Details

sample49.0ms

Algorithm

intervals

Results

35.0ms

375×

body

valid

simplify90.0ms

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

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite61.0ms

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:

59.0ms

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

series48.0ms

Counts

1 → 3

Calls

1 calls:

48.0ms

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

simplify46.0ms

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

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite74.0ms

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:

2.0ms	(- (* d1 d2) (* d1 d3))
60.0ms	(- (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)) (* d1 d1))
11.0ms	(+ (- (* d1 d2) (* d1 d3)) (* d4 d1))

series124.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(- (* d1 d2) (* d1 d3))
53.0ms	(- (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)) (* d1 d1))
36.0ms	(+ (- (* d1 d2) (* d1 d3)) (* d4 d1))

simplify39.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 2 (34.0ms)

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

prune121.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt d1) (cbrt d1))
0.7b	(cbrt d1)
0.7b	(cbrt d1)
0.7b	(cbrt d1)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 73

Calls

4 calls:

5.0ms	(* (cbrt d1) (cbrt d1))
0.0ms	(cbrt d1)
0.0ms	(cbrt d1)
1.0ms	(cbrt d1)

series730.0ms

Counts

4 → 12

Calls

4 calls:

203.0ms	(* (cbrt d1) (cbrt d1))
178.0ms	(cbrt d1)
172.0ms	(cbrt d1)
177.0ms	(cbrt d1)

simplify96.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (90.0ms)

Iter	Nodes	Cost
0	115	288
1	472	261
2	2959	238
3	5003	235

prune211.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize17.0ms

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)))
22.3b	(/ (* (* d1 (- (- d2 d3) d4)) (* d1 (+ (- d2 d3) d4))) (* d1 (- (- d2 d3) d4)))

rewrite260.0ms

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:

40.0ms	(* d1 (- (- d2 d3) d4))
38.0ms	(* d1 (+ (- d2 d3) d4))
80.0ms	(* (* d1 (- (- d2 d3) d4)) (* d1 (+ (- d2 d3) d4)))
96.0ms	(/ (* (* d1 (- (- d2 d3) d4)) (* d1 (+ (- d2 d3) d4))) (* d1 (- (- d2 d3) d4)))

series220.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(* d1 (- (- d2 d3) d4))
32.0ms	(* d1 (+ (- d2 d3) d4))
122.0ms	(* (* d1 (- (- d2 d3) d4)) (* d1 (+ (- d2 d3) d4)))
33.0ms	(/ (* (* d1 (- (- d2 d3) d4)) (* d1 (+ (- d2 d3) d4))) (* d1 (- (- d2 d3) d4)))

simplify165.0ms

Algorithm

egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 1 (24.0ms)

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

prune281.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes115.0ms

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

sample1.5s

Algorithm

intervals

Results

1.1s

11896×

body

valid