Details

Time bar (total: 17.4s)

sample66.0ms

Algorithm
intervals
Results
38.0ms535×body80valid

simplify26.0ms

Counts
1 → 1
Iterations
IterNodes
done54
454
348
242
124
011

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* (/ x y) (/ x y)) (* (/ z t) (/ z t)))
0.3b
(* (/ x y) (/ x y))
0.3b
(* (/ z t) (/ z t))

rewrite85.0ms

Algorithm
rewrite-expression-head
Rules
83×add-sqr-sqrt
80×times-frac
59×*-un-lft-identity add-cube-cbrt
27×add-cbrt-cube add-exp-log
26×swap-sqr associate-*r* associate-*l*
17×pow1
9×frac-add
8×frac-times cbrt-undiv div-exp associate-*l/ prod-exp associate-*r/ cbrt-unprod div-inv unswap-sqr
5×add-log-exp
2×pow2 pow-plus pow-prod-down pow-sqr *-commutative pow-prod-up
1×+-commutative sum-log flip3-+ flip-+
Counts
3 → 154
Calls
3 calls:
18.0ms
(+ (* (/ x y) (/ x y)) (* (/ z t) (/ z t)))
30.0ms
(* (/ x y) (/ x y))
27.0ms
(* (/ z t) (/ z t))

series177.0ms

Counts
3 → 9
Calls
3 calls:
107.0ms
(+ (* (/ x y) (/ x y)) (* (/ z t) (/ z t)))
35.0ms
(* (/ x y) (/ x y))
35.0ms
(* (/ z t) (/ z t))

simplify1.9s

Counts
163 → 163
Iterations
IterNodes
done5000
23077
1897
0255

prune862.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (* (/ x y) (/ x y))) (cbrt (* (/ x y) (/ x y))))
23.2b
(cbrt (* (/ x y) (/ x y)))
23.2b
(cbrt (* (/ x y) (/ x y)))
23.2b
(cbrt (* (/ x y) (/ x y)))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
33×cbrt-div
20×frac-times
14×associate-*l/ associate-*r/
12×add-sqr-sqrt
11×cbrt-prod pow1
9×pow1/3
8×*-un-lft-identity add-cube-cbrt
6×add-exp-log
4×add-cbrt-cube swap-sqr associate-*r* associate-*l* 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:
11.0ms
(* (cbrt (* (/ x y) (/ x y))) (cbrt (* (/ x y) (/ x y))))
6.0ms
(cbrt (* (/ x y) (/ x y)))
7.0ms
(cbrt (* (/ x y) (/ x y)))
7.0ms
(cbrt (* (/ x y) (/ x y)))

series486.0ms

Counts
4 → 12
Calls
4 calls:
133.0ms
(* (cbrt (* (/ x y) (/ x y))) (cbrt (* (/ x y) (/ x y))))
113.0ms
(cbrt (* (/ x y) (/ x y)))
113.0ms
(cbrt (* (/ x y) (/ x y)))
127.0ms
(cbrt (* (/ x y) (/ x y)))

simplify2.6s

Counts
97 → 97
Iterations
IterNodes
done5001
43944
31194
2537
1220
0112

prune646.0ms

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (/ x y)) (cbrt (/ x y)))
9.6b
(cbrt (/ x y))
9.6b
(cbrt (/ x y))
9.6b
(cbrt (/ x y))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
103×cbrt-prod
81×add-sqr-sqrt
69×times-frac
57×*-un-lft-identity add-cube-cbrt
16×swap-sqr associate-*r* associate-*l*
11×pow1
9×pow1/3 unswap-sqr
7×cbrt-div div-inv
6×add-exp-log
4×add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*l/ prod-exp associate-*r/ *-commutative cbrt-unprod
Counts
4 → 144
Calls
4 calls:
29.0ms
(* (cbrt (/ x y)) (cbrt (/ x y)))
2.0ms
(cbrt (/ x y))
2.0ms
(cbrt (/ x y))
2.0ms
(cbrt (/ x y))

series391.0ms

Counts
4 → 12
Calls
4 calls:
139.0ms
(* (cbrt (/ x y)) (cbrt (/ x y)))
103.0ms
(cbrt (/ x y))
82.0ms
(cbrt (/ x y))
67.0ms
(cbrt (/ x y))

simplify2.4s

Counts
156 → 156
Iterations
IterNodes
done5002
44206
31326
2637
1279
0161

prune1.2s

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 0.0b

localize65.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt x)
0.6b
(cbrt y)
9.6b
(cbrt (/ x y))
9.6b
(cbrt (/ x y))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
32×cbrt-prod
20×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
18×times-frac
4×pow1 add-cbrt-cube pow1/3 add-exp-log add-log-exp
2×cbrt-div div-inv
Counts
4 → 66
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt y)
3.0ms
(cbrt (/ x y))
3.0ms
(cbrt (/ x y))

series721.0ms

Counts
4 → 12
Calls
4 calls:
271.0ms
(cbrt x)
262.0ms
(cbrt y)
98.0ms
(cbrt (/ x y))
89.0ms
(cbrt (/ x y))

simplify1.5s

Counts
78 → 78
Iterations
IterNodes
done5000
31052
2384
1173
0104

prune582.0ms

Pruning

18 alts after pruning (16 fresh and 2 done)

Merged error: 0.0b

regimes1.2s

Accuracy

0% (0.7b remaining)

Error of 0.7b against oracle of 0.1b and baseline of 0.7b

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done19
119
015

end0.0ms

sample2.4s

Algorithm
intervals
Results
1.8s15562×body80valid