Details

sample23.0ms

Algorithm

intervals

Results

11.0ms

271×

body

valid

simplify57.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	17	5
1	35	5
2	60	5
3	96	5
4	140	5
5	174	5
6	202	5
7	242	5
8	289	5
9	383	5
10	523	5
11	818	5
12	861	5
13	863	5
14	863	5

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: 10.9b

Counts

2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (* (- y z) t) (- a z)))
0.0b	(* (- y z) t)
10.9b	(/ (* (- y z) t) (- a z))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`add-exp-log` `add-cbrt-cube`
7×	`add-cube-cbrt`
5×	`pow1` `times-frac` `associate-l` `associate-/r*` `add-log-exp`
4×	`associate-*l/`
3×	`flip3--` `associate-r` `flip--` `distribute-lft-out--` `difference-of-squares`
2×	`cbrt-undiv` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `associate-/l/`
1×	`+-commutative` `frac-2neg` `flip3-+` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip-+` `div-inv` `distribute-lft-out` `associate-/l` `unswap-sqr`

Counts

3 → 63

Calls

3 calls:

7.0ms	(+ x (/ (* (- y z) t) (- a z)))
6.0ms	(* (- y z) t)
8.0ms	(/ (* (- y z) t) (- a z))

series168.0ms

Counts

3 → 9

Calls

3 calls:

73.0ms	(+ x (/ (* (- y z) t) (- a z)))
28.0ms	(* (- y z) t)
66.0ms	(/ (* (- y z) t) (- a z))

simplify41.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	326	368
1	1401	329
2	5001	329

prune153.0ms

Filtered

72 candidates to 52 candidates (72.2%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	65	7	72
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	66	7	73

Merged error: 0.0b

Counts

73 → 7

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* (- y z) (/ t (- a z))))
0.0b	(/ t (- a z))
7.4b	(* (- y z) (/ t (- a z)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-sqr-sqrt`
39×	`*-un-lft-identity`
31×	`times-frac`
23×	`add-cube-cbrt`
21×	`associate-r`
10×	`add-exp-log` `add-cbrt-cube`
8×	`distribute-lft-out--` `difference-of-squares`
5×	`pow1` `associate-l` `associate-/r*` `add-log-exp`
4×	`flip3--` `associate-/r/` `flip--`
3×	`associate-/l*`
2×	`cbrt-undiv` `frac-times` `div-exp` `associate-*l/` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`+-commutative` `frac-2neg` `flip3-+` `associate-r/` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip-+`

Counts

3 → 94

Calls

3 calls:

3.0ms	(+ x (* (- y z) (/ t (- a z))))
5.0ms	(/ t (- a z))
12.0ms	(* (- y z) (/ t (- a z)))

series164.0ms

Counts

3 → 9

Calls

3 calls:

72.0ms	(+ x (* (- y z) (/ t (- a z))))
27.0ms	(/ t (- a z))
64.0ms	(* (- y z) (/ t (- a z)))

simplify46.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	365	574
1	1604	535
2	5001	535

prune198.0ms

Filtered

103 candidates to 75 candidates (72.8%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	101	2	103
Fresh	1	5	6
Picked	0	1	1
Done	0	0	0
Total	102	8	110

Merged error: 0b

Counts

110 → 8

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* (- y z) (* t (/ 1 (- a z)))))
0.0b	(/ 1 (- a z))
0.2b	(* t (/ 1 (- a z)))
7.4b	(* (- y z) (* t (/ 1 (- a z))))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

48×	`add-sqr-sqrt`
42×	`*-un-lft-identity`
32×	`add-exp-log` `times-frac`
25×	`add-cube-cbrt`
22×	`associate-r`
20×	`add-cbrt-cube`
13×	`prod-exp`
12×	`pow1`
8×	`associate-l` `distribute-lft-out--` `difference-of-squares`
7×	`cbrt-unprod`
6×	`associate-*r/` `div-exp` `add-log-exp`
5×	`flip3--` `associate-/r*` `flip--`
4×	`frac-times` `pow-prod-down` `associate-/r/` `un-div-inv`
3×	`cbrt-undiv` `rec-exp` `1-exp` `associate-/l*` `unswap-sqr`
2×	`associate-l/` `-commutative` `div-inv`
1×	`+-commutative` `pow-flip` `frac-2neg` `flip3-+` `clear-num` `sum-log` `flip-+` `inv-pow`

