Details

Time bar (total: 14.5s)

sample40.0ms

Algorithm
intervals
Results
21.0ms256×body80valid

simplify1.5s

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

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.8b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(- z (/ (* (/ t z) y) 2.0))
0.0b
(- x (/ y (- z (/ (* (/ t z) y) 2.0))))
5.2b
(* (/ t z) y)
6.0b
(/ y (- z (/ (* (/ t z) y) 2.0)))

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
34×*-un-lft-identity
26×times-frac
22×add-cube-cbrt
13×associate-*l*
11×add-cbrt-cube add-exp-log
add-log-exp
difference-of-squares
pow1 distribute-lft-out--
associate-/r*
insert-posit16
flip3-- associate-*r* flip-- associate-/l*
cbrt-undiv sub-neg diff-log div-exp prod-exp associate-/r/ cbrt-unprod div-inv unswap-sqr
clear-num frac-2neg pow-prod-down associate-*l/ *-commutative
Counts
4 → 102
Calls
4 calls:
10.0ms
(- z (/ (* (/ t z) y) 2.0))
33.0ms
(- x (/ y (- z (/ (* (/ t z) y) 2.0))))
11.0ms
(* (/ t z) y)
10.0ms
(/ y (- z (/ (* (/ t z) y) 2.0)))

series401.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(- z (/ (* (/ t z) y) 2.0))
119.0ms
(- x (/ y (- z (/ (* (/ t z) y) 2.0))))
34.0ms
(* (/ t z) y)
200.0ms
(/ y (- z (/ (* (/ t z) y) 2.0)))

simplify1.1s

Counts
114 → 114
Iterations
IterNodes
done5000
21173
1389
0171

prune483.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.7b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(- z (/ (* (/ t z) y) 2.0))
0.2b
(/ 1 (/ (- z (/ (* (/ t z) y) 2.0)) y))
5.2b
(* (/ t z) y)
6.0b
(/ (- z (/ (* (/ t z) y) 2.0)) y)

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
142×times-frac
117×add-sqr-sqrt
112×*-un-lft-identity
78×add-cube-cbrt
22×associate-/r* add-exp-log
17×distribute-lft-out-- difference-of-squares
16×add-cbrt-cube
13×associate-*l*
div-exp
associate-/l*
pow1 div-inv
add-log-exp
cbrt-undiv
insert-posit16
associate-*r*
rec-exp clear-num frac-2neg flip3-- 1-exp prod-exp cbrt-unprod flip-- unswap-sqr associate-/l/
sub-neg diff-log div-sub pow-prod-down associate-*l/ associate-/r/ *-commutative pow-flip inv-pow
Counts
4 → 188
Calls
4 calls:
6.0ms
(- z (/ (* (/ t z) y) 2.0))
14.0ms
(/ 1 (/ (- z (/ (* (/ t z) y) 2.0)) y))
9.0ms
(* (/ t z) y)
16.0ms
(/ (- z (/ (* (/ t z) y) 2.0)) y)

series157.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(- z (/ (* (/ t z) y) 2.0))
37.0ms
(/ 1 (/ (- z (/ (* (/ t z) y) 2.0)) y))
25.0ms
(* (/ t z) y)
51.0ms
(/ (- z (/ (* (/ t z) y) 2.0)) y)

simplify1.8s

Counts
200 → 200
Iterations
IterNodes
done5002
22139
1683
0263

prune917.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (/ 1 (- (/ z y) (* 0.5 (/ t z)))))
0.0b
(* 0.5 (/ t z))
0.0b
(- (/ z y) (* 0.5 (/ t z)))
0.2b
(/ 1 (- (/ z y) (* 0.5 (/ t z))))

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
32×add-sqr-sqrt
24×*-un-lft-identity
21×times-frac
20×add-cube-cbrt
13×associate-*r* add-exp-log
11×add-cbrt-cube
add-log-exp
pow1
insert-posit16
associate-/r* flip3-- div-exp associate-*l* associate-*r/ associate-/r/ div-inv flip-- associate-/l* difference-of-squares
cbrt-undiv sub-neg diff-log prod-exp frac-sub cbrt-unprod distribute-lft-out-- unswap-sqr
rec-exp clear-num frac-2neg 1-exp pow-prod-down *-commutative pow-flip inv-pow
Counts
4 → 100
Calls
4 calls:
34.0ms
(- x (/ 1 (- (/ z y) (* 0.5 (/ t z)))))
11.0ms
(* 0.5 (/ t z))
11.0ms
(- (/ z y) (* 0.5 (/ t z)))
18.0ms
(/ 1 (- (/ z y) (* 0.5 (/ t z))))

series160.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(- x (/ 1 (- (/ z y) (* 0.5 (/ t z)))))
35.0ms
(* 0.5 (/ t z))
52.0ms
(- (/ z y) (* 0.5 (/ t z)))
38.0ms
(/ 1 (- (/ z y) (* 0.5 (/ t z))))

simplify2.5s

Counts
112 → 112
Iterations
IterNodes
done5069
34230
21182
1388
0167

prune530.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (/ 1 (- (/ z y) (* (* 0.5 t) (/ 1 z)))))
0.0b
(- (/ z y) (* (* 0.5 t) (/ 1 z)))
0.2b
(/ 1 (- (/ z y) (* (* 0.5 t) (/ 1 z))))
0.2b
(* (* 0.5 t) (/ 1 z))

rewrite130.0ms

Algorithm
rewrite-expression-head
Rules
30×add-exp-log
26×add-sqr-sqrt
23×*-un-lft-identity
20×times-frac
19×add-cube-cbrt
18×add-cbrt-cube
13×associate-*r*
12×prod-exp
10×pow1
add-log-exp
div-exp cbrt-unprod
associate-/r/ frac-sub insert-posit16
cbrt-undiv rec-exp associate-/r* flip3-- 1-exp pow-prod-down associate-*r/ un-div-inv div-inv flip-- associate-/l* difference-of-squares
sub-neg diff-log distribute-lft-out--
clear-num frac-2neg associate-*l* *-commutative pow-flip inv-pow
Counts
4 → 108
Calls
4 calls:
53.0ms
(- x (/ 1 (- (/ z y) (* (* 0.5 t) (/ 1 z)))))
31.0ms
(- (/ z y) (* (* 0.5 t) (/ 1 z)))
23.0ms
(/ 1 (- (/ z y) (* (* 0.5 t) (/ 1 z))))
21.0ms
(* (* 0.5 t) (/ 1 z))

series180.0ms

Counts
4 → 12
Calls
4 calls:
58.0ms
(- x (/ 1 (- (/ z y) (* (* 0.5 t) (/ 1 z)))))
56.0ms
(- (/ z y) (* (* 0.5 t) (/ 1 z)))
28.0ms
(/ 1 (- (/ z y) (* (* 0.5 t) (/ 1 z))))
37.0ms
(* (* 0.5 t) (/ 1 z))

simplify2.4s

Counts
120 → 120
Iterations
IterNodes
done5072
33806
21292
1453
0178

prune394.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes212.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done15
115
012

end0.0ms

sample1.3s

Algorithm
intervals
Results
1.0s8000×body80valid