Details

Time bar (total: 20.1s)

sample25.0ms

Algorithm
intervals
Results
12.0ms315×body80valid

simplify3.7s

Counts
1 → 1
Iterations

Useful iterations: 7 (983.0ms)

IterNodesCost
012246
122246
248221
3113196
4258196
5462196
6779196
71577181
83385181
done5000181

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- x z) y)
0.0b
(fma (+ 0.25 (/ (- x z) y)) 4.0 1.0)

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt *-un-lft-identity
15×times-frac
12×add-cube-cbrt
associate-/l*
add-cbrt-cube add-exp-log distribute-lft-out-- difference-of-squares
associate-/r*
expm1-log1p-u pow1 log1p-expm1-u add-log-exp associate-/l/
cbrt-undiv clear-num frac-2neg flip3-- div-sub div-exp fma-udef div-inv flip--
Counts
2 → 50
Calls
2 calls:
14.0ms
(/ (- x z) y)
0.0ms
(fma (+ 0.25 (/ (- x z) y)) 4.0 1.0)

series61.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(/ (- x z) y)
32.0ms
(fma (+ 0.25 (/ (- x z) y)) 4.0 1.0)

simplify1.6s

Counts
56 → 56
Iterations

Useful iterations: done (1.6s)

IterNodesCost
09512075
120111461
246511381
3136611216
done500211141

prune229.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ (- x z) y)

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt *-un-lft-identity
15×times-frac
11×add-cube-cbrt
associate-/l*
distribute-lft-out-- difference-of-squares
associate-/r* add-cbrt-cube add-exp-log
associate-/l/
expm1-log1p-u pow1 cbrt-undiv clear-num frac-2neg flip3-- div-sub div-exp log1p-expm1-u div-inv flip-- add-log-exp
Counts
1 → 40
Calls
1 calls:
14.0ms
(/ (- x z) y)

series34.0ms

Counts
1 → 3
Calls
1 calls:
34.0ms
(/ (- x z) y)

simplify2.6s

Counts
43 → 43
Iterations

Useful iterations: 2 (67.0ms)

IterNodesCost
0758886
11658347
23718267
312088267
442818267
done50008267

prune230.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize22.0ms

Local error

Found 1 expressions with local error:

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

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
253×times-frac
204×add-sqr-sqrt
200×*-un-lft-identity
192×add-cube-cbrt
169×prod-diff
29×div-inv
13×fma-neg
distribute-lft-out-- difference-of-squares
add-log-exp
expm1-log1p-u pow1 sub-neg flip3-- add-cbrt-cube distribute-rgt-out-- diff-log add-exp-log frac-sub log1p-expm1-u flip-- sub-div
Counts
1 → 207
Calls
1 calls:
49.0ms
(- (/ x y) (/ z y))

series28.0ms

Counts
1 → 3
Calls
1 calls:
28.0ms
(- (/ x y) (/ z y))

simplify4.8s

Counts
210 → 210
Iterations

Useful iterations: 3 (2.9s)

IterNodesCost
0310129045
1705114823
2159097418
3429180230
done500080230

prune1.0s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 1 expressions with local error:

0.2b
(* (/ 1 y) (- x z))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
30×add-sqr-sqrt
24×*-un-lft-identity
21×add-cube-cbrt
18×prod-diff
13×associate-*l*
11×distribute-rgt-in distribute-lft-in times-frac
10×add-exp-log
add-cbrt-cube
associate-*r*
prod-exp
pow1 unswap-sqr
frac-times sub-neg flip3-- div-exp associate-*r/ cbrt-unprod flip--
expm1-log1p-u cbrt-undiv rec-exp 1-exp pow-prod-down associate-*l/ *-commutative log1p-expm1-u div-inv distribute-lft-out-- add-log-exp difference-of-squares
Counts
1 → 65
Calls
1 calls:
29.0ms
(* (/ 1 y) (- x z))

series40.0ms

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

simplify3.4s

Counts
68 → 68
Iterations

Useful iterations: done (3.4s)

IterNodesCost
015021969
140518649
292111899
3225911698
done500010738

prune291.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes209.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
09180
done9180

end0.0ms

sample1.6s

Algorithm
intervals
Results
1.2s10144×body80valid