Details

Time bar (total: 13.8s)

sample39.0ms

Algorithm
intervals
Results
14.0ms321×body80valid

simplify2.3s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
099
1159
2269
3469
4899
51489
61899
72589
84079
97619
1023289
done50019

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.2b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(* y (- z t))
4.1b
(/ (* y (- z t)) a)

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
9×add-exp-log add-cbrt-cube
8×*-un-lft-identity
6×add-cube-cbrt
5×associate-*r*
4×pow1 associate-*r/
3×times-frac associate-*l* associate-/r*
2×cbrt-undiv distribute-rgt-in sub-neg flip3-- distribute-lft-in div-exp prod-exp flip-- cbrt-unprod associate-/l/ add-log-exp
1×frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 49
Calls
2 calls:
28.0ms
(* y (- z t))
25.0ms
(/ (* y (- z t)) a)

series131.0ms

Counts
2 → 6
Calls
2 calls:
54.0ms
(* y (- z t))
77.0ms
(/ (* y (- z t)) a)

simplify802.0ms

Counts
55 → 55
Iterations

Useful iterations: done (800.0ms)

IterNodesCost
094493
1250473
2968419
done5000399

prune181.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z t) a)
7.1b
(* y (/ (- z t) a))

rewrite98.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
36×*-un-lft-identity
31×times-frac
22×add-cube-cbrt
19×associate-*r*
9×add-exp-log add-cbrt-cube
7×distribute-lft-out-- difference-of-squares
5×associate-/l*
4×pow1
3×associate-*l* associate-/r*
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ add-log-exp unswap-sqr
1×flip3-- frac-2neg div-sub associate-*r/ pow-prod-down clear-num *-commutative flip--
Counts
2 → 76
Calls
2 calls:
31.0ms
(/ (- z t) a)
55.0ms
(* y (/ (- z t) a))

series118.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(/ (- z t) a)
80.0ms
(* y (/ (- z t) a))

simplify783.0ms

Counts
82 → 82
Iterations

Useful iterations: done (781.0ms)

IterNodesCost
0116831
1295791
21255725
done5001719

prune326.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.2b
(* (- z t) (/ 1 a))
7.1b
(* y (* (- z t) (/ 1 a)))

rewrite116.0ms

Algorithm
rewrite-expression-head
Rules
26×add-exp-log
20×add-sqr-sqrt
16×add-cbrt-cube
14×*-un-lft-identity associate-*r*
13×prod-exp
11×add-cube-cbrt times-frac
9×pow1
8×associate-*r/ associate-*l*
7×cbrt-unprod
4×frac-times flip3-- div-exp pow-prod-down associate-*l/ flip--
3×unswap-sqr
2×cbrt-undiv rec-exp 1-exp un-div-inv *-commutative add-log-exp
1×div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 70
Calls
2 calls:
59.0ms
(* (- z t) (/ 1 a))
52.0ms
(* y (* (- z t) (/ 1 a)))

series112.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(* (- z t) (/ 1 a))
80.0ms
(* y (* (- z t) (/ 1 a)))

simplify3.8s

Counts
76 → 76
Iterations

Useful iterations: done (3.8s)

IterNodesCost
0133863
1353790
22382591
done5000573

prune267.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ a (- z t))
7.4b
(/ y (/ a (- z t)))

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
102×add-sqr-sqrt *-un-lft-identity
70×add-cube-cbrt
26×associate-/r*
16×distribute-lft-out-- difference-of-squares
11×associate-/r/
9×add-exp-log add-cbrt-cube
6×div-inv associate-/l*
5×flip3-- flip--
4×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num add-log-exp
Counts
2 → 139
Calls
2 calls:
21.0ms
(/ a (- z t))
31.0ms
(/ y (/ a (- z t)))

series117.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(/ a (- z t))
79.0ms
(/ y (/ a (- z t)))

simplify1.6s

Counts
145 → 145
Iterations

Useful iterations: done (1.6s)

IterNodesCost
02232062
15631952
227051858
done50001848

prune597.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes383.0ms

Accuracy

87.2% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 2.6b

bsearch2.0ms

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
01843
12535
done2535

end0.0ms

sample1.8s

Algorithm
intervals
Results
591.0ms10573×body80valid