Details

Time bar (total: 2.7s)

sample15.0ms

Algorithm
intervals
Results
5.0ms256×body80valid
3.0ms256×pre80true

simplify111.0ms

Counts
1 → 1

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b
(* x (+ (* x x) x))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt associate-*r*
4×*-un-lft-identity
3×pow1 add-exp-log add-cube-cbrt associate-*l* add-cbrt-cube
2×associate-*r/
1×distribute-rgt-in distribute-rgt-out distribute-lft-in distribute-lft1-in flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ add-log-exp unswap-sqr
Counts
1 → 24
Calls
1 calls:
26.0ms
(* x (+ (* x x) x))

series73.0ms

Counts
1 → 3
Calls
1 calls:
73.0ms
(* x (+ (* x x) x))

simplify53.0ms

Counts
27 → 27

prune52.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x (* x x)) (* x x))
0.1b
(* x (* x x))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
16×pow1
7×add-exp-log add-cbrt-cube
5×pow-prod-up
4×add-sqr-sqrt add-log-exp
3×add-cube-cbrt *-un-lft-identity associate-*l* pow-prod-down prod-exp cbrt-unprod
1×+-commutative pow2 distribute-lft1-in flip3-+ pow-plus cube-unmult associate-*r* sum-log pow-sqr *-commutative flip-+ distribute-lft-out unswap-sqr
Counts
2 → 37
Calls
2 calls:
26.0ms
(+ (* x (* x x)) (* x x))
24.0ms
(* x (* x x))

series111.0ms

Counts
2 → 6
Calls
2 calls:
69.0ms
(+ (* x (* x x)) (* x x))
42.0ms
(* x (* x x))

simplify76.0ms

Counts
43 → 43

prune66.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (+ x 1) (pow x 3/2))
0.2b
(* (sqrt x) (* (+ x 1) (pow x 3/2)))

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
17×add-exp-log
12×add-sqr-sqrt
10×associate-*l* prod-exp
9×*-un-lft-identity add-cbrt-cube
8×associate-*r*
7×add-cube-cbrt
4×pow1 unpow-prod-down associate-*l/ cbrt-unprod
3×sqrt-prod unswap-sqr
2×pow-to-exp flip3-+ associate-*r/ pow-exp *-commutative flip-+ add-log-exp sqr-pow
1×pow-prod-down distribute-lft-out
Counts
2 → 52
Calls
2 calls:
26.0ms
(* (+ x 1) (pow x 3/2))
43.0ms
(* (sqrt x) (* (+ x 1) (pow x 3/2)))

series149.0ms

Counts
2 → 6
Calls
2 calls:
65.0ms
(* (+ x 1) (pow x 3/2))
84.0ms
(* (sqrt x) (* (+ x 1) (pow x 3/2)))

simplify31.0ms

Counts
58 → 58

prune130.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (- (* x x) 1) (pow x 3/2))
0.0b
(/ (* (sqrt x) (* (- (* x x) 1) (pow x 3/2))) (- x 1))
0.2b
(* (sqrt x) (* (- (* x x) 1) (pow x 3/2)))

rewrite201.0ms

Algorithm
rewrite-expression-head
Rules
34×add-exp-log
24×add-sqr-sqrt
19×add-cbrt-cube
17×*-un-lft-identity prod-exp
12×associate-*l*
10×add-cube-cbrt
8×associate-*r*
7×times-frac associate-/r* cbrt-unprod
6×associate-*l/ difference-of-squares
5×pow1 div-exp
4×unpow-prod-down flip3-- associate-*r/ flip--
3×cbrt-undiv pow-to-exp difference-of-sqr-1 pow-exp sqrt-prod add-log-exp unswap-sqr
2×associate-/r/ *-commutative associate-/l/ distribute-lft-out-- sqr-pow
1×frac-2neg pow-prod-down clear-num div-inv associate-/l*
Counts
3 → 91
Calls
3 calls:
51.0ms
(* (- (* x x) 1) (pow x 3/2))
72.0ms
(/ (* (sqrt x) (* (- (* x x) 1) (pow x 3/2))) (- x 1))
73.0ms
(* (sqrt x) (* (- (* x x) 1) (pow x 3/2)))

series437.0ms

Counts
3 → 9
Calls
3 calls:
99.0ms
(* (- (* x x) 1) (pow x 3/2))
194.0ms
(/ (* (sqrt x) (* (- (* x x) 1) (pow x 3/2))) (- x 1))
144.0ms
(* (sqrt x) (* (- (* x x) 1) (pow x 3/2)))

simplify74.0ms

Counts
100 → 100

prune240.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes35.0ms

Accuracy

15.2% (0.0b remaining)

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

bsearch0.0ms

simplify137.0ms

end0.0ms

sample537.0ms

Algorithm
intervals
Results
213.0ms8000×body80valid
106.0ms8000×pre80true