Details

Time bar (total: 4.2s)

sample28.0ms

Algorithm
intervals
Results
11.0ms301×body80valid

simplify8.0ms

Counts
1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.7b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- y z))
13.0b
(/ (* x (- y z)) y)

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
add-exp-log add-cbrt-cube
*-un-lft-identity
add-cube-cbrt
associate-*r*
pow1 associate-*r/
times-frac associate-*l* associate-/r*
cbrt-undiv distribute-rgt-in sub-neg flip3-- distribute-lft-in div-exp prod-exp flip-- cbrt-unprod associate-/l/ add-log-exp
frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 49
Calls
2 calls:
27.0ms
(* x (- y z))
30.0ms
(/ (* x (- y z)) y)

series108.0ms

Counts
2 → 6
Calls
2 calls:
41.0ms
(* x (- y z))
67.0ms
(/ (* x (- y z)) y)

simplify103.0ms

Counts
55 → 55

prune123.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- y z))
2.0b
(/ x (/ y (- y z)))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
102×add-sqr-sqrt *-un-lft-identity
70×add-cube-cbrt
26×associate-/r*
16×distribute-lft-out-- difference-of-squares
11×associate-/r/
add-exp-log add-cbrt-cube
div-inv associate-/l*
flip3-- flip--
cbrt-undiv div-exp
pow1 frac-2neg clear-num add-log-exp
Counts
2 → 139
Calls
2 calls:
16.0ms
(/ y (- y z))
25.0ms
(/ x (/ y (- y z)))

series135.0ms

Counts
2 → 6
Calls
2 calls:
60.0ms
(/ y (- y z))
75.0ms
(/ x (/ y (- y z)))

simplify44.0ms

Counts
145 → 145

prune382.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (- y z))
0.2b
(/ 1 (/ (/ y (- y z)) x))
2.0b
(/ (/ y (- y z)) x)

rewrite128.0ms

Algorithm
rewrite-expression-head
Rules
771×times-frac
439×add-sqr-sqrt *-un-lft-identity
335×add-cube-cbrt
75×associate-/r*
52×distribute-lft-out-- difference-of-squares
35×associate-/r/
31×add-exp-log
27×associate-/l*
23×div-inv
19×div-exp add-cbrt-cube
17×flip3-- flip--
10×cbrt-undiv
pow1
rec-exp frac-2neg 1-exp clear-num add-log-exp
pow-flip associate-/l/ inv-pow
Counts
3 → 435
Calls
3 calls:
15.0ms
(/ y (- y z))
36.0ms
(/ 1 (/ (/ y (- y z)) x))
29.0ms
(/ (/ y (- y z)) x)

series228.0ms

Counts
3 → 9
Calls
3 calls:
62.0ms
(/ y (- y z))
67.0ms
(/ 1 (/ (/ y (- y z)) x))
99.0ms
(/ (/ y (- y z)) x)

simplify87.0ms

Counts
444 → 444

prune1.2s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) y)
2.2b
(* x (/ (- y z) y))

rewrite76.0ms

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 div-exp prod-exp cbrt-unprod 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 → 76
Calls
2 calls:
24.0ms
(/ (- y z) y)
47.0ms
(* x (/ (- y z) y))

series116.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(/ (- y z) y)
75.0ms
(* x (/ (- y z) y))

simplify65.0ms

Counts
82 → 82

prune174.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes61.0ms

Accuracy

-298.5% (11.9b remaining)

Error of 11.9b against oracle of 0.0b and baseline of 3.0b

bsearch0.0ms

simplify70.0ms

end0.0ms

sample841.0ms

Algorithm
intervals
Results
405.0ms9626×body80valid