Details

Time bar (total: 17.8s)

sample36.0ms

Algorithm
intervals
Results
18.0ms346×body80valid

simplify2.2s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09204
127204
278204
3178204
4285204
5421204
6571204
7830204
81998204
done5000204

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.6b

localize14.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (* z z) (+ z 1.0))
13.1b
(/ (* x y) (* (* z z) (+ z 1.0)))

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
28×add-cbrt-cube add-exp-log
12×prod-exp cbrt-unprod
7×pow1
6×cbrt-undiv div-exp
5×*-un-lft-identity
4×add-sqr-sqrt associate-*r* associate-*r/
3×pow-prod-down add-cube-cbrt
2×expm1-log1p-u flip3-+ associate-/r/ flip-+ log1p-expm1-u add-log-exp
1×distribute-rgt-in clear-num associate-/r* frac-2neg distribute-lft-in times-frac associate-*l* *-commutative div-inv distribute-lft-out associate-/l* unswap-sqr
Counts
2 → 55
Calls
2 calls:
26.0ms
(* (* z z) (+ z 1.0))
34.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

series145.0ms

Counts
2 → 6
Calls
2 calls:
69.0ms
(* (* z z) (+ z 1.0))
76.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

simplify3.1s

Counts
61 → 61
Iterations

Useful iterations: done (3.1s)

IterNodesCost
011618701
140015086
2363613814
done500013299

prune329.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 2.6b

localize12.0ms

Local error

Found 2 expressions with local error:

5.4b
(* (/ x (* z z)) (/ y (+ z 1.0)))
7.2b
(/ x (* z z))

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
28×add-cbrt-cube add-exp-log
24×add-sqr-sqrt
22×times-frac
20×*-un-lft-identity
18×associate-*r*
14×add-cube-cbrt
9×cbrt-undiv div-exp prod-exp cbrt-unprod
7×associate-*l*
4×pow1 unswap-sqr
3×div-inv distribute-lft-out associate-/l*
2×expm1-log1p-u associate-/r/ log1p-expm1-u add-log-exp
1×frac-times clear-num associate-/r* frac-2neg flip3-+ pow-prod-down associate-*l/ associate-*r/ *-commutative flip-+
Counts
2 → 78
Calls
2 calls:
69.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
7.0ms
(/ x (* z z))

series94.0ms

Counts
2 → 6
Calls
2 calls:
63.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
31.0ms
(/ x (* z z))

simplify2.4s

Counts
84 → 84
Iterations

Useful iterations: done (2.4s)

IterNodesCost
015423998
149420912
2368619422
done500219347

prune478.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
0.8b
(* (/ (* (cbrt x) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0))))

rewrite95.0ms

Algorithm
rewrite-expression-head
Rules
73×add-exp-log
57×add-cbrt-cube
32×prod-exp cbrt-unprod
22×cbrt-undiv div-exp
9×cbrt-prod add-sqr-sqrt pow1 *-un-lft-identity add-cube-cbrt
7×associate-*l*
5×frac-times associate-*r/
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×times-frac pow1/3 pow-prod-down associate-*l/
1×associate-*r* *-commutative div-inv
Counts
4 → 96
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
85.0ms
(* (/ (* (cbrt x) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0))))

series1.0s

Counts
4 → 12
Calls
4 calls:
298.0ms
(cbrt x)
367.0ms
(cbrt x)
262.0ms
(cbrt x)
111.0ms
(* (/ (* (cbrt x) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0))))

simplify2.5s

Counts
108 → 108
Iterations

Useful iterations: done (2.5s)

IterNodesCost
016539811
156534960
2334832882
done500224527

prune512.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

1.5b
(/ (* (/ y (+ z 1.0)) (/ x z)) z)
1.9b
(* (/ y (+ z 1.0)) (/ x z))

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
32×add-cbrt-cube add-exp-log
31×add-sqr-sqrt
28×times-frac
25×*-un-lft-identity
19×add-cube-cbrt
18×associate-*l*
13×cbrt-undiv div-exp associate-*r*
8×prod-exp cbrt-unprod
4×pow1 unswap-sqr
3×associate-/r* div-inv distribute-lft-out associate-/l/
2×expm1-log1p-u frac-times associate-*l/ associate-*r/ associate-/r/ log1p-expm1-u add-log-exp
1×clear-num frac-2neg flip3-+ pow-prod-down *-commutative flip-+ associate-/l*
Counts
2 → 89
Calls
2 calls:
17.0ms
(/ (* (/ y (+ z 1.0)) (/ x z)) z)
42.0ms
(* (/ y (+ z 1.0)) (/ x z))

series159.0ms

Counts
2 → 6
Calls
2 calls:
90.0ms
(/ (* (/ y (+ z 1.0)) (/ x z)) z)
69.0ms
(* (/ y (+ z 1.0)) (/ x z))

simplify2.6s

Counts
95 → 95
Iterations

Useful iterations: done (2.5s)

IterNodesCost
018629329
158625847
2428225034
done500124694

prune550.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes395.0ms

Accuracy

0% (1.2b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 1.3b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
012364
115364
done15364

end0.0ms

sample924.0ms

Algorithm
intervals
Results
622.0ms10762×body80valid