Details

Time bar (total: 17.8s)

sample68.0ms

Algorithm
intervals
Results
33.0ms495×body80valid

simplify3.5s

Counts
1 → 1
Iterations

Useful iterations: 4 (143.0ms)

IterNodesCost
01113
12113
25213
317113
434612
558612
669812
780512
8104212
9122512
10122812
done122812

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.3b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x x) (* (* y 4.0) (- (* z z) t)))
0.0b
(- (* z z) t)
6.0b
(* (* y 4.0) (- (* z z) t))

rewrite82.0ms

Algorithm
rewrite-expression-head
Rules
16×prod-diff
11×add-sqr-sqrt
10×distribute-rgt-in distribute-lft-in associate--r+
9×add-cube-cbrt *-un-lft-identity
8×pow1 add-exp-log add-cbrt-cube
7×add-log-exp
6×sub-neg
4×associate-*r*
3×expm1-log1p-u flip3-- pow-prod-down prod-exp flip-- cbrt-unprod log1p-expm1-u
2×fma-neg diff-log associate-*r/ difference-of-squares
1×associate-*l* *-commutative
Counts
3 → 78
Calls
3 calls:
15.0ms
(- (* x x) (* (* y 4.0) (- (* z z) t)))
14.0ms
(- (* z z) t)
49.0ms
(* (* y 4.0) (- (* z z) t))

series240.0ms

Counts
3 → 9
Calls
3 calls:
93.0ms
(- (* x x) (* (* y 4.0) (- (* z z) t)))
37.0ms
(- (* z z) t)
109.0ms
(* (* y 4.0) (- (* z z) t))

simplify1.5s

Counts
87 → 87
Iterations

Useful iterations: done (1.5s)

IterNodesCost
01481288
13901137
21271994
done5001966

prune311.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 2.4b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* 4.0 (* (pow z 2) y)) (- (* 4.0 (* t y))))
0.0b
(* 4.0 (* t y))
0.0b
(* 4.0 (* (pow z 2) y))
9.7b
(* (pow z 2) y)

rewrite141.0ms

Algorithm
rewrite-expression-head
Rules
24×add-exp-log
16×add-cbrt-cube
15×add-sqr-sqrt
14×associate-*l*
13×prod-exp
11×pow1
9×add-cube-cbrt *-un-lft-identity
8×add-log-exp
7×cbrt-unprod
5×associate-*r*
4×expm1-log1p-u unpow-prod-down pow-prod-down log1p-expm1-u unswap-sqr
3×*-commutative
2×pow-to-exp pow-exp sum-log unpow2 sqr-pow
1×+-commutative neg-sub0 associate-+r- fma-def distribute-rgt-neg-in flip3-+ unsub-neg neg-log flip-+ distribute-lft-out
Counts
4 → 89
Calls
4 calls:
42.0ms
(+ (* 4.0 (* (pow z 2) y)) (- (* 4.0 (* t y))))
39.0ms
(* 4.0 (* t y))
37.0ms
(* 4.0 (* (pow z 2) y))
18.0ms
(* (pow z 2) y)

series190.0ms

Counts
4 → 12
Calls
4 calls:
76.0ms
(+ (* 4.0 (* (pow z 2) y)) (- (* 4.0 (* t y))))
40.0ms
(* 4.0 (* t y))
36.0ms
(* 4.0 (* (pow z 2) y))
39.0ms
(* (pow z 2) y)

simplify2.2s

Counts
101 → 101
Iterations

Useful iterations: done (2.2s)

IterNodesCost
01311008
1337888
21291743
done5000732

prune378.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* 4.0 (* z (* z y))) (- (* 4.0 (* t y))))
0.0b
(* 4.0 (* t y))
0.0b
(* 4.0 (* z (* z y)))
0.1b
(* z (* z y))

rewrite187.0ms

Algorithm
rewrite-expression-head
Rules
23×pow1 add-exp-log add-cbrt-cube
12×pow-prod-down prod-exp cbrt-unprod
9×associate-*l*
8×add-log-exp
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×expm1-log1p-u log1p-expm1-u
3×associate-*r* *-commutative
2×sum-log
1×+-commutative neg-sub0 associate-+r- fma-def distribute-rgt-neg-in flip3-+ unsub-neg neg-log flip-+ distribute-lft-out
Counts
4 → 82
Calls
4 calls:
56.0ms
(+ (* 4.0 (* z (* z y))) (- (* 4.0 (* t y))))
33.0ms
(* 4.0 (* t y))
72.0ms
(* 4.0 (* z (* z y)))
24.0ms
(* z (* z y))

series177.0ms

Counts
4 → 12
Calls
4 calls:
73.0ms
(+ (* 4.0 (* z (* z y))) (- (* 4.0 (* t y))))
37.0ms
(* 4.0 (* t y))
33.0ms
(* 4.0 (* z (* z y)))
34.0ms
(* z (* z y))

simplify2.1s

Counts
94 → 94
Iterations

Useful iterations: done (2.1s)

IterNodesCost
0119959
1327870
21393704
done5000693

prune342.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.1b
(* z (* z y))
0.2b
(* (* (cbrt 4.0) (cbrt 4.0)) (* (cbrt 4.0) (* z (* z y))))
0.3b
(* (cbrt 4.0) (* z (* z y)))
1.0b
(* (cbrt 4.0) (cbrt 4.0))

rewrite349.0ms

Algorithm
rewrite-expression-head
Rules
57×pow1
52×add-exp-log
35×pow-prod-down
34×prod-exp cbrt-unprod
33×add-cbrt-cube
23×add-sqr-sqrt
19×cbrt-prod
16×associate-*l*
15×add-cube-cbrt *-un-lft-identity
9×associate-*r*
6×pow1/3 swap-sqr
4×expm1-log1p-u *-commutative log1p-expm1-u add-log-exp unswap-sqr
2×pow-sqr pow-prod-up
1×pow2 pow-plus
Counts
4 → 124
Calls
4 calls:
30.0ms
(* z (* z y))
224.0ms
(* (* (cbrt 4.0) (cbrt 4.0)) (* (cbrt 4.0) (* z (* z y))))
63.0ms
(* (cbrt 4.0) (* z (* z y)))
24.0ms
(* (cbrt 4.0) (cbrt 4.0))

series266.0ms

Counts
4 → 10
Calls
4 calls:
32.0ms
(* z (* z y))
119.0ms
(* (* (cbrt 4.0) (cbrt 4.0)) (* (cbrt 4.0) (* z (* z y))))
115.0ms
(* (cbrt 4.0) (* z (* z y)))
0.0ms
(* (cbrt 4.0) (cbrt 4.0))

simplify2.4s

Counts
134 → 134
Iterations

Useful iterations: done (2.4s)

IterNodesCost
01291529
12981446
212521078
done5000945

prune475.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes217.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify10.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01418
12418
23218
done3218

end0.0ms

sample2.6s

Algorithm
intervals
Results
1.5s15693×body80valid