Details

sample24.0ms

Algorithm

intervals

Results

11.0ms

327×

body

valid

simplify18.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	15	5
1	25	5
2	39	5
3	58	5
4	73	5
5	87	5
6	102	5
7	108	5
8	110	5
9	110	5

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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: 3.9b

Counts

2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ t (- 1.0 z))
0.0b	(- (/ y z) (/ t (- 1.0 z)))
3.8b	(* x (- (/ y z) (/ t (- 1.0 z))))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-sqr-sqrt`
45×	`*-un-lft-identity`
31×	`times-frac`
15×	`add-cube-cbrt`
12×	`distribute-lft-out--` `difference-of-squares`
10×	`associate-r`
7×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `associate-/r*` `add-log-exp`
3×	`sub-neg` `flip3--` `associate-r/` `associate-l` `flip--` `associate-/l`
2×	`distribute-rgt-in` `distribute-lft-in` `associate-/r/` `frac-sub`
1×	`cbrt-undiv` `frac-2neg` `diff-log` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

3 → 89

Calls

3 calls:

6.0ms	(/ t (- 1.0 z))
19.0ms	(- (/ y z) (/ t (- 1.0 z)))
27.0ms	(* x (- (/ y z) (/ t (- 1.0 z))))

series120.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(/ t (- 1.0 z))
33.0ms	(- (/ y z) (/ t (- 1.0 z)))
51.0ms	(* x (- (/ y z) (/ t (- 1.0 z))))

simplify50.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	387	632
1	1452	595
2	5001	593

prune214.0ms

Filtered

98 candidates to 71 candidates (72.4%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	86	12	98
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	86	13	99

Merged error: 0.8b

Counts

99 → 13

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (- 1.0 z))
0.0b	(- (/ y z) (* t (/ 1 (- 1.0 z))))
0.1b	(* t (/ 1 (- 1.0 z)))
3.8b	(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-sqr-sqrt`
41×	`*-un-lft-identity`
32×	`times-frac`
26×	`add-cube-cbrt`
24×	`associate-r`
19×	`add-exp-log`
13×	`add-cbrt-cube`
9×	`pow1`
7×	`associate-*r/` `distribute-lft-out--` `difference-of-squares`
6×	`associate-l` `add-log-exp`
5×	`prod-exp` `associate-/r*`
4×	`flip3--` `div-exp` `associate-/r/` `frac-sub` `flip--` `unswap-sqr`
3×	`sub-neg` `un-div-inv` `cbrt-unprod` `associate-/l*`
2×	`cbrt-undiv` `distribute-rgt-in` `rec-exp` `distribute-lft-in` `1-exp` `pow-prod-down` `*-commutative` `div-inv`
1×	`pow-flip` `frac-2neg` `diff-log` `clear-num` `inv-pow`

Counts

4 → 125

Calls

4 calls:

6.0ms	(/ 1 (- 1.0 z))
6.0ms	(- (/ y z) (* t (/ 1 (- 1.0 z))))
13.0ms	(* t (/ 1 (- 1.0 z)))
8.0ms	(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))

series140.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(/ 1 (- 1.0 z))
33.0ms	(- (/ y z) (* t (/ 1 (- 1.0 z))))
38.0ms	(* t (/ 1 (- 1.0 z)))
46.0ms	(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))

simplify68.0ms

Algorithm

egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	495	827
1	2159	731
2	5001	689

prune218.0ms

Filtered

137 candidates to 83 candidates (60.6%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	136	1	137
Fresh	3	8	11
Picked	0	1	1
Done	0	1	1
Total	139	11	150

Merged error: 0.0b

Counts

150 → 11

localize12.0ms

Local error

Found 4 expressions with local error:

0.7b	(* x (* (cbrt (- (/ y z) (/ t (- 1.0 z)))) (cbrt (- (/ y z) (/ t (- 1.0 z))))))
5.8b	(cbrt (- (/ y z) (/ t (- 1.0 z))))
5.8b	(cbrt (- (/ y z) (/ t (- 1.0 z))))
5.8b	(cbrt (- (/ y z) (/ t (- 1.0 z))))

rewrite113.0ms

Algorithm

rewrite-expression-head

Rules

45×	`add-sqr-sqrt`
41×	`*-un-lft-identity`
33×	`cbrt-div`
30×	`cbrt-prod`
24×	`times-frac`
18×	`associate-*r/`
12×	`distribute-lft-out--` `difference-of-squares`
11×	`flip3--` `frac-sub` `flip--`
9×	`pow1` `add-exp-log` `frac-times`
8×	`add-cube-cbrt`
7×	`add-cbrt-cube`
4×	`add-log-exp`
3×	`pow1/3` `associate-l` `pow-prod-down` `associate-*l/` `prod-exp` `cbrt-unprod`
1×	`associate-r` `*-commutative` `unswap-sqr`

