Details

Time bar (total: 10.4s)

sample24.0ms

Algorithm
intervals
Results
9.0ms318×body80valid

simplify1.7s

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.9b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ (- y z) 1.0))
10.3b
(/ (* x (+ (- y z) 1.0)) z)

rewrite122.0ms

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:
75.0ms
(* x (+ (- y z) 1.0))
46.0ms
(/ (* x (+ (- y z) 1.0)) z)

series101.0ms

Counts
2 → 6
Calls
2 calls:
45.0ms
(* x (+ (- y z) 1.0))
55.0ms
(/ (* x (+ (- y z) 1.0)) z)

simplify1.3s

Counts
57 → 57
Iterations
IterNodes
done5000
21306
1280
098

prune278.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (fma (/ x z) 1.0 (* (/ x z) y)) x)
0.0b
(fma (/ x z) 1.0 (* (/ x z) y))
3.9b
(* (/ x z) y)

rewrite33.0ms

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* 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 → 73
Calls
3 calls:
7.0ms
(- (fma (/ x z) 1.0 (* (/ x z) y)) x)
0.0ms
(fma (/ x z) 1.0 (* (/ x z) y))
23.0ms
(* (/ x z) y)

series164.0ms

Counts
3 → 9
Calls
3 calls:
66.0ms
(- (fma (/ x z) 1.0 (* (/ x z) y)) x)
70.0ms
(fma (/ x z) 1.0 (* (/ x z) y))
28.0ms
(* (/ x z) y)

simplify1.0s

Counts
82 → 82
Iterations
IterNodes
done5000
21273
1304
0130

prune430.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ z (+ (- y z) 1.0))
2.5b
(/ x (/ z (+ (- y z) 1.0)))

rewrite77.0ms

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:
33.0ms
(/ z (+ (- y z) 1.0))
34.0ms
(/ x (/ z (+ (- y z) 1.0)))

series167.0ms

Counts
2 → 6
Calls
2 calls:
101.0ms
(/ z (+ (- y z) 1.0))
66.0ms
(/ x (/ z (+ (- y z) 1.0)))

simplify1.4s

Counts
149 → 149
Iterations
IterNodes
done5001
22529
1528
0204

prune617.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (fma (/ x z) 1.0 (* x (/ y z))) x)
0.0b
(fma (/ x z) 1.0 (* x (/ y z)))
5.6b
(* x (/ y z))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
20×*-un-lft-identity
18×add-cube-cbrt
13×associate-*r*
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-*l* 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-*r/ *-commutative div-inv flip-- distribute-lft-out-- difference-of-squares
Counts
3 → 73
Calls
3 calls:
5.0ms
(- (fma (/ x z) 1.0 (* x (/ y z))) x)
0.0ms
(fma (/ x z) 1.0 (* x (/ y z)))
17.0ms
(* x (/ y z))

series207.0ms

Counts
3 → 9
Calls
3 calls:
82.0ms
(- (fma (/ x z) 1.0 (* x (/ y z))) x)
98.0ms
(fma (/ x z) 1.0 (* x (/ y z)))
28.0ms
(* x (/ y z))

simplify805.0ms

Counts
82 → 82
Iterations
IterNodes
done5001
21098
1314
0132

prune377.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes268.0ms

Accuracy

63.7% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 1.7b

bsearch81.0ms

Steps
ItersRangePoint
5
4.6450931378792777e-132
1.721851027394304e-131
1.0769841672662288e-131
9
-3.985075016512312e-89
-2.2251587784790262e-94
-1.8639292682846923e-90

simplify4.0ms

Iterations
IterNodes
done29
129
021

end0.0ms

sample1.2s

Algorithm
intervals
Results
805.0ms10127×body80valid