Details

Time bar (total: 13.7s)

sample37.0ms

Algorithm
intervals
Results
13.0ms368×body80valid

simplify72.0ms

Counts
1 → 1
Iterations
IterNodes
done69
569
463
345
233
116
09

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.2b

localize24.0ms

Local error

Found 2 expressions with local error:

0.2b
(- (* x y) (* z t))
7.8b
(/ (- (* x y) (* z t)) a)

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
times-frac
add-cbrt-cube add-exp-log add-log-exp
associate-/r* associate-/l*
pow1 flip3-- flip-- associate-/l/
cbrt-undiv clear-num sub-neg frac-2neg diff-log div-sub div-exp div-inv
Counts
2 → 42
Calls
2 calls:
11.0ms
(- (* x y) (* z t))
28.0ms
(/ (- (* x y) (* z t)) a)

series128.0ms

Counts
2 → 6
Calls
2 calls:
59.0ms
(- (* x y) (* z t))
69.0ms
(/ (- (* x y) (* z t)) a)

simplify2.1s

Counts
48 → 48
Iterations
IterNodes
done5000
33873
2729
1210
080

prune301.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 7.8b

localize30.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ (* x y) a) (/ (* z t) a))
4.5b
(/ (* z t) a)
8.6b
(/ (* x y) a)

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
13×add-cbrt-cube add-exp-log
add-sqr-sqrt *-un-lft-identity
add-cube-cbrt
associate-/r* times-frac
add-log-exp
cbrt-undiv div-exp div-inv
pow1
clear-num frac-2neg prod-exp cbrt-unprod associate-/l*
sub-neg flip3-- distribute-rgt-out-- diff-log frac-sub flip-- distribute-lft-out-- sub-div difference-of-squares
Counts
3 → 59
Calls
3 calls:
22.0ms
(- (/ (* x y) a) (/ (* z t) a))
15.0ms
(/ (* z t) a)
14.0ms
(/ (* x y) a)

series157.0ms

Counts
3 → 9
Calls
3 calls:
109.0ms
(- (/ (* x y) a) (/ (* z t) a))
26.0ms
(/ (* z t) a)
22.0ms
(/ (* x y) a)

simplify1.3s

Counts
68 → 68
Iterations
IterNodes
done5000
21557
1302
0114

prune554.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.3b

localize31.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x (/ y a)) (/ (* z t) a))
4.5b
(/ (* z t) a)
6.1b
(* x (/ y a))

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
13×*-un-lft-identity times-frac add-cbrt-cube associate-*r* add-exp-log add-cube-cbrt
pow1 add-log-exp
cbrt-undiv associate-/r* div-exp associate-*l* prod-exp associate-*r/ cbrt-unprod
div-inv unswap-sqr
clear-num sub-neg frac-2neg flip3-- diff-log pow-prod-down *-commutative frac-sub flip-- associate-/l* sub-div
Counts
3 → 67
Calls
3 calls:
15.0ms
(- (* x (/ y a)) (/ (* z t) a))
17.0ms
(/ (* z t) a)
19.0ms
(* x (/ y a))

series154.0ms

Counts
3 → 9
Calls
3 calls:
89.0ms
(- (* x (/ y a)) (/ (* z t) a))
29.0ms
(/ (* z t) a)
36.0ms
(* x (/ y a))

simplify1.2s

Counts
76 → 76
Iterations
IterNodes
done5000
21581
1359
0135

prune535.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a)
0.6b
(cbrt a)
3.8b
(* (/ (/ x (cbrt a)) (cbrt a)) (/ y (cbrt a)))
4.5b
(/ (* z t) a)

rewrite151.0ms

Algorithm
rewrite-expression-head
Rules
305×times-frac
230×add-sqr-sqrt
157×cbrt-prod
144×*-un-lft-identity add-cube-cbrt
136×associate-*l*
30×add-exp-log
22×associate-*r*
21×add-cbrt-cube unswap-sqr
11×cbrt-undiv div-exp
div-inv
prod-exp cbrt-unprod
pow1
add-log-exp
associate-/r*
pow1/3
frac-times clear-num frac-2neg pow-prod-down associate-*l/ associate-*r/ *-commutative associate-/l*
Counts
4 → 246
Calls
4 calls:
1.0ms
(cbrt a)
1.0ms
(cbrt a)
123.0ms
(* (/ (/ x (cbrt a)) (cbrt a)) (/ y (cbrt a)))
7.0ms
(/ (* z t) a)

series637.0ms

Counts
4 → 12
Calls
4 calls:
275.0ms
(cbrt a)
272.0ms
(cbrt a)
65.0ms
(* (/ (/ x (cbrt a)) (cbrt a)) (/ y (cbrt a)))
24.0ms
(/ (* z t) a)

simplify992.0ms

Counts
258 → 258
Iterations
IterNodes
done5001
11069
0326

prune2.2s

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0b

regimes1.8s

Accuracy

82.8% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 7.4b

bsearch2.0ms

simplify8.0ms

Iterations
IterNodes
done32
132
022

end0.0ms

sample1.1s

Algorithm
intervals
Results
567.0ms11183×body80valid