Details

Time bar (total: 17.2s)

sample20.0ms

Algorithm
intervals
Results
8.0ms280×body80valid

simplify987.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
01011
12011
23510
35710
49410
513710
618910
721510
824410
927810
1036410
1147910
1255310
1365110
1469110
done69110

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.3b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (* y (/ (- z t) (- a t))))
0.0b
(/ (- z t) (- a t))
2.2b
(* y (/ (- z t) (- a t)))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
77×add-sqr-sqrt
72×*-un-lft-identity
51×times-frac
31×associate-*r*
28×add-cube-cbrt
22×distribute-lft-out-- difference-of-squares
10×add-exp-log add-cbrt-cube
5×pow1 associate-/r* associate-/l* add-log-exp
4×associate-/r/
3×expm1-log1p-u flip3-- fma-def associate-*l* flip-- log1p-expm1-u
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×+-commutative frac-2neg flip3-+ div-sub associate-*r/ pow-prod-down clear-num sum-log *-commutative flip-+
Counts
3 → 122
Calls
3 calls:
2.0ms
(+ x (* y (/ (- z t) (- a t))))
13.0ms
(/ (- z t) (- a t))
30.0ms
(* y (/ (- z t) (- a t)))

series223.0ms

Counts
3 → 9
Calls
3 calls:
90.0ms
(+ x (* y (/ (- z t) (- a t))))
54.0ms
(/ (- z t) (- a t))
78.0ms
(* y (/ (- z t) (- a t)))

simplify1.9s

Counts
131 → 131
Iterations

Useful iterations: done (1.9s)

IterNodesCost
01681615
14341512
211691414
338361414
done50011410

prune378.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ z (- a t))
0.0b
(- (/ z (- a t)) (/ t (- a t)))
0.0b
(/ t (- a t))
2.2b
(* y (- (/ z (- a t)) (/ t (- a t))))

rewrite533.0ms

Algorithm
rewrite-expression-head
Rules
2003×*-un-lft-identity
1985×add-sqr-sqrt
1971×times-frac
1323×prod-diff
1173×add-cube-cbrt
443×distribute-rgt-in distribute-lft-in
413×distribute-lft-out--
401×difference-of-squares
266×associate-/r/
135×flip3-- flip--
133×div-inv
21×fma-neg
18×associate-*r*
10×add-exp-log associate-/r* add-cbrt-cube
6×pow1 distribute-rgt-out-- associate-/l* add-log-exp
4×expm1-log1p-u associate-*r/ log1p-expm1-u
3×sub-neg associate-*l*
2×cbrt-undiv frac-2neg div-exp clear-num frac-sub sub-div
1×diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 1496
Calls
4 calls:
6.0ms
(/ z (- a t))
75.0ms
(- (/ z (- a t)) (/ t (- a t)))
6.0ms
(/ t (- a t))
253.0ms
(* y (- (/ z (- a t)) (/ t (- a t))))

series253.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(/ z (- a t))
76.0ms
(- (/ z (- a t)) (/ t (- a t)))
49.0ms
(/ t (- a t))
96.0ms
(* y (- (/ z (- a t)) (/ t (- a t))))

simplify4.1s

Counts
1508 → 1508
Iterations

Useful iterations: done (4.0s)

IterNodesCost
0128285855
1200377254
2444161026
done500060711

prune2.3s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.7b
(pow (cbrt t) 3)
0.7b
(pow (cbrt t) 3)
0.7b
(pow (cbrt t) 3)
2.2b
(* (- (/ z (- a t)) (/ (pow (cbrt t) 3) (- a t))) y)

rewrite456.0ms

Algorithm
rewrite-expression-head
Rules
74×add-sqr-sqrt
49×*-un-lft-identity
33×times-frac
28×associate-*l*
23×add-cube-cbrt
22×cbrt-prod unpow-prod-down cube-prod
16×difference-of-squares
12×distribute-lft-out--
9×pow1 add-exp-log pow-unpow
6×pow-pow add-cbrt-cube
5×sqr-pow
4×expm1-log1p-u associate-*l/ associate-/r/ log1p-expm1-u add-log-exp
3×cube-mult pow-to-exp flip3-- distribute-rgt-out-- pow1/3 unpow3 associate-*r* pow-exp flip-- rem-cube-cbrt
2×div-inv
1×pow-prod-down prod-exp *-commutative frac-sub cbrt-unprod sub-div unswap-sqr
Counts
4 → 145
Calls
4 calls:
2.0ms
(pow (cbrt t) 3)
2.0ms
(pow (cbrt t) 3)
2.0ms
(pow (cbrt t) 3)
445.0ms
(* (- (/ z (- a t)) (/ (pow (cbrt t) 3) (- a t))) y)

series922.0ms

Counts
4 → 12
Calls
4 calls:
255.0ms
(pow (cbrt t) 3)
236.0ms
(pow (cbrt t) 3)
247.0ms
(pow (cbrt t) 3)
183.0ms
(* (- (/ z (- a t)) (/ (pow (cbrt t) 3) (- a t))) y)

simplify1.3s

Counts
157 → 157
Iterations

Useful iterations: 2 (121.0ms)

IterNodesCost
01531704
13431208
28511131
324771131
done50001131

prune506.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (/ z (/ (- a t) y)) (* y (- (/ t (- a t)))))
0.0b
(/ t (- a t))
2.6b
(* y (- (/ t (- a t))))
6.6b
(/ z (/ (- a t) y))

rewrite121.0ms

Algorithm
rewrite-expression-head
Rules
264×times-frac
201×add-sqr-sqrt
199×*-un-lft-identity
137×add-cube-cbrt
62×fma-def
46×associate-*r*
31×distribute-lft-out-- difference-of-squares
24×associate-/r*
21×distribute-lft-neg-in distribute-rgt-neg-in
13×add-exp-log add-cbrt-cube
12×div-inv
8×associate-/r/
6×pow1 associate-/l* add-log-exp
4×cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u
3×flip3-- associate-*l* distribute-rgt-neg-out flip--
2×frac-2neg associate-*r/ clear-num distribute-neg-frac
1×+-commutative neg-mul-1 flip3-+ unsub-neg pow-prod-down frac-add prod-exp sum-log *-commutative cbrt-unprod flip-+ unswap-sqr
Counts
4 → 278
Calls
4 calls:
56.0ms
(+ (/ z (/ (- a t) y)) (* y (- (/ t (- a t)))))
5.0ms
(/ t (- a t))
35.0ms
(* y (- (/ t (- a t))))
9.0ms
(/ z (/ (- a t) y))

series355.0ms

Counts
4 → 12
Calls
4 calls:
162.0ms
(+ (/ z (/ (- a t) y)) (* y (- (/ t (- a t)))))
49.0ms
(/ t (- a t))
40.0ms
(* y (- (/ t (- a t))))
103.0ms
(/ z (/ (- a t) y))

simplify1.1s

Counts
290 → 290
Iterations

Useful iterations: done (1.1s)

IterNodesCost
03432942
18102715
223572578
done50002565

prune975.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes150.0ms

Accuracy

0% (1.3b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 1.4b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01520
12420
22720
32820
done2820

end0.0ms

sample528.0ms

Algorithm
intervals
Results
267.0ms8722×body80valid
0.0ms1×body640valid