Details

Time bar (total: 7.4s)

sample16.0ms

Algorithm
intervals
Results
6.0ms311×body80valid

simplify37.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
077
1117
2247
3527
4807
5907
done907

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.4b

localize5.0ms

Local error

Found 1 expressions with local error:

4.1b
(* 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)))

series47.0ms

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

simplify1.1s

Counts
35 → 35
Iterations

Useful iterations: done (1.1s)

IterNodesCost
070405
1152402
2558352
32059343
done5000337

prune66.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 4.2b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x 1.0) (* x (- (* y z))))
6.6b
(* 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)))

series82.0ms

Counts
2 → 6
Calls
2 calls:
57.0ms
(+ (* x 1.0) (* x (- (* y z))))
25.0ms
(* x (- (* y z)))

simplify475.0ms

Counts
47 → 47
Iterations

Useful iterations: done (473.0ms)

IterNodesCost
072455
1200376
2990348
done5001347

prune95.0ms

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
(+ (* x 1.0) (* (* x y) (- z)))
5.1b
(* (* x y) (- z))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
10×associate-*r*
7×pow1 add-exp-log add-cbrt-cube
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×add-log-exp
3×distribute-lft-neg-in distribute-rgt-neg-in pow-prod-down prod-exp distribute-rgt-neg-out cbrt-unprod
2×expm1-log1p-u log1p-expm1-u
1×+-commutative neg-mul-1 fma-def flip3-+ associate-*l* unsub-neg sum-log *-commutative flip-+
Counts
2 → 44
Calls
2 calls:
3.0ms
(+ (* x 1.0) (* (* x y) (- z)))
8.0ms
(* (* x y) (- z))

series83.0ms

Counts
2 → 6
Calls
2 calls:
55.0ms
(+ (* x 1.0) (* (* x y) (- z)))
28.0ms
(* (* x y) (- z))

simplify574.0ms

Counts
50 → 50
Iterations

Useful iterations: done (573.0ms)

IterNodesCost
085490
1263439
21222367
done5001366

prune101.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

5.1b
(* (* x y) (- z))
11.3b
(cbrt (* (* x y) (- z)))
11.3b
(cbrt (* (* x y) (- z)))
11.3b
(cbrt (* (* x y) (- z)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
10×associate-*r*
9×pow1 add-exp-log add-cbrt-cube
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×cbrt-prod distribute-lft-neg-in distribute-rgt-neg-in pow1/3 pow-prod-down prod-exp cbrt-unprod
1×neg-mul-1 associate-*l* *-commutative distribute-rgt-neg-out
Counts
4 → 61
Calls
4 calls:
8.0ms
(* (* x y) (- z))
5.0ms
(cbrt (* (* x y) (- z)))
6.0ms
(cbrt (* (* x y) (- z)))
6.0ms
(cbrt (* (* x y) (- z)))

series333.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(* (* x y) (- z))
98.0ms
(cbrt (* (* x y) (- z)))
107.0ms
(cbrt (* (* x y) (- z)))
100.0ms
(cbrt (* (* x y) (- z)))

simplify3.5s

Counts
73 → 73
Iterations

Useful iterations: 3 (460.0ms)

IterNodesCost
097710
1250681
21002602
34692581
done5000581

prune225.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes209.0ms

Accuracy

80.8% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 4.7b

bsearch1.0ms

simplify6.0ms

Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
01942
13633
24433
35033
done5033

end0.0ms

sample399.0ms

Algorithm
intervals
Results
200.0ms9562×body80valid