Details

Time bar (total: 17.6s)

sample32.0ms

Algorithm
intervals
Results
17.0ms363×body80valid

simplify89.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
08164
116124
236124
378124
4117124
5129124
6131124
done131124

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
19×*-un-lft-identity
18×prod-diff
17×add-cube-cbrt
11×distribute-rgt-in distribute-lft-in
9×pow1 add-cbrt-cube add-exp-log
8×associate-*r*
4×associate-*l* pow-prod-down prod-exp associate-*r/ cbrt-unprod
2×expm1-log1p-u sub-neg flip3-- associate-*l/ *-commutative log1p-expm1-u flip-- add-log-exp
1×distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 68
Calls
2 calls:
30.0ms
(* y (- x z))
28.0ms
(* (* y (- x z)) t)

series112.0ms

Counts
2 → 6
Calls
2 calls:
53.0ms
(* y (- x z))
59.0ms
(* (* y (- x z)) t)

simplify3.1s

Counts
74 → 74
Iterations

Useful iterations: done (3.1s)

IterNodesCost
013319085
130316256
274912812
3253512492
done500211532

prune288.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- x z) t)
5.6b
(* y (* (- x z) t))

rewrite78.0ms

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×expm1-log1p-u flip3-- associate-*r/ *-commutative log1p-expm1-u flip-- add-log-exp
1×distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 46
Calls
2 calls:
33.0ms
(* (- x z) t)
43.0ms
(* y (* (- x z) t))

series98.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(* (- x z) t)
56.0ms
(* y (* (- x z) t))

simplify3.4s

Counts
52 → 52
Iterations

Useful iterations: 2 (174.0ms)

IterNodesCost
0819223
11958220
25967820
332027820
done50017820

prune186.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
2.6b
(* (cbrt y) (* (- x z) t))
3.3b
(* (* (cbrt y) (cbrt y)) (* (cbrt y) (* (- x z) t)))

rewrite113.0ms

Algorithm
rewrite-expression-head
Rules
30×pow1 add-exp-log
18×add-cbrt-cube pow-prod-down prod-exp cbrt-unprod
9×cbrt-prod
8×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
7×associate-*l*
6×associate-*r/
4×expm1-log1p-u associate-*l/ log1p-expm1-u add-log-exp
2×flip3-- pow1/3 associate-*r* *-commutative flip--
Counts
4 → 83
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
26.0ms
(* (cbrt y) (* (- x z) t))
84.0ms
(* (* (cbrt y) (cbrt y)) (* (cbrt y) (* (- x z) t)))

series916.0ms

Counts
4 → 12
Calls
4 calls:
293.0ms
(cbrt y)
280.0ms
(cbrt y)
266.0ms
(* (cbrt y) (* (- x z) t))
76.0ms
(* (* (cbrt y) (cbrt y)) (* (cbrt y) (* (- x z) t)))

simplify2.0s

Counts
95 → 95
Iterations

Useful iterations: done (2.0s)

IterNodesCost
011925755
134023217
2121822563
done500117419

prune543.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
1.4b
(* (cbrt y) (* (cbrt y) (* (cbrt y) (* (- x z) t))))
2.1b
(* (cbrt y) (* (cbrt y) (* (- x z) t)))
2.6b
(* (cbrt y) (* (- x z) t))

rewrite364.0ms

Algorithm
rewrite-expression-head
Rules
32×pow1 add-exp-log
19×pow-prod-down prod-exp cbrt-unprod
18×associate-*l*
16×add-cbrt-cube
12×cbrt-prod associate-*r/
11×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
6×associate-*l/
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×flip3-- associate-*r* *-commutative flip--
1×pow1/3
Counts
4 → 97
Calls
4 calls:
1.0ms
(cbrt y)
229.0ms
(* (cbrt y) (* (cbrt y) (* (cbrt y) (* (- x z) t))))
77.0ms
(* (cbrt y) (* (cbrt y) (* (- x z) t)))
54.0ms
(* (cbrt y) (* (- x z) t))

series1.0s

Counts
4 → 12
Calls
4 calls:
307.0ms
(cbrt y)
103.0ms
(* (cbrt y) (* (cbrt y) (* (cbrt y) (* (- x z) t))))
377.0ms
(* (cbrt y) (* (cbrt y) (* (- x z) t)))
262.0ms
(* (cbrt y) (* (- x z) t))

simplify2.5s

Counts
109 → 109
Iterations

Useful iterations: done (2.4s)

IterNodesCost
014732048
140728807
2147828288
done500023932

prune579.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

regimes559.0ms

Accuracy

53% (3.4b remaining)

Error of 3.4b against oracle of 0.1b and baseline of 7.2b

bsearch93.0ms

Steps
ItersRangePoint
8
1.4023082506783261e+161
1.1646978758735248e+164
1.423758204789825e+161
10
-3.862557466194449e+32
-1.2615922784482009e+20
-8.762454709254037e+23

simplify5.0ms

Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
015466
122466
done22466

end0.0ms

sample1.4s

Algorithm
intervals
Results
946.0ms10663×body80valid