Details

Time bar (total: 12.7s)

sample32.0ms

Algorithm
intervals
Results
14.0ms341×body80valid

simplify140.0ms

Counts
1 → 1
Iterations
IterNodes
done133
6133
5129
4118
371
232
112
06

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 1 expressions with local error:

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

rewrite43.0ms

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
6×pow1 add-cbrt-cube add-exp-log
5×associate-*r*
3×pow-prod-down prod-exp cbrt-unprod
2×sub-neg associate-*r/
1×expm1-log1p-u flip3-- associate-*l* *-commutative log1p-expm1-u flip-- distribute-lft-out-- add-log-exp difference-of-squares
Counts
1 → 46
Calls
1 calls:
40.0ms
(* (* x y) (- 1.0 y))

series73.0ms

Counts
1 → 3
Calls
1 calls:
73.0ms
(* (* x y) (- 1.0 y))

simplify1.7s

Counts
49 → 49
Iterations
IterNodes
done5001
22291
1336
0110

prune191.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* 1.0 (* x y)) (* (- y) (* x y)))
0.2b
(* (- y) (* x y))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
10×associate-*l*
7×pow1 add-cbrt-cube add-exp-log
5×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×add-log-exp
3×distribute-lft-neg-out distribute-lft-neg-in distribute-rgt-neg-in pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u log1p-expm1-u
1×+-commutative neg-mul-1 sum-log fma-def flip3-+ distribute-rgt-out associate-*r* unsub-neg *-commutative flip-+
Counts
2 → 45
Calls
2 calls:
13.0ms
(+ (* 1.0 (* x y)) (* (- y) (* x y)))
19.0ms
(* (- y) (* x y))

series129.0ms

Counts
2 → 6
Calls
2 calls:
107.0ms
(+ (* 1.0 (* x y)) (* (- y) (* x y)))
22.0ms
(* (- y) (* x y))

simplify1.1s

Counts
51 → 51
Iterations
IterNodes
done5001
21216
1228
077

prune227.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (- y)) (cbrt (- y)))
0.6b
(cbrt (- y))
0.6b
(cbrt (- y))
0.6b
(cbrt (- y))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
78×cbrt-prod
37×add-sqr-sqrt
33×*-un-lft-identity
29×add-cube-cbrt
23×distribute-rgt-neg-in
21×distribute-lft-neg-in
15×swap-sqr
13×associate-*r* associate-*l*
11×pow1
9×pow1/3
7×neg-mul-1
6×add-exp-log
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 125
Calls
4 calls:
28.0ms
(* (cbrt (- y)) (cbrt (- y)))
3.0ms
(cbrt (- y))
3.0ms
(cbrt (- y))
3.0ms
(cbrt (- y))

series1.0s

Counts
4 → 12
Calls
4 calls:
242.0ms
(* (cbrt (- y)) (cbrt (- y)))
265.0ms
(cbrt (- y))
252.0ms
(cbrt (- y))
286.0ms
(cbrt (- y))

simplify4.0s

Counts
137 → 137
Iterations
IterNodes
done5000
34511
2750
1185
095

prune915.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* x (* y 1.0)) (* x (* y y)))
11.5b
(* x (* y y))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-cbrt-cube add-exp-log
4×add-sqr-sqrt add-log-exp
3×*-un-lft-identity associate-*l* pow-prod-down prod-exp add-cube-cbrt cbrt-unprod
2×expm1-log1p-u log1p-expm1-u
1×sub-neg flip3-- fma-neg diff-log associate-*r* prod-diff *-commutative flip-- distribute-lft-out-- unswap-sqr
Counts
2 → 38
Calls
2 calls:
21.0ms
(- (* x (* y 1.0)) (* x (* y y)))
13.0ms
(* x (* y y))

series142.0ms

Counts
2 → 6
Calls
2 calls:
106.0ms
(- (* x (* y 1.0)) (* x (* y y)))
36.0ms
(* x (* y y))

simplify1.4s

Counts
44 → 44
Iterations
IterNodes
done5000
21318
1221
070

prune170.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes242.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations
IterNodes
done24
324
218
114
08

end0.0ms

sample999.0ms

Algorithm
intervals
Results
700.0ms10659×body80valid