Details

Time bar (total: 23.2s)

sample40.0ms

Algorithm
intervals
Results
20.0ms304×body80valid

simplify6.2s

Counts
1 → 1
Iterations

Useful iterations: 3 (30.0ms)

IterNodesCost
089
1169
2427
3995
43865
517055
done50015

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 7.6b

localize9.0ms

Local error

Found 1 expressions with local error:

7.4b
(* (/ y z) x)

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
13×associate-*l*
10×times-frac
9×add-cube-cbrt *-un-lft-identity
6×add-exp-log add-cbrt-cube
3×pow1 associate-*r*
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv expm1-log1p-u div-exp pow-prod-down associate-*l/ *-commutative log1p-expm1-u div-inv add-log-exp
Counts
1 → 34
Calls
1 calls:
29.0ms
(* (/ y z) x)

series40.0ms

Counts
1 → 3
Calls
1 calls:
40.0ms
(* (/ y z) x)

simplify6.5s

Counts
37 → 37
Iterations

Useful iterations: 2 (94.0ms)

IterNodesCost
070273
1155268
2427236
31211236
43623236
done5000236

prune118.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)
1.5b
(* (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))) (* (/ (cbrt y) (cbrt z)) x))

rewrite135.0ms

Algorithm
rewrite-expression-head
Rules
73×add-exp-log
39×add-cbrt-cube
37×prod-exp cbrt-unprod
17×cbrt-undiv div-exp
9×pow1 cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
5×associate-*l*
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 pow-prod-down associate-*l/
1×frac-times times-frac associate-*r/ associate-*r* *-commutative div-inv
Counts
4 → 90
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)
129.0ms
(* (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))) (* (/ (cbrt y) (cbrt z)) x))

series984.0ms

Counts
4 → 12
Calls
4 calls:
339.0ms
(cbrt z)
286.0ms
(cbrt z)
327.0ms
(cbrt z)
32.0ms
(* (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))) (* (/ (cbrt y) (cbrt z)) x))

simplify2.2s

Counts
102 → 102
Iterations

Useful iterations: done (2.2s)

IterNodesCost
01241658
13521592
21815814
done5001535

prune315.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

4.6b
(/ (* x y) z)

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
6×add-exp-log add-cbrt-cube
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac associate-/r*
2×cbrt-undiv div-exp
1×pow1 expm1-log1p-u frac-2neg prod-exp clear-num cbrt-unprod log1p-expm1-u div-inv associate-/l* add-log-exp
Counts
1 → 23
Calls
1 calls:
18.0ms
(/ (* x y) z)

series23.0ms

Counts
1 → 3
Calls
1 calls:
23.0ms
(/ (* x y) z)

simplify3.9s

Counts
26 → 26
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
050198
1112191
2390161
31765161
done5000161

prune84.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

7.5b
(/ x (/ z y))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
75×times-frac
43×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
13×associate-/r*
6×add-exp-log add-cbrt-cube
5×div-inv
3×cbrt-undiv div-exp associate-/l*
1×pow1 expm1-log1p-u frac-2neg clear-num associate-/r/ log1p-expm1-u add-log-exp
Counts
1 → 72
Calls
1 calls:
18.0ms
(/ x (/ z y))

series40.0ms

Counts
1 → 3
Calls
1 calls:
40.0ms
(/ x (/ z y))

simplify2.4s

Counts
75 → 75
Iterations

Useful iterations: 3 (1.1s)

IterNodesCost
0152892
1313825
2947785
32760783
done5000783

prune184.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes1.0ms