Details

Time bar (total: 9.5s)

sample43.0ms

Algorithm
intervals
Results
17.0ms326×body80valid

simplify465.0ms

Counts
1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.6b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ (* y (- z t)) a))
0.0b
(* y (- z t))
4.7b
(/ (* y (- z t)) a)

rewrite91.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt *-un-lft-identity
10×add-exp-log add-cbrt-cube
add-cube-cbrt
pow1 associate-*r* add-log-exp
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/
+-commutative frac-2neg flip3-+ pow-prod-down clear-num sum-log *-commutative flip-+ div-inv distribute-lft-out associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 61
Calls
3 calls:
16.0ms
(+ x (/ (* y (- z t)) a))
41.0ms
(* y (- z t))
31.0ms
(/ (* y (- z t)) a)

series179.0ms

Counts
3 → 9
Calls
3 calls:
76.0ms
(+ x (/ (* y (- z t)) a))
41.0ms
(* y (- z t))
63.0ms
(/ (* y (- z t)) a)

simplify600.0ms

Counts
70 → 70

prune243.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* (/ y a) (- z t)))
5.6b
(* (/ y a) (- z t))

rewrite41.0ms

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:
8.0ms
(+ x (* (/ y a) (- z t)))
31.0ms
(* (/ y a) (- z t))

series142.0ms

Counts
2 → 6
Calls
2 calls:
62.0ms
(+ x (* (/ y a) (- z t)))
79.0ms
(* (/ y a) (- z t))

simplify2.0s

Counts
63 → 63

prune239.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (+ (/ (* z y) a) x) (/ (* t y) a))
0.0b
(+ (/ (* z y) a) x)
5.0b
(/ (* t y) a)
5.1b
(/ (* z y) a)

rewrite207.0ms

Algorithm
rewrite-expression-head
Rules
15×*-un-lft-identity
14×add-exp-log add-cbrt-cube
11×add-log-exp
10×add-sqr-sqrt
add-cube-cbrt
times-frac associate-/r*
pow1 cbrt-undiv div-exp
frac-2neg flip3-+ diff-log prod-exp clear-num sum-log frac-sub cbrt-unprod flip-+ div-inv distribute-lft-out associate-/l* distribute-lft-out--
+-commutative sub-neg flip3-- associate--l+ flip-- difference-of-squares
Counts
4 → 73
Calls
4 calls:
158.0ms
(- (+ (/ (* z y) a) x) (/ (* t y) a))
15.0ms
(+ (/ (* z y) a) x)
14.0ms
(/ (* t y) a)
15.0ms
(/ (* z y) a)

series166.0ms

Counts
4 → 12
Calls
4 calls:
61.0ms
(- (+ (/ (* z y) a) x) (/ (* t y) a))
43.0ms
(+ (/ (* z y) a) x)
24.0ms
(/ (* t y) a)
38.0ms
(/ (* z y) a)

simplify548.0ms

Counts
85 → 85

prune233.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

5.1b
(/ (* z y) a)
17.6b
(cbrt (/ (* z y) a))
17.6b
(cbrt (/ (* z y) a))
17.6b
(cbrt (/ (* z y) a))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
21×cbrt-prod
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
add-exp-log add-cbrt-cube
pow1 div-inv add-log-exp
cbrt-div pow1/3 associate-/r*
cbrt-undiv div-exp
frac-2neg prod-exp clear-num cbrt-unprod associate-/l*
Counts
4 → 69
Calls
4 calls:
10.0ms
(/ (* z y) a)
4.0ms
(cbrt (/ (* z y) a))
4.0ms
(cbrt (/ (* z y) a))
4.0ms
(cbrt (/ (* z y) a))

series357.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(/ (* z y) a)
114.0ms
(cbrt (/ (* z y) a))
103.0ms
(cbrt (/ (* z y) a))
104.0ms
(cbrt (/ (* z y) a))

simplify874.0ms

Counts
81 → 81

prune418.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes233.0ms

Accuracy

-149.5% (6.2b remaining)

Error of 6.2b against oracle of 0.0b and baseline of 2.5b

bsearch115.0ms

Steps
ItersRangePoint
6
1.4800420664589998e-20
1.7032597989513092e-19
1.737882189922714e-20
7
-1.91003731435275e+62
-4.809565432703913e+60
-3.079662010669181e+61

simplify545.0ms

end0.0ms

sample1.7s

Algorithm
intervals
Results
924.0ms10669×body80valid