Details

Time bar (total: 12.7s)

sample47.0ms

Algorithm
intervals
Results
25.0ms365×body80valid

simplify237.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01115
12415
25415
39215
413715
515015
615915
717615
819715
920615
done20615

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.7b

localize13.0ms

Local error

Found 3 expressions with local error:

0.2b
(/ y (* z 3.0))
0.2b
(* (* z 3.0) y)
7.2b
(/ t (* (* z 3.0) y))

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
22×add-exp-log add-cbrt-cube
8×pow1 add-sqr-sqrt add-cube-cbrt *-un-lft-identity
7×prod-exp cbrt-unprod
6×times-frac associate-/l*
5×cbrt-undiv div-exp
3×expm1-log1p-u associate-*r* pow-prod-down log1p-expm1-u add-log-exp
2×frac-2neg clear-num associate-/r* div-inv
1×associate-*l* *-commutative
Counts
3 → 68
Calls
3 calls:
15.0ms
(/ y (* z 3.0))
26.0ms
(* (* z 3.0) y)
28.0ms
(/ t (* (* z 3.0) y))

series99.0ms

Counts
3 → 9
Calls
3 calls:
30.0ms
(/ y (* z 3.0))
21.0ms
(* (* z 3.0) y)
47.0ms
(/ t (* (* z 3.0) y))

simplify1.8s

Counts
77 → 77
Iterations

Useful iterations: 2 (278.0ms)

IterNodesCost
0108663
1259649
21150533
done5001533

prune266.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
0.6b
(cbrt t)
2.6b
(* (/ (* (cbrt t) (cbrt t)) (* z 3.0)) (/ (cbrt t) y))

rewrite88.0ms

Algorithm
rewrite-expression-head
Rules
45×add-exp-log
32×add-cbrt-cube
29×add-sqr-sqrt
22×associate-*r*
21×add-cube-cbrt *-un-lft-identity times-frac
19×cbrt-prod
18×prod-exp cbrt-unprod
13×cbrt-undiv div-exp
6×pow1
5×associate-*l*
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 unswap-sqr
2×div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 103
Calls
4 calls:
1.0ms
(cbrt t)
1.0ms
(cbrt t)
1.0ms
(cbrt t)
82.0ms
(* (/ (* (cbrt t) (cbrt t)) (* z 3.0)) (/ (cbrt t) y))

series859.0ms

Counts
4 → 12
Calls
4 calls:
258.0ms
(cbrt t)
244.0ms
(cbrt t)
292.0ms
(cbrt t)
66.0ms
(* (/ (* (cbrt t) (cbrt t)) (* z 3.0)) (/ (cbrt t) y))

simplify1.5s

Counts
115 → 115
Iterations

Useful iterations: done (1.5s)

IterNodesCost
01601527
14621455
224781031
done5000891

prune351.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.2b
(/ t (* z 3.0))
0.2b
(/ y (* z 3.0))
4.4b
(* (/ t (* z 3.0)) (/ 1 y))

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
52×add-exp-log
34×add-cbrt-cube
23×add-sqr-sqrt
20×times-frac
18×div-exp prod-exp
17×*-un-lft-identity
16×add-cube-cbrt
13×associate-*r*
11×cbrt-undiv
10×cbrt-unprod
7×associate-*l*
6×associate-/l*
5×pow1
4×div-inv
3×expm1-log1p-u rec-exp 1-exp log1p-expm1-u add-log-exp unswap-sqr
2×frac-2neg clear-num associate-/r*
1×frac-times associate-*r/ pow-prod-down associate-*l/ un-div-inv *-commutative
Counts
3 → 102
Calls
3 calls:
8.0ms
(/ t (* z 3.0))
12.0ms
(/ y (* z 3.0))
32.0ms
(* (/ t (* z 3.0)) (/ 1 y))

series82.0ms

Counts
3 → 9
Calls
3 calls:
31.0ms
(/ t (* z 3.0))
20.0ms
(/ y (* z 3.0))
31.0ms
(* (/ t (* z 3.0)) (/ 1 y))

simplify2.1s

Counts
111 → 111
Iterations

Useful iterations: 2 (257.0ms)

IterNodesCost
01651161
14131014
21402814
done5001814

prune327.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.2b
(/ t (* z 3.0))
0.2b
(/ (/ y z) 3.0)
4.4b
(* (/ t (* z 3.0)) (/ 1 y))

rewrite90.0ms

Algorithm
rewrite-expression-head
Rules
92×times-frac
63×add-sqr-sqrt
57×*-un-lft-identity
56×add-cube-cbrt
52×add-exp-log
34×add-cbrt-cube
19×div-exp
17×prod-exp
16×associate-/l*
13×associate-*r*
12×cbrt-undiv
9×cbrt-unprod
8×div-inv
7×associate-*l*
5×pow1
4×associate-/r*
3×expm1-log1p-u rec-exp 1-exp log1p-expm1-u add-log-exp unswap-sqr
2×frac-2neg clear-num
1×frac-times associate-*r/ pow-prod-down associate-*l/ un-div-inv *-commutative associate-/l/
Counts
3 → 151
Calls
3 calls:
10.0ms
(/ t (* z 3.0))
25.0ms
(/ (/ y z) 3.0)
49.0ms
(* (/ t (* z 3.0)) (/ 1 y))

series98.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(/ t (* z 3.0))
29.0ms
(/ (/ y z) 3.0)
34.0ms
(* (/ t (* z 3.0)) (/ 1 y))

simplify1.9s

Counts
160 → 160
Iterations

Useful iterations: 2 (465.0ms)

IterNodesCost
02741838
16531645
218901443
done50001443

prune492.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes317.0ms

Accuracy

84.3% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 2.0b

bsearch1.0ms

simplify4.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
02963
13961
done3961

end0.0ms

sample1.8s

Algorithm
intervals
Results
1.2s11166×body80valid