Details

Time bar (total: 20.7s)

sample21.0ms

Algorithm
intervals
Results
10.0ms318×body80valid

simplify4.8s

Counts
1 → 1
Iterations
IterNodes
done5001
83211
71893
61154
5639
4260
3105
244
122
08

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.3b

localize23.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ (- y z) 1.0))
11.3b
(/ (* x (+ (- y z) 1.0)) z)

rewrite176.0ms

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:
122.0ms
(* x (+ (- y z) 1.0))
52.0ms
(/ (* x (+ (- y z) 1.0)) z)

series107.0ms

Counts
2 → 6
Calls
2 calls:
48.0ms
(* x (+ (- y z) 1.0))
59.0ms
(/ (* x (+ (- y z) 1.0)) z)

simplify2.9s

Counts
59 → 59
Iterations
IterNodes
done5000
34804
2975
1276
0100

prune275.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize30.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma (/ x z) 1.0 (* y (/ x z)))
0.0b
(- (fma (/ x z) 1.0 (* y (/ x z))) x)
3.4b
(* y (/ x z))

rewrite43.0ms

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* 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-*r/ *-commutative div-inv flip-- distribute-lft-out-- difference-of-squares
Counts
3 → 76
Calls
3 calls:
1.0ms
(fma (/ x z) 1.0 (* y (/ x z)))
13.0ms
(- (fma (/ x z) 1.0 (* y (/ x z))) x)
26.0ms
(* y (/ x z))

series177.0ms

Counts
3 → 9
Calls
3 calls:
70.0ms
(fma (/ x z) 1.0 (* y (/ x z)))
69.0ms
(- (fma (/ x z) 1.0 (* y (/ x z))) x)
38.0ms
(* y (/ x z))

simplify3.3s

Counts
85 → 85
Iterations
IterNodes
done5000
34932
21024
1323
0135

prune374.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ (- y z) 1.0) z)
2.8b
(* x (/ (+ (- y z) 1.0) z))

rewrite216.0ms

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:
111.0ms
(/ (+ (- y z) 1.0) z)
100.0ms
(* x (/ (+ (- y z) 1.0) z))

series119.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(/ (+ (- y z) 1.0) z)
82.0ms
(* x (/ (+ (- y z) 1.0) z))

simplify2.8s

Counts
88 → 88
Iterations
IterNodes
done5000
34257
2945
1289
0113

prune338.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt z)
0.5b
(cbrt z)
0.5b
(cbrt z)
4.7b
(* (/ x (* (cbrt z) (cbrt z))) (/ (+ (- y z) 1.0) (cbrt z)))

rewrite178.0ms

Algorithm
rewrite-expression-head
Rules
56×*-un-lft-identity
42×add-sqr-sqrt
40×times-frac
34×associate-*r*
26×cbrt-prod add-cube-cbrt
25×add-exp-log
18×add-cbrt-cube
12×distribute-lft-out
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp associate-*l*
6×pow1 distribute-lft-out-- unswap-sqr
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×pow1/3
2×div-inv
1×frac-times pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
4 → 116
Calls
4 calls:
2.0ms
(cbrt z)
2.0ms
(cbrt z)
2.0ms
(cbrt z)
166.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ (+ (- y z) 1.0) (cbrt z)))

series1.1s

Counts
4 → 12
Calls
4 calls:
313.0ms
(cbrt z)
281.0ms
(cbrt z)
325.0ms
(cbrt z)
137.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ (+ (- y z) 1.0) (cbrt z)))

simplify2.1s

Counts
128 → 128
Iterations
IterNodes
done5001
22102
1494
0154

prune584.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes214.0ms

Accuracy

85.2% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 1.4b

bsearch1.0ms

simplify4.0ms

Iterations
IterNodes
done27
127
020

end0.0ms

sample871.0ms

Algorithm
intervals
Results
619.0ms10009×body80valid