Details

Time bar (total: 9.3s)

sample22.0ms

Algorithm
intervals
Results
9.0ms345×body80valid

simplify601.0ms

Counts
1 → 1
Iterations

Useful iterations: 5 (46.0ms)

IterNodesCost
099
1169
2329
3679
41489
52428
63268
74128
84988
96138
106258
done6258

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- t z) a)
3.1b
(fma (/ (- t z) a) y x)

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt *-un-lft-identity
15×times-frac
12×add-cube-cbrt
5×associate-/l*
4×add-exp-log add-cbrt-cube distribute-lft-out-- difference-of-squares
3×associate-/r*
2×pow1 expm1-log1p-u log1p-expm1-u associate-/l/ add-log-exp
1×cbrt-undiv flip3-- frac-2neg div-sub div-exp clear-num flip-- fma-udef div-inv
Counts
2 → 50
Calls
2 calls:
9.0ms
(/ (- t z) a)
0.0ms
(fma (/ (- t z) a) y x)

series75.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(/ (- t z) a)
50.0ms
(fma (/ (- t z) a) y x)

simplify2.1s

Counts
56 → 56
Iterations

Useful iterations: 4 (994.0ms)

IterNodesCost
095558
1194536
2449500
31322490
44186489
done5000489

prune141.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.3b
(* (- t z) (/ 1 a))
3.1b
(fma (* (- t z) (/ 1 a)) y x)

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
13×*-un-lft-identity associate-*r*
11×add-exp-log times-frac
10×add-cube-cbrt
7×add-cbrt-cube
5×associate-*l*
4×pow1 prod-exp
3×unswap-sqr
2×expm1-log1p-u frac-times flip3-- div-exp associate-*l/ flip-- cbrt-unprod log1p-expm1-u add-log-exp
1×cbrt-undiv rec-exp 1-exp associate-*r/ pow-prod-down un-div-inv *-commutative fma-udef div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 54
Calls
2 calls:
19.0ms
(* (- t z) (/ 1 a))
0.0ms
(fma (* (- t z) (/ 1 a)) y x)

series71.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(* (- t z) (/ 1 a))
46.0ms
(fma (* (- t z) (/ 1 a)) y x)

simplify1.6s

Counts
60 → 60
Iterations

Useful iterations: 3 (498.0ms)

IterNodesCost
0119656
1277526
2774452
32679442
done5000442

prune137.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ a (- t z))
0.4b
(/ 1 (/ a (- t z)))
3.1b
(fma (/ 1 (/ a (- t z))) y x)

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
103×add-sqr-sqrt *-un-lft-identity
71×add-cube-cbrt
26×associate-/r*
16×add-exp-log distribute-lft-out-- difference-of-squares
11×associate-/r/
10×add-cbrt-cube
8×div-exp
6×div-inv associate-/l*
5×flip3-- flip--
4×pow1 cbrt-undiv
3×expm1-log1p-u log1p-expm1-u add-log-exp
2×rec-exp frac-2neg 1-exp clear-num
1×pow-flip fma-udef inv-pow
Counts
3 → 159
Calls
3 calls:
6.0ms
(/ a (- t z))
10.0ms
(/ 1 (/ a (- t z)))
0.0ms
(fma (/ 1 (/ a (- t z))) y x)

series107.0ms

Counts
3 → 9
Calls
3 calls:
31.0ms
(/ a (- t z))
31.0ms
(/ 1 (/ a (- t z)))
45.0ms
(fma (/ 1 (/ a (- t z))) y x)

simplify1.9s

Counts
168 → 168
Iterations

Useful iterations: done (1.9s)

IterNodesCost
02282280
14791939
211551704
330821642
done50001640

prune283.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ (* y (- z t)) a))
0.0b
(* y (- z t))
5.9b
(/ (* y (- z t)) a)

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
39×add-sqr-sqrt prod-diff
37×*-un-lft-identity
33×add-cube-cbrt
12×times-frac
11×distribute-rgt-in distribute-lft-in
10×add-exp-log add-cbrt-cube
5×pow1 associate-*r* add-log-exp
4×associate-*r/ div-inv
3×expm1-log1p-u sub-neg flip3-- fma-neg associate-*l* associate-/r* flip-- log1p-expm1-u
2×cbrt-undiv div-exp prod-exp cbrt-unprod associate-/l/ distribute-lft-out-- difference-of-squares
1×frac-2neg diff-log pow-prod-down clear-num *-commutative associate-/l* unswap-sqr
Counts
3 → 111
Calls
3 calls:
6.0ms
(- x (/ (* y (- z t)) a))
12.0ms
(* y (- z t))
11.0ms
(/ (* y (- z t)) a)

series132.0ms

Counts
3 → 9
Calls
3 calls:
50.0ms
(- x (/ (* y (- z t)) a))
33.0ms
(* y (- z t))
49.0ms
(/ (* y (- z t)) a)

simplify802.0ms

Counts
120 → 120
Iterations

Useful iterations: 2 (240.0ms)

IterNodesCost
02242333
14941853
217371451
done50011451

prune204.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes294.0ms

Accuracy

84.5% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 3.1b

bsearch1.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02344
12844
done2844

end0.0ms

sample600.0ms

Algorithm
intervals
Results
295.0ms10779×body80valid