Details

Time bar (total: 11.3s)

sample46.0ms

Algorithm
intervals
Results
21.0ms337×body80valid

simplify1.7s

Counts
1 → 1
Iterations

Useful iterations: 3 (31.0ms)

IterNodesCost
01011
12011
24711
313810
436910
5135310
done500010

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ (* 4.0 (- (- x y) (* z 0.5))) z)

rewrite149.0ms

Algorithm
rewrite-expression-head
Rules
add-exp-log add-cbrt-cube
add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac associate-/r*
cbrt-undiv associate-*r/ div-exp associate-/l/
pow1 expm1-log1p-u flip3-- frac-2neg prod-exp clear-num flip-- cbrt-unprod log1p-expm1-u div-inv associate-/l* add-log-exp
Counts
1 → 25
Calls
1 calls:
147.0ms
(/ (* 4.0 (- (- x y) (* z 0.5))) z)

series90.0ms

Counts
1 → 3
Calls
1 calls:
90.0ms
(/ (* 4.0 (- (- x y) (* z 0.5))) z)

simplify1.2s

Counts
28 → 28
Iterations

Useful iterations: done (1.2s)

IterNodesCost
070430
1201415
2930342
done5000315

prune203.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize22.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- x y) z)
0.0b
(* 4.0 (/ (- x y) z))

rewrite100.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
36×*-un-lft-identity
31×times-frac
22×add-cube-cbrt
19×associate-*r*
add-exp-log add-cbrt-cube
distribute-lft-out-- difference-of-squares
associate-/l*
pow1
associate-*l* associate-/r*
cbrt-undiv expm1-log1p-u div-exp prod-exp cbrt-unprod log1p-expm1-u div-inv associate-/l/ add-log-exp unswap-sqr
flip3-- frac-2neg div-sub associate-*r/ pow-prod-down clear-num *-commutative flip--
Counts
2 → 80
Calls
2 calls:
34.0ms
(/ (- x y) z)
60.0ms
(* 4.0 (/ (- x y) z))

series594.0ms

Counts
2 → 6
Calls
2 calls:
55.0ms
(/ (- x y) z)
539.0ms
(* 4.0 (/ (- x y) z))

simplify1.2s

Counts
86 → 86
Iterations

Useful iterations: 2 (307.0ms)

IterNodesCost
0118859
1301806
21294740
done5001740

prune520.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize26.0ms

Local error

Found 1 expressions with local error:

0.0b
(* 4.0 (- (/ x z) (/ y z)))

rewrite321.0ms

Algorithm
rewrite-expression-head
Rules
478×times-frac
383×add-sqr-sqrt
377×*-un-lft-identity
369×add-cube-cbrt
338×prod-diff
171×distribute-rgt-in distribute-lft-in
54×div-inv
12×associate-*r*
associate-*r/ distribute-lft-out-- difference-of-squares
pow1 add-exp-log associate-*l* add-cbrt-cube
sub-neg
expm1-log1p-u flip3-- distribute-rgt-out-- pow-prod-down prod-exp *-commutative frac-sub flip-- cbrt-unprod log1p-expm1-u sub-div add-log-exp unswap-sqr
Counts
1 → 375
Calls
1 calls:
237.0ms
(* 4.0 (- (/ x z) (/ y z)))

series73.0ms

Counts
1 → 3
Calls
1 calls:
73.0ms
(* 4.0 (- (/ x z) (/ y z)))

simplify1.8s

Counts
378 → 378
Iterations

Useful iterations: done (1.8s)

IterNodesCost
069916829
1153014890
done500011816

prune1.8s

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01011
11111
done1111

end0.0ms

sample1.4s

Algorithm
intervals
Results
822.0ms10146×body80valid