Details

sample27.0ms

Algorithm

intervals

Results

12.0ms

352×

body

valid

simplify80.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	27	6
1	91	6
2	289	6
3	770	6
4	1514	6
5	1860	6
6	1885	6
7	1885	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

localize11.0ms

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))

rewrite21.0ms

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×	`expm1-log1p-u` `times-frac` `associate-r` `pow-prod-down` `log1p-expm1-u` `associate-/l*`
2×	`cbrt-undiv` `flip3--` `div-exp` `flip--` `associate-/l/`
1×	`sub-neg` `frac-2neg` `fma-neg` `diff-log` `div-sub` `associate-l` `prod-diff` `clear-num` `associate-/r` `-commutative` `div-inv`

Counts

3 → 62

Calls

3 calls:

4.0ms	(- (* x y) (* (* z 9.0) t))
9.0ms	(* (* z 9.0) t)
7.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series142.0ms

Counts

3 → 9

Calls

3 calls:

57.0ms	(- (* x y) (* (* z 9.0) t))
18.0ms	(* (* z 9.0) t)
66.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify58.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	346	438
1	1623	375
2	5002	375

prune193.0ms

Filtered

71 candidates to 52 candidates (73.2%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	60	11	71
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	61	11	72

Merged error: 5.9b

Counts

72 → 11

localize11.0ms

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))

rewrite21.0ms

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×	`expm1-log1p-u` `times-frac` `associate-l` `pow-prod-down` `log1p-expm1-u` `associate-/l*`
2×	`cbrt-undiv` `flip3--` `div-exp` `flip--` `associate-/l/`
1×	`sub-neg` `frac-2neg` `fma-neg` `diff-log` `div-sub` `associate-r` `prod-diff` `clear-num` `associate-/r` `-commutative` `div-inv`

Counts

3 → 62

Calls

3 calls:

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

series145.0ms

Counts

3 → 9

Calls

3 calls:

57.0ms	(- (* x y) (* 9.0 (* t z)))
20.0ms	(* 9.0 (* t z))
67.0ms	(/ (- (* x y) (* 9.0 (* t z))) (* a 2.0))

simplify52.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	336	437
1	1324	374
2	5002	374

prune164.0ms

Filtered

71 candidates to 49 candidates (69.0%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	71	0	71
Fresh	0	10	10
Picked	0	1	1
Done	0	0	0
Total	71	11	82

Merged error: 5.9b

Counts

82 → 11

localize11.0ms

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)

rewrite27.0ms

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×	`expm1-log1p-u` `log1p-expm1-u` `div-inv` `add-log-exp`
2×	`frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `-commutative` `associate-/l*` `unswap-sqr`

Counts

4 → 104

Calls

4 calls:

7.0ms	(* 0.5 (/ (* x y) a))
7.0ms	(* 4.5 (/ (* t z) a))
5.0ms	(/ (* t z) a)
5.0ms	(/ (* x y) a)

series102.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(* 0.5 (/ (* x y) a))
32.0ms	(* 4.5 (/ (* t z) a))
20.0ms	(/ (* t z) a)
21.0ms	(/ (* x y) a)

simplify58.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	388	484
1	2044	398
2	5002	398

prune262.0ms

Filtered

116 candidates to 76 candidates (65.5%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	109	7	116
Fresh	6	3	9
Picked	1	0	1
Done	0	1	1
Total	116	11	127

Merged error: 0.2b

Counts

127 → 11

localize12.0ms

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)

rewrite43.0ms

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×	`expm1-log1p-u` `log1p-expm1-u` `associate-/l*` `add-log-exp` `unswap-sqr`
2×	`frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `associate-/r/` `-commutative`

Counts

4 → 192

Calls

4 calls:

14.0ms	(* 0.5 (/ x (/ a y)))
7.0ms	(* 4.5 (/ (* t z) a))
9.0ms	(/ x (/ a y))
5.0ms	(/ (* t z) a)

series105.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(* 0.5 (/ x (/ a y)))
33.0ms	(* 4.5 (/ (* t z) a))
21.0ms	(/ x (/ a y))
21.0ms	(/ (* t z) a)

simplify98.0ms

Algorithm

egg-herbie

Counts

204 → 204

Iterations

Useful iterations: 1 (23.0ms)

Iter	Nodes	Cost
0	723	1084
1	3722	993
2	5001	993

prune506.0ms

Filtered

204 candidates to 158 candidates (77.5%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	200	4	204
Fresh	5	4	9
Picked	1	0	1
Done	0	1	1
Total	206	9	215

Merged error: 0.0b

Counts

215 → 9

regimes514.0ms

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

sample923.0ms

Algorithm

intervals

Results

607.0ms

11014×

body

valid