Details

Time bar (total: 14.0s)

sample44.0ms

Algorithm
intervals
Results
19.0ms360×body80valid

simplify1.3s

Counts
1 → 1
Iterations
IterNodes
done5000
81520
7525
6220
5110
476
357
241
120
09

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize22.0ms

Local error

Found 1 expressions with local error:

0.3b
(/ (- (+ x y) z) (* t 2.0))

rewrite94.0ms

Algorithm
rewrite-expression-head
Rules
13×*-un-lft-identity
add-sqr-sqrt
times-frac add-cbrt-cube add-exp-log associate-/l*
distribute-lft-out--
add-cube-cbrt
cbrt-undiv div-exp distribute-lft-out difference-of-squares associate-/l/
expm1-log1p-u pow1 clear-num associate-/r* frac-2neg flip3-- div-sub prod-exp cbrt-unprod log1p-expm1-u div-inv flip-- add-log-exp
Counts
1 → 32
Calls
1 calls:
92.0ms
(/ (- (+ x y) z) (* t 2.0))

series60.0ms

Counts
1 → 3
Calls
1 calls:
60.0ms
(/ (- (+ x y) z) (* t 2.0))

simplify2.2s

Counts
35 → 35
Iterations
IterNodes
done5000
34200
2750
1206
080

prune208.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize19.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (/ (+ x y) (* t 2.0)) (/ z (* t 2.0)))
0.2b
(/ (+ x y) (* t 2.0))

rewrite125.0ms

Algorithm
rewrite-expression-head
Rules
64×times-frac
63×*-un-lft-identity
56×prod-diff
38×add-sqr-sqrt
36×add-cube-cbrt
19×div-inv
11×distribute-lft-out
fma-neg
add-cbrt-cube add-exp-log
associate-/l* add-log-exp
distribute-lft-out--
expm1-log1p-u pow1 cbrt-undiv div-exp log1p-expm1-u associate-/l/
clear-num associate-/r* sub-neg frac-2neg flip3-+ flip3-- distribute-rgt-out-- diff-log prod-exp frac-sub cbrt-unprod flip-+ flip-- sub-div difference-of-squares
Counts
2 → 112
Calls
2 calls:
101.0ms
(- (/ (+ x y) (* t 2.0)) (/ z (* t 2.0)))
19.0ms
(/ (+ x y) (* t 2.0))

series98.0ms

Counts
2 → 6
Calls
2 calls:
56.0ms
(- (/ (+ x y) (* t 2.0)) (/ z (* t 2.0)))
42.0ms
(/ (+ x y) (* t 2.0))

simplify2.1s

Counts
118 → 118
Iterations
IterNodes
done5001
21816
1477
0187

prune793.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- (+ x y) z) t)
0.4b
(/ (/ (- (+ x y) z) t) 2.0)

rewrite197.0ms

Algorithm
rewrite-expression-head
Rules
156×*-un-lft-identity times-frac
108×add-sqr-sqrt
76×add-cube-cbrt
32×distribute-lft-out--
28×associate-/l*
16×distribute-lft-out difference-of-squares
add-cbrt-cube add-exp-log
associate-/r* div-inv
cbrt-undiv div-exp
div-sub associate-/l/
expm1-log1p-u pow1 clear-num frac-2neg log1p-expm1-u add-log-exp
flip3-- flip--
Counts
2 → 153
Calls
2 calls:
95.0ms
(/ (- (+ x y) z) t)
88.0ms
(/ (/ (- (+ x y) z) t) 2.0)

series113.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(/ (- (+ x y) z) t)
73.0ms
(/ (/ (- (+ x y) z) t) 2.0)

simplify1.5s

Counts
159 → 159
Iterations
IterNodes
done5001
22231
1528
0219

prune868.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ x y)) (cbrt (+ x y)))
0.6b
(cbrt (+ x y))
0.6b
(cbrt (+ x y))
0.6b
(cbrt (+ x y))

rewrite79.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
35×*-un-lft-identity
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
11×pow1
flip3-+ pow1/3 swap-sqr flip-+ distribute-lft-out
associate-*r* associate-*l*
add-exp-log
expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
pow-prod-down associate-*l/ associate-*r/ pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 103
Calls
4 calls:
57.0ms
(* (cbrt (+ x y)) (cbrt (+ x y)))
9.0ms
(cbrt (+ x y))
3.0ms
(cbrt (+ x y))
3.0ms
(cbrt (+ x y))

series716.0ms

Counts
4 → 12
Calls
4 calls:
223.0ms
(* (cbrt (+ x y)) (cbrt (+ x y)))
154.0ms
(cbrt (+ x y))
150.0ms
(cbrt (+ x y))
188.0ms
(cbrt (+ x y))

simplify1.0s

Counts
115 → 115
Iterations
IterNodes
done5001
21129
1286
0120

prune681.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes361.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done12
112
010

end0.0ms

sample1.3s

Algorithm
intervals
Results
470.0ms10940×body80valid