Details

Time bar (total: 14.2s)

sample25.0ms

Algorithm
intervals
Results
11.0ms281×body80valid

simplify1.7s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010205
120205
234205
355205
495205
5156205
6258205
7295205
8366205
9508205
10835205
112304205
done5000205

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite87.0ms

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:
36.0ms
(/ (- z t) (- a t))
43.0ms
(* y (/ (- z t) (- a t)))

series145.0ms

Counts
2 → 6
Calls
2 calls:
71.0ms
(/ (- z t) (- a t))
73.0ms
(* y (/ (- z t) (- a t)))

simplify1.0s

Counts
108 → 108
Iterations

Useful iterations: done (1.0s)

IterNodesCost
013826916
137424895
2151624489
done500024409

prune502.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

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

rewrite389.0ms

Algorithm
rewrite-expression-head
Rules
98×*-un-lft-identity
80×add-sqr-sqrt
66×times-frac
32×distribute-lft-out--
30×add-cube-cbrt
20×difference-of-squares
18×associate-*r*
12×associate-/r/
10×associate-/r* add-cbrt-cube add-exp-log
8×flip3-- flip--
6×pow1 distribute-rgt-out-- div-inv associate-/l* add-log-exp
4×associate-*r/
3×sub-neg associate-*l*
2×distribute-rgt-in cbrt-undiv clear-num frac-2neg distribute-lft-in div-exp frac-sub sub-div
1×diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 144
Calls
4 calls:
87.0ms
(- (/ z (- a t)) (/ t (- a t)))
13.0ms
(/ t (- a t))
13.0ms
(/ z (- a t))
271.0ms
(* y (- (/ z (- a t)) (/ t (- a t))))

series283.0ms

Counts
4 → 12
Calls
4 calls:
79.0ms
(- (/ z (- a t)) (/ t (- a t)))
72.0ms
(/ t (- a t))
41.0ms
(/ z (- a t))
90.0ms
(* y (- (/ z (- a t)) (/ t (- a t))))

simplify1.2s

Counts
156 → 156
Iterations

Useful iterations: done (1.2s)

IterNodesCost
019635080
147632277
2154931873
done500031833

prune930.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize25.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- a t) (- z t))
0.2b
(/ 1 (/ (- a t) (- z t)))
1.1b
(* y (/ 1 (/ (- a t) (- z t))))

rewrite184.0ms

Algorithm
rewrite-expression-head
Rules
392×times-frac
335×add-sqr-sqrt
323×*-un-lft-identity
157×add-cube-cbrt
98×associate-*r*
82×distribute-lft-out-- difference-of-squares
36×associate-/r*
35×add-exp-log
19×add-cbrt-cube
18×associate-/r/
15×div-exp
10×div-inv
9×flip3-- flip--
8×associate-/l*
7×cbrt-undiv prod-exp
6×pow1
5×unswap-sqr
4×rec-exp 1-exp
3×associate-*l* cbrt-unprod add-log-exp
2×clear-num frac-2neg associate-/l/
1×div-sub pow-prod-down associate-*r/ un-div-inv *-commutative pow-flip inv-pow
Counts
3 → 327
Calls
3 calls:
32.0ms
(/ (- a t) (- z t))
25.0ms
(/ 1 (/ (- a t) (- z t)))
94.0ms
(* y (/ 1 (/ (- a t) (- z t))))

series464.0ms

Counts
3 → 9
Calls
3 calls:
81.0ms
(/ (- a t) (- z t))
165.0ms
(/ 1 (/ (- a t) (- z t)))
218.0ms
(* y (/ 1 (/ (- a t) (- z t))))

simplify994.0ms

Counts
336 → 336
Iterations

Useful iterations: done (944.0ms)

IterNodesCost
0351119816
1103392430
done500088541

prune1.6s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite82.0ms

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:
36.0ms
(/ (- a t) (- z t))
30.0ms
(/ y (/ (- a t) (- z t)))

series230.0ms

Counts
2 → 6
Calls
2 calls:
65.0ms
(/ (- a t) (- z t))
165.0ms
(/ y (/ (- a t) (- z t)))

simplify1.9s

Counts
200 → 200
Iterations

Useful iterations: done (1.9s)

IterNodesCost
027077703
173272311
2379970601
done500170561

prune989.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes364.0ms

Accuracy

0% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 1.3b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010205
111205
done11205

end0.0ms

sample950.0ms

Algorithm
intervals
Results
557.0ms8781×body80valid