Details

sample20.0ms

Algorithm

intervals

Results

8.0ms

274×

body

valid

simplify54.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	5
1	35	5
2	56	5
3	94	5
4	150	5
5	185	5
6	203	5
7	230	5
8	280	5
9	368	5
10	457	5
11	723	5
12	922	5
13	1038	5
14	1060	5
15	1060	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: 0.7b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z t) (- z a))
1.2b	(* y (/ (- z t) (- z a)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

75×	`add-sqr-sqrt`
70×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-r`
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-l` `flip--`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `add-log-exp` `unswap-sqr`
1×	`frac-2neg` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `-commutative`

Counts

2 → 102

Calls

2 calls:

8.0ms	(/ (- z t) (- z a))
16.0ms	(* y (/ (- z t) (- z a)))

series105.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(/ (- z t) (- z a))
64.0ms	(* y (/ (- z t) (- z a)))

simplify41.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	351	647
1	1392	606
2	5002	606

prune205.0ms

Filtered

108 candidates to 71 candidates (65.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	104	4	108
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	104	5	109

Merged error: 0b

Counts

109 → 5

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- z t))
0.6b	(cbrt (- z a))
0.6b	(cbrt (- z a))
0.6b	(cbrt (- z a))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

20×	`cbrt-prod`
16×	`add-sqr-sqrt` `*-un-lft-identity`
8×	`add-cube-cbrt` `cbrt-div`
4×	`pow1` `add-exp-log` `flip3--` `pow1/3` `add-cbrt-cube` `flip--` `distribute-lft-out--` `add-log-exp` `difference-of-squares`

Counts

4 → 60

Calls

4 calls:

3.0ms	(cbrt (- z t))
3.0ms	(cbrt (- z a))
3.0ms	(cbrt (- z a))
3.0ms	(cbrt (- z a))

series590.0ms

Counts

4 → 12

Calls

4 calls:

155.0ms	(cbrt (- z t))
144.0ms	(cbrt (- z a))
145.0ms	(cbrt (- z a))
145.0ms	(cbrt (- z a))

simplify193.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 4 (184.0ms)

Iter	Nodes	Cost
0	243	428
1	523	408
2	1374	396
3	4708	375
4	5001	367

prune252.0ms

Filtered

72 candidates to 60 candidates (83.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	72	0	72
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	72	5	77

Merged error: 0b

Counts

77 → 5

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(* y (- z t))
11.1b	(/ (* y (- z t)) (- z a))

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-r` `associate-/r*`
4×	`pow1` `associate-*r/`
3×	`flip3--` `associate-l` `flip--` `distribute-lft-out--` `difference-of-squares`
2×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `distribute-lft-in` `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 → 55

Calls

2 calls:

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

series100.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(* y (- z t))
65.0ms	(/ (* y (- z t)) (- z a))

simplify40.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	267	276
1	1217	239
2	5001	239

prune95.0ms

Filtered

61 candidates to 38 candidates (62.3%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	59	2	61
Fresh	2	0	2
Picked	0	1	1
Done	0	2	2
Total	61	5	66

Merged error: 0b

Counts

66 → 5

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z a) (- z t))
1.1b	(/ y (/ (- z a) (- z t)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac`
194×	`add-sqr-sqrt` `*-un-lft-identity`
90×	`add-cube-cbrt`
52×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
11×	`associate-/r/`
9×	`add-exp-log` `add-cbrt-cube`
8×	`associate-/l*`
6×	`flip3--` `flip--` `div-inv`
4×	`cbrt-undiv` `div-exp`
2×	`pow1` `frac-2neg` `clear-num` `associate-/l/` `add-log-exp`
1×	`div-sub`

Counts

2 → 194

Calls

2 calls:

11.0ms	(/ (- z a) (- z t))
12.0ms	(/ y (/ (- z a) (- z t)))

series166.0ms

Counts

2 → 6

Calls

2 calls:

53.0ms	(/ (- z a) (- z t))
113.0ms	(/ y (/ (- z a) (- z t)))

simplify81.0ms

Algorithm

egg-herbie

Counts

200 → 200

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	630	1780
1	2843	1729
2	5003	1726

prune366.0ms

Filtered

200 candidates to 132 candidates (66.0%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	200	0	200
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	200	5	205

Merged error: 0b

Counts

205 → 5

regimes199.0ms

Accuracy

0% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	19
1	19	19

end0.0ms

sample530.0ms

Algorithm

intervals

Results

265.0ms

8745×

body

valid