Details

Time bar (total: 8.1s)

sample51.0ms

Algorithm
intervals
Results
23.0ms321×body80valid

simplify77.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01012
11612
22912
33812
44512
55112
65412
done5412

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.7b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ x 4.0) y)
0.0b
(- (/ (+ x 4.0) y) (* (/ x y) z))
2.7b
(* (/ x y) z)

rewrite159.0ms

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:
40.0ms
(/ (+ x 4.0) y)
98.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
15.0ms
(* (/ x y) z)

series175.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(/ (+ x 4.0) y)
87.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
42.0ms
(* (/ x y) z)

simplify1.2s

Counts
88 → 88
Iterations

Useful iterations: 2 (298.0ms)

IterNodesCost
0142904
1351859
21679785
done5002785

prune275.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ 4.0 y) (/ x y))
0.0b
(- (+ (/ 4.0 y) (/ x y)) (* (/ x y) z))
2.7b
(* (/ x y) z)

rewrite236.0ms

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:
28.0ms
(+ (/ 4.0 y) (/ x y))
189.0ms
(- (+ (/ 4.0 y) (/ x y)) (* (/ x y) z))
15.0ms
(* (/ x y) z)

series105.0ms

Counts
3 → 9
Calls
3 calls:
31.0ms
(+ (/ 4.0 y) (/ x y))
48.0ms
(- (+ (/ 4.0 y) (/ x y)) (* (/ x y) z))
26.0ms
(* (/ x y) z)

simplify986.0ms

Counts
75 → 75
Iterations

Useful iterations: done (984.0ms)

IterNodesCost
0132939
1345882
21745784
done5001782

prune201.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
2.7b
(* (/ x y) z)

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
13×associate-*l*
10×times-frac
9×add-exp-log cbrt-prod add-cbrt-cube
6×pow1
4×add-log-exp
3×pow1/3 associate-*r*
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv div-exp pow-prod-down associate-*l/ *-commutative div-inv
Counts
4 → 65
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)
15.0ms
(* (/ x y) z)

series641.0ms

Counts
4 → 12
Calls
4 calls:
205.0ms
(cbrt y)
201.0ms
(cbrt y)
204.0ms
(cbrt y)
30.0ms
(* (/ x y) z)

simplify587.0ms

Counts
77 → 77
Iterations

Useful iterations: done (585.0ms)

IterNodesCost
086456
1195439
2871389
done5001380

prune288.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (/ (+ x 4.0) y))
0.6b
(cbrt (/ (+ x 4.0) y))
0.6b
(cbrt (/ (+ x 4.0) y))
2.7b
(* (/ x y) z)

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
54×*-un-lft-identity
48×cbrt-prod
46×times-frac
41×add-sqr-sqrt
36×add-cube-cbrt
13×associate-*l*
9×add-exp-log add-cbrt-cube distribute-lft-out
6×pow1
4×div-inv add-log-exp
3×cbrt-div pow1/3 associate-*r*
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv div-exp pow-prod-down associate-*l/ *-commutative
Counts
4 → 107
Calls
4 calls:
6.0ms
(cbrt (/ (+ x 4.0) y))
5.0ms
(cbrt (/ (+ x 4.0) y))
5.0ms
(cbrt (/ (+ x 4.0) y))
15.0ms
(* (/ x y) z)

series417.0ms

Counts
4 → 12
Calls
4 calls:
134.0ms
(cbrt (/ (+ x 4.0) y))
130.0ms
(cbrt (/ (+ x 4.0) y))
130.0ms
(cbrt (/ (+ x 4.0) y))
24.0ms
(* (/ x y) z)

simplify745.0ms

Counts
119 → 119
Iterations

Useful iterations: done (741.0ms)

IterNodesCost
01661653
13361597
212581485
done50011410

prune507.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes131.0ms

Accuracy

83.7% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 2.6b

bsearch108.0ms

Steps
ItersRangePoint
8
1.0553990283636674e-106
2.2958896012192613e-102
9.897501881007223e-104
9
-5.2465296843831826e+60
-7.230831566044182e+52
-1.6856253715659231e+53

simplify4.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
02950
13548
done3548

end0.0ms

sample1.1s

Algorithm
intervals
Results
651.0ms10144×body80valid