Details

sample20.0ms

Algorithm

intervals

Results

8.0ms

331×

body

valid

simplify107.0ms

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: 6.7b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (* (- y x) z) t))
0.0b	(* (- y x) z)
6.6b	(/ (* (- 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)

series108.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(+ x (/ (* (- y x) z) t))
31.0ms	(* (- y x) z)
42.0ms	(/ (* (- y x) z) t)

simplify37.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 1 (9.0ms)

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

prune123.0ms

Filtered

66 candidates to 45 candidates (68.2%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	57	9	66
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	58	9	67

Merged error: 0.0b

Counts

67 → 9

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (- y x) (/ z t)))
5.2b	(* (- 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)))
10.0ms	(* (- y x) (/ z t))

series78.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(+ x (* (- y x) (/ z t)))
44.0ms	(* (- y x) (/ z t))

simplify37.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 2 (32.0ms)

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

prune106.0ms

Filtered

55 candidates to 36 candidates (65.5%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	52	3	55
Fresh	1	7	8
Picked	1	0	1
Done	0	0	0
Total	54	10	64

Merged error: 0.0b

Counts

64 → 10

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (/ (- y x) (/ t z)))
5.5b	(/ (- y x) (/ t z))

rewrite36.0ms

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:

19.0ms	(+ x (/ (- y x) (/ t z)))
9.0ms	(/ (- y x) (/ t z))

series76.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(+ x (/ (- y x) (/ t z)))
42.0ms	(/ (- y x) (/ t z))

simplify61.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (47.0ms)

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

prune228.0ms

Filtered

120 candidates to 86 candidates (71.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	116	4	120
Fresh	6	3	9
Picked	0	1	1
Done	0	0	0
Total	122	8	130

Merged error: 0.0b

Counts

130 → 8

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ 1 (/ (/ t z) (- y x))))
0.8b	(/ 1 (/ (/ t z) (- y x)))
5.3b	(/ (/ t z) (- y x))

rewrite118.0ms

Algorithm

rewrite-expression-head

Rules

772×	`times-frac`
462×	`*-un-lft-identity`
459×	`add-sqr-sqrt`
327×	`add-cube-cbrt`
76×	`associate-/r*`
66×	`distribute-lft-out--` `difference-of-squares`
33×	`div-inv`
29×	`add-exp-log`
18×	`div-exp`
17×	`add-cbrt-cube`
16×	`associate-/l*`
11×	`associate-/r/`
9×	`cbrt-undiv`
5×	`flip3--` `flip--` `add-log-exp`
4×	`pow1`
3×	`rec-exp` `1-exp`
2×	`frac-2neg` `clear-num` `distribute-lft-out`
1×	`+-commutative` `pow-flip` `flip3-+` `sum-log` `flip-+` `associate-/l/` `inv-pow`

Counts

3 → 425

Calls

3 calls:

55.0ms	(+ x (/ 1 (/ (/ t z) (- y x))))
19.0ms	(/ 1 (/ (/ t z) (- y x)))
11.0ms	(/ (/ t z) (- y x))

series133.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(+ x (/ 1 (/ (/ t z) (- y x))))
52.0ms	(/ 1 (/ (/ t z) (- y x)))
44.0ms	(/ (/ t z) (- y x))

simplify76.0ms

Algorithm

egg-herbie

Counts

434 → 434

Iterations

Useful iterations: 1 (33.0ms)

Iter	Nodes	Cost
0	1413	4515
1	5001	3668

prune518.0ms

Filtered

434 candidates to 201 candidates (46.3%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	434	0	434
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	434	8	442

Merged error: 0.0b

Counts

442 → 8

regimes112.0ms

Accuracy

0% (1.6b remaining)

Error of 1.7b against oracle of 0.0b and baseline of 1.7b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	4
1	9	4

end0.0ms

sample549.0ms

Algorithm

intervals

Results

275.0ms

10619×

body

valid