Details

Time bar (total: 15.2s)

sample46.0ms

Algorithm
intervals
Results
27.0ms333×body80valid

simplify1.7s

Counts
1 → 1
Iterations
IterNodes
done5000
102661
9873
8449
7284
6206
5148
489
346
226
115
09

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.6b

localize27.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ (* y (- z t)) a))
0.0b
(* y (- z t))
6.5b
(/ (* y (- z t)) a)

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt *-un-lft-identity
10×add-cbrt-cube add-exp-log
7×add-cube-cbrt
5×pow1 associate-*r* add-log-exp
4×associate-*r/
3×associate-/r* times-frac associate-*l* insert-posit16
2×distribute-rgt-in cbrt-undiv sub-neg distribute-lft-in flip3-- div-exp prod-exp cbrt-unprod flip-- associate-/l/
1×+-commutative clear-num sum-log frac-2neg flip3-+ pow-prod-down *-commutative flip-+ div-inv distribute-lft-out associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 64
Calls
3 calls:
6.0ms
(+ x (/ (* y (- z t)) a))
16.0ms
(* y (- z t))
23.0ms
(/ (* y (- z t)) a)

series180.0ms

Counts
3 → 9
Calls
3 calls:
65.0ms
(+ x (/ (* y (- z t)) a))
53.0ms
(* y (- z t))
61.0ms
(/ (* y (- z t)) a)

simplify1.1s

Counts
73 → 73
Iterations
IterNodes
done5000
21185
1319
0119

prune280.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt a)
0.5b
(cbrt a)
0.5b
(cbrt a)
6.0b
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

rewrite46.0ms

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
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp associate-*l*
6×pow1 distribute-lft-out-- difference-of-squares unswap-sqr
4×insert-posit16 add-log-exp
3×pow1/3
2×div-inv
1×frac-times pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
4 → 108
Calls
4 calls:
1.0ms
(cbrt a)
1.0ms
(cbrt a)
1.0ms
(cbrt a)
43.0ms
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

series903.0ms

Counts
4 → 12
Calls
4 calls:
268.0ms
(cbrt a)
248.0ms
(cbrt a)
259.0ms
(cbrt a)
128.0ms
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

simplify1.8s

Counts
120 → 120
Iterations
IterNodes
done5001
23409
1518
0163

prune614.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (- (/ z (/ a y)) (/ t (/ a y))))
0.0b
(- (/ z (/ a y)) (/ t (/ a y)))
3.7b
(/ t (/ a y))
5.3b
(/ z (/ a y))

rewrite132.0ms

Algorithm
rewrite-expression-head
Rules
212×times-frac
138×add-sqr-sqrt
135×*-un-lft-identity
102×add-cube-cbrt
26×associate-/r*
15×distribute-lft-out--
14×add-cbrt-cube add-exp-log div-inv
11×add-log-exp
9×difference-of-squares
6×cbrt-undiv div-exp associate-/l*
4×pow1 associate-/r/ insert-posit16
2×associate-+r+ clear-num sum-log sub-neg frac-2neg distribute-rgt-out-- diff-log distribute-lft-out
1×+-commutative associate-+r- flip3-+ flip3-- frac-sub flip-+ flip-- sub-div
Counts
4 → 200
Calls
4 calls:
79.0ms
(+ x (- (/ z (/ a y)) (/ t (/ a y))))
35.0ms
(- (/ z (/ a y)) (/ t (/ a y)))
5.0ms
(/ t (/ a y))
5.0ms
(/ z (/ a y))

series161.0ms

Counts
4 → 12
Calls
4 calls:
57.0ms
(+ x (- (/ z (/ a y)) (/ t (/ a y))))
50.0ms
(- (/ z (/ a y)) (/ t (/ a y)))
25.0ms
(/ t (/ a y))
28.0ms
(/ z (/ a y))

simplify1.4s

Counts
212 → 212
Iterations
IterNodes
done5000
23645
1856
0327

prune1.2s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

5.3b
(/ z (/ a y))
10.5b
(cbrt (/ a y))
10.5b
(cbrt (/ a y))
10.5b
(cbrt (/ a y))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
102×times-frac
67×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
39×cbrt-prod
13×associate-/r*
9×add-cbrt-cube add-exp-log
8×div-inv
4×pow1 insert-posit16 add-log-exp
3×cbrt-undiv cbrt-div pow1/3 div-exp associate-/l*
1×clear-num frac-2neg associate-/r/
Counts
4 → 140
Calls
4 calls:
17.0ms
(/ z (/ a y))
1.0ms
(cbrt (/ a y))
1.0ms
(cbrt (/ a y))
1.0ms
(cbrt (/ a y))

series669.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(/ z (/ a y))
97.0ms
(cbrt (/ a y))
478.0ms
(cbrt (/ a y))
70.0ms
(cbrt (/ a y))

simplify1.3s

Counts
152 → 152
Iterations
IterNodes
done5000
21828
1437
0194

prune1.1s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes543.0ms

Accuracy

26.1% (1.7b remaining)

Error of 1.8b against oracle of 0.0b and baseline of 2.4b

bsearch177.0ms

Steps
ItersRangePoint
9
1.0792454867241964e-151
1.4087004580722137e-146
1.2591825253525602e-146
9
-8.12540973971422e+111
-1.0495282834064671e+105
-1.7970758753613627e+105

simplify8.0ms

Iterations
IterNodes
done34
134
026

end0.0ms

sample1.6s

Algorithm
intervals
Results
1.1s10662×body80valid