Details

Time bar (total: 8.8s)

sample20.0ms

Algorithm
intervals
Results
8.0ms307×body80valid
1.0ms13×body640valid
1.0ms7×body1280valid
0.0ms4×body320valid
0.0ms2×body160valid

simplify242.0ms

Counts
1 → 1
Iterations
IterNodes
done278
7278
6276
5264
4191
382
232
114
07

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(- 2.0 (* x 3.0))
0.1b
(* (* 3.0 (- 2.0 (* x 3.0))) x)
0.1b
(* 3.0 (- 2.0 (* x 3.0)))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
10×pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt
9×prod-diff
6×associate-*r*
5×distribute-rgt-in distribute-lft-in add-log-exp
4×associate-*l* pow-prod-down prod-exp associate-*r/ cbrt-unprod
3×expm1-log1p-u sub-neg flip3-- fma-neg log1p-expm1-u flip--
2×associate-*l/ *-commutative
1×diff-log unswap-sqr
Counts
3 → 74
Calls
3 calls:
5.0ms
(- 2.0 (* x 3.0))
30.0ms
(* (* 3.0 (- 2.0 (* x 3.0))) x)
14.0ms
(* 3.0 (- 2.0 (* x 3.0)))

series319.0ms

Counts
3 → 9
Calls
3 calls:
80.0ms
(- 2.0 (* x 3.0))
152.0ms
(* (* 3.0 (- 2.0 (* x 3.0))) x)
87.0ms
(* 3.0 (- 2.0 (* x 3.0)))

simplify920.0ms

Counts
83 → 83
Iterations
IterNodes
done5000
21359
1281
0113

prune357.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 2 expressions with local error:

0.1b
(fma x 6.0 (* (* x x) (- 9.0)))
0.2b
(* (* x x) (- 9.0))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
10×associate-*r*
7×pow1 add-cbrt-cube add-exp-log
6×add-sqr-sqrt
5×*-un-lft-identity add-cube-cbrt
3×distribute-lft-neg-in distribute-rgt-neg-in pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u log1p-expm1-u add-log-exp
1×neg-mul-1 associate-*l* *-commutative distribute-rgt-neg-out fma-udef unswap-sqr
Counts
2 → 39
Calls
2 calls:
1.0ms
(fma x 6.0 (* (* x x) (- 9.0)))
35.0ms
(* (* x x) (- 9.0))

series169.0ms

Counts
2 → 6
Calls
2 calls:
108.0ms
(fma x 6.0 (* (* x x) (- 9.0)))
61.0ms
(* (* x x) (- 9.0))

simplify898.0ms

Counts
45 → 45
Iterations
IterNodes
done5000
21128
1183
070

prune626.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.1b
(fma x 6.0 (pow (* (- x) (* x 9.0)) 1))
0.2b
(* (- x) (* x 9.0))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
10×associate-*l*
7×pow1 add-cbrt-cube add-exp-log
5×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
3×distribute-lft-neg-in distribute-rgt-neg-in pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u log1p-expm1-u add-log-exp
1×distribute-lft-neg-out neg-mul-1 associate-*r* *-commutative fma-udef
Counts
2 → 38
Calls
2 calls:
0.0ms
(fma x 6.0 (pow (* (- x) (* x 9.0)) 1))
16.0ms
(* (- x) (* x 9.0))

series153.0ms

Counts
2 → 6
Calls
2 calls:
90.0ms
(fma x 6.0 (pow (* (- x) (* x 9.0)) 1))
62.0ms
(* (- x) (* x 9.0))

simplify619.0ms

Counts
44 → 44
Iterations
IterNodes
done5000
2861
1159
067

prune197.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.1b
(fma x 6.0 (* (* (* (cbrt 9.0) (cbrt 9.0)) (* x x)) (- (cbrt 9.0))))
0.2b
(* (* (* (cbrt 9.0) (cbrt 9.0)) (* x x)) (- (cbrt 9.0)))
0.3b
(* (* (cbrt 9.0) (cbrt 9.0)) (* x x))

rewrite181.0ms

Algorithm
rewrite-expression-head
Rules
49×pow1
33×add-exp-log
27×pow-prod-down
25×add-cbrt-cube
21×prod-exp cbrt-unprod
17×associate-*r*
8×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
6×cbrt-prod distribute-lft-neg-in distribute-rgt-neg-in
4×pow-plus pow-prod-up
3×expm1-log1p-u log1p-expm1-u add-log-exp
2×pow2 associate-*l* pow-sqr *-commutative
1×neg-mul-1 distribute-rgt-neg-out fma-udef unswap-sqr
Counts
3 → 84
Calls
3 calls:
0.0ms
(fma x 6.0 (* (* (* (cbrt 9.0) (cbrt 9.0)) (* x x)) (- (cbrt 9.0))))
137.0ms
(* (* (* (cbrt 9.0) (cbrt 9.0)) (* x x)) (- (cbrt 9.0)))
39.0ms
(* (* (cbrt 9.0) (cbrt 9.0)) (* x x))

series557.0ms

Counts
3 → 9
Calls
3 calls:
255.0ms
(fma x 6.0 (* (* (* (cbrt 9.0) (cbrt 9.0)) (* x x)) (- (cbrt 9.0))))
165.0ms
(* (* (* (cbrt 9.0) (cbrt 9.0)) (* x x)) (- (cbrt 9.0)))
138.0ms
(* (* (cbrt 9.0) (cbrt 9.0)) (* x x))

simplify2.1s

Counts
93 → 93
Iterations
IterNodes
done5001
22820
1344
0119

prune320.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes86.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify9.0ms

Iterations
IterNodes
done25
325
219
115
09

end0.0ms

sample856.0ms

Algorithm
intervals
Results
495.0ms9846×body80valid
56.0ms359×body1280valid
34.0ms282×body640valid
12.0ms139×body320valid
4.0ms65×body160valid