Details

Time bar (total: 38.7s)

sample62.0ms

Algorithm
intervals
Results
19.0ms290×body80valid

simplify661.0ms

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

prune64.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize37.0ms

Local error

Found 2 expressions with local error:

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

rewrite137.0ms

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:
22.0ms
(/ 2.0 (- y t))
107.0ms
(* (/ 2.0 (- y t)) (/ x z))

series363.0ms

Counts
2 → 6
Calls
2 calls:
93.0ms
(/ 2.0 (- y t))
269.0ms
(* (/ 2.0 (- y t)) (/ x z))

simplify3.2s

Counts
103 → 103
Iterations
IterNodes
done5000
21404
1455
0161

prune1.5s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 1 expressions with local error:

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

rewrite52.0ms

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:
48.0ms
(/ (* 2.0 (/ x z)) (- y t))

series108.0ms

Counts
1 → 3
Calls
1 calls:
108.0ms
(/ (* 2.0 (/ x z)) (- y t))

simplify7.3s

Counts
34 → 34
Iterations
IterNodes
done5002
34688
2875
1230
083

prune585.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

localize50.0ms

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)) (- y t)) (cbrt x)) (/ (cbrt x) z))

rewrite233.0ms

Algorithm
rewrite-expression-head
Rules
36×add-exp-log
24×add-cbrt-cube
22×associate-*r*
20×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
18×cbrt-prod times-frac
16×prod-exp cbrt-unprod
9×pow1
8×cbrt-undiv div-exp
4×insert-posit16 add-log-exp
3×pow1/3 pow-prod-down associate-*l/
1×frac-times associate-*l* associate-*r/ *-commutative div-inv
Counts
4 → 89
Calls
4 calls:
3.0ms
(cbrt x)
3.0ms
(cbrt x)
3.0ms
(cbrt x)
210.0ms
(* (* (/ (* 2.0 (cbrt x)) (- y t)) (cbrt x)) (/ (cbrt x) z))

series1.2s

Counts
4 → 12
Calls
4 calls:
314.0ms
(cbrt x)
349.0ms
(cbrt x)
329.0ms
(cbrt x)
195.0ms
(* (* (/ (* 2.0 (cbrt x)) (- y t)) (cbrt x)) (/ (cbrt x) z))

simplify3.9s

Counts
101 → 101
Iterations
IterNodes
done5001
21769
1449
0146

prune1.2s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

localize34.0ms

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))

rewrite523.0ms

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:
33.0ms
(/ (- y t) (sqrt 2.0))
41.0ms
(/ (sqrt 2.0) (/ (- y t) (sqrt 2.0)))
292.0ms
(* (/ (sqrt 2.0) (/ (- y t) (sqrt 2.0))) (/ x z))

series1.0s

Counts
3 → 9
Calls
3 calls:
152.0ms
(/ (- y t) (sqrt 2.0))
191.0ms
(/ (sqrt 2.0) (/ (- y t) (sqrt 2.0)))
678.0ms
(* (/ (sqrt 2.0) (/ (- y t) (sqrt 2.0))) (/ x z))

simplify7.7s

Counts
587 → 587
Iterations
IterNodes
done5000
24931
11542
0479

prune5.6s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes2.1s

Accuracy

90.5% (0.5b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 5.8b

bsearch2.0ms

simplify32.0ms

Iterations
IterNodes
done41
341
238
135
029

end0.0ms

sample1.0s

Algorithm
intervals
Results
510.0ms8771×body80valid