Details

Time bar (total: 3.6s)

sample19.0ms

Algorithm
intervals
Results
9.0ms265×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

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 7.9b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

4.3b
(* y (+ 1.0 (* z z)))
5.0b
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))

rewrite16.0ms

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

series111.0ms

Counts
2 → 6
Calls
2 calls:
50.0ms
(* y (+ 1.0 (* z z)))
60.0ms
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))

simplify52.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0409511
11963443
25001443

prune149.0ms

Filtered
76 candidates to 56 candidates (73.7%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New70676
Fresh000
Picked011
Done000
Total70777

Merged error: 6.0b

Counts
77 → 7

localize7.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ (/ 1.0 y) x)
7.3b
(/ (/ (/ 1.0 y) x) (+ 1.0 (* z z)))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
468×times-frac
228×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
56×associate-/l*
22×div-inv
16×add-exp-log add-cbrt-cube
9×cbrt-undiv div-exp
6×associate-/r*
2×pow1 frac-2neg clear-num associate-/r/ associate-/l/ add-log-exp
1×flip3-+ flip-+
Counts
2 → 264
Calls
2 calls:
6.0ms
(/ (/ 1.0 y) x)
15.0ms
(/ (/ (/ 1.0 y) x) (+ 1.0 (* z z)))

series75.0ms

Counts
2 → 6
Calls
2 calls:
18.0ms
(/ (/ 1.0 y) x)
56.0ms
(/ (/ (/ 1.0 y) x) (+ 1.0 (* z z)))

simplify113.0ms

Algorithm
egg-herbie
Counts
270 → 270
Iterations

Useful iterations: 1 (26.0ms)

IterNodesCost
011322994
145722919
250022919

prune628.0ms

Filtered
270 candidates to 233 candidates (86.3%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New2673270
Fresh325
Picked011
Done011
Total2707277

Merged error: 6.0b

Counts
277 → 7

localize24.0ms

Local error

Found 4 expressions with local error:

4.0b
(/ (/ (* (cbrt (/ 1.0 y)) (cbrt (/ 1.0 y))) (* (cbrt x) (cbrt x))) (* (cbrt (+ 1.0 (* z z))) (cbrt (+ 1.0 (* z z)))))
18.6b
(cbrt (+ 1.0 (* z z)))
18.6b
(cbrt (+ 1.0 (* z z)))
18.6b
(cbrt (+ 1.0 (* z z)))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
45×add-exp-log
19×add-cbrt-cube
18×cbrt-undiv cbrt-div div-exp
13×prod-exp cbrt-unprod
9×cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity flip3-+ flip-+
8×associate-/r/
7×times-frac
5×associate-/l*
4×pow1 frac-times add-log-exp
3×pow1/3 div-inv
2×associate-*r/ associate-*l/
1×frac-2neg clear-num associate-/r* associate-/l/
Counts
4 → 89
Calls
4 calls:
31.0ms
(/ (/ (* (cbrt (/ 1.0 y)) (cbrt (/ 1.0 y))) (* (cbrt x) (cbrt x))) (* (cbrt (+ 1.0 (* z z))) (cbrt (+ 1.0 (* z z)))))
4.0ms
(cbrt (+ 1.0 (* z z)))
4.0ms
(cbrt (+ 1.0 (* z z)))
3.0ms
(cbrt (+ 1.0 (* z z)))

series770.0ms

Counts
4 → 12
Calls
4 calls:
240.0ms
(/ (/ (* (cbrt (/ 1.0 y)) (cbrt (/ 1.0 y))) (* (cbrt x) (cbrt x))) (* (cbrt (+ 1.0 (* z z))) (cbrt (+ 1.0 (* z z)))))
166.0ms
(cbrt (+ 1.0 (* z z)))
166.0ms
(cbrt (+ 1.0 (* z z)))
198.0ms
(cbrt (+ 1.0 (* z z)))

simplify64.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
06151521
124971265
250011187

prune340.0ms

Filtered
101 candidates to 74 candidates (73.3%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New1001101
Fresh044
Picked011
Done022
Total1008108

Merged error: 6.0b

Counts
108 → 8

localize7.0ms

Local error

Found 2 expressions with local error:

3.8b
(* (+ 1.0 (* z z)) x)
4.8b
(/ (/ 1.0 y) (* (+ 1.0 (* z z)) x))

rewrite19.0ms

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-*l/
3×associate-*r* associate-*l* prod-exp cbrt-unprod div-inv
2×flip3-+ associate-/r/ flip-+ add-log-exp
1×frac-2neg pow-prod-down clear-num associate-/r* *-commutative associate-/l/ unswap-sqr
Counts
2 → 68
Calls
2 calls:
9.0ms
(* (+ 1.0 (* z z)) x)
8.0ms
(/ (/ 1.0 y) (* (+ 1.0 (* z z)) x))

series99.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(* (+ 1.0 (* z z)) x)
61.0ms
(/ (/ 1.0 y) (* (+ 1.0 (* z z)) x))

simplify48.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0408524
11864453
25002453

prune120.0ms

Filtered
74 candidates to 54 candidates (73.0%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New73174
Fresh134
Picked011
Done123
Total75782

Merged error: 6.0b

Counts
82 → 7

regimes287.0ms

Accuracy

0% (1.1b remaining)

Error of 6.2b against oracle of 5.1b and baseline of 6.2b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02026
12026

end0.0ms

sample496.0ms

Algorithm
intervals
Results
308.0ms8581×body80valid