Details

Time bar (total: 8.4s)

sample37.0ms

Algorithm
intervals
Results
14.0ms348×body80valid

simplify832.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
099
1169
2329
3699
41629
53759
613749
done50019

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.3b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(* y (- z t))
8.0b
(/ (* y (- z t)) a)

rewrite65.0ms

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:
39.0ms
(* y (- z t))
24.0ms
(/ (* y (- z t)) a)

series135.0ms

Counts
2 → 6
Calls
2 calls:
59.0ms
(* y (- z t))
77.0ms
(/ (* y (- z t)) a)

simplify607.0ms

Counts
55 → 55
Iterations

Useful iterations: done (605.0ms)

IterNodesCost
094493
1250473
2968419
done5000399

prune135.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ a (- z t))
7.6b
(/ y (/ a (- z t)))

rewrite44.0ms

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:
12.0ms
(/ a (- z t))
17.0ms
(/ y (/ a (- z t)))

series107.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(/ a (- z t))
73.0ms
(/ y (/ a (- z t)))

simplify1.3s

Counts
145 → 145
Iterations

Useful iterations: done (1.3s)

IterNodesCost
02232062
15631952
227051858
done50001848

prune439.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 1 expressions with local error:

6.6b
(* (/ y a) (- z t))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
13×associate-*l*
11×*-un-lft-identity
10×times-frac
9×add-cube-cbrt
6×add-exp-log add-cbrt-cube
5×associate-*r*
3×pow1
2×distribute-rgt-in frac-times sub-neg flip3-- distribute-lft-in associate-*r/ prod-exp flip-- cbrt-unprod unswap-sqr
1×cbrt-undiv div-exp pow-prod-down associate-*l/ *-commutative div-inv distribute-lft-out-- add-log-exp difference-of-squares
Counts
1 → 42
Calls
1 calls:
31.0ms
(* (/ y a) (- z t))

series60.0ms

Counts
1 → 3
Calls
1 calls:
60.0ms
(* (/ y a) (- z t))

simplify678.0ms

Counts
45 → 45
Iterations

Useful iterations: done (676.0ms)

IterNodesCost
099475
1261466
21192422
done5000410

prune158.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
2.8b
(* (/ (cbrt y) a) (- z t))
4.0b
(* (/ (* (cbrt y) (cbrt y)) 1) (* (/ (cbrt y) a) (- z t)))

rewrite149.0ms

Algorithm
rewrite-expression-head
Rules
66×add-exp-log
35×add-cbrt-cube
33×prod-exp
32×add-sqr-sqrt
29×associate-*l*
24×*-un-lft-identity
23×times-frac
22×add-cube-cbrt
20×cbrt-unprod
18×div-exp
16×cbrt-prod
11×pow1 frac-times associate-*r/
10×cbrt-undiv distribute-rgt-in distribute-lft-in
6×sub-neg flip3-- 1-exp associate-*r* flip--
4×pow-prod-down associate-*l/ add-log-exp
3×unswap-sqr
2×pow1/3 *-commutative div-inv
1×distribute-lft-out-- difference-of-squares
Counts
4 → 135
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
36.0ms
(* (/ (cbrt y) a) (- z t))
105.0ms
(* (/ (* (cbrt y) (cbrt y)) 1) (* (/ (cbrt y) a) (- z t)))

series863.0ms

Counts
4 → 12
Calls
4 calls:
267.0ms
(cbrt y)
270.0ms
(cbrt y)
206.0ms
(* (/ (cbrt y) a) (- z t))
120.0ms
(* (/ (* (cbrt y) (cbrt y)) 1) (* (/ (cbrt y) a) (- z t)))

simplify474.0ms

Counts
147 → 147
Iterations

Useful iterations: done (464.0ms)

IterNodesCost
02242272
17442019
done50001510

prune478.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes297.0ms

Accuracy

34% (1.5b remaining)

Error of 1.6b against oracle of 0.0b and baseline of 2.4b

bsearch2.0ms

simplify6.0ms

Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
02348
13138
done3138

end0.0ms

sample1.5s

Algorithm
intervals
Results
424.0ms10636×body80valid