Details

Time bar (total: 10.5s)

sample20.0ms

Algorithm
intervals
Results
9.0ms256×body80valid

simplify7.0ms

Counts
1 → 1
Iterations
IterNodes
done22
222
115
010

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.1b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 1.1283791670955126 (exp z))
0.0b
(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
1.0b
(- (* 1.1283791670955126 (exp z)) (* x y))
9.4b
(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite75.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt *-un-lft-identity
14×add-cube-cbrt
times-frac
add-cbrt-cube add-log-exp
add-exp-log
pow1
associate-/r* associate-*r* associate-*l* associate-/l*
flip3-- associate-/r/ flip--
cbrt-undiv +-commutative clear-num sum-log sub-neg frac-2neg flip3-+ diff-log div-exp pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ div-inv distribute-lft-out unswap-sqr
Counts
4 → 71
Calls
4 calls:
10.0ms
(* 1.1283791670955126 (exp z))
34.0ms
(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
8.0ms
(- (* 1.1283791670955126 (exp z)) (* x y))
22.0ms
(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

series269.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(* 1.1283791670955126 (exp z))
47.0ms
(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
84.0ms
(- (* 1.1283791670955126 (exp z)) (* x y))
117.0ms
(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify2.4s

Counts
83 → 83
Iterations
IterNodes
done5001
33277
21042
1343
0141

prune447.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 1 expressions with local error:

0.0b
(- x (/ 1 x))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt
*-un-lft-identity
add-log-exp difference-of-squares
times-frac distribute-lft-out--
pow1 sub-neg flip3-- add-cbrt-cube diff-log add-exp-log add-cube-cbrt div-inv flip--
Counts
1 → 17
Calls
1 calls:
20.0ms
(- x (/ 1 x))

series49.0ms

Counts
1 → 3
Calls
1 calls:
49.0ms
(- x (/ 1 x))

simplify1.8s

Counts
20 → 20
Iterations
IterNodes
done5003
41696
3489
2181
183
037

prune79.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (/ (sqrt y) (/ (- (* 1.1283791670955126 (exp z)) (* x y)) (sqrt y))))
1.0b
(- (* 1.1283791670955126 (exp z)) (* x y))
1.5b
(/ (sqrt y) (/ (- (* 1.1283791670955126 (exp z)) (* x y)) (sqrt y)))
2.6b
(/ (- (* 1.1283791670955126 (exp z)) (* x y)) (sqrt y))

rewrite172.0ms

Algorithm
rewrite-expression-head
Rules
276×times-frac
158×*-un-lft-identity
156×add-sqr-sqrt add-cube-cbrt
144×sqrt-prod
28×associate-/r*
11×add-cbrt-cube add-exp-log
div-inv associate-/l*
add-log-exp
pow1 cbrt-undiv div-exp
clear-num frac-2neg flip3-- flip-- associate-/l/
+-commutative sum-log sub-neg flip3-+ diff-log div-sub associate-/r/ flip-+ distribute-lft-out
Counts
4 → 241
Calls
4 calls:
98.0ms
(+ x (/ (sqrt y) (/ (- (* 1.1283791670955126 (exp z)) (* x y)) (sqrt y))))
8.0ms
(- (* 1.1283791670955126 (exp z)) (* x y))
28.0ms
(/ (sqrt y) (/ (- (* 1.1283791670955126 (exp z)) (* x y)) (sqrt y)))
25.0ms
(/ (- (* 1.1283791670955126 (exp z)) (* x y)) (sqrt y))

series409.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(+ x (/ (sqrt y) (/ (- (* 1.1283791670955126 (exp z)) (* x y)) (sqrt y))))
103.0ms
(- (* 1.1283791670955126 (exp z)) (* x y))
127.0ms
(/ (sqrt y) (/ (- (* 1.1283791670955126 (exp z)) (* x y)) (sqrt y)))
127.0ms
(/ (- (* 1.1283791670955126 (exp z)) (* x y)) (sqrt y))

simplify2.6s

Counts
253 → 253
Iterations
IterNodes
done5000
22968
1997
0362

prune976.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes347.0ms

Accuracy

82.5% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 3.0b

bsearch1.0ms

simplify6.0ms

Iterations
IterNodes
done27
127
019

end0.0ms

sample790.0ms

Algorithm
intervals
Results
545.0ms8000×body80valid