Details

Time bar (total: 8.1s)

sample27.0ms

Algorithm
intervals
Results
17.0ms332×body80valid

simplify1.1s

Counts
1 → 1
Iterations
IterNodes
done2000
71893
61154
5639
4260
3105
244
122
08

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.7b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ (- y z) 1.0))
7.6b
(/ (* x (+ (- y z) 1.0)) z)

rewrite86.0ms

Algorithm
rewrite-expression-head
Rules
11×*-un-lft-identity
9×add-cbrt-cube add-exp-log
8×add-sqr-sqrt
6×add-cube-cbrt
5×associate-*r*
4×pow1 associate-*r/
3×associate-/r* times-frac associate-*l*
2×expm1-log1p-u cbrt-undiv flip3-+ div-exp prod-exp cbrt-unprod flip-+ insert-posit16 log1p-expm1-u distribute-lft-out add-log-exp associate-/l/
1×distribute-rgt-in clear-num frac-2neg distribute-lft-in pow-prod-down *-commutative div-inv associate-/l* distribute-lft-out-- unswap-sqr
Counts
2 → 53
Calls
2 calls:
54.0ms
(* x (+ (- y z) 1.0))
32.0ms
(/ (* x (+ (- y z) 1.0)) z)

series124.0ms

Counts
2 → 6
Calls
2 calls:
61.0ms
(* x (+ (- y z) 1.0))
63.0ms
(/ (* x (+ (- y z) 1.0)) z)

simplify503.0ms

Counts
59 → 59
Iterations
IterNodes
done2004
2975
1276
0100

prune211.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma (/ x z) 1.0 (* (/ x z) y))
0.0b
(- (fma (/ x z) 1.0 (* (/ x z) y)) x)
4.3b
(* (/ x z) y)

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
20×*-un-lft-identity
18×add-cube-cbrt
13×associate-*l*
10×times-frac
9×prod-diff
8×add-cbrt-cube add-exp-log
5×pow1 add-log-exp
3×expm1-log1p-u fma-neg associate-*r* insert-posit16 log1p-expm1-u
2×prod-exp cbrt-unprod fma-udef unswap-sqr
1×cbrt-undiv sub-neg flip3-- diff-log div-exp pow-prod-down associate-*l/ associate--l+ *-commutative div-inv flip-- distribute-lft-out-- difference-of-squares
Counts
3 → 76
Calls
3 calls:
0.0ms
(fma (/ x z) 1.0 (* (/ x z) y))
5.0ms
(- (fma (/ x z) 1.0 (* (/ x z) y)) x)
13.0ms
(* (/ x z) y)

series168.0ms

Counts
3 → 9
Calls
3 calls:
80.0ms
(fma (/ x z) 1.0 (* (/ x z) y))
61.0ms
(- (fma (/ x z) 1.0 (* (/ x z) y)) x)
27.0ms
(* (/ x z) y)

simplify626.0ms

Counts
85 → 85
Iterations
IterNodes
done2001
2883
1306
0133

prune363.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize22.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ z (+ (- y z) 1.0))
4.3b
(/ x (/ z (+ (- y z) 1.0)))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
150×*-un-lft-identity
138×times-frac
70×add-sqr-sqrt add-cube-cbrt
32×distribute-lft-out
26×associate-/r*
16×distribute-lft-out--
11×associate-/r/
9×add-cbrt-cube add-exp-log
6×div-inv associate-/l*
5×flip3-+ flip-+
4×cbrt-undiv div-exp
2×expm1-log1p-u pow1 clear-num frac-2neg insert-posit16 log1p-expm1-u add-log-exp
Counts
2 → 145
Calls
2 calls:
24.0ms
(/ z (+ (- y z) 1.0))
30.0ms
(/ x (/ z (+ (- y z) 1.0)))

series159.0ms

Counts
2 → 6
Calls
2 calls:
78.0ms
(/ z (+ (- y z) 1.0))
81.0ms
(/ x (/ z (+ (- y z) 1.0)))

simplify1.2s

Counts
151 → 151
Iterations
IterNodes
done2000
21797
1520
0206

prune534.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ (- y z) 1.0) z)
4.6b
(* x (/ (+ (- y z) 1.0) z))

rewrite121.0ms

Algorithm
rewrite-expression-head
Rules
57×*-un-lft-identity
31×times-frac
27×add-sqr-sqrt
22×add-cube-cbrt
19×associate-*r*
14×distribute-lft-out
9×add-cbrt-cube add-exp-log
7×distribute-lft-out--
5×associate-/l*
4×pow1
3×associate-/r* associate-*l*
2×expm1-log1p-u cbrt-undiv div-exp prod-exp cbrt-unprod insert-posit16 log1p-expm1-u div-inv add-log-exp unswap-sqr associate-/l/
1×clear-num frac-2neg flip3-+ div-sub pow-prod-down associate-*r/ *-commutative associate-+l- flip-+
Counts
2 → 82
Calls
2 calls:
59.0ms
(/ (+ (- y z) 1.0) z)
59.0ms
(* x (/ (+ (- y z) 1.0) z))

series107.0ms

Counts
2 → 6
Calls
2 calls:
43.0ms
(/ (+ (- y z) 1.0) z)
64.0ms
(* x (/ (+ (- y z) 1.0) z))

simplify787.0ms

Counts
88 → 88
Iterations
IterNodes
done2000
2945
1289
0113

prune342.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes234.0ms

Accuracy

87.7% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 1.7b

bsearch135.0ms

Steps
ItersRangePoint
8
2092925529.1120393
6358870542563.699
2472351452.7513905
8
-2.6173831390621155e-79
-8.815171774111357e-82
-3.632921685862537e-81

simplify5.0ms

Iterations
IterNodes
done21
121
016

end0.0ms

sample1.1s

Algorithm
intervals
Results
817.0ms10102×body80valid