Details

sample21.0ms

Algorithm

intervals

Results

9.0ms

273×

body

valid

simplify48.0ms

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

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: 10.6b

Counts

2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- y z) t)
10.1b	(/ (* (- y z) t) (- a z))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 51

Calls

2 calls:

6.0ms	(* (- y z) t)
9.0ms	(/ (* (- y z) t) (- a z))

series92.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify35.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	256	263
1	1188	226
2	5001	226

prune120.0ms

Filtered

57 candidates to 40 candidates (70.2%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	50	7	57
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	51	7	58

Merged error: 0b

Counts

58 → 7

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- a z) t)
12.4b	(/ (- y z) (/ (- a z) t))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

200×	`times-frac`
170×	`add-sqr-sqrt` `*-un-lft-identity`
86×	`add-cube-cbrt`
42×	`distribute-lft-out--` `difference-of-squares`
22×	`associate-/r*`
10×	`associate-/l*`
9×	`add-exp-log` `add-cbrt-cube`
8×	`div-inv`
4×	`cbrt-undiv` `div-exp` `associate-/l/`
2×	`pow1` `flip3--` `frac-2neg` `div-sub` `clear-num` `flip--` `add-log-exp`
1×	`associate-/r/`

Counts

2 → 175

Calls

2 calls:

6.0ms	(/ (- a z) t)
12.0ms	(/ (- y z) (/ (- a z) t))

series121.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(/ (- a z) t)
95.0ms	(/ (- y z) (/ (- a z) t))

simplify75.0ms

Algorithm

egg-herbie

Counts

181 → 181

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	702	1608
1	2759	1557
2	5002	1556

prune348.0ms

Filtered

181 candidates to 119 candidates (65.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	179	2	181
Fresh	4	2	6
Picked	0	1	1
Done	0	0	0
Total	183	5	188

Merged error: 0b

Counts

188 → 5

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- y z) (- a z))
1.5b	(* (/ (- y z) (- a z)) t)

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

75×	`add-sqr-sqrt`
70×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-l`
26×	`add-cube-cbrt`
22×	`distribute-lft-out--` `difference-of-squares`
9×	`add-exp-log` `add-cbrt-cube`
5×	`associate-/r` `associate-/l`
4×	`pow1` `associate-/r/`
3×	`flip3--` `associate-r` `flip--`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `add-log-exp` `unswap-sqr`
1×	`frac-2neg` `div-sub` `pow-prod-down` `associate-l/` `clear-num` `-commutative`

Counts

2 → 102

Calls

2 calls:

8.0ms	(/ (- y z) (- a z))
15.0ms	(* (/ (- y z) (- a z)) t)

series141.0ms

Counts

2 → 6

Calls

2 calls:

46.0ms	(/ (- y z) (- a z))
94.0ms	(* (/ (- y z) (- a z)) t)

simplify104.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	360	653
1	1125	612
2	4528	611
3	5002	611

prune198.0ms

Filtered

108 candidates to 72 candidates (66.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	107	1	108
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	108	5	113

Merged error: 0b

Counts

113 → 5

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- y z) (- a z))
1.6b	(/ (/ (- y z) (- a z)) (/ 1 t))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 524

Calls

2 calls:

8.0ms	(/ (- y z) (- a z))
22.0ms	(/ (/ (- y z) (- a z)) (/ 1 t))

series147.0ms

Counts

2 → 6

Calls

2 calls:

50.0ms	(/ (- y z) (- a z))
97.0ms	(/ (/ (- y z) (- a z)) (/ 1 t))

simplify110.0ms

Algorithm

egg-herbie

Counts

530 → 530

Iterations

Useful iterations: 1 (40.0ms)

Iter	Nodes	Cost
0	2084	6976
1	5001	6484

prune814.0ms

Filtered

530 candidates to 246 candidates (46.4%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	530	0	530
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	530	5	535

Merged error: 0b

Counts

535 → 5

regimes170.0ms

Accuracy

0% (1.4b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 1.4b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	5
1	12	5

end0.0ms

sample560.0ms

Algorithm

intervals

Results

306.0ms	8716×	body	80	valid
0.0ms	2×	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

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