Details

Time bar (total: 15.0s)

sample20.0ms

Algorithm
intervals
Results
7.0ms334×body80valid

simplify131.0ms

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 1 expressions with local error:

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

rewrite54.0ms

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:
51.0ms
(* (* x y) (- 1.0 y))

series59.0ms

Counts
1 → 3
Calls
1 calls:
59.0ms
(* (* x y) (- 1.0 y))

simplify2.7s

Counts
49 → 49
Iterations
IterNodes
done5000
33291
2865
1335
0110

prune108.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
10×associate-*r*
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-in distribute-rgt-neg-in pow-prod-down prod-exp distribute-rgt-neg-out cbrt-unprod
2×expm1-log1p-u log1p-expm1-u
1×+-commutative neg-mul-1 sum-log fma-def flip3-+ associate-*l* unsub-neg *-commutative flip-+ distribute-lft-out
Counts
2 → 45
Calls
2 calls:
27.0ms
(+ (* (* x y) 1.0) (* (* x y) (- y)))
25.0ms
(* (* x y) (- y))

series192.0ms

Counts
2 → 6
Calls
2 calls:
133.0ms
(+ (* (* x y) 1.0) (* (* x y) (- y)))
59.0ms
(* (* x y) (- y))

simplify1.7s

Counts
51 → 51
Iterations
IterNodes
done5001
2985
1266
085

prune236.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (* (* x y) (- y))) (cbrt (* (* x y) (- y))))
18.2b
(cbrt (* (* x y) (- y)))
18.2b
(cbrt (* (* x y) (- y)))
18.2b
(cbrt (* (* x y) (- y)))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1
10×add-sqr-sqrt
9×pow1/3
8×*-un-lft-identity add-cube-cbrt
7×cbrt-prod
6×add-exp-log
4×expm1-log1p-u add-cbrt-cube swap-sqr associate-*r* associate-*l* log1p-expm1-u add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 66
Calls
4 calls:
21.0ms
(* (cbrt (* (* x y) (- y))) (cbrt (* (* x y) (- y))))
14.0ms
(cbrt (* (* x y) (- y)))
11.0ms
(cbrt (* (* x y) (- y)))
10.0ms
(cbrt (* (* x y) (- y)))

series645.0ms

Counts
4 → 12
Calls
4 calls:
188.0ms
(* (cbrt (* (* x y) (- y))) (cbrt (* (* x y) (- y))))
165.0ms
(cbrt (* (* x y) (- y)))
140.0ms
(cbrt (* (* x y) (- y)))
151.0ms
(cbrt (* (* x y) (- y)))

simplify3.5s

Counts
78 → 78
Iterations
IterNodes
done5000
44587
31488
2558
1231
093

prune515.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- y))
9.0b
(cbrt (* x y))
18.2b
(cbrt (* (* x y) (- y)))
18.2b
(cbrt (* (* x y) (- y)))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
13×cbrt-prod
7×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×expm1-log1p-u pow1 add-cbrt-cube pow1/3 add-exp-log log1p-expm1-u add-log-exp
3×distribute-lft-neg-in distribute-rgt-neg-in
1×neg-mul-1
Counts
4 → 53
Calls
4 calls:
3.0ms
(cbrt (- y))
5.0ms
(cbrt (* x y))
29.0ms
(cbrt (* (* x y) (- y)))
13.0ms
(cbrt (* (* x y) (- y)))

series638.0ms

Counts
4 → 12
Calls
4 calls:
295.0ms
(cbrt (- y))
95.0ms
(cbrt (* x y))
116.0ms
(cbrt (* (* x y) (- y)))
132.0ms
(cbrt (* (* x y) (- y)))

simplify2.8s

Counts
65 → 65
Iterations
IterNodes
done5000
43716
31062
2370
1185
096

prune473.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

regimes151.0ms

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

sample915.0ms

Algorithm
intervals
Results
321.0ms10727×body80valid