Details

sample17.0ms

Algorithm

intervals

Results

7.0ms

266×

body

valid

simplify58.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	5
1	40	5
2	80	5
3	174	5
4	369	5
5	503	5
6	769	5
7	1191	5
8	1451	5
9	1606	5
10	1606	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: 1.1b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- y z) (- y t))
5.8b	(/ x (* (- y z) (- y t)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 63

Calls

2 calls:

9.0ms	(* (- y z) (- y t))
12.0ms	(/ x (* (- y z) (- y t)))

series85.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(* (- y z) (- y t))
55.0ms	(/ x (* (- y z) (- y t)))

simplify40.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	304	403
1	1399	360
2	5002	360

prune180.0ms

Filtered

69 candidates to 51 candidates (73.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	64	5	69
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	64	6	70

Merged error: 0b

Counts

70 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
0.7b	(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- y t)))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

56×	`add-sqr-sqrt`
42×	`times-frac`
40×	`*-un-lft-identity`
36×	`associate-r`
26×	`cbrt-prod` `add-cube-cbrt`
25×	`add-exp-log`
18×	`add-cbrt-cube`
11×	`associate-l`
8×	`prod-exp` `cbrt-unprod`
7×	`cbrt-undiv` `div-exp` `distribute-lft-out--` `difference-of-squares`
6×	`pow1` `unswap-sqr`
4×	`associate-/r/` `add-log-exp`
3×	`pow1/3`
2×	`flip3--` `flip--` `div-inv`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative`

Counts

4 → 110

Calls

4 calls:

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

series615.0ms

Counts

4 → 12

Calls

4 calls:

181.0ms	(cbrt x)
174.0ms	(cbrt x)
176.0ms	(cbrt x)
84.0ms	(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- y t)))

simplify66.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	533	1044
1	2673	853
2	5001	794

prune345.0ms

Filtered

122 candidates to 92 candidates (75.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	120	2	122
Fresh	3	1	4
Picked	1	0	1
Done	0	1	1
Total	124	4	128

Merged error: 0b

Counts

128 → 4

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ x (- y t))
1.2b	(/ (/ x (- y t)) (- y z))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

210×	`times-frac`
176×	`add-sqr-sqrt` `*-un-lft-identity`
88×	`add-cube-cbrt`
44×	`distribute-lft-out--` `difference-of-squares`
24×	`associate-/l*`
16×	`associate-/r/`
10×	`associate-/r*`
9×	`add-exp-log` `add-cbrt-cube`
8×	`flip3--` `flip--` `div-inv`
4×	`cbrt-undiv` `div-exp`
2×	`pow1` `frac-2neg` `clear-num` `add-log-exp`
1×	`associate-/l/`

Counts

2 → 185

Calls

2 calls:

5.0ms	(/ x (- y t))
12.0ms	(/ (/ x (- y t)) (- y z))

series89.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(/ x (- y t))
57.0ms	(/ (/ x (- y t)) (- y z))

simplify62.0ms

Algorithm

egg-herbie

Counts

191 → 191

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	640	1735
1	2317	1691
2	5001	1691

prune420.0ms

Filtered

191 candidates to 129 candidates (67.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	190	1	191
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	191	4	195

Merged error: 0b

Counts

195 → 4

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- y t))
0.1b	(/ (/ 1 (- y t)) (- y z))
5.6b	(* x (/ (/ 1 (- y t)) (- y z)))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

395×	`times-frac`
329×	`add-sqr-sqrt`
318×	`*-un-lft-identity`
157×	`add-cube-cbrt`
111×	`associate-r`
80×	`distribute-lft-out--` `difference-of-squares`
31×	`add-exp-log`
28×	`associate-/r/`
24×	`associate-/l*`
19×	`add-cbrt-cube`
14×	`flip3--` `div-exp` `flip--` `div-inv`
10×	`associate-/r*`
7×	`cbrt-undiv`
6×	`pow1`
5×	`prod-exp`
4×	`unswap-sqr`
3×	`rec-exp` `1-exp` `associate-l` `cbrt-unprod` `add-log-exp`
2×	`frac-2neg` `clear-num`
1×	`pow-flip` `associate-r/` `pow-prod-down` `-commutative` `associate-/l/` `inv-pow`

Counts

3 → 327

Calls

3 calls:

5.0ms	(/ 1 (- y t))
15.0ms	(/ (/ 1 (- y t)) (- y z))
31.0ms	(* x (/ (/ 1 (- y t)) (- y z)))

series165.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(/ 1 (- y t))
67.0ms	(/ (/ 1 (- y t)) (- y z))
63.0ms	(* x (/ (/ 1 (- y t)) (- y z)))

simplify102.0ms

Algorithm

egg-herbie

Counts

336 → 336

Iterations

Useful iterations: 2 (74.0ms)

Iter	Nodes	Cost
0	934	2748
1	4306	2506
2	5002	2270

prune546.0ms

Filtered

336 candidates to 167 candidates (49.7%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	336	0	336
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	336	4	340

Merged error: 0b

Counts

340 → 4

regimes153.0ms

Accuracy

0% (1.1b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 1.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	5

end0.0ms

sample553.0ms

Algorithm

intervals

Results

299.0ms

8415×

body

valid