Details

sample21.0ms

Algorithm

intervals

Results

10.0ms

281×

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: 1.1b

Counts

2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z t) (- z a))
1.8b	(* 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:

7.0ms	(/ (- z t) (- z a))
13.0ms	(* y (/ (- z t) (- z a)))

series104.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(/ (- z t) (- z a))
60.0ms	(* y (/ (- z t) (- z a)))

simplify40.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 1 (9.0ms)

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

prune211.0ms

Filtered

108 candidates to 71 candidates (65.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	103	5	108
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	103	6	109

Merged error: 0b

Counts

109 → 6

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite13.0ms

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

series639.0ms

Counts

4 → 12

Calls

4 calls:

151.0ms	(cbrt (- z a))
148.0ms	(cbrt (- z t))
156.0ms	(cbrt (- z t))
184.0ms	(cbrt (- z t))

simplify162.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 4 (156.0ms)

Iter	Nodes	Cost
0	243	428
1	523	408
2	1374	396
3	4708	373
4	5001	365

prune252.0ms

Filtered

72 candidates to 60 candidates (83.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	72	0	72
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	72	6	78

Merged error: 0b

Counts

78 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (/ (- z t) (- z a))) (cbrt (/ (- z t) (- z a))))
3.0b	(cbrt (/ (- z t) (- z a)))
3.0b	(cbrt (/ (- z t) (- z a)))
3.0b	(cbrt (/ (- z t) (- z a)))

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

333×	`*-un-lft-identity`
277×	`cbrt-prod`
273×	`add-sqr-sqrt`
229×	`times-frac`
106×	`distribute-lft-out--`
93×	`add-cube-cbrt`
78×	`difference-of-squares`
58×	`swap-sqr`
34×	`associate-r` `associate-l`
14×	`associate-/r/`
11×	`pow1`
9×	`pow1/3` `unswap-sqr`
7×	`cbrt-div` `flip3--` `flip--` `div-inv`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 276

Calls

4 calls:

37.0ms	(* (cbrt (/ (- z t) (- z a))) (cbrt (/ (- z t) (- z a))))
7.0ms	(cbrt (/ (- z t) (- z a)))
7.0ms	(cbrt (/ (- z t) (- z a)))
7.0ms	(cbrt (/ (- z t) (- z a)))

series540.0ms

Counts

4 → 12

Calls

4 calls:

154.0ms	(* (cbrt (/ (- z t) (- z a))) (cbrt (/ (- z t) (- z a))))
124.0ms	(cbrt (/ (- z t) (- z a)))
125.0ms	(cbrt (/ (- z t) (- z a)))
136.0ms	(cbrt (/ (- z t) (- z a)))

simplify105.0ms

Algorithm

egg-herbie

Counts

288 → 288

Iterations

Useful iterations: 3 (69.0ms)

Iter	Nodes	Cost
0	381	3471
1	1199	3405
2	4304	3218
3	5002	3212

prune656.0ms

Filtered

288 candidates to 176 candidates (61.1%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	288	0	288
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	288	6	294

Merged error: 0b

Counts

294 → 6

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(* y (- z t))
11.9b	(/ (* y (- z t)) (- z a))

rewrite16.0ms

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

series100.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(* y (- z t))
61.0ms	(/ (* y (- z t)) (- z a))

simplify35.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 1 (7.0ms)

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

prune97.0ms

Filtered

61 candidates to 38 candidates (62.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	60	1	61
Fresh	1	1	2
Picked	0	1	1
Done	2	1	3
Total	63	4	67

Merged error: 0b

Counts

67 → 4

regimes168.0ms

Accuracy

0% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 1.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	5
1	11	5

end0.0ms

sample559.0ms

Algorithm

intervals

Results

308.0ms	8746×	body	80	valid
0.0ms	1×	body	640	valid