Details

Time bar (total: 4.2s)

sample29.0ms

Algorithm
intervals
Results
11.0ms331×body80valid

simplify28.0ms

Counts
1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.1b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ (* y (- z t)) a))
0.0b
(* y (- z t))
7.4b
(/ (* y (- z t)) a)

rewrite57.0ms

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:
10.0ms
(+ x (/ (* y (- z t)) a))
30.0ms
(* y (- z t))
16.0ms
(/ (* y (- z t)) a)

series154.0ms

Counts
3 → 9
Calls
3 calls:
57.0ms
(+ x (/ (* y (- z t)) a))
43.0ms
(* y (- z t))
54.0ms
(/ (* y (- z t)) a)

simplify38.0ms

Counts
70 → 70

prune151.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a)
0.6b
(cbrt a)
0.6b
(cbrt a)
3.5b
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
54×add-sqr-sqrt
40×times-frac
38×*-un-lft-identity
34×associate-*r*
26×cbrt-prod add-cube-cbrt
25×add-exp-log
18×add-cbrt-cube
prod-exp cbrt-unprod
cbrt-undiv div-exp associate-*l*
pow1 distribute-lft-out-- difference-of-squares unswap-sqr
add-log-exp
pow1/3
div-inv
frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 104
Calls
4 calls:
1.0ms
(cbrt a)
1.0ms
(cbrt a)
1.0ms
(cbrt a)
64.0ms
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

series706.0ms

Counts
4 → 12
Calls
4 calls:
200.0ms
(cbrt a)
199.0ms
(cbrt a)
206.0ms
(cbrt a)
100.0ms
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

simplify60.0ms

Counts
116 → 116

prune367.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (* y (/ (- z t) a)))
0.0b
(/ (- z t) a)
6.7b
(* y (/ (- z t) a))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
37×*-un-lft-identity
31×times-frac
23×add-cube-cbrt
19×associate-*r*
10×add-exp-log add-cbrt-cube
distribute-lft-out-- difference-of-squares
pow1 associate-/l* add-log-exp
associate-*l* associate-/r*
cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
+-commutative flip3-- frac-2neg flip3-+ div-sub associate-*r/ pow-prod-down clear-num sum-log *-commutative flip-- flip-+
Counts
3 → 87
Calls
3 calls:
6.0ms
(+ x (* y (/ (- z t) a)))
15.0ms
(/ (- z t) a)
33.0ms
(* y (/ (- z t) a))

series163.0ms

Counts
3 → 9
Calls
3 calls:
72.0ms
(+ x (* y (/ (- z t) a)))
33.0ms
(/ (- z t) a)
57.0ms
(* y (/ (- z t) a))

simplify43.0ms

Counts
96 → 96

prune203.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ y (/ a (- z t))))
0.0b
(/ a (- z t))
7.0b
(/ y (/ a (- z t)))

rewrite83.0ms

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:
42.0ms
(+ x (/ y (/ a (- z t))))
11.0ms
(/ a (- z t))
23.0ms
(/ y (/ a (- z t)))

series154.0ms

Counts
3 → 9
Calls
3 calls:
55.0ms
(+ x (/ y (/ a (- z t))))
38.0ms
(/ a (- z t))
60.0ms
(/ y (/ a (- z t)))

simplify57.0ms

Counts
160 → 160

prune392.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes177.0ms

Accuracy

78% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 2.6b

bsearch84.0ms

Steps
ItersRangePoint
7
2.2404458759581851e+24
1.8367945092606406e+26
4.635323820368955e+24
10
-5.545825962496913e-23
-5.8877645159621785e-33
-5.38601116728621e-28

simplify1.0ms

end0.0ms

sample1.0s

Algorithm
intervals
Results
484.0ms10733×body80valid