Details

Time bar (total: 14.6s)

sample36.0ms

Algorithm
intervals
Results
20.0ms335×body80valid

simplify66.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01012
11612
22912
34212
44912
55512
66012
76212
done6212

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.5b

localize35.0ms

Local error

Found 3 expressions with local error:

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

rewrite175.0ms

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:
97.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
37.0ms
(/ (+ x 4.0) y)
31.0ms
(* (/ x y) z)

series140.0ms

Counts
3 → 9
Calls
3 calls:
49.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
50.0ms
(/ (+ x 4.0) y)
40.0ms
(* (/ x y) z)

simplify3.1s

Counts
126 → 126
Iterations

Useful iterations: done (3.1s)

IterNodesCost
01651542
13981481
211551348
337411275
done50001256

prune500.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 1 expressions with local error:

1.5b
(fma (/ x y) (- 1 z) (/ 4.0 y))

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
0.0ms
(fma (/ x y) (- 1 z) (/ 4.0 y))

series48.0ms

Counts
1 → 3
Calls
1 calls:
48.0ms
(fma (/ x y) (- 1 z) (/ 4.0 y))

simplify1.3s

Counts
13 → 13
Iterations

Useful iterations: 3 (55.0ms)

IterNodesCost
025184
146181
2104158
3280149
41299149
done5000149

prune50.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize10.0ms

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))
2.9b
(* (/ x y) z)

rewrite451.0ms

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:
379.0ms
(- (+ (/ x y) (/ 4.0 y)) (* (/ x y) z))
48.0ms
(+ (/ x y) (/ 4.0 y))
16.0ms
(* (/ x y) z)

series132.0ms

Counts
3 → 9
Calls
3 calls:
61.0ms
(- (+ (/ x y) (/ 4.0 y)) (* (/ x y) z))
32.0ms
(+ (/ x y) (/ 4.0 y))
39.0ms
(* (/ x y) z)

simplify3.9s

Counts
110 → 110
Iterations

Useful iterations: 3 (2.2s)

IterNodesCost
01531289
13831218
212261081
34950970
done5000970

prune401.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt z)
0.5b
(cbrt z)
0.7b
(* (* (/ x y) (* (cbrt z) (cbrt z))) (cbrt z))
2.4b
(* (/ x y) (* (cbrt z) (cbrt z)))

rewrite190.0ms

Algorithm
rewrite-expression-head
Rules
34×add-exp-log
21×add-cbrt-cube
18×pow1 add-sqr-sqrt
17×prod-exp cbrt-unprod
15×add-cube-cbrt *-un-lft-identity
14×associate-*l*
10×times-frac
9×cbrt-prod pow-prod-down
7×associate-*r*
4×cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u add-log-exp
3×associate-*l/
2×pow1/3 *-commutative unswap-sqr
1×div-inv
Counts
4 → 94
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
119.0ms
(* (* (/ x y) (* (cbrt z) (cbrt z))) (cbrt z))
63.0ms
(* (/ x y) (* (cbrt z) (cbrt z)))

series743.0ms

Counts
4 → 12
Calls
4 calls:
269.0ms
(cbrt z)
234.0ms
(cbrt z)
72.0ms
(* (* (/ x y) (* (cbrt z) (cbrt z))) (cbrt z))
168.0ms
(* (/ x y) (* (cbrt z) (cbrt z)))

simplify1.8s

Counts
106 → 106
Iterations

Useful iterations: done (1.8s)

IterNodesCost
01301134
13311097
21202759
done5000677

prune402.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes113.0ms

Accuracy

0% (1.6b remaining)

Error of 1.6b against oracle of 0.0b and baseline of 1.6b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01011
11211
done1211

end0.0ms

sample1.1s

Algorithm
intervals
Results
727.0ms10066×body80valid