Details

Time bar (total: 7.6s)

sample24.0ms

Algorithm
intervals
Results
10.0ms269×body80valid

simplify117.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 22.5b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ y (* z (- b y)))
0.0b
(* z (- t a))
0.3b
(+ (* x y) (* z (- t a)))
21.6b
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
16×*-un-lft-identity
14×add-cube-cbrt
times-frac
add-exp-log associate-+r+ add-cbrt-cube add-log-exp
pow1 distribute-rgt-in sub-neg distribute-lft-in
associate-*r*
flip3-+ flip-+
associate-*l* associate-/r* associate-/l*
+-commutative associate-*r/ sum-log associate-/r/ associate-/l/
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)))
10.0ms
(* z (- t a))
3.0ms
(+ (* x y) (* z (- t a)))
12.0ms
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

series600.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(+ y (* z (- b y)))
223.0ms
(* z (- t a))
39.0ms
(+ (* x y) (* z (- t a)))
310.0ms
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

simplify50.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0359708
11499648
25001648

prune296.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 21.9b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(* z (- t a))
0.3b
(+ (* x y) (* z (- t a)))
0.5b
(/ 1 (+ y (* z (- b y))))
21.2b
(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

rewrite42.0ms

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
pow1
associate-*l* add-log-exp
flip3-+ prod-exp flip-+
distribute-rgt-in sub-neg associate-+r+ distribute-lft-in div-exp associate-/r/ unswap-sqr
associate-*r/ associate-/r* cbrt-unprod associate-/l*
cbrt-undiv frac-times rec-exp 1-exp pow-prod-down associate-*l/ *-commutative div-inv
+-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:
11.0ms
(* z (- t a))
3.0ms
(+ (* x y) (* z (- t a)))
5.0ms
(/ 1 (+ y (* z (- b y))))
20.0ms
(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

series493.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(* z (- t a))
41.0ms
(+ (* x y) (* z (- t a)))
84.0ms
(/ 1 (+ y (* z (- b y))))
329.0ms
(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

simplify66.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
0448957
12212849
25002823

prune324.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 21.9b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(* z (- t a))
0.3b
(+ (* x y) (* z (- t a)))
0.3b
(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
21.6b
(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

rewrite43.0ms

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/
div-exp
pow1 flip3-+ flip-+
div-inv associate-/l* add-log-exp
associate-*r*
cbrt-undiv distribute-rgt-in sub-neg associate-+r+ distribute-lft-in
associate-*l*
rec-exp frac-2neg 1-exp associate-*r/ clear-num associate-/l/
+-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:
11.0ms
(* z (- t a))
3.0ms
(+ (* x y) (* z (- t a)))
11.0ms
(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
11.0ms
(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

series1.2s

Counts
4 → 12
Calls
4 calls:
34.0ms
(* z (- t a))
42.0ms
(+ (* x y) (* z (- t a)))
825.0ms
(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
267.0ms
(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

simplify84.0ms

Algorithm
egg-herbie
Counts
168 → 168
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
05702054
127521881
250011793

prune396.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 21.9b

localize24.0ms

Local error

Found 4 expressions with local error:

10.2b
(cbrt (/ 1 (+ y (* z (- b y)))))
10.2b
(cbrt (/ 1 (+ y (* z (- b y)))))
10.2b
(cbrt (/ 1 (+ y (* z (- b y)))))
14.2b
(* (+ (* x y) (* z (- t a))) (* (cbrt (/ 1 (+ y (* z (- b y))))) (cbrt (/ 1 (+ y (* z (- b y)))))))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
45×cbrt-prod
27×add-sqr-sqrt times-frac
26×add-cube-cbrt *-un-lft-identity
15×cbrt-div
pow1 add-exp-log frac-times
flip3-+ add-cbrt-cube flip-+
associate-*r/ associate-/r/
associate-*l/
add-log-exp
pow1/3 associate-*l* pow-prod-down prod-exp cbrt-unprod div-inv
associate-*r* *-commutative unswap-sqr
Counts
4 → 102
Calls
4 calls:
3.0ms
(cbrt (/ 1 (+ y (* z (- b y)))))
3.0ms
(cbrt (/ 1 (+ y (* z (- b y)))))
3.0ms
(cbrt (/ 1 (+ y (* z (- b y)))))
35.0ms
(* (+ (* x y) (* z (- t a))) (* (cbrt (/ 1 (+ y (* z (- b y))))) (cbrt (/ 1 (+ y (* z (- b y)))))))

series2.1s

Counts
4 → 12
Calls
4 calls:
266.0ms
(cbrt (/ 1 (+ y (* z (- b y)))))
270.0ms
(cbrt (/ 1 (+ y (* z (- b y)))))
269.0ms
(cbrt (/ 1 (+ y (* z (- b y)))))
1.3s
(* (+ (* x y) (* z (- t a))) (* (cbrt (/ 1 (+ y (* z (- b y))))) (cbrt (/ 1 (+ y (* z (- b y)))))))

simplify59.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
05021702
116841569
250021470

prune452.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 21.9b

regimes444.0ms

Accuracy

0% (0.6b remaining)

Error of 23.4b against oracle of 22.7b and baseline of 23.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0198
1198

end0.0ms

sample646.0ms

Algorithm
intervals
Results
355.0ms8389×body80valid