Details

Time bar (total: 9.5s)

sample20.0ms

Algorithm
intervals
Results
8.0ms277×body80valid

simplify541.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01011
11711
23511
35911
49411
512011
614611
716511
818711
923211
1032411
1148111
1250911
1352811
1453011
done53011

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))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
12×*-un-lft-identity
9×add-exp-log add-cbrt-cube
6×add-cube-cbrt
5×times-frac associate-*l* associate-/r*
4×pow1 associate-*l/
3×flip3-- associate-*r* flip-- distribute-lft-out-- difference-of-squares
2×cbrt-undiv div-exp prod-exp associate-/r/ cbrt-unprod associate-/l/ add-log-exp
1×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)
9.0ms
(/ (* (- y z) t) (- a z))

series95.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(* (- y z) t)
66.0ms
(/ (* (- y z) t) (- a z))

simplify1.4s

Counts
57 → 57
Iterations

Useful iterations: 2 (102.0ms)

IterNodesCost
0101565
1256545
21016471
done5000471

prune140.0ms

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))

rewrite32.0ms

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*
9×add-exp-log add-cbrt-cube
8×div-inv
4×cbrt-undiv div-exp associate-/l/
2×pow1 flip3-- frac-2neg div-sub clear-num flip-- add-log-exp
1×associate-/r/
Counts
2 → 175
Calls
2 calls:
7.0ms
(/ (- a z) t)
15.0ms
(/ (- y z) (/ (- a z) t))

series123.0ms

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

simplify789.0ms

Counts
181 → 181
Iterations

Useful iterations: 2 (266.0ms)

IterNodesCost
02473130
16992938
221502836
done50012836

prune417.0ms

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))

rewrite113.0ms

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
6×flip3-- flip--
4×pow1
3×rec-exp frac-2neg 1-exp div-sub clear-num associate-/l/ add-log-exp
1×pow-flip inv-pow
Counts
3 → 607
Calls
3 calls:
7.0ms
(/ (- a z) t)
31.0ms
(/ 1 (/ (/ (- a z) t) (- y z)))
16.0ms
(/ (/ (- a z) t) (- y z))

series245.0ms

Counts
3 → 9
Calls
3 calls:
26.0ms
(/ (- a z) t)
158.0ms
(/ 1 (/ (/ (- a z) t) (- y z)))
61.0ms
(/ (/ (- a z) t) (- y z))

simplify1.6s

Counts
616 → 616
Iterations

Useful iterations: 2 (1.1s)

IterNodesCost
068213837
1171112211
2406410967
done500010967

prune928.0ms

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
(* (/ t (- a z)) (- y z))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
38×*-un-lft-identity
31×times-frac
22×add-cube-cbrt
21×associate-*l*
9×add-exp-log add-cbrt-cube
8×distribute-lft-out-- difference-of-squares
5×associate-*r* associate-/r*
4×pow1 flip3-- associate-/r/ flip--
3×associate-/l*
2×cbrt-undiv distribute-rgt-in frac-times sub-neg distribute-lft-in associate-*r/ div-exp prod-exp cbrt-unprod div-inv add-log-exp unswap-sqr
1×frac-2neg pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 87
Calls
2 calls:
8.0ms
(/ t (- a z))
22.0ms
(* (/ t (- a z)) (- y z))

series178.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(/ t (- a z))
146.0ms
(* (/ t (- a z)) (- y z))

simplify1.9s

Counts
93 → 93
Iterations

Useful iterations: done (1.9s)

IterNodesCost
01421025
1341997
21120921
33807921
done5000920

prune212.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes147.0ms

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

sample523.0ms

Algorithm
intervals
Results
272.0ms8736×body80valid
0.0ms1×body640valid
0.0ms1×body320valid