Details

Time bar (total: 3.1s)

sample23.0ms

Algorithm
intervals
Results
12.0ms352×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: 16.1b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (* z z) (+ z 1.0))
15.6b
(/ (* 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)))

series114.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(* (* z z) (+ z 1.0))
67.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

simplify67.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
0387405
12384314
25001313

prune305.0ms

Filtered
61 candidates to 37 candidates (60.7%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New491261
Fresh000
Picked101
Done000
Total501262

Merged error: 8.3b

Counts
62 → 12

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (+ z 1.0))
6.9b
(* (/ x (* z z)) (/ y (+ z 1.0)))
10.4b
(/ x (* z z))

rewrite26.0ms

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

series105.0ms

Counts
3 → 9
Calls
3 calls:
31.0ms
(/ y (+ z 1.0))
52.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
22.0ms
(/ x (* z z))

simplify62.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
0534730
12689629
25003629

prune214.0ms

Filtered
122 candidates to 84 candidates (68.9%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New1157122
Fresh9211
Picked101
Done000
Total1259134

Merged error: 0.0b

Counts
134 → 9

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (+ z 1.0))
1.3b
(* (/ 1 z) (* (/ x z) (/ y (+ z 1.0))))
2.2b
(* (/ x z) (/ y (+ z 1.0)))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
94×add-exp-log
58×add-cbrt-cube
48×*-un-lft-identity
46×add-sqr-sqrt times-frac
40×prod-exp
34×add-cube-cbrt
31×div-exp
26×associate-*l*
22×cbrt-unprod
19×associate-*r*
18×cbrt-undiv
10×pow1
7×distribute-lft-out
6×frac-times associate-*r/
5×rec-exp 1-exp
4×pow-prod-down associate-*l/ associate-/r* associate-/r/ div-inv unswap-sqr
3×expm1-log1p-u log1p-expm1-u associate-/l* add-log-exp
2×flip3-+ *-commutative flip-+
1×frac-2neg clear-num
Counts
3 → 155
Calls
3 calls:
5.0ms
(/ y (+ z 1.0))
13.0ms
(* (/ 1 z) (* (/ x z) (/ y (+ z 1.0))))
13.0ms
(* (/ x z) (/ y (+ z 1.0)))

series122.0ms

Counts
3 → 9
Calls
3 calls:
31.0ms
(/ y (+ z 1.0))
46.0ms
(* (/ 1 z) (* (/ x z) (/ y (+ z 1.0))))
44.0ms
(* (/ x z) (/ y (+ z 1.0)))

simplify101.0ms

Algorithm
egg-herbie
Counts
164 → 164
Iterations

Useful iterations: 1 (22.0ms)

IterNodesCost
07951149
14362939
25001939

prune266.0ms

Filtered
164 candidates to 102 candidates (62.2%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New1577164
Fresh538
Picked101
Done000
Total16310173

Merged error: 0.0b

Counts
173 → 10

localize12.0ms

Local error

Found 4 expressions with local error:

0.4b
(cbrt (+ z 1.0))
0.4b
(cbrt (+ z 1.0))
1.3b
(* (/ 1 z) (* (/ (/ x z) (* (cbrt (+ z 1.0)) (cbrt (+ z 1.0)))) (/ y (cbrt (+ z 1.0)))))
3.2b
(* (/ (/ x z) (* (cbrt (+ z 1.0)) (cbrt (+ z 1.0)))) (/ y (cbrt (+ z 1.0))))

rewrite76.0ms

Algorithm
rewrite-expression-head
Rules
268×add-exp-log
123×add-cbrt-cube
114×prod-exp
107×div-exp
67×times-frac
64×cbrt-unprod
62×cbrt-undiv add-sqr-sqrt
45×*-un-lft-identity
38×associate-*l*
35×add-cube-cbrt
28×associate-*r*
23×cbrt-prod
18×cbrt-div
11×pow1 rec-exp 1-exp
10×frac-times associate-/r/
9×flip3-+ flip-+ unswap-sqr
8×associate-*r/
6×associate-*l/
5×distribute-lft-out
4×expm1-log1p-u pow-prod-down log1p-expm1-u div-inv add-log-exp
2×pow1/3 *-commutative
Counts
4 → 226
Calls
4 calls:
6.0ms
(cbrt (+ z 1.0))
3.0ms
(cbrt (+ z 1.0))
25.0ms
(* (/ 1 z) (* (/ (/ x z) (* (cbrt (+ z 1.0)) (cbrt (+ z 1.0)))) (/ y (cbrt (+ z 1.0)))))
30.0ms
(* (/ (/ x z) (* (cbrt (+ z 1.0)) (cbrt (+ z 1.0)))) (/ y (cbrt (+ z 1.0))))

series261.0ms

Counts
4 → 12
Calls
4 calls:
84.0ms
(cbrt (+ z 1.0))
84.0ms
(cbrt (+ z 1.0))
48.0ms
(* (/ 1 z) (* (/ (/ x z) (* (cbrt (+ z 1.0)) (cbrt (+ z 1.0)))) (/ y (cbrt (+ z 1.0)))))
45.0ms
(* (/ (/ x z) (* (cbrt (+ z 1.0)) (cbrt (+ z 1.0)))) (/ y (cbrt (+ z 1.0))))

simplify56.0ms

Algorithm
egg-herbie
Counts
238 → 238
Iterations

Useful iterations: 1 (30.0ms)

IterNodesCost
013343421
150022810

prune431.0ms

Filtered
238 candidates to 145 candidates (60.9%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New2380238
Fresh099
Picked011
Done000
Total23810248

Merged error: 0.0b

Counts
248 → 10

regimes189.0ms

Accuracy

0% (3.0b remaining)

Error of 3.0b against oracle of 0.0b and baseline of 3.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01913
11913

end0.0ms

sample514.0ms

Algorithm
intervals
Results
296.0ms10737×body80valid