Details

Time bar (total: 6.5s)

sample27.0ms

Algorithm
intervals
Results
13.0ms274×body80valid

simplify115.0ms

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: 21.7b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ y (* z (- b y)))
0.0b
(* z (- b y))
0.9b
(+ (* x y) (* z (- t a)))
20.9b
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
16×*-un-lft-identity
14×add-cube-cbrt
9×times-frac
8×add-exp-log associate-+r+ add-cbrt-cube add-log-exp
6×pow1 distribute-rgt-in sub-neg distribute-lft-in
5×associate-*r*
4×flip3-+ flip-+
3×associate-*l* associate-/r* associate-/l*
2×+-commutative associate-*r/ sum-log associate-/r/ associate-/l/
1×cbrt-undiv flip3-- frac-2neg div-exp pow-prod-down prod-exp clear-num *-commutative flip-- cbrt-unprod div-inv distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 87
Calls
4 calls:
3.0ms
(+ y (* z (- b y)))
9.0ms
(* z (- b y))
3.0ms
(+ (* x y) (* z (- t a)))
11.0ms
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

series411.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(+ y (* z (- b y)))
36.0ms
(* z (- b y))
39.0ms
(+ (* x y) (* z (- t a)))
308.0ms
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

simplify49.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0353708
11481648
25001648

prune293.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 21.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(* z (- b y))
0.5b
(/ 1 (+ y (* z (- b y))))
0.9b
(+ (* x y) (* z (- t a)))
20.8b
(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

rewrite38.0ms

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:
10.0ms
(* z (- b y))
4.0ms
(/ 1 (+ y (* z (- b y))))
3.0ms
(+ (* x y) (* z (- t a)))
18.0ms
(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

series472.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(* z (- b y))
83.0ms
(/ 1 (+ y (* z (- b y))))
40.0ms
(+ (* x y) (* z (- t a)))
314.0ms
(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

simplify68.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0449957
12234849
25001823

prune320.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 21.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ y (* z (- b y)))
0.3b
(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
0.9b
(+ (* x y) (* z (- t a)))
20.8b
(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
56×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×associate-/r*
17×add-exp-log
11×associate-/r/ add-cbrt-cube
8×associate-+r+ flip3-+ div-exp flip-+ add-log-exp
6×div-inv associate-/l*
5×pow1
4×cbrt-undiv distribute-rgt-in sub-neg distribute-lft-in
2×+-commutative rec-exp frac-2neg 1-exp clear-num sum-log associate-/l/
1×pow-flip inv-pow
Counts
4 → 145
Calls
4 calls:
3.0ms
(+ y (* z (- b y)))
13.0ms
(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
3.0ms
(+ (* x y) (* z (- t a)))
10.0ms
(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

series1.1s

Counts
4 → 12
Calls
4 calls:
27.0ms
(+ y (* z (- b y)))
795.0ms
(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
39.0ms
(+ (* x y) (* z (- t a)))
258.0ms
(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

simplify62.0ms

Algorithm
egg-herbie
Counts
157 → 157
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
05252048
123731870
250021782

prune347.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 21.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(/ 1 (+ y (* z (- b y))))
0.9b
(+ (* x y) (* z (- t a)))
1.0b
(/ 1 (+ (* x y) (* z (- t a))))
19.6b
(/ (/ 1 (+ y (* z (- b y)))) (/ 1 (+ (* x y) (* z (- t a)))))

rewrite178.0ms

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))))
3.0ms
(+ (* x y) (* z (- t a)))
5.0ms
(/ 1 (+ (* x y) (* z (- t a))))
17.0ms
(/ (/ 1 (+ y (* z (- b y)))) (/ 1 (+ (* x y) (* z (- t a)))))

series942.0ms

Counts
4 → 12
Calls
4 calls:
77.0ms
(/ 1 (+ y (* z (- b y))))
39.0ms
(+ (* x y) (* z (- t a)))
52.0ms
(/ 1 (+ (* x y) (* z (- t a))))
774.0ms
(/ (/ 1 (+ y (* z (- b y)))) (/ 1 (+ (* x y) (* z (- t a)))))

simplify92.0ms

Algorithm
egg-herbie
Counts
380 → 380
Iterations

Useful iterations: 1 (33.0ms)

IterNodesCost
016477172
150016611

prune806.0ms

Pruning

13 alts after pruning (10 fresh and 3 done)

Merged error: 21.0b

regimes387.0ms

Accuracy

0% (0.7b remaining)

Error of 23.6b against oracle of 22.9b and baseline of 23.6b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0249
1249

end0.0ms

sample643.0ms

Algorithm
intervals
Results
349.0ms8448×body80valid