Details

Time bar (total: 14.2s)

sample55.0ms

Algorithm
intervals
Results
27.0ms519×body80valid

simplify34.0ms

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

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 12.0b

localize26.0ms

Local error

Found 3 expressions with local error:

0.2b
(/ (/ z t) (/ t z))
4.1b
(fma x (/ x (* y y)) (/ (/ z t) (/ t z)))
9.2b
(/ x (* y y))

rewrite75.0ms

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
expm1-log1p-u pow1 log1p-expm1-u add-log-exp
clear-num frac-2neg
prod-exp associate-/r/ cbrt-unprod fma-udef associate-/l/
Counts
3 → 250
Calls
3 calls:
27.0ms
(/ (/ z t) (/ t z))
1.0ms
(fma x (/ x (* y y)) (/ (/ z t) (/ t z)))
12.0ms
(/ x (* y y))

series203.0ms

Counts
3 → 9
Calls
3 calls:
28.0ms
(/ (/ z t) (/ t z))
142.0ms
(fma x (/ x (* y y)) (/ (/ z t) (/ t z)))
32.0ms
(/ x (* y y))

simplify875.0ms

Counts
259 → 259
Iterations
IterNodes
done5000
11611
0477

prune1.7s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* (/ x y) (/ x y)) (* (/ z t) (/ z t)))
0.3b
(* (/ z t) (/ z t))
0.4b
(* (/ x y) (/ x y))

rewrite90.0ms

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
frac-add
frac-times cbrt-undiv div-exp associate-*l/ prod-exp associate-*r/ cbrt-unprod div-inv unswap-sqr
add-log-exp
expm1-log1p-u log1p-expm1-u
pow2 pow-plus pow-prod-down pow-sqr *-commutative pow-prod-up
+-commutative sum-log fma-def flip3-+ flip-+
Counts
3 → 161
Calls
3 calls:
24.0ms
(+ (* (/ x y) (/ x y)) (* (/ z t) (/ z t)))
35.0ms
(* (/ z t) (/ z t))
18.0ms
(* (/ x y) (/ x y))

series223.0ms

Counts
3 → 9
Calls
3 calls:
142.0ms
(+ (* (/ x y) (/ x y)) (* (/ z t) (/ z t)))
39.0ms
(* (/ z t) (/ z t))
42.0ms
(* (/ x y) (/ x y))

simplify491.0ms

Counts
170 → 170
Iterations
IterNodes
done5001
1939
0261

prune1.2s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (/ z t) (/ z t))
10.7b
(cbrt (/ x y))
10.7b
(cbrt (/ x y))
10.7b
(cbrt (/ x y))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
67×times-frac
65×add-sqr-sqrt
53×*-un-lft-identity add-cube-cbrt
39×cbrt-prod
16×add-cbrt-cube add-exp-log
13×swap-sqr associate-*r* associate-*l*
11×pow1
div-inv
expm1-log1p-u cbrt-undiv div-exp prod-exp cbrt-unprod log1p-expm1-u add-log-exp unswap-sqr
cbrt-div pow1/3
pow2 frac-times pow-plus pow-prod-down associate-*l/ associate-*r/ pow-sqr *-commutative pow-prod-up
Counts
4 → 141
Calls
4 calls:
25.0ms
(* (/ z t) (/ z t))
5.0ms
(cbrt (/ x y))
10.0ms
(cbrt (/ x y))
3.0ms
(cbrt (/ x y))

series340.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(* (/ z t) (/ z t))
117.0ms
(cbrt (/ x y))
99.0ms
(cbrt (/ x y))
94.0ms
(cbrt (/ x y))

simplify1.9s

Counts
153 → 153
Iterations
IterNodes
done5001
22699
1496
0187

prune860.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.7b
(cbrt (* (cbrt x) (cbrt x)))
2.3b
(cbrt (/ (cbrt x) y))
10.7b
(cbrt (/ x y))
10.7b
(cbrt (/ x y))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
58×cbrt-prod
36×times-frac
31×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
expm1-log1p-u pow1 add-cbrt-cube pow1/3 add-exp-log log1p-expm1-u add-log-exp
cbrt-div div-inv
Counts
4 → 92
Calls
4 calls:
8.0ms
(cbrt (* (cbrt x) (cbrt x)))
5.0ms
(cbrt (/ (cbrt x) y))
4.0ms
(cbrt (/ x y))
4.0ms
(cbrt (/ x y))

series806.0ms

Counts
4 → 12
Calls
4 calls:
393.0ms
(cbrt (* (cbrt x) (cbrt x)))
227.0ms
(cbrt (/ (cbrt x) y))
86.0ms
(cbrt (/ x y))
100.0ms
(cbrt (/ x y))

simplify1.1s

Counts
104 → 104
Iterations
IterNodes
done5000
32289
2642
1277
0172

prune921.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0b

regimes950.0ms

Accuracy

0% (0.7b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
done23
123
018

end0.0ms

sample2.1s

Algorithm
intervals
Results
1.3s15653×body80valid