Details

Time bar (total: 12.9s)

sample38.0ms

Algorithm
intervals
Results
23.0ms333×body80valid

simplify113.0ms

Counts
1 → 1
Iterations
IterNodes
done131
6131
5129
4117
378
236
116
08

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize20.0ms

Local error

Found 2 expressions with local error:

0.4b
(- (* x y) (* z y))
5.0b
(* (- (* x y) (* z y)) t)

rewrite36.0ms

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/ insert-posit16 log1p-expm1-u flip--
sub-neg fma-neg diff-log prod-diff pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 42
Calls
2 calls:
11.0ms
(- (* x y) (* z y))
24.0ms
(* (- (* x y) (* z y)) t)

series97.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(- (* x y) (* z y))
60.0ms
(* (- (* x y) (* z y)) t)

simplify2.4s

Counts
48 → 48
Iterations
IterNodes
done5001
32652
2600
1179
071

prune226.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

6.0b
(* (- x z) (* y t))

rewrite47.0ms

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 insert-posit16 log1p-expm1-u flip-- distribute-lft-out-- add-log-exp difference-of-squares
Counts
1 → 25
Calls
1 calls:
46.0ms
(* (- x z) (* y t))

series81.0ms

Counts
1 → 3
Calls
1 calls:
81.0ms
(* (- x z) (* y t))

simplify1.8s

Counts
28 → 28
Iterations
IterNodes
done5001
31863
2479
1153
059

prune174.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- x z) t)
6.3b
(* y (* (- x z) t))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt pow1 add-cbrt-cube add-exp-log
associate-*l*
*-un-lft-identity
add-cube-cbrt
associate-*r* pow-prod-down associate-*l/ prod-exp cbrt-unprod
expm1-log1p-u flip3-- associate-*r/ *-commutative insert-posit16 log1p-expm1-u flip-- add-log-exp
distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 48
Calls
2 calls:
20.0ms
(* (- x z) t)
28.0ms
(* y (* (- x z) t))

series121.0ms

Counts
2 → 6
Calls
2 calls:
53.0ms
(* (- x z) t)
68.0ms
(* y (* (- x z) t))

simplify3.2s

Counts
54 → 54
Iterations
IterNodes
done5001
33269
2604
1197
083

prune248.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

3.0b
(- (* x x) (* z z))
4.8b
(* (- (* x x) (* z z)) t)
6.3b
(* y (/ (* (- (* x x) (* z z)) t) (+ x z)))
17.1b
(/ (* (- (* x x) (* z z)) t) (+ x z))

rewrite125.0ms

Algorithm
rewrite-expression-head
Rules
20×add-cbrt-cube add-exp-log
17×*-un-lft-identity
15×add-sqr-sqrt
13×associate-*r*
11×add-cube-cbrt
pow1 times-frac
associate-*l*
prod-exp cbrt-unprod add-log-exp
expm1-log1p-u cbrt-undiv associate-/r* div-exp associate-*l/ associate-/r/ insert-posit16 log1p-expm1-u
flip3-- flip-- distribute-lft-out
flip3-+ pow-prod-down *-commutative flip-+ div-inv difference-of-squares unswap-sqr associate-/l/
clear-num sub-neg frac-2neg fma-neg diff-log prod-diff associate-*r/ associate-/l*
Counts
4 → 105
Calls
4 calls:
11.0ms
(- (* x x) (* z z))
40.0ms
(* (- (* x x) (* z z)) t)
45.0ms
(* y (/ (* (- (* x x) (* z z)) t) (+ x z)))
28.0ms
(/ (* (- (* x x) (* z z)) t) (+ x z))

series261.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(- (* x x) (* z z))
55.0ms
(* (- (* x x) (* z z)) t)
113.0ms
(* y (/ (* (- (* x x) (* z z)) t) (+ x z)))
58.0ms
(/ (* (- (* x x) (* z z)) t) (+ x z))

simplify1.5s

Counts
117 → 117
Iterations
IterNodes
done5002
21811
1437
0158

prune377.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0b

regimes445.0ms

Accuracy

77.2% (1.5b remaining)

Error of 1.5b against oracle of 0.0b and baseline of 6.5b

bsearch1.0ms

simplify3.0ms

Iterations
IterNodes
done26
126
019

end0.0ms

sample1.5s

Algorithm
intervals
Results
1.2s10606×body80valid