Details

Time bar (total: 10.0s)

sample31.0ms

Algorithm
intervals
Results
12.0ms295×body80valid

simplify38.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07124
111124
224124
346124
468124
572124
done72124

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.6b

localize14.0ms

Local error

Found 1 expressions with local error:

2.5b
(* x (- 1.0 (* y z)))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt
3×pow1 *-un-lft-identity add-cbrt-cube associate-*r* associate-*l* add-exp-log add-cube-cbrt
2×distribute-rgt-in sub-neg distribute-lft-in associate-*r/
1×flip3-- pow-prod-down prod-exp *-commutative cbrt-unprod flip-- add-log-exp unswap-sqr
Counts
1 → 24
Calls
1 calls:
14.0ms
(* x (- 1.0 (* y z)))

series62.0ms

Counts
1 → 3
Calls
1 calls:
62.0ms
(* x (- 1.0 (* y z)))

simplify1.9s

Counts
27 → 27
Iterations

Useful iterations: 3 (613.0ms)

IterNodesCost
0515169
11324797
25354717
325774637
done50024637

prune164.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 2.5b

localize23.0ms

Local error

Found 2 expressions with local error:

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

rewrite35.0ms

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
1×distribute-lft-neg-in +-commutative neg-mul-1 sum-log distribute-rgt-neg-in flip3-+ unsub-neg pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ distribute-lft-out unswap-sqr
Counts
2 → 36
Calls
2 calls:
16.0ms
(+ (* x 1.0) (* x (- (* y z))))
18.0ms
(* x (- (* y z)))

series116.0ms

Counts
2 → 6
Calls
2 calls:
70.0ms
(+ (* x 1.0) (* x (- (* y z))))
46.0ms
(* x (- (* y z)))

simplify1.2s

Counts
42 → 42
Iterations

Useful iterations: done (1.2s)

IterNodesCost
0688113
11946909
211266708
done50026668

prune186.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

1.6b
(* x (* (cbrt (- (* y z))) (cbrt (- (* y z)))))
11.9b
(cbrt (- (* y z)))
11.9b
(cbrt (- (* y z)))
11.9b
(cbrt (- (* y z)))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-prod
9×add-sqr-sqrt pow1 add-exp-log
8×*-un-lft-identity add-cube-cbrt
7×add-cbrt-cube
4×add-log-exp
3×distribute-lft-neg-in neg-mul-1 distribute-rgt-neg-in pow1/3 associate-*l* pow-prod-down prod-exp cbrt-unprod
1×associate-*r* *-commutative unswap-sqr
Counts
4 → 61
Calls
4 calls:
34.0ms
(* x (* (cbrt (- (* y z))) (cbrt (- (* y z)))))
2.0ms
(cbrt (- (* y z)))
2.0ms
(cbrt (- (* y z)))
2.0ms
(cbrt (- (* y z)))

series603.0ms

Counts
4 → 12
Calls
4 calls:
198.0ms
(* x (* (cbrt (- (* y z))) (cbrt (- (* y z)))))
138.0ms
(cbrt (- (* y z)))
135.0ms
(cbrt (- (* y z)))
131.0ms
(cbrt (- (* y z)))

simplify1.4s

Counts
73 → 73
Iterations

Useful iterations: done (1.4s)

IterNodesCost
010022481
124121427
266021064
3265920064
done500118536

prune406.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize54.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
1.6b
(* x (* (* (cbrt (- y)) (cbrt z)) (cbrt (- (* y z)))))
11.9b
(cbrt (- (* y z)))
11.9b
(cbrt (- (* y z)))

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
15×cbrt-prod
13×pow1 add-exp-log
9×add-cbrt-cube
8×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
6×pow-prod-down prod-exp cbrt-unprod
4×add-log-exp
3×pow1/3 associate-*l*
2×distribute-lft-neg-in neg-mul-1 distribute-rgt-neg-in
1×associate-*r* *-commutative
Counts
4 → 60
Calls
4 calls:
1.0ms
(cbrt z)
71.0ms
(* x (* (* (cbrt (- y)) (cbrt z)) (cbrt (- (* y z)))))
2.0ms
(cbrt (- (* y z)))
2.0ms
(cbrt (- (* y z)))

series785.0ms

Counts
4 → 12
Calls
4 calls:
252.0ms
(cbrt z)
241.0ms
(* x (* (* (cbrt (- y)) (cbrt z)) (cbrt (- (* y z)))))
137.0ms
(cbrt (- (* y z)))
154.0ms
(cbrt (- (* y z)))

simplify1.3s

Counts
72 → 72
Iterations

Useful iterations: done (1.3s)

IterNodesCost
012625490
131723815
2109723413
done500122542

prune449.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes348.0ms

Accuracy

97.5% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 3.2b

bsearch1.0ms

simplify12.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
019626
136626
249626
353626
done53626

end0.0ms

sample750.0ms

Algorithm
intervals
Results
427.0ms9682×body80valid