Details

Time bar (total: 16.2s)

sample43.0ms

Algorithm
intervals
Results
27.0ms325×body80valid

simplify6.4s

Counts
1 → 1
Iterations

Useful iterations: 7 (1.6s)

IterNodesCost
01011
12011
24711
313610
432910
561310
696810
714349
830969
done50009

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite132.0ms

Algorithm
rewrite-expression-head
Rules
104×add-sqr-sqrt
101×*-un-lft-identity
76×times-frac
67×add-cube-cbrt
57×prod-diff
19×fma-neg
18×difference-of-squares
17×distribute-lft-out--
div-inv associate-/l*
add-exp-log add-cbrt-cube add-log-exp
associate-/r*
pow1 expm1-log1p-u flip3-- div-sub flip-- log1p-expm1-u associate-/l/
cbrt-undiv associate--l- sub-neg frac-2neg diff-log div-exp clear-num
Counts
2 → 134
Calls
2 calls:
95.0ms
(- (/ (- x y) z) 0.5)
22.0ms
(/ (- x y) z)

series89.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(- (/ (- x y) z) 0.5)
58.0ms
(/ (- x y) z)

simplify2.8s

Counts
140 → 140
Iterations

Useful iterations: done (2.8s)

IterNodesCost
01672544
13691959
28281722
328861385
done50001328

prune291.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (/ x z) (+ (/ y z) 0.5))
0.0b
(+ (/ y z) 0.5)

rewrite161.0ms

Algorithm
rewrite-expression-head
Rules
90×*-un-lft-identity
62×add-sqr-sqrt
57×add-cube-cbrt
55×times-frac
52×prod-diff
15×distribute-lft-out
13×fma-def fma-neg
add-log-exp
div-inv
pow1 add-exp-log expm1-log1p-u flip3-+ diff-log sum-log frac-sub add-cbrt-cube flip-+ log1p-expm1-u distribute-lft-out-- difference-of-squares
+-commutative sub-neg flip3-- flip-- associate--r+
Counts
2 → 114
Calls
2 calls:
116.0ms
(- (/ x z) (+ (/ y z) 0.5))
35.0ms
(+ (/ y z) 0.5)

series52.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(- (/ x z) (+ (/ y z) 0.5))
21.0ms
(+ (/ y z) 0.5)

simplify3.0s

Counts
120 → 120
Iterations

Useful iterations: done (3.0s)

IterNodesCost
01433109
13552171
210261736
338991265
done50001264

prune357.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite104.0ms

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:
102.0ms
(/ (* 4.0 (- (- x y) (* z 0.5))) z)

series81.0ms

Counts
1 → 3
Calls
1 calls:
81.0ms
(/ (* 4.0 (- (- x y) (* z 0.5))) z)

simplify2.6s

Counts
28 → 28
Iterations

Useful iterations: 3 (1.1s)

IterNodesCost
070430
1192415
2669338
33520315
done5002315

prune97.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes1.0ms