Details

Time bar (total: 14.6s)

sample26.0ms

Algorithm
intervals
Results
10.0ms310×body80valid

simplify79.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
1117
2247
3527
4817
5877
done877

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.6b

localize6.0ms

Local error

Found 1 expressions with local error:

3.4b
(* x (- 1.0 (* y z)))

rewrite20.0ms

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:
19.0ms
(* x (- 1.0 (* y z)))

series59.0ms

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

simplify1.4s

Counts
35 → 35
Iterations

Useful iterations: done (1.4s)

IterNodesCost
070405
1151402
2392352
31409343
done5000307

prune87.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 3.5b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* 1.0 x) (* (- (* y z)) x))
6.3b
(* (- (* y z)) x)

rewrite26.0ms

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 distribute-rgt-out fma-def distribute-rgt-neg-in flip3-+ unsub-neg pow-prod-down prod-exp sum-log *-commutative cbrt-unprod flip-+ unswap-sqr
Counts
2 → 41
Calls
2 calls:
13.0ms
(+ (* 1.0 x) (* (- (* y z)) x))
12.0ms
(* (- (* y z)) x)

series97.0ms

Counts
2 → 6
Calls
2 calls:
67.0ms
(+ (* 1.0 x) (* (- (* y z)) x))
30.0ms
(* (- (* y z)) x)

simplify1.9s

Counts
47 → 47
Iterations

Useful iterations: done (1.9s)

IterNodesCost
070457
1192378
2902351
done5000348

prune155.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

6.3b
(* (- (* y z)) x)
12.4b
(cbrt (* (- (* y z)) x))
12.4b
(cbrt (* (- (* y z)) x))
12.4b
(cbrt (* (- (* y z)) x))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt
6×pow1 add-exp-log add-cube-cbrt *-un-lft-identity associate-*l* add-cbrt-cube
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×cbrt-prod pow1/3 associate-*r*
1×distribute-lft-neg-out distribute-lft-neg-in neg-mul-1 distribute-rgt-neg-in pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 57
Calls
4 calls:
11.0ms
(* (- (* y z)) x)
6.0ms
(cbrt (* (- (* y z)) x))
8.0ms
(cbrt (* (- (* y z)) x))
12.0ms
(cbrt (* (- (* y z)) x))

series504.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(* (- (* y z)) x)
146.0ms
(cbrt (* (- (* y z)) x))
138.0ms
(cbrt (* (- (* y z)) x))
170.0ms
(cbrt (* (- (* y z)) x))

simplify4.5s

Counts
69 → 69
Iterations

Useful iterations: done (4.5s)

IterNodesCost
083671
1190653
2723585
33286561
done5000531

prune352.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

6.3b
(* (- (* y z)) x)
12.4b
(cbrt (* (* (- (* y z)) (* (cbrt x) (cbrt x))) (cbrt x)))
12.4b
(cbrt (* (- (* y z)) x))
12.4b
(cbrt (* (- (* y z)) x))

rewrite105.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt
6×pow1 add-exp-log add-cube-cbrt *-un-lft-identity associate-*l* add-cbrt-cube
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×cbrt-prod pow1/3 associate-*r*
1×distribute-lft-neg-out distribute-lft-neg-in neg-mul-1 distribute-rgt-neg-in pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 57
Calls
4 calls:
14.0ms
(* (- (* y z)) x)
74.0ms
(cbrt (* (* (- (* y z)) (* (cbrt x) (cbrt x))) (cbrt x)))
6.0ms
(cbrt (* (- (* y z)) x))
6.0ms
(cbrt (* (- (* y z)) x))

series410.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(* (- (* y z)) x)
147.0ms
(cbrt (* (* (- (* y z)) (* (cbrt x) (cbrt x))) (cbrt x)))
109.0ms
(cbrt (* (- (* y z)) x))
115.0ms
(cbrt (* (- (* y z)) x))

simplify3.4s

Counts
69 → 69
Iterations

Useful iterations: done (3.4s)

IterNodesCost
099767
1215749
2773667
33402603
done5000543

prune282.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes250.0ms

Accuracy

90.2% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 3.4b

bsearch2.0ms

simplify12.0ms

Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
01839
12930
23330
34030
done4030

end0.0ms

sample824.0ms

Algorithm
intervals
Results
318.0ms9682×body80valid