Details

Time bar (total: 15.4s)

sample24.0ms

Algorithm
intervals
Results
12.0ms256×body80valid

simplify7.0ms

Counts
1 → 1
Iterations
IterNodes
done14
214
111
08

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.3b

localize13.0ms

Local error

Found 1 expressions with local error:

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

rewrite33.0ms

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×expm1-log1p-u pow1 cbrt-undiv clear-num frac-2neg flip3-+ flip3-- div-exp flip-+ log1p-expm1-u div-inv flip-- add-log-exp
Counts
1 → 52
Calls
1 calls:
31.0ms
(/ (+ x y) (- 1.0 (/ y z)))

series73.0ms

Counts
1 → 3
Calls
1 calls:
73.0ms
(/ (+ x y) (- 1.0 (/ y z)))

simplify1.3s

Counts
55 → 55
Iterations
IterNodes
done5000
31815
2585
1214
097

prune287.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 5.5b

localize20.0ms

Local error

Found 2 expressions with local error:

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

rewrite85.0ms

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×expm1-log1p-u frac-times cbrt-undiv rec-exp flip3-+ flip3-- 1-exp associate-*l/ cbrt-unprod flip-+ log1p-expm1-u 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 → 101
Calls
2 calls:
19.0ms
(/ 1 (- 1.0 (/ y z)))
62.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

series136.0ms

Counts
2 → 6
Calls
2 calls:
67.0ms
(/ 1 (- 1.0 (/ y z)))
69.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

simplify2.6s

Counts
107 → 107
Iterations
IterNodes
done5004
34132
21227
1374
0147

prune530.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 5.5b

localize45.0ms

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))))

rewrite212.0ms

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 expm1-log1p-u swap-sqr *-commutative log1p-expm1-u 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 → 243
Calls
4 calls:
17.0ms
(* (cbrt (* (+ x y) (/ 1 (- 1.0 (/ y z))))) (cbrt (* (+ x y) (/ 1 (- 1.0 (/ y z))))))
52.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))
63.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))
69.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

series742.0ms

Counts
4 → 12
Calls
4 calls:
533.0ms
(* (cbrt (* (+ x y) (/ 1 (- 1.0 (/ y z))))) (cbrt (* (+ x y) (/ 1 (- 1.0 (/ y z))))))
58.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))
71.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))
80.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

simplify2.8s

Counts
255 → 255
Iterations
IterNodes
done5000
34439
21575
1635
0287

prune1.6s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 5.5b

localize47.0ms

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)))))

rewrite489.0ms

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
16×associate-*r*
13×pow1 swap-sqr
9×difference-cubes cube-unmult pow3 distribute-lft-out
7×associate-*r/
6×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv add-log-exp unswap-sqr
4×expm1-log1p-u frac-times associate-/r* flip3-+ associate-/r/ flip-+ log1p-expm1-u 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 fma-def frac-2neg distribute-lft-in pow-plus distribute-rgt-out pow-sqr pow-prod-up
Counts
4 → 178
Calls
4 calls:
30.0ms
(* (/ y z) (/ y z))
104.0ms
(/ (+ y x) (- (* 1.0 (* 1.0 1.0)) (* (* (/ y z) (/ y z)) (/ y z))))
11.0ms
(+ (* (/ y z) (/ y z)) (* 1.0 (/ y z)))
334.0ms
(* (/ (+ 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)))))

series368.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(* (/ y z) (/ y z))
105.0ms
(/ (+ y x) (- (* 1.0 (* 1.0 1.0)) (* (* (/ y z) (/ y z)) (/ y z))))
66.0ms
(+ (* (/ y z) (/ y z)) (* 1.0 (/ y z)))
154.0ms
(* (/ (+ 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)))))

simplify2.1s

Counts
190 → 190
Iterations
IterNodes
done5000
24257
11059
0287

prune926.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 5.5b

regimes349.0ms

Accuracy

0% (1.9b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done9
19
08

end0.0ms

sample630.0ms

Algorithm
intervals
Results
355.0ms7999×body80valid
0.0ms1×body1280valid