Details

Time bar (total: 3.0s)

sample23.0ms

Algorithm
intervals
Results
9.0ms274×body80valid

simplify13.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0215
1375
2615
3915
41155
51215
61215

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 8.7b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

5.1b
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
6.0b
(* y (+ 1.0 (* z z)))

rewrite15.0ms

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:
8.0ms
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
5.0ms
(* y (+ 1.0 (* z z)))

series32.0ms

Counts
2 → 6
Calls
2 calls:
17.0ms
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
15.0ms
(* y (+ 1.0 (* z z)))

simplify53.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0409511
11963443
25001443

prune127.0ms

Filtered
56 candidates to 76 candidates (-35.7%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New69776
Fresh000
Picked101
Done000
Total70777

Merged error: 7.0b

Counts
77 → 7

localize9.0ms

Local error

Found 2 expressions with local error:

3.9b
(* (/ 1 y) (/ (/ 1.0 x) (+ 1.0 (* z z))))
5.3b
(/ (/ 1.0 x) (+ 1.0 (* z z)))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
165×times-frac
116×add-sqr-sqrt
89×*-un-lft-identity
86×add-cube-cbrt
46×add-exp-log
45×associate-*r*
28×add-cbrt-cube
21×div-exp
13×associate-*l* associate-/l*
12×cbrt-undiv prod-exp
10×div-inv
9×unswap-sqr
6×cbrt-unprod
4×pow1 associate-/r/
3×rec-exp 1-exp associate-/r*
2×flip3-+ flip-+ add-log-exp
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative associate-/l/
Counts
2 → 169
Calls
2 calls:
27.0ms
(* (/ 1 y) (/ (/ 1.0 x) (+ 1.0 (* z z))))
7.0ms
(/ (/ 1.0 x) (+ 1.0 (* z z)))

series32.0ms

Counts
2 → 6
Calls
2 calls:
18.0ms
(* (/ 1 y) (/ (/ 1.0 x) (+ 1.0 (* z z))))
14.0ms
(/ (/ 1.0 x) (+ 1.0 (* z z)))

simplify116.0ms

Algorithm
egg-herbie
Counts
175 → 175
Iterations

Useful iterations: 2 (94.0ms)

IterNodesCost
09221637
145381473
250031467

prune277.0ms

Filtered
134 candidates to 175 candidates (-30.6%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New1732175
Fresh246
Picked101
Done000
Total1766182

Merged error: 7.0b

Counts
182 → 6

localize9.0ms

Local error

Found 3 expressions with local error:

0.3b
(/ 1.0 (* (+ 1.0 (* z z)) x))
3.9b
(* (/ 1 y) (/ 1.0 (* (+ 1.0 (* z z)) x)))
5.2b
(* (+ 1.0 (* z z)) x)

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
49×add-exp-log
31×add-cbrt-cube
25×add-sqr-sqrt
18×prod-exp
17×*-un-lft-identity times-frac
16×add-cube-cbrt div-exp associate-*l*
12×associate-*r*
10×cbrt-unprod
9×cbrt-undiv
7×pow1 associate-*l/
4×associate-/r/ unswap-sqr
3×rec-exp flip3-+ 1-exp flip-+ div-inv associate-/l* add-log-exp
2×pow-prod-down *-commutative
1×frac-times frac-2neg associate-*r/ clear-num associate-/r*
Counts
3 → 98
Calls
3 calls:
5.0ms
(/ 1.0 (* (+ 1.0 (* z z)) x))
12.0ms
(* (/ 1 y) (/ 1.0 (* (+ 1.0 (* z z)) x)))
5.0ms
(* (+ 1.0 (* z z)) x)

series29.0ms

Counts
3 → 9
Calls
3 calls:
7.0ms
(/ 1.0 (* (+ 1.0 (* z z)) x))
16.0ms
(* (/ 1 y) (/ 1.0 (* (+ 1.0 (* z z)) x)))
6.0ms
(* (+ 1.0 (* z z)) x)

simplify77.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (67.0ms)

IterNodesCost
0531783
12989643
25002637

prune119.0ms

Filtered
71 candidates to 107 candidates (-50.7%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1070107
Fresh055
Picked011
Done000
Total1076113

Merged error: 7.0b

Counts
113 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (/ 1.0 x))
1.9b
(/ (cbrt (/ 1.0 x)) (+ 1.0 (* z z)))
3.3b
(* (* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x))) (/ (cbrt (/ 1.0 x)) (+ 1.0 (* z z))))
3.9b
(* (/ 1 y) (* (* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x))) (/ (cbrt (/ 1.0 x)) (+ 1.0 (* z z)))))

rewrite75.0ms

Algorithm
rewrite-expression-head
Rules
181×times-frac
116×add-sqr-sqrt
108×add-cube-cbrt *-un-lft-identity
106×cbrt-prod
95×add-exp-log
55×associate-*r*
50×prod-exp
40×add-cbrt-cube
28×cbrt-unprod
26×cbrt-div
22×frac-times
21×div-exp
18×pow1
16×associate-*r/ associate-*l/ associate-/l*
14×associate-*l*
12×cbrt-undiv
11×div-inv
9×pow-prod-down
5×rec-exp 1-exp
4×associate-/r/ add-log-exp unswap-sqr
3×associate-/r*
2×flip3-+ *-commutative flip-+
1×frac-2neg pow1/3 clear-num associate-/l/
Counts
4 → 258
Calls
4 calls:
2.0ms
(cbrt (/ 1.0 x))
8.0ms
(/ (cbrt (/ 1.0 x)) (+ 1.0 (* z z)))
25.0ms
(* (* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x))) (/ (cbrt (/ 1.0 x)) (+ 1.0 (* z z))))
26.0ms
(* (/ 1 y) (* (* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x))) (/ (cbrt (/ 1.0 x)) (+ 1.0 (* z z)))))

series110.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(cbrt (/ 1.0 x))
36.0ms
(/ (cbrt (/ 1.0 x)) (+ 1.0 (* z z)))
21.0ms
(* (* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x))) (/ (cbrt (/ 1.0 x)) (+ 1.0 (* z z))))
29.0ms
(* (/ 1 y) (* (* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x))) (/ (cbrt (/ 1.0 x)) (+ 1.0 (* z z)))))

simplify66.0ms

Algorithm
egg-herbie
Counts
270 → 270
Iterations

Useful iterations: 1 (32.0ms)

IterNodesCost
011853456
150012954

prune688.0ms

Filtered
212 candidates to 270 candidates (-27.4%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New2700270
Fresh044
Picked011
Done011
Total2706276

Merged error: 7.0b

Counts
276 → 6

regimes506.0ms

Accuracy

0% (1.5b remaining)

Error of 6.4b against oracle of 4.9b and baseline of 6.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0166
1166

end0.0ms

sample570.0ms

Algorithm
intervals
Results
316.0ms8677×body80valid

Profiling

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