Details

Time bar (total: 7.8s)

sample21.0ms

Algorithm
intervals
Results
10.0ms332×body80valid

simplify39.0ms

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: 0.7b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ x 4.0) y)
0.0b
(- (/ (+ x 4.0) y) (* (/ x y) z))
2.3b
(* (/ x y) z)

rewrite56.0ms

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:
8.0ms
(/ (+ x 4.0) y)
33.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
8.0ms
(* (/ x y) z)

series95.0ms

Counts
3 → 9
Calls
3 calls:
31.0ms
(/ (+ x 4.0) y)
42.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
21.0ms
(* (/ x y) z)

simplify522.0ms

Counts
126 → 126
Iterations

Useful iterations: done (519.0ms)

IterNodesCost
01651542
14001481
213091346
done50011338

prune328.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (+ (/ x y) (/ 4.0 y)) (* (/ x y) z))
0.0b
(+ (/ x y) (/ 4.0 y))
2.3b
(* (/ x y) z)

rewrite189.0ms

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:
160.0ms
(- (+ (/ x y) (/ 4.0 y)) (* (/ x y) z))
17.0ms
(+ (/ x y) (/ 4.0 y))
8.0ms
(* (/ x y) z)

series96.0ms

Counts
3 → 9
Calls
3 calls:
47.0ms
(- (+ (/ x y) (/ 4.0 y)) (* (/ x y) z))
28.0ms
(+ (/ x y) (/ 4.0 y))
21.0ms
(* (/ x y) z)

simplify563.0ms

Counts
110 → 110
Iterations

Useful iterations: done (561.0ms)

IterNodesCost
01531289
13931218
214391081
done50001079

prune306.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)
2.0b
(* (/ x y) (* (cbrt z) (cbrt z)))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
16×add-exp-log
14×add-cube-cbrt *-un-lft-identity
13×associate-*l*
12×add-cbrt-cube
10×times-frac
9×pow1 cbrt-prod
6×prod-exp cbrt-unprod
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 pow-prod-down
2×cbrt-undiv div-exp unswap-sqr
1×associate-*r* associate-*l/ *-commutative div-inv
Counts
4 → 76
Calls
4 calls:
0.0ms
(cbrt z)
0.0ms
(cbrt z)
1.0ms
(cbrt z)
15.0ms
(* (/ x y) (* (cbrt z) (cbrt z)))

series668.0ms

Counts
4 → 12
Calls
4 calls:
190.0ms
(cbrt z)
179.0ms
(cbrt z)
179.0ms
(cbrt z)
119.0ms
(* (/ x y) (* (cbrt z) (cbrt z)))

simplify2.2s

Counts
88 → 88
Iterations

Useful iterations: 3 (552.0ms)

IterNodesCost
0101693
1259670
2867520
34222511
done5000511

prune274.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
2.0b
(* (/ (cbrt x) y) z)
2.6b
(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) y) z))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
66×add-exp-log
35×add-cbrt-cube
33×prod-exp
30×add-sqr-sqrt
29×associate-*l*
23×times-frac
22×add-cube-cbrt *-un-lft-identity
20×cbrt-unprod
18×div-exp
16×cbrt-prod
11×pow1
10×cbrt-undiv
6×1-exp
4×expm1-log1p-u associate-*r* pow-prod-down associate-*l/ log1p-expm1-u add-log-exp
3×unswap-sqr
2×pow1/3 *-commutative div-inv
1×frac-times associate-*r/
Counts
4 → 117
Calls
4 calls:
0.0ms
(cbrt x)
1.0ms
(cbrt x)
11.0ms
(* (/ (cbrt x) y) z)
25.0ms
(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) y) z))

series511.0ms

Counts
4 → 12
Calls
4 calls:
174.0ms
(cbrt x)
178.0ms
(cbrt x)
111.0ms
(* (/ (cbrt x) y) z)
47.0ms
(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) y) z))

simplify857.0ms

Counts
129 → 129
Iterations

Useful iterations: 2 (186.0ms)

IterNodesCost
01721505
14871320
21897933
done5001933

prune377.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes97.0ms

Accuracy

0% (1.7b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01319
11619
done1619

end0.0ms

sample504.0ms

Algorithm
intervals
Results
298.0ms10137×body80valid