Details

Time bar (total: 12.0s)

sample17.0ms

Algorithm
intervals
Results
8.0ms333×body80valid

simplify83.0ms

Counts
1 → 1
Iterations
IterNodes
done115
6115
5111
498
365
231
112
06

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 1 expressions with local error:

0.1b
(* (* x y) (- 1.0 y))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
18×prod-diff
16×add-sqr-sqrt *-un-lft-identity
14×add-cube-cbrt
11×distribute-rgt-in distribute-lft-in
pow1 add-cbrt-cube add-exp-log
associate-*r*
pow-prod-down prod-exp cbrt-unprod
sub-neg associate-*r/
expm1-log1p-u flip3-- associate-*l* *-commutative insert-posit16 log1p-expm1-u flip-- distribute-lft-out-- add-log-exp difference-of-squares
Counts
1 → 47
Calls
1 calls:
45.0ms
(* (* x y) (- 1.0 y))

series58.0ms

Counts
1 → 3
Calls
1 calls:
58.0ms
(* (* x y) (- 1.0 y))

simplify2.3s

Counts
50 → 50
Iterations
IterNodes
done5000
33492
2862
1336
0111

prune89.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(* y (- 1.0 y))
5.9b
(* x (* y (- 1.0 y)))

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
55×distribute-rgt-in distribute-lft-in
54×prod-diff
45×add-sqr-sqrt
43×*-un-lft-identity
41×add-cube-cbrt
pow1 add-cbrt-cube add-exp-log
sub-neg associate-*r* associate-*l* associate-*r/
pow-prod-down prod-exp cbrt-unprod
expm1-log1p-u flip3-- *-commutative insert-posit16 log1p-expm1-u flip-- add-log-exp
distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 114
Calls
2 calls:
27.0ms
(* y (- 1.0 y))
35.0ms
(* x (* y (- 1.0 y)))

series112.0ms

Counts
2 → 6
Calls
2 calls:
55.0ms
(* y (- 1.0 y))
57.0ms
(* x (* y (- 1.0 y)))

simplify1.8s

Counts
120 → 120
Iterations
IterNodes
done5000
2991
1458
0184

prune201.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* y y) (* 1.0 y))
0.1b
(* (* y y) y)
2.4b
(* (- (* (* 1.0 1.0) 1.0) (* (* y y) y)) (* x y))
9.6b
(/ (* (- (* (* 1.0 1.0) 1.0) (* (* y y) y)) (* x y)) (+ (* 1.0 1.0) (+ (* y y) (* 1.0 y))))

rewrite330.0ms

Algorithm
rewrite-expression-head
Rules
28×pow1
23×add-cbrt-cube add-exp-log
add-sqr-sqrt prod-exp cbrt-unprod
*-un-lft-identity add-cube-cbrt
pow-plus pow-prod-down pow-prod-up add-log-exp
associate-*l*
expm1-log1p-u associate-*r* associate-*l/ insert-posit16 log1p-expm1-u
cbrt-undiv associate-/r* times-frac div-exp pow3
pow2 flip3-+ flip3-- associate-/r/ pow-sqr *-commutative flip-+ flip-- associate-/l/
difference-cubes +-commutative clear-num sum-log fma-def frac-2neg distribute-rgt-out div-inv associate-/l* unswap-sqr
Counts
4 → 101
Calls
4 calls:
9.0ms
(+ (* y y) (* 1.0 y))
20.0ms
(* (* y y) y)
150.0ms
(* (- (* (* 1.0 1.0) 1.0) (* (* y y) y)) (* x y))
148.0ms
(/ (* (- (* (* 1.0 1.0) 1.0) (* (* y y) y)) (* x y)) (+ (* 1.0 1.0) (+ (* y y) (* 1.0 y))))

series405.0ms

Counts
4 → 12
Calls
4 calls:
97.0ms
(+ (* y y) (* 1.0 y))
47.0ms
(* (* y y) y)
69.0ms
(* (- (* (* 1.0 1.0) 1.0) (* (* y y) y)) (* x y))
193.0ms
(/ (* (- (* (* 1.0 1.0) 1.0) (* (* y y) y)) (* x y)) (+ (* 1.0 1.0) (+ (* y y) (* 1.0 y))))

simplify2.1s

Counts
113 → 113
Iterations
IterNodes
done5002
22160
1549
0170

prune444.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- 1.0 y))
0.0b
(* y (sqrt (- 1.0 y)))
0.1b
(* (* y (sqrt (- 1.0 y))) (sqrt (- 1.0 y)))
3.4b
(* x (* (* y (sqrt (- 1.0 y))) (sqrt (- 1.0 y))))

rewrite275.0ms

Algorithm
rewrite-expression-head
Rules
28×sqrt-div
26×associate-*r/
22×add-sqr-sqrt
21×pow1
20×add-cbrt-cube add-exp-log
17×*-un-lft-identity associate-*r*
16×sqrt-prod
14×flip3-- flip--
11×add-cube-cbrt
10×pow-prod-down prod-exp cbrt-unprod
frac-times
associate-*l*
expm1-log1p-u associate-*l/ insert-posit16 log1p-expm1-u add-log-exp
*-commutative distribute-lft-out-- difference-of-squares
unswap-sqr
rem-sqrt-square sqrt-pow1 pow1/2
Counts
4 → 115
Calls
4 calls:
10.0ms
(sqrt (- 1.0 y))
32.0ms
(* y (sqrt (- 1.0 y)))
58.0ms
(* (* y (sqrt (- 1.0 y))) (sqrt (- 1.0 y)))
172.0ms
(* x (* (* y (sqrt (- 1.0 y))) (sqrt (- 1.0 y))))

series258.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(sqrt (- 1.0 y))
102.0ms
(* y (sqrt (- 1.0 y)))
56.0ms
(* (* y (sqrt (- 1.0 y))) (sqrt (- 1.0 y)))
53.0ms
(* x (* (* y (sqrt (- 1.0 y))) (sqrt (- 1.0 y))))

simplify1.7s

Counts
127 → 127
Iterations
IterNodes
done5007
21519
1448
0172

prune429.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0.0b

regimes143.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done8
18
06

end0.0ms

sample1.1s

Algorithm
intervals
Results
451.0ms10642×body80valid