Details

Time bar (total: 17.4s)

sample30.0ms

Algorithm
intervals
Results
15.0ms256×body80valid

simplify5.0ms

Counts
1 → 1
Iterations
IterNodes
done14
214
111
08

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.3b

localize11.0ms

Local error

Found 1 expressions with local error:

6.3b
(/ (+ x y) (- 1.0 (/ y z)))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
37×*-un-lft-identity
29×times-frac
13×add-cube-cbrt
10×difference-of-squares
7×distribute-lft-out
6×associate-/r*
5×distribute-lft-out--
4×associate-/l*
3×add-cbrt-cube add-exp-log
2×associate-/r/ associate-/l/
1×pow1 cbrt-undiv clear-num frac-2neg flip3-+ flip3-- div-exp flip-+ div-inv flip-- add-log-exp
Counts
1 → 50
Calls
1 calls:
34.0ms
(/ (+ x y) (- 1.0 (/ y z)))

series91.0ms

Counts
1 → 3
Calls
1 calls:
91.0ms
(/ (+ x y) (- 1.0 (/ y z)))

simplify1.3s

Counts
53 → 53
Iterations
IterNodes
done5001
31645
2571
1209
095

prune333.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 5.5b

localize24.0ms

Local error

Found 2 expressions with local error:

0.5b
(/ 1 (- 1.0 (/ y z)))
5.7b
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

rewrite129.0ms

Algorithm
rewrite-expression-head
Rules
66×add-sqr-sqrt
45×times-frac
41×*-un-lft-identity
24×associate-*r* add-cube-cbrt
15×add-exp-log
14×difference-of-squares
9×add-cbrt-cube
7×distribute-lft-out--
6×associate-/r*
5×pow1
4×div-exp associate-*l* prod-exp associate-/r/
3×associate-/l* unswap-sqr
2×frac-times cbrt-undiv rec-exp flip3-+ flip3-- 1-exp associate-*l/ cbrt-unprod flip-+ div-inv flip-- add-log-exp
1×clear-num frac-2neg pow-prod-down associate-*r/ un-div-inv *-commutative pow-flip distribute-lft-out inv-pow
Counts
2 → 97
Calls
2 calls:
23.0ms
(/ 1 (- 1.0 (/ y z)))
102.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

series107.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(/ 1 (- 1.0 (/ y z)))
60.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

simplify2.8s

Counts
103 → 103
Iterations
IterNodes
done5000
33537
21109
1367
0143

prune522.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 5.5b

localize58.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* (+ x y) (/ 1 (- 1.0 (/ y z))))) (cbrt (* (+ x y) (/ 1 (- 1.0 (/ y z))))))
5.7b
(* (+ x y) (/ 1 (- 1.0 (/ y z))))
5.7b
(* (+ x y) (/ 1 (- 1.0 (/ y z))))
5.7b
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

rewrite301.0ms

Algorithm
rewrite-expression-head
Rules
109×add-sqr-sqrt
84×cbrt-div
76×associate-*r*
70×frac-times
69×times-frac
68×*-un-lft-identity
41×add-cube-cbrt
40×associate-*l/
34×flip3-+ flip-+
33×add-exp-log
23×associate-*r/
19×add-cbrt-cube
18×difference-of-squares
17×pow1 un-div-inv
16×associate-*l*
13×prod-exp
10×unswap-sqr
9×distribute-lft-out--
7×cbrt-unprod
6×pow1/3 div-exp associate-/r/
5×pow-prod-down
4×cbrt-prod swap-sqr *-commutative add-log-exp
3×cbrt-undiv rec-exp flip3-- 1-exp div-inv flip-- distribute-lft-out
2×pow-sqr pow-prod-up
1×pow2 pow-plus
Counts
4 → 235
Calls
4 calls:
31.0ms
(* (cbrt (* (+ x y) (/ 1 (- 1.0 (/ y z))))) (cbrt (* (+ x y) (/ 1 (- 1.0 (/ y z))))))
86.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))
71.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))
100.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

series855.0ms

Counts
4 → 12
Calls
4 calls:
647.0ms
(* (cbrt (* (+ x y) (/ 1 (- 1.0 (/ y z))))) (cbrt (* (+ x y) (/ 1 (- 1.0 (/ y z))))))
69.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))
71.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))
69.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

simplify3.0s

Counts
247 → 247
Iterations
IterNodes
done5029
34195
21621
1623
0283

prune1.7s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 5.5b

localize48.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (/ y z) (/ y z))
3.2b
(/ (+ y x) (- (* (* 1.0 1.0) 1.0) (* (* (/ y z) (/ y z)) (/ y z))))
3.8b
(+ (* (/ y z) (/ y z)) (* 1.0 (/ y z)))
17.1b
(* (/ (+ y x) (- (* (* 1.0 1.0) 1.0) (* (* (/ y z) (/ y z)) (/ y z)))) (+ (* 1.0 1.0) (+ (* (/ y z) (/ y z)) (* 1.0 (/ y z)))))

rewrite695.0ms

Algorithm
rewrite-expression-head
Rules
73×times-frac
70×*-un-lft-identity
69×add-sqr-sqrt
52×add-cube-cbrt
35×associate-*l*
23×add-cbrt-cube add-exp-log
18×pow3
16×associate-*r*
13×pow1 swap-sqr
9×difference-cubes distribute-lft-out
7×associate-*r/
6×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv add-log-exp unswap-sqr
4×frac-times associate-/r* flip3-+ associate-/r/ flip-+ associate-/l*
3×associate-*l/ frac-add
2×flip3-- pow-prod-down *-commutative flip-- associate-/l/
1×pow2 distribute-rgt-in +-commutative clear-num sum-log frac-2neg distribute-lft-in pow-plus distribute-rgt-out pow-sqr pow-prod-up
Counts
4 → 169
Calls
4 calls:
19.0ms
(* (/ y z) (/ y z))
130.0ms
(/ (+ y x) (- (* (* 1.0 1.0) 1.0) (* (* (/ y z) (/ y z)) (/ y z))))
21.0ms
(+ (* (/ y z) (/ y z)) (* 1.0 (/ y z)))
515.0ms
(* (/ (+ y x) (- (* (* 1.0 1.0) 1.0) (* (* (/ y z) (/ y z)) (/ y z)))) (+ (* 1.0 1.0) (+ (* (/ y z) (/ y z)) (* 1.0 (/ y z)))))

series359.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(* (/ y z) (/ y z))
117.0ms
(/ (+ y x) (- (* (* 1.0 1.0) 1.0) (* (* (/ y z) (/ y z)) (/ y z))))
70.0ms
(+ (* (/ y z) (/ y z)) (* 1.0 (/ y z)))
124.0ms
(* (/ (+ y x) (- (* (* 1.0 1.0) 1.0) (* (* (/ y z) (/ y z)) (/ y z)))) (+ (* 1.0 1.0) (+ (* (/ y z) (/ y z)) (* 1.0 (/ y z)))))

simplify2.8s

Counts
181 → 181
Iterations
IterNodes
done5021
24138
11022
0279

prune1.0s

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 5.5b

regimes384.0ms

Accuracy

0% (1.9b remaining)

Error of 7.5b against oracle of 5.6b and baseline of 7.5b

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done9
19
08

end0.0ms

sample877.0ms

Algorithm
intervals
Results
660.0ms7999×body80valid
0.0ms1×body1280valid