Details

Time bar (total: 15.7s)

sample29.0ms

Algorithm
intervals
Results
15.0ms331×body80valid

simplify45.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1107
2237
3387
4447
done447

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 1 expressions with local error:

0.1b
(* x (- 1.0 (* x y)))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt
3×pow1 add-exp-log add-cube-cbrt *-un-lft-identity associate-*r* associate-*l* add-cbrt-cube
2×distribute-rgt-in sub-neg distribute-lft-in associate-*r/
1×flip3-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod add-log-exp unswap-sqr
Counts
1 → 24
Calls
1 calls:
47.0ms
(* x (- 1.0 (* x y)))

series57.0ms

Counts
1 → 3
Calls
1 calls:
57.0ms
(* x (- 1.0 (* x y)))

simplify2.3s

Counts
27 → 27
Iterations

Useful iterations: 2 (105.0ms)

IterNodesCost
051273
1122270
2332236
31181236
done5000236

prune91.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt x) (cbrt x))
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
12.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
2.0ms
(cbrt x)

series1.3s

Counts
4 → 12
Calls
4 calls:
326.0ms
(* (cbrt x) (cbrt x))
316.0ms
(cbrt x)
328.0ms
(cbrt x)
301.0ms
(cbrt x)

simplify5.1s

Counts
85 → 85
Iterations

Useful iterations: done (5.1s)

IterNodesCost
061524
1115417
2319397
31092379
44427374
done5001364

prune259.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b
(* x (- (* 1.0 1.0) (* (* x y) (* x y))))
0.3b
(* (* x y) (* x y))
8.4b
(/ (* x (- (* 1.0 1.0) (* (* x y) (* x y)))) (+ 1.0 (* x y)))

rewrite126.0ms

Algorithm
rewrite-expression-head
Rules
44×pow1
22×add-exp-log add-cbrt-cube
18×pow-prod-down
10×prod-exp cbrt-unprod
9×add-sqr-sqrt
7×add-cube-cbrt *-un-lft-identity
5×associate-*r*
4×associate-*r/ associate-*l* pow-sqr pow-prod-up
3×times-frac associate-/r* add-log-exp
2×cbrt-undiv distribute-rgt-in sub-neg flip3-- distribute-lft-in pow-plus div-exp associate-/r/ *-commutative flip-- associate-/l/
1×pow2 frac-2neg flip3-+ swap-sqr clear-num flip-+ div-inv associate-/l* difference-of-squares unswap-sqr
Counts
3 → 84
Calls
3 calls:
53.0ms
(* x (- (* 1.0 1.0) (* (* x y) (* x y))))
27.0ms
(* (* x y) (* x y))
40.0ms
(/ (* x (- (* 1.0 1.0) (* (* x y) (* x y)))) (+ 1.0 (* x y)))

series298.0ms

Counts
3 → 9
Calls
3 calls:
96.0ms
(* x (- (* 1.0 1.0) (* (* x y) (* x y))))
59.0ms
(* (* x y) (* x y))
142.0ms
(/ (* x (- (* 1.0 1.0) (* (* x y) (* x y)))) (+ 1.0 (* x y)))

simplify1.3s

Counts
93 → 93
Iterations

Useful iterations: done (1.3s)

IterNodesCost
01311465
13671337
215051085
done5001941

prune248.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (+ 1.0 (* x y)))
0.3b
(* (* x y) (* x y))
1.0b
(/ (- (* 1.0 1.0) (* (* x y) (* x y))) (cbrt (+ 1.0 (* x y))))
3.6b
(* (/ x (* (cbrt (+ 1.0 (* x y))) (cbrt (+ 1.0 (* x y))))) (/ (- (* 1.0 1.0) (* (* x y) (* x y))) (cbrt (+ 1.0 (* x y)))))

rewrite238.0ms

Algorithm
rewrite-expression-head
Rules
58×times-frac
55×add-sqr-sqrt
45×pow1
39×add-exp-log add-cube-cbrt *-un-lft-identity
32×cbrt-prod
31×associate-*r* add-cbrt-cube
18×cbrt-div pow-prod-down
16×associate-*l* prod-exp cbrt-unprod
13×difference-of-squares
12×associate-/r/
9×flip3-+ flip-+
8×cbrt-undiv div-exp
6×associate-/r* unswap-sqr
5×frac-times
4×pow-sqr pow-prod-up associate-/l* add-log-exp
3×associate-*r/ associate-*l/ div-inv
2×pow-plus *-commutative associate-/l/
1×pow2 flip3-- frac-2neg pow1/3 div-sub swap-sqr clear-num flip--
Counts
4 → 173
Calls
4 calls:
6.0ms
(cbrt (+ 1.0 (* x y)))
45.0ms
(* (* x y) (* x y))
36.0ms
(/ (- (* 1.0 1.0) (* (* x y) (* x y))) (cbrt (+ 1.0 (* x y))))
140.0ms
(* (/ x (* (cbrt (+ 1.0 (* x y))) (cbrt (+ 1.0 (* x y))))) (/ (- (* 1.0 1.0) (* (* x y) (* x y))) (cbrt (+ 1.0 (* x y)))))

series892.0ms

Counts
4 → 12
Calls
4 calls:
342.0ms
(cbrt (+ 1.0 (* x y)))
68.0ms
(* (* x y) (* x y))
364.0ms
(/ (- (* 1.0 1.0) (* (* x y) (* x y))) (cbrt (+ 1.0 (* x y))))
117.0ms
(* (/ x (* (cbrt (+ 1.0 (* x y))) (cbrt (+ 1.0 (* x y))))) (/ (- (* 1.0 1.0) (* (* x y) (* x y))) (cbrt (+ 1.0 (* x y)))))

simplify2.6s

Counts
185 → 185
Iterations

Useful iterations: done (2.6s)

IterNodesCost
03015458
19025221
236754495
done50004364

prune672.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes2.0ms