Details

Time bar (total: 10.7s)

sample21.0ms

Algorithm
intervals
Results
10.0ms322×body80valid

simplify46.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01012
11612
22812
34312
45012
55612
66112
76312
done6312

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.6b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ (+ x 4.0) y) (* (/ x y) z))
0.0b
(/ (+ x 4.0) y)
4.4b
(* (/ x y) z)

rewrite55.0ms

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-exp-log add-cbrt-cube distribute-lft-out
5×pow1 add-log-exp
4×div-inv associate-/l*
3×expm1-log1p-u associate-*r* associate-*l/ associate-/r* log1p-expm1-u
2×cbrt-undiv div-exp prod-exp cbrt-unprod associate-/l/ unswap-sqr
1×sub-neg flip3-- frac-2neg flip3-+ diff-log pow-prod-down clear-num *-commutative frac-sub flip-- flip-+ sub-div
Counts
3 → 117
Calls
3 calls:
35.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
8.0ms
(/ (+ x 4.0) y)
8.0ms
(* (/ x y) z)

series94.0ms

Counts
3 → 9
Calls
3 calls:
43.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
30.0ms
(/ (+ x 4.0) y)
21.0ms
(* (/ x y) z)

simplify1.9s

Counts
126 → 126
Iterations

Useful iterations: 3 (1.1s)

IterNodesCost
01651542
13971481
211581348
339231275
done50011275

prune299.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ x y) (/ 4.0 y))
0.0b
(- (+ (/ x y) (/ 4.0 y)) (* (/ x y) z))
4.4b
(* (/ x y) z)

rewrite182.0ms

Algorithm
rewrite-expression-head
Rules
50×*-un-lft-identity
37×times-frac
31×add-sqr-sqrt
26×add-cube-cbrt
13×fma-def associate-*l*
12×distribute-lft-out
10×add-log-exp
8×add-exp-log fma-neg prod-diff add-cbrt-cube div-inv
5×pow1
4×associate-*l/
3×expm1-log1p-u distribute-rgt-out associate-*r* frac-sub log1p-expm1-u
2×flip3-+ diff-log frac-add prod-exp sum-log cbrt-unprod flip-+ unswap-sqr
1×cbrt-undiv +-commutative sub-neg flip3-- div-exp pow-prod-down associate--l+ *-commutative flip--
Counts
3 → 101
Calls
3 calls:
16.0ms
(+ (/ x y) (/ 4.0 y))
154.0ms
(- (+ (/ x y) (/ 4.0 y)) (* (/ x y) z))
8.0ms
(* (/ x y) z)

series96.0ms

Counts
3 → 9
Calls
3 calls:
29.0ms
(+ (/ x y) (/ 4.0 y))
46.0ms
(- (+ (/ x y) (/ 4.0 y)) (* (/ x y) z))
21.0ms
(* (/ x y) z)

simplify2.3s

Counts
110 → 110
Iterations

Useful iterations: 3 (1.3s)

IterNodesCost
01531289
13821218
212411081
34878970
done5000970

prune308.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

4.4b
(* (/ x y) z)
13.0b
(cbrt (* (/ x y) z))
13.0b
(cbrt (* (/ x y) z))
13.0b
(cbrt (* (/ x y) z))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*l*
12×add-cube-cbrt *-un-lft-identity
10×times-frac
9×add-exp-log add-cbrt-cube
6×pow1
4×expm1-log1p-u associate-*l/ log1p-expm1-u add-log-exp
3×cbrt-prod cbrt-div pow1/3 associate-*r*
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv div-exp pow-prod-down *-commutative div-inv
Counts
4 → 70
Calls
4 calls:
7.0ms
(* (/ x y) z)
3.0ms
(cbrt (* (/ x y) z))
3.0ms
(cbrt (* (/ x y) z))
3.0ms
(cbrt (* (/ x y) z))

series272.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(* (/ x y) z)
82.0ms
(cbrt (* (/ x y) z))
83.0ms
(cbrt (* (/ x y) z))
86.0ms
(cbrt (* (/ x y) z))

simplify2.5s

Counts
82 → 82
Iterations

Useful iterations: 3 (407.0ms)

IterNodesCost
0105705
1222685
2631608
31914572
done5001572

prune287.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (+ x 4.0) (* x z))
2.9b
(/ (- (+ x 4.0) (* x z)) y)

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
16×*-un-lft-identity
12×add-sqr-sqrt add-cube-cbrt
9×times-frac
7×add-log-exp
4×add-exp-log fma-neg prod-diff add-cbrt-cube
3×associate-/r* associate-/l*
2×pow1 expm1-log1p-u flip3-- diff-log flip-- log1p-expm1-u associate-/l/ distribute-lft-out
1×cbrt-undiv sub-neg frac-2neg div-sub div-exp associate--l+ clear-num sum-log div-inv
Counts
2 → 56
Calls
2 calls:
23.0ms
(- (+ x 4.0) (* x z))
37.0ms
(/ (- (+ x 4.0) (* x z)) y)

series68.0ms

Counts
2 → 6
Calls
2 calls:
21.0ms
(- (+ x 4.0) (* x z))
47.0ms
(/ (- (+ x 4.0) (* x z)) y)

simplify1.4s

Counts
62 → 62
Iterations

Useful iterations: done (1.4s)

IterNodesCost
097834
1232809
2689737
32748729
done5001724

prune138.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes106.0ms

Accuracy

82.7% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 1.5b

bsearch93.0ms

Steps
ItersRangePoint
8
1.754371469223852e+43
7.029825254683234e+46
2.3836214952764914e+44
10
-1.1434655787322831e+101
-1.1664426804661732e+88
-4.0025647343369246e+88

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02546
13046
done3046

end0.0ms

sample501.0ms

Algorithm
intervals
Results
299.0ms10076×body80valid