Details

Time bar (total: 9.2s)

sample176.0ms

Algorithm
intervals
Results
24.0ms256×body80valid
17.0ms208×body80nan

simplify35.0ms

Counts
1 → 1
Iterations
IterNodes
done23
323
221
118
09

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 2 expressions with local error:

0.0b
(atan (sqrt (/ (- 1 x) (+ 1 x))))
0.0b
(/ (- 1 x) (+ 1 x))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
43×*-un-lft-identity
29×add-sqr-sqrt
24×times-frac
14×add-cube-cbrt
10×difference-of-squares
7×distribute-lft-out
6×associate-/l*
5×distribute-lft-out--
4×associate-/r* add-cbrt-cube add-exp-log
2×pow1 associate-/r/ insert-posit16 add-log-exp associate-/l/
1×cbrt-undiv clear-num frac-2neg flip3-+ flip3-- div-sub div-exp flip-+ div-inv flip--
Counts
2 → 60
Calls
2 calls:
1.0ms
(atan (sqrt (/ (- 1 x) (+ 1 x))))
41.0ms
(/ (- 1 x) (+ 1 x))

series38.0ms

Counts
2 → 6
Calls
2 calls:
3.0ms
(atan (sqrt (/ (- 1 x) (+ 1 x))))
34.0ms
(/ (- 1 x) (+ 1 x))

simplify1.7s

Counts
66 → 66
Iterations
IterNodes
done5005
32196
2643
1253
0110

prune254.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b
(atan (sqrt (/ (- (* 1 1) (* x x)) (* (+ 1 x) (+ 1 x)))))
0.0b
(/ (- (* 1 1) (* x x)) (* (+ 1 x) (+ 1 x)))
0.0b
(* (+ 1 x) (+ 1 x))

rewrite138.0ms

Algorithm
rewrite-expression-head
Rules
23×*-un-lft-identity
12×flip3-+ flip-+
11×add-sqr-sqrt
10×pow1 add-cbrt-cube add-exp-log
9×add-cube-cbrt
8×frac-times associate-/r/
6×swap-sqr distribute-lft-out
4×times-frac associate-*r* associate-*l* associate-*l/ associate-*r/ associate-/l*
3×insert-posit16 add-log-exp
2×cbrt-undiv div-exp prod-exp cbrt-unprod difference-of-squares associate-/l/
1×pow2 distribute-rgt-in clear-num associate-/r* frac-2neg distribute-lft-in pow-plus flip3-- div-sub pow-prod-down pow-sqr *-commutative pow-prod-up div-inv flip-- unswap-sqr
Counts
3 → 84
Calls
3 calls:
1.0ms
(atan (sqrt (/ (- (* 1 1) (* x x)) (* (+ 1 x) (+ 1 x)))))
69.0ms
(/ (- (* 1 1) (* x x)) (* (+ 1 x) (+ 1 x)))
63.0ms
(* (+ 1 x) (+ 1 x))

series68.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(atan (sqrt (/ (- (* 1 1) (* x x)) (* (+ 1 x) (+ 1 x)))))
40.0ms
(/ (- (* 1 1) (* x x)) (* (+ 1 x) (+ 1 x)))
23.0ms
(* (+ 1 x) (+ 1 x))

simplify1.5s

Counts
93 → 93
Iterations
IterNodes
done5002
21508
1457
0133

prune386.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize51.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (+ 1 x) (* (+ 1 x) x))
0.0b
(atan (sqrt (/ (- (* 1 1) (* x x)) (+ (+ 1 x) (* (+ 1 x) x)))))
0.0b
(* (+ 1 x) x)
0.0b
(/ (- (* 1 1) (* x x)) (+ (+ 1 x) (* (+ 1 x) x)))

rewrite157.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt *-un-lft-identity
15×add-cube-cbrt
12×times-frac
11×flip3-+ flip-+
10×associate-*l/
9×add-log-exp
8×add-cbrt-cube frac-add add-exp-log
6×pow1 associate-/r/
4×associate-*l* insert-posit16 associate-/l* difference-of-squares
3×associate-/r* sum-log associate-*r*
2×associate-/l/
1×cbrt-undiv +-commutative associate-+l+ clear-num frac-2neg flip3-- div-sub div-exp pow-prod-down prod-exp *-commutative cbrt-unprod div-inv flip-- distribute-lft-out unswap-sqr
Counts
4 → 89
Calls
4 calls:
52.0ms
(+ (+ 1 x) (* (+ 1 x) x))
1.0ms
(atan (sqrt (/ (- (* 1 1) (* x x)) (+ (+ 1 x) (* (+ 1 x) x)))))
19.0ms
(* (+ 1 x) x)
80.0ms
(/ (- (* 1 1) (* x x)) (+ (+ 1 x) (* (+ 1 x) x)))

series185.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(+ (+ 1 x) (* (+ 1 x) x))
10.0ms
(atan (sqrt (/ (- (* 1 1) (* x x)) (+ (+ 1 x) (* (+ 1 x) x)))))
72.0ms
(* (+ 1 x) x)
71.0ms
(/ (- (* 1 1) (* x x)) (+ (+ 1 x) (* (+ 1 x) x)))

simplify1.8s

Counts
101 → 101
Iterations
IterNodes
done5001
21742
1485
0175

prune568.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes27.0ms

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
done19
119
013

end0.0ms

sample2.0s

Algorithm
intervals
Results
1.0s8071×body80nan
734.0ms8000×body80valid