Details

sample21.0ms

Algorithm

intervals

Results

10.0ms

267×

body

valid

simplify116.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	14	4
1	30	4
2	69	4
3	182	4
4	401	4
5	659	4
6	1403	4
7	1837	4
8	2387	4
9	2759	4
10	2763	4
11	2763	4

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: 7.8b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- y z) (- t z))
7.8b	(/ x (* (- y z) (- t z)))

rewrite24.0ms

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

series172.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(* (- y z) (- t z))
131.0ms	(/ x (* (- y z) (- t z)))

simplify65.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	384	705
1	1834	535
2	5002	528

prune192.0ms

Filtered

91 candidates to 57 candidates (62.6%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	84	7	91
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	84	8	92

Merged error: 0.0b

Counts

92 → 8

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ x (- y z))
1.8b	(/ (/ x (- y z)) (- t z))

rewrite31.0ms

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:

6.0ms	(/ x (- y z))
13.0ms	(/ (/ x (- y z)) (- t z))

series171.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(/ x (- y z))
134.0ms	(/ (/ x (- y z)) (- t z))

simplify79.0ms

Algorithm

egg-herbie

Counts

195 → 195

Iterations

Useful iterations: 1 (19.0ms)

Iter	Nodes	Cost
0	644	1751
1	2322	1707
2	5001	1707

prune417.0ms

Filtered

195 candidates to 132 candidates (67.7%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	194	1	195
Fresh	2	4	6
Picked	0	1	1
Done	0	1	1
Total	196	7	203

Merged error: 0b

Counts

203 → 7

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- t z))
0.0b	(/ x (- y z))
1.9b	(* (/ x (- y z)) (/ 1 (- t z)))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

86×	`add-sqr-sqrt`
71×	`*-un-lft-identity`
67×	`times-frac`
41×	`add-cube-cbrt`
31×	`add-exp-log`
21×	`associate-r` `associate-l`
19×	`add-cbrt-cube`
14×	`distribute-lft-out--` `difference-of-squares`
11×	`div-exp`
10×	`associate-/r*`
8×	`prod-exp` `associate-/r/`
6×	`pow1` `cbrt-undiv` `associate-/l*` `unswap-sqr`
4×	`flip3--` `flip--` `cbrt-unprod` `div-inv`
3×	`expm1-log1p-u` `rec-exp` `1-exp` `log1p-expm1-u` `add-log-exp`
2×	`frac-2neg` `clear-num`
1×	`frac-times` `pow-flip` `associate-r/` `pow-prod-down` `associate-l/` `un-div-inv` `*-commutative` `inv-pow`

Counts

3 → 157

Calls

3 calls:

6.0ms	(/ 1 (- t z))
6.0ms	(/ x (- y z))
21.0ms	(* (/ x (- y z)) (/ 1 (- t z)))

series205.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(/ 1 (- t z))
37.0ms	(/ x (- y z))
132.0ms	(* (/ x (- y z)) (/ 1 (- t z)))

simplify62.0ms

Algorithm

egg-herbie

Counts

166 → 166

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	537	934
1	2214	819
2	5001	777

prune304.0ms

Filtered

166 candidates to 103 candidates (62.0%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	165	1	166
Fresh	2	2	4
Picked	1	0	1
Done	0	2	2
Total	168	5	173

Merged error: 0b

Counts

173 → 5

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ x (- t z))
2.2b	(/ (/ x (- t z)) (- y z))

rewrite36.0ms

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:

6.0ms	(/ x (- t z))
18.0ms	(/ (/ x (- t z)) (- y z))

series171.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(/ x (- t z))
134.0ms	(/ (/ x (- t z)) (- y z))

simplify79.0ms

Algorithm

egg-herbie

Counts

195 → 195

Iterations

Useful iterations: 1 (21.0ms)

Iter	Nodes	Cost
0	644	1751
1	2322	1707
2	5001	1707

prune412.0ms

Filtered

195 candidates to 133 candidates (68.2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	195	0	195
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	195	5	200

Merged error: 0b

Counts

200 → 5

regimes158.0ms

Accuracy

27.9% (1.6b remaining)

Error of 1.6b against oracle of 0.0b and baseline of 2.2b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	13
1	19	13

end0.0ms

sample443.0ms

Algorithm

intervals

Results

237.0ms

8403×

body

valid