Details

Time bar (total: 12.9s)

sample34.0ms

Algorithm
intervals
Results
12.0ms327×body80valid

simplify1.6s

Counts
1 → 1
Iterations
IterNodes
done5001
51516
4404
3119
246
122
08

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.6b

localize22.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ (- y z) 1.0))
6.2b
(/ (* x (+ (- y z) 1.0)) z)

rewrite155.0ms

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-+ 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 → 51
Calls
2 calls:
110.0ms
(* x (+ (- y z) 1.0))
42.0ms
(/ (* x (+ (- y z) 1.0)) z)

series102.0ms

Counts
2 → 6
Calls
2 calls:
41.0ms
(* x (+ (- y z) 1.0))
61.0ms
(/ (* x (+ (- y z) 1.0)) z)

simplify1.3s

Counts
57 → 57
Iterations
IterNodes
done5000
21306
1280
098

prune317.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (fma (/ x z) 1.0 (* (/ x z) y)) x)
2.5b
(* (/ x z) y)

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
19×*-un-lft-identity
17×add-cube-cbrt
13×associate-*l*
10×times-frac
9×prod-diff
7×add-cbrt-cube add-exp-log
4×pow1 add-log-exp
3×fma-neg associate-*r*
2×expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u unswap-sqr
1×cbrt-undiv sub-neg flip3-- diff-log div-exp pow-prod-down associate-*l/ associate--l+ *-commutative fma-udef div-inv flip-- distribute-lft-out-- difference-of-squares
Counts
2 → 63
Calls
2 calls:
5.0ms
(- (fma (/ x z) 1.0 (* (/ x z) y)) x)
20.0ms
(* (/ x z) y)

series76.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(- (fma (/ x z) 1.0 (* (/ x z) y)) x)
29.0ms
(* (/ x z) y)

simplify955.0ms

Counts
69 → 69
Iterations
IterNodes
done5001
21259
1298
0125

prune301.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize20.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ z (+ (- y z) 1.0))
3.3b
(/ x (/ z (+ (- y z) 1.0)))

rewrite70.0ms

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 log1p-expm1-u add-log-exp
Counts
2 → 143
Calls
2 calls:
30.0ms
(/ z (+ (- y z) 1.0))
34.0ms
(/ x (/ z (+ (- y z) 1.0)))

series112.0ms

Counts
2 → 6
Calls
2 calls:
61.0ms
(/ z (+ (- y z) 1.0))
51.0ms
(/ x (/ z (+ (- y z) 1.0)))

simplify1.2s

Counts
149 → 149
Iterations
IterNodes
done5001
22529
1528
0204

prune696.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ z (+ (- y z) 1.0))
0.2b
(/ 1 (/ (/ z (+ (- y z) 1.0)) x))
3.4b
(/ (/ z (+ (- y z) 1.0)) x)

rewrite184.0ms

Algorithm
rewrite-expression-head
Rules
771×times-frac
595×*-un-lft-identity
335×add-sqr-sqrt add-cube-cbrt
104×distribute-lft-out
75×associate-/r*
52×distribute-lft-out--
35×associate-/r/
31×add-exp-log
27×associate-/l*
23×div-inv
19×add-cbrt-cube div-exp
17×flip3-+ flip-+
10×cbrt-undiv
4×pow1
3×expm1-log1p-u rec-exp clear-num frac-2neg 1-exp log1p-expm1-u add-log-exp
1×pow-flip inv-pow associate-/l/
Counts
3 → 441
Calls
3 calls:
30.0ms
(/ z (+ (- y z) 1.0))
50.0ms
(/ 1 (/ (/ z (+ (- y z) 1.0)) x))
66.0ms
(/ (/ z (+ (- y z) 1.0)) x)

series310.0ms

Counts
3 → 9
Calls
3 calls:
99.0ms
(/ z (+ (- y z) 1.0))
80.0ms
(/ 1 (/ (/ z (+ (- y z) 1.0)) x))
132.0ms
(/ (/ z (+ (- y z) 1.0)) x)

simplify1.5s

Counts
450 → 450
Iterations
IterNodes
done5000
11483
0520

prune2.1s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes329.0ms

Accuracy

0% (1.6b remaining)

Error of 1.6b against oracle of 0.0b and baseline of 1.6b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done9
19
08

end0.0ms

sample1.5s

Algorithm
intervals
Results
961.0ms10107×body80valid