Details

Time bar (total: 15.4s)

sample25.0ms

Algorithm
intervals
Results
15.0ms330×body80valid

simplify4.8s

Counts
1 → 1
Iterations
IterNodes
done5000
114845
102608
91420
8806
7619
6465
5357
4161
362
226
111
07

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 1 expressions with local error:

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

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt *-un-lft-identity
18×prod-diff
15×add-cube-cbrt
11×distribute-rgt-in distribute-lft-in
associate-*r*
frac-times associate-*l*
pow1 flip3-+ flip3-- add-cbrt-cube add-exp-log flip-+ flip--
sub-neg associate-*l/ associate-*r/
expm1-log1p-u pow-prod-down prod-exp *-commutative cbrt-unprod insert-posit16 log1p-expm1-u distribute-lft-out distribute-lft-out-- add-log-exp difference-of-squares unswap-sqr
Counts
1 → 54
Calls
1 calls:
26.0ms
(* (+ x y) (- 1.0 z))

series40.0ms

Counts
1 → 3
Calls
1 calls:
40.0ms
(* (+ x y) (- 1.0 z))

simplify902.0ms

Counts
57 → 57
Iterations
IterNodes
done5001
21392
1422
0135

prune123.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (+ y x) (+ 1.0 z))
0.1b
(* (* (+ y x) (+ 1.0 z)) (- 1.0 z))
9.2b
(/ (* (* (+ y x) (+ 1.0 z)) (- 1.0 z)) (+ 1.0 z))

rewrite418.0ms

Algorithm
rewrite-expression-head
Rules
60×frac-times
43×flip3-+ flip-+
30×*-un-lft-identity associate-*l/
26×associate-/l/
24×add-sqr-sqrt
20×add-cube-cbrt
19×add-cbrt-cube add-exp-log
18×flip3-- prod-diff associate-*r/ flip--
12×distribute-rgt-in distribute-lft-in
10×pow1
associate-*r*
prod-exp cbrt-unprod
associate-*l*
associate-/r* times-frac pow-prod-down distribute-lft-out
expm1-log1p-u cbrt-undiv div-exp insert-posit16 log1p-expm1-u add-log-exp
sub-neg associate-/r/ *-commutative
clear-num frac-2neg div-inv associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 160
Calls
3 calls:
33.0ms
(* (+ y x) (+ 1.0 z))
336.0ms
(* (* (+ y x) (+ 1.0 z)) (- 1.0 z))
44.0ms
(/ (* (* (+ y x) (+ 1.0 z)) (- 1.0 z)) (+ 1.0 z))

series198.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(* (+ y x) (+ 1.0 z))
110.0ms
(* (* (+ y x) (+ 1.0 z)) (- 1.0 z))
52.0ms
(/ (* (* (+ y x) (+ 1.0 z)) (- 1.0 z)) (+ 1.0 z))

simplify1.1s

Counts
169 → 169
Iterations
IterNodes
done5000
1983
0275

prune783.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (+ x y) (sqrt (- 1.0 z)))
0.1b
(* (* (+ x y) (sqrt (- 1.0 z))) (sqrt (- 1.0 z)))

rewrite85.0ms

Algorithm
rewrite-expression-head
Rules
42×sqrt-div
32×frac-times
21×flip3-- flip--
16×associate-*r* associate-*l/
15×add-sqr-sqrt
13×*-un-lft-identity
12×flip3-+ flip-+
11×sqrt-prod
10×associate-*r/
pow1 add-cbrt-cube add-exp-log
add-cube-cbrt
associate-*l*
pow-prod-down prod-exp cbrt-unprod
expm1-log1p-u *-commutative insert-posit16 log1p-expm1-u distribute-lft-out-- add-log-exp difference-of-squares unswap-sqr
distribute-lft-out
Counts
2 → 88
Calls
2 calls:
25.0ms
(* (+ x y) (sqrt (- 1.0 z)))
59.0ms
(* (* (+ x y) (sqrt (- 1.0 z))) (sqrt (- 1.0 z)))

series133.0ms

Counts
2 → 6
Calls
2 calls:
93.0ms
(* (+ x y) (sqrt (- 1.0 z)))
39.0ms
(* (* (+ x y) (sqrt (- 1.0 z))) (sqrt (- 1.0 z)))

simplify1.3s

Counts
94 → 94
Iterations
IterNodes
done5001
21633
1461
0170

prune339.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ 1.0 z) (- 1.0 z))
0.0b
(* (* (+ y x) (- (* 1.0 1.0) (* z z))) (- 1.0 z))
1.0b
(* (+ y x) (- (* 1.0 1.0) (* z z)))
14.0b
(/ (* (* (+ y x) (- (* 1.0 1.0) (* z z))) (- 1.0 z)) (* (+ 1.0 z) (- 1.0 z)))

rewrite278.0ms

Algorithm
rewrite-expression-head
Rules
68×frac-times
45×flip3-- flip--
41×add-sqr-sqrt *-un-lft-identity
38×prod-diff
34×add-cbrt-cube associate-*l/ add-exp-log
33×add-cube-cbrt
27×flip3-+ flip-+
26×associate-/l/
25×distribute-rgt-in distribute-lft-in
22×associate-*r/
14×associate-*r* prod-exp cbrt-unprod
13×pow1
associate-*l*
associate-/r/
cbrt-undiv sub-neg div-exp
pow-prod-down
expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
*-commutative difference-of-squares
distribute-lft-out distribute-lft-out-- unswap-sqr
clear-num associate-/r* frac-2neg times-frac div-inv associate-/l*
Counts
4 → 224
Calls
4 calls:
37.0ms
(* (+ 1.0 z) (- 1.0 z))
115.0ms
(* (* (+ y x) (- (* 1.0 1.0) (* z z))) (- 1.0 z))
41.0ms
(* (+ y x) (- (* 1.0 1.0) (* z z)))
81.0ms
(/ (* (* (+ y x) (- (* 1.0 1.0) (* z z))) (- 1.0 z)) (* (+ 1.0 z) (- 1.0 z)))

series399.0ms

Counts
4 → 12
Calls
4 calls:
86.0ms
(* (+ 1.0 z) (- 1.0 z))
107.0ms
(* (* (+ y x) (- (* 1.0 1.0) (* z z))) (- 1.0 z))
96.0ms
(* (+ y x) (- (* 1.0 1.0) (* z z)))
110.0ms
(/ (* (* (+ y x) (- (* 1.0 1.0) (* z z))) (- 1.0 z)) (* (+ 1.0 z) (- 1.0 z)))

simplify1.8s

Counts
236 → 236
Iterations
IterNodes
done5002
11423
0368

prune1.3s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes306.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done9
19
07

end0.0ms

sample878.0ms

Algorithm
intervals
Results
607.0ms10099×body80valid
1.0msbody1280valid