Details

sample21.0ms

Algorithm

intervals

Results

9.0ms

278×

body

valid

simplify49.0ms

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: 12.5b

Counts

2 → 1

localize8.0ms

Local error

Found 1 expressions with local error:

12.2b

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

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 29

Calls

1 calls:

8.0ms

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

series62.0ms

Counts

1 → 3

Calls

1 calls:

62.0ms

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

simplify89.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	204	177
1	884	150
2	4387	150
3	5003	150

prune74.0ms

Filtered

32 candidates to 23 candidates (71.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	28	4	32
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	28	5	33

Merged error: 0.0b

Counts

33 → 5

localize8.0ms

Local error

Found 1 expressions with local error:

12.3b

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

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
21×	`associate-r`
19×	`*-un-lft-identity`
16×	`times-frac`
11×	`add-cube-cbrt`
6×	`add-exp-log` `add-cbrt-cube`
5×	`associate-l`
4×	`distribute-lft-out--` `difference-of-squares`
3×	`pow1` `flip3--` `flip--`
2×	`frac-times` `associate-*l/` `prod-exp` `associate-/r/` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `associate-r/` `div-exp` `pow-prod-down` `-commutative` `div-inv` `add-log-exp`

Counts

1 → 46

Calls

1 calls:

12.0ms

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

series64.0ms

Counts

1 → 3

Calls

1 calls:

64.0ms

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

simplify39.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	263	286
1	1222	259
2	5001	259

prune94.0ms

Filtered

49 candidates to 33 candidates (67.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	48	1	49
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	48	6	54

Merged error: 0.0b

Counts

54 → 6

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- a z) t)
12.7b	(/ (- y z) (/ (- a z) t))

rewrite30.0ms

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)
11.0ms	(/ (- y z) (/ (- a z) t))

series118.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(/ (- a z) t)
93.0ms	(/ (- y z) (/ (- a z) t))

simplify73.0ms

Algorithm

egg-herbie

Counts

181 → 181

Iterations

Useful iterations: 2 (55.0ms)

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

prune357.0ms

Filtered

181 candidates to 119 candidates (65.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	178	3	181
Fresh	3	0	3
Picked	1	0	1
Done	0	2	2
Total	182	5	187

Merged error: 0b

Counts

187 → 5

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- y z) (- a z))
2.2b	(* (/ (- y z) (- a z)) t)

rewrite25.0ms

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

series141.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(/ (- y z) (- a z))
96.0ms	(* (/ (- y z) (- a z)) t)

simplify98.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (30.0ms)

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

prune173.0ms

Filtered

108 candidates to 70 candidates (64.8%)

Pruning

5 alts after pruning (2 fresh and 3 done)

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

Merged error: 0b

Counts

113 → 5

regimes197.0ms

Accuracy

76.1% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 1.7b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	18
1	26	18

end0.0ms

sample551.0ms

Algorithm

intervals

Results

289.0ms	8745×	body	80	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

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