Details

Time bar (total: 5.8s)

sample21.0ms

Algorithm
intervals
Results
10.0ms277×body80valid

simplify151.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
01011
1209
2469
3879
41319
51789
62189
72369
82399
done2399

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.2b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* z (- y t))
6.1b
(/ (* x 2.0) (* z (- y t)))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
18×*-un-lft-identity prod-diff
16×add-exp-log add-cube-cbrt add-cbrt-cube
11×distribute-rgt-in distribute-lft-in
5×associate-*r* prod-exp cbrt-unprod
4×pow1 cbrt-undiv associate-*r/ div-exp
3×associate-*l*
2×expm1-log1p-u sub-neg flip3-- associate-/r/ flip-- log1p-expm1-u add-log-exp
1×frac-2neg times-frac pow-prod-down clear-num associate-/r* *-commutative div-inv associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 71
Calls
2 calls:
11.0ms
(* z (- y t))
6.0ms
(/ (* x 2.0) (* z (- y t)))

series80.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(* z (- y t))
46.0ms
(/ (* x 2.0) (* z (- y t)))

simplify620.0ms

Counts
77 → 77
Iterations

Useful iterations: 2 (105.0ms)

IterNodesCost
01451080
1335905
21587681
done5000681

prune130.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- y t) (/ z 2.0))
5.9b
(/ x (* (- y t) (/ z 2.0)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
16×add-exp-log add-cbrt-cube
14×*-un-lft-identity
13×times-frac associate-*r*
12×add-cube-cbrt
5×cbrt-undiv div-exp associate-*l* associate-/r/
4×pow1 frac-times flip3-- associate-*l/ prod-exp flip-- cbrt-unprod
3×associate-/l*
2×expm1-log1p-u associate-*r/ log1p-expm1-u div-inv add-log-exp unswap-sqr
1×frac-2neg pow-prod-down clear-num associate-/r* *-commutative distribute-lft-out-- difference-of-squares
Counts
2 → 70
Calls
2 calls:
14.0ms
(* (- y t) (/ z 2.0))
7.0ms
(/ x (* (- y t) (/ z 2.0)))

series113.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(* (- y t) (/ z 2.0))
76.0ms
(/ x (* (- y t) (/ z 2.0)))

simplify506.0ms

Counts
76 → 76
Iterations

Useful iterations: 2 (106.0ms)

IterNodesCost
0141855
1351825
21484707
done5001707

prune167.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt x)
0.5b
(cbrt x)
0.5b
(cbrt x)
4.9b
(* (/ (* (cbrt x) (cbrt x)) (- y t)) (/ (cbrt x) (/ z 2.0)))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
154×times-frac
112×add-sqr-sqrt
83×associate-*r*
80×*-un-lft-identity
78×add-cube-cbrt
52×cbrt-prod
40×add-exp-log
28×add-cbrt-cube
15×cbrt-undiv div-exp
12×prod-exp cbrt-unprod
11×associate-*l*
10×unswap-sqr
8×div-inv
6×pow1
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 associate-/r/
1×frac-times flip3-- associate-*r/ pow-prod-down associate-*l/ *-commutative flip-- distribute-lft-out-- difference-of-squares
Counts
4 → 175
Calls
4 calls:
0.0ms
(cbrt x)
0.0ms
(cbrt x)
1.0ms
(cbrt x)
54.0ms
(* (/ (* (cbrt x) (cbrt x)) (- y t)) (/ (cbrt x) (/ z 2.0)))

series621.0ms

Counts
4 → 12
Calls
4 calls:
175.0ms
(cbrt x)
171.0ms
(cbrt x)
173.0ms
(cbrt x)
100.0ms
(* (/ (* (cbrt x) (cbrt x)) (- y t)) (/ (cbrt x) (/ z 2.0)))

simplify373.0ms

Counts
187 → 187
Iterations

Useful iterations: done (368.0ms)

IterNodesCost
03173189
110293022
done50012946

prune498.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (- y t))
5.9b
(/ (/ x (- y t)) (/ z 2.0))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
696×times-frac
384×add-sqr-sqrt *-un-lft-identity
292×add-cube-cbrt
46×distribute-lft-out-- difference-of-squares
38×div-inv
31×associate-/r/
24×associate-/l*
18×associate-/r*
16×add-exp-log add-cbrt-cube
15×flip3-- flip--
9×cbrt-undiv div-exp
2×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
1×associate-/l/
Counts
2 → 368
Calls
2 calls:
5.0ms
(/ x (- y t))
17.0ms
(/ (/ x (- y t)) (/ z 2.0))

series109.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(/ x (- y t))
77.0ms
(/ (/ x (- y t)) (/ z 2.0))

simplify703.0ms

Counts
374 → 374
Iterations

Useful iterations: done (690.0ms)

IterNodesCost
05987986
117797433
done50007425

prune892.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes186.0ms

Accuracy

48.7% (2.7b remaining)

Error of 2.7b against oracle of 0.0b and baseline of 5.3b

bsearch1.0ms

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
01839
12331
done2331

end0.0ms

sample484.0ms

Algorithm
intervals
Results
258.0ms8741×body80valid