Details

Time bar (total: 3.5s)

sample22.0ms

Algorithm
intervals
Results
11.0ms343×body80valid

simplify114.0ms

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: 16.5b

Counts
2 → 1

localize11.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (* z z) (+ z 1.0))
16.1b
(/ (* 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:
7.0ms
(* (* z z) (+ z 1.0))
10.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

series142.0ms

Counts
2 → 6
Calls
2 calls:
50.0ms
(* (* z z) (+ z 1.0))
91.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

simplify59.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0387405
12384314
25001313

prune107.0ms

Filtered
61 candidates to 37 candidates (60.7%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New501161
Fresh000
Picked101
Done000
Total511162

Merged error: 9.0b

Counts
62 → 11

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite20.0ms

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:
13.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
4.0ms
(/ x (* z z))

series72.0ms

Counts
2 → 6
Calls
2 calls:
48.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
24.0ms
(/ x (* z z))

simplify55.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0474544
12399458
25002458

prune154.0ms

Filtered
84 candidates to 56 candidates (66.7%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New75984
Fresh8210
Picked101
Done000
Total841195

Merged error: 0.3b

Counts
95 → 11

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))))

series610.0ms

Counts
4 → 12
Calls
4 calls:
173.0ms
(cbrt x)
175.0ms
(cbrt x)
187.0ms
(cbrt x)
74.0ms
(* (/ (* (cbrt x) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0))))

simplify70.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
0537999
12849711
25001607

prune206.0ms

Filtered
108 candidates to 68 candidates (63.0%)
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New1053108
Fresh2810
Picked011
Done000
Total10712119

Merged error: 0.0b

Counts
119 → 12

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
6.1b
(cbrt (/ (* (cbrt x) (cbrt x)) z))
6.1b
(cbrt (/ (* (cbrt x) (cbrt x)) z))
6.1b
(cbrt (/ (* (cbrt x) (cbrt x)) z))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
24×cbrt-prod
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
4×pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
3×cbrt-div div-inv
Counts
4 → 67
Calls
4 calls:
1.0ms
(cbrt x)
4.0ms
(cbrt (/ (* (cbrt x) (cbrt x)) z))
4.0ms
(cbrt (/ (* (cbrt x) (cbrt x)) z))
4.0ms
(cbrt (/ (* (cbrt x) (cbrt x)) z))

series753.0ms

Counts
4 → 12
Calls
4 calls:
175.0ms
(cbrt x)
195.0ms
(cbrt (/ (* (cbrt x) (cbrt x)) z))
191.0ms
(cbrt (/ (* (cbrt x) (cbrt x)) z))
192.0ms
(cbrt (/ (* (cbrt x) (cbrt x)) z))

simplify44.0ms

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 3 (37.0ms)

IterNodesCost
0119532
1272496
21026476
35001469

prune240.0ms

Filtered
79 candidates to 71 candidates (89.9%)
Pruning

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New79079
Fresh01010
Picked011
Done011
Total791291

Merged error: 0.0b

Counts
91 → 12

regimes177.0ms

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

sample580.0ms

Algorithm
intervals
Results
358.0ms10721×body80valid