Details

sample18.0ms

Algorithm

intervals

Results

8.0ms

324×

body

valid

simplify19.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	3
1	19	3
2	28	3
3	40	3
4	50	3
5	73	3
6	102	3
7	118	3
8	145	3
9	174	3
10	190	3
11	190	3

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: 0.0b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (/ (- y x) z))
0.0b	(/ (- y x) z)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
20×	`add-sqr-sqrt`
15×	`times-frac`
12×	`add-cube-cbrt`
5×	`associate-/l*`
4×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
3×	`associate-/r*`
2×	`pow1` `div-sub` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `associate-+r-` `flip3--` `frac-2neg` `flip3-+` `div-exp` `clear-num` `sum-log` `flip--` `flip-+` `div-inv` `distribute-lft-out`

Counts

2 → 51

Calls

2 calls:

8.0ms	(+ x (/ (- y x) z))
6.0ms	(/ (- y x) z)

series51.0ms

Counts

2 → 6

Calls

2 calls:

21.0ms	(+ x (/ (- y x) z))
30.0ms	(/ (- y x) z)

simplify63.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	221	273
1	676	261
2	2890	261
3	5002	261

prune89.0ms

Filtered

57 candidates to 40 candidates (70.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	54	3	57
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	54	4	58

Merged error: 0b

Counts

58 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (/ (- y x) z)) (cbrt (/ (- y x) z)))
3.6b	(cbrt (/ (- y x) z))
3.6b	(cbrt (/ (- y x) z))
3.6b	(cbrt (/ (- y x) z))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

157×	`cbrt-prod`
141×	`add-sqr-sqrt`
135×	`*-un-lft-identity`
123×	`times-frac`
75×	`add-cube-cbrt`
28×	`swap-sqr`
27×	`distribute-lft-out--`
22×	`associate-r` `associate-l`
21×	`difference-of-squares`
11×	`pow1`
9×	`pow1/3` `unswap-sqr`
7×	`cbrt-div` `div-inv`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 186

Calls

4 calls:

19.0ms	(* (cbrt (/ (- y x) z)) (cbrt (/ (- y x) z)))
4.0ms	(cbrt (/ (- y x) z))
4.0ms	(cbrt (/ (- y x) z))
4.0ms	(cbrt (/ (- y x) z))

series588.0ms

Counts

4 → 12

Calls

4 calls:

167.0ms	(* (cbrt (/ (- y x) z)) (cbrt (/ (- y x) z)))
146.0ms	(cbrt (/ (- y x) z))
132.0ms	(cbrt (/ (- y x) z))
143.0ms	(cbrt (/ (- y x) z))

simplify64.0ms

Algorithm

egg-herbie

Counts

198 → 198

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	434	2002
1	1407	1949
2	5001	1850

prune443.0ms

Filtered

198 candidates to 144 candidates (72.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	198	0	198
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	198	4	202

Merged error: 0b

Counts

202 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (cbrt (pow (/ (- y x) z) 3)))
0.0b	(/ (- y x) z)
0.3b	(pow (/ (- y x) z) 3)
36.8b	(cbrt (pow (/ (- y x) z) 3))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

86×	`*-un-lft-identity`
84×	`add-sqr-sqrt`
75×	`times-frac`
52×	`add-cube-cbrt`
44×	`cbrt-prod`
38×	`unpow-prod-down` `cube-prod`
16×	`distribute-lft-out--` `difference-of-squares`
9×	`add-exp-log` `add-cbrt-cube`
6×	`add-log-exp`
5×	`pow1` `div-inv` `associate-/l*`
3×	`pow-unpow` `associate-/r*`
2×	`cbrt-undiv` `cube-div` `cube-mult` `unpow3` `div-exp` `pow-exp` `associate-/l/` `rem-cube-cbrt` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `cbrt-div` `flip3--` `pow-pow` `frac-2neg` `flip3-+` `pow1/3` `div-sub` `clear-num` `sum-log` `flip--` `rem-cbrt-cube` `flip-+` `distribute-lft-out`

Counts

4 → 162

Calls

4 calls:

16.0ms	(+ x (cbrt (pow (/ (- y x) z) 3)))
6.0ms	(/ (- y x) z)
7.0ms	(pow (/ (- y x) z) 3)
8.0ms	(cbrt (pow (/ (- y x) z) 3))

series193.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(+ x (cbrt (pow (/ (- y x) z) 3)))
28.0ms	(/ (- y x) z)
41.0ms	(pow (/ (- y x) z) 3)
51.0ms	(cbrt (pow (/ (- y x) z) 3))

simplify77.0ms

Algorithm

egg-herbie

Counts

174 → 174

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	562	1084
1	2667	982
2	5002	966

prune223.0ms

Filtered

174 candidates to 89 candidates (51.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	174	0	174
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	174	4	178

Merged error: 0b

Counts

178 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- y x) z)
0.0b	(sqrt (+ x (/ (- y x) z)))
0.0b	(sqrt (+ x (/ (- y x) z)))
0.2b	(* (sqrt (+ x (/ (- y x) z))) (sqrt (+ x (/ (- y x) z))))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

50×	`*-un-lft-identity`
46×	`add-sqr-sqrt`
34×	`sqrt-prod`
24×	`add-cube-cbrt`
21×	`pow1`
16×	`sqrt-div`
15×	`times-frac`
11×	`swap-sqr`
10×	`sqrt-pow1` `pow1/2`
8×	`add-exp-log` `flip3-+` `add-cbrt-cube` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
5×	`pow-prod-up` `associate-/l*`
4×	`frac-times` `distribute-lft-out--` `add-log-exp` `difference-of-squares` `unswap-sqr`
3×	`pow-prod-down` `associate-/r*` `pow-sqr`
2×	`rem-sqrt-square` `associate-r/` `associate-l/` `associate-/l/`
1×	`cbrt-undiv` `pow2` `flip3--` `frac-2neg` `pow-plus` `sqrt-unprod` `div-sub` `div-exp` `prod-exp` `clear-num` `rem-square-sqrt` `*-commutative` `flip--` `cbrt-unprod` `div-inv`

Counts

4 → 132

Calls

4 calls:

6.0ms	(/ (- y x) z)
8.0ms	(sqrt (+ x (/ (- y x) z)))
11.0ms	(sqrt (+ x (/ (- y x) z)))
21.0ms	(* (sqrt (+ x (/ (- y x) z))) (sqrt (+ x (/ (- y x) z))))

series316.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(/ (- y x) z)
130.0ms	(sqrt (+ x (/ (- y x) z)))
137.0ms	(sqrt (+ x (/ (- y x) z)))
22.0ms	(* (sqrt (+ x (/ (- y x) z))) (sqrt (+ x (/ (- y x) z))))

simplify56.0ms

Algorithm

egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	345	934
1	1350	843
2	5001	824

prune218.0ms

Filtered

144 candidates to 82 candidates (56.9%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	144	0	144
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	144	4	148

Merged error: 0b

Counts

148 → 4

regimes75.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	3
1	7	3

end0.0ms

sample462.0ms

Algorithm

intervals

Results

251.0ms

10217×

body

valid

Details

sample18.0ms

simplify19.0ms

prune2.0ms

localize6.0ms

rewrite15.0ms

series51.0ms

simplify63.0ms

prune89.0ms

localize13.0ms

rewrite43.0ms

series588.0ms

simplify64.0ms

prune443.0ms

localize9.0ms

rewrite43.0ms

series193.0ms

simplify77.0ms

prune223.0ms

localize8.0ms

rewrite51.0ms

series316.0ms

simplify56.0ms

prune218.0ms

regimes75.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample462.0ms

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