Details

sample16.0ms

Algorithm

intervals

Results

7.0ms

271×

body

valid

simplify56.0ms

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: 8.0b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- y z) (- t z))
7.9b	(/ 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)))

series148.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(* (- y z) (- t z))
118.0ms	(/ x (* (- y z) (- t z)))

simplify42.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 2 (35.0ms)

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

prune145.0ms

Filtered

69 candidates to 51 candidates (73.9%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	63	6	69
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	64	6	70

Merged error: 0.0b

Counts

70 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
0.8b	(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- t z)))

rewrite32.0ms

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

Counts

4 → 110

Calls

4 calls:

3.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)
22.0ms	(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- t z)))

series647.0ms

Counts

4 → 12

Calls

4 calls:

172.0ms	(cbrt x)
171.0ms	(cbrt x)
168.0ms	(cbrt x)
135.0ms	(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- t z)))

simplify74.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	532	1044
1	2672	853
2	5002	794

prune306.0ms

Filtered

122 candidates to 93 candidates (76.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	119	3	122
Fresh	2	3	5
Picked	0	1	1
Done	0	0	0
Total	121	7	128

Merged error: 0b

Counts

128 → 7

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ x (- t z))
1.5b	(/ (/ x (- t z)) (- y 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` `frac-2neg` `clear-num` `add-log-exp`
1×	`associate-/l/`

Counts

2 → 185

Calls

2 calls:

5.0ms	(/ x (- t z))
15.0ms	(/ (/ x (- t z)) (- y z))

series147.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(/ x (- t z))
116.0ms	(/ (/ x (- t z)) (- y z))

simplify66.0ms

Algorithm

egg-herbie

Counts

191 → 191

Iterations

Useful iterations: 1 (15.0ms)

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

prune395.0ms

Filtered

191 candidates to 129 candidates (67.5%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	189	2	191
Fresh	2	3	5
Picked	1	0	1
Done	1	0	1
Total	193	5	198

Merged error: 0b

Counts

198 → 5

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ x (- t z))
0.0b	(/ 1 (- y z))
1.6b	(* (/ x (- t z)) (/ 1 (- y z)))

rewrite38.0ms

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	(/ x (- t z))
5.0ms	(/ 1 (- y z))
22.0ms	(* (/ x (- t z)) (/ 1 (- y z)))

series182.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(/ x (- t z))
38.0ms	(/ 1 (- y z))
118.0ms	(* (/ x (- t z)) (/ 1 (- y 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

prune276.0ms

Filtered

160 candidates to 98 candidates (61.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	160	0	160
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	160	5	165

Merged error: 0b

Counts

165 → 5

regimes110.0ms

Accuracy

0% (2.3b remaining)

Error of 2.3b against oracle of 0.0b and baseline of 2.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	5
1	13	5

end0.0ms

sample434.0ms

Algorithm

intervals

Results

222.0ms

8442×

body

valid