Details

Time bar (total: 5.4s)

sample27.0ms

Algorithm
intervals
Results
13.0ms269×body80valid

simplify111.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0238
1378
2658
3948
41088
51328
62018
73598
88258
932128
1050018

prune3.0ms

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: 25.3b

Counts
2 → 1

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(* z (- t a))
0.0b
(* z (- b y))
0.7b
(+ (* x y) (* z (- t a)))
24.4b
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
20×*-un-lft-identity
16×add-cube-cbrt
10×add-exp-log associate-*r* add-cbrt-cube
9×times-frac
8×pow1
6×distribute-rgt-in sub-neg distribute-lft-in associate-*l* add-log-exp
4×associate-+r+ associate-*r/
3×flip3-+ associate-/r* flip-+ associate-/l*
2×flip3-- pow-prod-down prod-exp associate-/r/ *-commutative flip-- cbrt-unprod associate-/l/ distribute-lft-out-- difference-of-squares unswap-sqr
1×cbrt-undiv +-commutative frac-2neg div-exp clear-num sum-log div-inv
Counts
4 → 98
Calls
4 calls:
6.0ms
(* z (- t a))
6.0ms
(* z (- b y))
7.0ms
(+ (* x y) (* z (- t a)))
7.0ms
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

series406.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(* z (- t a))
33.0ms
(* z (- b y))
42.0ms
(+ (* x y) (* z (- t a)))
296.0ms
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

simplify70.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 1 (16.0ms)

IterNodesCost
0401714
11759659
25001659

prune269.0ms

Filtered
110 candidates to 74 candidates (67.3%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New9911110
Fresh000
Picked101
Done000
Total10011111

Merged error: 24.6b

Counts
111 → 11

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(* z (- b y))
0.4b
(/ 1 (+ y (* z (- b y))))
0.7b
(+ (* x y) (* z (- t a)))
24.3b
(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
33×add-sqr-sqrt
25×*-un-lft-identity
22×add-cube-cbrt
20×times-frac associate-*r*
19×add-exp-log
13×add-cbrt-cube
9×pow1
6×associate-*l* add-log-exp
5×flip3-+ prod-exp flip-+
4×distribute-rgt-in sub-neg associate-+r+ distribute-lft-in div-exp associate-/r/ unswap-sqr
3×associate-*r/ associate-/r* cbrt-unprod associate-/l*
2×cbrt-undiv frac-times rec-exp 1-exp pow-prod-down associate-*l/ *-commutative div-inv
1×+-commutative flip3-- pow-flip frac-2neg clear-num sum-log un-div-inv flip-- distribute-lft-out-- inv-pow difference-of-squares
Counts
4 → 116
Calls
4 calls:
6.0ms
(* z (- b y))
5.0ms
(/ 1 (+ y (* z (- b y))))
4.0ms
(+ (* x y) (* z (- t a)))
10.0ms
(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

series449.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(* z (- b y))
78.0ms
(/ 1 (+ y (* z (- b y))))
39.0ms
(+ (* x y) (* z (- t a)))
297.0ms
(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

simplify60.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
0449957
12234849
25001823

prune255.0ms

Filtered
128 candidates to 79 candidates (61.7%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New1271128
Fresh1910
Picked011
Done000
Total12811139

Merged error: 24.6b

Counts
139 → 11

localize15.0ms

Local error

Found 4 expressions with local error:

18.3b
(cbrt (* z (- b y)))
18.3b
(cbrt (* z (- b y)))
18.3b
(cbrt (* z (- b y)))
24.4b
(/ (+ (* x y) (* z (- t a))) (+ y (* (* (cbrt (* z (- b y))) (cbrt (* z (- b y)))) (cbrt (* z (- b y))))))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
6×add-exp-log cbrt-div associate-*r/ add-cbrt-cube
4×pow1 add-log-exp
3×cbrt-prod flip3-- pow1/3 associate-/r* flip-- associate-/l*
2×flip3-+ associate-/r/ flip-+ associate-/l/
1×cbrt-undiv frac-2neg div-exp clear-num div-inv
Counts
4 → 64
Calls
4 calls:
4.0ms
(cbrt (* z (- b y)))
4.0ms
(cbrt (* z (- b y)))
7.0ms
(cbrt (* z (- b y)))
7.0ms
(/ (+ (* x y) (* z (- t a))) (+ y (* (* (cbrt (* z (- b y))) (cbrt (* z (- b y)))) (cbrt (* z (- b y))))))

series835.0ms

Counts
4 → 12
Calls
4 calls:
152.0ms
(cbrt (* z (- b y)))
158.0ms
(cbrt (* z (- b y)))
161.0ms
(cbrt (* z (- b y)))
363.0ms
(/ (+ (* x y) (* z (- t a))) (+ y (* (* (cbrt (* z (- b y))) (cbrt (* z (- b y)))) (cbrt (* z (- b y))))))

simplify113.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 3 (100.0ms)

IterNodesCost
03141093
11034983
24080945
35001908

prune266.0ms

Filtered
76 candidates to 66 candidates (86.8%)
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New75176
Fresh189
Picked011
Done011
Total761187

Merged error: 24.6b

Counts
87 → 11

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.7b
(+ (* x y) (* (* (cbrt z) (cbrt z)) (* (cbrt z) (- t a))))
24.4b
(/ (+ (* x y) (* (* (cbrt z) (cbrt z)) (* (cbrt z) (- t a)))) (+ y (* z (- b y))))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
8×distribute-rgt-in associate-+r+ distribute-lft-in
6×add-exp-log cbrt-prod add-cbrt-cube add-log-exp
4×pow1 sub-neg
3×flip3-+ associate-/r* flip-+ associate-/l*
2×pow1/3 associate-/r/ associate-/l/
1×cbrt-undiv +-commutative frac-2neg div-exp clear-num sum-log div-inv
Counts
4 → 72
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
5.0ms
(+ (* x y) (* (* (cbrt z) (cbrt z)) (* (cbrt z) (- t a))))
8.0ms
(/ (+ (* x y) (* (* (cbrt z) (cbrt z)) (* (cbrt z) (- t a)))) (+ y (* z (- b y))))

series806.0ms

Counts
4 → 12
Calls
4 calls:
172.0ms
(cbrt z)
172.0ms
(cbrt z)
93.0ms
(+ (* x y) (* (* (cbrt z) (cbrt z)) (* (cbrt z) (- t a))))
369.0ms
(/ (+ (* x y) (* (* (cbrt z) (cbrt z)) (* (cbrt z) (- t a)))) (+ y (* z (- b y))))

simplify50.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0315968
11193882
25001827

prune227.0ms

Filtered
84 candidates to 66 candidates (78.6%)
Pruning

11 alts after pruning (8 fresh and 3 done)

PrunedKeptTotal
New84084
Fresh088
Picked011
Done022
Total841195

Merged error: 24.6b

Counts
95 → 11

regimes334.0ms

Accuracy

0% (0.7b remaining)

Error of 23.2b against oracle of 22.5b and baseline of 23.2b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0249
1249

end0.0ms

sample931.0ms

Algorithm
intervals
Results
625.0ms8483×body80valid