Details

sample37.0ms

Algorithm

intervals

Results

21.0ms

494×

body

valid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	24	7
1	42	7
2	54	7
3	54	7

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: 30.8b

Counts

2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

19.2b	(/ (* z z) (* t t))
19.2b	(/ (* x x) (* y y))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-exp-log` `add-cbrt-cube`
8×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod`
2×	`pow1` `add-sqr-sqrt` `add-cube-cbrt` `frac-2neg` `-un-lft-identity` `times-frac` `clear-num` `associate-/r` `div-inv` `associate-/l*` `add-log-exp`

Counts

2 → 42

Calls

2 calls:

6.0ms	(/ (* z z) (* t t))
6.0ms	(/ (* x x) (* y y))

series54.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(/ (* z z) (* t t))
28.0ms	(/ (* x x) (* y y))

simplify31.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	285	248
1	1335	170
2	5001	160

prune104.0ms

Filtered

48 candidates to 26 candidates (54.2%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	38	10	48
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	39	10	49

Merged error: 3.2b

Counts

49 → 10

localize8.0ms

Local error

Found 2 expressions with local error:

0.3b	(* (/ x y) (/ x y))
19.2b	(/ (* z z) (* t t))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

42×	`add-sqr-sqrt`
41×	`times-frac`
30×	`add-cube-cbrt` `*-un-lft-identity`
26×	`add-exp-log` `add-cbrt-cube`
13×	`swap-sqr` `associate-r` `associate-l`
9×	`pow1`
8×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod`
5×	`div-inv`
4×	`unswap-sqr`
2×	`add-log-exp`
1×	`pow2` `frac-times` `frac-2neg` `pow-plus` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `associate-/r` `pow-sqr` `-commutative` `pow-prod-up` `associate-/l*`

Counts

2 → 88

Calls

2 calls:

9.0ms	(* (/ x y) (/ x y))
6.0ms	(/ (* z z) (* t t))

series53.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(* (/ x y) (/ x y))
25.0ms	(/ (* z z) (* t t))

simplify58.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	482	529
1	2387	434
2	5001	394

prune173.0ms

Filtered

94 candidates to 56 candidates (59.6%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	86	8	94
Fresh	4	5	9
Picked	1	0	1
Done	0	0	0
Total	91	13	104

Merged error: 0.1b

Counts

104 → 13

localize7.0ms

Local error

Found 2 expressions with local error:

0.3b	(* (/ x y) (/ x y))
0.3b	(* (/ z t) (/ z t))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

82×	`add-sqr-sqrt`
80×	`times-frac`
58×	`add-cube-cbrt` `*-un-lft-identity`
26×	`add-exp-log` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube`
16×	`pow1`
8×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
2×	`pow2` `frac-times` `pow-plus` `associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `*-commutative` `pow-prod-up` `add-log-exp`

Counts

2 → 134

Calls

2 calls:

9.0ms	(* (/ x y) (/ x y))
9.0ms	(* (/ z t) (/ z t))

series55.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(* (/ x y) (/ x y))
29.0ms	(* (/ z t) (/ z t))

simplify80.0ms

Algorithm

egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 2 (70.0ms)

Iter	Nodes	Cost
0	668	810
1	3378	698
2	5002	664

prune256.0ms

Filtered

140 candidates to 89 candidates (63.6%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	130	10	140
Fresh	5	7	12
Picked	1	0	1
Done	0	0	0
Total	136	17	153

Merged error: 0.0b

Counts

153 → 17

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (/ z t)) (cbrt (/ z t)))
8.0b	(cbrt (/ z t))
8.0b	(cbrt (/ z t))
8.0b	(cbrt (/ z t))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

103×	`cbrt-prod`
81×	`add-sqr-sqrt`
69×	`times-frac`
57×	`add-cube-cbrt` `*-un-lft-identity`
16×	`swap-sqr` `associate-r` `associate-l`
11×	`pow1`
9×	`pow1/3` `unswap-sqr`
7×	`cbrt-div` `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 → 144

Calls

4 calls:

11.0ms	(* (cbrt (/ z t)) (cbrt (/ z t)))
2.0ms	(cbrt (/ z t))
2.0ms	(cbrt (/ z t))
2.0ms	(cbrt (/ z t))

series267.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(* (cbrt (/ z t)) (cbrt (/ z t)))
61.0ms	(cbrt (/ z t))
58.0ms	(cbrt (/ z t))
62.0ms	(cbrt (/ z t))

simplify76.0ms

Algorithm

egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 3 (64.0ms)

Iter	Nodes	Cost
0	260	1109
1	902	1061
2	3525	1016
3	5001	992

prune416.0ms

Filtered

156 candidates to 119 candidates (76.3%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	154	2	156
Fresh	1	15	16
Picked	1	0	1
Done	0	0	0
Total	156	17	173

Merged error: 0.0b

Counts

173 → 17

regimes615.0ms

Accuracy

0% (0.7b remaining)

Error of 0.7b against oracle of 0.1b and baseline of 0.7b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	16
1	23	16

end0.0ms

sample1.1s

Algorithm

intervals

Results

710.0ms

15432×

body

valid