Details

Time bar (total: 3.6s)

sample20.0ms

Algorithm
intervals
Results
10.0ms328×body80valid

simplify111.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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: 14.2b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (* z z) (+ z 1.0))
13.7b
(/ (* x y) (* (* z z) (+ z 1.0)))

rewrite20.0ms

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)))

series124.0ms

Counts
2 → 6
Calls
2 calls:
53.0ms
(* (* z z) (+ z 1.0))
70.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

simplify63.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
0387405
12384314
25001313

prune98.0ms

Filtered
61 candidates to 37 candidates (60.7%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New52961
Fresh000
Picked101
Done000
Total53962

Merged error: 7.7b

Counts
62 → 9

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (+ z 1.0))
6.1b
(* (/ x (* z z)) (/ y (+ z 1.0)))
8.5b
(/ x (* z z))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
38×*-un-lft-identity
34×add-sqr-sqrt times-frac
31×add-exp-log add-cbrt-cube
24×add-cube-cbrt
18×associate-*r*
10×cbrt-undiv div-exp
9×prod-exp cbrt-unprod
7×associate-*l* distribute-lft-out
6×associate-/l*
5×pow1 associate-/r*
4×associate-/r/ div-inv unswap-sqr
3×expm1-log1p-u log1p-expm1-u add-log-exp
2×frac-2neg flip3-+ clear-num flip-+
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
3 → 113
Calls
3 calls:
5.0ms
(/ y (+ z 1.0))
15.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
5.0ms
(/ x (* z z))

series107.0ms

Counts
3 → 9
Calls
3 calls:
31.0ms
(/ y (+ z 1.0))
54.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
22.0ms
(/ x (* z z))

simplify62.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0534730
12689629
25003629

prune228.0ms

Filtered
122 candidates to 84 candidates (68.9%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New11210122
Fresh628
Picked101
Done000
Total11912131

Merged error: 0.0b

Counts
131 → 12

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
0.9b
(* (/ (* (cbrt x) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0))))

rewrite22.0ms

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))))

series595.0ms

Counts
4 → 12
Calls
4 calls:
174.0ms
(cbrt x)
177.0ms
(cbrt x)
169.0ms
(cbrt x)
74.0ms
(* (/ (* (cbrt x) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0))))

simplify66.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
0537999
12849711
25001607

prune200.0ms

Filtered
108 candidates to 68 candidates (63.0%)
Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New1044108
Fresh3811
Picked011
Done000
Total10713120

Merged error: 0.0b

Counts
120 → 13

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
0.9b
(* (/ (* (cbrt x) (cbrt x)) z) (* (/ (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x))) z) (/ y (+ z 1.0))))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
157×add-exp-log
115×add-cbrt-cube
78×prod-exp cbrt-unprod
48×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 → 120
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
22.0ms
(* (/ (* (cbrt x) (cbrt x)) z) (* (/ (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x))) z) (/ y (+ z 1.0))))

series626.0ms

Counts
4 → 12
Calls
4 calls:
178.0ms
(cbrt x)
185.0ms
(cbrt x)
183.0ms
(cbrt x)
81.0ms
(* (/ (* (cbrt x) (cbrt x)) z) (* (/ (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x))) z) (/ y (+ z 1.0))))

simplify95.0ms

Algorithm
egg-herbie
Counts
132 → 132
Iterations

Useful iterations: 2 (81.0ms)

IterNodesCost
07622276
144441357
250011064

prune230.0ms

Filtered
132 candidates to 67 candidates (50.8%)
Pruning

13 alts after pruning (11 fresh and 2 done)

PrunedKeptTotal
New1320132
Fresh01111
Picked011
Done011
Total13213145

Merged error: 0.0b

Counts
145 → 13

regimes240.0ms

Accuracy

0% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 1.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01510
11510

end0.0ms

sample574.0ms

Algorithm
intervals
Results
348.0ms10737×body80valid