Details

Time bar (total: 2.3s)

sample20.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0149
1149

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 7.9b

Counts
2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

7.9b
(/ (+ x y) (- 1.0 (/ y z)))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
37×*-un-lft-identity
29×times-frac
13×add-cube-cbrt
10×difference-of-squares
7×distribute-lft-out
6×associate-/r*
5×distribute-lft-out--
4×associate-/l*
3×add-exp-log add-cbrt-cube
2×associate-/r/ associate-/l/
1×pow1 cbrt-undiv flip3-- frac-2neg flip3-+ div-exp clear-num flip-- flip-+ div-inv add-log-exp
Counts
1 → 50
Calls
1 calls:
10.0ms
(/ (+ x y) (- 1.0 (/ y z)))

series10.0ms

Counts
1 → 3
Calls
1 calls:
10.0ms
(/ (+ x y) (- 1.0 (/ y z)))

simplify64.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 0 (58.0ms)

IterNodesCost
04960775
14960775

prune94.0ms

Filtered
35 candidates to 53 candidates (-51.4%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New431053
Fresh000
Picked011
Done000
Total431154

Merged error: 6.7b

Counts
54 → 11

localize7.0ms

Local error

Found 2 expressions with local error:

0.5b
(/ 1 (- 1.0 (/ y z)))
7.3b
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
66×add-sqr-sqrt
45×times-frac
41×*-un-lft-identity
24×add-cube-cbrt associate-*r*
15×add-exp-log
14×difference-of-squares
9×add-cbrt-cube
7×distribute-lft-out--
6×associate-/r*
5×pow1
4×div-exp associate-*l* prod-exp associate-/r/
3×associate-/l* unswap-sqr
2×cbrt-undiv frac-times rec-exp flip3-- flip3-+ 1-exp associate-*l/ flip-- cbrt-unprod flip-+ div-inv add-log-exp
1×pow-flip frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv *-commutative distribute-lft-out inv-pow
Counts
2 → 97
Calls
2 calls:
10.0ms
(/ 1 (- 1.0 (/ y z)))
15.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

series15.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(/ 1 (- 1.0 (/ y z)))
10.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

simplify53.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
053081114

prune132.0ms

Filtered
60 candidates to 103 candidates (-71.7%)
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New985103
Fresh549
Picked011
Done011
Total10311114

Merged error: 6.7b

Counts
114 → 11

localize11.0ms

Local error

Found 4 expressions with local error:

1.7b
(* (+ x y) (* (cbrt (/ 1 (- 1.0 (/ y z)))) (cbrt (/ 1 (- 1.0 (/ y z))))))
7.5b
(cbrt (/ 1 (- 1.0 (/ y z))))
7.5b
(cbrt (/ 1 (- 1.0 (/ y z))))
7.5b
(cbrt (/ 1 (- 1.0 (/ y z))))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
81×add-sqr-sqrt
72×cbrt-prod
63×times-frac
55×*-un-lft-identity
35×add-cube-cbrt
18×difference-of-squares
15×cbrt-div
9×pow1 add-exp-log frac-times distribute-lft-out--
7×add-cbrt-cube
6×associate-*r/ associate-/r/
5×associate-*l/
4×flip3-+ associate-*l* flip-+ add-log-exp
3×flip3-- pow1/3 pow-prod-down prod-exp flip-- cbrt-unprod div-inv
1×associate-*r* *-commutative distribute-lft-out unswap-sqr
Counts
4 → 130
Calls
4 calls:
22.0ms
(* (+ x y) (* (cbrt (/ 1 (- 1.0 (/ y z)))) (cbrt (/ 1 (- 1.0 (/ y z))))))
10.0ms
(cbrt (/ 1 (- 1.0 (/ y z))))
7.0ms
(cbrt (/ 1 (- 1.0 (/ y z))))
7.0ms
(cbrt (/ 1 (- 1.0 (/ y z))))

series167.0ms

Counts
4 → 12
Calls
4 calls:
56.0ms
(* (+ x y) (* (cbrt (/ 1 (- 1.0 (/ y z)))) (cbrt (/ 1 (- 1.0 (/ y z))))))
36.0ms
(cbrt (/ 1 (- 1.0 (/ y z))))
39.0ms
(cbrt (/ 1 (- 1.0 (/ y z))))
36.0ms
(cbrt (/ 1 (- 1.0 (/ y z))))

simplify63.0ms

Algorithm
egg-herbie
Counts
142 → 142
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
053012086

prune220.0ms

Filtered
78 candidates to 142 candidates (-82.1%)
Pruning

11 alts after pruning (8 fresh and 3 done)

PrunedKeptTotal
New1420142
Fresh088
Picked011
Done022
Total14211153

Merged error: 6.7b

Counts
153 → 11

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (+ x y))
0.5b
(* (cbrt (+ x y)) (cbrt (+ x y)))
3.8b
(* (* (cbrt (+ x y)) (cbrt (+ x y))) (/ (cbrt (+ x y)) (- 1.0 (/ y z))))
4.1b
(/ (cbrt (+ x y)) (- 1.0 (/ y z)))

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
143×add-sqr-sqrt
127×*-un-lft-identity
101×times-frac
81×cbrt-prod
55×add-cube-cbrt associate-*r*
40×cbrt-div
30×difference-of-squares
20×add-exp-log frac-times flip3-+ flip-+ distribute-lft-out
16×pow1
15×distribute-lft-out--
14×associate-*l/
11×add-cbrt-cube
9×swap-sqr
8×associate-*l*
7×pow1/3 associate-*r/ prod-exp cbrt-unprod associate-/l* unswap-sqr
6×associate-/r*
5×pow-prod-down
4×associate-/r/ add-log-exp
3×cbrt-undiv div-exp
2×flip3-- pow-sqr *-commutative pow-prod-up flip-- div-inv associate-/l/
1×pow2 frac-2neg pow-plus clear-num
Counts
4 → 225
Calls
4 calls:
3.0ms
(cbrt (+ x y))
11.0ms
(* (cbrt (+ x y)) (cbrt (+ x y)))
27.0ms
(* (* (cbrt (+ x y)) (cbrt (+ x y))) (/ (cbrt (+ x y)) (- 1.0 (/ y z))))
10.0ms
(/ (cbrt (+ x y)) (- 1.0 (/ y z)))

series148.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(cbrt (+ x y))
37.0ms
(* (cbrt (+ x y)) (cbrt (+ x y)))
13.0ms
(* (* (cbrt (+ x y)) (cbrt (+ x y))) (/ (cbrt (+ x y)) (- 1.0 (/ y z))))
69.0ms
(/ (cbrt (+ x y)) (- 1.0 (/ y z)))

simplify63.0ms

Algorithm
egg-herbie
Counts
237 → 237
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
050003573

prune224.0ms

Filtered
148 candidates to 237 candidates (-60.1%)
Pruning

12 alts after pruning (8 fresh and 4 done)

PrunedKeptTotal
New2361237
Fresh077
Picked011
Done033
Total23612248

Merged error: 6.6b

Counts
248 → 12

regimes320.0ms

Accuracy

0% (1.9b remaining)

Error of 7.5b against oracle of 5.6b and baseline of 7.5b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
099
199

end0.0ms

sample547.0ms

Algorithm
intervals
Results
251.0ms8000×body80valid

Profiling

Loading profile data...