Details

Time bar (total: 17.2s)

sample41.0ms

Algorithm
intervals
Results
23.0ms347×body80valid

simplify4.2s

Counts
1 → 1
Iterations

Useful iterations: 3 (47.0ms)

IterNodesCost
01013
12713
26311
315110
429110
535610
642010
753210
869610
994410
10113910
11121810
12121910
done121910

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x 3.0) 4.0)
0.1b
(fma x (- (* x 3.0) 4.0) 1.0)
0.1b
(* 3.0 (fma x (- (* x 3.0) 4.0) 1.0))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt
add-cube-cbrt *-un-lft-identity
pow1 add-exp-log add-cbrt-cube add-log-exp
expm1-log1p-u associate-*r* associate-*l* prod-diff fma-udef log1p-expm1-u
distribute-rgt-in sub-neg flip3-- distribute-lft-in fma-neg diff-log pow-prod-down prod-exp *-commutative flip-- cbrt-unprod unswap-sqr
Counts
3 → 50
Calls
3 calls:
10.0ms
(- (* x 3.0) 4.0)
0.0ms
(fma x (- (* x 3.0) 4.0) 1.0)
10.0ms
(* 3.0 (fma x (- (* x 3.0) 4.0) 1.0))

series186.0ms

Counts
3 → 9
Calls
3 calls:
55.0ms
(- (* x 3.0) 4.0)
63.0ms
(fma x (- (* x 3.0) 4.0) 1.0)
68.0ms
(* 3.0 (fma x (- (* x 3.0) 4.0) 1.0))

simplify1.9s

Counts
59 → 59
Iterations

Useful iterations: done (1.9s)

IterNodesCost
0100687
1214644
2505563
31884555
done5000546

prune218.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
2 → 20
Calls
2 calls:
0.0ms
(fma x 9.0 (- 12.0))
0.0ms
(fma x (fma x 9.0 (- 12.0)) 3.0)

series109.0ms

Counts
2 → 6
Calls
2 calls:
59.0ms
(fma x 9.0 (- 12.0))
50.0ms
(fma x (fma x 9.0 (- 12.0)) 3.0)

simplify1.4s

Counts
26 → 26
Iterations

Useful iterations: 2 (24.0ms)

IterNodesCost
035238
155235
2120203
3387203
41961203
done5000203

prune113.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.1b
(* (- (* 9.0 x) 12.0) x)

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt
pow1 add-exp-log add-cube-cbrt *-un-lft-identity associate-*r* associate-*l* add-cbrt-cube
associate-*l/
expm1-log1p-u flip3-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod log1p-expm1-u add-log-exp unswap-sqr
Counts
1 → 22
Calls
1 calls:
53.0ms
(* (- (* 9.0 x) 12.0) x)

series137.0ms

Counts
1 → 3
Calls
1 calls:
136.0ms
(* (- (* 9.0 x) 12.0) x)

simplify2.8s

Counts
25 → 25
Iterations

Useful iterations: 2 (126.0ms)

IterNodesCost
049253
1118250
2374215
31266215
done5000215

prune470.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize10.0ms

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
(* (* x (- (* x 3.0) 4.0)) 3.0)

rewrite124.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
10×pow1 add-exp-log add-cbrt-cube
add-cube-cbrt *-un-lft-identity prod-diff
associate-*r*
distribute-rgt-in distribute-lft-in add-log-exp
associate-*r/ associate-*l* pow-prod-down prod-exp cbrt-unprod
expm1-log1p-u sub-neg flip3-- flip-- log1p-expm1-u
associate-*l/ *-commutative
fma-neg diff-log unswap-sqr
Counts
3 → 72
Calls
3 calls:
19.0ms
(- (* x 3.0) 4.0)
41.0ms
(* x (- (* x 3.0) 4.0))
59.0ms
(* (* x (- (* x 3.0) 4.0)) 3.0)

series303.0ms

Counts
3 → 9
Calls
3 calls:
68.0ms
(- (* x 3.0) 4.0)
116.0ms
(* x (- (* x 3.0) 4.0))
119.0ms
(* (* x (- (* x 3.0) 4.0)) 3.0)

simplify3.7s

Counts
81 → 81
Iterations

Useful iterations: done (3.7s)

IterNodesCost
0126957
1271859
2763734
33282717
done5000698

prune241.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes23.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1119
done119

end0.0ms

sample1.0s

Algorithm
intervals
Results
764.0ms10765×body80valid