Details

Time bar (total: 12.7s)

sample50.0ms

Algorithm
intervals
Results
27.0ms308×body80valid

simplify50.0ms

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.5b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ x 4.0) y)
0.0b
(- (/ (+ x 4.0) y) (* (/ x y) z))
2.6b
(* (/ x y) z)

rewrite105.0ms

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:
21.0ms
(/ (+ x 4.0) y)
55.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
20.0ms
(* (/ x y) z)

series136.0ms

Counts
3 → 9
Calls
3 calls:
52.0ms
(/ (+ x 4.0) y)
54.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
29.0ms
(* (/ x y) z)

simplify1.6s

Counts
126 → 126
Iterations
IterNodes
done5000
21426
1411
0165

prune795.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize30.0ms

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)))
2.6b
(* z (/ x y))

rewrite117.0ms

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:
62.0ms
(+ (/ 4.0 y) (- (/ x y) (* z (/ x y))))
25.0ms
(- (/ x y) (* z (/ x y)))
23.0ms
(* z (/ x y))

series170.0ms

Counts
3 → 9
Calls
3 calls:
68.0ms
(+ (/ 4.0 y) (- (/ x y) (* z (/ x y))))
65.0ms
(- (/ x y) (* z (/ x y)))
38.0ms
(* z (/ x y))

simplify2.1s

Counts
135 → 135
Iterations
IterNodes
done5004
21796
1483
0182

prune932.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize53.0ms

Local error

Found 4 expressions with local error:

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

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
15×*-un-lft-identity add-cube-cbrt
13×associate-*r*
10×times-frac
9×cbrt-prod add-cbrt-cube add-exp-log
6×pow1
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 associate-*l*
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv div-exp pow-prod-down associate-*r/ *-commutative div-inv
Counts
4 → 73
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)
11.0ms
(* z (/ x y))

series846.0ms

Counts
4 → 12
Calls
4 calls:
246.0ms
(cbrt y)
272.0ms
(cbrt y)
296.0ms
(cbrt y)
32.0ms
(* z (/ x y))

simplify1.7s

Counts
85 → 85
Iterations
IterNodes
done5000
32873
2665
1216
093

prune572.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ x 4.0) y)
0.0b
(- (/ (+ x 4.0) y) (* x (/ z y)))
6.4b
(* x (/ z y))

rewrite95.0ms

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:
19.0ms
(/ (+ x 4.0) y)
61.0ms
(- (/ (+ x 4.0) y) (* x (/ z y)))
11.0ms
(* x (/ z y))

series132.0ms

Counts
3 → 9
Calls
3 calls:
40.0ms
(/ (+ x 4.0) y)
68.0ms
(- (/ (+ x 4.0) y) (* x (/ z y)))
24.0ms
(* x (/ z y))

simplify1.2s

Counts
126 → 126
Iterations
IterNodes
done5001
21392
1425
0165

prune582.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes180.0ms

Accuracy

-15.4% (2.5b remaining)

Error of 2.5b against oracle of 0.0b and baseline of 2.1b

bsearch59.0ms

Steps
ItersRangePoint
10
-2.4242649546581855e-269
-6.912828749566439e-280
-2.4585627221927936e-272

simplify4.0ms

Iterations
IterNodes
done28
128
023

end0.0ms

sample1.2s

Algorithm
intervals
Results
922.0ms10103×body80valid