Details

Time bar (total: 3.8s)

sample42.0ms

Algorithm
intervals
Results
16.0ms338×body80valid

simplify127.0ms

Counts
1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.9b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (/ (* y (- z x)) t))
7.1b
(/ (* y (- z x)) t)

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
add-exp-log add-cbrt-cube
*-un-lft-identity
add-sqr-sqrt add-cube-cbrt add-log-exp
times-frac associate-/r*
pow1 cbrt-undiv associate-*r/ div-exp associate-/l/
+-commutative flip3-- frac-2neg flip3-+ prod-exp clear-num sum-log flip-- cbrt-unprod flip-+ div-inv distribute-lft-out associate-/l*
Counts
2 → 35
Calls
2 calls:
15.0ms
(+ x (/ (* y (- z x)) t))
25.0ms
(/ (* y (- z x)) t)

series122.0ms

Counts
2 → 6
Calls
2 calls:
43.0ms
(+ x (/ (* y (- z x)) t))
79.0ms
(/ (* y (- z x)) t)

simplify96.0ms

Counts
41 → 41

prune154.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ t (- z x))
0.0b
(+ x (/ y (/ t (- z x))))
4.9b
(/ y (/ t (- z x)))

rewrite121.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
105×*-un-lft-identity
103×add-sqr-sqrt
71×add-cube-cbrt
26×associate-/r*
16×distribute-lft-out-- difference-of-squares
11×associate-/r/
10×add-exp-log add-cbrt-cube
div-inv associate-/l*
flip3-- flip-- add-log-exp
cbrt-undiv div-exp
pow1
frac-2neg clear-num
+-commutative flip3-+ sum-log flip-+ distribute-lft-out
Counts
3 → 151
Calls
3 calls:
19.0ms
(/ t (- z x))
53.0ms
(+ x (/ y (/ t (- z x))))
32.0ms
(/ y (/ t (- z x)))

series189.0ms

Counts
3 → 9
Calls
3 calls:
49.0ms
(/ t (- z x))
65.0ms
(+ x (/ y (/ t (- z x))))
75.0ms
(/ y (/ t (- z x)))

simplify77.0ms

Counts
160 → 160

prune504.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* (/ y t) (- z x)))
7.3b
(* (/ y t) (- z x))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*l*
12×*-un-lft-identity
10×add-cube-cbrt times-frac
add-exp-log add-cbrt-cube
associate-*r*
pow1 distribute-rgt-in sub-neg associate-+r+ distribute-lft-in add-log-exp
frac-times flip3-- associate-*r/ prod-exp flip-- cbrt-unprod unswap-sqr
cbrt-undiv +-commutative flip3-+ div-exp pow-prod-down associate-*l/ sum-log *-commutative flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 57
Calls
2 calls:
12.0ms
(+ x (* (/ y t) (- z x)))
38.0ms
(* (/ y t) (- z x))

series126.0ms

Counts
2 → 6
Calls
2 calls:
52.0ms
(+ x (* (/ y t) (- z x)))
74.0ms
(* (/ y t) (- z x))

simplify39.0ms

Counts
63 → 63

prune171.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (- z x))
0.0b
(+ x (/ y (* t (/ 1 (- z x)))))
0.3b
(* t (/ 1 (- z x)))
4.9b
(/ y (* t (/ 1 (- z x))))

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
47×add-sqr-sqrt
43×*-un-lft-identity
35×times-frac
32×add-exp-log
26×add-cube-cbrt
21×associate-*r*
20×add-cbrt-cube
11×div-exp
prod-exp
pow1 distribute-lft-out-- difference-of-squares
cbrt-undiv associate-/r* associate-/r/ associate-/l* add-log-exp
cbrt-unprod
rec-exp 1-exp associate-*l* div-inv unswap-sqr
flip3-- frac-2neg associate-*r/ clear-num un-div-inv flip--
+-commutative pow-flip flip3-+ pow-prod-down sum-log *-commutative flip-+ distribute-lft-out inv-pow
Counts
4 → 124
Calls
4 calls:
12.0ms
(/ 1 (- z x))
12.0ms
(+ x (/ y (* t (/ 1 (- z x)))))
36.0ms
(* t (/ 1 (- z x)))
16.0ms
(/ y (* t (/ 1 (- z x))))

series185.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(/ 1 (- z x))
43.0ms
(+ x (/ y (* t (/ 1 (- z x)))))
32.0ms
(* t (/ 1 (- z x)))
64.0ms
(/ y (* t (/ 1 (- z x))))

simplify39.0ms

Counts
136 → 136

prune338.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes144.0ms

Accuracy

0% (2.1b remaining)

Error of 2.1b against oracle of 0.0b and baseline of 2.1b

bsearch46.0ms

Steps
ItersRangePoint
3
3.9465707908149535e-172
4.842900652449326e-172
4.674838803392881e-172
4
-5.3928329680197576e-129
-3.2563240537049856e-129
-3.9907489930006894e-129

simplify33.0ms

end0.0ms

sample1.0s

Algorithm
intervals
Results
461.0ms10656×body80valid