Details

Time bar (total: 3.1s)

sample15.0ms

Algorithm
intervals
Results
5.0ms264×body80valid

simplify7.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0123
1163
2183
3183

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) (- z y))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
37×add-sqr-sqrt *-un-lft-identity
25×times-frac
13×add-cube-cbrt
12×distribute-lft-out-- difference-of-squares
5×associate-/r* associate-/l*
3×add-exp-log add-cbrt-cube
2×flip3-- associate-/r/ flip-- associate-/l/
1×pow1 cbrt-undiv frac-2neg div-sub div-exp clear-num div-inv add-log-exp
Counts
1 → 52
Calls
1 calls:
22.0ms
(/ (- x y) (- z y))

series48.0ms

Counts
1 → 3
Calls
1 calls:
47.0ms
(/ (- x y) (- z y))

simplify52.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0223354
1618340
22045340
35001340

prune94.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z y) (- x y))
0.5b
(/ 1 (/ (- z y) (- x y)))

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
218×times-frac
194×add-sqr-sqrt *-un-lft-identity
90×add-cube-cbrt
52×distribute-lft-out-- difference-of-squares
36×associate-/r*
15×add-exp-log
11×associate-/r/
9×add-cbrt-cube
8×div-exp associate-/l*
6×flip3-- flip-- div-inv
4×cbrt-undiv
3×pow1
2×rec-exp frac-2neg 1-exp clear-num associate-/l/ add-log-exp
1×pow-flip div-sub inv-pow
Counts
2 → 200
Calls
2 calls:
24.0ms
(/ (- z y) (- x y))
25.0ms
(/ 1 (/ (- z y) (- x y)))

series168.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(/ (- z y) (- x y))
121.0ms
(/ 1 (/ (- z y) (- x y)))

simplify63.0ms

Algorithm
egg-herbie
Counts
206 → 206
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
05841790
126781621
250021454

prune231.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ z (- x y)) (/ y (- x y)))
0.0b
(/ y (- x y))
0.0b
(/ z (- x y))
0.5b
(/ 1 (- (/ z (- x y)) (/ y (- x y))))

rewrite228.0ms

Algorithm
rewrite-expression-head
Rules
203×*-un-lft-identity
174×times-frac
153×add-sqr-sqrt
68×distribute-lft-out--
57×add-cube-cbrt
38×difference-of-squares
28×associate-/r* associate-/r/
15×distribute-rgt-out--
14×flip3-- flip--
13×div-inv
12×add-exp-log
10×add-cbrt-cube
9×associate-/l*
6×add-log-exp
5×pow1
4×div-exp
3×cbrt-undiv frac-2neg clear-num
2×frac-sub sub-div
1×sub-neg rec-exp pow-flip diff-log 1-exp inv-pow
Counts
4 → 198
Calls
4 calls:
79.0ms
(- (/ z (- x y)) (/ y (- x y)))
12.0ms
(/ y (- x y))
11.0ms
(/ z (- x y))
114.0ms
(/ 1 (- (/ z (- x y)) (/ y (- x y))))

series195.0ms

Counts
4 → 12
Calls
4 calls:
58.0ms
(- (/ z (- x y)) (/ y (- x y)))
43.0ms
(/ y (- x y))
25.0ms
(/ z (- x y))
68.0ms
(/ 1 (- (/ z (- x y)) (/ y (- x y))))

simplify59.0ms

Algorithm
egg-herbie
Counts
210 → 210
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
04831615
117951525
250011429

prune316.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

2.3b
(- (* x x) (* y y))
6.6b
(/ z (- (* x x) (* y y)))
10.3b
(* (/ 1 (+ x y)) (/ 1 (- (/ z (- (* x x) (* y y))) (/ y (- (* x x) (* y y))))))
19.1b
(/ y (- (* x x) (* y y)))

rewrite340.0ms

Algorithm
rewrite-expression-head
Rules
129×times-frac
115×add-sqr-sqrt
97×*-un-lft-identity
55×add-cube-cbrt
53×associate-*r*
48×add-exp-log
27×difference-of-squares
22×associate-/r/
20×add-cbrt-cube
18×div-exp associate-*l*
16×prod-exp
15×distribute-lft-out--
10×flip3-- flip-- div-inv
9×distribute-rgt-out-- unswap-sqr
8×pow1 rec-exp 1-exp associate-/r*
6×cbrt-undiv associate-/l* add-log-exp
4×cbrt-unprod
3×pow-prod-down distribute-lft-out
2×pow-flip frac-2neg clear-num inv-pow
1×frac-times sub-neg flip3-+ diff-log associate-*r/ associate-*l/ un-div-inv *-commutative frac-sub flip-+ sub-div
Counts
4 → 194
Calls
4 calls:
8.0ms
(- (* x x) (* y y))
13.0ms
(/ z (- (* x x) (* y y)))
297.0ms
(* (/ 1 (+ x y)) (/ 1 (- (/ z (- (* x x) (* y y))) (/ y (- (* x x) (* y y))))))
13.0ms
(/ y (- (* x x) (* y y)))

series260.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(- (* x x) (* y y))
41.0ms
(/ z (- (* x x) (* y y)))
135.0ms
(* (/ 1 (+ x y)) (/ 1 (- (/ z (- (* x x) (* y y))) (/ y (- (* x x) (* y y))))))
52.0ms
(/ y (- (* x x) (* y y)))

simplify44.0ms

Algorithm
egg-herbie
Counts
206 → 206
Iterations

Useful iterations: 1 (24.0ms)

IterNodesCost
09442305
150012043

prune420.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes59.0ms

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
063

end0.0ms

sample386.0ms

Algorithm
intervals
Results
155.0ms8329×body80valid