Details

Time bar (total: 12.7s)

sample41.0ms

Algorithm
intervals
Results
22.0ms311×body80valid
4.0ms11×body1280valid
3.0ms10×body640valid
1.0ms5×body320valid
1.0ms4×body160valid

simplify179.0ms

Counts
1 → 1
Iterations
IterNodes
done224
6224
5221
4169
380
231
114
07

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize14.0ms

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)))

rewrite69.0ms

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 insert-posit16 log1p-expm1-u flip--
2×associate-*l/ *-commutative
1×diff-log unswap-sqr
Counts
3 → 77
Calls
3 calls:
8.0ms
(- 2.0 (* x 3.0))
37.0ms
(* (* 3.0 (- 2.0 (* x 3.0))) x)
22.0ms
(* 3.0 (- 2.0 (* x 3.0)))

series262.0ms

Counts
3 → 9
Calls
3 calls:
69.0ms
(- 2.0 (* x 3.0))
114.0ms
(* (* 3.0 (- 2.0 (* x 3.0))) x)
79.0ms
(* 3.0 (- 2.0 (* x 3.0)))

simplify1.2s

Counts
86 → 86
Iterations
IterNodes
done5001
2966
1281
0116

prune275.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt
3×pow1 *-un-lft-identity add-cbrt-cube associate-*r* associate-*l* add-exp-log add-cube-cbrt
2×associate-*l/
1×expm1-log1p-u flip3-- pow-prod-down prod-exp *-commutative cbrt-unprod insert-posit16 log1p-expm1-u flip-- add-log-exp unswap-sqr
Counts
1 → 23
Calls
1 calls:
15.0ms
(* (- 6.0 (* 9.0 x)) x)

series90.0ms

Counts
1 → 3
Calls
1 calls:
90.0ms
(* (- 6.0 (* 9.0 x)) x)

simplify1.8s

Counts
26 → 26
Iterations
IterNodes
done5012
31997
2402
1123
050

prune119.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.1b
(* 3.0 (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0))))
0.1b
(* (/ (* 3.0 (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0)))) (+ 2.0 (* x 3.0))) x)
0.1b
(/ (* 3.0 (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0)))) (+ 2.0 (* x 3.0)))
0.3b
(* (* x 3.0) (* x 3.0))

rewrite147.0ms

Algorithm
rewrite-expression-head
Rules
47×pow1
32×add-cbrt-cube add-exp-log
19×pow-prod-down
15×add-sqr-sqrt
14×prod-exp cbrt-unprod
13×associate-*l*
11×*-un-lft-identity add-cube-cbrt
8×associate-*r*
6×times-frac
4×expm1-log1p-u cbrt-undiv div-exp associate-*r/ associate-/r/ pow-sqr pow-prod-up insert-posit16 log1p-expm1-u add-log-exp
3×distribute-rgt-in associate-/r* distribute-lft-in *-commutative
2×sub-neg flip3-+ pow-plus flip3-- prod-diff flip-+ div-inv flip-- unswap-sqr associate-/l/
1×pow2 clear-num frac-2neg swap-sqr associate-*l/ associate-/l* difference-of-squares
Counts
4 → 127
Calls
4 calls:
40.0ms
(* 3.0 (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0))))
44.0ms
(* (/ (* 3.0 (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0)))) (+ 2.0 (* x 3.0))) x)
27.0ms
(/ (* 3.0 (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0)))) (+ 2.0 (* x 3.0)))
34.0ms
(* (* x 3.0) (* x 3.0))

series800.0ms

Counts
4 → 12
Calls
4 calls:
146.0ms
(* 3.0 (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0))))
354.0ms
(* (/ (* 3.0 (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0)))) (+ 2.0 (* x 3.0))) x)
257.0ms
(/ (* 3.0 (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0)))) (+ 2.0 (* x 3.0)))
44.0ms
(* (* x 3.0) (* x 3.0))

simplify2.1s

Counts
139 → 139
Iterations
IterNodes
done5000
22095
1517
0185

prune421.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* x 6.0) (* (* x x) 9.0))
0.2b
(* (* x x) 9.0)

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-cbrt-cube add-exp-log
4×add-sqr-sqrt add-log-exp
3×*-un-lft-identity associate-*r* pow-prod-down prod-exp add-cube-cbrt cbrt-unprod
2×expm1-log1p-u insert-posit16 log1p-expm1-u
1×sub-neg flip3-- fma-neg diff-log associate-*l* prod-diff *-commutative flip-- unswap-sqr
Counts
2 → 39
Calls
2 calls:
8.0ms
(- (* x 6.0) (* (* x x) 9.0))
15.0ms
(* (* x x) 9.0)

series214.0ms

Counts
2 → 6
Calls
2 calls:
168.0ms
(- (* x 6.0) (* (* x x) 9.0))
46.0ms
(* (* x x) 9.0)

simplify3.4s

Counts
45 → 45
Iterations
IterNodes
done5001
32808
2701
1196
073

prune172.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

regimes53.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify8.0ms

Iterations
IterNodes
done17
217
112
07

end0.0ms

sample1.1s

Algorithm
intervals
Results
691.0ms9716×body80valid
124.0ms275×body640valid
90.0ms321×body1280valid
23.0ms142×body320valid
9.0ms85×body160valid