Details

sample18.0ms

Algorithm

intervals

Results

8.0ms

276×

body

valid

simplify58.0ms

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: 7.1b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- y z) (- t z))
7.1b	(/ 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:

9.0ms	(* (- y z) (- t z))
8.0ms	(/ x (* (- y z) (- t z)))

series148.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(* (- y z) (- t z))
118.0ms	(/ x (* (- y z) (- t z)))

simplify38.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 2 (32.0ms)

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

prune134.0ms

Filtered

69 candidates to 51 candidates (73.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	63	6	69
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	63	7	70

Merged error: 0.0b

Counts

70 → 7

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ x (- t z))
0.0b	(/ 1 (- y z))
1.4b	(* (/ 1 (- y z)) (/ x (- t z)))

rewrite35.0ms

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/` `*-commutative` `inv-pow`

Counts

3 → 150

Calls

3 calls:

5.0ms	(/ x (- t z))
5.0ms	(/ 1 (- y z))
19.0ms	(* (/ 1 (- y z)) (/ x (- t z)))

series267.0ms

Counts

3 → 9

Calls

3 calls:

30.0ms	(/ x (- t z))
35.0ms	(/ 1 (- y z))
203.0ms	(* (/ 1 (- y z)) (/ x (- t z)))

simplify63.0ms

Algorithm

egg-herbie

Counts

159 → 159

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	518	909
1	2245	798
2	5001	758

prune241.0ms

Filtered

159 candidates to 97 candidates (61.0%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	156	3	159
Fresh	1	4	5
Picked	1	0	1
Done	0	1	1
Total	158	8	166

Merged error: 0.0b

Counts

166 → 8

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ x (- t z))
1.3b	(/ (/ x (- t z)) (- y z))

rewrite27.0ms

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))
11.0ms	(/ (/ x (- t z)) (- y z))

series151.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(/ x (- t z))
124.0ms	(/ (/ x (- t z)) (- y z))

simplify61.0ms

Algorithm

egg-herbie

Counts

191 → 191

Iterations

Useful iterations: 1 (14.0ms)

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

prune351.0ms

Filtered

191 candidates to 128 candidates (67.0%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	187	4	191
Fresh	4	2	6
Picked	1	0	1
Done	0	1	1
Total	192	7	199

Merged error: 0b

Counts

199 → 7

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- t z))
0.2b	(* x (/ 1 (- t z)))
1.3b	(/ (* x (/ 1 (- t z))) (- y z))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 118

Calls

3 calls:

5.0ms	(/ 1 (- t z))
10.0ms	(* x (/ 1 (- t z)))
11.0ms	(/ (* x (/ 1 (- t z))) (- y z))

series179.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(/ 1 (- t z))
27.0ms	(* x (/ 1 (- t z)))
119.0ms	(/ (* x (/ 1 (- t z))) (- y z))

simplify44.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	393	635
1	1806	528
2	5001	481

prune153.0ms

Filtered

127 candidates to 72 candidates (56.7%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	127	0	127
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	127	7	134

Merged error: 0b

Counts

134 → 7

regimes171.0ms

Accuracy

66.1% (0.7b remaining)

Error of 0.8b 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	20	14
1	20	14

end0.0ms

sample453.0ms

Algorithm

intervals

Results

245.0ms

8439×

body

valid