Details

Time bar (total: 16.6s)

sample31.0ms

Algorithm
intervals
Results
14.0ms256×body80valid

simplify1.6s

Counts
1 → 1
Iterations
IterNodes
done5004
61775
5497
4205
3109
250
125
013

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (* (/ t z) y) 2.0)
0.0b
(- z (/ (* (/ t z) y) 2.0))
3.6b
(/ y (- z (/ (* (/ t z) y) 2.0)))
6.0b
(* (/ t z) y)

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
39×add-sqr-sqrt
34×*-un-lft-identity
28×times-frac
24×add-cube-cbrt
20×add-cbrt-cube add-exp-log
13×associate-*l*
8×associate-/r*
6×pow1 cbrt-undiv div-exp add-log-exp
5×distribute-lft-out-- difference-of-squares
4×prod-exp cbrt-unprod associate-/l*
3×associate-*r* div-inv
2×clear-num frac-2neg flip3-- associate-*l/ associate-/r/ flip-- unswap-sqr
1×sub-neg diff-log pow-prod-down *-commutative associate-/l/
Counts
4 → 107
Calls
4 calls:
10.0ms
(/ (* (/ t z) y) 2.0)
7.0ms
(- z (/ (* (/ t z) y) 2.0))
23.0ms
(/ y (- z (/ (* (/ t z) y) 2.0)))
22.0ms
(* (/ t z) y)

series377.0ms

Counts
4 → 12
Calls
4 calls:
53.0ms
(/ (* (/ t z) y) 2.0)
67.0ms
(- z (/ (* (/ t z) y) 2.0))
218.0ms
(/ y (- z (/ (* (/ t z) y) 2.0)))
39.0ms
(* (/ t z) y)

simplify1.4s

Counts
119 → 119
Iterations
IterNodes
done5002
21339
1410
0172

prune790.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.2b

localize45.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (* (/ t z) y) 2.0)
0.8b
(/ 1 (/ (- z (/ (* (/ t z) y) 2.0)) y))
3.6b
(/ (- z (/ (* (/ t z) y) 2.0)) y)
6.0b
(* (/ t z) y)

rewrite101.0ms

Algorithm
rewrite-expression-head
Rules
145×times-frac
117×add-sqr-sqrt
112×*-un-lft-identity
80×add-cube-cbrt
31×add-exp-log
25×associate-/r* add-cbrt-cube
16×distribute-lft-out-- difference-of-squares
13×div-exp associate-*l*
9×cbrt-undiv associate-/l*
8×div-inv
7×pow1
4×prod-exp cbrt-unprod add-log-exp
3×clear-num frac-2neg associate-*r* associate-/l/
2×rec-exp 1-exp associate-*l/ unswap-sqr
1×flip3-- div-sub pow-prod-down associate-/r/ *-commutative pow-flip flip-- inv-pow
Counts
4 → 194
Calls
4 calls:
17.0ms
(/ (* (/ t z) y) 2.0)
17.0ms
(/ 1 (/ (- z (/ (* (/ t z) y) 2.0)) y))
23.0ms
(/ (- z (/ (* (/ t z) y) 2.0)) y)
30.0ms
(* (/ t z) y)

series210.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(/ (* (/ t z) y) 2.0)
64.0ms
(/ 1 (/ (- z (/ (* (/ t z) y) 2.0)) y))
70.0ms
(/ (- z (/ (* (/ t z) y) 2.0)) y)
30.0ms
(* (/ t z) y)

simplify2.1s

Counts
206 → 206
Iterations
IterNodes
done5002
21935
1736
0280

prune1.2s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 3 expressions with local error:

0.0b
(* 0.5 (/ t z))
0.0b
(- x (/ 1 (- (/ z y) (* 0.5 (/ t z)))))
0.8b
(/ 1 (- (/ z y) (* 0.5 (/ t z))))

rewrite100.0ms

Algorithm
rewrite-expression-head
Rules
31×add-sqr-sqrt
23×*-un-lft-identity
21×times-frac
19×add-cube-cbrt
13×associate-*r*
12×add-exp-log
10×add-cbrt-cube
6×pow1
5×add-log-exp
3×associate-/r* div-exp associate-*l* associate-/r/ div-inv associate-/l* difference-of-squares
2×cbrt-undiv flip3-- prod-exp associate-*r/ cbrt-unprod flip-- distribute-lft-out-- unswap-sqr
1×rec-exp clear-num sub-neg frac-2neg diff-log 1-exp pow-prod-down *-commutative frac-sub pow-flip inv-pow
Counts
3 → 83
Calls
3 calls:
10.0ms
(* 0.5 (/ t z))
44.0ms
(- x (/ 1 (- (/ z y) (* 0.5 (/ t z)))))
44.0ms
(/ 1 (- (/ z y) (* 0.5 (/ t z))))

series120.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(* 0.5 (/ t z))
49.0ms
(- x (/ 1 (- (/ z y) (* 0.5 (/ t z)))))
36.0ms
(/ 1 (- (/ z y) (* 0.5 (/ t z))))

simplify2.6s

Counts
92 → 92
Iterations
IterNodes
done5007
33689
21073
1362
0154

prune639.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize60.0ms

Local error

Found 4 expressions with local error:

0.5b
(/ 1 (* (cbrt (- (/ z y) (* 0.5 (/ t z)))) (cbrt (- (/ z y) (* 0.5 (/ t z))))))
16.5b
(cbrt (- (/ z y) (* 0.5 (/ t z))))
16.5b
(cbrt (- (/ z y) (* 0.5 (/ t z))))
16.5b
(cbrt (- (/ z y) (* 0.5 (/ t z))))

rewrite172.0ms

Algorithm
rewrite-expression-head
Rules
33×cbrt-div
15×add-exp-log associate-/r/
14×associate-*r/
12×pow1
11×flip3-- frac-sub flip--
9×cbrt-prod add-sqr-sqrt frac-times *-un-lft-identity pow1/3 add-cube-cbrt pow-flip
7×add-cbrt-cube
4×div-exp add-log-exp
3×times-frac associate-*l/ prod-exp associate-/l*
2×cbrt-undiv rec-exp 1-exp pow-prod-down pow-sqr pow-prod-up
1×pow2 clear-num associate-/r* frac-2neg pow-plus cbrt-unprod div-inv inv-pow
Counts
4 → 92
Calls
4 calls:
109.0ms
(/ 1 (* (cbrt (- (/ z y) (* 0.5 (/ t z)))) (cbrt (- (/ z y) (* 0.5 (/ t z))))))
24.0ms
(cbrt (- (/ z y) (* 0.5 (/ t z))))
17.0ms
(cbrt (- (/ z y) (* 0.5 (/ t z))))
17.0ms
(cbrt (- (/ z y) (* 0.5 (/ t z))))

series577.0ms

Counts
4 → 12
Calls
4 calls:
175.0ms
(/ 1 (* (cbrt (- (/ z y) (* 0.5 (/ t z)))) (cbrt (- (/ z y) (* 0.5 (/ t z))))))
125.0ms
(cbrt (- (/ z y) (* 0.5 (/ t z))))
134.0ms
(cbrt (- (/ z y) (* 0.5 (/ t z))))
142.0ms
(cbrt (- (/ z y) (* 0.5 (/ t z))))

simplify2.0s

Counts
104 → 104
Iterations
IterNodes
done5001
32370
2850
1338
0162

prune810.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

regimes259.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify6.0ms

Iterations
IterNodes
done20
120
016

end0.0ms

sample1.4s

Algorithm
intervals
Results
1.1s8000×body80valid