Details

sample32.0ms

Algorithm

intervals

Results

10.0ms

282×

body

valid

simplify44.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune4.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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: 10.2b

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)
11.1b	(/ (* (- y z) t) (- a z))

rewrite22.0ms

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))

series46.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(+ x (/ (* (- y z) t) (- a z)))
6.0ms	(* (- y z) t)
14.0ms	(/ (* (- y z) t) (- a z))

simplify36.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 1 (8.0ms)

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

prune90.0ms

Filtered

72 candidates to 52 candidates (27.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	66	6	72
Fresh	0	0	0
Picked	0	1	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) (/ (- a z) t)))
0.0b	(/ (- a z) t)
13.4b	(/ (- y z) (/ (- a z) t))

rewrite54.0ms

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:

25.0ms	(+ x (/ (- y z) (/ (- a z) t)))
5.0ms	(/ (- a z) t)
13.0ms	(/ (- y z) (/ (- a z) t))

series53.0ms

Counts

3 → 9

Calls

3 calls:

24.0ms	(+ x (/ (- y z) (/ (- a z) t)))
6.0ms	(/ (- a z) t)
23.0ms	(/ (- y z) (/ (- a z) t))

simplify69.0ms

Algorithm

egg-herbie

Counts

197 → 197

Iterations

Useful iterations: 1 (16.0ms)

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

prune155.0ms

Filtered

197 candidates to 132 candidates (33.0%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	196	1	197
Fresh	1	4	5
Picked	1	0	1
Done	0	1	1
Total	198	6	204

Merged error: 0b

Counts

204 → 6

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (/ (- y z) (- a z)) (/ 1 t)))
0.0b	(/ (- y z) (- a z))
2.4b	(/ (/ (- y z) (- a z)) (/ 1 t))

rewrite166.0ms

Algorithm

rewrite-expression-head

Rules

1066×	`times-frac`
699×	`*-un-lft-identity`
697×	`add-sqr-sqrt`
393×	`add-cube-cbrt`
152×	`distribute-lft-out--` `difference-of-squares`
48×	`div-inv`
36×	`associate-/l*`
31×	`associate-/r/`
27×	`add-exp-log`
18×	`associate-/r*`
17×	`div-exp` `add-cbrt-cube`
16×	`flip3--` `flip--`
9×	`cbrt-undiv`
5×	`div-sub` `add-log-exp`
3×	`pow1` `associate-/l/`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num`
1×	`+-commutative` `associate-+r-` `flip3-+` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 537

Calls

3 calls:

89.0ms	(+ x (/ (/ (- y z) (- a z)) (/ 1 t)))
8.0ms	(/ (- y z) (- a z))
21.0ms	(/ (/ (- y z) (- a z)) (/ 1 t))

series53.0ms

Counts

3 → 9

Calls

3 calls:

24.0ms	(+ x (/ (/ (- y z) (- a z)) (/ 1 t)))
9.0ms	(/ (- y z) (- a z))
20.0ms	(/ (/ (- y z) (- a z)) (/ 1 t))

simplify106.0ms

Algorithm

egg-herbie

Counts

546 → 546

Iterations

Useful iterations: 1 (40.0ms)

Iter	Nodes	Cost
0	2158	7100
1	5001	6605

prune366.0ms

Filtered

546 candidates to 261 candidates (52.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	546	0	546
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	546	6	552

Merged error: 0b

Counts

552 → 6

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* (- y z) (/ t (- a z))))
0.0b	(/ t (- a z))
13.6b	(* (- 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)))

series47.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(+ x (* (- y z) (/ t (- a z))))
6.0ms	(/ t (- a z))
14.0ms	(* (- y z) (/ t (- a z)))

simplify41.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 1 (9.0ms)

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

prune79.0ms

Filtered

103 candidates to 74 candidates (28.2%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	103	0	103
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	103	6	109

Merged error: 0b

Counts

109 → 6

regimes566.0ms

Accuracy

0% (1.5b remaining)

Error of 1.5b against oracle of 0.0b and baseline of 1.5b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	6
1	15	6

end0.0ms

sample775.0ms

Algorithm

intervals

Results

317.0ms	8746×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	320	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

sample32.0ms

simplify44.0ms

prune4.0ms

localize8.0ms

rewrite22.0ms

series46.0ms

simplify36.0ms

prune90.0ms

localize8.0ms

rewrite54.0ms

series53.0ms

simplify69.0ms

prune155.0ms

localize9.0ms

rewrite166.0ms

series53.0ms

simplify106.0ms

prune366.0ms

localize8.0ms

rewrite23.0ms

series47.0ms

simplify41.0ms

prune79.0ms

regimes566.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample775.0ms

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