Details

Time bar (total: 13.6s)

sample36.0ms

Algorithm
intervals
Results
19.0ms348×body80valid

simplify4.0s

Counts
1 → 1
Iterations
IterNodes
done5000
64460
51221
4417
3151
262
126
010

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize23.0ms

Local error

Found 2 expressions with local error:

0.1b
(* 3.0 (+ (- (* (* x 3.0) x) (* x 4.0)) 1.0))
0.2b
(* (* x 3.0) x)

rewrite285.0ms

Algorithm
rewrite-expression-head
Rules
9×pow1 add-cbrt-cube add-exp-log
7×add-sqr-sqrt *-un-lft-identity associate-*r*
5×add-cube-cbrt
4×associate-*l* pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u associate-*r/ *-commutative log1p-expm1-u add-log-exp
1×distribute-rgt-in distribute-lft-in flip3-+ flip-+ distribute-lft-out unswap-sqr
Counts
2 → 45
Calls
2 calls:
259.0ms
(* 3.0 (+ (- (* (* x 3.0) x) (* x 4.0)) 1.0))
24.0ms
(* (* x 3.0) x)

series91.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(* 3.0 (+ (- (* (* x 3.0) x) (* x 4.0)) 1.0))
51.0ms
(* (* x 3.0) x)

simplify1.6s

Counts
51 → 51
Iterations
IterNodes
done5000
21462
1258
089

prune249.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 2 expressions with local error:

0.0b
(- 3.0 (* x 12.0))
0.1b
(fma x (* x 9.0) (- 3.0 (* x 12.0)))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
4×add-sqr-sqrt *-un-lft-identity add-cube-cbrt add-log-exp
3×fma-neg prod-diff
2×expm1-log1p-u pow1 add-cbrt-cube add-exp-log log1p-expm1-u
1×sub-neg flip3-- diff-log fma-udef flip--
Counts
2 → 30
Calls
2 calls:
5.0ms
(- 3.0 (* x 12.0))
0.0ms
(fma x (* x 9.0) (- 3.0 (* x 12.0)))

series102.0ms

Counts
2 → 6
Calls
2 calls:
64.0ms
(- 3.0 (* x 12.0))
38.0ms
(fma x (* x 9.0) (- 3.0 (* x 12.0)))

simplify908.0ms

Counts
36 → 36
Iterations
IterNodes
done5000
2587
1131
059

prune245.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x 3.0) 4.0)
0.1b
(* x (- (* x 3.0) 4.0))
0.1b
(* 3.0 (* x (- (* x 3.0) 4.0)))

rewrite110.0ms

Algorithm
rewrite-expression-head
Rules
25×distribute-rgt-in distribute-lft-in
21×prod-diff
15×add-sqr-sqrt
13×*-un-lft-identity add-cube-cbrt
10×pow1 add-cbrt-cube add-exp-log
7×sub-neg
6×associate-*l* associate-*r/
5×add-log-exp
4×associate-*r* pow-prod-down prod-exp cbrt-unprod
3×expm1-log1p-u flip3-- log1p-expm1-u flip--
2×*-commutative
1×fma-neg diff-log unswap-sqr
Counts
3 → 92
Calls
3 calls:
11.0ms
(- (* x 3.0) 4.0)
23.0ms
(* x (- (* x 3.0) 4.0))
70.0ms
(* 3.0 (* x (- (* x 3.0) 4.0)))

series340.0ms

Counts
3 → 9
Calls
3 calls:
72.0ms
(- (* x 3.0) 4.0)
105.0ms
(* x (- (* x 3.0) 4.0))
163.0ms
(* 3.0 (* x (- (* x 3.0) 4.0)))

simplify2.0s

Counts
101 → 101
Iterations
IterNodes
done5000
22139
1414
0155

prune428.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.1b
(* 3.0 (- (* (* x x) 3.0) (* 4.0 x)))
0.2b
(* (* x x) 3.0)

rewrite96.0ms

Algorithm
rewrite-expression-head
Rules
9×pow1 add-cbrt-cube add-exp-log
8×add-sqr-sqrt
6×associate-*r*
5×*-un-lft-identity add-cube-cbrt
4×associate-*l* pow-prod-down prod-exp cbrt-unprod
3×distribute-rgt-in distribute-lft-in
2×expm1-log1p-u sub-neg prod-diff associate-*r/ *-commutative log1p-expm1-u add-log-exp unswap-sqr
1×flip3-- flip--
Counts
2 → 49
Calls
2 calls:
71.0ms
(* 3.0 (- (* (* x x) 3.0) (* 4.0 x)))
23.0ms
(* (* x x) 3.0)

series192.0ms

Counts
2 → 6
Calls
2 calls:
154.0ms
(* 3.0 (- (* (* x x) 3.0) (* 4.0 x)))
38.0ms
(* (* x x) 3.0)

simplify1.6s

Counts
55 → 55
Iterations
IterNodes
done5001
21663
1259
093

prune253.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

regimes45.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done10
110
08

end0.0ms

sample850.0ms

Algorithm
intervals
Results
672.0ms10565×body80valid