Details

Time bar (total: 7.2s)

sample33.0ms

Algorithm
intervals
Results
17.0ms488×body80valid

simplify20.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01115
12415
24215
35415
done5415

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 34.5b

localize9.0ms

Local error

Found 2 expressions with local error:

18.7b
(/ (* x x) (* y y))
22.2b
(/ (* z z) (* t t))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
26×add-exp-log add-cbrt-cube
8×cbrt-undiv div-exp prod-exp cbrt-unprod
2×pow1 add-sqr-sqrt add-cube-cbrt frac-2neg *-un-lft-identity times-frac clear-num associate-/r* div-inv associate-/l* add-log-exp
Counts
2 → 42
Calls
2 calls:
5.0ms
(/ (* x x) (* y y))
5.0ms
(/ (* z z) (* t t))

series55.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(/ (* x x) (* y y))
25.0ms
(/ (* z z) (* t t))

simplify782.0ms

Counts
48 → 48
Iterations

Useful iterations: 2 (100.0ms)

IterNodesCost
090538
1267522
21098356
done5000356

prune98.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 3.2b

localize8.0ms

Local error

Found 2 expressions with local error:

0.3b
(* (/ z t) (/ z t))
18.7b
(/ (* x x) (* y y))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
41×times-frac
30×add-cube-cbrt *-un-lft-identity
26×add-exp-log add-cbrt-cube
13×swap-sqr associate-*r* associate-*l*
9×pow1
8×cbrt-undiv div-exp prod-exp cbrt-unprod
5×div-inv
4×unswap-sqr
2×add-log-exp
1×pow2 frac-times frac-2neg pow-plus associate-*r/ pow-prod-down associate-*l/ clear-num associate-/r* pow-sqr *-commutative pow-prod-up associate-/l*
Counts
2 → 88
Calls
2 calls:
12.0ms
(* (/ z t) (/ z t))
5.0ms
(/ (* x x) (* y y))

series53.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(* (/ z t) (/ z t))
28.0ms
(/ (* x x) (* y y))

simplify680.0ms

Counts
94 → 94
Iterations

Useful iterations: 2 (253.0ms)

IterNodesCost
01531119
14681023
21781820
done5000820

prune200.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 2 expressions with local error:

0.3b
(* (/ z t) (/ z t))
0.3b
(* (/ x y) (/ x y))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
82×add-sqr-sqrt
80×times-frac
58×add-cube-cbrt *-un-lft-identity
26×add-exp-log swap-sqr associate-*r* associate-*l* add-cbrt-cube
16×pow1
8×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv unswap-sqr
2×pow2 frac-times pow-plus associate-*r/ pow-prod-down associate-*l/ pow-sqr *-commutative pow-prod-up add-log-exp
Counts
2 → 134
Calls
2 calls:
13.0ms
(* (/ z t) (/ z t))
13.0ms
(* (/ x y) (/ x y))

series55.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(* (/ z t) (/ z t))
25.0ms
(* (/ x y) (/ x y))

simplify891.0ms

Counts
140 → 140
Iterations

Useful iterations: 2 (375.0ms)

IterNodesCost
02111700
16601524
224531284
done50001284

prune315.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (cbrt (* (/ x y) (/ x y))) (cbrt (* (/ x y) (/ x y))))
21.9b
(cbrt (* (/ x y) (/ x y)))
21.9b
(cbrt (* (/ x y) (/ x y)))
21.9b
(cbrt (* (/ x y) (/ x y)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
33×cbrt-div
20×frac-times
14×associate-*r/ associate-*l/
12×add-sqr-sqrt
11×pow1 cbrt-prod
9×pow1/3
8×add-cube-cbrt *-un-lft-identity
6×add-exp-log
4×swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 85
Calls
4 calls:
7.0ms
(* (cbrt (* (/ x y) (/ x y))) (cbrt (* (/ x y) (/ x y))))
4.0ms
(cbrt (* (/ x y) (/ x y)))
4.0ms
(cbrt (* (/ x y) (/ x y)))
4.0ms
(cbrt (* (/ x y) (/ x y)))

series354.0ms

Counts
4 → 12
Calls
4 calls:
99.0ms
(* (cbrt (* (/ x y) (/ x y))) (cbrt (* (/ x y) (/ x y))))
85.0ms
(cbrt (* (/ x y) (/ x y)))
85.0ms
(cbrt (* (/ x y) (/ x y)))
85.0ms
(cbrt (* (/ x y) (/ x y)))

simplify2.0s

Counts
97 → 97
Iterations

Useful iterations: 4 (977.0ms)

IterNodesCost
01121432
11951309
24651159
312881054
434141032
done50001032

prune228.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 0.0b

regimes348.0ms

Accuracy

0% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 0.8b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01234
11434
done1434

end0.0ms

sample945.0ms

Algorithm
intervals
Results
550.0ms15398×body80valid