Details

Time bar (total: 15.9s)

sample20.0ms

Algorithm
intervals
Results
10.0ms330×body80valid

simplify4.5s

Counts
1 → 1
Iterations
IterNodes
done5000
102874
91352
8795
7629
6483
5354
4161
362
226
111
07

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 1 expressions with local error:

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

rewrite28.0ms

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
5×associate-*r*
4×frac-times associate-*l*
3×pow1 flip3-+ flip3-- add-cbrt-cube add-exp-log flip-+ flip--
2×sub-neg associate-*l/ associate-*r/
1×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:
27.0ms
(* (+ x y) (- 1.0 z))

series40.0ms

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

simplify1.0s

Counts
57 → 57
Iterations
IterNodes
done5001
21336
1422
0135

prune190.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 3 expressions with local error:

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

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
13×*-un-lft-identity
10×add-cbrt-cube add-exp-log
9×add-sqr-sqrt
8×frac-times associate-/l/
7×flip3-+ flip3-- add-cube-cbrt flip-+ flip--
5×pow1 add-log-exp
4×associate-/r* times-frac associate-*r* associate-*l* associate-*l/ associate-*r/
3×distribute-rgt-in expm1-log1p-u sub-neg distribute-lft-in prod-diff insert-posit16 log1p-expm1-u distribute-lft-out
2×cbrt-undiv div-exp prod-exp associate-/r/ cbrt-unprod difference-of-squares
1×clear-num frac-2neg fma-neg diff-log pow-prod-down *-commutative div-inv associate-/l* unswap-sqr
Counts
3 → 91
Calls
3 calls:
8.0ms
(- (* 1.0 1.0) (* z z))
33.0ms
(* (+ x y) (- (* 1.0 1.0) (* z z)))
39.0ms
(/ (* (+ x y) (- (* 1.0 1.0) (* z z))) (+ 1.0 z))

series220.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(- (* 1.0 1.0) (* z z))
67.0ms
(* (+ x y) (- (* 1.0 1.0) (* z z)))
107.0ms
(/ (* (+ x y) (- (* 1.0 1.0) (* z z))) (+ 1.0 z))

simplify2.1s

Counts
100 → 100
Iterations
IterNodes
done5004
22284
1508
0158

prune424.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize28.0ms

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)))

rewrite118.0ms

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/
9×pow1 add-cbrt-cube add-exp-log
7×add-cube-cbrt
5×associate-*l*
4×pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u *-commutative insert-posit16 log1p-expm1-u distribute-lft-out-- add-log-exp difference-of-squares unswap-sqr
1×distribute-lft-out
Counts
2 → 88
Calls
2 calls:
24.0ms
(* (+ x y) (sqrt (- 1.0 z)))
92.0ms
(* (* (+ x y) (sqrt (- 1.0 z))) (sqrt (- 1.0 z)))

series142.0ms

Counts
2 → 6
Calls
2 calls:
105.0ms
(* (+ x y) (sqrt (- 1.0 z)))
37.0ms
(* (* (+ x y) (sqrt (- 1.0 z))) (sqrt (- 1.0 z)))

simplify1.8s

Counts
94 → 94
Iterations
IterNodes
done5000
21545
1461
0170

prune396.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* 1.0 (* 1.0 1.0)) (* (* z z) z))
0.1b
(* (* z z) z)
1.4b
(* (- (* 1.0 (* 1.0 1.0)) (* (* z z) z)) (+ x y))
14.0b
(/ (* (- (* 1.0 (* 1.0 1.0)) (* (* z z) z)) (+ x y)) (fma z (+ 1.0 z) (* 1.0 1.0)))

rewrite209.0ms

Algorithm
rewrite-expression-head
Rules
25×pow1
16×add-cbrt-cube add-exp-log
12×add-sqr-sqrt
11×*-un-lft-identity
9×add-cube-cbrt
8×frac-times associate-/l/
7×flip3-- associate-*r* flip--
6×flip3-+ pow-plus pow-prod-up flip-+ add-log-exp
5×associate-*l* prod-exp cbrt-unprod
4×expm1-log1p-u pow-prod-down associate-*l/ associate-*r/ insert-posit16 log1p-expm1-u
3×associate-/r* times-frac pow3
2×pow2 difference-cubes cbrt-undiv cube-unmult div-exp pow-sqr *-commutative unswap-sqr
1×distribute-rgt-in clear-num sub-neg frac-2neg distribute-lft-in fma-neg diff-log prod-diff div-inv distribute-lft-out associate-/l*
Counts
4 → 114
Calls
4 calls:
26.0ms
(- (* 1.0 (* 1.0 1.0)) (* (* z z) z))
15.0ms
(* (* z z) z)
110.0ms
(* (- (* 1.0 (* 1.0 1.0)) (* (* z z) z)) (+ x y))
54.0ms
(/ (* (- (* 1.0 (* 1.0 1.0)) (* (* z z) z)) (+ x y)) (fma z (+ 1.0 z) (* 1.0 1.0)))

series357.0ms

Counts
4 → 12
Calls
4 calls:
72.0ms
(- (* 1.0 (* 1.0 1.0)) (* (* z z) z))
61.0ms
(* (* z z) z)
99.0ms
(* (- (* 1.0 (* 1.0 1.0)) (* (* z z) z)) (+ x y))
124.0ms
(/ (* (- (* 1.0 (* 1.0 1.0)) (* (* z z) z)) (+ x y)) (fma z (+ 1.0 z) (* 1.0 1.0)))

simplify2.5s

Counts
126 → 126
Iterations
IterNodes
done5006
22554
1562
0186

prune656.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes267.0ms

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

sample675.0ms

Algorithm
intervals
Results
425.0ms10099×body80valid
0.0ms2×body1280valid