Details

sample25.0ms

Algorithm

intervals

Results

10.0ms

374×

body

valid

simplify86.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (- y z) (- t x)))
0.1b	(* (- y z) (- t x))

rewrite45.0ms

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:

8.0ms	(+ x (* (- y z) (- t x)))
34.0ms	(* (- y z) (- t x))

series78.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(+ x (* (- y z) (- t x)))
33.0ms	(* (- y z) (- t x))

simplify36.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 2 (31.0ms)

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

prune113.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 86

Calls

4 calls:

26.0ms	(+ x (+ (* (- y z) t) (* (- y z) (- x))))
26.0ms	(* (- y z) (- x))
18.0ms	(+ (* (- y z) t) (* (- y z) (- x)))
21.0ms	(* (- y z) t)

series132.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(+ x (+ (* (- y z) t) (* (- y z) (- x))))
23.0ms	(* (- y z) (- x))
35.0ms	(+ (* (- y z) t) (* (- y z) (- x)))
28.0ms	(* (- y z) t)

simplify61.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	464	589
1	2084	523
2	5001	518

prune216.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (- y z) t)) (cbrt (* (- y z) t)))
2.6b	(cbrt (* (- y z) t))
2.6b	(cbrt (* (- y z) t))
2.6b	(cbrt (* (- y z) t))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*l/`
18×	`cbrt-div`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`flip3--` `pow1/3` `flip--`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`frac-times` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`associate-*r/` `pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 72

Calls

4 calls:

30.0ms	(* (cbrt (* (- y z) t)) (cbrt (* (- y z) t)))
8.0ms	(cbrt (* (- y z) t))
8.0ms	(cbrt (* (- y z) t))
8.0ms	(cbrt (* (- y z) t))

series526.0ms

Counts

4 → 12

Calls

4 calls:

154.0ms	(* (cbrt (* (- y z) t)) (cbrt (* (- y z) t)))
121.0ms	(cbrt (* (- y z) t))
131.0ms	(cbrt (* (- y z) t))
120.0ms	(cbrt (* (- y z) t))

simplify41.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	336	695
1	1104	642
2	5001	597

prune277.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

1.4b	(+ (* y y) (+ (* z z) (* y z)))
2.0b	(- (pow y 3) (pow z 3))
6.5b	(* (- (pow y 3) (pow z 3)) (- x))
31.1b	(/ (* (- (pow y 3) (pow z 3)) (- x)) (+ (* y y) (+ (* z z) (* y z))))

rewrite218.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 123

Calls

4 calls:

19.0ms	(+ (* y y) (+ (* z z) (* y z)))
25.0ms	(- (pow y 3) (pow z 3))
92.0ms	(* (- (pow y 3) (pow z 3)) (- x))
77.0ms	(/ (* (- (pow y 3) (pow z 3)) (- x)) (+ (* y y) (+ (* z z) (* y z))))

series196.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(+ (* y y) (+ (* z z) (* y z)))
45.0ms	(- (pow y 3) (pow z 3))
59.0ms	(* (- (pow y 3) (pow z 3)) (- x))
74.0ms	(/ (* (- (pow y 3) (pow z 3)) (- x)) (+ (* y y) (+ (* z z) (* y z))))

simplify75.0ms

Algorithm

egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	511	1088
1	2576	967
2	5001	961

prune411.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes146.0ms

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

sample660.0ms

Algorithm

intervals

Results

258.0ms

12108×

body

valid