Details

Time bar (total: 6.9s)

sample20.0ms

Algorithm
intervals
Results
8.0ms277×body80valid

simplify1.2s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01011
11711
23511
36011
49511
513611
616511
719011
822411
927111
1036411
1154111
1271011
1373811
1474211
done74211

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.6b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- y z) t)
11.2b
(/ (* (- y z) t) (- a z))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
12×*-un-lft-identity
add-exp-log add-cbrt-cube
add-cube-cbrt
times-frac associate-*l* associate-/r*
pow1 associate-*l/
flip3-- associate-*r* flip-- distribute-lft-out-- difference-of-squares
cbrt-undiv div-exp prod-exp associate-/r/ cbrt-unprod associate-/l/ add-log-exp
frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l* unswap-sqr
Counts
2 → 51
Calls
2 calls:
10.0ms
(* (- y z) t)
10.0ms
(/ (* (- y z) t) (- a z))

series93.0ms

Counts
2 → 6
Calls
2 calls:
27.0ms
(* (- y z) t)
66.0ms
(/ (* (- y z) t) (- a z))

simplify415.0ms

Counts
57 → 57
Iterations

Useful iterations: 2 (78.0ms)

IterNodesCost
0101565
1262545
21124471
done5000471

prune137.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- a z) t)
9.3b
(/ (- y z) (/ (- a z) t))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
200×times-frac
170×add-sqr-sqrt *-un-lft-identity
86×add-cube-cbrt
42×distribute-lft-out-- difference-of-squares
22×associate-/r*
10×associate-/l*
add-exp-log add-cbrt-cube
div-inv
cbrt-undiv div-exp associate-/l/
pow1 flip3-- frac-2neg div-sub clear-num flip-- add-log-exp
associate-/r/
Counts
2 → 175
Calls
2 calls:
11.0ms
(/ (- a z) t)
15.0ms
(/ (- y z) (/ (- a z) t))

series124.0ms

Counts
2 → 6
Calls
2 calls:
26.0ms
(/ (- a z) t)
97.0ms
(/ (- y z) (/ (- a z) t))

simplify931.0ms

Counts
181 → 181
Iterations

Useful iterations: 2 (388.0ms)

IterNodesCost
02473130
17012938
225982836
done50002836

prune412.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- a z) t)
0.5b
(/ 1 (/ (/ (- a z) t) (- y z)))
9.0b
(/ (/ (- a z) t) (- y z))

rewrite118.0ms

Algorithm
rewrite-expression-head
Rules
1183×times-frac
805×add-sqr-sqrt *-un-lft-identity
449×add-cube-cbrt
178×distribute-lft-out-- difference-of-squares
109×associate-/r*
33×div-inv
31×add-exp-log
27×associate-/l*
19×div-exp add-cbrt-cube
11×associate-/r/
10×cbrt-undiv
flip3-- flip--
pow1
rec-exp frac-2neg 1-exp div-sub clear-num associate-/l/ add-log-exp
pow-flip inv-pow
Counts
3 → 607
Calls
3 calls:
8.0ms
(/ (- a z) t)
35.0ms
(/ 1 (/ (/ (- a z) t) (- y z)))
17.0ms
(/ (/ (- a z) t) (- y z))

series261.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(/ (- a z) t)
166.0ms
(/ 1 (/ (/ (- a z) t) (- y z)))
60.0ms
(/ (/ (- a z) t) (- y z))

simplify661.0ms

Counts
616 → 616
Iterations

Useful iterations: done (637.0ms)

IterNodesCost
068213837
1172112459
done500011547

prune945.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ t (- a z))
8.7b
(* (- y z) (/ t (- a z)))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
38×*-un-lft-identity
31×times-frac
22×add-cube-cbrt
21×associate-*r*
add-exp-log add-cbrt-cube
distribute-lft-out-- difference-of-squares
associate-*l* associate-/r*
pow1 flip3-- associate-/r/ flip--
associate-/l*
cbrt-undiv frac-times div-exp associate-*l/ prod-exp cbrt-unprod div-inv add-log-exp unswap-sqr
frac-2neg associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 83
Calls
2 calls:
5.0ms
(/ t (- a z))
26.0ms
(* (- y z) (/ t (- a z)))

series91.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(/ t (- a z))
60.0ms
(* (- y z) (/ t (- a z)))

simplify493.0ms

Counts
89 → 89
Iterations

Useful iterations: 2 (97.0ms)

IterNodesCost
0130977
1299931
21262857
done5000857

prune205.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes145.0ms

Accuracy

0% (2.7b remaining)

Error of 2.8b against oracle of 0.0b and baseline of 2.8b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01213
11513
done1513

end0.0ms

sample511.0ms

Algorithm
intervals
Results
258.0ms8736×body80valid
0.0msbody640valid
0.0msbody320valid