Details

Time bar (total: 11.9s)

sample49.0ms

Algorithm
intervals
Results
23.0ms348×body80valid

simplify835.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
09165
116165
232165
369165
4161165
5376165
61395165
done5001165

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.0b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ (* y (- z t)) a))
0.0b
(* y (- z t))
6.3b
(/ (* y (- z t)) a)

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
11×*-un-lft-identity
10×add-cbrt-cube add-exp-log
add-cube-cbrt
pow1 associate-*r* add-log-exp
associate-*r/
associate-/r* sub-neg times-frac flip3-- associate-*l* flip--
distribute-rgt-in cbrt-undiv distribute-lft-in div-exp prod-exp cbrt-unprod distribute-lft-out-- difference-of-squares associate-/l/
clear-num frac-2neg diff-log pow-prod-down *-commutative div-inv associate-/l* unswap-sqr
Counts
3 → 63
Calls
3 calls:
12.0ms
(- x (/ (* y (- z t)) a))
30.0ms
(* y (- z t))
21.0ms
(/ (* y (- z t)) a)

series205.0ms

Counts
3 → 9
Calls
3 calls:
77.0ms
(- x (/ (* y (- z t)) a))
59.0ms
(* y (- z t))
68.0ms
(/ (* y (- z t)) a)

simplify1.2s

Counts
72 → 72
Iterations

Useful iterations: done (1.2s)

IterNodesCost
012014581
131113345
2115313265
done500012665

prune307.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ y (/ a (- z t))))
0.0b
(/ a (- z t))
5.3b
(/ y (/ a (- z t)))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
141×times-frac
112×add-sqr-sqrt
105×*-un-lft-identity
71×add-cube-cbrt
26×associate-/r*
19×difference-of-squares
17×distribute-lft-out--
11×associate-/r/
10×add-cbrt-cube add-exp-log
flip3-- div-inv flip-- associate-/l*
add-log-exp
cbrt-undiv div-exp
pow1
clear-num frac-2neg
sub-neg diff-log
Counts
3 → 155
Calls
3 calls:
35.0ms
(- x (/ y (/ a (- z t))))
9.0ms
(/ a (- z t))
14.0ms
(/ y (/ a (- z t)))

series143.0ms

Counts
3 → 9
Calls
3 calls:
53.0ms
(- x (/ y (/ a (- z t))))
31.0ms
(/ a (- z t))
60.0ms
(/ y (/ a (- z t)))

simplify1.5s

Counts
164 → 164
Iterations

Useful iterations: done (1.4s)

IterNodesCost
025354169
163449823
2289548605
done500048565

prune910.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize76.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt a)
0.5b
(cbrt a)
0.5b
(cbrt a)
0.6b
(/ y (* (/ (cbrt a) (cbrt (- z t))) (/ (cbrt a) (cbrt (- z t)))))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
22×add-exp-log
14×add-cbrt-cube
cbrt-prod add-sqr-sqrt cbrt-undiv *-un-lft-identity div-exp add-cube-cbrt
pow1 prod-exp cbrt-unprod add-log-exp
times-frac pow1/3 associate-/r/ associate-/l*
frac-times clear-num associate-/r* frac-2neg associate-*l/ associate-*r/ div-inv
Counts
4 → 63
Calls
4 calls:
1.0ms
(cbrt a)
1.0ms
(cbrt a)
1.0ms
(cbrt a)
44.0ms
(/ y (* (/ (cbrt a) (cbrt (- z t))) (/ (cbrt a) (cbrt (- z t)))))

series1.0s

Counts
4 → 12
Calls
4 calls:
257.0ms
(cbrt a)
250.0ms
(cbrt a)
265.0ms
(cbrt a)
256.0ms
(/ y (* (/ (cbrt a) (cbrt (- z t))) (/ (cbrt a) (cbrt (- z t)))))

simplify1.3s

Counts
75 → 75
Iterations

Useful iterations: done (1.3s)

IterNodesCost
011722710
129520613
298520213
done500019451

prune388.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*l*
12×*-un-lft-identity
10×times-frac add-cube-cbrt
add-cbrt-cube add-exp-log
sub-neg associate-*r*
distribute-rgt-in pow1 distribute-lft-in associate--r+ add-log-exp
flip3-- flip--
frac-times prod-exp associate-*r/ cbrt-unprod unswap-sqr
cbrt-undiv diff-log div-exp pow-prod-down associate-*l/ *-commutative div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 58
Calls
2 calls:
5.0ms
(- x (* (/ y a) (- z t)))
23.0ms
(* (/ y a) (- z t))

series120.0ms

Counts
2 → 6
Calls
2 calls:
57.0ms
(- x (* (/ y a) (- z t)))
62.0ms
(* (/ y a) (- z t))

simplify1.5s

Counts
64 → 64
Iterations

Useful iterations: 2 (573.0ms)

IterNodesCost
012414965
132313740
2142813459
done500113459

prune314.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes803.0ms

Accuracy

0% (1.5b remaining)

Error of 1.5b against oracle of 0.0b and baseline of 1.5b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
013405
done13405

end0.0ms

sample1.1s

Algorithm
intervals
Results
496.0ms10689×body80valid