Details

Time bar (total: 10.7s)

sample42.0ms

Algorithm
intervals
Results
16.0ms344×body80valid

simplify522.0ms

Counts
1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.1b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ (* y (- z t)) a))
0.0b
(* y (- z t))
6.9b
(/ (* y (- z t)) a)

rewrite89.0ms

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:
15.0ms
(+ x (/ (* y (- z t)) a))
46.0ms
(* y (- z t))
26.0ms
(/ (* y (- z t)) a)

series215.0ms

Counts
3 → 9
Calls
3 calls:
79.0ms
(+ x (/ (* y (- z t)) a))
60.0ms
(* y (- z t))
76.0ms
(/ (* y (- z t)) a)

simplify672.0ms

Counts
70 → 70

prune198.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite118.0ms

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:
51.0ms
(+ x (/ y (/ a (- z t))))
22.0ms
(/ a (- z t))
34.0ms
(/ y (/ a (- z t)))

series167.0ms

Counts
3 → 9
Calls
3 calls:
65.0ms
(+ x (/ y (/ a (- z t))))
41.0ms
(/ a (- z t))
61.0ms
(/ y (/ a (- z t)))

simplify815.0ms

Counts
160 → 160

prune747.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
5.1b
(* (/ (* (cbrt y) (cbrt y)) a) (* (- z t) (cbrt y)))

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
25×add-exp-log
18×add-cbrt-cube
11×prod-exp cbrt-unprod
pow1 cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity
associate-*l*
associate-*l/
cbrt-undiv div-exp add-log-exp
times-frac pow1/3 pow-prod-down
frac-times flip3-- associate-*r/ flip--
associate-*r* *-commutative div-inv
Counts
4 → 68
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)
61.0ms
(* (/ (* (cbrt y) (cbrt y)) a) (* (- z t) (cbrt y)))

series880.0ms

Counts
4 → 12
Calls
4 calls:
275.0ms
(cbrt y)
274.0ms
(cbrt y)
231.0ms
(cbrt y)
99.0ms
(* (/ (* (cbrt y) (cbrt y)) a) (* (- z t) (cbrt y)))

simplify563.0ms

Counts
80 → 80

prune299.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ z a) (/ t a))
0.0b
(+ x (* y (- (/ z a) (/ t a))))
5.2b
(* y (- (/ z a) (/ t a)))

rewrite211.0ms

Algorithm
rewrite-expression-head
Rules
35×add-sqr-sqrt
25×*-un-lft-identity
20×times-frac
12×associate-*r*
add-cube-cbrt
distribute-lft-out-- difference-of-squares
add-log-exp
pow1 add-exp-log sub-neg add-cbrt-cube
distribute-rgt-in associate-+r+ distribute-lft-in associate-*r/ div-inv
associate-*l*
flip3-- distribute-rgt-out-- frac-sub flip-- sub-div
+-commutative flip3-+ diff-log pow-prod-down prod-exp sum-log *-commutative cbrt-unprod flip-+ unswap-sqr
Counts
3 → 73
Calls
3 calls:
53.0ms
(- (/ z a) (/ t a))
24.0ms
(+ x (* y (- (/ z a) (/ t a))))
128.0ms
(* y (- (/ z a) (/ t a)))

series226.0ms

Counts
3 → 9
Calls
3 calls:
41.0ms
(- (/ z a) (/ t a))
98.0ms
(+ x (* y (- (/ z a) (/ t a))))
86.0ms
(* y (- (/ z a) (/ t a)))

simplify2.1s

Counts
82 → 82

prune258.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes433.0ms

Accuracy

-100.3% (6.0b remaining)

Error of 6.0b against oracle of 0.0b and baseline of 3.0b

bsearch3.0ms

simplify572.0ms

end0.0ms

sample1.4s

Algorithm
intervals
Results
585.0ms10710×body80valid