Details

Time bar (total: 3.3s)

sample34.0ms

Algorithm
intervals
Results
10.0ms308×body80nan
7.0ms279×body80valid

simplify15.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0215
1475
2715
31035
41245
51385
61485
71485

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: 0.4b

Counts
2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (* y (sqrt z)))
0.2b
(* (/ 1.0 2.0) (+ x (* y (sqrt z))))
0.2b
(* y (sqrt z))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
16×associate-*l*
14×add-cube-cbrt *-un-lft-identity
10×add-exp-log times-frac add-cbrt-cube
9×associate-*r*
7×pow1
5×add-log-exp
4×sqrt-prod unswap-sqr
3×flip3-+ prod-exp cbrt-unprod flip-+
2×frac-times associate-*r/ pow-prod-down *-commutative
1×cbrt-undiv +-commutative distribute-rgt-in distribute-lft-in div-exp associate-*l/ sum-log div-inv
Counts
3 → 71
Calls
3 calls:
3.0ms
(+ x (* y (sqrt z)))
8.0ms
(* (/ 1.0 2.0) (+ x (* y (sqrt z))))
5.0ms
(* y (sqrt z))

series122.0ms

Counts
3 → 9
Calls
3 calls:
31.0ms
(+ x (* y (sqrt z)))
46.0ms
(* (/ 1.0 2.0) (+ x (* y (sqrt z))))
45.0ms
(* y (sqrt z))

simplify58.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0484496
12019440
25002435

prune177.0ms

Filtered
80 candidates to 60 candidates (75.0%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New701080
Fresh000
Picked011
Done000
Total701181

Merged error: 0.2b

Counts
81 → 11

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (sqrt z))
0.2b
(* (/ 1.0 2.0) (+ x (* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))))
0.2b
(* y (sqrt (sqrt z)))
0.3b
(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
34×add-sqr-sqrt
31×sqrt-prod
21×add-cube-cbrt *-un-lft-identity associate-*r*
17×associate-*l*
16×add-exp-log add-cbrt-cube
15×pow1
10×times-frac
6×prod-exp cbrt-unprod
5×pow-prod-down unswap-sqr
4×sqrt-pow1 add-log-exp
3×*-commutative
2×frac-times rem-sqrt-square flip3-+ pow1/2 associate-*r/ flip-+
1×cbrt-undiv distribute-rgt-in distribute-lft-in div-exp associate-*l/ div-inv
Counts
4 → 107
Calls
4 calls:
2.0ms
(sqrt (sqrt z))
7.0ms
(* (/ 1.0 2.0) (+ x (* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))))
6.0ms
(* y (sqrt (sqrt z)))
9.0ms
(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

series315.0ms

Counts
4 → 12
Calls
4 calls:
143.0ms
(sqrt (sqrt z))
51.0ms
(* (/ 1.0 2.0) (+ x (* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))))
80.0ms
(* y (sqrt (sqrt z)))
41.0ms
(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

simplify76.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 2 (66.0ms)

IterNodesCost
0664870
12953718
25003705

prune249.0ms

Filtered
119 candidates to 78 candidates (65.5%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New1181119
Fresh189
Picked011
Done101
Total12010130

Merged error: 0.0b

Counts
130 → 10

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* (/ 1.0 2.0) x) (* (* (/ 1.0 2.0) y) (sqrt z)))
0.2b
(* (* (/ 1.0 2.0) y) (sqrt z))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
11×add-exp-log add-cbrt-cube
7×pow1
6×associate-*r*
5×associate-*l/ prod-exp cbrt-unprod
4×add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-log-exp
3×pow-prod-down sqrt-prod
1×cbrt-undiv +-commutative flip3-+ div-exp associate-*l* frac-add sum-log *-commutative flip-+
Counts
2 → 36
Calls
2 calls:
6.0ms
(+ (* (/ 1.0 2.0) x) (* (* (/ 1.0 2.0) y) (sqrt z)))
8.0ms
(* (* (/ 1.0 2.0) y) (sqrt z))

series114.0ms

Counts
2 → 6
Calls
2 calls:
56.0ms
(+ (* (/ 1.0 2.0) x) (* (* (/ 1.0 2.0) y) (sqrt z)))
57.0ms
(* (* (/ 1.0 2.0) y) (sqrt z))

simplify50.0ms

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0341324
11516275
25001254

prune86.0ms

Filtered
42 candidates to 28 candidates (66.7%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New42042
Fresh088
Picked011
Done011
Total421052

Merged error: 0.0b

Counts
52 → 10

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* y (sqrt z))) (cbrt (* y (sqrt z))))
4.3b
(cbrt (* y (sqrt z)))
4.3b
(cbrt (* y (sqrt z)))
4.3b
(cbrt (* y (sqrt z)))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1
10×add-sqr-sqrt
9×pow1/3
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 58
Calls
4 calls:
5.0ms
(* (cbrt (* y (sqrt z))) (cbrt (* y (sqrt z))))
3.0ms
(cbrt (* y (sqrt z)))
3.0ms
(cbrt (* y (sqrt z)))
3.0ms
(cbrt (* y (sqrt z)))

series513.0ms

Counts
4 → 12
Calls
4 calls:
129.0ms
(* (cbrt (* y (sqrt z))) (cbrt (* y (sqrt z))))
129.0ms
(cbrt (* y (sqrt z)))
131.0ms
(cbrt (* y (sqrt z)))
123.0ms
(cbrt (* y (sqrt z)))

simplify105.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 3 (99.0ms)

IterNodesCost
0217499
1744436
23694400
35002394

prune177.0ms

Filtered
70 candidates to 53 candidates (75.7%)
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New70070
Fresh077
Picked011
Done022
Total701080

Merged error: 0.0b

Counts
80 → 10

regimes288.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0157
1157

end0.0ms

sample802.0ms

Algorithm
intervals
Results
230.0ms8498×body80valid
216.0ms8505×body80nan