Details

Time bar (total: 6.6s)

sample26.0ms

Algorithm
intervals
Results
9.0ms267×body80valid

simplify112.0ms

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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 22.8b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(* z (- t a))
0.0b
(* z (- b y))
0.4b
(+ (* x y) (* z (- t a)))
22.0b
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

rewrite87.0ms

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:
21.0ms
(* z (- t a))
20.0ms
(* z (- b y))
9.0ms
(+ (* x y) (* z (- t a)))
34.0ms
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

series390.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(* z (- t a))
32.0ms
(* z (- b y))
36.0ms
(+ (* x y) (* z (- t a)))
292.0ms
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

simplify55.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0401714
11759659
25001659

prune289.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 22.1b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(* z (- b y))
0.4b
(+ (* x y) (* z (- t a)))
0.6b
(/ 1 (+ y (* z (- b y))))
21.5b
(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

rewrite84.0ms

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:
20.0ms
(* z (- b y))
9.0ms
(+ (* x y) (* z (- t a)))
12.0ms
(/ 1 (+ y (* z (- b y))))
40.0ms
(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

series417.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(* z (- b y))
38.0ms
(+ (* x y) (* z (- t a)))
71.0ms
(/ 1 (+ y (* z (- b y))))
277.0ms
(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

simplify60.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0449957
12234849
25001823

prune278.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 22.1b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(* z (- b y))
0.4b
(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
0.4b
(+ (* x y) (* z (- t a)))
22.0b
(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

rewrite87.0ms

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:
20.0ms
(* z (- b y))
23.0ms
(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
9.0ms
(+ (* x y) (* z (- t a)))
30.0ms
(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

series1.1s

Counts
4 → 12
Calls
4 calls:
30.0ms
(* z (- b y))
731.0ms
(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
36.0ms
(+ (* x y) (* z (- t a)))
269.0ms
(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

simplify77.0ms

Algorithm
egg-herbie
Counts
168 → 168
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
05762059
127901881
250011793

prune336.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 22.1b

localize14.0ms

Local error

Found 4 expressions with local error:

0.4b
(+ (* x y) (* z (- t a)))
0.6b
(/ 1 (+ y (* z (- b y))))
1.2b
(/ 1 (+ (* x y) (* z (- t a))))
20.5b
(/ (/ 1 (+ y (* z (- b y)))) (/ 1 (+ (* x y) (* z (- t a)))))

rewrite105.0ms

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:
9.0ms
(+ (* x y) (* z (- t a)))
9.0ms
(/ 1 (+ y (* z (- b y))))
13.0ms
(/ 1 (+ (* x y) (* z (- t a))))
36.0ms
(/ (/ 1 (+ y (* z (- b y)))) (/ 1 (+ (* x y) (* z (- t a)))))

series900.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(+ (* x y) (* z (- t a)))
68.0ms
(/ 1 (+ y (* z (- b y))))
51.0ms
(/ 1 (+ (* x y) (* z (- t a))))
740.0ms
(/ (/ 1 (+ y (* z (- b y)))) (/ 1 (+ (* x y) (* z (- t a)))))

simplify93.0ms

Algorithm
egg-herbie
Counts
380 → 380
Iterations

Useful iterations: 1 (32.0ms)

IterNodesCost
016477172
150016611

prune780.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 22.1b

regimes376.0ms

Accuracy

0% (0.6b remaining)

Error of 23.3b against oracle of 22.7b and baseline of 23.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0198
1198

end0.0ms

sample883.0ms

Algorithm
intervals
Results
396.0ms8433×body80valid