Details

sample25.0ms

Algorithm

intervals

Results

12.0ms

378×

body

valid

simplify81.0ms

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 2 expressions with local error:

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

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
2×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `sub-neg` `associate-+l+` `*-un-lft-identity` `diff-log` `sum-log` `add-cbrt-cube`
1×	`+-commutative` `associate-+l-` `flip3--` `flip3-+` `flip--` `flip-+` `distribute-lft-out--`

Counts

2 → 28

Calls

2 calls:

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

series75.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify87.0ms

Algorithm

egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 2 (22.0ms)

Iter	Nodes	Cost
0	175	199
1	664	168
2	3104	154
3	5001	154

prune61.0ms

Filtered

34 candidates to 25 candidates (73.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	32	2	34
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	33	3	36

Merged error: 0.0b

Counts

36 → 3

localize10.0ms

Local error

Found 1 expressions with local error:

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

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 24

Calls

1 calls:

8.0ms

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

series32.0ms

Counts

1 → 3

Calls

1 calls:

32.0ms

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

simplify72.0ms

Algorithm

egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	143	118
1	633	100
2	3264	100
3	5002	100

prune41.0ms

Filtered

27 candidates to 17 candidates (63.0%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	26	1	27
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	26	4	30

Merged error: 0.0b

Counts

30 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(* d1 (- (- d2 d3) d4))
0.0b	(* d1 (+ (- d2 d3) d4))
0.3b	(* (* d1 (- (- d2 d3) d4)) (* d1 (+ (- d2 d3) d4)))
21.4b	(/ (* (* d1 (- (- d2 d3) d4)) (* d1 (+ (- d2 d3) d4))) (* d1 (- (- d2 d3) d4)))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

61×	`add-exp-log` `add-cbrt-cube`
34×	`associate-*r/`
31×	`prod-exp` `cbrt-unprod`
20×	`pow1`
18×	`*-un-lft-identity`
14×	`add-sqr-sqrt`
12×	`associate-r`
10×	`cbrt-undiv` `div-exp` `pow-prod-down`
9×	`distribute-rgt-in` `distribute-lft-in`
8×	`frac-times` `add-cube-cbrt` `flip3--` `flip--` `associate-/l/`
7×	`flip3-+` `associate-l` `flip-+`
4×	`sub-neg` `associate-*l/` `associate--l+` `distribute-lft-out--` `add-log-exp`
3×	`*-commutative`
2×	`associate-/r/` `distribute-lft-out` `unswap-sqr`
1×	`frac-2neg` `times-frac` `clear-num` `associate-/r` `div-inv` `associate-/l` `difference-of-squares`

Counts

4 → 132

Calls

4 calls:

11.0ms	(* d1 (- (- d2 d3) d4))
9.0ms	(* d1 (+ (- d2 d3) d4))
16.0ms	(* (* d1 (- (- d2 d3) d4)) (* d1 (+ (- d2 d3) d4)))
26.0ms	(/ (* (* d1 (- (- d2 d3) d4)) (* d1 (+ (- d2 d3) d4))) (* d1 (- (- d2 d3) d4)))

series216.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(* d1 (- (- d2 d3) d4))
34.0ms	(* d1 (+ (- d2 d3) d4))
115.0ms	(* (* d1 (- (- d2 d3) d4)) (* d1 (+ (- d2 d3) d4)))
33.0ms	(/ (* (* d1 (- (- d2 d3) d4)) (* d1 (+ (- d2 d3) d4))) (* d1 (- (- d2 d3) d4)))

simplify158.0ms

Algorithm

egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 1 (21.0ms)

Iter	Nodes	Cost
0	672	1485
1	4807	872
2	5002	872

prune216.0ms

Filtered

144 candidates to 81 candidates (56.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	144	0	144
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	144	4	148

Merged error: 0.0b

Counts

148 → 4

localize10.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (sqrt d1) (+ (- d2 d3) d4))
0.2b	(* (sqrt d1) (* (sqrt d1) (+ (- d2 d3) d4)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 55

Calls

2 calls:

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

series136.0ms

Counts

2 → 6

Calls

2 calls:

83.0ms	(* (sqrt d1) (+ (- d2 d3) d4))
52.0ms	(* (sqrt d1) (* (sqrt d1) (+ (- d2 d3) d4)))

simplify35.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	248	354
1	1147	295
2	5001	289

prune96.0ms

Filtered

61 candidates to 40 candidates (65.6%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	60	1	61
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	60	5	65

Merged error: 0b

Counts

65 → 5

regimes110.0ms

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

sample678.0ms

Algorithm

intervals

Results

397.0ms

11756×

body

valid