Details

Time bar (total: 9.7s)

sample20.0ms

Algorithm
intervals
Results
9.0ms322×body80valid

simplify34.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01012
11612
22812
33912
44612
55212
65512
done5512

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.6b

localize8.0ms

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)

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
28×*-un-lft-identity
25×add-sqr-sqrt
22×times-frac
20×add-cube-cbrt
13×associate-*l*
10×add-exp-log add-cbrt-cube
5×pow1 add-log-exp
4×distribute-lft-out associate-/l*
3×associate-*r* associate-*l/ associate-/r*
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv 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 → 79
Calls
3 calls:
27.0ms
(- (/ (+ 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:
46.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
27.0ms
(/ (+ x 4.0) y)
21.0ms
(* (/ x y) z)

simplify1.6s

Counts
88 → 88
Iterations

Useful iterations: 2 (160.0ms)

IterNodesCost
0142904
1342859
2982785
33174785
done5000785

prune210.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite164.0ms

Algorithm
rewrite-expression-head
Rules
21×*-un-lft-identity
18×add-sqr-sqrt
16×times-frac
13×add-cube-cbrt associate-*l*
10×add-log-exp
8×add-exp-log add-cbrt-cube
5×pow1
4×associate-*l/ distribute-lft-out
3×associate-*r* frac-sub div-inv
2×flip3-+ diff-log frac-add prod-exp sum-log cbrt-unprod flip-+ unswap-sqr
1×cbrt-undiv +-commutative sub-neg distribute-rgt-out flip3-- div-exp pow-prod-down associate--l+ *-commutative flip--
Counts
3 → 66
Calls
3 calls:
138.0ms
(- (+ (/ 4.0 y) (/ x y)) (* (/ x y) z))
16.0ms
(+ (/ 4.0 y) (/ x y))
8.0ms
(* (/ x y) z)

series91.0ms

Counts
3 → 9
Calls
3 calls:
45.0ms
(- (+ (/ 4.0 y) (/ x y)) (* (/ x y) z))
25.0ms
(+ (/ 4.0 y) (/ x y))
20.0ms
(* (/ x y) z)

simplify2.0s

Counts
75 → 75
Iterations

Useful iterations: 3 (1.0s)

IterNodesCost
0132939
1333882
21100784
34319772
done5001772

prune196.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize12.0ms

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×associate-*l/ 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 → 62
Calls
4 calls:
8.0ms
(* (/ x y) z)
3.0ms
(cbrt (* (/ x y) z))
3.0ms
(cbrt (* (/ x y) z))
3.0ms
(cbrt (* (/ x y) z))

series269.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(* (/ x y) z)
81.0ms
(cbrt (* (/ x y) z))
82.0ms
(cbrt (* (/ x y) z))
85.0ms
(cbrt (* (/ x y) z))

simplify2.4s

Counts
74 → 74
Iterations

Useful iterations: 3 (410.0ms)

IterNodesCost
0101651
1218631
2627554
31901518
done5000518

prune250.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
7×add-log-exp
4×add-exp-log add-cbrt-cube
3×associate-/r* associate-/l*
2×pow1 flip3-- diff-log flip-- associate-/l/
1×cbrt-undiv sub-neg frac-2neg div-sub div-exp associate--l+ clear-num sum-log div-inv
Counts
2 → 44
Calls
2 calls:
20.0ms
(- (+ x 4.0) (* x z))
34.0ms
(/ (- (+ 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)

simplify1.3s

Counts
50 → 50
Iterations

Useful iterations: done (1.3s)

IterNodesCost
083705
1207685
2622629
32194629
done5000628

prune110.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes100.0ms

Accuracy

82.7% (0.3b remaining)

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

bsearch87.0ms

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 (0.0ms)

IterNodesCost
02546
13046
done3046

end0.0ms

sample503.0ms

Algorithm
intervals
Results
290.0ms10076×body80valid