Details

Time bar (total: 15.0s)

sample26.0ms

Algorithm
intervals
Results
10.0ms271×body80valid

simplify109.0ms

Counts
1 → 1
Iterations
IterNodes
done117
6117
5112
488
359
237
121
09

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.9b

localize12.0ms

Local error

Found 2 expressions with local error:

4.3b
(* y (+ 1.0 (* z z)))
5.8b
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
31×times-frac
20×add-sqr-sqrt
18×*-un-lft-identity add-cube-cbrt
16×add-cbrt-cube add-exp-log
13×associate-/l*
6×cbrt-undiv div-exp
4×pow1 associate-*r/
3×associate-*r* associate-*l* prod-exp cbrt-unprod div-inv
2×flip3-+ associate-/r/ flip-+ add-log-exp
1×distribute-rgt-in clear-num associate-/r* frac-2neg distribute-lft-in pow-prod-down *-commutative unswap-sqr associate-/l/
Counts
2 → 70
Calls
2 calls:
23.0ms
(* y (+ 1.0 (* z z)))
30.0ms
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))

series156.0ms

Counts
2 → 6
Calls
2 calls:
69.0ms
(* y (+ 1.0 (* z z)))
87.0ms
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))

simplify1.4s

Counts
76 → 76
Iterations
IterNodes
done5002
22178
1436
0156

prune395.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 6.8b

localize20.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ (/ 1.0 x) y)
7.9b
(/ (/ (/ 1.0 x) y) (+ 1.0 (* z z)))

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
468×times-frac
228×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
56×associate-/l*
22×div-inv
16×add-cbrt-cube add-exp-log
9×cbrt-undiv div-exp
6×associate-/r*
2×pow1 clear-num frac-2neg associate-/r/ add-log-exp associate-/l/
1×flip3-+ flip-+
Counts
2 → 264
Calls
2 calls:
9.0ms
(/ (/ 1.0 x) y)
32.0ms
(/ (/ (/ 1.0 x) y) (+ 1.0 (* z z)))

series134.0ms

Counts
2 → 6
Calls
2 calls:
26.0ms
(/ (/ 1.0 x) y)
108.0ms
(/ (/ (/ 1.0 x) y) (+ 1.0 (* z z)))

simplify972.0ms

Counts
270 → 270
Iterations
IterNodes
done5000
11239
0476

prune1.7s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 6.8b

localize40.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(* (cbrt x) (cbrt x))
1.9b
(/ (/ 1.0 (cbrt x)) (+ 1.0 (* z z)))
6.6b
(* (/ (/ 1 (* (cbrt x) (cbrt x))) y) (/ (/ 1.0 (cbrt x)) (+ 1.0 (* z z))))

rewrite223.0ms

Algorithm
rewrite-expression-head
Rules
328×times-frac
232×add-sqr-sqrt
168×*-un-lft-identity
164×add-cube-cbrt
119×add-exp-log
86×cbrt-prod
78×associate-*r*
60×div-exp
52×add-cbrt-cube
34×prod-exp
31×associate-*l*
30×cbrt-undiv
22×associate-/l*
20×unswap-sqr
16×cbrt-unprod
13×pow1 div-inv
7×pow1/3
6×rec-exp 1-exp swap-sqr
4×associate-/r/ add-log-exp
3×associate-/r* pow-prod-down
2×flip3-+ pow-sqr *-commutative pow-prod-up flip-+
1×pow2 frac-times clear-num frac-2neg pow-plus associate-*l/ associate-*r/ associate-/l/
Counts
4 → 320
Calls
4 calls:
1.0ms
(cbrt x)
9.0ms
(* (cbrt x) (cbrt x))
16.0ms
(/ (/ 1.0 (cbrt x)) (+ 1.0 (* z z)))
160.0ms
(* (/ (/ 1 (* (cbrt x) (cbrt x))) y) (/ (/ 1.0 (cbrt x)) (+ 1.0 (* z z))))

series1.1s

Counts
4 → 12
Calls
4 calls:
312.0ms
(cbrt x)
332.0ms
(* (cbrt x) (cbrt x))
327.0ms
(/ (/ 1.0 (cbrt x)) (+ 1.0 (* z z)))
120.0ms
(* (/ (/ 1 (* (cbrt x) (cbrt x))) y) (/ (/ 1.0 (cbrt x)) (+ 1.0 (* z z))))

simplify1.5s

Counts
332 → 332
Iterations
IterNodes
done5000
11745
0511

prune2.2s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 6.8b

localize37.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (* y (sqrt (+ 1.0 (* z z)))) (sqrt (+ 1.0 (* z z))))
5.8b
(/ (/ 1.0 x) (* (* y (sqrt (+ 1.0 (* z z)))) (sqrt (+ 1.0 (* z z)))))
15.7b
(sqrt (+ 1.0 (* z z)))
15.7b
(sqrt (+ 1.0 (* z z)))

rewrite135.0ms

Algorithm
rewrite-expression-head
Rules
31×times-frac
30×add-cbrt-cube add-exp-log
28×sqrt-div
24×add-sqr-sqrt
22×*-un-lft-identity add-cube-cbrt
16×associate-*r/
14×flip3-+ flip-+
13×associate-/l*
11×pow1
9×cbrt-undiv div-exp prod-exp sqrt-prod cbrt-unprod
8×frac-times associate-/r/
6×associate-*r*
4×associate-*l/ add-log-exp
3×pow-prod-down div-inv
2×rem-sqrt-square sqrt-pow1 pow1/2
1×clear-num associate-/r* frac-2neg associate-*l* *-commutative associate-/l/
Counts
4 → 117
Calls
4 calls:
51.0ms
(* (* y (sqrt (+ 1.0 (* z z)))) (sqrt (+ 1.0 (* z z))))
63.0ms
(/ (/ 1.0 x) (* (* y (sqrt (+ 1.0 (* z z)))) (sqrt (+ 1.0 (* z z)))))
8.0ms
(sqrt (+ 1.0 (* z z)))
8.0ms
(sqrt (+ 1.0 (* z z)))

series303.0ms

Counts
4 → 12
Calls
4 calls:
69.0ms
(* (* y (sqrt (+ 1.0 (* z z)))) (sqrt (+ 1.0 (* z z))))
88.0ms
(/ (/ 1.0 x) (* (* y (sqrt (+ 1.0 (* z z)))) (sqrt (+ 1.0 (* z z)))))
78.0ms
(sqrt (+ 1.0 (* z z)))
68.0ms
(sqrt (+ 1.0 (* z z)))

simplify1.8s

Counts
129 → 129
Iterations
IterNodes
done5001
23535
1628
0217

prune672.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 6.8b

regimes783.0ms

Accuracy

0% (1.7b remaining)

Error of 6.7b against oracle of 4.9b and baseline of 6.7b

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done10
110
09

end0.0ms

sample1.2s

Algorithm
intervals
Results
772.0ms8599×body80valid