Details

Time bar (total: 16.5s)

sample29.0ms

Algorithm
intervals
Results
13.0ms317×body80valid

simplify43.0ms

Counts
1 → 1
Iterations
IterNodes
done63
763
661
555
449
342
229
116
010

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ x 4.0) y)
0.0b
(- (/ (+ x 4.0) y) (* (/ x y) z))
2.0b
(* (/ x y) z)

rewrite159.0ms

Algorithm
rewrite-expression-head
Rules
56×*-un-lft-identity
46×times-frac
41×add-sqr-sqrt
36×add-cube-cbrt
16×fma-neg prod-diff
13×associate-*l*
10×add-cbrt-cube add-exp-log distribute-lft-out
5×pow1 add-log-exp
4×div-inv associate-/l*
3×expm1-log1p-u associate-/r* associate-*r* associate-*l/ log1p-expm1-u
2×cbrt-undiv div-exp prod-exp cbrt-unprod unswap-sqr associate-/l/
1×clear-num sub-neg frac-2neg flip3-+ flip3-- diff-log pow-prod-down *-commutative frac-sub flip-+ flip-- sub-div
Counts
3 → 117
Calls
3 calls:
28.0ms
(/ (+ x 4.0) y)
107.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
16.0ms
(* (/ x y) z)

series183.0ms

Counts
3 → 9
Calls
3 calls:
54.0ms
(/ (+ x 4.0) y)
84.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
46.0ms
(* (/ x y) z)

simplify1.9s

Counts
126 → 126
Iterations
IterNodes
done5001
22049
1411
0165

prune658.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ (* (cbrt (+ x 4.0)) (cbrt (+ x 4.0))) (/ y (cbrt (+ 4.0 x))))
0.4b
(/ y (cbrt (+ 4.0 x)))
0.8b
(* (cbrt (+ x 4.0)) (cbrt (+ x 4.0)))
2.0b
(* (/ x y) z)

rewrite131.0ms

Algorithm
rewrite-expression-head
Rules
100×times-frac
98×*-un-lft-identity
77×add-sqr-sqrt
64×cbrt-prod add-cube-cbrt
34×associate-/r*
30×cbrt-div
25×add-exp-log
20×associate-*l*
16×add-cbrt-cube distribute-lft-out
15×flip3-+ flip-+
13×pow1
10×associate-*r*
9×swap-sqr
8×frac-times cbrt-undiv div-exp associate-/l/
7×associate-/r/
6×pow1/3 unswap-sqr
5×associate-*l/ prod-exp cbrt-unprod div-inv
4×expm1-log1p-u associate-*r/ log1p-expm1-u associate-/l* add-log-exp
3×pow-prod-down
2×clear-num frac-2neg pow-sqr *-commutative pow-prod-up
1×pow2 pow-plus
Counts
4 → 220
Calls
4 calls:
46.0ms
(/ (* (cbrt (+ x 4.0)) (cbrt (+ x 4.0))) (/ y (cbrt (+ 4.0 x))))
10.0ms
(/ y (cbrt (+ 4.0 x)))
45.0ms
(* (cbrt (+ x 4.0)) (cbrt (+ x 4.0)))
16.0ms
(* (/ x y) z)

series390.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(/ (* (cbrt (+ x 4.0)) (cbrt (+ x 4.0))) (/ y (cbrt (+ 4.0 x))))
208.0ms
(/ y (cbrt (+ 4.0 x)))
128.0ms
(* (cbrt (+ x 4.0)) (cbrt (+ x 4.0)))
24.0ms
(* (/ x y) z)

simplify540.0ms

Counts
232 → 232
Iterations
IterNodes
done5000
11002
0387

prune1.5s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ y (cbrt (cbrt (+ 4.0 x))))
0.3b
(/ (* (* (cbrt (+ x 4.0)) (cbrt (+ x 4.0))) (* (cbrt (cbrt (+ x 4.0))) (cbrt (cbrt (+ x 4.0))))) (/ y (cbrt (cbrt (+ 4.0 x)))))
0.8b
(* (cbrt (+ x 4.0)) (cbrt (+ x 4.0)))
2.0b
(* (/ x y) z)

