Details

Time bar (total: 6.7s)

sample40.0ms

Algorithm
intervals
Results
10.0ms276×body80nan
10.0ms256×body80valid

simplify7.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056
176
2116
done116

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(- 1.0 (* x x))
0.0b
(sqrt (- 1.0 (* x x)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×sqrt-prod add-log-exp
3×pow1 add-cube-cbrt *-un-lft-identity
2×add-exp-log flip3-- sqrt-div add-cbrt-cube flip-- difference-of-squares
1×sub-neg rem-sqrt-square sqrt-pow1 pow1/2 diff-log
Counts
2 → 29
Calls
2 calls:
10.0ms
(- 1.0 (* x x))
10.0ms
(sqrt (- 1.0 (* x x)))

series143.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(- 1.0 (* x x))
97.0ms
(sqrt (- 1.0 (* x x)))

simplify1.5s

Counts
35 → 35
Iterations

Useful iterations: done (1.5s)

IterNodesCost
076386
1168351
2467325
31617319
done5001316

prune90.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(- 1.0 (pow x 2))
0.0b
(sqrt (- 1.0 (pow x 2)))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
8×sqrt-prod difference-of-squares
7×*-un-lft-identity
4×add-log-exp
3×pow1 add-cube-cbrt
2×add-exp-log unpow-prod-down flip3-- sqrt-div add-cbrt-cube flip-- distribute-lft-out-- unpow2 sqr-pow
1×sub-neg rem-sqrt-square sqrt-pow1 pow1/2 diff-log
Counts
2 → 37
Calls
2 calls:
10.0ms
(- 1.0 (pow x 2))
18.0ms
(sqrt (- 1.0 (pow x 2)))

series147.0ms

Counts
2 → 6
Calls
2 calls:
52.0ms
(- 1.0 (pow x 2))
95.0ms
(sqrt (- 1.0 (pow x 2)))

simplify1.2s

Counts
43 → 43
Iterations

Useful iterations: done (1.2s)

IterNodesCost
091493
1189449
2453399
31569389
done5001386

prune123.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 1 expressions with local error:

0.0b
(* (/ (pow x 2) (sqrt 1.0)) (- -1/2 (* (/ (pow x 2) 1.0) 1/8)))

rewrite77.0ms

Algorithm
rewrite-expression-head
Rules
56×times-frac
53×add-sqr-sqrt
52×associate-*l*
31×add-cube-cbrt *-un-lft-identity
28×sqrt-prod
20×unpow-prod-down
11×add-exp-log
9×unswap-sqr
8×unpow2 sqr-pow
6×add-cbrt-cube
4×prod-exp
3×pow1 div-exp associate-*r*
2×distribute-rgt-in frac-times sub-neg flip3-- distribute-lft-in associate-*r/ flip-- cbrt-unprod
1×cbrt-undiv pow-to-exp pow-prod-down associate-*l/ pow-exp *-commutative div-inv add-log-exp
Counts
1 → 88
Calls
1 calls:
67.0ms
(* (/ (pow x 2) (sqrt 1.0)) (- -1/2 (* (/ (pow x 2) 1.0) 1/8)))

series319.0ms

Counts
1 → 3
Calls
1 calls:
319.0ms
(* (/ (pow x 2) (sqrt 1.0)) (- -1/2 (* (/ (pow x 2) 1.0) 1/8)))

simplify1.1s

Counts
91 → 91
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01571923
14001860
213151704
done50001678

prune413.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes21.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
066
done66

end0.0ms

sample1.4s

Algorithm
intervals
Results
741.0ms7937×body80nan
277.0ms8000×body80valid