Details

Time bar (total: 20.0s)

sample83.0ms

Algorithm
intervals
Results
50.0ms499×body80valid

simplify24.0ms

Counts
1 → 1
Iterations
IterNodes
done60
460
358
244
124
011

prune25.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 11.1b

localize51.0ms

Local error

Found 3 expressions with local error:

0.2b
(/ (/ z t) (/ t z))
3.0b
(fma x (/ x (* y y)) (/ (/ z t) (/ t z)))
9.5b
(/ x (* y y))

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
424×times-frac
201×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
30×div-inv
20×add-cbrt-cube add-exp-log
16×associate-/l*
14×associate-/r*
10×cbrt-undiv div-exp
3×expm1-log1p-u pow1 log1p-expm1-u add-log-exp
2×clear-num frac-2neg
1×prod-exp associate-/r/ cbrt-unprod fma-udef associate-/l/
Counts
3 → 250
Calls
3 calls:
29.0ms
(/ (/ z t) (/ t z))
1.0ms
(fma x (/ x (* y y)) (/ (/ z t) (/ t z)))
14.0ms
(/ x (* y y))

series260.0ms

Counts
3 → 9
Calls
3 calls:
43.0ms
(/ (/ z t) (/ t z))
168.0ms
(fma x (/ x (* y y)) (/ (/ z t) (/ t z)))
48.0ms
(/ x (* y y))

simplify1.1s

Counts
259 → 259
Iterations
IterNodes
done5000
11611
0477

prune2.1s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
82×add-sqr-sqrt
80×times-frac
58×*-un-lft-identity add-cube-cbrt
26×add-cbrt-cube swap-sqr associate-*r* associate-*l* add-exp-log
16×pow1
8×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv unswap-sqr
2×pow2 expm1-log1p-u frac-times pow-plus pow-prod-down associate-*l/ associate-*r/ pow-sqr *-commutative pow-prod-up log1p-expm1-u add-log-exp
Counts
2 → 138
Calls
2 calls:
31.0ms
(* (/ x y) (/ x y))
20.0ms
(* (/ z t) (/ z t))

series72.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(* (/ x y) (/ x y))
39.0ms
(* (/ z t) (/ z t))

simplify509.0ms

Counts
144 → 144
Iterations
IterNodes
done5001
1764
0215

prune1.1s

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 0.0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
0.9b
(/ (cbrt x) (/ (cbrt y) (/ x y)))

rewrite146.0ms

Algorithm
rewrite-expression-head
Rules
1422×times-frac
658×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
534×cbrt-prod
83×associate-/r*
50×div-inv
13×add-exp-log
8×add-cbrt-cube associate-/r/
6×cbrt-undiv div-exp associate-/l*
4×expm1-log1p-u pow1 log1p-expm1-u add-log-exp
3×pow1/3
1×clear-num frac-2neg
Counts
4 → 645
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
38.0ms
(/ (cbrt x) (/ (cbrt y) (/ x y)))

series1.1s

Counts
4 → 12
Calls
4 calls:
271.0ms
(cbrt x)
295.0ms
(cbrt x)
325.0ms
(cbrt x)
182.0ms
(/ (cbrt x) (/ (cbrt y) (/ x y)))

simplify1.9s

Counts
657 → 657
Iterations
IterNodes
done5000
12977
01012

prune4.8s

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 0.0b

localize49.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(* (cbrt y) (cbrt y))
1.1b
(* (/ (/ x y) (* (cbrt y) (cbrt y))) (/ x (cbrt y)))

rewrite104.0ms

Algorithm
rewrite-expression-head
Rules
70×add-sqr-sqrt
55×times-frac
47×add-exp-log
35×*-un-lft-identity add-cube-cbrt
34×cbrt-prod
32×add-cbrt-cube
28×associate-*r*
23×associate-*l*
17×cbrt-undiv div-exp
15×prod-exp cbrt-unprod
13×pow1 unswap-sqr
8×pow1/3
6×swap-sqr
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow-prod-down div-inv
2×pow-sqr *-commutative pow-prod-up
1×pow2 frac-times pow-plus associate-*l/ associate-*r/
Counts
4 → 150
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
16.0ms
(* (cbrt y) (cbrt y))
74.0ms
(* (/ (/ x y) (* (cbrt y) (cbrt y))) (/ x (cbrt y)))

series915.0ms

Counts
4 → 12
Calls
4 calls:
243.0ms
(cbrt y)
273.0ms
(cbrt y)
308.0ms
(* (cbrt y) (cbrt y))
90.0ms
(* (/ (/ x y) (* (cbrt y) (cbrt y))) (/ x (cbrt y)))

simplify461.0ms

Counts
162 → 162
Iterations
IterNodes
done5001
1720
0223

prune1.0s

Pruning

16 alts after pruning (14 fresh and 2 done)

Merged error: 0.0b

regimes1.8s

Accuracy

0% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 0.9b

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done18
118
015

end0.0ms

sample2.3s

Algorithm
intervals
Results
1.7s15613×body80valid