Details

Time bar (total: 7.5s)

sample29.0ms

Algorithm
intervals
Results
11.0ms267×body80valid

simplify25.0ms

Counts
1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.7b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(- y (* z t))
2.7b
(/ x (- y (* z t)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
4×add-exp-log add-cbrt-cube add-log-exp
3×associate-/r* associate-/l*
2×pow1 flip3-- associate-/r/ flip--
1×cbrt-undiv sub-neg frac-2neg diff-log div-exp clear-num div-inv
Counts
2 → 41
Calls
2 calls:
8.0ms
(- y (* z t))
14.0ms
(/ x (- y (* z t)))

series104.0ms

Counts
2 → 6
Calls
2 calls:
41.0ms
(- y (* z t))
63.0ms
(/ x (- y (* z t)))

simplify1.7s

Counts
47 → 47

prune155.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 2.6b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(- y (* z t))
0.6b
(/ 1 (/ (- y (* z t)) x))
2.7b
(/ (- y (* z t)) x)

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
84×times-frac
53×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
16×add-exp-log associate-/r*
10×add-cbrt-cube
8×div-exp
6×div-inv associate-/l*
5×add-log-exp
4×pow1 cbrt-undiv
2×rec-exp flip3-- frac-2neg 1-exp clear-num flip-- associate-/l/
1×sub-neg pow-flip diff-log div-sub associate-/r/ inv-pow
Counts
3 → 118
Calls
3 calls:
8.0ms
(- y (* z t))
22.0ms
(/ 1 (/ (- y (* z t)) x))
26.0ms
(/ (- y (* z t)) x)

series239.0ms

Counts
3 → 9
Calls
3 calls:
45.0ms
(- y (* z t))
137.0ms
(/ 1 (/ (- y (* z t)) x))
57.0ms
(/ (- y (* z t)) x)

simplify682.0ms

Counts
127 → 127

prune248.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 2.6b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(- y (* z t))
0.6b
(/ 1 (* (- y (* z t)) (/ 1 x)))
2.8b
(* (- y (* z t)) (/ 1 x))

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
47×add-exp-log
20×add-sqr-sqrt
18×div-exp
17×add-cbrt-cube
16×prod-exp
14×*-un-lft-identity times-frac
13×add-cube-cbrt associate-*r*
9×rec-exp 1-exp
8×pow1
6×associate-/r/
5×cbrt-undiv flip3-- flip-- add-log-exp
4×frac-times associate-*l/ cbrt-unprod
3×associate-*l* associate-/l* unswap-sqr
2×pow-flip associate-*r/ pow-prod-down un-div-inv div-inv
1×sub-neg frac-2neg diff-log clear-num associate-/r* *-commutative inv-pow
Counts
3 → 96
Calls
3 calls:
6.0ms
(- y (* z t))
32.0ms
(/ 1 (* (- y (* z t)) (/ 1 x)))
27.0ms
(* (- y (* z t)) (/ 1 x))

series195.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(- y (* z t))
110.0ms
(/ 1 (* (- y (* z t)) (/ 1 x)))
49.0ms
(* (- y (* z t)) (/ 1 x))

simplify590.0ms

Counts
105 → 105

prune228.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 2.6b

localize14.0ms

Local error

Found 4 expressions with local error:

1.4b
(/ x (* (cbrt (- y (* z t))) (cbrt (- y (* z t)))))
10.1b
(cbrt (- y (* z t)))
10.1b
(cbrt (- y (* z t)))
10.1b
(cbrt (- y (* z t)))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-div
9×add-exp-log cbrt-prod add-sqr-sqrt add-cube-cbrt flip3-- *-un-lft-identity flip--
8×associate-/r/
7×add-cbrt-cube
4×pow1 frac-times add-log-exp
3×times-frac pow1/3 associate-/l*
2×cbrt-undiv associate-*r/ div-exp associate-*l/
1×frac-2neg prod-exp clear-num associate-/r* cbrt-unprod div-inv
Counts
4 → 68
Calls
4 calls:
26.0ms
(/ x (* (cbrt (- y (* z t))) (cbrt (- y (* z t)))))
3.0ms
(cbrt (- y (* z t)))
8.0ms
(cbrt (- y (* z t)))
3.0ms
(cbrt (- y (* z t)))

series669.0ms

Counts
4 → 12
Calls
4 calls:
217.0ms
(/ x (* (cbrt (- y (* z t))) (cbrt (- y (* z t)))))
163.0ms
(cbrt (- y (* z t)))
149.0ms
(cbrt (- y (* z t)))
141.0ms
(cbrt (- y (* z t)))

simplify846.0ms

Counts
80 → 80

prune300.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 2.6b

regimes291.0ms

Accuracy

0% (0.1b remaining)

Error of 2.8b against oracle of 2.7b and baseline of 2.8b

bsearch0.0ms

simplify24.0ms

end0.0ms

sample870.0ms

Algorithm
intervals
Results
396.0ms8366×body80valid