Details

Time bar (total: 15.4s)

sample32.0ms

Algorithm
intervals
Results
14.0ms342×body80valid

simplify43.0ms

Counts
1 → 1
Iterations
IterNodes
done58
458
344
223
110
06

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
9×prod-diff
8×*-un-lft-identity add-cube-cbrt
5×distribute-rgt-in distribute-lft-in
4×pow1 add-cbrt-cube add-exp-log add-log-exp
3×sub-neg fma-neg associate-*r* associate-*l*
2×expm1-log1p-u flip3-- associate-*r/ log1p-expm1-u flip--
1×diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 52
Calls
2 calls:
10.0ms
(- 1.0 (* x y))
20.0ms
(* x (- 1.0 (* x y)))

series110.0ms

Counts
2 → 6
Calls
2 calls:
44.0ms
(- 1.0 (* x y))
65.0ms
(* x (- 1.0 (* x y)))

simplify3.6s

Counts
58 → 58
Iterations
IterNodes
done5000
32527
2567
1186
081

prune284.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 2 expressions with local error:

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

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt associate-*r*
4×pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt add-log-exp
3×associate-*l* distribute-rgt-neg-out
2×expm1-log1p-u log1p-expm1-u
1×distribute-lft-neg-in +-commutative neg-mul-1 sum-log fma-def distribute-rgt-neg-in flip3-+ unsub-neg pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ distribute-lft-out unswap-sqr
Counts
2 → 41
Calls
2 calls:
14.0ms
(+ (* x 1.0) (* x (- (* x y))))
19.0ms
(* x (- (* x y)))

series116.0ms

Counts
2 → 6
Calls
2 calls:
76.0ms
(+ (* x 1.0) (* x (- (* x y))))
39.0ms
(* x (- (* x y)))

simplify3.3s

Counts
47 → 47
Iterations
IterNodes
done5000
33871
2794
1204
070

prune249.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (- (* x y))) (cbrt (- (* x y))))
8.9b
(cbrt (- (* x y)))
8.9b
(cbrt (- (* x y)))
8.9b
(cbrt (- (* x y)))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
46×cbrt-prod
23×add-sqr-sqrt
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×pow1/3 swap-sqr associate-*r* associate-*l*
7×distribute-lft-neg-in neg-mul-1 distribute-rgt-neg-in
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 → 99
Calls
4 calls:
21.0ms
(* (cbrt (- (* x y))) (cbrt (- (* x y))))
2.0ms
(cbrt (- (* x y)))
2.0ms
(cbrt (- (* x y)))
2.0ms
(cbrt (- (* x y)))

series596.0ms

Counts
4 → 12
Calls
4 calls:
191.0ms
(* (cbrt (- (* x y))) (cbrt (- (* x y))))
148.0ms
(cbrt (- (* x y)))
112.0ms
(cbrt (- (* x y)))
145.0ms
(cbrt (- (* x y)))

simplify2.1s

Counts
111 → 111
Iterations
IterNodes
done5001
31734
2603
1255
0114

prune712.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize124.0ms

Local error

Found 4 expressions with local error:

8.9b
(cbrt (- (* x y)))
8.9b
(cbrt (- (* x y)))
8.9b
(cbrt (- (* x y)))
8.9b
(cbrt (- (* x y)))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
24×cbrt-prod
8×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×distribute-lft-neg-in expm1-log1p-u pow1 neg-mul-1 distribute-rgt-neg-in add-cbrt-cube pow1/3 add-exp-log log1p-expm1-u add-log-exp
Counts
4 → 64
Calls
4 calls:
3.0ms
(cbrt (- (* x y)))
3.0ms
(cbrt (- (* x y)))
3.0ms
(cbrt (- (* x y)))
4.0ms
(cbrt (- (* x y)))

series551.0ms

Counts
4 → 12
Calls
4 calls:
122.0ms
(cbrt (- (* x y)))
148.0ms
(cbrt (- (* x y)))
161.0ms
(cbrt (- (* x y)))
119.0ms
(cbrt (- (* x y)))

simplify1.8s

Counts
76 → 76
Iterations
IterNodes
done5003
52792
4945
3399
2173
198
052

prune600.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes147.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
done24
324
223
118
08

end0.0ms

sample776.0ms

Algorithm
intervals
Results
403.0ms10754×body80valid