Details

Time bar (total: 8.4s)

sample30.0ms

Algorithm
intervals
Results
8.0ms271×body80nan
7.0ms256×body80valid

simplify6.0ms

Counts
1 → 1
Iterations
IterNodes
done11
211
17
05

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×sqrt-prod add-log-exp
3×pow1 *-un-lft-identity add-cube-cbrt
2×flip3-- add-cbrt-cube sqrt-div add-exp-log flip-- difference-of-squares
1×rem-sqrt-square sub-neg sqrt-pow1 pow1/2 diff-log
Counts
2 → 29
Calls
2 calls:
5.0ms
(- 1.0 (* x x))
6.0ms
(sqrt (- 1.0 (* x x)))

series132.0ms

Counts
2 → 6
Calls
2 calls:
56.0ms
(- 1.0 (* x x))
75.0ms
(sqrt (- 1.0 (* x x)))

simplify1.5s

Counts
35 → 35
Iterations
IterNodes
done5001
32110
2523
1176
076

prune107.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (* x x) (+ (* x x) 1.0))
0.1b
(* (* (* x x) x) (* (* x x) x))
0.1b
(* (* x x) x)
0.1b
(* (* x x) x)

rewrite205.0ms

Algorithm
rewrite-expression-head
Rules
589×pow1
290×pow-prod-up
203×pow-plus
100×pow-prod-down
90×pow-sqr
57×pow2
55×add-cbrt-cube add-exp-log
36×prod-exp cbrt-unprod
24×pow3
10×add-sqr-sqrt associate-*r*
7×*-un-lft-identity add-cube-cbrt
4×associate-*l* *-commutative add-log-exp
3×unswap-sqr
2×associate-*r/
1×distribute-rgt-in distribute-lft-in flip3-+ swap-sqr flip-+
Counts
4 → 270
Calls
4 calls:
53.0ms
(* (* x x) (+ (* x x) 1.0))
95.0ms
(* (* (* x x) x) (* (* x x) x))
18.0ms
(* (* x x) x)
14.0ms
(* (* x x) x)

series269.0ms

Counts
4 → 12
Calls
4 calls:
106.0ms
(* (* x x) (+ (* x x) 1.0))
65.0ms
(* (* (* x x) x) (* (* x x) x))
53.0ms
(* (* x x) x)
44.0ms
(* (* x x) x)

simplify1.5s

Counts
282 → 282
Iterations
IterNodes
done5000
21506
1385
0116

prune359.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite167.0ms

Algorithm
rewrite-expression-head
Rules
88×frac-times
87×flip3-- flip--
52×cbrt-div
44×associate-*l/
31×pow1
26×sqrt-div associate-*r/
19×add-sqr-sqrt
11×add-cbrt-cube add-exp-log
10×*-un-lft-identity add-cube-cbrt
8×associate-*r*
7×pow-plus pow-prod-up
5×associate-*l* difference-of-squares
4×distribute-rgt-in sub-neg distribute-lft-in swap-sqr pow-prod-down prod-exp sqrt-prod cbrt-unprod add-log-exp
3×pow2 pow-sqr
2×cbrt-prod sqrt-pow1 pow1/3 pow3 *-commutative unswap-sqr
1×rem-sqrt-square pow1/2 rem-cbrt-cube
Counts
4 → 176
Calls
4 calls:
81.0ms
(* (* (- 1.0 (* x x)) (- 1.0 (* x x))) (- 1.0 (* x x)))
35.0ms
(cbrt (* (* (- 1.0 (* x x)) (- 1.0 (* x x))) (- 1.0 (* x x))))
11.0ms
(sqrt (cbrt (* (* (- 1.0 (* x x)) (- 1.0 (* x x))) (- 1.0 (* x x)))))
26.0ms
(* (- 1.0 (* x x)) (- 1.0 (* x x)))

series265.0ms

Counts
4 → 12
Calls
4 calls:
67.0ms
(* (* (- 1.0 (* x x)) (- 1.0 (* x x))) (- 1.0 (* x x)))
47.0ms
(cbrt (* (* (- 1.0 (* x x)) (- 1.0 (* x x))) (- 1.0 (* x x))))
77.0ms
(sqrt (cbrt (* (* (- 1.0 (* x x)) (- 1.0 (* x x))) (- 1.0 (* x x)))))
74.0ms
(* (- 1.0 (* x x)) (- 1.0 (* x x)))

simplify1.7s

Counts
188 → 188
Iterations
IterNodes
done5004
22107
1642
0262

prune638.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes85.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done18
118
013

end0.0ms

sample1.3s

Algorithm
intervals
Results
718.0ms8000×body80valid
276.0ms8157×body80nan