Details

sample26.0ms

Algorithm

intervals

Results

13.0ms

385×

body

valid

simplify87.0ms

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

prune5.0ms

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

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

15×	`*-un-lft-identity`
7×	`associate-r`
6×	`associate-*r/`
5×	`add-sqr-sqrt`
4×	`flip3--` `frac-add` `flip--` `distribute-lft-out` `distribute-lft-out--`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-l` `add-cbrt-cube`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `add-log-exp` `unswap-sqr`

Counts

1 → 30

Calls

1 calls:

12.0ms

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

series45.0ms

Counts

1 → 3

Calls

1 calls:

45.0ms

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

simplify44.0ms

Algorithm

egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	298	214
1	1486	191
2	5003	191

prune68.0ms

Filtered

33 candidates to 22 candidates (66.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	32	1	33
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	32	3	35

Merged error: 0.0b

Counts

35 → 3

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite18.0ms

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:

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

series124.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(- (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)) (* d1 d1))
38.0ms	(- (* d1 d2) (* d1 d3))
37.0ms	(+ (- (* d1 d2) (* d1 d3)) (* d4 d1))

simplify37.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 2 (32.0ms)

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

prune117.0ms

Filtered

54 candidates to 40 candidates (74.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	53	1	54
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	53	4	57

Merged error: 0b

Counts

57 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(* d1 (+ (- d2 d3) (+ d4 d1)))
0.2b	(* (* d1 (+ (- d2 d3) (+ d4 d1))) d1)
4.0b	(* (* (* d1 (+ (- d2 d3) (+ d4 d1))) d1) (+ (- d2 d3) (- d4 d1)))
24.4b	(/ (* (* (* d1 (+ (- d2 d3) (+ d4 d1))) d1) (+ (- d2 d3) (- d4 d1))) (* d1 (+ (- d2 d3) (+ d4 d1))))

rewrite107.0ms

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:

11.0ms	(* d1 (+ (- d2 d3) (+ d4 d1)))
16.0ms	(* (* d1 (+ (- d2 d3) (+ d4 d1))) d1)
24.0ms	(* (* (* d1 (+ (- d2 d3) (+ d4 d1))) d1) (+ (- d2 d3) (- d4 d1)))
37.0ms	(/ (* (* (* d1 (+ (- d2 d3) (+ d4 d1))) d1) (+ (- d2 d3) (- d4 d1))) (* d1 (+ (- d2 d3) (+ d4 d1))))

series350.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(* d1 (+ (- d2 d3) (+ d4 d1)))
51.0ms	(* (* d1 (+ (- d2 d3) (+ d4 d1))) d1)
200.0ms	(* (* (* d1 (+ (- d2 d3) (+ d4 d1))) d1) (+ (- d2 d3) (- d4 d1)))
54.0ms	(/ (* (* (* d1 (+ (- d2 d3) (+ d4 d1))) d1) (+ (- d2 d3) (- d4 d1))) (* d1 (+ (- d2 d3) (+ d4 d1))))

simplify79.0ms

Algorithm

egg-herbie

Counts

224 → 224

Iterations

Useful iterations: 1 (40.0ms)

Iter	Nodes	Cost
0	1690	4080
1	5002	3884

prune1.0s

Filtered

224 candidates to 184 candidates (82.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	224	0	224
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	224	4	228

Merged error: 0b

Counts

228 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- d2 d3) (- d2 d3))
5.0b	(- (* (- d2 d3) (- d2 d3)) (* (- d4 d1) (- d4 d1)))
11.8b	(* d1 (- (* (- d2 d3) (- d2 d3)) (* (- d4 d1) (- d4 d1))))
26.6b	(/ (* d1 (- (* (- d2 d3) (- d2 d3)) (* (- d4 d1) (- d4 d1)))) (- (- d2 d3) (- d4 d1)))

rewrite120.0ms

Algorithm

rewrite-expression-head

Rules

302×	`flip3--` `flip--`
230×	`associate-*r/`
196×	`frac-times` `frac-sub`
98×	`associate-*l/`
66×	`associate-/l/`
50×	`*-un-lft-identity`
28×	`add-sqr-sqrt`
22×	`distribute-lft-out--`
16×	`distribute-rgt-in` `distribute-lft-in`
13×	`pow1` `add-exp-log` `sub-neg` `add-cbrt-cube`
12×	`add-cube-cbrt` `associate--l+`
9×	`associate-r`
8×	`times-frac` `associate-l` `associate-/r*` `difference-of-squares`
7×	`swap-sqr`
6×	`associate-/r/` `add-log-exp`
4×	`associate--r+`
3×	`prod-exp` `cbrt-unprod`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `*-commutative` `unswap-sqr`
1×	`pow2` `frac-2neg` `pow-plus` `diff-log` `clear-num` `pow-sqr` `pow-prod-up` `div-inv` `associate-/l*`

Counts

4 → 330

Calls

4 calls:

9.0ms	(* (- d2 d3) (- d2 d3))
15.0ms	(- (* (- d2 d3) (- d2 d3)) (* (- d4 d1) (- d4 d1)))
22.0ms	(* d1 (- (* (- d2 d3) (- d2 d3)) (* (- d4 d1) (- d4 d1))))
39.0ms	(/ (* d1 (- (* (- d2 d3) (- d2 d3)) (* (- d4 d1) (- d4 d1)))) (- (- d2 d3) (- d4 d1)))

series527.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(* (- d2 d3) (- d2 d3))
159.0ms	(- (* (- d2 d3) (- d2 d3)) (* (- d4 d1) (- d4 d1)))
201.0ms	(* d1 (- (* (- d2 d3) (- d2 d3)) (* (- d4 d1) (- d4 d1))))
145.0ms	(/ (* d1 (- (* (- d2 d3) (- d2 d3)) (* (- d4 d1) (- d4 d1)))) (- (- d2 d3) (- d4 d1)))

simplify90.0ms

Algorithm

egg-herbie

Counts

342 → 342

Iterations

Useful iterations: 1 (36.0ms)

Iter	Nodes	Cost
0	1762	6326
1	5003	6200

prune1.1s

Filtered

342 candidates to 214 candidates (62.6%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	342	0	342
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	342	4	346

Merged error: 0b

Counts

346 → 4

regimes96.0ms

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	10	4
1	10	4

end0.0ms

sample736.0ms

Algorithm

intervals

Results

433.0ms

11978×

body

valid