Details

Time bar (total: 15.2s)

sample35.0ms

Algorithm
intervals
Results
18.0ms332×body80valid

simplify4.1s

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

prune21.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize30.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* (* x 3.0) x) (* x 4.0))
0.1b
(* 3.0 (+ (- (* (* x 3.0) x) (* x 4.0)) 1.0))
0.2b
(* (* x 3.0) x)

rewrite319.0ms

Algorithm
rewrite-expression-head
Rules
10×pow1 add-cbrt-cube add-exp-log
8×add-sqr-sqrt *-un-lft-identity
7×associate-*r*
6×add-cube-cbrt
5×add-log-exp
4×associate-*l* pow-prod-down prod-exp cbrt-unprod
3×expm1-log1p-u log1p-expm1-u
2×associate-*r/ *-commutative
1×distribute-rgt-in sub-neg distribute-lft-in flip3-+ flip3-- fma-neg diff-log prod-diff flip-+ flip-- distribute-lft-out unswap-sqr
Counts
3 → 61
Calls
3 calls:
33.0ms
(- (* (* x 3.0) x) (* x 4.0))
251.0ms
(* 3.0 (+ (- (* (* x 3.0) x) (* x 4.0)) 1.0))
32.0ms
(* (* x 3.0) x)

series197.0ms

Counts
3 → 9
Calls
3 calls:
108.0ms
(- (* (* x 3.0) x) (* x 4.0))
39.0ms
(* 3.0 (+ (- (* (* x 3.0) x) (* x 4.0)) 1.0))
49.0ms
(* (* x 3.0) x)

simplify1.9s

Counts
70 → 70
Iterations
IterNodes
done5000
22026
1331
0115

prune315.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize16.0ms

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)))

rewrite11.0ms

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:
9.0ms
(- 3.0 (* x 12.0))
1.0ms
(fma x (* x 9.0) (- 3.0 (* x 12.0)))

series109.0ms

Counts
2 → 6
Calls
2 calls:
54.0ms
(- 3.0 (* x 12.0))
55.0ms
(fma x (* x 9.0) (- 3.0 (* x 12.0)))

simplify857.0ms

Counts
36 → 36
Iterations
IterNodes
done5000
2587
1131
059

prune205.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* 3.0 (* x x)) (* 4.0 x))
0.1b
(* 3.0 (+ (- (* 3.0 (* x x)) (* 4.0 x)) 1.0))
0.2b
(* 3.0 (* x x))

rewrite251.0ms

Algorithm
rewrite-expression-head
Rules
10×pow1 add-cbrt-cube add-exp-log
9×add-sqr-sqrt
8×*-un-lft-identity
6×associate-*l* add-cube-cbrt
5×associate-*r* add-log-exp
4×pow-prod-down prod-exp cbrt-unprod
3×expm1-log1p-u log1p-expm1-u
2×associate-*r/ *-commutative unswap-sqr
1×distribute-rgt-in sub-neg distribute-lft-in flip3-+ flip3-- fma-neg diff-log prod-diff flip-+ flip-- distribute-lft-out
Counts
3 → 62
Calls
3 calls:
16.0ms
(- (* 3.0 (* x x)) (* 4.0 x))
212.0ms
(* 3.0 (+ (- (* 3.0 (* x x)) (* 4.0 x)) 1.0))
22.0ms
(* 3.0 (* x x))

series261.0ms

Counts
3 → 9
Calls
3 calls:
143.0ms
(- (* 3.0 (* x x)) (* 4.0 x))
76.0ms
(* 3.0 (+ (- (* 3.0 (* x x)) (* 4.0 x)) 1.0))
42.0ms
(* 3.0 (* x x))

simplify1.8s

Counts
71 → 71
Iterations
IterNodes
done5001
21871
1347
0111

prune373.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize20.0ms

Local error

Found 2 expressions with local error:

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

rewrite12.0ms

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:
10.0ms
(- 3.0 (* 12.0 x))
1.0ms
(fma (* x x) 9.0 (- 3.0 (* 12.0 x)))

series144.0ms

Counts
2 → 6
Calls
2 calls:
79.0ms
(- 3.0 (* 12.0 x))
64.0ms
(fma (* x x) 9.0 (- 3.0 (* 12.0 x)))

simplify2.7s

Counts
36 → 36
Iterations
IterNodes
done5000
34431
2546
1125
058

prune171.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes37.0ms

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

sample1.2s

Algorithm
intervals
Results
1.1s10603×body80valid