Details

Time bar (total: 3.6s)

sample27.0ms

Algorithm
intervals
Results
18.0ms331×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)

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
23×*-un-lft-identity
21×add-sqr-sqrt
15×times-frac
13×add-cube-cbrt
5×associate-/l*
4×add-exp-log add-cbrt-cube distribute-lft-out-- add-log-exp difference-of-squares
3×fma-def associate-/r*
2×pow1 expm1-log1p-u div-sub log1p-expm1-u 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 → 58
Calls
2 calls:
13.0ms
(+ x (/ (- y x) z))
9.0ms
(/ (- y x) z)

series51.0ms

Counts
2 → 6
Calls
2 calls:
22.0ms
(+ x (/ (- y x) z))
29.0ms
(/ (- y x) z)

simplify61.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0230286
1705273
23068273
35001273

prune127.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

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)))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
107×*-un-lft-identity
104×add-sqr-sqrt
72×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
3×expm1-log1p-u fma-def log1p-expm1-u
2×rec-exp frac-2neg 1-exp clear-num distribute-lft-out
1×+-commutative pow-flip flip3-+ sum-log flip-+ inv-pow
Counts
3 → 167
Calls
3 calls:
29.0ms
(+ x (/ 1 (/ z (- y x))))
5.0ms
(/ z (- y x))
10.0ms
(/ 1 (/ z (- y x)))

series82.0ms

Counts
3 → 9
Calls
3 calls:
20.0ms
(+ x (/ 1 (/ z (- y x))))
27.0ms
(/ z (- y x))
35.0ms
(/ 1 (/ z (- y x)))

simplify48.0ms

Algorithm
egg-herbie
Counts
176 → 176
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
05051167
12216936
25002922

prune249.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize8.0ms

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)))

rewrite148.0ms

Algorithm
rewrite-expression-head
Rules
696×times-frac
388×*-un-lft-identity
386×add-sqr-sqrt
294×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
3×expm1-log1p-u fma-def log1p-expm1-u
2×frac-2neg clear-num
1×+-commutative pow-flip flip3-+ sum-log flip-+ associate-/l/ distribute-lft-out inv-pow
Counts
3 → 401
Calls
3 calls:
6.0ms
(/ 1 (- y x))
91.0ms
(+ x (/ (/ 1 z) (/ 1 (- y x))))
20.0ms
(/ (/ 1 z) (/ 1 (- y x)))

series89.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(/ 1 (- y x))
20.0ms
(+ x (/ (/ 1 z) (/ 1 (- y x))))
31.0ms
(/ (/ 1 z) (/ 1 (- y x)))

simplify70.0ms

Algorithm
egg-herbie
Counts
410 → 410
Iterations

Useful iterations: 1 (32.0ms)

IterNodesCost
016204229
150013650

prune524.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize12.0ms

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))

rewrite33.0ms

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×expm1-log1p-u add-cbrt-cube log1p-expm1-u 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 → 161
Calls
4 calls:
19.0ms
(* (cbrt (/ 1 z)) (cbrt (/ 1 z)))
4.0ms
(cbrt (/ 1 z))
2.0ms
(cbrt (/ 1 z))
2.0ms
(cbrt (/ 1 z))

series719.0ms

Counts
4 → 12
Calls
4 calls:
194.0ms
(* (cbrt (/ 1 z)) (cbrt (/ 1 z)))
175.0ms
(cbrt (/ 1 z))
176.0ms
(cbrt (/ 1 z))
173.0ms
(cbrt (/ 1 z))

simplify51.0ms

Algorithm
egg-herbie
Counts
173 → 173
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
02231172
19021064
25001904

prune359.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes71.0ms

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

sample748.0ms

Algorithm
intervals
Results
533.0ms9982×body80valid