Details

sample22.0ms

Algorithm

intervals

Results

9.0ms

399×

body

valid

simplify86.0ms

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))

rewrite25.0ms

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:

3.0ms	(+ x (* (- y z) (- t x)))
20.0ms	(* (- y z) (- t x))

series89.0ms

Counts

2 → 6

Calls

2 calls:

54.0ms	(+ x (* (- y z) (- t x)))
34.0ms	(* (- y z) (- t x))

simplify39.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 2 (33.0ms)

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

prune130.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite47.0ms

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:

14.0ms	(+ x (+ (* (- y z) t) (* (- y z) (- x))))
10.0ms	(* (- y z) t)
12.0ms	(* (- y z) (- x))
7.0ms	(+ (* (- y z) t) (* (- y z) (- x)))

series149.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(+ x (+ (* (- y z) t) (* (- y z) (- x))))
31.0ms	(* (- y z) t)
26.0ms	(* (- y z) (- x))
39.0ms	(+ (* (- y z) t) (* (- y z) (- x)))

simplify64.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	464	589
1	2084	523
2	5002	518

prune258.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- y z)) (cbrt (- y z)))
0.6b	(cbrt (- y z))
0.6b	(cbrt (- y z))
0.6b	(cbrt (- y z))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 101

Calls

4 calls:

22.0ms	(* (cbrt (- y z)) (cbrt (- y z)))
2.0ms	(cbrt (- y z))
2.0ms	(cbrt (- y z))
2.0ms	(cbrt (- y z))

series572.0ms

Counts

4 → 12

Calls

4 calls:

125.0ms	(* (cbrt (- y z)) (cbrt (- y z)))
149.0ms	(cbrt (- y z))
150.0ms	(cbrt (- y z))
147.0ms	(cbrt (- y z))

simplify155.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 3 (146.0ms)

Iter	Nodes	Cost
0	261	760
1	914	723
2	4493	670
3	5001	661

prune358.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (- y z) t) (/ (* (- (* y y) (* z z)) (- x)) (+ y z)))
1.3b	(- (* y y) (* z z))
8.4b	(* (- (* y y) (* z z)) (- x))
14.9b	(/ (* (- (* y y) (* z z)) (- x)) (+ y z))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 85

Calls

4 calls:

13.0ms	(+ (* (- y z) t) (/ (* (- (* y y) (* z z)) (- x)) (+ y z)))
5.0ms	(- (* y y) (* z z))
12.0ms	(* (- (* y y) (* z z)) (- x))
10.0ms	(/ (* (- (* y y) (* z z)) (- x)) (+ y z))

series198.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(+ (* (- y z) t) (/ (* (- (* y y) (* z z)) (- x)) (+ y z)))
30.0ms	(- (* y y) (* z z))
46.0ms	(* (- (* y y) (* z z)) (- x))
52.0ms	(/ (* (- (* y y) (* z z)) (- x)) (+ y z))

simplify71.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	494	776
1	2465	692
2	5001	692

prune264.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes122.0ms

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

sample575.0ms

Algorithm

intervals

Results

283.0ms

12332×

body

valid