Details

Time bar (total: 1.9s)

sample16.0ms

Algorithm
intervals
Results
6.0ms320×body80valid

simplify18.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0123
1193
2283
3403
4503
5733
61023
71183
81453
91743
101903
111903

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (/ (- y x) z))
0.0b
(/ (- y x) z)

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
22×*-un-lft-identity
20×add-sqr-sqrt
15×times-frac
12×add-cube-cbrt
5×associate-/l*
4×add-exp-log add-cbrt-cube distribute-lft-out-- add-log-exp difference-of-squares
3×associate-/r*
2×pow1 div-sub associate-/l/
1×cbrt-undiv +-commutative associate-+r- flip3-- frac-2neg flip3-+ div-exp clear-num sum-log flip-- flip-+ div-inv distribute-lft-out
Counts
2 → 51
Calls
2 calls:
12.0ms
(+ x (/ (- y x) z))
7.0ms
(/ (- y x) z)

series52.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(+ x (/ (- y x) z))
26.0ms
(/ (- y x) z)

simplify60.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0221273
1676261
22904261
35002261

prune101.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ 1 (/ z (- y x))))
0.0b
(/ z (- y x))
0.4b
(/ 1 (/ z (- y x)))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
106×*-un-lft-identity
103×add-sqr-sqrt
71×add-cube-cbrt
26×associate-/r*
16×add-exp-log distribute-lft-out-- difference-of-squares
11×associate-/r/
10×add-cbrt-cube
8×div-exp
7×div-inv
6×associate-/l*
5×flip3-- flip-- add-log-exp
4×pow1 cbrt-undiv
2×rec-exp frac-2neg 1-exp clear-num distribute-lft-out
1×+-commutative pow-flip flip3-+ sum-log flip-+ inv-pow
Counts
3 → 158
Calls
3 calls:
30.0ms
(+ x (/ 1 (/ z (- y x))))
5.0ms
(/ z (- y x))
10.0ms
(/ 1 (/ z (- y x)))

series82.0ms

Counts
3 → 9
Calls
3 calls:
23.0ms
(+ x (/ 1 (/ z (- y x))))
28.0ms
(/ z (- y x))
31.0ms
(/ 1 (/ z (- y x)))

simplify48.0ms

Algorithm
egg-herbie
Counts
167 → 167
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
04931143
12183918
25001903

prune230.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (/ (/ (* 1 (- (* y y) (* x x))) z) (+ y x)))
3.9b
(- (* y y) (* x x))
9.0b
(/ (* 1 (- (* y y) (* x x))) z)
19.2b
(/ (/ (* 1 (- (* y y) (* x x))) z) (+ y x))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
46×times-frac
42×*-un-lft-identity
24×add-sqr-sqrt add-cube-cbrt
23×add-exp-log
18×add-cbrt-cube
10×div-exp
9×distribute-lft-out
8×associate-/l* add-log-exp
7×cbrt-undiv associate-/r* div-inv
4×pow1 prod-exp
3×associate-/l/
2×flip3-- frac-2neg flip3-+ 1-exp associate-*r/ clear-num associate-/r/ flip-- cbrt-unprod flip-+
1×+-commutative sub-neg diff-log sum-log difference-of-squares
Counts
4 → 108
Calls
4 calls:
17.0ms
(+ x (/ (/ (* 1 (- (* y y) (* x x))) z) (+ y x)))
3.0ms
(- (* y y) (* x x))
7.0ms
(/ (* 1 (- (* y y) (* x x))) z)
10.0ms
(/ (/ (* 1 (- (* y y) (* x x))) z) (+ y x))

series176.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(+ x (/ (/ (* 1 (- (* y y) (* x x))) z) (+ y x)))
32.0ms
(- (* y y) (* x x))
47.0ms
(/ (* 1 (- (* y y) (* x x))) z)
54.0ms
(/ (/ (* 1 (- (* y y) (* x x))) z) (+ y x))

simplify63.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
05061074
12465961
25002957

prune213.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (/ y z))
0.0b
(- (+ x (/ y z)) (/ x z))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
9×*-un-lft-identity add-log-exp
7×add-sqr-sqrt
2×pow1 add-exp-log add-cube-cbrt flip3-+ diff-log sum-log frac-sub add-cbrt-cube flip-+ distribute-lft-out distribute-lft-out-- difference-of-squares
1×+-commutative sub-neg flip3-- times-frac associate--l+ flip--
Counts
2 → 32
Calls
2 calls:
6.0ms
(+ x (/ y z))
57.0ms
(- (+ x (/ y z)) (/ x z))

series39.0ms

Counts
2 → 6
Calls
2 calls:
16.0ms
(+ x (/ y z))
24.0ms
(- (+ x (/ y z)) (/ x z))

simplify45.0ms

Algorithm
egg-herbie
Counts
38 → 38
Iterations

Useful iterations: 2 (13.0ms)

IterNodesCost
0163232
1498222
21742217
35001217

prune62.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes68.0ms

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
073
173

end0.0ms

sample405.0ms

Algorithm
intervals
Results
200.0ms10114×body80valid