Details

Time bar (total: 8.6s)

sample50.0ms

Algorithm
intervals
Results
19.0ms353×body80valid

simplify122.0ms

Counts
1 → 1
Iterations
IterNodes
done136
6136
5134
4122
379
236
116
08

prune23.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 1 expressions with local error:

5.8b
(* (- x z) (* t y))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-cbrt-cube add-exp-log
associate-*l*
add-sqr-sqrt *-un-lft-identity
pow-prod-down prod-exp cbrt-unprod
associate-*l/ add-cube-cbrt
expm1-log1p-u flip3-- associate-*r* *-commutative log1p-expm1-u flip-- distribute-lft-out-- add-log-exp difference-of-squares
Counts
1 → 24
Calls
1 calls:
28.0ms
(* (- x z) (* t y))

series362.0ms

Counts
1 → 3
Calls
1 calls:
362.0ms
(* (- x z) (* t y))

simplify1.5s

Counts
27 → 27
Iterations
IterNodes
done5000
32675
2522
1152
058

prune162.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- x z) t)
5.9b
(* (* (- x z) t) y)

rewrite75.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt pow1 add-cbrt-cube add-exp-log
*-un-lft-identity
associate-*r* associate-*l* associate-*l/
add-cube-cbrt
pow-prod-down prod-exp cbrt-unprod
expm1-log1p-u flip3-- *-commutative log1p-expm1-u flip-- add-log-exp
distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 46
Calls
2 calls:
31.0ms
(* (- x z) t)
42.0ms
(* (* (- x z) t) y)

series98.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(* (- x z) t)
63.0ms
(* (* (- x z) t) y)

simplify546.0ms

Counts
52 → 52
Iterations
IterNodes
done5001
21084
1202
083

prune273.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.2b
(- (* x y) (* z y))
6.4b
(* (- (* x y) (* z y)) t)

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt
pow1 *-un-lft-identity add-cbrt-cube associate-*l* add-exp-log add-cube-cbrt add-log-exp
associate-*r*
expm1-log1p-u flip3-- distribute-rgt-out-- associate-*l/ log1p-expm1-u flip--
sub-neg fma-neg diff-log prod-diff pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 40
Calls
2 calls:
12.0ms
(- (* x y) (* z y))
36.0ms
(* (- (* x y) (* z y)) t)

series124.0ms

Counts
2 → 6
Calls
2 calls:
45.0ms
(- (* x y) (* z y))
79.0ms
(* (- (* x y) (* z y)) t)

simplify498.0ms

Counts
46 → 46
Iterations
IterNodes
done5000
2788
1178
069

prune260.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- x z))
0.5b
(cbrt (- x z))
2.6b
(* (cbrt (- x z)) (* t y))
3.5b
(* (* (cbrt (- x z)) (cbrt (- x z))) (* (cbrt (- x z)) (* t y)))

rewrite134.0ms

Algorithm
rewrite-expression-head
Rules
60×cbrt-div
34×associate-*l/
30×pow1 flip3-- add-exp-log flip--
28×frac-times
18×add-cbrt-cube pow-prod-down prod-exp cbrt-unprod
15×cbrt-prod
14×add-sqr-sqrt *-un-lft-identity
associate-*l*
associate-*r/ add-cube-cbrt
expm1-log1p-u log1p-expm1-u add-log-exp
distribute-lft-out-- difference-of-squares
pow1/3 associate-*r* *-commutative
Counts
4 → 117
Calls
4 calls:
3.0ms
(cbrt (- x z))
3.0ms
(cbrt (- x z))
27.0ms
(* (cbrt (- x z)) (* t y))
96.0ms
(* (* (cbrt (- x z)) (cbrt (- x z))) (* (cbrt (- x z)) (* t y)))

series848.0ms

Counts
4 → 12
Calls
4 calls:
201.0ms
(cbrt (- x z))
208.0ms
(cbrt (- x z))
388.0ms
(* (cbrt (- x z)) (* t y))
50.0ms
(* (* (cbrt (- x z)) (cbrt (- x z))) (* (cbrt (- x z)) (* t y)))

simplify868.0ms

Counts
129 → 129
Iterations
IterNodes
done5001
21723
1534
0191

prune555.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes632.0ms

Accuracy

93% (0.4b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 6.4b

bsearch1.0ms

simplify5.0ms

Iterations
IterNodes
done41
341
238
135
025

end0.0ms

sample1.3s

Algorithm
intervals
Results
591.0ms10619×body80valid