Details

Time bar (total: 19.3s)

sample21.0ms

Algorithm
intervals
Results
11.0ms313×body80valid

simplify4.1s

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ (- y z) 1.0))
10.0b
(/ (* x (+ (- y z) 1.0)) z)

rewrite112.0ms

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:
72.0ms
(* x (+ (- y z) 1.0))
39.0ms
(/ (* x (+ (- y z) 1.0)) z)

series121.0ms

Counts
2 → 6
Calls
2 calls:
57.0ms
(* x (+ (- y z) 1.0))
64.0ms
(/ (* x (+ (- y z) 1.0)) z)

simplify3.0s

Counts
59 → 59
Iterations
IterNodes
done5000
34804
2975
1276
0100

prune287.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma (/ x z) 1.0 (* y (/ x z)))
4.1b
(* y (/ x z))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
13×associate-*r*
10×*-un-lft-identity times-frac add-cube-cbrt
7×add-cbrt-cube add-exp-log
4×pow1
3×associate-*l*
2×expm1-log1p-u prod-exp cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp unswap-sqr
1×cbrt-undiv div-exp pow-prod-down associate-*r/ *-commutative fma-udef div-inv
Counts
2 → 46
Calls
2 calls:
0.0ms
(fma (/ x z) 1.0 (* y (/ x z)))
15.0ms
(* y (/ x z))

series115.0ms

Counts
2 → 6
Calls
2 calls:
89.0ms
(fma (/ x z) 1.0 (* y (/ x z)))
26.0ms
(* y (/ x z))

simplify2.0s

Counts
52 → 52
Iterations
IterNodes
done5001
32341
2575
1197
088

prune342.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 2 expressions with local error:

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

rewrite190.0ms

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:
96.0ms
(/ (+ (- y z) 1.0) z)
91.0ms
(* x (/ (+ (- y z) 1.0) z))

series136.0ms

Counts
2 → 6
Calls
2 calls:
52.0ms
(/ (+ (- y z) 1.0) z)
84.0ms
(* x (/ (+ (- y z) 1.0) z))

simplify3.3s

Counts
88 → 88
Iterations
IterNodes
done5000
34257
2945
1289
0113

prune323.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b
(* x (- y z))
0.0b
(+ (* x (- y z)) (* x 1.0))
10.0b
(/ (+ (* x (- y z)) (* x 1.0)) z)

rewrite116.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
40×*-un-lft-identity
38×add-cube-cbrt
36×prod-diff
22×distribute-rgt-in associate-+l+ distribute-lft-in
12×times-frac
7×add-cbrt-cube add-exp-log
5×pow1 associate-*r* distribute-lft-out add-log-exp
4×sub-neg associate-/l*
3×expm1-log1p-u associate-/r* associate-*l* insert-posit16 log1p-expm1-u
2×flip3-+ associate-*r/ flip-+ associate-/l/
1×cbrt-undiv +-commutative clear-num sum-log fma-def frac-2neg flip3-- div-exp pow-prod-down prod-exp *-commutative cbrt-unprod div-inv flip-- distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 121
Calls
3 calls:
29.0ms
(* x (- y z))
24.0ms
(+ (* x (- y z)) (* x 1.0))
61.0ms
(/ (+ (* x (- y z)) (* x 1.0)) z)

series236.0ms

Counts
3 → 9
Calls
3 calls:
65.0ms
(* x (- y z))
72.0ms
(+ (* x (- y z)) (* x 1.0))
99.0ms
(/ (+ (* x (- y z)) (* x 1.0)) z)

simplify3.0s

Counts
130 → 130
Iterations
IterNodes
done5000
34518
21222
1457
0191

prune484.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes173.0ms

Accuracy

53.9% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 1.7b

bsearch168.0ms

Steps
ItersRangePoint
8
1.6178981226654433e-292
1.4653045584094638e-288
1.3597213738421031e-288
10
-7.519636037593529e-143
-6.305786741891852e-155
-4.6266794377330075e-145

simplify7.0ms

Iterations
IterNodes
done26
126
019

end0.0ms

sample962.0ms

Algorithm
intervals
Results
674.0ms10192×body80valid