Details

sample27.0ms

Algorithm

intervals

Results

13.0ms

406×

body

valid

simplify85.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	25	6
1	69	5
2	195	4
3	461	4
4	969	4
5	1760	4
6	2455	4
7	3258	4
8	3451	4
9	3451	4

prune6.0ms

Filtered

1 candidates to 1 candidates (100.0%)

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: 0.0b

Counts

2 → 2

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (- (* d1 d2) (* d1 d3)) (* d4 d1))
0.0b	(- (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)) (* d1 d1))
0.0b	(- (* d1 d2) (* d1 d3))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-log-exp`
6×	`diff-log`
4×	`add-sqr-sqrt` `sum-log`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `sub-neg` `*-un-lft-identity` `add-cbrt-cube`
2×	`associate-+l-` `associate-+l+` `flip3--` `flip--`
1×	`+-commutative` `associate--l-` `flip3-+` `associate--l+` `flip-+` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 45

Calls

3 calls:

6.0ms	(+ (- (* d1 d2) (* d1 d3)) (* d4 d1))
8.0ms	(- (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)) (* d1 d1))
3.0ms	(- (* d1 d2) (* d1 d3))

series131.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(+ (- (* d1 d2) (* d1 d3)) (* d4 d1))
51.0ms	(- (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)) (* d1 d1))
41.0ms	(- (* d1 d2) (* d1 d3))

simplify37.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	256	378
1	1060	326
2	5001	293

prune106.0ms

Filtered

54 candidates to 40 candidates (74.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	52	2	54
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	52	4	56

Merged error: 0b

Counts

56 → 4

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (- d2 d3) (- d4 d1))
0.0b	(* d1 (+ (- d2 d3) (- d4 d1)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

28×	`*-un-lft-identity`
14×	`add-log-exp`
8×	`flip3--` `frac-add` `flip--` `distribute-lft-out` `distribute-lft-out--`
7×	`associate-r`
6×	`add-sqr-sqrt` `associate-*r/`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `diff-log` `sum-log` `add-cbrt-cube`
3×	`associate-l`
2×	`sub-neg` `associate-+l+` `associate-+r+` `flip3-+` `flip-+`
1×	`+-commutative` `distribute-rgt-in` `associate-+l-` `associate-+r-` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 58

Calls

2 calls:

10.0ms	(+ (- d2 d3) (- d4 d1))
12.0ms	(* d1 (+ (- d2 d3) (- d4 d1)))

series79.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(+ (- d2 d3) (- d4 d1))
49.0ms	(* d1 (+ (- d2 d3) (- d4 d1)))

simplify50.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	391	410
1	1841	378
2	5002	378

prune107.0ms

Filtered

64 candidates to 42 candidates (65.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	64	4	68

Merged error: 0b

Counts

68 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (- (* d1 d2) (* d1 d3)) (* d4 d1))) (cbrt (+ (- (* d1 d2) (* d1 d3)) (* d4 d1))))
1.5b	(cbrt (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)))
1.5b	(cbrt (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)))
1.5b	(cbrt (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 87

Calls

4 calls:

15.0ms	(* (cbrt (+ (- (* d1 d2) (* d1 d3)) (* d4 d1))) (cbrt (+ (- (* d1 d2) (* d1 d3)) (* d4 d1))))
5.0ms	(cbrt (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)))
5.0ms	(cbrt (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)))
5.0ms	(cbrt (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)))

series470.0ms

Counts

4 → 12

Calls

4 calls:

136.0ms	(* (cbrt (+ (- (* d1 d2) (* d1 d3)) (* d4 d1))) (cbrt (+ (- (* d1 d2) (* d1 d3)) (* d4 d1))))
109.0ms	(cbrt (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)))
109.0ms	(cbrt (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)))
115.0ms	(cbrt (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)))

simplify94.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 3 (82.0ms)

Iter	Nodes	Cost
0	268	1395
1	907	1299
2	3766	1182
3	5002	1171

prune255.0ms

Filtered

99 candidates to 78 candidates (78.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	99	4	103

Merged error: 0b

Counts

103 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(* d1 (+ (- d2 d3) (+ d4 d1)))
0.1b	(* (* d1 (+ (- d2 d3) (+ d4 d1))) d1)
4.2b	(* (* (* d1 (+ (- d2 d3) (+ d4 d1))) d1) (+ (- d2 d3) (- d4 d1)))
24.8b	(/ (* (* (* d1 (+ (- d2 d3) (+ d4 d1))) d1) (+ (- d2 d3) (- d4 d1))) (* d1 (+ (- d2 d3) (+ d4 d1))))

rewrite111.0ms

Algorithm

rewrite-expression-head

Rules

124×	`frac-add`
114×	`associate-*r/`
102×	`associate-*l/`
90×	`flip3--` `flip--`
72×	`frac-times`
65×	`flip3-+` `flip-+`
52×	`add-exp-log` `add-cbrt-cube`
48×	`associate-/l/`
32×	`*-un-lft-identity`
26×	`prod-exp` `cbrt-unprod`
20×	`pow1`
17×	`associate-r`
10×	`add-sqr-sqrt` `pow-prod-down` `distribute-lft-out`
8×	`cbrt-undiv` `add-cube-cbrt` `div-exp`
6×	`associate-/r/` `distribute-lft-out--`
5×	`associate-l`
4×	`add-log-exp`
3×	`*-commutative`
2×	`distribute-rgt-in` `distribute-lft-in`
1×	`frac-2neg` `times-frac` `clear-num` `associate-/r` `div-inv` `associate-/l` `unswap-sqr`

Counts

4 → 212

Calls

4 calls:

12.0ms	(* d1 (+ (- d2 d3) (+ d4 d1)))
14.0ms	(* (* d1 (+ (- d2 d3) (+ d4 d1))) d1)
27.0ms	(* (* (* d1 (+ (- d2 d3) (+ d4 d1))) d1) (+ (- d2 d3) (- d4 d1)))
38.0ms	(/ (* (* (* d1 (+ (- d2 d3) (+ d4 d1))) d1) (+ (- d2 d3) (- d4 d1))) (* d1 (+ (- d2 d3) (+ d4 d1))))

series356.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(* d1 (+ (- d2 d3) (+ d4 d1)))
50.0ms	(* (* d1 (+ (- d2 d3) (+ d4 d1))) d1)
192.0ms	(* (* (* d1 (+ (- d2 d3) (+ d4 d1))) d1) (+ (- d2 d3) (- d4 d1)))
52.0ms	(/ (* (* (* d1 (+ (- d2 d3) (+ d4 d1))) d1) (+ (- d2 d3) (- d4 d1))) (* d1 (+ (- d2 d3) (+ d4 d1))))

simplify88.0ms

Algorithm

egg-herbie

Counts

224 → 224

Iterations

Useful iterations: 1 (39.0ms)

Iter	Nodes	Cost
0	1690	4080
1	5002	3884

prune949.0ms

Filtered

224 candidates to 184 candidates (82.1%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	224	0	224
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	224	4	228

Merged error: 0b

Counts

228 → 4

regimes102.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	7
1	15	7

end0.0ms

sample694.0ms

Algorithm

intervals

Results

404.0ms

11971×

body

valid