Details

Time bar (total: 10.4s)

sample22.0ms

Algorithm
intervals
Results
11.0ms256×body80valid

simplify4.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
187
done87

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ (+ x y) (+ y 1.0))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
31×*-un-lft-identity
16×times-frac
11×add-sqr-sqrt add-cube-cbrt
10×distribute-lft-out
4×associate-/r* associate-/l*
3×add-exp-log add-cbrt-cube
2×flip3-+ associate-/r/ flip-+ associate-/l/
1×pow1 cbrt-undiv expm1-log1p-u frac-2neg div-exp clear-num log1p-expm1-u div-inv add-log-exp
Counts
1 → 42
Calls
1 calls:
32.0ms
(/ (+ x y) (+ y 1.0))

series60.0ms

Counts
1 → 3
Calls
1 calls:
60.0ms
(/ (+ x y) (+ y 1.0))

simplify3.0s

Counts
45 → 45
Iterations

Useful iterations: 2 (111.0ms)

IterNodesCost
080552
1198526
2555492
31313492
43872492
done5000492

prune108.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1 (+ y 1.0))
0.1b
(* (+ x y) (/ 1 (+ y 1.0)))

rewrite92.0ms

Algorithm
rewrite-expression-head
Rules
37×*-un-lft-identity
27×add-sqr-sqrt
26×times-frac
20×add-cube-cbrt
18×associate-*r*
15×add-exp-log
9×add-cbrt-cube
8×distribute-lft-out
5×pow1
4×flip3-+ div-exp associate-*l* prod-exp associate-/r* associate-/r/ flip-+
3×associate-/l* unswap-sqr
2×cbrt-undiv expm1-log1p-u frac-times rec-exp 1-exp associate-*l/ cbrt-unprod log1p-expm1-u div-inv add-log-exp
1×pow-flip frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv *-commutative inv-pow
Counts
2 → 87
Calls
2 calls:
20.0ms
(/ 1 (+ y 1.0))
66.0ms
(* (+ x y) (/ 1 (+ y 1.0)))

series90.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(/ 1 (+ y 1.0))
57.0ms
(* (+ x y) (/ 1 (+ y 1.0)))

simplify3.3s

Counts
93 → 93
Iterations

Useful iterations: done (3.3s)

IterNodesCost
01371038
1355846
21087754
32995752
done5001750

prune171.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* y y) (- (* 1.0 1.0) (* y 1.0)))
5.5b
(/ (+ x y) (+ (pow y 3) (pow 1.0 3)))
15.4b
(* (/ (+ x y) (+ (pow y 3) (pow 1.0 3))) (+ (* y y) (- (* 1.0 1.0) (* y 1.0))))

rewrite405.0ms

Algorithm
rewrite-expression-head
Rules
161×*-un-lft-identity
73×times-frac
64×distribute-lft-out
42×associate-*l*
38×add-sqr-sqrt
36×unpow-prod-down cube-prod
33×add-cube-cbrt
10×add-exp-log add-cbrt-cube
9×associate-/r* sum-cubes
8×add-log-exp
6×flip3-+ flip-+
5×pow1
4×associate-/r/ associate-/l*
3×expm1-log1p-u associate-+r+ associate-*r* log1p-expm1-u
2×cbrt-undiv frac-times associate-*r/ div-exp prod-exp sum-log cbrt-unprod div-inv associate-/l/ unswap-sqr
1×+-commutative distribute-rgt-in associate-+r- sub-neg fma-def frac-2neg distribute-lft-in diff-log prod-diff pow-prod-down associate-*l/ clear-num *-commutative
Counts
3 → 155
Calls
3 calls:
22.0ms
(+ (* y y) (- (* 1.0 1.0) (* y 1.0)))
105.0ms
(/ (+ x y) (+ (pow y 3) (pow 1.0 3)))
270.0ms
(* (/ (+ x y) (+ (pow y 3) (pow 1.0 3))) (+ (* y y) (- (* 1.0 1.0) (* y 1.0))))

series273.0ms

Counts
3 → 9
Calls
3 calls:
24.0ms
(+ (* y y) (- (* 1.0 1.0) (* y 1.0)))
85.0ms
(/ (+ x y) (+ (pow y 3) (pow 1.0 3)))
164.0ms
(* (/ (+ x y) (+ (pow y 3) (pow 1.0 3))) (+ (* y y) (- (* 1.0 1.0) (* y 1.0))))

simplify2.2s

Counts
164 → 164
Iterations

Useful iterations: 2 (624.0ms)

IterNodesCost
01873492
16203018
224992799
done50002799

prune583.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes1.0ms