Details

sample23.0ms

Algorithm

intervals

Results

11.0ms

359×

body

valid

simplify103.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	4
1	28	4
2	48	4
3	79	4
4	121	4
5	149	4
6	218	4
7	320	4
8	396	4
9	599	4
10	893	4
11	1278	4
12	2173	4
13	3754	4
14	5001	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: 8.5b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (* (- y x) z) t))
0.0b	(* (- y x) z)
8.5b	(/ (* (- y x) z) t)

rewrite19.0ms

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:

5.0ms	(+ x (/ (* (- y x) z) t))
6.0ms	(* (- y x) z)
7.0ms	(/ (* (- y x) z) t)

series110.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(+ x (/ (* (- y x) z) t))
29.0ms	(* (- y x) z)
46.0ms	(/ (* (- y x) z) t)

simplify34.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 1 (8.0ms)

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

prune147.0ms

Filtered

66 candidates to 45 candidates (68.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	61	5	66
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	61	6	67

Merged error: 0.0b

Counts

67 → 6

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (- y x) (/ z t)))
5.6b	(* (- 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))

series80.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(+ x (* (- y x) (/ z t)))
42.0ms	(* (- y x) (/ z t))

simplify35.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 2 (30.0ms)

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

prune92.0ms

Filtered

55 candidates to 38 candidates (69.1%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	53	2	55
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	54	7	61

Merged error: 0b

Counts

61 → 7

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (/ (- y x) (/ t z)))
5.8b	(/ (- y x) (/ t z))

rewrite37.0ms

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:

22.0ms	(+ x (/ (- y x) (/ t z)))
9.0ms	(/ (- y x) (/ t z))

series80.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(+ x (/ (- y x) (/ t z)))
42.0ms	(/ (- y x) (/ t z))

simplify53.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (42.0ms)

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

prune212.0ms

Filtered

120 candidates to 85 candidates (70.8%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	119	1	120
Fresh	3	1	4
Picked	0	1	1
Done	0	2	2
Total	122	5	127

Merged error: 0b

Counts

127 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt z)
2.8b	(/ (- y x) (/ t (cbrt z)))
4.1b	(* (* (cbrt z) (cbrt z)) (/ (- y x) (/ t (cbrt z))))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

423×	`times-frac`
294×	`add-sqr-sqrt`
285×	`*-un-lft-identity`
195×	`add-cube-cbrt`
115×	`associate-r`
106×	`cbrt-prod`
45×	`distribute-lft-out--` `difference-of-squares`
30×	`add-exp-log`
22×	`associate-/r*`
21×	`add-cbrt-cube`
13×	`div-inv`
9×	`pow1` `cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod`
5×	`associate-/l*`
4×	`add-log-exp` `unswap-sqr`
3×	`pow-prod-down`
2×	`pow1/3` `associate-/r/` `associate-/l/`
1×	`flip3--` `frac-2neg` `div-sub` `associate-r/` `associate-l` `clear-num` `-commutative` `flip--`

Counts

4 → 320

Calls

4 calls:

1.0ms	(cbrt z)
1.0ms	(cbrt z)
11.0ms	(/ (- y x) (/ t (cbrt z)))
38.0ms	(* (* (cbrt z) (cbrt z)) (/ (- y x) (/ t (cbrt z))))

series595.0ms

Counts

4 → 12

Calls

4 calls:

183.0ms	(cbrt z)
177.0ms	(cbrt z)
150.0ms	(/ (- y x) (/ t (cbrt z)))
85.0ms	(* (* (cbrt z) (cbrt z)) (/ (- y x) (/ t (cbrt z))))

simplify64.0ms

Algorithm

egg-herbie

Counts

332 → 332

Iterations

Useful iterations: 1 (33.0ms)

Iter	Nodes	Cost
0	1360	3309
1	5001	2999

prune860.0ms

Filtered

332 candidates to 257 candidates (77.4%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	332	0	332
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	332	5	337

Merged error: 0b

Counts

337 → 5

regimes107.0ms

Accuracy

0% (1.9b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	4
1	10	4

end0.0ms

sample591.0ms

Algorithm

intervals

Results

324.0ms

10676×

body

valid