Details

Time bar (total: 12.1s)

sample27.0ms

Algorithm
intervals
Results
12.0ms318×body80valid

simplify45.0ms

Counts
1 → 1
Iterations
IterNodes
done63
763
661
555
449
342
229
116
010

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize25.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ x 4.0) y)
0.0b
(- (/ (+ x 4.0) y) (* (/ x y) z))
3.8b
(* (/ x y) z)

rewrite110.0ms

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:
22.0ms
(/ (+ x 4.0) y)
72.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
11.0ms
(* (/ x y) z)

series157.0ms

Counts
3 → 9
Calls
3 calls:
44.0ms
(/ (+ x 4.0) y)
83.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
29.0ms
(* (/ x y) z)

simplify2.1s

Counts
126 → 126
Iterations
IterNodes
done5001
22049
1411
0165

prune733.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

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))
3.8b
(* (/ x y) z)

rewrite113.0ms

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:
14.0ms
(/ (+ x 4.0) y)
76.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
20.0ms
(* (/ x y) z)

series125.0ms

Counts
3 → 9
Calls
3 calls:
45.0ms
(/ (+ x 4.0) y)
48.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
32.0ms
(* (/ x y) z)

simplify1.6s

Counts
126 → 126
Iterations
IterNodes
done5001
22049
1411
0165

prune671.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize26.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ x 4.0) y)
0.0b
(- (/ (+ x 4.0) y) (/ (* z x) y))
4.2b
(/ (* z x) y)

rewrite107.0ms

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-cbrt-cube add-exp-log
6×associate-/r*
5×associate-/l* add-log-exp
3×expm1-log1p-u pow1 cbrt-undiv div-exp log1p-expm1-u
2×clear-num frac-2neg difference-of-squares associate-/l/
1×sub-neg flip3-+ flip3-- distribute-rgt-out-- diff-log prod-exp frac-sub cbrt-unprod flip-+ flip-- distribute-lft-out-- sub-div
Counts
3 → 206
Calls
3 calls:
15.0ms
(/ (+ x 4.0) y)
63.0ms
(- (/ (+ x 4.0) y) (/ (* z x) y))
19.0ms
(/ (* z x) y)

series131.0ms

Counts
3 → 9
Calls
3 calls:
49.0ms
(/ (+ x 4.0) y)
62.0ms
(- (/ (+ x 4.0) y) (/ (* z x) y))
20.0ms
(/ (* z x) y)

simplify1.5s

Counts
215 → 215
Iterations
IterNodes
done5000
22655
1619
0251

prune874.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize31.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ x 4.0) y)
0.0b
(- (/ (+ x 4.0) y) (* x (/ z y)))
6.9b
(* x (/ z y))

rewrite128.0ms

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:
29.0ms
(/ (+ x 4.0) y)
69.0ms
(- (/ (+ x 4.0) y) (* x (/ z y)))
22.0ms
(* x (/ z y))

series147.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(/ (+ x 4.0) y)
75.0ms
(- (/ (+ x 4.0) y) (* x (/ z y)))
36.0ms
(* x (/ z y))

simplify1.2s

Counts
126 → 126
Iterations
IterNodes
done5000
21771
1432
0165

prune588.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes307.0ms

Accuracy

-17.1% (1.7b remaining)

Error of 1.7b against oracle of 0.0b and baseline of 1.4b

bsearch76.0ms

Steps
ItersRangePoint
9
1.9486709938532326e+89
1.501117643472263e+94
1.96889776388982e+89

simplify6.0ms

Iterations
IterNodes
done29
229
127
020

end0.0ms

sample1.2s

Algorithm
intervals
Results
730.0ms10087×body80valid