Details

Time bar (total: 13.3s)

sample21.0ms

Algorithm
intervals
Results
8.0ms283×body80valid

simplify1.4s

Counts
1 → 1
Iterations

Useful iterations: 3 (8.0ms)

IterNodesCost
01011
11711
23211
36010
410210
515510
621310
726910
832010
941210
1065810
1186910
12100810
13102010
done102010

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- a t))
4.0b
(fma (/ y (- a t)) (- z t) x)

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt *-un-lft-identity
15×times-frac
12×add-cube-cbrt
5×associate-/r*
4×add-exp-log add-cbrt-cube distribute-lft-out-- difference-of-squares
3×associate-/l*
2×pow1 expm1-log1p-u associate-/r/ log1p-expm1-u add-log-exp
1×cbrt-undiv flip3-- frac-2neg div-exp clear-num flip-- fma-udef div-inv
Counts
2 → 49
Calls
2 calls:
5.0ms
(/ y (- a t))
0.0ms
(fma (/ y (- a t)) (- z t) x)

series208.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(/ y (- a t))
176.0ms
(fma (/ y (- a t)) (- z t) x)

simplify2.0s

Counts
55 → 55
Iterations

Useful iterations: 4 (610.0ms)

IterNodesCost
092550
1171533
2444493
31243491
43729490
done5001490

prune168.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- a t))
0.2b
(* y (/ 1 (- a t)))
4.0b
(fma (* y (/ 1 (- a t))) (- z t) x)

rewrite28.0ms

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
7×distribute-lft-out-- difference-of-squares
6×pow1
5×associate-/r*
4×div-exp prod-exp associate-/r/
3×expm1-log1p-u associate-*l* log1p-expm1-u associate-/l* add-log-exp unswap-sqr
2×cbrt-undiv rec-exp flip3-- 1-exp flip-- cbrt-unprod div-inv
1×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:
5.0ms
(/ 1 (- a t))
16.0ms
(* y (/ 1 (- a t)))
0.0ms
(fma (* y (/ 1 (- a t))) (- z t) x)

series250.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(/ 1 (- a t))
29.0ms
(* y (/ 1 (- a t)))
185.0ms
(fma (* y (/ 1 (- a t))) (- z t) x)

simplify1.9s

Counts
108 → 108
Iterations

Useful iterations: done (1.9s)

IterNodesCost
01321055
1290879
2941749
32297747
done5000746

prune253.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- a t))
4.0b
(fma (pow (/ y (- a t)) 1) (- z t) x)

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt *-un-lft-identity
15×times-frac
12×add-cube-cbrt
5×associate-/r*
4×add-exp-log add-cbrt-cube distribute-lft-out-- difference-of-squares
3×associate-/l*
2×pow1 expm1-log1p-u associate-/r/ log1p-expm1-u add-log-exp
1×cbrt-undiv flip3-- frac-2neg div-exp clear-num flip-- fma-udef div-inv
Counts
2 → 49
Calls
2 calls:
5.0ms
(/ y (- a t))
0.0ms
(fma (pow (/ y (- a t)) 1) (- z t) x)

series213.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(/ y (- a t))
184.0ms
(fma (pow (/ y (- a t)) 1) (- z t) x)

simplify775.0ms

Counts
55 → 55
Iterations

Useful iterations: done (774.0ms)

IterNodesCost
093576
1174533
2481493
31631491
done5000490

prune176.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- a t) y)
0.4b
(/ 1 (/ (- a t) y))
4.0b
(fma (pow (/ 1 (/ (- a t) y)) 1) (- z t) x)

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
132×times-frac
101×add-sqr-sqrt *-un-lft-identity
69×add-cube-cbrt
22×associate-/r*
16×add-exp-log distribute-lft-out-- difference-of-squares
10×add-cbrt-cube
8×div-exp associate-/l*
6×div-inv
4×pow1 cbrt-undiv
3×expm1-log1p-u log1p-expm1-u add-log-exp
2×rec-exp frac-2neg 1-exp clear-num associate-/l/
1×flip3-- pow-flip div-sub associate-/r/ flip-- fma-udef inv-pow
Counts
3 → 152
Calls
3 calls:
8.0ms
(/ (- a t) y)
9.0ms
(/ 1 (/ (- a t) y))
0.0ms
(fma (pow (/ 1 (/ (- a t) y)) 1) (- z t) x)

series301.0ms

Counts
3 → 9
Calls
3 calls:
31.0ms
(/ (- a t) y)
69.0ms
(/ 1 (/ (- a t) y))
200.0ms
(fma (pow (/ 1 (/ (- a t) y)) 1) (- z t) x)

simplify4.4s

Counts
161 → 161
Iterations

Useful iterations: 3 (1.3s)

IterNodesCost
02112176
14791889
216001580
349931548
done50001548

prune349.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

regimes258.0ms

Accuracy

90.5% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 2.9b

bsearch1.0ms

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
02059
12746
done2746

end0.0ms

sample550.0ms

Algorithm
intervals
Results
278.0ms8727×body80valid
0.0ms1×body1280valid
0.0ms1×body160valid