Details

Time bar (total: 3.5s)

sample16.0ms

Algorithm
intervals
Results
7.0ms274×body80valid

simplify13.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0215
1375
2615
3915
41155
51215
61215

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.7b

localize7.0ms

Local error

Found 2 expressions with local error:

2.8b
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
4.6b
(* y (+ 1.0 (* z z)))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
31×times-frac
20×add-sqr-sqrt
18×add-cube-cbrt *-un-lft-identity
16×add-exp-log add-cbrt-cube
13×associate-/l*
6×cbrt-undiv div-exp
4×pow1 associate-*r/
3×associate-*r* associate-*l* prod-exp cbrt-unprod div-inv
2×flip3-+ associate-/r/ flip-+ add-log-exp
1×distribute-rgt-in frac-2neg distribute-lft-in pow-prod-down clear-num associate-/r* *-commutative associate-/l/ unswap-sqr
Counts
2 → 70
Calls
2 calls:
7.0ms
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
5.0ms
(* y (+ 1.0 (* z z)))

series106.0ms

Counts
2 → 6
Calls
2 calls:
53.0ms
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
53.0ms
(* y (+ 1.0 (* z z)))

simplify46.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0409511
11963443
25001443

prune151.0ms

Filtered
76 candidates to 56 candidates (73.7%)
Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 5.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* y 1.0) (* y (* z z)))
2.8b
(/ (/ 1.0 x) (+ (* y 1.0) (* y (* z z))))
8.1b
(* y (* z z))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
97×times-frac
54×add-sqr-sqrt
53×add-cube-cbrt *-un-lft-identity
15×distribute-lft-out
13×add-exp-log add-cbrt-cube associate-/l*
8×pow1
6×div-inv
5×add-log-exp
4×associate-/r*
3×cbrt-undiv div-exp associate-*l* pow-prod-down prod-exp cbrt-unprod
2×flip3-+ associate-/r/ flip-+
1×+-commutative frac-2neg associate-*r* clear-num sum-log *-commutative associate-/l/ unswap-sqr
Counts
3 → 117
Calls
3 calls:
4.0ms
(+ (* y 1.0) (* y (* z z)))
7.0ms
(/ (/ 1.0 x) (+ (* y 1.0) (* y (* z z))))
5.0ms
(* y (* z z))

series151.0ms

Counts
3 → 9
Calls
3 calls:
57.0ms
(+ (* y 1.0) (* y (* z z)))
68.0ms
(/ (/ 1.0 x) (+ (* y 1.0) (* y (* z z))))
26.0ms
(* y (* z z))

simplify60.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
05751202
123781121
250011118

prune283.0ms

Filtered
126 candidates to 100 candidates (79.4%)
Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 2.2b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* y 1.0) (* (* y z) z))
0.1b
(* (* y z) z)
2.8b
(/ (/ 1.0 x) (+ (* y 1.0) (* (* y z) z)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
75×times-frac
46×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
13×add-exp-log add-cbrt-cube associate-/l*
8×pow1
5×div-inv add-log-exp
3×cbrt-undiv div-exp associate-*r* pow-prod-down prod-exp associate-/r* cbrt-unprod
2×flip3-+ associate-/r/ flip-+
1×+-commutative frac-2neg associate-*l* clear-num sum-log *-commutative associate-/l/
Counts
3 → 101
Calls
3 calls:
4.0ms
(+ (* y 1.0) (* (* y z) z))
5.0ms
(* (* y z) z)
7.0ms
(/ (/ 1.0 x) (+ (* y 1.0) (* (* y z) z)))

series152.0ms

Counts
3 → 9
Calls
3 calls:
57.0ms
(+ (* y 1.0) (* (* y z) z))
25.0ms
(* (* y z) z)
69.0ms
(/ (/ 1.0 x) (+ (* y 1.0) (* (* y z) z)))

simplify62.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
05251102
123751002
25002999

prune275.0ms

Filtered
110 candidates to 87 candidates (79.1%)
Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 2.2b

localize13.0ms

Local error

Found 4 expressions with local error:

0.7b
(* (/ 1.0 (* (cbrt (+ (* y 1.0) (* (* y z) z))) (cbrt (+ (* y 1.0) (* (* y z) z))))) (/ (/ 1 x) (cbrt (+ (* y 1.0) (* (* y z) z)))))
16.5b
(cbrt (+ (* y 1.0) (* (* y z) z)))
16.5b
(cbrt (+ (* y 1.0) (* (* y z) z)))
16.5b
(cbrt (+ (* y 1.0) (* (* y z) z)))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
162×times-frac
122×add-sqr-sqrt
84×associate-*r*
82×*-un-lft-identity
78×add-cube-cbrt
64×add-exp-log
54×cbrt-prod
28×div-exp add-cbrt-cube
20×cbrt-div prod-exp
15×cbrt-undiv associate-*l*
14×unswap-sqr
12×cbrt-unprod
10×flip3-+ associate-/r/ flip-+
8×div-inv
6×pow1
5×frac-times
4×add-log-exp
3×rec-exp pow1/3 1-exp associate-*r/ associate-*l/
1×pow-prod-down *-commutative
Counts
4 → 188
Calls
4 calls:
45.0ms
(* (/ 1.0 (* (cbrt (+ (* y 1.0) (* (* y z) z))) (cbrt (+ (* y 1.0) (* (* y z) z))))) (/ (/ 1 x) (cbrt (+ (* y 1.0) (* (* y z) z)))))
3.0ms
(cbrt (+ (* y 1.0) (* (* y z) z)))
3.0ms
(cbrt (+ (* y 1.0) (* (* y z) z)))
3.0ms
(cbrt (+ (* y 1.0) (* (* y z) z)))

series711.0ms

Counts
4 → 12
Calls
4 calls:
97.0ms
(* (/ 1.0 (* (cbrt (+ (* y 1.0) (* (* y z) z))) (cbrt (+ (* y 1.0) (* (* y z) z))))) (/ (/ 1 x) (cbrt (+ (* y 1.0) (* (* y z) z)))))
185.0ms
(cbrt (+ (* y 1.0) (* (* y z) z)))
186.0ms
(cbrt (+ (* y 1.0) (* (* y z) z)))
242.0ms
(cbrt (+ (* y 1.0) (* (* y z) z)))

simplify58.0ms

Algorithm
egg-herbie
Counts
200 → 200
Iterations

Useful iterations: 1 (26.0ms)

IterNodesCost
012474309
150013923

prune617.0ms

Filtered
200 candidates to 160 candidates (80.0%)
Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 2.2b

regimes181.0ms

Accuracy

0% (1.6b remaining)

Error of 3.7b against oracle of 2.1b and baseline of 3.7b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0146
1146

end0.0ms

sample416.0ms

Algorithm
intervals
Results
248.0ms8669×body80valid