Details

Time bar (total: 13.9s)

sample47.0ms

Algorithm
intervals
Results
18.0ms287×body80valid

simplify716.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01011
11811
23311
35811
410111
513211
615911
718111
822411
928111
1031311
1135511
1239011
1340211
done40211

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.6b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(* y (- z t))
10.1b
(/ (* y (- z t)) (- z a))

rewrite82.0ms

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-*r* associate-/r*
4×pow1 associate-*r/
3×flip3-- associate-*l* flip-- distribute-lft-out-- difference-of-squares
2×cbrt-undiv distribute-rgt-in sub-neg distribute-lft-in 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 → 55
Calls
2 calls:
47.0ms
(* y (- z t))
34.0ms
(/ (* y (- z t)) (- z a))

series142.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(* y (- z t))
96.0ms
(/ (* y (- z t)) (- z a))

simplify2.4s

Counts
61 → 61
Iterations

Useful iterations: 2 (142.0ms)

IterNodesCost
0105599
1267575
2869501
33979501
done5000501

prune210.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z a) (- z t))
2.5b
(/ y (/ (- z a) (- z t)))

rewrite76.0ms

Algorithm
rewrite-expression-head
Rules
218×times-frac
194×add-sqr-sqrt *-un-lft-identity
90×add-cube-cbrt
52×distribute-lft-out-- difference-of-squares
36×associate-/r*
11×associate-/r/
9×add-exp-log add-cbrt-cube
8×associate-/l*
6×flip3-- flip-- div-inv
4×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num associate-/l/ add-log-exp
1×div-sub
Counts
2 → 194
Calls
2 calls:
30.0ms
(/ (- z a) (- z t))
35.0ms
(/ y (/ (- z a) (- z t)))

series212.0ms

Counts
2 → 6
Calls
2 calls:
66.0ms
(/ (- z a) (- z t))
146.0ms
(/ y (/ (- z a) (- z t)))

simplify1.4s

Counts
200 → 200
Iterations

Useful iterations: done (1.4s)

IterNodesCost
02683480
16133260
222223158
done50003152

prune745.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize20.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z t) (- z a))
2.4b
(* y (/ (- z t) (- z a)))

rewrite153.0ms

Algorithm
rewrite-expression-head
Rules
75×add-sqr-sqrt
70×*-un-lft-identity
51×times-frac
31×associate-*r*
26×add-cube-cbrt
22×distribute-lft-out-- difference-of-squares
9×add-exp-log add-cbrt-cube
5×associate-/r* associate-/l*
4×pow1 associate-/r/
3×flip3-- associate-*l* flip--
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ add-log-exp unswap-sqr
1×frac-2neg div-sub associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 102
Calls
2 calls:
48.0ms
(/ (- z t) (- z a))
95.0ms
(* y (/ (- z t) (- z a)))

series148.0ms

Counts
2 → 6
Calls
2 calls:
53.0ms
(/ (- z t) (- z a))
95.0ms
(* y (/ (- z t) (- z a)))

simplify2.2s

Counts
108 → 108
Iterations

Useful iterations: 2 (222.0ms)

IterNodesCost
01381319
13471247
29461165
328281165
done50001165

prune346.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize22.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- z a))
8.5b
(* (- z t) (/ y (- z a)))

rewrite96.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
38×*-un-lft-identity
31×times-frac
22×add-cube-cbrt
21×associate-*r*
9×add-exp-log add-cbrt-cube
8×distribute-lft-out-- difference-of-squares
5×associate-*l* associate-/r*
4×pow1 flip3-- associate-/r/ flip--
3×associate-/l*
2×cbrt-undiv frac-times div-exp associate-*l/ prod-exp cbrt-unprod div-inv add-log-exp unswap-sqr
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 83
Calls
2 calls:
21.0ms
(/ y (- z a))
68.0ms
(* (- z t) (/ y (- z a)))

series133.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(/ y (- z a))
95.0ms
(* (- z t) (/ y (- z a)))

simplify2.9s

Counts
89 → 89
Iterations

Useful iterations: 2 (185.0ms)

IterNodesCost
0130977
1294931
21096857
34353857
done5001857

prune367.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes277.0ms

Accuracy

50.2% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 1.5b

bsearch1.0ms

simplify4.0ms

Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
02459
13257
done3257

end0.0ms

sample1.2s

Algorithm
intervals
Results
614.0ms8791×body80valid