Details

Time bar (total: 6.6s)

analyze1.3s

Algorithm
search

sample29.0ms

Algorithm
intervals
Results
14.0ms256×body80valid
1.0ms18×body80invalid

simplify108.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0238
1378
2658
3948
41088
51328
62018
73598
88258
932128
1050028

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 22.4b

Counts
2 → 1

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(* z (- b y))
0.0b
(* z (- t a))
1.1b
(+ (* x y) (* z (- t a)))
21.6b
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

rewrite24.0ms

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 (- b y))
6.0ms
(* z (- t a))
4.0ms
(+ (* x y) (* z (- t a)))
7.0ms
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

series114.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(* z (- b y))
7.0ms
(* z (- t a))
13.0ms
(+ (* x y) (* z (- t a)))
87.0ms
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

simplify52.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0401714
11759659
25001659

prune167.0ms

Filtered
74 candidates to 110 candidates (-48.6%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New9911110
Fresh000
Picked101
Done000
Total10011111

Merged error: 21.8b

Counts
111 → 11

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(* z (- t a))
0.7b
(/ 1 (+ y (* z (- b y))))
1.1b
(+ (* x y) (* z (- t a)))
21.2b
(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

rewrite29.0ms

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 (- t a))
4.0ms
(/ 1 (+ y (* z (- b y))))
4.0ms
(+ (* x y) (* z (- t a)))
12.0ms
(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

series125.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(* z (- t a))
17.0ms
(/ 1 (+ y (* z (- b y))))
13.0ms
(+ (* x y) (* z (- t a)))
88.0ms
(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

simplify60.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
0448957
12212849
25002823

prune152.0ms

Filtered
78 candidates to 128 candidates (-64.1%)
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New1271128
Fresh01010
Picked011
Done000
Total12712139

Merged error: 21.8b

Counts
139 → 12

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(* z (- t a))
0.5b
(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
1.1b
(+ (* x y) (* z (- t a)))
21.7b
(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
62×add-sqr-sqrt
60×*-un-lft-identity
58×add-cube-cbrt
19×add-exp-log
18×associate-/r*
13×add-cbrt-cube
11×associate-/r/
8×div-exp
7×pow1 flip3-+ flip-+
6×div-inv associate-/l* add-log-exp
5×associate-*r*
4×cbrt-undiv distribute-rgt-in sub-neg associate-+r+ distribute-lft-in
3×associate-*l*
2×rec-exp frac-2neg 1-exp associate-*r/ clear-num associate-/l/
1×+-commutative flip3-- pow-flip pow-prod-down prod-exp sum-log *-commutative flip-- cbrt-unprod distribute-lft-out-- inv-pow difference-of-squares unswap-sqr
Counts
4 → 156
Calls
4 calls:
6.0ms
(* z (- t a))
8.0ms
(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
4.0ms
(+ (* x y) (* z (- t a)))
7.0ms
(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

series242.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(* z (- t a))
158.0ms
(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
13.0ms
(+ (* x y) (* z (- t a)))
65.0ms
(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

simplify72.0ms

Algorithm
egg-herbie
Counts
168 → 168
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
05702052
127521879
250011791

prune155.0ms

Filtered
94 candidates to 168 candidates (-78.7%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New1671168
Fresh2810
Picked011
Done101
Total17010180

Merged error: 21.8b

Counts
180 → 10

localize18.0ms

Local error

Found 4 expressions with local error:

0.7b
(/ 1 (+ y (* z (- b y))))
0.8b
(/ 1 (+ (* x y) (* z (- t a))))
1.1b
(+ (* x y) (* z (- t a)))
20.6b
(/ (/ 1 (+ y (* z (- b y)))) (/ 1 (+ (* x y) (* z (- t a)))))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
531×times-frac
244×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
69×associate-/r/
52×add-exp-log
36×div-exp
35×flip3-+ flip-+ div-inv
21×associate-/r* associate-/l*
20×add-cbrt-cube
10×cbrt-undiv rec-exp 1-exp
6×pow1 add-log-exp
4×associate-+r+
3×frac-2neg clear-num
2×distribute-rgt-in sub-neg pow-flip distribute-lft-in inv-pow
1×+-commutative sum-log associate-/l/
Counts
4 → 368
Calls
4 calls:
4.0ms
(/ 1 (+ y (* z (- b y))))
5.0ms
(/ 1 (+ (* x y) (* z (- t a))))
4.0ms
(+ (* x y) (* z (- t a)))
15.0ms
(/ (/ 1 (+ y (* z (- b y)))) (/ 1 (+ (* x y) (* z (- t a)))))

series208.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(/ 1 (+ y (* z (- b y))))
20.0ms
(/ 1 (+ (* x y) (* z (- t a))))
15.0ms
(+ (* x y) (* z (- t a)))
157.0ms
(/ (/ 1 (+ y (* z (- b y)))) (/ 1 (+ (* x y) (* z (- t a)))))

simplify98.0ms

Algorithm
egg-herbie
Counts
380 → 380
Iterations

Useful iterations: 1 (34.0ms)

IterNodesCost
016477166
150016605

prune321.0ms

Filtered
188 candidates to 380 candidates (-102.1%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New3800380
Fresh088
Picked011
Done011
Total38010390

Merged error: 21.8b

Counts
390 → 10

regimes772.0ms

Accuracy

0% (0.7b remaining)

Error of 23.2b against oracle of 22.4b and baseline of 23.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02410
12410

end0.0ms

analyze1.6s

Algorithm
search

sample791.0ms

Algorithm
intervals
Results
474.0ms8000×body80valid
27.0ms440×body80invalid

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