Details

sample23.0ms

Algorithm

intervals

Results

12.0ms

324×

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: 5.5b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (/ y z) (/ t (- 1.0 z)))
0.0b	(/ t (- 1.0 z))
5.3b	(* x (- (/ y z) (/ t (- 1.0 z))))

rewrite50.0ms

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:

19.0ms	(- (/ y z) (/ t (- 1.0 z)))
5.0ms	(/ t (- 1.0 z))
23.0ms	(* x (- (/ y z) (/ t (- 1.0 z))))

series118.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(- (/ y z) (/ t (- 1.0 z)))
34.0ms	(/ t (- 1.0 z))
49.0ms	(* x (- (/ y z) (/ t (- 1.0 z))))

simplify48.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (39.0ms)

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

prune234.0ms

Filtered

98 candidates to 71 candidates (72.4%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	87	11	98
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	87	12	99

Merged error: 0.6b

Counts

99 → 12

localize12.0ms

Local error

Found 4 expressions with local error:

5.3b	(* x (- (/ y z) (/ t (- 1.0 z))))
6.8b	(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
6.8b	(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
6.8b	(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
17×	`*-un-lft-identity`
12×	`associate-*r/`
10×	`associate-r`
9×	`cbrt-div`
8×	`times-frac`
6×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
4×	`flip3--` `frac-sub` `flip--` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
3×	`cbrt-prod` `pow1/3` `associate-l`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 68

Calls

4 calls:

26.0ms	(* x (- (/ y z) (/ t (- 1.0 z))))
19.0ms	(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
19.0ms	(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
23.0ms	(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))

series757.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(* x (- (/ y z) (/ t (- 1.0 z))))
237.0ms	(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
238.0ms	(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
234.0ms	(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))

simplify42.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	313	732
1	1134	647
2	5002	639

prune291.0ms

Filtered

80 candidates to 65 candidates (81.3%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	77	3	80
Fresh	1	9	10
Picked	1	0	1
Done	0	1	1
Total	79	13	92

Merged error: 0.6b

Counts

92 → 13

localize19.0ms

Local error

Found 4 expressions with local error:

6.8b	(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
8.2b	(cbrt (- (/ y z) (/ t (- 1.0 z))))
8.2b	(cbrt (- (/ y z) (/ t (- 1.0 z))))
8.2b	(cbrt (- (/ y z) (/ t (- 1.0 z))))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

43×	`add-sqr-sqrt`
40×	`*-un-lft-identity`
31×	`cbrt-prod`
24×	`times-frac`
12×	`cbrt-div` `distribute-lft-out--` `difference-of-squares`
7×	`add-cube-cbrt`
4×	`pow1` `add-exp-log` `flip3--` `pow1/3` `frac-sub` `add-cbrt-cube` `flip--` `add-log-exp`
3×	`associate-*r/`

Counts

4 → 75

Calls

4 calls:

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

series652.0ms

Counts

4 → 12

Calls

4 calls:

235.0ms	(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
137.0ms	(cbrt (- (/ y z) (/ t (- 1.0 z))))
137.0ms	(cbrt (- (/ y z) (/ t (- 1.0 z))))
142.0ms	(cbrt (- (/ y z) (/ t (- 1.0 z))))

simplify64.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 3 (50.0ms)

Iter	Nodes	Cost
0	286	948
1	664	894
2	1883	886
3	5001	863

prune399.0ms

Filtered

87 candidates to 71 candidates (81.6%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	86	1	87
Fresh	1	10	11
Picked	1	0	1
Done	0	1	1
Total	88	12	100

Merged error: 0.6b

Counts

100 → 12

localize12.0ms

Local error

Found 4 expressions with local error:

0.9b	(* x (* (cbrt (- (/ y z) (/ t (- 1.0 z)))) (cbrt (- (/ y z) (/ t (- 1.0 z))))))
8.2b	(cbrt (- (/ y z) (/ t (- 1.0 z))))
8.2b	(cbrt (- (/ y z) (/ t (- 1.0 z))))
8.2b	(cbrt (- (/ y z) (/ t (- 1.0 z))))

rewrite110.0ms

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:

44.0ms	(* x (* (cbrt (- (/ y z) (/ t (- 1.0 z)))) (cbrt (- (/ y z) (/ t (- 1.0 z))))))
18.0ms	(cbrt (- (/ y z) (/ t (- 1.0 z))))
21.0ms	(cbrt (- (/ y z) (/ t (- 1.0 z))))
19.0ms	(cbrt (- (/ y z) (/ t (- 1.0 z))))

series553.0ms

Counts

4 → 12

Calls

4 calls:

136.0ms	(* x (* (cbrt (- (/ y z) (/ t (- 1.0 z)))) (cbrt (- (/ y z) (/ t (- 1.0 z))))))
138.0ms	(cbrt (- (/ y z) (/ t (- 1.0 z))))
141.0ms	(cbrt (- (/ y z) (/ t (- 1.0 z))))
137.0ms	(cbrt (- (/ y z) (/ t (- 1.0 z))))

simplify80.0ms

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

prune364.0ms

Filtered

109 candidates to 84 candidates (77.1%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	108	1	109
Fresh	0	10	10
Picked	0	1	1
Done	0	1	1
Total	108	13	121

Merged error: 0.6b

Counts

121 → 13

regimes406.0ms

Accuracy

90.9% (0.3b remaining)

Error of 1.4b against oracle of 1.1b and baseline of 4.8b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	21
1	30	21

end0.0ms

sample549.0ms

Algorithm

intervals

Results

303.0ms

10206×

body

valid