Details

Time bar (total: 15.4s)

sample42.0ms

Algorithm
intervals
Results
24.0ms290×body80valid

simplify272.0ms

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

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize25.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 2.0 (- y t))
4.6b
(* (/ 2.0 (- y t)) (/ x z))

rewrite99.0ms

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-- insert-posit16 flip-- add-log-exp
1×frac-times clear-num frac-2neg pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
2 → 97
Calls
2 calls:
25.0ms
(/ 2.0 (- y t))
69.0ms
(* (/ 2.0 (- y t)) (/ x z))

series231.0ms

Counts
2 → 6
Calls
2 calls:
60.0ms
(/ 2.0 (- y t))
171.0ms
(* (/ 2.0 (- y t)) (/ x z))

simplify1.4s

Counts
103 → 103
Iterations
IterNodes
done5000
21447
1455
0161

prune422.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 1 expressions with local error:

4.6b
(/ (* 2.0 (/ x z)) (- y t))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
10×add-cbrt-cube add-exp-log
7×add-sqr-sqrt *-un-lft-identity
5×associate-/r* times-frac
4×cbrt-undiv div-exp
3×add-cube-cbrt
2×prod-exp associate-/r/ cbrt-unprod distribute-lft-out-- difference-of-squares
1×pow1 clear-num frac-2neg flip3-- associate-*r/ insert-posit16 div-inv flip-- associate-/l* add-log-exp associate-/l/
Counts
1 → 31
Calls
1 calls:
23.0ms
(/ (* 2.0 (/ x z)) (- y t))

series62.0ms

Counts
1 → 3
Calls
1 calls:
62.0ms
(/ (* 2.0 (/ x z)) (- y t))

simplify2.4s

Counts
34 → 34
Iterations
IterNodes
done5000
34696
2860
1227
083

prune156.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
4.2b
(* (/ (* 2.0 (* (cbrt x) (cbrt x))) (- y t)) (/ (cbrt x) z))

rewrite130.0ms

Algorithm
rewrite-expression-head
Rules
36×add-exp-log
32×add-sqr-sqrt
28×add-cbrt-cube
25×times-frac
24×*-un-lft-identity
22×associate-*r* add-cube-cbrt
19×cbrt-prod
14×prod-exp cbrt-unprod
11×associate-*l*
10×cbrt-undiv div-exp
6×pow1
4×insert-posit16 add-log-exp
3×pow1/3 unswap-sqr
2×associate-/r/ div-inv
1×frac-times flip3-- pow-prod-down associate-*l/ associate-*r/ *-commutative flip-- distribute-lft-out-- difference-of-squares
Counts
4 → 101
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
124.0ms
(* (/ (* 2.0 (* (cbrt x) (cbrt x))) (- y t)) (/ (cbrt x) z))

series870.0ms

Counts
4 → 12
Calls
4 calls:
237.0ms
(cbrt x)
246.0ms
(cbrt x)
264.0ms
(cbrt x)
123.0ms
(* (/ (* 2.0 (* (cbrt x) (cbrt x))) (- y t)) (/ (cbrt x) z))

simplify1.8s

Counts
113 → 113
Iterations
IterNodes
done5000
22451
1531
0173

prune677.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

localize35.0ms

Local error

Found 3 expressions with local error:

0.4b
(/ (- y t) (sqrt 2.0))
0.5b
(/ (sqrt 2.0) (/ (- y t) (sqrt 2.0)))
4.6b
(* (/ (sqrt 2.0) (/ (- y t) (sqrt 2.0))) (/ x z))

rewrite284.0ms

Algorithm
rewrite-expression-head
Rules
864×times-frac
614×add-sqr-sqrt
559×*-un-lft-identity
430×sqrt-prod
389×add-cube-cbrt
209×associate-*l*
85×distribute-lft-out-- difference-of-squares
40×associate-/r*
31×add-cbrt-cube add-exp-log
17×div-inv
14×unswap-sqr
13×cbrt-undiv div-exp associate-*r*
11×associate-/l*
6×prod-exp cbrt-unprod
5×pow1
3×insert-posit16 add-log-exp
2×clear-num frac-2neg associate-/r/ associate-/l/
1×frac-times flip3-- div-sub pow-prod-down associate-*l/ associate-*r/ *-commutative flip--
Counts
3 → 578
Calls
3 calls:
32.0ms
(/ (- y t) (sqrt 2.0))
45.0ms
(/ (sqrt 2.0) (/ (- y t) (sqrt 2.0)))
133.0ms
(* (/ (sqrt 2.0) (/ (- y t) (sqrt 2.0))) (/ x z))

series841.0ms

Counts
3 → 9
Calls
3 calls:
135.0ms
(/ (- y t) (sqrt 2.0))
221.0ms
(/ (sqrt 2.0) (/ (- y t) (sqrt 2.0)))
485.0ms
(* (/ (sqrt 2.0) (/ (- y t) (sqrt 2.0))) (/ x z))

simplify1.8s

Counts
587 → 587
Iterations
IterNodes
done5000
11540
0479

prune2.2s

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0b

regimes664.0ms

Accuracy

87.2% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 5.5b

bsearch1.0ms

simplify10.0ms

Iterations
IterNodes
done42
342
239
136
028

end0.0ms

sample876.0ms

Algorithm
intervals
Results
625.0ms8771×body80valid