Details

Time bar (total: 12.9s)

sample60.0ms

Algorithm
intervals
Results
29.0ms311×body80valid

simplify63.0ms

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.3b

localize21.0ms

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)

rewrite127.0ms

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)
77.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
28.0ms
(* (/ x y) z)

series134.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(/ (+ x 4.0) y)
63.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
33.0ms
(* (/ x y) z)

simplify2.0s

Counts
126 → 126
Iterations
IterNodes
done5001
22049
1411
0165

prune741.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

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)

rewrite289.0ms

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:
21.0ms
(+ (/ x y) (/ 4.0 y))
241.0ms
(- (+ (/ x y) (/ 4.0 y)) (* (/ x y) z))
20.0ms
(* (/ x y) z)

series135.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(+ (/ x y) (/ 4.0 y))
65.0ms
(- (+ (/ x y) (/ 4.0 y)) (* (/ x y) z))
33.0ms
(* (/ x y) z)

simplify2.0s

Counts
110 → 110
Iterations
IterNodes
done5001
22072
1396
0153

prune625.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize40.0ms

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))

rewrite45.0ms

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:
28.0ms
(* (cbrt (/ x y)) (cbrt (/ x y)))
4.0ms
(cbrt (/ x y))
4.0ms
(cbrt (/ x y))
4.0ms
(cbrt (/ x y))

series354.0ms

Counts
4 → 12
Calls
4 calls:
97.0ms
(* (cbrt (/ x y)) (cbrt (/ x y)))
94.0ms
(cbrt (/ x y))
70.0ms
(cbrt (/ x y))
94.0ms
(cbrt (/ x y))

simplify1.3s

Counts
164 → 164
Iterations
IterNodes
done5001
21230
1290
0165

prune1.0s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize28.0ms

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)

rewrite314.0ms

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:
22.0ms
(+ (/ x y) (/ 4.0 y))
265.0ms
(- (+ (/ x y) (/ 4.0 y)) (/ (* x z) y))
15.0ms
(/ (* x z) y)

series120.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(+ (/ x y) (/ 4.0 y))
60.0ms
(- (+ (/ x y) (/ 4.0 y)) (/ (* x z) y))
26.0ms
(/ (* x z) y)

simplify1.4s

Counts
150 → 150
Iterations
IterNodes
done5001
22549
1535
0203

prune637.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes187.0ms

Accuracy

47.9% (1.8b remaining)

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

bsearch45.0ms

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

simplify5.0ms

Iterations
IterNodes
done20
120
018

end0.0ms

sample1.3s

Algorithm
intervals
Results
912.0ms10109×body80valid