_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `associate-r_binary64` `1-exp_binary64` `prod-exp_binary64` `rec-exp_binary64`
2×	`clear-num_binary64` `frac-2neg_binary64`
1×	`sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `associate-l_binary64` `inv-pow_binary64` `flip--_binary64` `pow-flip_binary64` `*-commutative_binary64`

Counts

4 → 303

Calls

4 calls:

6.0ms	(.f64 (.f64 z 9) t)
15.0ms	(/.f64 1 (/.f64 a (/.f64 (-.f64 (.f64 x y) (.f64 (*.f64 z 9) t)) 2)))
5.0ms	(-.f64 (.f64 x y) (.f64 (*.f64 z 9) t))
8.0ms	(/.f64 a (/.f64 (-.f64 (.f64 x y) (.f64 (*.f64 z 9) t)) 2))

series74.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(.f64 (.f64 z 9) t)
31.0ms	(/.f64 1 (/.f64 a (/.f64 (-.f64 (.f64 x y) (.f64 (*.f64 z 9) t)) 2)))
14.0ms	(-.f64 (.f64 x y) (.f64 (*.f64 z 9) t))
25.0ms	(/.f64 a (/.f64 (-.f64 (.f64 x y) (.f64 (*.f64 z 9) t)) 2))

simplify90.0ms

Algorithm

egg-herbie

Counts

315 → 315

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5005	7238

prune291.0ms

Filtered

212 candidates to 315 candidates (-48.6%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	311	4	315
Fresh	2	7	9
Picked	1	0	1
Done	0	0	0
Total	314	11	325

Merged error: 3.2b

Counts

325 → 11

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(.f64 1/2 (/.f64 (.f64 x y) a))
0.2b	(.f64 9/2 (/.f64 (.f64 z t) a))
4.1b	(/.f64 (*.f64 x y) a)
7.1b	(/.f64 (*.f64 z t) a)

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
18×	`add-sqr-sqrt_binary64`
14×	`-un-lft-identity_binary64` `associate-r*_binary64` `add-cube-cbrt_binary64`
12×	`times-frac_binary64`
10×	`cbrt-unprod_binary64` `prod-exp_binary64`
8×	`pow1_binary64` `cbrt-undiv_binary64` `div-exp_binary64`
6×	`associate-/r_binary64` `associate-l*_binary64`
4×	`add-log-exp_binary64` `div-inv_binary64`
2×	`pow-prod-down_binary64` `associate-r/_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `*-commutative_binary64`

Counts

4 → 96

Calls

4 calls:

7.0ms	(.f64 1/2 (/.f64 (.f64 x y) a))
7.0ms	(.f64 9/2 (/.f64 (.f64 z t) a))
5.0ms	(/.f64 (*.f64 x y) a)
5.0ms	(/.f64 (*.f64 z t) a)

series28.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(.f64 1/2 (/.f64 (.f64 x y) a))
9.0ms	(.f64 9/2 (/.f64 (.f64 z t) a))
6.0ms	(/.f64 (*.f64 x y) a)
6.0ms	(/.f64 (*.f64 z t) a)

simplify53.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5012	773

prune80.0ms

Filtered

72 candidates to 108 candidates (-50.0%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	105	3	108
Fresh	4	6	10
Picked	1	0	1
Done	0	0	0
Total	110	9	119

Merged error: 0.5b

Counts

119 → 9

localize9.0ms

Local error

Found 3 expressions with local error:

0.4b	(+.f64 (.f64 x y) (.f64 z (*.f64 t -9)))
0.5b	(.f64 z (.f64 t -9))
6.6b	(/.f64 (+.f64 (.f64 x y) (.f64 z (.f64 t -9))) (.f64 a 2))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`pow1_binary64`
6×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
5×	`add-log-exp_binary64`
4×	`cbrt-unprod_binary64` `prod-exp_binary64`
3×	`pow-prod-down_binary64` `associate-l_binary64` `associate-/l*_binary64` `times-frac_binary64`
2×	`flip3-+_binary64` `associate-/l/_binary64` `cbrt-undiv_binary64` `div-exp_binary64` `flip-+_binary64`
1×	`associate-/r_binary64` `associate-r_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `+-commutative_binary64` `sum-log_binary64` `-commutative_binary64`

Counts

3 → 52

Calls

3 calls:

5.0ms	(+.f64 (.f64 x y) (.f64 z (*.f64 t -9)))
6.0ms	(.f64 z (.f64 t -9))
9.0ms	(/.f64 (+.f64 (.f64 x y) (.f64 z (.f64 t -9))) (.f64 a 2))

series42.0ms

Counts

3 → 9

Calls

3 calls:

14.0ms	(+.f64 (.f64 x y) (.f64 z (*.f64 t -9)))
4.0ms	(.f64 z (.f64 t -9))
24.0ms	(/.f64 (+.f64 (.f64 x y) (.f64 z (.f64 t -9))) (.f64 a 2))

simplify50.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5242	675

prune33.0ms

Filtered

41 candidates to 61 candidates (-48.8%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	61	0	61
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	61	9	70

Merged error: 0.5b

Counts

70 → 9

regimes1.1s

Accuracy

34.8% (4.7b remaining)

Error of 5.2b against oracle of 0.5b and baseline of 7.7b

bsearch1.0ms

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	194	97
1	194	97

end0.0ms

sample868.0ms

Algorithm

intervals

Results

357.0ms	8000×	body	80	valid
134.0ms	3161×	body	80	invalid

Details

analyze1.1s

sample31.0ms

simplify177.0ms

prune3.0ms

localize9.0ms

rewrite24.0ms

series39.0ms

simplify37.0ms

prune77.0ms

localize11.0ms

rewrite52.0ms

series74.0ms

simplify90.0ms

prune291.0ms

localize11.0ms

rewrite28.0ms

series28.0ms

simplify53.0ms

prune80.0ms

localize9.0ms

rewrite21.0ms

series42.0ms

simplify50.0ms

prune33.0ms

regimes1.1s

bsearch1.0ms

simplify4.0ms

end0.0ms

sample868.0ms

Profiling