Details

sample30.0ms

Algorithm

intervals

Results

12.0ms

352×

body

valid

simplify72.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	26	6
1	89	6
2	277	6
3	735	6
4	1436	6
5	1714	6
6	1730	6
7	1730	6

prune3.0ms

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: 6.3b

Counts

2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x y) (* (* z 9.0) t))
0.2b	(* (* z 9.0) t)
5.9b	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-exp-log` `add-cbrt-cube`
8×	`pow1`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`add-log-exp`
4×	`prod-exp` `cbrt-unprod`
3×	`times-frac` `associate-r` `pow-prod-down` `associate-/l*`
2×	`cbrt-undiv` `flip3--` `div-exp` `flip--` `associate-/l/`
1×	`sub-neg` `frac-2neg` `diff-log` `div-sub` `associate-l` `clear-num` `associate-/r` `-commutative` `div-inv`

Counts

3 → 54

Calls

3 calls:

3.0ms	(- (* x y) (* (* z 9.0) t))
5.0ms	(* (* z 9.0) t)
7.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series132.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(- (* x y) (* (* z 9.0) t))
17.0ms	(* (* z 9.0) t)
64.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify48.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	326	399
1	1408	341
2	5002	341

prune146.0ms

Filtered

63 candidates to 44 candidates (69.8%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	52	11	63
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	53	11	64

Merged error: 5.9b

Counts

64 → 11

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x y) (* 9.0 (* t z)))
0.3b	(* 9.0 (* t z))
5.9b	(/ (- (* x y) (* 9.0 (* t z))) (* a 2.0))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-exp-log` `add-cbrt-cube`
8×	`pow1`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`add-log-exp`
4×	`prod-exp` `cbrt-unprod`
3×	`times-frac` `associate-l` `pow-prod-down` `associate-/l*`
2×	`cbrt-undiv` `flip3--` `div-exp` `flip--` `associate-/l/`
1×	`sub-neg` `frac-2neg` `diff-log` `div-sub` `associate-r` `clear-num` `associate-/r` `-commutative` `div-inv`

Counts

3 → 54

Calls

3 calls:

3.0ms	(- (* x y) (* 9.0 (* t z)))
5.0ms	(* 9.0 (* t z))
6.0ms	(/ (- (* x y) (* 9.0 (* t z))) (* a 2.0))

series132.0ms

Counts

3 → 9

Calls

3 calls:

50.0ms	(- (* x y) (* 9.0 (* t z)))
22.0ms	(* 9.0 (* t z))
61.0ms	(/ (- (* x y) (* 9.0 (* t z))) (* a 2.0))

simplify39.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	311	398
1	1209	340
2	5001	340

prune121.0ms

Filtered

63 candidates to 41 candidates (65.1%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	63	0	63
Fresh	0	10	10
Picked	0	1	1
Done	0	0	0
Total	63	11	74

Merged error: 5.9b

Counts

74 → 11

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 0.5 (/ (* x y) a))
0.2b	(* 4.5 (/ (* t z) a))
4.6b	(/ (* t z) a)
4.7b	(/ (* x y) a)

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-exp-log` `add-cbrt-cube`
18×	`add-sqr-sqrt`
14×	`add-cube-cbrt` `-un-lft-identity` `associate-r*`
12×	`times-frac`
10×	`prod-exp` `cbrt-unprod`
8×	`pow1` `cbrt-undiv` `div-exp`
6×	`associate-l` `associate-/r*`
4×	`div-inv` `add-log-exp`
2×	`frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `-commutative` `associate-/l*` `unswap-sqr`

Counts

4 → 96

Calls

4 calls:

6.0ms	(* 0.5 (/ (* x y) a))
6.0ms	(* 4.5 (/ (* t z) a))
4.0ms	(/ (* t z) a)
4.0ms	(/ (* x y) a)

series94.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(* 0.5 (/ (* x y) a))
29.0ms	(* 4.5 (/ (* t z) a))
18.0ms	(/ (* t z) a)
19.0ms	(/ (* x y) a)

simplify50.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	380	456
1	2036	370
2	5002	370

prune207.0ms

Filtered

108 candidates to 68 candidates (63.0%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	101	7	108
Fresh	6	3	9
Picked	1	0	1
Done	0	1	1
Total	108	11	119

Merged error: 0.2b

Counts

119 → 11

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 0.5 (/ x (/ a y)))
0.2b	(* 4.5 (/ (* t z) a))
4.0b	(/ x (/ a y))
4.6b	(/ (* t z) a)

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

150×	`times-frac`
98×	`add-sqr-sqrt`
87×	`add-cube-cbrt` `*-un-lft-identity`
51×	`associate-r`
32×	`add-exp-log` `add-cbrt-cube`
16×	`associate-/r*`
11×	`div-inv`
10×	`cbrt-undiv` `div-exp`
8×	`pow1` `prod-exp` `cbrt-unprod`
6×	`associate-l`
4×	`associate-/l*` `add-log-exp` `unswap-sqr`
2×	`frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `associate-/r/` `-commutative`

Counts

4 → 184

Calls

4 calls:

13.0ms	(* 0.5 (/ x (/ a y)))
6.0ms	(* 4.5 (/ (* t z) a))
6.0ms	(/ x (/ a y))
4.0ms	(/ (* t z) a)

series97.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(* 0.5 (/ x (/ a y)))
26.0ms	(* 4.5 (/ (* t z) a))
20.0ms	(/ x (/ a y))
23.0ms	(/ (* t z) a)

simplify91.0ms

Algorithm

egg-herbie

Counts

196 → 196

Iterations

Useful iterations: 1 (21.0ms)

Iter	Nodes	Cost
0	715	1056
1	3690	965
2	5003	965

prune439.0ms

Filtered

196 candidates to 150 candidates (76.5%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	192	4	196
Fresh	5	4	9
Picked	1	0	1
Done	0	1	1
Total	198	9	207

Merged error: 0.0b

Counts

207 → 9

regimes475.0ms

Accuracy

90.5% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 8.2b

bsearch2.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	21
1	43	21

end0.0ms

sample733.0ms

Algorithm

intervals

Results

393.0ms

11014×

body

valid