Details

Time bar (total: 13.6s)

sample24.0ms

Algorithm
intervals
Results
11.0ms311×body80valid

simplify52.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010244
116244
229244
342244
449244
555244
661244
763244
done63244

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.3b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ x 4.0) y)
0.0b
(- (/ (+ x 4.0) y) (* (/ x y) z))
2.5b
(* (/ x y) z)

rewrite109.0ms

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:
17.0ms
(/ (+ x 4.0) y)
65.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
20.0ms
(* (/ x y) z)

series157.0ms

Counts
3 → 9
Calls
3 calls:
54.0ms
(/ (+ x 4.0) y)
62.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
41.0ms
(* (/ x y) z)

simplify2.3s

Counts
126 → 126
Iterations

Useful iterations: done (2.3s)

IterNodesCost
016529903
141128556
2204927121
done500126836

prune761.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

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))
2.5b
(* (/ x y) z)

rewrite308.0ms

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-cbrt-cube fma-neg prod-diff add-exp-log div-inv
5×pow1
4×associate-*l/
3×expm1-log1p-u distribute-rgt-out associate-*r* frac-sub log1p-expm1-u
2×sum-log flip3-+ diff-log frac-add prod-exp 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:
42.0ms
(+ (/ x y) (/ 4.0 y))
248.0ms
(- (+ (/ x y) (/ 4.0 y)) (* (/ x y) z))
13.0ms
(* (/ x y) z)

series136.0ms

Counts
3 → 9
Calls
3 calls:
49.0ms
(+ (/ x y) (/ 4.0 y))
61.0ms
(- (+ (/ x y) (/ 4.0 y)) (* (/ x y) z))
26.0ms
(* (/ x y) z)

simplify2.2s

Counts
110 → 110
Iterations

Useful iterations: done (2.2s)

IterNodesCost
015323618
139621874
2207220734
done500120586

prune531.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (/ x y)) (cbrt (/ x y)))
10.2b
(cbrt (/ x y))
10.2b
(cbrt (/ x y))
10.2b
(cbrt (/ x y))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
103×cbrt-prod
81×add-sqr-sqrt
69×times-frac
57×*-un-lft-identity add-cube-cbrt
16×swap-sqr associate-*r* associate-*l*
11×pow1
9×pow1/3 unswap-sqr
7×cbrt-div div-inv
6×add-exp-log
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*l/ prod-exp associate-*r/ *-commutative cbrt-unprod
Counts
4 → 152
Calls
4 calls:
26.0ms
(* (cbrt (/ x y)) (cbrt (/ x y)))
2.0ms
(cbrt (/ x y))
2.0ms
(cbrt (/ x y))
2.0ms
(cbrt (/ x y))

series443.0ms

Counts
4 → 12
Calls
4 calls:
129.0ms
(* (cbrt (/ x y)) (cbrt (/ x y)))
99.0ms
(cbrt (/ x y))
105.0ms
(cbrt (/ x y))
110.0ms
(cbrt (/ x y))

simplify1.4s

Counts
164 → 164
Iterations

Useful iterations: done (1.4s)

IterNodesCost
016551851
129049272
2123048829
done500148149

prune1.0s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ x y) (/ 4.0 y))
0.0b
(- (+ (/ x y) (/ 4.0 y)) (/ (* x z) y))
4.3b
(/ (* x z) y)

rewrite240.0ms

Algorithm
rewrite-expression-head
Rules
131×*-un-lft-identity
90×times-frac
56×add-sqr-sqrt prod-diff
54×add-cube-cbrt
37×distribute-lft-out
28×div-inv
13×fma-def
10×add-log-exp
9×distribute-rgt-out
8×add-cbrt-cube fma-neg add-exp-log
3×expm1-log1p-u pow1 associate-/r* frac-sub log1p-expm1-u
2×cbrt-undiv sum-log flip3-+ diff-log div-exp frac-add flip-+ distribute-lft-out--
1×+-commutative clear-num sub-neg frac-2neg flip3-- prod-exp associate--l+ cbrt-unprod flip-- associate-/l* difference-of-squares
Counts
3 → 141
Calls
3 calls:
23.0ms
(+ (/ x y) (/ 4.0 y))
200.0ms
(- (+ (/ x y) (/ 4.0 y)) (/ (* x z) y))
8.0ms
(/ (* x z) y)

series140.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(+ (/ x y) (/ 4.0 y))
64.0ms
(- (+ (/ x y) (/ 4.0 y)) (/ (* x z) y))
29.0ms
(/ (* x z) y)

simplify1.8s

Counts
150 → 150
Iterations

Useful iterations: done (1.8s)

IterNodesCost
020358322
153552930
2254945672
done500145582

prune670.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes139.0ms

Accuracy

47.9% (1.8b remaining)

Error of 1.8b against oracle of 0.0b and baseline of 3.4b

bsearch41.0ms

Steps
ItersRangePoint
8
3.725521547728394e-54
4.403682652387185e-51
2.331683792302665e-52

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
018575
120575
done20575

end0.0ms

sample939.0ms

Algorithm
intervals
Results
637.0ms10109×body80valid