Details

Time bar (total: 9.4s)

sample19.0ms

Algorithm
intervals
Results
6.0ms310×body80valid

simplify56.0ms

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: 1.1b

localize6.0ms

Local error

Found 1 expressions with local error:

1.1b
(* x (- 1.0 (* y z)))

rewrite19.0ms

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:
17.0ms
(* x (- 1.0 (* y z)))

series54.0ms

Counts
1 → 3
Calls
1 calls:
54.0ms
(* x (- 1.0 (* y z)))

simplify1.1s

Counts
35 → 35
Iterations

Useful iterations: done (1.1s)

IterNodesCost
070405
1151402
2392352
31409343
done5000307

prune78.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 1.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* 1.0 x) (* (- (* y z)) x))
3.4b
(* (- (* y z)) x)

rewrite19.0ms

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:
8.0ms
(+ (* 1.0 x) (* (- (* y z)) x))
11.0ms
(* (- (* y z)) x)

series99.0ms

Counts
2 → 6
Calls
2 calls:
65.0ms
(+ (* 1.0 x) (* (- (* y z)) x))
33.0ms
(* (- (* y z)) x)

simplify1.4s

Counts
47 → 47
Iterations

Useful iterations: done (1.4s)

IterNodesCost
070457
1192378
2902351
done5000348

prune120.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
1.0b
(* (* (- (* y z)) (* (cbrt x) (cbrt x))) (cbrt x))
2.8b
(* (- (* y z)) (* (cbrt x) (cbrt x)))

rewrite108.0ms

Algorithm
rewrite-expression-head
Rules
18×pow1 add-exp-log
11×add-cbrt-cube
10×add-sqr-sqrt
9×cbrt-prod add-cube-cbrt *-un-lft-identity pow-prod-down prod-exp cbrt-unprod
7×associate-*r* associate-*l*
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×distribute-lft-neg-out
2×pow1/3 *-commutative
1×distribute-lft-neg-in neg-mul-1 distribute-rgt-neg-in unswap-sqr
Counts
4 → 78
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
75.0ms
(* (* (- (* y z)) (* (cbrt x) (cbrt x))) (cbrt x))
30.0ms
(* (- (* y z)) (* (cbrt x) (cbrt x)))

series588.0ms

Counts
4 → 12
Calls
4 calls:
196.0ms
(cbrt x)
196.0ms
(cbrt x)
57.0ms
(* (* (- (* y z)) (* (cbrt x) (cbrt x))) (cbrt x))
139.0ms
(* (- (* y z)) (* (cbrt x) (cbrt x)))

simplify1.0s

Counts
90 → 90
Iterations

Useful iterations: done (1.0s)

IterNodesCost
098961
1253917
21112661
done5000591

prune237.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

3.4b
(* x (* z y))
12.0b
(cbrt (- (* x (* z y))))
12.0b
(cbrt (- (* x (* z y))))
12.0b
(cbrt (- (* x (* z y))))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-prod
9×pow1 add-exp-log add-cbrt-cube
8×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 associate-*l* pow-prod-down prod-exp cbrt-unprod
1×associate-*r* *-commutative
Counts
4 → 68
Calls
4 calls:
16.0ms
(* x (* z y))
4.0ms
(cbrt (- (* x (* z y))))
4.0ms
(cbrt (- (* x (* z y))))
5.0ms
(cbrt (- (* x (* z y))))

series354.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(* x (* z y))
106.0ms
(cbrt (- (* x (* z y))))
109.0ms
(cbrt (- (* x (* z y))))
113.0ms
(cbrt (- (* x (* z y))))

simplify3.3s

Counts
80 → 80
Iterations

Useful iterations: 4 (2.4s)

IterNodesCost
089816
1198801
2571714
31813693
44320663
done5000663

prune235.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes100.0ms

Accuracy

0% (3.5b remaining)

Error of 3.5b against oracle of 0.0b and baseline of 3.5b

bsearch0.0ms

simplify8.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0910
11910
22510
32610
done2610

end0.0ms

sample467.0ms

Algorithm
intervals
Results
200.0ms9552×body80valid