Details

sample23.0ms

Algorithm

intervals

Results

10.0ms

375×

body

valid

simplify89.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	14	4
1	28	4
2	80	4
3	254	4
4	641	4
5	1066	4
6	2373	4
7	3914	4
8	5001	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (- y z) (- t x)))
0.0b	(* (- y z) (- t x))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 49

Calls

2 calls:

4.0ms	(+ x (* (- y z) (- t x)))
9.0ms	(* (- y z) (- t x))

series94.0ms

Counts

2 → 6

Calls

2 calls:

53.0ms	(+ x (* (- y z) (- t x)))
41.0ms	(* (- y z) (- t x))

simplify39.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	290	310
1	1174	292
2	5001	291

prune121.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* t (- y z)))
0.0b	(* (- x) (- y z))
0.0b	(* t (- y z))
0.0b	(+ (+ x (* t (- y z))) (* (- x) (- y z)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
14×	`*-un-lft-identity`
13×	`associate-l`
11×	`add-log-exp`
10×	`add-cube-cbrt` `associate-r`
8×	`pow1` `add-exp-log` `distribute-rgt-in` `sub-neg` `associate-+r+` `distribute-lft-in` `associate-*r/` `add-cbrt-cube`
4×	`flip3--` `flip3-+` `frac-add` `sum-log` `flip--` `flip-+`
3×	`distribute-lft-neg-out` `distribute-lft-neg-in` `distribute-rgt-neg-in`
2×	`+-commutative` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
1×	`neg-mul-1` `associate-+l+` `unsub-neg`

Counts

4 → 98

Calls

4 calls:

3.0ms	(+ x (* t (- y z)))
8.0ms	(* (- x) (- y z))
6.0ms	(* t (- y z))
6.0ms	(+ (+ x (* t (- y z))) (* (- x) (- y z)))

series187.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(+ x (* t (- y z)))
36.0ms	(* (- x) (- y z))
36.0ms	(* t (- y z))
71.0ms	(+ (+ x (* t (- y z))) (* (- x) (- y z)))

simplify66.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	470	625
1	2325	587
2	5001	570

prune239.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (+ z 1) y)
0.0b	(* x (- (+ z 1) y))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

14×	`*-un-lft-identity`
10×	`add-sqr-sqrt`
7×	`add-log-exp`
6×	`associate-r`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube` `distribute-lft-out--`
3×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-l` `associate--l+`
2×	`flip3--` `diff-log` `associate-*r/` `flip--` `distribute-lft-out` `difference-of-squares`
1×	`pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 46

Calls

2 calls:

6.0ms	(- (+ z 1) y)
9.0ms	(* x (- (+ z 1) y))

series45.0ms

Counts

2 → 6

Calls

2 calls:

14.0ms	(- (+ z 1) y)
31.0ms	(* x (- (+ z 1) y))

simplify78.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 2 (20.0ms)

Iter	Nodes	Cost
0	160	216
1	658	194
2	3344	193
3	5002	193

prune81.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.9b	(+ (* z z) (* y z))
1.9b	(- (pow y 3) (pow z 3))
7.0b	(* t (- (pow y 3) (pow z 3)))
32.8b	(/ (* t (- (pow y 3) (pow z 3))) (+ (* y y) (+ (* z z) (* y z))))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

58×	`add-sqr-sqrt`
32×	`difference-of-squares`
28×	`*-un-lft-identity`
25×	`associate-r`
24×	`unpow-prod-down` `cube-prod`
16×	`sqr-pow`
11×	`add-exp-log` `add-cbrt-cube`
10×	`distribute-lft-out--`
8×	`add-cube-cbrt` `add-log-exp`
6×	`pow1`
4×	`associate-*r/`
3×	`sub-neg` `flip3--` `times-frac` `associate-l` `associate-/r*` `flip--`
2×	`difference-cubes` `cbrt-undiv` `distribute-rgt-in` `distribute-lft-in` `flip3-+` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `flip-+` `associate-/l/`
1×	`+-commutative` `distribute-rgt-out` `frac-2neg` `diff-log` `pow-prod-down` `clear-num` `sum-log` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

4 → 117

Calls

4 calls:

4.0ms	(+ (* z z) (* y z))
12.0ms	(- (pow y 3) (pow z 3))
18.0ms	(* t (- (pow y 3) (pow z 3)))
24.0ms	(/ (* t (- (pow y 3) (pow z 3))) (+ (* y y) (+ (* z z) (* y z))))

series342.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(+ (* z z) (* y z))
53.0ms	(- (pow y 3) (pow z 3))
110.0ms	(* t (- (pow y 3) (pow z 3)))
143.0ms	(/ (* t (- (pow y 3) (pow z 3))) (+ (* y y) (+ (* z z) (* y z))))

simplify78.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 2 (66.0ms)

Iter	Nodes	Cost
0	496	919
1	2510	821
2	5002	814

prune380.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes126.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	7
1	20	7
2	21	7
3	21	7

end0.0ms

sample648.0ms

Algorithm

intervals

Results

341.0ms

12279×

body

valid