Counts

4 → 128

Calls

4 calls:

3.0ms	(+ x (* (- y z) (* t (/ 1 (- a z)))))
5.0ms	(/ 1 (- a z))
10.0ms	(* t (/ 1 (- a z)))
12.0ms	(* (- y z) (* t (/ 1 (- a z))))

series196.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(+ x (* (- y z) (* t (/ 1 (- a z)))))
36.0ms	(/ 1 (- a z))
27.0ms	(* t (/ 1 (- a z)))
63.0ms	(* (- y z) (* t (/ 1 (- a z))))

simplify55.0ms

Algorithm

egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	445	736
1	1858	634
2	5001	589

prune199.0ms

Filtered

140 candidates to 80 candidates (57.1%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	140	0	140
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	140	8	148

Merged error: 0b

Counts

148 → 8

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (- y z) (/ (- a z) t)))
0.0b	(/ (- a z) t)
8.0b	(/ (- y z) (/ (- a z) t))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

200×	`times-frac`
173×	`*-un-lft-identity`
171×	`add-sqr-sqrt`
87×	`add-cube-cbrt`
42×	`distribute-lft-out--` `difference-of-squares`
22×	`associate-/r*`
10×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
8×	`div-inv`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp` `associate-/l/`
3×	`pow1` `div-sub`
2×	`flip3--` `frac-2neg` `clear-num` `flip--`
1×	`+-commutative` `associate-+r-` `flip3-+` `sum-log` `associate-/r/` `flip-+` `distribute-lft-out`

Counts

3 → 188

Calls

3 calls:

26.0ms	(+ x (/ (- y z) (/ (- a z) t)))
5.0ms	(/ (- a z) t)
11.0ms	(/ (- y z) (/ (- a z) t))

series187.0ms

Counts

3 → 9

Calls

3 calls:

70.0ms	(+ x (/ (- y z) (/ (- a z) t)))
25.0ms	(/ (- a z) t)
92.0ms	(/ (- y z) (/ (- a z) t))

simplify74.0ms

Algorithm

egg-herbie

Counts

197 → 197

Iterations

Useful iterations: 1 (18.0ms)

Iter	Nodes	Cost
0	779	1717
1	2986	1664
2	5001	1664

prune342.0ms

Filtered

197 candidates to 132 candidates (67.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	194	3	197
Fresh	4	1	5
Picked	1	0	1
Done	1	1	2
Total	200	5	205

Merged error: 0b

Counts

205 → 5

regimes118.0ms

Accuracy

0% (2.9b remaining)

Error of 2.9b against oracle of 0.0b and baseline of 2.9b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	6
1	17	6

end0.0ms

sample568.0ms

Algorithm

intervals

Results

310.0ms	8760×	body	80	valid
0.0ms	3×	body	160	valid
0.0ms	1×	body	1280	valid

Iter	Nodes	Cost
0	17	5
1	35	5
2	60	5
3	96	5
4	140	5
5	174	5
6	202	5
7	242	5
8	289	5
9	383	5
10	523	5
11	818	5
12	861	5
13	863	5
14	863	5

Iter	Nodes	Cost
0	17	5
1	35	5
2	60	5
3	96	5
4	140	5
5	174	5
6	202	5
7	242	5
8	289	5
9	383	5
10	523	5
11	818	5
12	861	5
13	863	5
14	863	5

Details

sample23.0ms

simplify57.0ms

prune2.0ms

localize8.0ms

rewrite23.0ms

series168.0ms

simplify41.0ms

prune153.0ms

localize8.0ms

rewrite23.0ms

series164.0ms

simplify46.0ms

prune198.0ms

localize9.0ms

rewrite35.0ms

series196.0ms

simplify55.0ms

prune199.0ms

localize8.0ms

rewrite52.0ms

series187.0ms

simplify74.0ms

prune342.0ms

regimes118.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample568.0ms

Profiling

Iter	Nodes	Cost
0	17	5
1	35	5
2	60	5
3	96	5
4	140	5
5	174	5
6	202	5
7	242	5
8	289	5
9	383	5
10	523	5
11	818	5
12	861	5
13	863	5
14	863	5