Details

Time bar (total: 16.8s)

sample43.0ms

Algorithm
intervals
Results
29.0ms324×body80valid

simplify83.0ms

Counts
1 → 1
Iterations
IterNodes
858
758
655
552
446
339
229
116
010

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.9b

localize42.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ x 4) y)
0.0b
(- (/ (+ x 4) y) (* (/ x y) z))
2.8b
(* (/ x y) z)

rewrite129.0ms

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/ insert-posit16 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 → 120
Calls
3 calls:
32.0ms
(/ (+ x 4) y)
74.0ms
(- (/ (+ x 4) y) (* (/ x y) z))
20.0ms
(* (/ x y) z)

series140.0ms

Counts
3 → 9
Calls
3 calls:
43.0ms
(/ (+ x 4) y)
62.0ms
(- (/ (+ x 4) y) (* (/ x y) z))
35.0ms
(* (/ x y) z)

simplify4.4s

Counts
129 → 129
Iterations
IterNodes
34394
21304
1414
0168

prune1.4s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (/ x y) (* z (/ x y)))
2.8b
(* z (/ x y))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
29×add-sqr-sqrt times-frac
27×*-un-lft-identity
24×add-cube-cbrt
13×fma-neg associate-*r* prod-diff
7×add-cbrt-cube add-exp-log
4×pow1 add-log-exp
3×associate-*l* associate-*r/ div-inv
2×expm1-log1p-u distribute-rgt-out-- prod-exp cbrt-unprod insert-posit16 log1p-expm1-u unswap-sqr
1×cbrt-undiv sub-neg flip3-- diff-log div-exp pow-prod-down *-commutative frac-sub flip-- sub-div
Counts
2 → 80
Calls
2 calls:
30.0ms
(- (/ x y) (* z (/ x y)))
18.0ms
(* z (/ x y))

series69.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(- (/ x y) (* z (/ x y)))
22.0ms
(* z (/ x y))

simplify2.0s

Counts
86 → 86
Iterations
IterNodes
33804
21027
1313
0128

prune948.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ x 4) y)
0.0b
(- (/ (+ x 4) y) (* x (/ z y)))
6.1b
(* x (/ z y))

rewrite119.0ms

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/ insert-posit16 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 → 120
Calls
3 calls:
29.0ms
(/ (+ x 4) y)
77.0ms
(- (/ (+ x 4) y) (* x (/ z y)))
9.0ms
(* x (/ z y))

series121.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(/ (+ x 4) y)
58.0ms
(- (/ (+ x 4) y) (* x (/ z y)))
25.0ms
(* x (/ z y))

simplify2.4s

Counts
129 → 129
Iterations
IterNodes
34897
21290
1425
0168

prune1.4s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize25.0ms

Local error

Found 2 expressions with local error:

0.0b
(- x (* z x))
2.9b
(/ (- x (* z x)) y)

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
18×*-un-lft-identity
13×add-sqr-sqrt add-cube-cbrt
12×times-frac
5×distribute-rgt-out--
4×add-cbrt-cube add-exp-log associate-/l* add-log-exp
3×associate-/r* fma-neg prod-diff
2×expm1-log1p-u pow1 flip3-- insert-posit16 log1p-expm1-u flip-- associate-/l/
1×cbrt-undiv clear-num sub-neg frac-2neg diff-log div-sub div-exp div-inv
Counts
2 → 59
Calls
2 calls:
10.0ms
(- x (* z x))
23.0ms
(/ (- x (* z x)) y)

series113.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(- x (* z x))
66.0ms
(/ (- x (* z x)) y)

simplify711.0ms

Counts
65 → 65
Iterations
IterNodes
32021
2662
1227
099

prune729.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes137.0ms

Accuracy

-5.4% (1.8b remaining)

Error of 1.8b against oracle of 0.0b and baseline of 1.7b

bsearch67.0ms

Steps
ItersRangePoint
10
-1.1399582415865866e+37
-3.0218371281748637e+22
-3.644056109949103e+33

simplify4.0ms

Iterations
IterNodes
223
123
019

end0.0ms

sample1.6s

Algorithm
intervals
Results
1.4s10170×body80valid