Details

Time bar (total: 15.7s)

sample28.0ms

Algorithm
intervals
Results
13.0ms334×body80valid

simplify101.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01012
11612
22912
34212
44912
55512
66012
76212
done6212

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.2b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ x 4.0) y)
0.0b
(- (/ (+ x 4.0) y) (* (/ x y) z))
3.4b
(* (/ x y) z)

rewrite182.0ms

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:
38.0ms
(/ (+ x 4.0) y)
102.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
35.0ms
(* (/ x y) z)

series153.0ms

Counts
3 → 9
Calls
3 calls:
41.0ms
(/ (+ x 4.0) y)
81.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
31.0ms
(* (/ x y) z)

simplify2.9s

Counts
126 → 126
Iterations

Useful iterations: done (2.9s)

IterNodesCost
01651542
13981481
211521348
337461275
done50001256

prune427.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

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))
3.4b
(* (/ x y) z)

rewrite406.0ms

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:
335.0ms
(- (+ (/ x y) (/ 4.0 y)) (* (/ x y) z))
30.0ms
(+ (/ x y) (/ 4.0 y))
37.0ms
(* (/ x y) z)

series121.0ms

Counts
3 → 9
Calls
3 calls:
66.0ms
(- (+ (/ x y) (/ 4.0 y)) (* (/ x y) z))
30.0ms
(+ (/ x y) (/ 4.0 y))
24.0ms
(* (/ x y) z)

simplify3.0s

Counts
110 → 110
Iterations

Useful iterations: 3 (1.6s)

IterNodesCost
01531289
13831218
212261081
34950970
done5000970

prune466.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 2 expressions with local error:

0.1b
(fma (+ x 4.0) (/ 1 y) (- (* (/ x y) z)))
3.4b
(* (/ x y) z)

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
13×associate-*l*
10×add-cube-cbrt *-un-lft-identity times-frac
7×add-exp-log add-cbrt-cube
4×pow1
3×associate-*r*
2×expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u add-log-exp unswap-sqr
1×cbrt-undiv div-exp pow-prod-down associate-*l/ *-commutative fma-udef div-inv
Counts
2 → 44
Calls
2 calls:
1.0ms
(fma (+ x 4.0) (/ 1 y) (- (* (/ x y) z)))
31.0ms
(* (/ x y) z)

series109.0ms

Counts
2 → 6
Calls
2 calls:
68.0ms
(fma (+ x 4.0) (/ 1 y) (- (* (/ x y) z)))
40.0ms
(* (/ x y) z)

simplify3.1s

Counts
50 → 50
Iterations

Useful iterations: 3 (522.0ms)

IterNodesCost
086493
1189485
2539396
31569383
done5000383

prune177.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ x 4.0) y)
0.0b
(- (/ (+ x 4.0) y) (* x (/ z y)))
5.6b
(* x (/ z y))

rewrite137.0ms

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-*r*
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:
19.0ms
(/ (+ x 4.0) y)
93.0ms
(- (/ (+ x 4.0) y) (* x (/ z y)))
21.0ms
(* x (/ z y))

series155.0ms

Counts
3 → 9
Calls
3 calls:
49.0ms
(/ (+ x 4.0) y)
74.0ms
(- (/ (+ x 4.0) y) (* x (/ z y)))
32.0ms
(* x (/ z y))

simplify2.1s

Counts
126 → 126
Iterations

Useful iterations: done (2.1s)

IterNodesCost
01651558
14051485
211391360
335701306
done50001287

prune380.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes121.0ms

Accuracy

36.6% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 1.6b

bsearch119.0ms

Steps
ItersRangePoint
8
9.68315564869146e-167
5.2133707281675864e-163
5.1458150027442665e-163
8
-1.5687549986519656e+132
-2.6401088364687958e+128
-7.768829658364722e+128

simplify6.0ms

Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
02044
12633
done2633

end0.0ms

sample1.4s

Algorithm
intervals
Results
970.0ms10209×body80valid