Details

sample27.0ms

Algorithm

intervals

Results

11.0ms

377×

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

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

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))

rewrite175.0ms

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))
139.0ms	(- (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)) (* d1 d1))
28.0ms	(+ (- (* d1 d2) (* d1 d3)) (* d4 d1))

series132.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(- (* d1 d2) (* d1 d3))
56.0ms	(- (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)) (* d1 d1))
39.0ms	(+ (- (* 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

prune111.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite110.0ms

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:

109.0ms

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

series50.0ms

Counts

1 → 3

Calls

1 calls:

50.0ms

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

simplify43.0ms

Algorithm

egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 1 (9.0ms)

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

prune63.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (/ (* (pow d1 2) (- (* d2 d2) (* d3 d3))) (* d1 (+ d2 d3))) (* d4 d1))
2.3b	(- (* d2 d2) (* d3 d3))
18.6b	(* (pow d1 2) (- (* d2 d2) (* d3 d3)))
24.9b	(/ (* (pow d1 2) (- (* d2 d2) (* d3 d3))) (* d1 (+ d2 d3)))

rewrite107.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-exp-log`
18×	`add-cbrt-cube`
13×	`add-sqr-sqrt` `prod-exp`
8×	`div-exp` `associate-l` `add-log-exp`
7×	`add-cube-cbrt` `*-un-lft-identity`
6×	`associate-*r/`
5×	`cbrt-unprod`
4×	`pow1` `cbrt-undiv` `unpow-prod-down` `associate-r` `unswap-sqr`
3×	`pow-to-exp` `sub-neg` `flip3--` `pow-exp` `flip--`
2×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `associate-/r/` `flip-+` `associate-/l/` `unpow2` `difference-of-squares` `sqr-pow`
1×	`+-commutative` `frac-2neg` `times-frac` `diff-log` `clear-num` `associate-/r` `sum-log` `-commutative` `div-inv` `associate-/l*`

Counts

4 → 87

Calls

4 calls:

34.0ms	(+ (/ (* (pow d1 2) (- (* d2 d2) (* d3 d3))) (* d1 (+ d2 d3))) (* d4 d1))
8.0ms	(- (* d2 d2) (* d3 d3))
31.0ms	(* (pow d1 2) (- (* d2 d2) (* d3 d3)))
31.0ms	(/ (* (pow d1 2) (- (* d2 d2) (* d3 d3))) (* d1 (+ d2 d3)))

series266.0ms

Counts

4 → 12

Calls

4 calls:

87.0ms	(+ (/ (* (pow d1 2) (- (* d2 d2) (* d3 d3))) (* d1 (+ d2 d3))) (* d4 d1))
31.0ms	(- (* d2 d2) (* d3 d3))
73.0ms	(* (pow d1 2) (- (* d2 d2) (* d3 d3)))
76.0ms	(/ (* (pow d1 2) (- (* d2 d2) (* d3 d3))) (* d1 (+ d2 d3)))

simplify87.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	501	876
1	2954	740
2	5001	740

prune233.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes94.0ms

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

sample761.0ms

Algorithm

intervals

Results

359.0ms

11803×

body

valid