Details

Time bar (total: 12.5s)

sample15.0ms

Algorithm
intervals
Results
6.0ms309×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: 3.4b

localize5.0ms

Local error

Found 1 expressions with local error:

3.2b
(* 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)))

series53.0ms

Counts
1 → 3
Calls
1 calls:
52.0ms
(* x (- 1.0 (* y z)))

simplify2.5s

Counts
35 → 35
Iterations

Useful iterations: 4 (1.1s)

IterNodesCost
070405
1148402
2394352
31244343
44391307
done5001307

prune78.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 3.2b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x 1.0) (* x (- (* y z))))
6.7b
(* 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))))
4.0ms
(* x (- (* y z)))

series103.0ms

Counts
2 → 6
Calls
2 calls:
67.0ms
(+ (* x 1.0) (* x (- (* y z))))
36.0ms
(* x (- (* y z)))

simplify3.6s

Counts
47 → 47
Iterations

Useful iterations: 3 (1.7s)

IterNodesCost
072455
1190376
2785348
34910344
done5000344

prune126.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

6.7b
(* x (- (* y z)))
10.2b
(cbrt (* x (- (* y z))))
10.2b
(cbrt (* x (- (* y z))))
10.2b
(cbrt (* x (- (* y z))))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt
6×pow1 add-exp-log add-cube-cbrt *-un-lft-identity associate-*r* add-cbrt-cube
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×cbrt-prod pow1/3 associate-*l*
1×distribute-lft-neg-in neg-mul-1 distribute-rgt-neg-in pow-prod-down prod-exp *-commutative distribute-rgt-neg-out cbrt-unprod unswap-sqr
Counts
4 → 57
Calls
4 calls:
5.0ms
(* x (- (* y z)))
2.0ms
(cbrt (* x (- (* y z))))
2.0ms
(cbrt (* x (- (* y z))))
2.0ms
(cbrt (* x (- (* y z))))

series420.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(* x (- (* y z)))
126.0ms
(cbrt (* x (- (* y z))))
132.0ms
(cbrt (* x (- (* y z))))
129.0ms
(cbrt (* x (- (* y z))))

simplify2.2s

Counts
69 → 69
Iterations

Useful iterations: 3 (710.0ms)

IterNodesCost
084669
1190651
2605582
32930558
done5000558

prune280.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

1.4b
(* x (* (cbrt (- (* y z))) (cbrt (- (* y z)))))
12.1b
(cbrt (- (* y z)))
12.1b
(cbrt (- (* y z)))
12.1b
(cbrt (- (* y z)))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-prod
9×pow1 add-exp-log add-sqr-sqrt
8×add-cube-cbrt *-un-lft-identity
7×add-cbrt-cube
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 unswap-sqr
Counts
4 → 69
Calls
4 calls:
14.0ms
(* x (* (cbrt (- (* y z))) (cbrt (- (* y z)))))
1.0ms
(cbrt (- (* y z)))
1.0ms
(cbrt (- (* y z)))
1.0ms
(cbrt (- (* y z)))

series569.0ms

Counts
4 → 12
Calls
4 calls:
205.0ms
(* x (* (cbrt (- (* y z))) (cbrt (- (* y z)))))
121.0ms
(cbrt (- (* y z)))
121.0ms
(cbrt (- (* y z)))
122.0ms
(cbrt (- (* y z)))

simplify1.5s

Counts
81 → 81
Iterations

Useful iterations: 3 (343.0ms)

IterNodesCost
0104908
1250877
2638780
31911747
done5000747

prune236.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

regimes176.0ms

Accuracy

96.4% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 3.4b

bsearch2.0ms

simplify7.0ms

Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
01942
13633
24433
35033
done5033

end0.0ms

sample393.0ms

Algorithm
intervals
Results
198.0ms9628×body80valid