Counts

4 → 97

Calls

4 calls:

49.0ms	(* x (* (cbrt (- (/ y z) (/ t (- 1.0 z)))) (cbrt (- (/ y z) (/ t (- 1.0 z))))))
19.0ms	(cbrt (- (/ y z) (/ t (- 1.0 z))))
19.0ms	(cbrt (- (/ y z) (/ t (- 1.0 z))))
22.0ms	(cbrt (- (/ y z) (/ t (- 1.0 z))))

series540.0ms

Counts

4 → 12

Calls

4 calls:

134.0ms	(* x (* (cbrt (- (/ y z) (/ t (- 1.0 z)))) (cbrt (- (/ y z) (/ t (- 1.0 z))))))
134.0ms	(cbrt (- (/ y z) (/ t (- 1.0 z))))
136.0ms	(cbrt (- (/ y z) (/ t (- 1.0 z))))
136.0ms	(cbrt (- (/ y z) (/ t (- 1.0 z))))

simplify76.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 3 (62.0ms)

Iter	Nodes	Cost
0	419	1341
1	969	1257
2	2506	1243
3	5002	1222

prune349.0ms

Filtered

109 candidates to 84 candidates (77.1%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	108	1	109
Fresh	1	7	8
Picked	0	1	1
Done	0	2	2
Total	109	11	120

Merged error: 0.0b

Counts

120 → 11

localize21.0ms

Local error

Found 4 expressions with local error:

5.8b	(cbrt (+ (/ y z) (/ t (- 1.0 z))))
5.8b	(cbrt (- (/ y z) (/ t (- 1.0 z))))
5.8b	(cbrt (- (/ y z) (/ t (- 1.0 z))))
21.0b	(cbrt (- (* (/ y z) (/ y z)) (* (/ t (- 1.0 z)) (/ t (- 1.0 z)))))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

41×	`*-un-lft-identity`
32×	`add-sqr-sqrt`
30×	`cbrt-prod`
20×	`cbrt-div` `times-frac`
11×	`frac-sub`
9×	`distribute-lft-out--` `difference-of-squares`
8×	`add-cube-cbrt`
6×	`frac-times` `associate-r/` `associate-l/`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`
3×	`flip3--` `flip--` `distribute-lft-out`
1×	`flip3-+` `frac-add` `flip-+`

Counts

4 → 82

Calls

4 calls:

18.0ms	(cbrt (+ (/ y z) (/ t (- 1.0 z))))
19.0ms	(cbrt (- (/ y z) (/ t (- 1.0 z))))
21.0ms	(cbrt (- (/ y z) (/ t (- 1.0 z))))
7.0ms	(cbrt (- (* (/ y z) (/ y z)) (* (/ t (- 1.0 z)) (/ t (- 1.0 z)))))

series579.0ms

Counts

4 → 12

Calls

4 calls:

135.0ms	(cbrt (+ (/ y z) (/ t (- 1.0 z))))
136.0ms	(cbrt (- (/ y z) (/ t (- 1.0 z))))
139.0ms	(cbrt (- (/ y z) (/ t (- 1.0 z))))
170.0ms	(cbrt (- (* (/ y z) (/ y z)) (* (/ t (- 1.0 z)) (/ t (- 1.0 z)))))

simplify49.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	510	1145
1	1321	1085
2	5001	1071

prune362.0ms

Filtered

94 candidates to 76 candidates (80.9%)

Pruning

11 alts after pruning (7 fresh and 4 done)

	Pruned	Kept	Total
New	94	0	94
Fresh	0	7	7
Picked	0	1	1
Done	0	3	3
Total	94	11	105

Merged error: 0.0b

Counts

105 → 11

regimes339.0ms

Accuracy

92.7% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 4.5b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	53
1	57	53

end0.0ms

sample620.0ms

Algorithm

intervals

Results

360.0ms

10200×

body

valid