Details

Time bar (total: 13.1s)

sample52.0ms

Algorithm
intervals
Results
24.0ms328×body80valid

simplify95.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01012
11612
22912
34212
44912
55512
66112
76312
done6312

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.7b

localize29.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ x 4.0) y)
0.0b
(- (/ (+ x 4.0) y) (* (/ x y) z))
2.4b
(* (/ x y) z)

rewrite154.0ms

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:
37.0ms
(/ (+ x 4.0) y)
78.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
30.0ms
(* (/ x y) z)

series137.0ms

Counts
3 → 9
Calls
3 calls:
49.0ms
(/ (+ x 4.0) y)
60.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
27.0ms
(* (/ x y) z)

simplify1.8s

Counts
126 → 126
Iterations

Useful iterations: done (1.8s)

IterNodesCost
01651542
14121481
220911348
done50001303

prune595.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

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))
2.4b
(* (/ x y) z)

rewrite434.0ms

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:
28.0ms
(+ (/ x y) (/ 4.0 y))
381.0ms
(- (+ (/ x y) (/ 4.0 y)) (* (/ x y) z))
20.0ms
(* (/ x y) z)

series130.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(+ (/ x y) (/ 4.0 y))
59.0ms
(- (+ (/ x y) (/ 4.0 y)) (* (/ x y) z))
37.0ms
(* (/ x y) z)

simplify2.1s

Counts
110 → 110
Iterations

Useful iterations: done (2.1s)

IterNodesCost
01531289
13971218
222011081
done50001039

prune554.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
2.4b
(* (/ x y) z)

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
13×associate-*l*
10×times-frac
9×add-exp-log cbrt-prod add-cbrt-cube
6×pow1
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 associate-*r*
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv div-exp pow-prod-down associate-*l/ *-commutative div-inv
Counts
4 → 73
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)
18.0ms
(* (/ x y) z)

series917.0ms

Counts
4 → 12
Calls
4 calls:
320.0ms
(cbrt y)
280.0ms
(cbrt y)
287.0ms
(cbrt y)
30.0ms
(* (/ x y) z)

simplify821.0ms

Counts
85 → 85
Iterations

Useful iterations: done (818.0ms)

IterNodesCost
090486
1198469
2891419
done5000410

prune515.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ x 4.0) y)
0.0b
(- (/ (+ x 4.0) y) (/ (* x z) y))
5.3b
(/ (* x z) y)

rewrite159.0ms

Algorithm
rewrite-expression-head
Rules
168×*-un-lft-identity
160×times-frac
115×add-sqr-sqrt
112×prod-diff
110×add-cube-cbrt
28×div-inv distribute-lft-out
16×fma-neg
10×add-exp-log add-cbrt-cube
6×associate-/r*
5×associate-/l* add-log-exp
3×pow1 cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u
2×frac-2neg clear-num associate-/l/ difference-of-squares
1×sub-neg flip3-- distribute-rgt-out-- flip3-+ diff-log prod-exp frac-sub flip-- cbrt-unprod flip-+ distribute-lft-out-- sub-div
Counts
3 → 206
Calls
3 calls:
29.0ms
(/ (+ x 4.0) y)
94.0ms
(- (/ (+ x 4.0) y) (/ (* x z) y))
20.0ms
(/ (* x z) y)

series106.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(/ (+ x 4.0) y)
49.0ms
(- (/ (+ x 4.0) y) (/ (* x z) y))
22.0ms
(/ (* x z) y)

simplify1.6s

Counts
215 → 215
Iterations

Useful iterations: done (1.6s)

IterNodesCost
02506423
16195192
226974286
done50004055

prune897.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes249.0ms

Accuracy

94.5% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 2.5b

bsearch71.0ms

Steps
ItersRangePoint
5
8.374457597286449e-24
3.178018609433752e-23
1.4318648069754203e-23
6
-3.971816501190283e+74
-3.8607542324188295e+73
-5.4332739855837574e+73

simplify7.0ms

Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
02950
13548
done3548

end0.0ms

sample1.5s

Algorithm
intervals
Results
1.0s10096×body80valid