Details

Time bar (total: 18.0s)

sample53.0ms

Algorithm
intervals
Results
15.0ms295×body80nan
15.0ms272×body80valid

simplify1.8s

Counts
1 → 1
Iterations
IterNodes
done5001
94385
81130
7455
6200
5134
498
373
247
124
012

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b
(- 1.0 (/ 1.0 (* 9.0 x)))
0.3b
(/ y (* 3.0 (sqrt x)))
0.3b
(* 3.0 (sqrt x))
0.4b
(/ 1.0 (* 9.0 x))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
31×add-sqr-sqrt
27×*-un-lft-identity
25×add-cube-cbrt
21×prod-diff
16×add-cbrt-cube add-exp-log
15×times-frac
6×pow1 associate-*r* associate-/l* add-log-exp
5×div-inv
4×expm1-log1p-u cbrt-undiv div-exp sqrt-prod log1p-expm1-u
3×fma-neg associate-*l* prod-exp cbrt-unprod
2×clear-num associate-/r* frac-2neg unswap-sqr
1×sub-neg flip3-- diff-log pow-prod-down *-commutative flip-- distribute-lft-out-- difference-of-squares
Counts
4 → 110
Calls
4 calls:
14.0ms
(- 1.0 (/ 1.0 (* 9.0 x)))
14.0ms
(/ y (* 3.0 (sqrt x)))
13.0ms
(* 3.0 (sqrt x))
7.0ms
(/ 1.0 (* 9.0 x))

series198.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(- 1.0 (/ 1.0 (* 9.0 x)))
81.0ms
(/ y (* 3.0 (sqrt x)))
53.0ms
(* 3.0 (sqrt x))
19.0ms
(/ 1.0 (* 9.0 x))

simplify1.9s

Counts
122 → 122
Iterations
IterNodes
done5002
22822
1595
0242

prune547.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ (/ (pow (cbrt 1.0) 3) x) 9.0)
0.3b
(/ (/ (pow (cbrt 1.0) 3) x) 9.0)
0.3b
(/ y (* 3.0 (sqrt x)))
0.3b
(* 3.0 (sqrt x))

rewrite155.0ms

Algorithm
rewrite-expression-head
Rules
783×times-frac
403×add-sqr-sqrt
399×*-un-lft-identity add-cube-cbrt
144×cbrt-prod unpow-prod-down cube-prod
119×associate-/l*
31×add-exp-log
24×cube-mult unpow3 sqr-pow
21×add-cbrt-cube
16×div-exp
11×div-inv
8×cbrt-undiv
7×associate-/r*
6×pow1 associate-*r*
4×expm1-log1p-u sqrt-prod log1p-expm1-u add-log-exp
3×clear-num frac-2neg associate-*l*
2×pow-to-exp pow-exp prod-exp cbrt-unprod unswap-sqr associate-/l/
1×pow-prod-down *-commutative
Counts
4 → 555
Calls
4 calls:
37.0ms
(/ (/ (pow (cbrt 1.0) 3) x) 9.0)
38.0ms
(/ (/ (pow (cbrt 1.0) 3) x) 9.0)
13.0ms
(/ y (* 3.0 (sqrt x)))
11.0ms
(* 3.0 (sqrt x))

series150.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(/ (/ (pow (cbrt 1.0) 3) x) 9.0)
20.0ms
(/ (/ (pow (cbrt 1.0) 3) x) 9.0)
63.0ms
(/ y (* 3.0 (sqrt x)))
41.0ms
(* 3.0 (sqrt x))

simplify605.0ms

Counts
567 → 567
Iterations
IterNodes
done5001
11213
0478

prune2.6s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

localize57.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ (/ (pow (cbrt 1.0) 3) x) 9.0)
0.3b
(/ (/ (pow (cbrt 1.0) 3) x) 9.0)
0.3b
(/ (/ (pow (cbrt 1.0) 3) x) 9.0)
0.3b
(/ (/ 1 (sqrt x)) 3.0)

rewrite210.0ms

Algorithm
rewrite-expression-head
Rules
1308×times-frac
664×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
216×cbrt-prod unpow-prod-down cube-prod
196×associate-/l*
43×add-exp-log
36×cube-mult unpow3 sqrt-prod sqr-pow
27×div-exp
24×add-cbrt-cube
20×div-inv
12×cbrt-undiv associate-/r*
4×expm1-log1p-u pow1 clear-num frac-2neg log1p-expm1-u add-log-exp associate-/l/
3×pow-to-exp pow-exp
1×rec-exp 1-exp
Counts
4 → 872
Calls
4 calls:
41.0ms
(/ (/ (pow (cbrt 1.0) 3) x) 9.0)
45.0ms
(/ (/ (pow (cbrt 1.0) 3) x) 9.0)
25.0ms
(/ (/ (pow (cbrt 1.0) 3) x) 9.0)
23.0ms
(/ (/ 1 (sqrt x)) 3.0)

series139.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(/ (/ (pow (cbrt 1.0) 3) x) 9.0)
23.0ms
(/ (/ (pow (cbrt 1.0) 3) x) 9.0)
28.0ms
(/ (/ (pow (cbrt 1.0) 3) x) 9.0)
57.0ms
(/ (/ 1 (sqrt x)) 3.0)

simplify655.0ms

Counts
884 → 884
Iterations
IterNodes
done5000
11450
0569

prune4.0s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b
(- 1.0 (/ 1.0 (* 9.0 x)))
0.4b
(/ (/ y 3.0) (sqrt x))
0.4b
(/ 1.0 (* 9.0 x))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
153×times-frac
98×add-sqr-sqrt *-un-lft-identity
96×add-cube-cbrt
42×sqrt-prod
21×prod-diff
16×associate-/l*
13×add-cbrt-cube add-exp-log
12×div-inv
7×associate-/r*
5×cbrt-undiv div-exp add-log-exp
3×expm1-log1p-u pow1 fma-neg log1p-expm1-u
2×clear-num frac-2neg
1×sub-neg flip3-- diff-log prod-exp cbrt-unprod flip-- distribute-lft-out-- difference-of-squares associate-/l/
Counts
3 → 177
Calls
3 calls:
16.0ms
(- 1.0 (/ 1.0 (* 9.0 x)))
12.0ms
(/ (/ y 3.0) (sqrt x))
10.0ms
(/ 1.0 (* 9.0 x))

series170.0ms

Counts
3 → 9
Calls
3 calls:
56.0ms
(- 1.0 (/ 1.0 (* 9.0 x)))
83.0ms
(/ (/ y 3.0) (sqrt x))
31.0ms
(/ 1.0 (* 9.0 x))

simplify1.7s

Counts
186 → 186
Iterations
IterNodes
done5000
24088
1856
0350

prune853.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

regimes184.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done13
113
012

end0.0ms

sample2.0s

Algorithm
intervals
Results
1.0s8503×body80valid
499.0ms8406×body80nan