Details

Time bar (total: 10.8s)

sample16.0ms

Algorithm
intervals
Results
6.0ms310×body80valid

simplify39.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
077
1117
2247
3517
4797
5897
done897

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.8b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt
6×prod-diff
5×distribute-rgt-in add-cube-cbrt *-un-lft-identity distribute-lft-in
3×pow1 add-exp-log associate-*r* associate-*l* add-cbrt-cube
2×sub-neg associate-*r/
1×expm1-log1p-u flip3-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod log1p-expm1-u add-log-exp unswap-sqr
Counts
1 → 32
Calls
1 calls:
8.0ms
(* x (- 1.0 (* y z)))

series49.0ms

Counts
1 → 3
Calls
1 calls:
49.0ms
(* x (- 1.0 (* y z)))

simplify2.5s

Counts
35 → 35
Iterations

Useful iterations: 4 (1.0s)

IterNodesCost
070405
1148402
2394352
31244343
44391307
done5001307

prune91.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 4.7b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt associate-*r*
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
3×associate-*l* distribute-rgt-neg-out
2×expm1-log1p-u log1p-expm1-u
1×+-commutative distribute-lft-neg-in neg-mul-1 fma-def distribute-rgt-neg-in flip3-+ unsub-neg pow-prod-down prod-exp sum-log *-commutative cbrt-unprod flip-+ distribute-lft-out unswap-sqr
Counts
2 → 41
Calls
2 calls:
3.0ms
(+ (* x 1.0) (* x (- (* y z))))
5.0ms
(* x (- (* y z)))

series85.0ms

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

simplify3.1s

Counts
47 → 47
Iterations

Useful iterations: 3 (1.5s)

IterNodesCost
072455
1190376
2785348
34910344
done5000344

prune104.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt associate-*l*
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
3×distribute-lft-neg-out associate-*r*
2×expm1-log1p-u log1p-expm1-u
1×+-commutative distribute-lft-neg-in neg-mul-1 fma-def distribute-rgt-neg-in flip3-+ unsub-neg pow-prod-down prod-exp sum-log *-commutative cbrt-unprod flip-+ unswap-sqr
Counts
2 → 40
Calls
2 calls:
3.0ms
(+ (* x 1.0) (* (- (* x y)) z))
4.0ms
(* (- (* x y)) z)

series82.0ms

Counts
2 → 6
Calls
2 calls:
56.0ms
(+ (* x 1.0) (* (- (* x y)) z))
26.0ms
(* (- (* x y)) z)

simplify893.0ms

Counts
46 → 46
Iterations

Useful iterations: done (891.0ms)

IterNodesCost
070451
1189408
2887349
done5000348

prune120.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

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)))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-prod
16×pow1 add-exp-log
10×add-cbrt-cube
8×pow-prod-down prod-exp cbrt-unprod
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×distribute-lft-neg-in neg-mul-1 distribute-rgt-neg-in pow1/3
1×associate-*r* associate-*l* *-commutative
Counts
4 → 72
Calls
4 calls:
26.0ms
(* (* (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)))

series370.0ms

Counts
4 → 12
Calls
4 calls:
79.0ms
(* (* (cbrt (- (* x y))) (cbrt (- (* x y)))) (* (cbrt (- (* x y))) z))
96.0ms
(cbrt (- (* x y)))
98.0ms
(cbrt (- (* x y)))
98.0ms
(cbrt (- (* x y)))

simplify2.4s

Counts
84 → 84
Iterations

Useful iterations: 3 (901.0ms)

IterNodesCost
0901105
12181067
2724733
33461621
done5001621

prune226.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes157.0ms

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

sample405.0ms

Algorithm
intervals
Results
203.0ms9670×body80valid