Details

sample24.0ms

Algorithm

intervals

Results

12.0ms

319×

body

valid

simplify17.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (/ y z) (/ t (- 1.0 z)))
3.7b	(* x (- (/ y z) (/ t (- 1.0 z))))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 52

Calls

2 calls:

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

series81.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(- (/ y z) (/ t (- 1.0 z)))
46.0ms	(* x (- (/ y z) (/ t (- 1.0 z))))

simplify34.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	258	422
1	977	391
2	5002	389

prune133.0ms

Filtered

58 candidates to 41 candidates (70.7%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	46	12	58
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	46	13	59

Merged error: 0.8b

Counts

59 → 13

localize12.0ms

Local error

Found 4 expressions with local error:

3.7b	(* x (* (* (cbrt (- (/ y z) (/ t (- 1.0 z)))) (cbrt (- (/ y z) (/ t (- 1.0 z))))) (cbrt (- (/ y z) (/ t (- 1.0 z))))))
5.6b	(cbrt (- (/ y z) (/ t (- 1.0 z))))
5.6b	(cbrt (- (/ y z) (/ t (- 1.0 z))))
5.6b	(cbrt (- (/ y z) (/ t (- 1.0 z))))

rewrite146.0ms

Algorithm

rewrite-expression-head

Rules

153×	`cbrt-div`
81×	`frac-times`
78×	`associate-*r/`
51×	`flip3--` `frac-sub` `flip--`
44×	`add-sqr-sqrt`
41×	`*-un-lft-identity`
30×	`cbrt-prod`
27×	`associate-*l/`
24×	`times-frac`
13×	`pow1` `add-exp-log`
12×	`distribute-lft-out--` `difference-of-squares`
9×	`add-cbrt-cube`
8×	`add-cube-cbrt`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`add-log-exp`
3×	`pow1/3` `associate-l`
1×	`associate-r` `*-commutative`

Counts

4 → 147

Calls

4 calls:

77.0ms	(* x (* (* (cbrt (- (/ y z) (/ t (- 1.0 z)))) (cbrt (- (/ y z) (/ t (- 1.0 z))))) (cbrt (- (/ y z) (/ t (- 1.0 z))))))
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))))

series460.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(* x (* (* (cbrt (- (/ y z) (/ t (- 1.0 z)))) (cbrt (- (/ y z) (/ t (- 1.0 z))))) (cbrt (- (/ y z) (/ t (- 1.0 z))))))
144.0ms	(cbrt (- (/ y z) (/ t (- 1.0 z))))
132.0ms	(cbrt (- (/ y z) (/ t (- 1.0 z))))
137.0ms	(cbrt (- (/ y z) (/ t (- 1.0 z))))

simplify117.0ms

Algorithm

egg-herbie

Counts

159 → 159

Iterations

Useful iterations: 3 (88.0ms)

Iter	Nodes	Cost
0	680	2748
1	1460	2590
2	4243	2481
3	5003	2459

prune487.0ms

Filtered

159 candidates to 110 candidates (69.2%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	156	3	159
Fresh	2	9	11
Picked	1	0	1
Done	0	1	1
Total	159	13	172

Merged error: 0.0b

Counts

172 → 13

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- (/ y z) (/ t (- 1.0 z)))) (cbrt (- (/ y z) (/ t (- 1.0 z)))))
5.6b	(cbrt (- (/ y z) (/ t (- 1.0 z))))
5.6b	(cbrt (- (/ y z) (/ t (- 1.0 z))))
5.6b	(cbrt (- (/ y z) (/ t (- 1.0 z))))

rewrite115.0ms

Algorithm

rewrite-expression-head

Rules

116×	`*-un-lft-identity`
107×	`add-sqr-sqrt`
82×	`cbrt-prod`
64×	`times-frac`
36×	`distribute-lft-out--`
33×	`cbrt-div`
28×	`difference-of-squares`
17×	`swap-sqr`
15×	`add-cube-cbrt`
13×	`associate-r` `associate-l`
11×	`pow1` `flip3--` `frac-sub` `flip--`
9×	`frac-times` `pow1/3`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
3×	`associate-r/` `associate-l/`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 143

Calls

4 calls:

47.0ms	(* (cbrt (- (/ y z) (/ t (- 1.0 z)))) (cbrt (- (/ y z) (/ t (- 1.0 z)))))
19.0ms	(cbrt (- (/ y z) (/ t (- 1.0 z))))
18.0ms	(cbrt (- (/ y z) (/ t (- 1.0 z))))
23.0ms	(cbrt (- (/ y z) (/ t (- 1.0 z))))

series574.0ms

Counts

4 → 12

Calls

4 calls:

154.0ms	(* (cbrt (- (/ y z) (/ t (- 1.0 z)))) (cbrt (- (/ y z) (/ t (- 1.0 z)))))
140.0ms	(cbrt (- (/ y z) (/ t (- 1.0 z))))
136.0ms	(cbrt (- (/ y z) (/ t (- 1.0 z))))
143.0ms	(cbrt (- (/ y z) (/ t (- 1.0 z))))

simplify101.0ms

Algorithm

egg-herbie

Counts

155 → 155

Iterations

Useful iterations: 3 (75.0ms)

Iter	Nodes	Cost
0	376	2101
1	1090	2020
2	3843	1867
3	5001	1851

prune431.0ms

Filtered

155 candidates to 107 candidates (69.0%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	154	1	155
Fresh	0	11	11
Picked	0	1	1
Done	0	1	1
Total	154	14	168

Merged error: 0.0b

Counts

168 → 14

localize13.0ms

Local error

Found 4 expressions with local error:

3.7b	(* x (- (/ y z) (/ t (- 1.0 z))))
5.4b	(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
5.4b	(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
5.4b	(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))

rewrite91.0ms

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))))
20.0ms	(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
20.0ms	(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
23.0ms	(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))

series744.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(* x (- (/ y z) (/ t (- 1.0 z))))
234.0ms	(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
232.0ms	(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
228.0ms	(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))

simplify39.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	313	732
1	1133	671
2	5001	639

prune235.0ms

Filtered

80 candidates to 65 candidates (81.3%)

Pruning

14 alts after pruning (11 fresh and 3 done)

	Pruned	Kept	Total
New	80	0	80
Fresh	0	11	11
Picked	0	1	1
Done	0	2	2
Total	80	14	94

Merged error: 0.0b

Counts

94 → 14

regimes429.0ms

Accuracy

96.2% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 4.9b

bsearch2.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	52
1	48	52

end0.0ms

sample660.0ms

Algorithm

intervals

Results

401.0ms

10089×

body

valid

Details

sample24.0ms

simplify17.0ms

prune2.0ms

localize9.0ms

rewrite48.0ms

series81.0ms

simplify34.0ms

prune133.0ms

localize12.0ms

rewrite146.0ms

series460.0ms

simplify117.0ms

prune487.0ms

localize13.0ms

rewrite115.0ms

series574.0ms

simplify101.0ms

prune431.0ms

localize13.0ms

rewrite91.0ms

series744.0ms

simplify39.0ms

prune235.0ms

regimes429.0ms

bsearch2.0ms

simplify2.0ms

end0.0ms

sample660.0ms

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