Details

sample17.0ms

Algorithm

intervals

Results

7.0ms

264×

body

valid

simplify57.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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: 7.3b

Counts

2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- y z) (- t z))
7.3b	(/ 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))
9.0ms	(/ x (* (- y z) (- t z)))

series146.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(* (- y z) (- t z))
114.0ms	(/ x (* (- y z) (- t z)))

simplify39.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 2 (33.0ms)

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

prune135.0ms

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

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite30.0ms

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))

series140.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(/ x (- y z))
114.0ms	(/ (/ x (- y z)) (- t z))

simplify68.0ms

Algorithm

egg-herbie

Counts

191 → 191

Iterations

Useful iterations: 1 (15.0ms)

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

prune333.0ms

Filtered

191 candidates to 128 candidates (67.0%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	189	2	191
Fresh	2	4	6
Picked	0	1	1
Done	0	1	1
Total	191	8	199

Merged error: 0b

Counts

199 → 8

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ x (- y z))
0.6b	(/ 1 (/ (- t z) (/ x (- y z))))
1.8b	(/ (- t z) (/ x (- y z)))

rewrite104.0ms

Algorithm

rewrite-expression-head

Rules

1260×	`times-frac`
844×	`add-sqr-sqrt` `*-un-lft-identity`
468×	`add-cube-cbrt`
188×	`distribute-lft-out--` `difference-of-squares`
136×	`associate-/r*`
60×	`associate-/r/`
33×	`div-inv`
31×	`add-exp-log`
28×	`flip3--` `flip--`
19×	`div-exp` `add-cbrt-cube`
11×	`associate-/l*`
10×	`cbrt-undiv`
4×	`pow1`
3×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `add-log-exp`
2×	`associate-/l/`
1×	`pow-flip` `div-sub` `inv-pow`

Counts

3 → 654

Calls

3 calls:

5.0ms	(/ x (- y z))
29.0ms	(/ 1 (/ (- t z) (/ x (- y z))))
12.0ms	(/ (- t z) (/ x (- y z)))

series284.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(/ x (- y z))
205.0ms	(/ 1 (/ (- t z) (/ x (- y z))))
53.0ms	(/ (- t z) (/ x (- y z)))

simplify134.0ms

Algorithm

egg-herbie

Counts

663 → 663

Iterations

Useful iterations: 1 (39.0ms)

Iter	Nodes	Cost
0	1862	7905
1	5001	7526

prune1.0s

Filtered

663 candidates to 359 candidates (54.1%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	661	2	663
Fresh	2	3	5
Picked	0	1	1
Done	0	2	2
Total	663	8	671

Merged error: 0b

Counts

671 → 8

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- y z))
0.0b	(/ x (- t z))
2.9b	(* (/ 1 (- y z)) (/ x (- t z)))

rewrite39.0ms

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

series261.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(/ 1 (- y z))
27.0ms	(/ x (- t z))
200.0ms	(* (/ 1 (- y z)) (/ x (- t z)))

simplify56.0ms

Algorithm

egg-herbie

Counts

159 → 159

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	518	909
1	2264	798
2	5002	758

prune224.0ms

Filtered

159 candidates to 97 candidates (61.0%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	159	0	159
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	159	8	167

Merged error: 0b

Counts

167 → 8

regimes170.0ms

Accuracy

14.3% (1.8b remaining)

Error of 1.8b against oracle of 0.0b and baseline of 2.1b

bsearch61.0ms

Steps

Iters	Range		Point
11	2.6508783292860665e-208	8.280185951283791e-182	4.212019163096675e-193
5	-3.744556309116812e-103	-1.0437655140238367e-103	-2.074458233886271e-103

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	8
1	20	8

end0.0ms

sample447.0ms

Algorithm

intervals

Results

237.0ms

8425×

body

valid