Details

Time bar (total: 14.3s)

sample22.0ms

Algorithm
intervals
Results
12.0ms256×body80valid

simplify7.0ms

Counts
1 → 1
Iterations
IterNodes
done9
29
18
05

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ (+ x y) (- x y))

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity
22×add-sqr-sqrt
20×times-frac
12×add-cube-cbrt
6×distribute-lft-out
5×associate-/r* distribute-lft-out-- difference-of-squares
4×associate-/l*
3×add-cbrt-cube add-exp-log
2×associate-/r/ associate-/l/
1×expm1-log1p-u pow1 cbrt-undiv clear-num frac-2neg flip3-+ flip3-- div-exp flip-+ insert-posit16 log1p-expm1-u div-inv flip-- add-log-exp
Counts
1 → 48
Calls
1 calls:
57.0ms
(/ (+ x y) (- x y))

series100.0ms

Counts
1 → 3
Calls
1 calls:
100.0ms
(/ (+ x y) (- x y))

simplify1.6s

Counts
51 → 51
Iterations
IterNodes
done5000
31702
2486
1181
079

prune207.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1 (/ (- x y) (+ x y)))
0.0b
(/ (- x y) (+ x y))

rewrite103.0ms

Algorithm
rewrite-expression-head
Rules
178×times-frac
174×*-un-lft-identity
122×add-sqr-sqrt
80×add-cube-cbrt
30×associate-/r*
26×distribute-lft-out
21×distribute-lft-out-- difference-of-squares
15×add-exp-log
11×associate-/r/
9×add-cbrt-cube
8×div-exp associate-/l*
6×div-inv
5×flip3-+ flip-+
4×cbrt-undiv
3×pow1
2×expm1-log1p-u rec-exp clear-num frac-2neg 1-exp insert-posit16 log1p-expm1-u add-log-exp associate-/l/
1×flip3-- div-sub pow-flip flip-- inv-pow
Counts
2 → 180
Calls
2 calls:
45.0ms
(/ 1 (/ (- x y) (+ x y)))
44.0ms
(/ (- x y) (+ x y))

series145.0ms

Counts
2 → 6
Calls
2 calls:
70.0ms
(/ 1 (/ (- x y) (+ x y)))
75.0ms
(/ (- x y) (+ x y))

simplify1.4s

Counts
186 → 186
Iterations
IterNodes
done5001
21576
1557
0211

prune525.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b
(log1p (expm1 (/ (+ x y) (- x y))))
0.0b
(/ (+ x y) (- x y))
0.5b
(expm1 (/ (+ x y) (- x y)))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
36×*-un-lft-identity
24×add-sqr-sqrt
20×times-frac
14×add-cube-cbrt
6×distribute-lft-out
5×associate-/r* add-cbrt-cube add-exp-log distribute-lft-out-- difference-of-squares
4×log1p-expm1-u associate-/l*
3×expm1-log1p-u pow1 insert-posit16 add-log-exp
2×associate-/r/ associate-/l/
1×cbrt-undiv log1p-udef expm1-log1p clear-num frac-2neg flip3-+ flip3-- div-exp log1p-expm1 flip-+ div-inv flip-- expm1-udef
Counts
3 → 72
Calls
3 calls:
0.0ms
(log1p (expm1 (/ (+ x y) (- x y))))
32.0ms
(/ (+ x y) (- x y))
0.0ms
(expm1 (/ (+ x y) (- x y)))

series338.0ms

Counts
3 → 9
Calls
3 calls:
149.0ms
(log1p (expm1 (/ (+ x y) (- x y))))
81.0ms
(/ (+ x y) (- x y))
107.0ms
(expm1 (/ (+ x y) (- x y)))

simplify1.6s

Counts
81 → 81
Iterations
IterNodes
done5001
31730
2528
1216
0104

prune339.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- x y) (+ x y))
0.0b
(/ (/ 1 (* (cbrt (/ (- x y) (+ x y))) (cbrt (/ (- x y) (+ x y))))) (cbrt (/ (- x y) (+ x y))))
0.0b
(/ 1 (* (cbrt (/ (- x y) (+ x y))) (cbrt (/ (- x y) (+ x y)))))
0.0b
(* (cbrt (/ (- x y) (+ x y))) (cbrt (/ (- x y) (+ x y))))

rewrite336.0ms

Algorithm
rewrite-expression-head
Rules
753×times-frac
636×*-un-lft-identity
446×cbrt-prod
412×add-sqr-sqrt
250×add-cube-cbrt
129×cbrt-div
126×associate-/r/
99×distribute-lft-out
81×distribute-lft-out--
69×difference-of-squares
51×swap-sqr
48×div-inv
38×add-exp-log
34×associate-/r*
32×frac-times associate-*l/ associate-*r/
29×associate-*r* associate-*l*
28×pow1
18×pow1/3 associate-/l*
16×flip3-+ div-exp flip-+
15×pow-flip
13×add-cbrt-cube
9×unswap-sqr
8×cbrt-undiv
7×prod-exp
6×pow-sqr pow-prod-up pow-div
4×expm1-log1p-u rec-exp 1-exp pow-prod-down insert-posit16 log1p-expm1-u add-log-exp
3×pow2 clear-num frac-2neg pow-plus cbrt-unprod associate-/l/
1×flip3-- div-sub *-commutative flip-- inv-pow
Counts
4 → 592
Calls
4 calls:
24.0ms
(/ (- x y) (+ x y))
95.0ms
(/ (/ 1 (* (cbrt (/ (- x y) (+ x y))) (cbrt (/ (- x y) (+ x y))))) (cbrt (/ (- x y) (+ x y))))
59.0ms
(/ 1 (* (cbrt (/ (- x y) (+ x y))) (cbrt (/ (- x y) (+ x y)))))
99.0ms
(* (cbrt (/ (- x y) (+ x y))) (cbrt (/ (- x y) (+ x y))))

series600.0ms

Counts
4 → 12
Calls
4 calls:
78.0ms
(/ (- x y) (+ x y))
111.0ms
(/ (/ 1 (* (cbrt (/ (- x y) (+ x y))) (cbrt (/ (- x y) (+ x y))))) (cbrt (/ (- x y) (+ x y))))
226.0ms
(/ 1 (* (cbrt (/ (- x y) (+ x y))) (cbrt (/ (- x y) (+ x y)))))
185.0ms
(* (cbrt (/ (- x y) (+ x y))) (cbrt (/ (- x y) (+ x y))))

simplify3.3s

Counts
604 → 604
Iterations
IterNodes
done5014
23996
11436
0624

prune2.7s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes91.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done8
18
07

end0.0ms

sample552.0ms

Algorithm
intervals
Results
397.0ms8000×body80valid