Details

sample22.0ms

Algorithm

intervals

Results

10.0ms

337×

body

valid

simplify138.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	14	4
1	25	4
2	58	4
3	96	4
4	131	4
5	155	4
6	179	4
7	310	4
8	643	4
9	1171	4
10	2482	4
11	3774	4
12	5002	4

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: 2.5b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (- y x) (/ z t)))
8.2b	(* (- y x) (/ z t))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
13×	`associate-r`
12×	`*-un-lft-identity`
10×	`add-cube-cbrt` `times-frac`
7×	`add-exp-log` `add-cbrt-cube`
5×	`associate-l`
4×	`pow1` `add-log-exp`
2×	`frac-times` `flip3--` `associate-*l/` `prod-exp` `flip--` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `flip3-+` `associate-r/` `div-exp` `pow-prod-down` `sum-log` `-commutative` `flip-+` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 49

Calls

2 calls:

3.0ms	(+ x (* (- y x) (/ z t)))
9.0ms	(* (- y x) (/ z t))

series85.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(+ x (* (- y x) (/ z t)))
50.0ms	(* (- y x) (/ z t))

simplify53.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	296	310
1	1245	287
2	5001	275

prune126.0ms

Filtered

55 candidates to 39 candidates (70.9%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	47	8	55
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	47	9	56

Merged error: 0.0b

Counts

56 → 9

localize15.0ms

Local error

Found 4 expressions with local error:

7.2b	(cbrt (* (- y x) (/ z t)))
8.2b	(* (- y x) (/ z t))
8.2b	(* (- y x) (/ z t))
8.2b	(* (- y x) (/ z t))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-sqr-sqrt`
39×	`associate-r`
34×	`*-un-lft-identity`
30×	`times-frac`
28×	`add-cube-cbrt`
19×	`add-exp-log` `add-cbrt-cube`
15×	`associate-l`
10×	`pow1`
8×	`frac-times` `flip3--` `associate-*l/` `flip--`
6×	`prod-exp` `cbrt-unprod` `unswap-sqr`
5×	`cbrt-div`
4×	`associate-*r/` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `pow-prod-down` `*-commutative` `div-inv` `distribute-lft-out--` `difference-of-squares`
1×	`cbrt-prod` `pow1/3`

Counts

4 → 128

Calls

4 calls:

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

series275.0ms

Counts

4 → 12

Calls

4 calls:

138.0ms	(cbrt (* (- y x) (/ z t)))
47.0ms	(* (- y x) (/ z t))
41.0ms	(* (- y x) (/ z t))
48.0ms	(* (- y x) (/ z t))

simplify58.0ms

Algorithm

egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	375	801
1	1475	729
2	5002	709

prune375.0ms

Filtered

140 candidates to 103 candidates (73.6%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	140	0	140
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	140	9	149

Merged error: 0.0b

Counts

149 → 9

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- y x) z)
0.0b	(+ x (/ (* (- y x) z) t))
5.7b	(/ (* (- y x) z) t)

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 57

Calls

3 calls:

6.0ms	(* (- y x) z)
4.0ms	(+ x (/ (* (- y x) z) t))
7.0ms	(/ (* (- y x) z) t)

series113.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(* (- y x) z)
42.0ms	(+ x (/ (* (- y x) z) t))
43.0ms	(/ (* (- y x) z) t)

simplify47.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	283	314
1	1117	267
2	5001	267

prune114.0ms

Filtered

66 candidates to 42 candidates (63.6%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	65	1	66
Fresh	1	5	6
Picked	0	1	1
Done	1	1	2
Total	67	8	75

Merged error: 0.0b

Counts

75 → 8

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (/ (- y x) (/ t z)))
8.0b	(/ (- y x) (/ t z))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

119×	`times-frac`
88×	`*-un-lft-identity`
86×	`add-sqr-sqrt`
58×	`add-cube-cbrt`
14×	`distribute-lft-out--` `difference-of-squares`
13×	`associate-/r*`
7×	`add-exp-log` `add-cbrt-cube` `div-inv`
5×	`associate-/l*`
4×	`add-log-exp`
3×	`cbrt-undiv` `div-exp`
2×	`pow1` `div-sub` `associate-/l/`
1×	`+-commutative` `associate-+r-` `flip3--` `frac-2neg` `flip3-+` `clear-num` `sum-log` `associate-/r/` `flip--` `flip-+` `distribute-lft-out`

Counts

2 → 114

Calls

2 calls:

17.0ms	(+ x (/ (- y x) (/ t z)))
8.0ms	(/ (- y x) (/ t z))

series80.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(+ x (/ (- y x) (/ t z)))
45.0ms	(/ (- y x) (/ t z))

simplify85.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (67.0ms)

Iter	Nodes	Cost
0	609	959
1	2199	914
2	5001	913

prune215.0ms

Filtered

120 candidates to 85 candidates (70.8%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	119	1	120
Fresh	3	2	5
Picked	0	1	1
Done	0	2	2
Total	122	6	128

Merged error: 0b

Counts

128 → 6

regimes193.0ms

Accuracy

-8.7% (2.0b remaining)

Error of 2.1b against oracle of 0.0b and baseline of 1.9b

bsearch63.0ms

Steps

Iters	Range		Point
7	1.9422704718487722e-80	3.9491361661737865e-79	3.721856593808868e-79
6	-6.743025818309041e+92	-9.316421477354923e+91	-1.00456365620558e+92

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	13
1	28	13

end0.0ms

sample613.0ms

Algorithm

intervals

Results

340.0ms

10614×

body

valid