Details

Time bar (total: 11.1s)

sample40.0ms

Algorithm
intervals
Results
21.0ms323×body80valid

simplify51.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
08164
115124
234124
371124
499124
5105124
done105124

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 8.0b

localize19.0ms

Local error

Found 2 expressions with local error:

0.0b
(* y (- x z))
7.7b
(* (* y (- x z)) t)

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt pow1 add-cbrt-cube add-exp-log
8×associate-*r*
7×*-un-lft-identity
5×add-cube-cbrt
4×associate-*l* pow-prod-down prod-exp associate-*r/ cbrt-unprod
2×distribute-rgt-in sub-neg distribute-lft-in flip3-- associate-*l/ *-commutative flip-- add-log-exp
1×distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 46
Calls
2 calls:
31.0ms
(* y (- x z))
29.0ms
(* (* y (- x z)) t)

series123.0ms

Counts
2 → 6
Calls
2 calls:
48.0ms
(* y (- x z))
75.0ms
(* (* y (- x z)) t)

simplify1.4s

Counts
52 → 52
Iterations

Useful iterations: done (1.4s)

IterNodesCost
0819065
12097860
210307860
done50007540

prune286.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- x z) t)
6.7b
(* y (* (- x z) t))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt pow1 add-cbrt-cube add-exp-log
8×associate-*l*
7×*-un-lft-identity
5×add-cube-cbrt
4×associate-*r* pow-prod-down associate-*l/ prod-exp cbrt-unprod
2×flip3-- associate-*r/ *-commutative flip-- add-log-exp
1×distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 42
Calls
2 calls:
23.0ms
(* (- x z) t)
24.0ms
(* y (* (- x z) t))

series88.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(* (- x z) t)
51.0ms
(* y (* (- x z) t))

simplify860.0ms

Counts
48 → 48
Iterations

Useful iterations: 2 (221.0ms)

IterNodesCost
0778489
11887486
27827086
done50017086

prune280.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

5.5b
(cbrt (* y (* (- x z) t)))
6.7b
(* y (* (- x z) t))
6.7b
(* y (* (- x z) t))
6.7b
(* y (* (- x z) t))

rewrite124.0ms

Algorithm
rewrite-expression-head
Rules
19×pow1 add-cbrt-cube add-exp-log
9×associate-*l* pow-prod-down prod-exp cbrt-unprod
8×associate-*l/ associate-*r/
7×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×flip3-- flip-- add-log-exp
3×associate-*r* *-commutative
2×cbrt-div
1×cbrt-prod pow1/3
Counts
4 → 71
Calls
4 calls:
18.0ms
(cbrt (* y (* (- x z) t)))
38.0ms
(* y (* (- x z) t))
25.0ms
(* y (* (- x z) t))
41.0ms
(* y (* (- x z) t))

series307.0ms

Counts
4 → 12
Calls
4 calls:
136.0ms
(cbrt (* y (* (- x z) t)))
63.0ms
(* y (* (- x z) t))
55.0ms
(* y (* (- x z) t))
53.0ms
(* y (* (- x z) t))

simplify2.5s

Counts
83 → 83
Iterations

Useful iterations: done (2.5s)

IterNodesCost
010118945
124816990
279716310
3404216041
done500015419

prune530.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

localize62.0ms

Local error

Found 4 expressions with local error:

5.5b
(cbrt (* y (* (- x z) t)))
6.7b
(* y (* (- x z) t))
6.7b
(* y (* (- x z) t))
8.6b
(cbrt (* (- x z) t))

rewrite93.0ms

Algorithm
rewrite-expression-head
Rules
14×pow1 add-cbrt-cube add-exp-log
8×associate-*l/
6×add-sqr-sqrt *-un-lft-identity associate-*l* pow-prod-down prod-exp associate-*r/ add-cube-cbrt cbrt-unprod
4×cbrt-div flip3-- flip-- add-log-exp
2×cbrt-prod pow1/3 associate-*r* *-commutative
Counts
4 → 62
Calls
4 calls:
18.0ms
(cbrt (* y (* (- x z) t)))
25.0ms
(* y (* (- x z) t))
36.0ms
(* y (* (- x z) t))
12.0ms
(cbrt (* (- x z) t))

series462.0ms

Counts
4 → 12
Calls
4 calls:
125.0ms
(cbrt (* y (* (- x z) t)))
76.0ms
(* y (* (- x z) t))
59.0ms
(* y (* (- x z) t))
202.0ms
(cbrt (* (- x z) t))

simplify1.1s

Counts
74 → 74
Iterations

Useful iterations: done (1.1s)

IterNodesCost
014319641
134117765
2110217005
done500016467

prune584.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

regimes598.0ms

Accuracy

62.3% (2.8b remaining)

Error of 2.9b against oracle of 0.1b and baseline of 7.5b

bsearch73.0ms

Steps
ItersRangePoint
8
1.375446589264085e-118
3.6309114916949304e-116
3.5113022948880706e-116
8
-1.5371233422266502e+47
-6.459414930252532e+43
-2.1649590822028293e+46

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
015466
122466
done22466

end0.0ms

sample1.3s

Algorithm
intervals
Results
896.0ms10752×body80valid