Details

sample31.0ms

Algorithm

intervals

Results

18.0ms

378×

body

valid

simplify91.0ms

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

localize10.0ms

Local error

Found 3 expressions with local error:

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

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))
5.0ms	(+ (- (* d1 d2) (* d1 d3)) (* d4 d1))
3.0ms	(- (* d1 d2) (* d1 d3))

series129.0ms

Counts

3 → 9

Calls

3 calls:

54.0ms	(- (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)) (* d1 d1))
35.0ms	(+ (- (* d1 d2) (* d1 d3)) (* d4 d1))
39.0ms	(- (* 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

prune96.0ms

Filtered

54 candidates to 40 candidates (74.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	53	1	54
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	53	3	56

Merged error: 0.0b

Counts

56 → 3

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite12.0ms

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:

11.0ms

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

series45.0ms

Counts

1 → 3

Calls

1 calls:

44.0ms

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

simplify41.0ms

Algorithm

egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 1 (8.0ms)

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

prune56.0ms

Filtered

33 candidates to 22 candidates (66.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	33	0	33
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	33	3	36

Merged error: 0.0b

Counts

36 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (cbrt (pow (* d1 (- d2 d3)) 3)) (* d4 d1))
0.0b	(* d1 (- d2 d3))
0.3b	(pow (* d1 (- d2 d3)) 3)
30.9b	(cbrt (pow (* d1 (- d2 d3)) 3))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
10×	`*-un-lft-identity`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`cbrt-prod` `add-cube-cbrt`
6×	`associate-*r/` `add-log-exp`
5×	`associate-r`
4×	`cube-div`
3×	`pow-unpow` `flip3--` `associate-l` `flip--`
2×	`distribute-rgt-in` `cube-mult` `sub-neg` `unpow-prod-down` `cbrt-div` `pow-pow` `distribute-lft-in` `unpow3` `cube-prod` `pow-prod-down` `pow-exp` `prod-exp` `cbrt-unprod` `rem-cube-cbrt` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `flip3-+` `pow1/3` `sum-log` `*-commutative` `rem-cbrt-cube` `flip-+` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 80

Calls

4 calls:

6.0ms	(+ (cbrt (pow (* d1 (- d2 d3)) 3)) (* d4 d1))
6.0ms	(* d1 (- d2 d3))
9.0ms	(pow (* d1 (- d2 d3)) 3)
3.0ms	(cbrt (pow (* d1 (- d2 d3)) 3))

series204.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(+ (cbrt (pow (* d1 (- d2 d3)) 3)) (* d4 d1))
33.0ms	(* d1 (- d2 d3))
56.0ms	(pow (* d1 (- d2 d3)) 3)
51.0ms	(cbrt (pow (* d1 (- d2 d3)) 3))

simplify56.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	349	439
1	1788	386
2	5002	381

prune170.0ms

Filtered

92 candidates to 64 candidates (69.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	92	0	92
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	92	3	95

Merged error: 0.0b

Counts

95 → 3

regimes87.0ms

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

sample774.0ms

Algorithm

intervals

Results

477.0ms

11993×

body

valid

Details

sample31.0ms

simplify91.0ms

prune6.0ms

localize10.0ms

rewrite18.0ms

series129.0ms

simplify37.0ms

prune96.0ms

localize9.0ms

rewrite12.0ms

series45.0ms

simplify41.0ms

prune56.0ms

localize11.0ms

rewrite26.0ms

series204.0ms

simplify56.0ms

prune170.0ms

regimes87.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample774.0ms

Profiling