Details

Time bar (total: 4.2s)

sample101.0ms

Algorithm
intervals
Results
10.0ms337×body80valid

simplify465.0ms

Counts
1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize52.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* y (- z x)))
0.0b
(* y (- z x))

rewrite194.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt
*-un-lft-identity
associate-*r*
pow1 add-exp-log distribute-rgt-in add-cube-cbrt sub-neg associate-+r+ distribute-lft-in add-cbrt-cube add-log-exp
associate-*l*
associate-*r/
+-commutative flip3-- flip3-+ pow-prod-down prod-exp sum-log *-commutative flip-- cbrt-unprod flip-+ distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 41
Calls
2 calls:
16.0ms
(+ x (* y (- z x)))
173.0ms
(* y (- z x))

series300.0ms

Counts
2 → 6
Calls
2 calls:
165.0ms
(+ x (* y (- z x)))
135.0ms
(* y (- z x))

simplify76.0ms

Counts
47 → 47

prune223.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize45.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (+ (* y z) (* y (- x))))
0.0b
(+ (* y z) (* y (- x)))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
add-log-exp
*-un-lft-identity sum-log distribute-rgt-neg-out
pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt associate-+r- flip3-+ unsub-neg add-cbrt-cube flip-+ distribute-lft-out
associate-+r+
Counts
2 → 30
Calls
2 calls:
32.0ms
(+ x (+ (* y z) (* y (- x))))
17.0ms
(+ (* y z) (* y (- x)))

series132.0ms

Counts
2 → 6
Calls
2 calls:
60.0ms
(+ x (+ (* y z) (* y (- x))))
72.0ms
(+ (* y z) (* y (- x)))

simplify125.0ms

Counts
36 → 36

prune74.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (/ (* (* y y) (- (* z z) (* x x))) (* y (+ z x))))
2.0b
(- (* z z) (* x x))
19.0b
(* (* y y) (- (* z z) (* x x)))
28.0b
(/ (* (* y y) (- (* z z) (* x x))) (* y (+ z x)))

rewrite145.0ms

Algorithm
rewrite-expression-head
Rules
30×add-exp-log add-cbrt-cube
12×prod-exp cbrt-unprod
pow1
add-log-exp
*-un-lft-identity
cbrt-undiv add-sqr-sqrt associate-*r/ div-exp
add-cube-cbrt
associate-*r*
sub-neg flip3-- pow-prod-down flip--
distribute-rgt-in distribute-lft-in flip3-+ associate-/r/ flip-+ associate-/l/ difference-of-squares
+-commutative frac-2neg times-frac diff-log associate-*l* clear-num associate-/r* sum-log *-commutative div-inv distribute-lft-out associate-/l* unswap-sqr
Counts
4 → 80
Calls
4 calls:
17.0ms
(+ x (/ (* (* y y) (- (* z z) (* x x))) (* y (+ z x))))
10.0ms
(- (* z z) (* x x))
59.0ms
(* (* y y) (- (* z z) (* x x)))
57.0ms
(/ (* (* y y) (- (* z z) (* x x))) (* y (+ z x)))

series408.0ms

Counts
4 → 12
Calls
4 calls:
99.0ms
(+ x (/ (* (* y y) (- (* z z) (* x x))) (* y (+ z x))))
72.0ms
(- (* z z) (* x x))
120.0ms
(* (* y y) (- (* z z) (* x x)))
116.0ms
(/ (* (* y y) (- (* z z) (* x x))) (* y (+ z x)))

simplify127.0ms

Counts
92 → 92

prune291.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes84.0ms

Accuracy

61.7% (0.0b remaining)

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

bsearch0.0ms

simplify272.0ms

end0.0ms

sample995.0ms

Algorithm
intervals
Results
437.0ms10139×body80valid