Details

Time bar (total: 15.9s)

sample34.0ms

Algorithm
intervals
Results
13.0ms281×body80valid

simplify1.8s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
010205
117205
232205
357205
4104205
5165205
6218205
7291205
8442205
9780205
102292205
done5001205

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.6b

localize32.0ms

Local error

Found 2 expressions with local error:

0.0b
(* y (- z t))
9.5b
(/ (* y (- z t)) (- a t))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
12×*-un-lft-identity
9×add-cbrt-cube add-exp-log
6×add-cube-cbrt
5×associate-/r* times-frac associate-*r*
4×pow1 associate-*r/
3×flip3-- associate-*l* flip-- distribute-lft-out-- difference-of-squares
2×distribute-rgt-in cbrt-undiv sub-neg distribute-lft-in div-exp prod-exp associate-/r/ cbrt-unprod add-log-exp associate-/l/
1×clear-num frac-2neg pow-prod-down *-commutative div-inv associate-/l* unswap-sqr
Counts
2 → 55
Calls
2 calls:
22.0ms
(* y (- z t))
35.0ms
(/ (* y (- z t)) (- a t))

series142.0ms

Counts
2 → 6
Calls
2 calls:
48.0ms
(* y (- z t))
94.0ms
(/ (* y (- z t)) (- a t))

simplify1.2s

Counts
61 → 61
Iterations

Useful iterations: done (1.2s)

IterNodesCost
010511665
128010457
2111410377
done500010137

prune425.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z t) (- a t))
1.1b
(* y (/ (- z t) (- a t)))

rewrite92.0ms

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-cbrt-cube add-exp-log
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 add-log-exp unswap-sqr associate-/l/
1×clear-num frac-2neg div-sub pow-prod-down associate-*r/ *-commutative
Counts
2 → 102
Calls
2 calls:
34.0ms
(/ (- z t) (- a t))
49.0ms
(* y (/ (- z t) (- a t)))

series153.0ms

Counts
2 → 6
Calls
2 calls:
64.0ms
(/ (- z t) (- a t))
89.0ms
(* y (/ (- z t) (- a t)))

simplify1.5s

Counts
108 → 108
Iterations

Useful iterations: done (1.4s)

IterNodesCost
013826916
137424895
2151624489
done500024409

prune639.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize32.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- a t) (- z t))
1.1b
(/ y (/ (- a t) (- z t)))

rewrite66.0ms

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-cbrt-cube add-exp-log
8×associate-/l*
6×flip3-- div-inv flip--
4×cbrt-undiv div-exp
2×pow1 clear-num frac-2neg add-log-exp associate-/l/
1×div-sub
Counts
2 → 194
Calls
2 calls:
17.0ms
(/ (- a t) (- z t))
33.0ms
(/ y (/ (- a t) (- z t)))

series279.0ms

Counts
2 → 6
Calls
2 calls:
54.0ms
(/ (- a t) (- z t))
225.0ms
(/ y (/ (- a t) (- z t)))

simplify2.3s

Counts
200 → 200
Iterations

Useful iterations: done (2.3s)

IterNodesCost
027077703
173272311
2379970601
done500170561

prune1.2s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ a (- z t)) (/ t (- z t)))
0.0b
(/ a (- z t))
0.0b
(/ t (- z t))
1.1b
(/ y (- (/ a (- z t)) (/ t (- z t))))

rewrite262.0ms

Algorithm
rewrite-expression-head
Rules
203×*-un-lft-identity
174×times-frac
153×add-sqr-sqrt
68×distribute-lft-out--
57×add-cube-cbrt
38×difference-of-squares
28×associate-/r* associate-/r/
15×distribute-rgt-out--
14×flip3-- flip--
13×div-inv
10×add-cbrt-cube add-exp-log
9×associate-/l*
6×add-log-exp
4×pow1
3×cbrt-undiv clear-num frac-2neg div-exp
2×frac-sub sub-div
1×sub-neg diff-log
Counts
4 → 194
Calls
4 calls:
81.0ms
(- (/ a (- z t)) (/ t (- z t)))
18.0ms
(/ a (- z t))
17.0ms
(/ t (- z t))
135.0ms
(/ y (- (/ a (- z t)) (/ t (- z t))))

series408.0ms

Counts
4 → 12
Calls
4 calls:
99.0ms
(- (/ a (- z t)) (/ t (- z t)))
58.0ms
(/ a (- z t))
73.0ms
(/ t (- z t))
178.0ms
(/ y (- (/ a (- z t)) (/ t (- z t))))

simplify2.0s

Counts
206 → 206
Iterations

Useful iterations: done (2.0s)

IterNodesCost
027263172
155257890
2215457158
done500157118

prune1.7s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes623.0ms

Accuracy

0% (1.5b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010205
112205
done12205

end0.0ms

sample980.0ms

Algorithm
intervals
Results
504.0ms8781×body80valid