Details

Time bar (total: 9.4s)

sample23.0ms

Algorithm
intervals
Results
8.0ms276×body80valid

simplify962.0ms

Counts
1 → 1
Iterations

Useful iterations: 3 (14.0ms)

IterNodesCost
01011
11711
23211
36010
411110
515610
620610
725110
830110
938610
1048410
1155210
1261610
1364410
done64410

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- a t))
3.3b
(fma (/ y (- a t)) (- z t) x)

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt *-un-lft-identity
15×times-frac
12×add-cube-cbrt
associate-/r*
add-exp-log add-cbrt-cube distribute-lft-out-- difference-of-squares
associate-/l*
pow1 expm1-log1p-u associate-/r/ log1p-expm1-u add-log-exp
cbrt-undiv flip3-- frac-2neg div-exp clear-num flip-- fma-udef div-inv
Counts
2 → 49
Calls
2 calls:
12.0ms
(/ y (- a t))
0.0ms
(fma (/ y (- a t)) (- z t) x)

series243.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(/ y (- a t))
203.0ms
(fma (/ y (- a t)) (- z t) x)

simplify1.3s

Counts
55 → 55
Iterations

Useful iterations: 4 (494.0ms)

IterNodesCost
092550
1167533
2348493
3761491
42276490
done5000490

prune155.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- a t))
0.2b
(* y (/ 1 (- a t)))
3.3b
(fma (* y (/ 1 (- a t))) (- z t) x)

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
44×add-sqr-sqrt
38×*-un-lft-identity
32×times-frac
23×add-cube-cbrt
21×associate-*r*
16×add-exp-log
10×add-cbrt-cube
distribute-lft-out-- difference-of-squares
pow1
associate-/r*
div-exp prod-exp associate-/r/
expm1-log1p-u associate-*l* log1p-expm1-u associate-/l* add-log-exp unswap-sqr
cbrt-undiv rec-exp flip3-- 1-exp flip-- cbrt-unprod div-inv
pow-flip frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv *-commutative fma-udef inv-pow
Counts
3 → 99
Calls
3 calls:
15.0ms
(/ 1 (- a t))
31.0ms
(* y (/ 1 (- a t)))
0.0ms
(fma (* y (/ 1 (- a t))) (- z t) x)

series261.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(/ 1 (- a t))
32.0ms
(* y (/ 1 (- a t)))
191.0ms
(fma (* y (/ 1 (- a t))) (- z t) x)

simplify2.0s

Counts
108 → 108
Iterations

Useful iterations: 4 (949.0ms)

IterNodesCost
01321055
1278835
2527749
31134747
43258746
done5000746

prune224.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(* y (- z t))
12.2b
(/ (* y (- z t)) (- a t))

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
24×*-un-lft-identity
18×add-cube-cbrt prod-diff
11×distribute-rgt-in distribute-lft-in
add-exp-log add-cbrt-cube
times-frac associate-*r* associate-/r*
pow1 associate-*r/
flip3-- associate-*l* flip-- distribute-lft-out-- difference-of-squares
cbrt-undiv expm1-log1p-u sub-neg div-exp prod-exp associate-/r/ cbrt-unprod log1p-expm1-u associate-/l/ add-log-exp
frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l* unswap-sqr
Counts
2 → 77
Calls
2 calls:
24.0ms
(* y (- z t))
32.0ms
(/ (* y (- z t)) (- a t))

series121.0ms

Counts
2 → 6
Calls
2 calls:
41.0ms
(* y (- z t))
81.0ms
(/ (* y (- z t)) (- a t))

simplify876.0ms

Counts
83 → 83
Iterations

Useful iterations: done (873.0ms)

IterNodesCost
01571123
1347936
21005772
done5000748

prune179.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z t) (- a t))
0.9b
(* y (/ (- z t) (- a t)))

rewrite80.0ms

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
add-exp-log add-cbrt-cube
associate-/r* associate-/l*
pow1 associate-/r/
flip3-- associate-*l* flip--
cbrt-undiv expm1-log1p-u div-exp prod-exp cbrt-unprod log1p-expm1-u div-inv associate-/l/ add-log-exp unswap-sqr
frac-2neg div-sub associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 106
Calls
2 calls:
25.0ms
(/ (- z t) (- a t))
50.0ms
(* y (/ (- z t) (- a t)))

series137.0ms

Counts
2 → 6
Calls
2 calls:
58.0ms
(/ (- z t) (- a t))
79.0ms
(* y (/ (- z t) (- a t)))

simplify1.6s

Counts
112 → 112
Iterations

Useful iterations: 2 (154.0ms)

IterNodesCost
01421355
13521282
29701200
329051200
done50001200

prune291.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes120.0ms

Accuracy

0% (1.4b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01011
11211
done1211

end0.0ms

sample629.0ms

Algorithm
intervals
Results
257.0ms8702×body80valid
0.0msbody320valid
0.0msbody160valid