Details

Time bar (total: 15.5s)

sample29.0ms

Algorithm
intervals
Results
16.0ms365×body80valid

simplify20.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1129
2209
3399
4439
done439

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* (+ (* x y) z) y) t)
0.0b
(+ (* x y) z)
0.1b
(* (+ (* x y) z) y)

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt add-log-exp
5×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
3×flip3-+ associate-*r* associate-*l* flip-+
2×+-commutative associate-*l/ sum-log
1×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
3 → 42
Calls
3 calls:
15.0ms
(+ (* (+ (* x y) z) y) t)
14.0ms
(+ (* x y) z)
28.0ms
(* (+ (* x y) z) y)

series190.0ms

Counts
3 → 9
Calls
3 calls:
100.0ms
(+ (* (+ (* x y) z) y) t)
36.0ms
(+ (* x y) z)
54.0ms
(* (+ (* x y) z) y)

simplify1.9s

Counts
51 → 51
Iterations

Useful iterations: 3 (781.0ms)

IterNodesCost
080569
1208546
2645494
32193486
done5000486

prune202.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* (+ (* x y) z) y)) (cbrt (* (+ (* x y) z) y)))
6.9b
(cbrt (* (+ (* x y) z) y))
6.9b
(cbrt (* (+ (* x y) z) y))
6.9b
(cbrt (* (+ (* x y) z) y))

rewrite121.0ms

Algorithm
rewrite-expression-head
Rules
20×associate-*l/
18×cbrt-div
11×pow1
10×add-sqr-sqrt
9×flip3-+ pow1/3 flip-+
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×frac-times swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
2×associate-*r/ pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 72
Calls
4 calls:
71.0ms
(* (cbrt (* (+ (* x y) z) y)) (cbrt (* (+ (* x y) z) y)))
10.0ms
(cbrt (* (+ (* x y) z) y))
18.0ms
(cbrt (* (+ (* x y) z) y))
18.0ms
(cbrt (* (+ (* x y) z) y))

series796.0ms

Counts
4 → 12
Calls
4 calls:
206.0ms
(* (cbrt (* (+ (* x y) z) y)) (cbrt (* (+ (* x y) z) y)))
159.0ms
(cbrt (* (+ (* x y) z) y))
206.0ms
(cbrt (* (+ (* x y) z) y))
225.0ms
(cbrt (* (+ (* x y) z) y))

simplify2.0s

Counts
84 → 84
Iterations

Useful iterations: done (2.0s)

IterNodesCost
01521616
13531501
28941378
321761229
done50011171

prune398.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt (+ (* x y) z))
6.9b
(cbrt (* (+ (* x y) z) y))
6.9b
(cbrt (* (+ (* x y) z) y))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
8×cbrt-prod
6×add-sqr-sqrt add-cube-cbrt cbrt-div *-un-lft-identity
4×pow1 add-exp-log pow1/3 associate-*l/ add-cbrt-cube add-log-exp
3×flip3-+ flip-+
Counts
4 → 46
Calls
4 calls:
2.0ms
(cbrt y)
15.0ms
(cbrt (+ (* x y) z))
10.0ms
(cbrt (* (+ (* x y) z) y))
10.0ms
(cbrt (* (+ (* x y) z) y))

series867.0ms

Counts
4 → 12
Calls
4 calls:
291.0ms
(cbrt y)
159.0ms
(cbrt (+ (* x y) z))
188.0ms
(cbrt (* (+ (* x y) z) y))
229.0ms
(cbrt (* (+ (* x y) z) y))

simplify3.7s

Counts
58 → 58
Iterations

Useful iterations: done (3.7s)

IterNodesCost
0123711
1281692
2663639
31608588
44183563
done5001557

prune418.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt (+ (* x y) z))
0.6b
(cbrt (+ (* x y) z))
6.9b
(cbrt (* (+ (* x y) z) y))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
10×cbrt-prod
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×cbrt-div
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
3×flip3-+ flip-+
2×associate-*l/
Counts
4 → 48
Calls
4 calls:
1.0ms
(cbrt y)
6.0ms
(cbrt (+ (* x y) z))
6.0ms
(cbrt (+ (* x y) z))
10.0ms
(cbrt (* (+ (* x y) z) y))

series740.0ms

Counts
4 → 12
Calls
4 calls:
239.0ms
(cbrt y)
178.0ms
(cbrt (+ (* x y) z))
166.0ms
(cbrt (+ (* x y) z))
157.0ms
(cbrt (* (+ (* x y) z) y))

simplify3.4s

Counts
60 → 60
Iterations

Useful iterations: done (3.4s)

IterNodesCost
0123688
1281666
2663617
31608578
44183555
done5001549

prune405.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes6.0ms