Details

sample25.0ms

Algorithm

intervals

Results

12.0ms

376×

body

valid

simplify86.0ms

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

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite78.0ms

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:

18.0ms	(+ (- d2 d3) (- d4 d1))
58.0ms	(* d1 (+ (- d2 d3) (- d4 d1)))

series80.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify51.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 1 (10.0ms)

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

prune128.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite14.0ms

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

series77.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(- (* d1 d2) (* d1 d3))
36.0ms	(+ (- (* d1 d2) (* d1 d3)) (* d4 d1))

simplify88.0ms

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

prune73.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- d4 d1) (- d4 d1))
6.4b	(- (* (- d2 d3) (- d2 d3)) (* (- d4 d1) (- d4 d1)))
13.0b	(* d1 (- (* (- d2 d3) (- d2 d3)) (* (- d4 d1) (- d4 d1))))
23.4b	(/ (* d1 (- (* (- d2 d3) (- d2 d3)) (* (- d4 d1) (- d4 d1)))) (- (- d2 d3) (- d4 d1)))

rewrite186.0ms

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:

19.0ms	(* (- d4 d1) (- d4 d1))
16.0ms	(- (* (- d2 d3) (- d2 d3)) (* (- d4 d1) (- d4 d1)))
56.0ms	(* d1 (- (* (- d2 d3) (- d2 d3)) (* (- d4 d1) (- d4 d1))))
67.0ms	(/ (* d1 (- (* (- d2 d3) (- d2 d3)) (* (- d4 d1) (- d4 d1)))) (- (- d2 d3) (- d4 d1)))

series528.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(* (- d4 d1) (- d4 d1))
163.0ms	(- (* (- d2 d3) (- d2 d3)) (* (- d4 d1) (- d4 d1)))
197.0ms	(* d1 (- (* (- d2 d3) (- d2 d3)) (* (- d4 d1) (- d4 d1))))
151.0ms	(/ (* d1 (- (* (- d2 d3) (- d2 d3)) (* (- d4 d1) (- d4 d1)))) (- (- d2 d3) (- d4 d1)))

simplify91.0ms

Algorithm

egg-herbie

Counts

342 → 342

Iterations

Useful iterations: 1 (34.0ms)

Iter	Nodes	Cost
0	1774	6326
1	5002	6200

prune1.1s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes90.0ms

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

sample686.0ms

Algorithm

intervals

Results

395.0ms

11955×

body

valid