rewrite308.0ms

Algorithm
rewrite-expression-head
Rules
348×cbrt-div
140×frac-times
136×times-frac
134×cbrt-prod
117×*-un-lft-identity flip3-+ flip-+
96×add-sqr-sqrt
83×add-cube-cbrt
80×associate-/l/
54×add-exp-log
47×associate-*l/
46×associate-/r* associate-*r/
30×add-cbrt-cube
20×associate-*l*
19×prod-exp cbrt-unprod
17×cbrt-undiv div-exp
16×distribute-lft-out
13×pow1
10×associate-*r*
9×swap-sqr
7×associate-/r/
6×pow1/3 unswap-sqr
5×div-inv
4×expm1-log1p-u log1p-expm1-u associate-/l* add-log-exp
3×pow-prod-down
2×clear-num frac-2neg pow-sqr *-commutative pow-prod-up
1×pow2 pow-plus
Counts
4 → 334
Calls
4 calls:
11.0ms
(/ y (cbrt (cbrt (+ 4.0 x))))
182.0ms
(/ (* (* (cbrt (+ x 4.0)) (cbrt (+ x 4.0))) (* (cbrt (cbrt (+ x 4.0))) (cbrt (cbrt (+ x 4.0))))) (/ y (cbrt (cbrt (+ 4.0 x)))))
60.0ms
(* (cbrt (+ x 4.0)) (cbrt (+ x 4.0)))
19.0ms
(* (/ x y) z)

series492.0ms

Counts
4 → 12
Calls
4 calls:
203.0ms
(/ y (cbrt (cbrt (+ 4.0 x))))
49.0ms
(/ (* (* (cbrt (+ x 4.0)) (cbrt (+ x 4.0))) (* (cbrt (cbrt (+ x 4.0))) (cbrt (cbrt (+ x 4.0))))) (/ y (cbrt (cbrt (+ 4.0 x)))))
201.0ms
(* (cbrt (+ x 4.0)) (cbrt (+ x 4.0)))
39.0ms
(* (/ x y) z)

simplify835.0ms

Counts
346 → 346
Iterations
IterNodes
done5000
11710
0555

prune3.1s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.4b
(/ (cbrt (+ 4.0 x)) (cbrt y))
0.6b
(cbrt y)
0.7b
(pow (/ (cbrt (+ 4.0 x)) (cbrt y)) 3)
1.2b
(fma (- (/ x y)) z (pow (/ (cbrt (+ 4.0 x)) (cbrt y)) 3))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
145×cbrt-prod
128×*-un-lft-identity
126×times-frac
90×add-sqr-sqrt add-cube-cbrt
46×unpow-prod-down cube-prod
19×distribute-lft-out
9×add-exp-log
7×associate-/l*
6×associate-/r*
5×pow1 add-cbrt-cube
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow-unpow div-inv
2×cbrt-undiv cbrt-div div-exp pow-exp rem-cube-cbrt associate-/l/
1×cube-div cube-mult pow-to-exp clear-num pow-pow frac-2neg flip3-+ pow1/3 unpow3 flip-+ fma-udef sqr-pow
Counts
4 → 208
Calls
4 calls:
21.0ms
(/ (cbrt (+ 4.0 x)) (cbrt y))
1.0ms
(cbrt y)
16.0ms
(pow (/ (cbrt (+ 4.0 x)) (cbrt y)) 3)
0.0ms
(fma (- (/ x y)) z (pow (/ (cbrt (+ 4.0 x)) (cbrt y)) 3))

series998.0ms

Counts
4 → 12
Calls
4 calls:
133.0ms
(/ (cbrt (+ 4.0 x)) (cbrt y))
280.0ms
(cbrt y)
333.0ms
(pow (/ (cbrt (+ 4.0 x)) (cbrt y)) 3)
250.0ms
(fma (- (/ x y)) z (pow (/ (cbrt (+ 4.0 x)) (cbrt y)) 3))

simplify1.9s

Counts
220 → 220
Iterations
IterNodes
done5001
24088
11023
0278

prune1.1s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes300.0ms

Accuracy

68.7% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 2.1b

bsearch120.0ms

Steps
ItersRangePoint
7
1.9343765969729131e+68
6.5537575735201594e+69
1.9988960732797364e+68
6
-5.279924240774707e+131
-6.246994090017469e+130
-1.237348821278527e+131

simplify3.0ms

Iterations
IterNodes
done41
141
036

end0.0ms

sample1.7s

Algorithm
intervals
Results
1.2s10207×body80valid