Details

Time bar (total: 10.8s)

sample18.0ms

Algorithm
intervals
Results
8.0ms310×body80valid

simplify32.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
077
1117
2247
3457
4637
5717
done717

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.8b

localize5.0ms

Local error

Found 1 expressions with local error:

4.6b
(* x (- 1.0 (* y z)))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt
pow1 add-exp-log add-cube-cbrt *-un-lft-identity associate-*r* associate-*l* add-cbrt-cube
distribute-rgt-in sub-neg distribute-lft-in associate-*r/
flip3-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod add-log-exp unswap-sqr
Counts
1 → 24
Calls
1 calls:
9.0ms
(* x (- 1.0 (* y z)))

series47.0ms

Counts
1 → 3
Calls
1 calls:
47.0ms
(* x (- 1.0 (* y z)))

simplify2.1s

Counts
27 → 27
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
051267
1119264
2329232
31082232
43832232
done5001232

prune58.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 4.7b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* 1.0 x) (* x (- (* y z))))
7.3b
(* x (- (* y z)))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt associate-*r*
pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
associate-*l* distribute-rgt-neg-out
+-commutative distribute-lft-neg-in neg-mul-1 distribute-rgt-neg-in flip3-+ unsub-neg pow-prod-down prod-exp sum-log *-commutative cbrt-unprod flip-+ unswap-sqr
Counts
2 → 35
Calls
2 calls:
3.0ms
(+ (* 1.0 x) (* x (- (* y z))))
4.0ms
(* x (- (* y z)))

series85.0ms

Counts
2 → 6
Calls
2 calls:
59.0ms
(+ (* 1.0 x) (* x (- (* y z))))
26.0ms
(* x (- (* y z)))

simplify3.3s

Counts
41 → 41
Iterations

Useful iterations: 3 (1.4s)

IterNodesCost
066413
1176373
2695315
34377310
done5000310

prune83.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* 1.0 x) (* (- (* x y)) z))
5.7b
(* (- (* x y)) z)

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt associate-*l*
pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
distribute-lft-neg-out associate-*r*
+-commutative distribute-lft-neg-in neg-mul-1 distribute-rgt-neg-in flip3-+ unsub-neg pow-prod-down prod-exp sum-log *-commutative cbrt-unprod flip-+ unswap-sqr
Counts
2 → 35
Calls
2 calls:
2.0ms
(+ (* 1.0 x) (* (- (* x y)) z))
4.0ms
(* (- (* x y)) z)

series84.0ms

Counts
2 → 6
Calls
2 calls:
58.0ms
(+ (* 1.0 x) (* (- (* x y)) z))
25.0ms
(* (- (* x y)) z)

simplify908.0ms

Counts
41 → 41
Iterations

Useful iterations: done (907.0ms)

IterNodesCost
065415
1179375
2839322
done5000320

prune97.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

1.4b
(* (* (cbrt (- (* x y))) (cbrt (- (* x y)))) (* (cbrt (- (* x y))) z))
11.3b
(cbrt (- (* x y)))
11.3b
(cbrt (- (* x y)))
11.3b
(cbrt (- (* x y)))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-prod
16×pow1 add-exp-log
10×add-cbrt-cube
pow-prod-down prod-exp cbrt-unprod
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
add-log-exp
distribute-lft-neg-in neg-mul-1 distribute-rgt-neg-in pow1/3
associate-*r* associate-*l* *-commutative
Counts
4 → 64
Calls
4 calls:
24.0ms
(* (* (cbrt (- (* x y))) (cbrt (- (* x y)))) (* (cbrt (- (* x y))) z))
1.0ms
(cbrt (- (* x y)))
1.0ms
(cbrt (- (* x y)))
1.0ms
(cbrt (- (* x y)))

series383.0ms

Counts
4 → 12
Calls
4 calls:
80.0ms
(* (* (cbrt (- (* x y))) (cbrt (- (* x y)))) (* (cbrt (- (* x y))) z))
99.0ms
(cbrt (- (* x y)))
103.0ms
(cbrt (- (* x y)))
101.0ms
(cbrt (- (* x y)))

simplify2.7s

Counts
76 → 76
Iterations

Useful iterations: 3 (1.1s)

IterNodesCost
0861029
1214991
2714677
33421571
done5000571

prune182.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes156.0ms

Accuracy

96.9% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 4.7b

bsearch1.0ms

simplify7.0ms

Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
01942
14033
24833
35033
done5033

end0.0ms

sample397.0ms

Algorithm
intervals
Results
196.0ms9670×body80valid