Details

sample16.0ms

Algorithm

intervals

Results

7.0ms

267×

body

valid

simplify55.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	4
1	30	4
2	65	4
3	156	4
4	302	4
5	470	4
6	865	4
7	1243	4
8	1545	4
9	1705	4
10	1705	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)))

rewrite19.0ms

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:

8.0ms	(* (- y z) (- t z))
8.0ms	(/ x (* (- y z) (- t z)))

series167.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(* (- y z) (- t z))
121.0ms	(/ x (* (- y z) (- t z)))

simplify58.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	300	403
1	1371	359
2	5001	355

prune567.0ms

Filtered

69 candidates to 51 candidates (73.9%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	62	7	69
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	62	8	70

Merged error: 0.0b

Counts

70 → 8

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite28.0ms

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)) (- t z))

series153.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(/ x (- y z))
121.0ms	(/ (/ x (- y z)) (- t z))

simplify63.0ms

Algorithm

egg-herbie

Counts

191 → 191

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	636	1735
1	2304	1691
2	5001	1691

prune350.0ms

Filtered

191 candidates to 128 candidates (67.0%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	190	1	191
Fresh	2	4	6
Picked	0	1	1
Done	0	1	1
Total	192	7	199

Merged error: 0b

Counts

199 → 7

localize8.0ms

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)))

rewrite41.0ms

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×	`rec-exp` `1-exp` `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 → 151

Calls

3 calls:

5.0ms	(/ 1 (- t z))
5.0ms	(/ x (- y z))
23.0ms	(* (/ x (- y z)) (/ 1 (- t z)))

series184.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(/ 1 (- t z))
31.0ms	(/ x (- y z))
120.0ms	(* (/ x (- y z)) (/ 1 (- t z)))

simplify55.0ms

Algorithm

egg-herbie

Counts

160 → 160

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	527	911
1	2194	796
2	5001	746

prune232.0ms

Filtered

160 candidates to 97 candidates (60.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	159	1	160
Fresh	2	2	4
Picked	1	0	1
Done	0	2	2
Total	162	5	167

Merged error: 0b

Counts

167 → 5

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite28.0ms

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

series148.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(/ x (- t z))
121.0ms	(/ (/ x (- t z)) (- y z))

simplify67.0ms

Algorithm

egg-herbie

Counts

191 → 191

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	636	1735
1	2304	1691
2	5001	1691

prune321.0ms

Filtered

191 candidates to 129 candidates (67.5%)

Pruning

5 alts after pruning (2 fresh and 3 done)

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

Merged error: 0b

Counts

196 → 5

regimes135.0ms

Accuracy

27.9% (1.6b remaining)

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

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	13
1	19	13

end0.0ms

sample410.0ms

Algorithm

intervals

Results

209.0ms

8403×

body

valid