Details

Time bar (total: 13.2s)

sample34.0ms

Algorithm
intervals
Results
13.0ms322×body80valid

simplify58.0ms

Counts
1 → 1
Iterations
IterNodes
done58
758
655
552
446
339
229
116
010

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.2b

localize31.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ (+ x 4.0) y) (* (/ x y) z))
0.0b
(/ (+ x 4.0) y)
3.2b
(* (/ x y) z)

rewrite130.0ms

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:
67.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
33.0ms
(/ (+ x 4.0) y)
22.0ms
(* (/ x y) z)

series132.0ms

Counts
3 → 9
Calls
3 calls:
63.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
34.0ms
(/ (+ x 4.0) y)
34.0ms
(* (/ x y) z)

simplify1.4s

Counts
126 → 126
Iterations
IterNodes
done5001
21414
1411
0165

prune756.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ 4.0 y) (- (/ x y) (* z (/ x y))))
0.0b
(- (/ x y) (* z (/ x y)))
3.2b
(* z (/ x y))

rewrite83.0ms

Algorithm
rewrite-expression-head
Rules
47×times-frac
44×add-sqr-sqrt *-un-lft-identity
39×add-cube-cbrt
26×prod-diff
15×associate-+r+
13×fma-def fma-neg associate-*r*
10×add-log-exp
8×add-cbrt-cube add-exp-log
5×pow1 associate-*r/ div-inv
4×frac-add
3×expm1-log1p-u associate-*l* log1p-expm1-u
2×sum-log sub-neg flip3-- distribute-rgt-out-- diff-log prod-exp frac-sub cbrt-unprod flip-- sub-div unswap-sqr
1×cbrt-undiv +-commutative associate-+r- flip3-+ div-exp pow-prod-down *-commutative flip-+ distribute-lft-out
Counts
3 → 126
Calls
3 calls:
44.0ms
(+ (/ 4.0 y) (- (/ x y) (* z (/ x y))))
23.0ms
(- (/ x y) (* z (/ x y)))
11.0ms
(* z (/ x y))

series141.0ms

Counts
3 → 9
Calls
3 calls:
52.0ms
(+ (/ 4.0 y) (- (/ x y) (* z (/ x y))))
63.0ms
(- (/ x y) (* z (/ x y)))
25.0ms
(* z (/ x y))

simplify2.1s

Counts
135 → 135
Iterations
IterNodes
done5004
21796
1483
0182

prune762.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
1.7b
(* (cbrt z) (/ x y))
1.7b
(* (* (cbrt z) (cbrt z)) (* (cbrt z) (/ x y)))

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
30×add-exp-log
25×add-sqr-sqrt
18×pow1 add-cbrt-cube
15×*-un-lft-identity prod-exp add-cube-cbrt cbrt-unprod
14×associate-*r*
11×cbrt-prod times-frac
9×pow-prod-down
7×associate-*l*
4×expm1-log1p-u log1p-expm1-u add-log-exp unswap-sqr
3×cbrt-undiv div-exp associate-*r/
2×pow1/3 *-commutative
1×div-inv
Counts
4 → 94
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
17.0ms
(* (cbrt z) (/ x y))
39.0ms
(* (* (cbrt z) (cbrt z)) (* (cbrt z) (/ x y)))

series720.0ms

Counts
4 → 12
Calls
4 calls:
231.0ms
(cbrt z)
252.0ms
(cbrt z)
171.0ms
(* (cbrt z) (/ x y))
67.0ms
(* (* (cbrt z) (cbrt z)) (* (cbrt z) (/ x y)))

simplify2.6s

Counts
106 → 106
Iterations
IterNodes
done5003
34173
21111
1338
0127

prune503.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ (+ x 4.0) y) (* x (/ z y)))
0.0b
(/ (+ x 4.0) y)
5.2b
(* x (/ z y))

rewrite133.0ms

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-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-*l* associate-*r/ 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:
82.0ms
(- (/ (+ x 4.0) y) (* x (/ z y)))
25.0ms
(/ (+ x 4.0) y)
19.0ms
(* x (/ z y))

series134.0ms

Counts
3 → 9
Calls
3 calls:
56.0ms
(- (/ (+ x 4.0) y) (* x (/ z y)))
46.0ms
(/ (+ x 4.0) y)
32.0ms
(* x (/ z y))

simplify1.2s

Counts
126 → 126
Iterations
IterNodes
done5000
21388
1424
0165

prune546.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes161.0ms

Accuracy

73.4% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 1.5b

bsearch83.0ms

Steps
ItersRangePoint
7
1.3961012349491572e-162
2.089064597584604e-160
1.0296033599100243e-161
7
-20115983647.1179
-81829953.9245951
-16246640829.172636

simplify4.0ms

Iterations
IterNodes
done28
128
021

end0.0ms

sample1.3s

Algorithm
intervals
Results
899.0ms10040×body80valid