Details

Time bar (total: 3.8s)

sample22.0ms

Algorithm
intervals
Results
10.0ms347×body80valid

simplify118.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0275
1785
21795
32775
43755
54885
69775
725115
850025

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: 18.8b

Counts
2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (* z z) (+ z 1.0))
18.4b
(/ (* x y) (* (* z z) (+ z 1.0)))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
28×add-exp-log add-cbrt-cube
12×prod-exp cbrt-unprod
7×pow1
6×cbrt-undiv div-exp
5×*-un-lft-identity
4×add-sqr-sqrt associate-*r/ associate-*r*
3×add-cube-cbrt pow-prod-down
2×expm1-log1p-u flip3-+ associate-/r/ flip-+ log1p-expm1-u add-log-exp
1×distribute-rgt-in frac-2neg distribute-lft-in times-frac associate-*l* clear-num associate-/r* *-commutative div-inv distribute-lft-out associate-/l* unswap-sqr
Counts
2 → 55
Calls
2 calls:
8.0ms
(* (* z z) (+ z 1.0))
10.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

series117.0ms

Counts
2 → 6
Calls
2 calls:
48.0ms
(* (* z z) (+ z 1.0))
69.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

simplify66.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
0387405
12384314
25001313

prune99.0ms

Filtered
61 candidates to 37 candidates (60.7%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New54761
Fresh000
Picked101
Done000
Total55762

Merged error: 9.7b

Counts
62 → 7

localize7.0ms

Local error

Found 2 expressions with local error:

6.1b
(* (/ x (* z z)) (/ y (+ z 1.0)))
10.4b
(/ x (* z z))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
28×add-exp-log add-cbrt-cube
24×add-sqr-sqrt
22×times-frac
20×*-un-lft-identity
18×associate-*r*
14×add-cube-cbrt
9×cbrt-undiv div-exp prod-exp cbrt-unprod
7×associate-*l*
4×pow1 unswap-sqr
3×div-inv distribute-lft-out associate-/l*
2×expm1-log1p-u associate-/r/ log1p-expm1-u add-log-exp
1×frac-times frac-2neg flip3-+ associate-*r/ pow-prod-down associate-*l/ clear-num associate-/r* *-commutative flip-+
Counts
2 → 78
Calls
2 calls:
16.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
5.0ms
(/ x (* z z))

series98.0ms

Counts
2 → 6
Calls
2 calls:
76.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
22.0ms
(/ x (* z z))

simplify84.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 1 (20.0ms)

IterNodesCost
0474544
12399458
25002458

prune147.0ms

Filtered
84 candidates to 56 candidates (66.7%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New78684
Fresh426
Picked011
Done000
Total82991

Merged error: 0.0b

Counts
91 → 9

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(* (/ (* (cbrt x) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0))))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
73×add-exp-log
57×add-cbrt-cube
32×prod-exp cbrt-unprod
22×cbrt-undiv div-exp
9×pow1 cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity
7×associate-*l*
5×frac-times associate-*r/
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×times-frac pow1/3 pow-prod-down associate-*l/
1×associate-*r* *-commutative div-inv
Counts
4 → 96
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
15.0ms
(* (/ (* (cbrt x) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0))))

series619.0ms

Counts
4 → 12
Calls
4 calls:
184.0ms
(cbrt x)
179.0ms
(cbrt x)
183.0ms
(cbrt x)
72.0ms
(* (/ (* (cbrt x) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0))))

simplify78.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
0537999
12849711
25001607

prune195.0ms

Filtered
108 candidates to 68 candidates (63.0%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New1071108
Fresh077
Picked011
Done011
Total10710117

Merged error: 0.0b

Counts
117 → 10

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b
(* (/ (* (cbrt x) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0))))
23.4b
(cbrt (* (/ (* (cbrt x) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0)))))
23.4b
(cbrt (* (/ (* (cbrt x) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0)))))
23.4b
(cbrt (* (/ (* (cbrt x) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0)))))

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
73×add-exp-log
57×add-cbrt-cube
32×prod-exp cbrt-unprod
22×cbrt-undiv div-exp
21×cbrt-div
20×frac-times associate-*r/
12×associate-*l/
9×pow1
7×associate-*l*
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×cbrt-prod times-frac pow1/3 pow-prod-down
1×associate-*r* *-commutative div-inv
Counts
4 → 111
Calls
4 calls:
17.0ms
(* (/ (* (cbrt x) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0))))
13.0ms
(cbrt (* (/ (* (cbrt x) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0)))))
13.0ms
(cbrt (* (/ (* (cbrt x) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0)))))
13.0ms
(cbrt (* (/ (* (cbrt x) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0)))))

series667.0ms

Counts
4 → 12
Calls
4 calls:
81.0ms
(* (/ (* (cbrt x) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0))))
194.0ms
(cbrt (* (/ (* (cbrt x) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0)))))
195.0ms
(cbrt (* (/ (* (cbrt x) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0)))))
197.0ms
(cbrt (* (/ (* (cbrt x) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0)))))

simplify82.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 2 (66.0ms)

IterNodesCost
06701962
131621583
250011467

prune332.0ms

Filtered
123 candidates to 83 candidates (67.5%)
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New1230123
Fresh077
Picked011
Done022
Total12310133

Merged error: 0.0b

Counts
133 → 10

regimes350.0ms

Accuracy

0% (1.2b remaining)

Error of 1.3b against oracle of 0.1b and baseline of 1.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01510
11510

end0.0ms

sample551.0ms

Algorithm
intervals
Results
309.0ms10800×body80valid