Details

Time bar (total: 3.3s)

sample25.0ms

Algorithm
intervals
Results
15.0ms331×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)

series50.0ms

Counts
2 → 6
Calls
2 calls:
21.0ms
(+ x (/ (- y x) z))
29.0ms
(/ (- y x) z)

simplify58.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0221273
1676261
22904261
35002261

prune99.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ 1 (/ z (- y x))))
0.0b
(/ z (- y x))
0.3b
(/ 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)))

series81.0ms

Counts
3 → 9
Calls
3 calls:
20.0ms
(+ x (/ 1 (/ z (- y x))))
30.0ms
(/ z (- y x))
31.0ms
(/ 1 (/ z (- y x)))

simplify44.0ms

Algorithm
egg-herbie
Counts
167 → 167
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
04931143
12183918
25001903

prune245.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- y x))
0.0b
(+ x (/ (/ 1 z) (/ 1 (- y x))))
0.3b
(/ (/ 1 z) (/ 1 (- y x)))

rewrite136.0ms

Algorithm
rewrite-expression-head
Rules
696×times-frac
387×*-un-lft-identity
385×add-sqr-sqrt
293×add-cube-cbrt
47×add-exp-log
46×distribute-lft-out-- difference-of-squares
38×div-inv
34×div-exp
31×associate-/r/
26×associate-/r*
17×add-cbrt-cube
16×associate-/l*
15×flip3-- flip--
9×cbrt-undiv rec-exp 1-exp
5×add-log-exp
4×pow1
2×frac-2neg clear-num
1×+-commutative pow-flip flip3-+ sum-log flip-+ associate-/l/ distribute-lft-out inv-pow
Counts
3 → 392
Calls
3 calls:
5.0ms
(/ 1 (- y x))
85.0ms
(+ x (/ (/ 1 z) (/ 1 (- y x))))
17.0ms
(/ (/ 1 z) (/ 1 (- y x)))

series90.0ms

Counts
3 → 9
Calls
3 calls:
33.0ms
(/ 1 (- y x))
26.0ms
(+ x (/ (/ 1 z) (/ 1 (- y x))))
31.0ms
(/ (/ 1 z) (/ 1 (- y x)))

simplify70.0ms

Algorithm
egg-herbie
Counts
401 → 401
Iterations

Useful iterations: 1 (30.0ms)

IterNodesCost
016084223
150013648

prune476.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(* (cbrt (/ 1 z)) (cbrt (/ 1 z)))
0.6b
(cbrt (/ 1 z))
0.6b
(cbrt (/ 1 z))
0.6b
(cbrt (/ 1 z))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
119×cbrt-prod
97×add-sqr-sqrt
79×times-frac
67×*-un-lft-identity
57×add-cube-cbrt
18×swap-sqr
16×associate-*r* associate-*l* unswap-sqr
11×pow1
9×pow1/3 div-inv
7×cbrt-div
6×add-exp-log
4×add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 153
Calls
4 calls:
22.0ms
(* (cbrt (/ 1 z)) (cbrt (/ 1 z)))
3.0ms
(cbrt (/ 1 z))
3.0ms
(cbrt (/ 1 z))
3.0ms
(cbrt (/ 1 z))

series709.0ms

Counts
4 → 12
Calls
4 calls:
188.0ms
(* (cbrt (/ 1 z)) (cbrt (/ 1 z)))
177.0ms
(cbrt (/ 1 z))
172.0ms
(cbrt (/ 1 z))
171.0ms
(cbrt (/ 1 z))

simplify39.0ms

Algorithm
egg-herbie
Counts
165 → 165
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
02191142
18971034
25002874

prune313.0ms

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

sample650.0ms

Algorithm
intervals
Results
453.0ms9982×body80valid