Details

Time bar (total: 11.3s)

sample11.0ms

Algorithm
intervals
Results
5.0ms258×body80valid

simplify33.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055
185
2155
3235
4305
5325
done325

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b
(* 500.0 (- x y))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
18×prod-diff
17×*-un-lft-identity
15×add-cube-cbrt
11×distribute-rgt-in distribute-lft-in
5×associate-*r*
3×pow1 add-exp-log associate-*l* add-cbrt-cube
2×sub-neg associate-*r/
1×expm1-log1p-u flip3-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod log1p-expm1-u distribute-lft-out-- add-log-exp difference-of-squares unswap-sqr
Counts
1 → 46
Calls
1 calls:
31.0ms
(* 500.0 (- x y))

series54.0ms

Counts
1 → 3
Calls
1 calls:
54.0ms
(* 500.0 (- x y))

simplify1.5s

Counts
49 → 49
Iterations

Useful iterations: done (1.5s)

IterNodesCost
0102721
1192548
2415438
31732396
done5001342

prune62.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ (* 500.0 x) (* (- y) 500.0))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
3×add-log-exp
2×distribute-lft-neg-out
1×pow1 add-exp-log +-commutative add-sqr-sqrt expm1-log1p-u add-cube-cbrt fma-def *-un-lft-identity flip3-+ unsub-neg sum-log add-cbrt-cube flip-+ log1p-expm1-u
Counts
1 → 16
Calls
1 calls:
22.0ms
(+ (* 500.0 x) (* (- y) 500.0))

series61.0ms

Counts
1 → 3
Calls
1 calls:
61.0ms
(+ (* 500.0 x) (* (- y) 500.0))

simplify3.0s

Counts
19 → 19
Iterations

Useful iterations: done (3.0s)

IterNodesCost
032202
1112147
2440131
31770126
done5000124

prune64.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b
(fma 500.0 x (* (- y) 500.0))

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
0.0ms
(fma 500.0 x (* (- y) 500.0))

series62.0ms

Counts
1 → 3
Calls
1 calls:
62.0ms
(fma 500.0 x (* (- y) 500.0))

simplify1.9s

Counts
13 → 13
Iterations

Useful iterations: 2 (21.0ms)

IterNodesCost
018120
12990
27280
330580
4144580
done500180

prune53.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 500.0 (- x y))
0.1b
(sqrt (* 500.0 (- x y)))
0.1b
(sqrt (* 500.0 (- x y)))
0.3b
(* (sqrt (* 500.0 (- x y))) (sqrt (* 500.0 (- x y))))

rewrite177.0ms

Algorithm
rewrite-expression-head
Rules
61×pow1
32×sqrt-pow1
28×add-sqr-sqrt
24×*-un-lft-identity
23×pow-prod-down
22×add-cube-cbrt
20×associate-*r/
18×prod-diff
16×sqrt-div
12×pow1/2
11×distribute-rgt-in distribute-lft-in
10×pow-prod-up
9×flip3-- associate-*r* flip--
8×add-exp-log add-cbrt-cube
7×associate-*l*
6×sqrt-prod pow-sqr
4×expm1-log1p-u frac-times swap-sqr log1p-expm1-u add-log-exp
2×sub-neg associate-*l/ prod-exp *-commutative cbrt-unprod unswap-sqr
1×pow2 pow-plus sqrt-unprod rem-square-sqrt distribute-lft-out-- difference-of-squares
Counts
4 → 135
Calls
4 calls:
38.0ms
(* 500.0 (- x y))
36.0ms
(sqrt (* 500.0 (- x y)))
18.0ms
(sqrt (* 500.0 (- x y)))
80.0ms
(* (sqrt (* 500.0 (- x y))) (sqrt (* 500.0 (- x y))))

series685.0ms

Counts
4 → 12
Calls
4 calls:
57.0ms
(* 500.0 (- x y))
215.0ms
(sqrt (* 500.0 (- x y)))
246.0ms
(sqrt (* 500.0 (- x y)))
165.0ms
(* (sqrt (* 500.0 (- x y))) (sqrt (* 500.0 (- x y))))

simplify3.2s

Counts
147 → 147
Iterations

Useful iterations: 3 (1.3s)

IterNodesCost
01922029
13701468
29551292
340631184
done50001184

prune330.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes0.0ms