Details

sample20.0ms

Algorithm

intervals

Results

9.0ms

270×

body

valid

simplify59.0ms

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: 1.0b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- y z) (- y t))
5.6b	(/ 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:

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

series89.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(* (- y z) (- y t))
58.0ms	(/ 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

prune148.0ms

Filtered

69 candidates to 51 candidates (73.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	65	4	69
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	65	5	70

Merged error: 0b

Counts

70 → 5

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ x (- y z))
1.5b	(/ (/ x (- y z)) (- y t))

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

series89.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(/ x (- y z))
56.0ms	(/ (/ x (- y z)) (- y t))

simplify64.0ms

Algorithm

egg-herbie

Counts

191 → 191

Iterations

Useful iterations: 1 (15.0ms)

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

prune364.0ms

Filtered

191 candidates to 128 candidates (67.0%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	190	1	191
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	191	5	196

Merged error: 0b

Counts

196 → 5

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- y z) (- y t))
0.9b	(/ 1 (/ (* (- y z) (- y t)) x))
5.3b	(/ (* (- y z) (- y t)) x)

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 119

Calls

3 calls:

9.0ms	(* (- y z) (- y t))
9.0ms	(/ 1 (/ (* (- y z) (- y t)) x))
10.0ms	(/ (* (- y z) (- y t)) x)

series204.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(* (- y z) (- y t))
134.0ms	(/ 1 (/ (* (- y z) (- y t)) x))
44.0ms	(/ (* (- y z) (- y t)) x)

simplify73.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	530	854
1	2893	750
2	5001	713

prune196.0ms

Filtered

128 candidates to 77 candidates (60.2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	128	0	128
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	128	5	133

Merged error: 0b

Counts

133 → 5

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- y z))
0.2b	(/ (/ 1 (- y z)) (- y t))
5.3b	(* x (/ (/ 1 (- y z)) (- y t)))

rewrite78.0ms

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:

6.0ms	(/ 1 (- y z))
12.0ms	(/ (/ 1 (- y z)) (- y t))
33.0ms	(* x (/ (/ 1 (- y z)) (- y t)))

series154.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(/ 1 (- y z))
64.0ms	(/ (/ 1 (- y z)) (- y t))
56.0ms	(* x (/ (/ 1 (- y z)) (- y t)))

simplify106.0ms

Algorithm

egg-herbie

Counts

336 → 336

Iterations

Useful iterations: 2 (72.0ms)

Iter	Nodes	Cost
0	930	2748
1	4302	2506
2	5001	2270

prune475.0ms

Filtered

336 candidates to 167 candidates (49.7%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	336	0	336
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	336	5	341

Merged error: 0b

Counts

341 → 5

regimes164.0ms

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

sample519.0ms

Algorithm

intervals

Results

292.0ms

8440×

body

valid