Details

Time bar (total: 12.0s)

sample34.0ms

Algorithm
intervals
Results
11.0ms277×body80valid

simplify197.0ms

Counts
1 → 1
Iterations
IterNodes
done239
8239
7236
6216
5179
4132
382
244
119
010

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 2.0 (- y t))
4.5b
(* (/ 2.0 (- y t)) (/ x z))

rewrite75.0ms

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*
distribute-lft-out-- difference-of-squares
cbrt-undiv associate-/r* div-exp
pow1 prod-exp associate-/r/ cbrt-unprod unswap-sqr
div-inv associate-/l*
flip3-- flip-- add-log-exp
frac-times clear-num frac-2neg pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
2 → 95
Calls
2 calls:
14.0ms
(/ 2.0 (- y t))
57.0ms
(* (/ 2.0 (- y t)) (/ x z))

series231.0ms

Counts
2 → 6
Calls
2 calls:
53.0ms
(/ 2.0 (- y t))
178.0ms
(* (/ 2.0 (- y t)) (/ x z))

simplify1.4s

Counts
101 → 101
Iterations
IterNodes
done5001
22315
1455
0159

prune638.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize66.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
1.3b
(/ (* 2.0 (/ (* (cbrt x) (cbrt x)) (* (cbrt z) (cbrt z)))) (- y t))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
29×add-exp-log
21×add-cbrt-cube
13×add-sqr-sqrt *-un-lft-identity
10×cbrt-undiv div-exp
cbrt-prod prod-exp add-cube-cbrt cbrt-unprod
associate-/r* times-frac
pow1 add-log-exp
pow1/3
associate-/r/ distribute-lft-out-- difference-of-squares
clear-num frac-2neg flip3-- associate-*r/ div-inv flip-- associate-/l* associate-/l/
Counts
4 → 69
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
54.0ms
(/ (* 2.0 (/ (* (cbrt x) (cbrt x)) (* (cbrt z) (cbrt z)))) (- y t))

series1.0s

Counts
4 → 12
Calls
4 calls:
267.0ms
(cbrt x)
244.0ms
(cbrt x)
270.0ms
(cbrt x)
262.0ms
(/ (* 2.0 (/ (* (cbrt x) (cbrt x)) (* (cbrt z) (cbrt z)))) (- y t))

simplify1.2s

Counts
81 → 81
Iterations
IterNodes
done5002
22415
1397
0129

prune576.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize104.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (cbrt x))
0.6b
(cbrt (cbrt x))
0.6b
(cbrt (cbrt x))
1.3b
(/ (* 2.0 (/ (* (cbrt x) (cbrt x)) (* (cbrt z) (cbrt z)))) (- y t))

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
29×add-exp-log
27×cbrt-prod
21×add-cbrt-cube
16×add-sqr-sqrt *-un-lft-identity
12×add-cube-cbrt
10×cbrt-undiv div-exp
prod-exp cbrt-unprod
associate-/r* times-frac
pow1 add-log-exp
pow1/3
associate-/r/ distribute-lft-out-- difference-of-squares
clear-num frac-2neg flip3-- associate-*r/ div-inv flip-- associate-/l* associate-/l/
Counts
4 → 78
Calls
4 calls:
2.0ms
(cbrt (cbrt x))
2.0ms
(cbrt (cbrt x))
2.0ms
(cbrt (cbrt x))
53.0ms
(/ (* 2.0 (/ (* (cbrt x) (cbrt x)) (* (cbrt z) (cbrt z)))) (- y t))

series1.5s

Counts
4 → 12
Calls
4 calls:
406.0ms
(cbrt (cbrt x))
387.0ms
(cbrt (cbrt x))
447.0ms
(cbrt (cbrt x))
233.0ms
(/ (* 2.0 (/ (* (cbrt x) (cbrt x)) (* (cbrt z) (cbrt z)))) (- y t))

simplify1.0s

Counts
90 → 90
Iterations
IterNodes
done5001
22198
1400
0140

prune626.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (/ x z) 2.0)
4.7b
(/ (* (/ x z) 2.0) (- y t))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
16×*-un-lft-identity add-cbrt-cube add-exp-log
15×times-frac
13×associate-*l*
12×add-cube-cbrt
cbrt-undiv associate-/r* div-exp
pow1 prod-exp cbrt-unprod
associate-*r*
associate-*l/ associate-/r/ div-inv distribute-lft-out-- add-log-exp difference-of-squares unswap-sqr
clear-num frac-2neg flip3-- pow-prod-down *-commutative flip-- associate-/l* associate-/l/
Counts
2 → 62
Calls
2 calls:
20.0ms
(* (/ x z) 2.0)
31.0ms
(/ (* (/ x z) 2.0) (- y t))

series100.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(* (/ x z) 2.0)
66.0ms
(/ (* (/ x z) 2.0) (- y t))

simplify946.0ms

Counts
68 → 68
Iterations
IterNodes
done5000
22052
1308
0122

prune293.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes429.0ms

Accuracy

0% (1.9b remaining)

Error of 1.9b against oracle of 0.0b and baseline of 1.9b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done17
117
015

end0.0ms

sample1.3s

Algorithm
intervals
Results
400.0ms8708×body80valid