Details

Time bar (total: 15.4s)

sample35.0ms

Algorithm
intervals
Results
16.0ms283×body80valid

simplify224.0ms

Counts
1 → 1
Iterations
IterNodes
done203
8203
7201
6182
5156
4117
374
242
119
010

prune21.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 2.0 (- y t))
3.4b
(* (/ 2.0 (- y t)) (/ x z))

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
54×add-sqr-sqrt
43×times-frac
42×*-un-lft-identity
28×add-cube-cbrt
21×associate-*l*
16×add-cbrt-cube add-exp-log
13×associate-*r*
7×distribute-lft-out-- difference-of-squares
5×cbrt-undiv associate-/r* div-exp
4×pow1 prod-exp associate-/r/ cbrt-unprod unswap-sqr
3×div-inv associate-/l*
2×flip3-- flip-- add-log-exp
1×frac-times clear-num frac-2neg pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
2 → 95
Calls
2 calls:
12.0ms
(/ 2.0 (- y t))
55.0ms
(* (/ 2.0 (- y t)) (/ x z))

series202.0ms

Counts
2 → 6
Calls
2 calls:
54.0ms
(/ 2.0 (- y t))
148.0ms
(* (/ 2.0 (- y t)) (/ x z))

simplify1.5s

Counts
101 → 101
Iterations
IterNodes
done5002
21469
1453
0159

prune634.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(* 2.0 (/ x z))
3.4b
(/ (* 2.0 (/ x z)) (- y t))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
16×*-un-lft-identity add-cbrt-cube add-exp-log
15×times-frac
13×associate-*r*
12×add-cube-cbrt
5×cbrt-undiv associate-/r* div-exp
4×pow1 prod-exp cbrt-unprod
3×associate-*l*
2×associate-*r/ associate-/r/ div-inv distribute-lft-out-- add-log-exp difference-of-squares unswap-sqr
1×clear-num frac-2neg flip3-- pow-prod-down *-commutative flip-- associate-/l* associate-/l/
Counts
2 → 62
Calls
2 calls:
12.0ms
(* 2.0 (/ x z))
18.0ms
(/ (* 2.0 (/ x z)) (- y t))

series82.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(* 2.0 (/ x z))
51.0ms
(/ (* 2.0 (/ x z)) (- y t))

simplify2.7s

Counts
68 → 68
Iterations
IterNodes
done5000
34390
21042
1320
0123

prune352.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.4b
(/ 2.0 (/ (- y t) (/ x z)))
3.2b
(/ (- y t) (/ x z))

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
769×times-frac
457×add-sqr-sqrt *-un-lft-identity
325×add-cube-cbrt
83×associate-/r*
66×distribute-lft-out-- difference-of-squares
32×div-inv
16×add-cbrt-cube add-exp-log
9×cbrt-undiv div-exp
8×associate-/l*
6×associate-/r/
2×pow1 clear-num frac-2neg add-log-exp associate-/l/
1×flip3-- div-sub flip--
Counts
2 → 401
Calls
2 calls:
23.0ms
(/ 2.0 (/ (- y t) (/ x z)))
19.0ms
(/ (- y t) (/ x z))

series255.0ms

Counts
2 → 6
Calls
2 calls:
179.0ms
(/ 2.0 (/ (- y t) (/ x z)))
76.0ms
(/ (- y t) (/ x z))

simplify1.5s

Counts
407 → 407
Iterations
IterNodes
done5000
11751
0598

prune2.4s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- y t))
0.6b
(cbrt (- y t))
0.6b
(cbrt (- y t))
3.4b
(* (* (/ (sqrt 2.0) (* (cbrt (- y t)) (cbrt (- y t)))) (/ (sqrt 2.0) (cbrt (- y t)))) (/ x z))

rewrite287.0ms

Algorithm
rewrite-expression-head
Rules
69×add-exp-log
55×add-cbrt-cube
30×prod-exp cbrt-unprod
21×cbrt-undiv div-exp
20×add-sqr-sqrt *-un-lft-identity
15×cbrt-prod
14×add-cube-cbrt
13×associate-*r*
9×pow1 times-frac
6×cbrt-div
5×frac-times associate-*l/
4×add-log-exp
3×flip3-- pow1/3 pow-prod-down associate-*r/ flip-- distribute-lft-out-- difference-of-squares
1×associate-*l* *-commutative div-inv
Counts
4 → 104
Calls
4 calls:
3.0ms
(cbrt (- y t))
6.0ms
(cbrt (- y t))
6.0ms
(cbrt (- y t))
268.0ms
(* (* (/ (sqrt 2.0) (* (cbrt (- y t)) (cbrt (- y t)))) (/ (sqrt 2.0) (cbrt (- y t)))) (/ x z))

series1.0s

Counts
4 → 12
Calls
4 calls:
209.0ms
(cbrt (- y t))
206.0ms
(cbrt (- y t))
193.0ms
(cbrt (- y t))
404.0ms
(* (* (/ (sqrt 2.0) (* (cbrt (- y t)) (cbrt (- y t)))) (/ (sqrt 2.0) (cbrt (- y t)))) (/ x z))

simplify2.2s

Counts
116 → 116
Iterations
IterNodes
done5000
22239
1578
0204

prune549.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes428.0ms

Accuracy

25.2% (4.2b remaining)

Error of 4.3b against oracle of 0.0b and baseline of 5.7b

bsearch1.0ms

simplify4.0ms

Iterations
IterNodes
done19
119
016

end0.0ms

sample827.0ms

Algorithm
intervals
Results
462.0ms8722×body80valid