Details

sample20.0ms

Algorithm

intervals

Results

9.0ms

276×

body

valid

simplify117.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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: 7.1b

Counts

2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

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

series180.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(* (- y z) (- t z))
144.0ms	(/ x (* (- y z) (- t z)))

simplify70.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 2 (60.0ms)

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

prune186.0ms

Filtered

91 candidates to 57 candidates (62.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	85	6	91
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	85	7	92

Merged error: 0.0b

Counts

92 → 7

localize9.0ms

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)))

rewrite44.0ms

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

Counts

3 → 156

Calls

3 calls:

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

series289.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(/ x (- t z))
35.0ms	(/ 1 (- y z))
222.0ms	(* (/ 1 (- y z)) (/ x (- t z)))

simplify62.0ms

Algorithm

egg-herbie

Counts

165 → 165

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	528	932
1	2265	821
2	5002	781

prune275.0ms

Filtered

165 candidates to 102 candidates (61.8%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	162	3	165
Fresh	1	4	5
Picked	1	0	1
Done	0	1	1
Total	164	8	172

Merged error: 0.0b

Counts

172 → 8

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite33.0ms

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:

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

series166.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(/ x (- t z))
135.0ms	(/ (/ x (- t z)) (- y z))

simplify87.0ms

Algorithm

egg-herbie

Counts

195 → 195

Iterations

Useful iterations: 1 (22.0ms)

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

prune403.0ms

Filtered

195 candidates to 132 candidates (67.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	191	4	195
Fresh	4	2	6
Picked	1	0	1
Done	0	1	1
Total	196	7	203

Merged error: 0b

Counts

203 → 7

localize9.0ms

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))

rewrite41.0ms

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×	`expm1-log1p-u` `rec-exp` `flip3--` `1-exp` `associate-l` `flip--` `log1p-expm1-u` `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 → 124

Calls

3 calls:

6.0ms	(/ 1 (- t z))
11.0ms	(* x (/ 1 (- t z)))
19.0ms	(/ (* x (/ 1 (- t z))) (- y z))

series208.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(/ 1 (- t z))
38.0ms	(* x (/ 1 (- t z)))
131.0ms	(/ (* x (/ 1 (- t z))) (- y z))

simplify60.0ms

Algorithm

egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	401	661
1	1820	554
2	5001	507

prune195.0ms

Filtered

133 candidates to 78 candidates (58.6%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	133	0	133
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	133	7	140

Merged error: 0b

Counts

140 → 7

regimes197.0ms

Accuracy

66.1% (0.7b remaining)

Error of 0.8b 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	20	14
1	20	14

end0.0ms

sample497.0ms

Algorithm

intervals

Results

275.0ms

8439×

body

valid