Details

sample17.0ms

Algorithm

intervals

Results

8.0ms

266×

body

valid

simplify82.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	5
1	40	5
2	84	5
3	200	5
4	463	5
5	708	5
6	1261	5
7	1854	5
8	2446	5
9	2811	5
10	2813	5
11	2813	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

localize8.0ms

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

24×	`add-sqr-sqrt`
22×	`*-un-lft-identity`
18×	`add-cube-cbrt` `prod-diff`
12×	`flip3--` `flip--`
11×	`distribute-rgt-in` `distribute-lft-in`
9×	`add-exp-log` `add-cbrt-cube`
8×	`frac-times` `associate-/r/`
5×	`associate-r` `associate-l`
4×	`pow1` `associate-r/` `associate-l/`
3×	`times-frac` `associate-/l*`
2×	`cbrt-undiv` `expm1-log1p-u` `sub-neg` `div-exp` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `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 → 85

Calls

2 calls:

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

series266.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(* (- y z) (- y t))
240.0ms	(/ x (* (- y z) (- y t)))

simplify54.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	390	703
1	1853	534
2	5003	534

prune188.0ms

Filtered

91 candidates to 57 candidates (62.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	86	5	91
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	86	6	92

Merged error: 0b

Counts

92 → 6

localize13.0ms

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×	`expm1-log1p-u` `associate-/r/` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
2×	`flip3--` `flip--` `div-inv`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative`

Counts

4 → 118

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)
25.0ms	(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- y t)))

series597.0ms

Counts

4 → 12

Calls

4 calls:

179.0ms	(cbrt x)
171.0ms	(cbrt x)
172.0ms	(cbrt x)
75.0ms	(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- y t)))

simplify66.0ms

Algorithm

egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	540	1075
1	2689	884
2	5001	825

prune359.0ms

Filtered

130 candidates to 100 candidates (76.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	128	2	130
Fresh	3	1	4
Picked	1	0	1
Done	0	1	1
Total	132	4	136

Merged error: 0b

Counts

136 → 4

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite29.0ms

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` `expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `add-log-exp`
1×	`associate-/l/`

Counts

2 → 189

Calls

2 calls:

5.0ms	(/ x (- y t))
13.0ms	(/ (/ x (- y t)) (- y z))

series86.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(/ x (- y t))
59.0ms	(/ (/ x (- y t)) (- y z))

simplify62.0ms

Algorithm

egg-herbie

Counts

195 → 195

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	648	1751
1	2335	1707
2	5003	1707

prune420.0ms

Filtered

195 candidates to 133 candidates (68.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	194	1	195
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	195	4	199

Merged error: 0b

Counts

199 → 4

localize9.0ms

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)))

rewrite79.0ms

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×	`expm1-log1p-u` `rec-exp` `1-exp` `associate-l` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`frac-2neg` `clear-num`
1×	`pow-flip` `associate-r/` `pow-prod-down` `-commutative` `associate-/l/` `inv-pow`

Counts

3 → 333

Calls

3 calls:

9.0ms	(/ 1 (- y t))
13.0ms	(/ (/ 1 (- y t)) (- y z))
35.0ms	(* x (/ (/ 1 (- y t)) (- y z)))

series158.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(/ 1 (- y t))
60.0ms	(/ (/ 1 (- y t)) (- y z))
61.0ms	(* x (/ (/ 1 (- y t)) (- y z)))

simplify99.0ms

Algorithm

egg-herbie

Counts

342 → 342

Iterations

Useful iterations: 2 (71.0ms)

Iter	Nodes	Cost
0	940	2776
1	4322	2534
2	5002	2298

prune573.0ms

Filtered

342 candidates to 173 candidates (50.6%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	342	0	342
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	342	4	346

Merged error: 0b

Counts

346 → 4

regimes128.0ms

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

sample464.0ms

Algorithm

intervals

Results

254.0ms

8415×

body

valid