Details

Time bar (total: 2.1s)

sample15.0ms

Algorithm
intervals
Results
6.0ms313×body80valid

simplify57.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0113
1263
2563
31373
42293
52893
63793
75823
88783
911933
1012343
1112343

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b
(* (+ x y) (- 1.0 z))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt *-un-lft-identity
5×associate-*r*
4×frac-times associate-*l*
3×pow1 add-exp-log add-cube-cbrt flip3-- flip3-+ add-cbrt-cube flip-- flip-+
2×distribute-rgt-in sub-neg distribute-lft-in associate-*r/ associate-*l/
1×pow-prod-down prod-exp *-commutative cbrt-unprod distribute-lft-out distribute-lft-out-- add-log-exp difference-of-squares unswap-sqr
Counts
1 → 33
Calls
1 calls:
17.0ms
(* (+ x y) (- 1.0 z))

series35.0ms

Counts
1 → 3
Calls
1 calls:
35.0ms
(* (+ x y) (- 1.0 z))

simplify31.0ms

Algorithm
egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0240207
1997192
25001190

prune70.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b
(- (* y (- 1.0 z)) (* x z))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
4×associate--l+
3×sub-neg add-log-exp
2×distribute-rgt-in distribute-lft-in
1×pow1 add-exp-log add-sqr-sqrt add-cube-cbrt flip3-- *-un-lft-identity diff-log add-cbrt-cube flip--
Counts
1 → 16
Calls
1 calls:
6.0ms
(- (* y (- 1.0 z)) (* x z))

series39.0ms

Counts
1 → 3
Calls
1 calls:
39.0ms
(- (* y (- 1.0 z)) (* x z))

simplify137.0ms

Algorithm
egg-herbie
Counts
19 → 19
Iterations

Useful iterations: 2 (12.0ms)

IterNodesCost
0108121
1324108
21262104
34963104
45001104

prune30.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

1.2b
(* (- (* x x) (* y y)) (- 1.0 z))
2.4b
(- (* x x) (* y y))
29.0b
(/ (* (- (* x x) (* y y)) (- 1.0 z)) (- x y))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
14×flip3-- flip--
13×*-un-lft-identity
10×add-exp-log add-cbrt-cube
8×frac-times associate-/l/
7×add-cube-cbrt
5×pow1 times-frac associate-*r* associate-/r* add-log-exp difference-of-squares
4×associate-*r/ associate-*l* associate-*l/
3×sub-neg distribute-lft-out--
2×cbrt-undiv distribute-rgt-in distribute-lft-in div-exp prod-exp associate-/r/ cbrt-unprod
1×frac-2neg diff-log pow-prod-down clear-num *-commutative div-inv associate-/l* unswap-sqr
Counts
3 → 81
Calls
3 calls:
18.0ms
(* (- (* x x) (* y y)) (- 1.0 z))
6.0ms
(- (* x x) (* y y))
14.0ms
(/ (* (- (* x x) (* y y)) (- 1.0 z)) (- x y))

series137.0ms

Counts
3 → 9
Calls
3 calls:
47.0ms
(* (- (* x x) (* y y)) (- 1.0 z))
34.0ms
(- (* x x) (* y y))
55.0ms
(/ (* (- (* x x) (* y y)) (- 1.0 z)) (- x y))

simplify64.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
0468752
12490669
25001661

prune209.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ x y))
0.0b
(sqrt (+ x y))
0.0b
(* (sqrt (+ x y)) (- 1.0 z))
0.2b
(* (sqrt (+ x y)) (* (sqrt (+ x y)) (- 1.0 z)))

rewrite73.0ms

Algorithm
rewrite-expression-head
Rules
46×sqrt-div
32×frac-times
23×flip3-+ flip-+
21×*-un-lft-identity
19×add-sqr-sqrt
17×sqrt-prod
16×associate-*r/
14×associate-*l*
13×pow1
12×flip3-- flip--
11×add-exp-log add-cube-cbrt add-cbrt-cube
10×distribute-rgt-in distribute-lft-in associate-*l/
6×sub-neg associate-*r*
4×pow-prod-down prod-exp cbrt-unprod distribute-lft-out add-log-exp
2×rem-sqrt-square sqrt-pow1 pow1/2 *-commutative unswap-sqr
1×distribute-lft-out-- difference-of-squares
Counts
4 → 125
Calls
4 calls:
4.0ms
(sqrt (+ x y))
4.0ms
(sqrt (+ x y))
19.0ms
(* (sqrt (+ x y)) (- 1.0 z))
40.0ms
(* (sqrt (+ x y)) (* (sqrt (+ x y)) (- 1.0 z)))

series207.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(sqrt (+ x y))
40.0ms
(sqrt (+ x y))
90.0ms
(* (sqrt (+ x y)) (- 1.0 z))
42.0ms
(* (sqrt (+ x y)) (* (sqrt (+ x y)) (- 1.0 z)))

simplify56.0ms

Algorithm
egg-herbie
Counts
137 → 137
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
05091104
12001984
25002980

prune300.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes105.0ms

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)

IterNodesCost
093
193

end0.0ms

sample390.0ms

Algorithm
intervals
Results
195.0ms10115×body80valid
0.0ms1×body1280valid
0.0ms1×body320valid