Details

Time bar (total: 19.4s)

sample31.0ms

Algorithm
intervals
Results
15.0ms320×body80valid

simplify1.5s

Counts
1 → 1
Iterations
IterNodes
done5003
71501
6454
5215
4152
392
244
125
014

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.4b

localize43.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
0.0b
(+ 2.0 (* (* z 2.0) (- 1.0 t)))
0.0b
(* (* z 2.0) (- 1.0 t))
6.4b
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

rewrite110.0ms

Algorithm
rewrite-expression-head
Rules
14×add-cbrt-cube add-exp-log
11×*-un-lft-identity
9×add-sqr-sqrt pow1
8×add-log-exp
7×add-cube-cbrt
5×associate-*r*
4×distribute-rgt-in associate-+r+ sub-neg distribute-lft-in prod-exp cbrt-unprod
3×flip3-+ times-frac pow-prod-down flip-+ associate-/l*
2×cbrt-undiv +-commutative sum-log div-exp associate-*r/ associate-/l/
1×clear-num associate-/r* frac-2neg flip3-- associate-*l* frac-add *-commutative div-inv flip-- distribute-lft-out distribute-lft-out-- difference-of-squares
Counts
4 → 77
Calls
4 calls:
40.0ms
(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
6.0ms
(+ 2.0 (* (* z 2.0) (- 1.0 t)))
31.0ms
(* (* z 2.0) (- 1.0 t))
29.0ms
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

series279.0ms

Counts
4 → 12
Calls
4 calls:
81.0ms
(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
58.0ms
(+ 2.0 (* (* z 2.0) (- 1.0 t)))
50.0ms
(* (* z 2.0) (- 1.0 t))
89.0ms
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

simplify1.7s

Counts
89 → 89
Iterations
IterNodes
done5005
21725
1449
0150

prune544.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (- (/ 2.0 (* z t)) 2.0) (/ 2.0 t))
0.0b
(- (/ 2.0 (* z t)) 2.0)
0.0b
(+ (/ x y) (+ (- (/ 2.0 (* z t)) 2.0) (/ 2.0 t)))
0.6b
(/ 2.0 (* z t))

rewrite442.0ms

Algorithm
rewrite-expression-head
Rules
22×*-un-lft-identity
20×add-log-exp
9×add-cbrt-cube add-exp-log
8×add-sqr-sqrt frac-add
7×sum-log distribute-lft-out
6×add-cube-cbrt
4×pow1
3×flip3-+ times-frac flip3-- diff-log flip-+ flip-- associate-/l* distribute-lft-out--
2×cbrt-undiv +-commutative associate-+l+ sub-neg div-exp associate-+l-
1×associate-+r+ clear-num associate-+r- associate-/r* frac-2neg prod-exp cbrt-unprod div-inv difference-of-squares
Counts
4 → 76
Calls
4 calls:
131.0ms
(+ (- (/ 2.0 (* z t)) 2.0) (/ 2.0 t))
19.0ms
(- (/ 2.0 (* z t)) 2.0)
275.0ms
(+ (/ x y) (+ (- (/ 2.0 (* z t)) 2.0) (/ 2.0 t)))
12.0ms
(/ 2.0 (* z t))

series191.0ms

Counts
4 → 12
Calls
4 calls:
51.0ms
(+ (- (/ 2.0 (* z t)) 2.0) (/ 2.0 t))
38.0ms
(- (/ 2.0 (* z t)) 2.0)
70.0ms
(+ (/ x y) (+ (- (/ 2.0 (* z t)) 2.0) (/ 2.0 t)))
31.0ms
(/ 2.0 (* z t))

simplify1.5s

Counts
88 → 88
Iterations
IterNodes
done5007
21706
1420
0151

prune563.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ (sqrt 2.0) (/ (* z t) (sqrt 2.0))) 2.0)
0.0b
(+ (- (/ (sqrt 2.0) (/ (* z t) (sqrt 2.0))) 2.0) (/ 2.0 t))
0.4b
(/ (* z t) (sqrt 2.0))
0.7b
(/ (sqrt 2.0) (/ (* z t) (sqrt 2.0)))

rewrite378.0ms

Algorithm
rewrite-expression-head
Rules
110×times-frac
61×add-sqr-sqrt sqrt-prod
58×*-un-lft-identity
51×add-cube-cbrt
18×add-cbrt-cube add-exp-log
16×associate-/r*
11×add-log-exp
10×div-inv
7×cbrt-undiv div-exp associate-/l*
4×pow1
3×distribute-lft-out-- difference-of-squares
2×associate-+l+ clear-num sum-log sub-neg frac-2neg flip3-- diff-log frac-add prod-exp associate-/r/ cbrt-unprod flip-- distribute-lft-out
1×+-commutative flip3-+ distribute-rgt-out-- associate-+l- flip-+
Counts
4 → 157
Calls
4 calls:
77.0ms
(- (/ (sqrt 2.0) (/ (* z t) (sqrt 2.0))) 2.0)
247.0ms
(+ (- (/ (sqrt 2.0) (/ (* z t) (sqrt 2.0))) 2.0) (/ 2.0 t))
16.0ms
(/ (* z t) (sqrt 2.0))
26.0ms
(/ (sqrt 2.0) (/ (* z t) (sqrt 2.0)))

series385.0ms

Counts
4 → 12
Calls
4 calls:
102.0ms
(- (/ (sqrt 2.0) (/ (* z t) (sqrt 2.0))) 2.0)
84.0ms
(+ (- (/ (sqrt 2.0) (/ (* z t) (sqrt 2.0))) 2.0) (/ 2.0 t))
98.0ms
(/ (* z t) (sqrt 2.0))
101.0ms
(/ (sqrt 2.0) (/ (* z t) (sqrt 2.0)))

simplify1.6s

Counts
169 → 169
Iterations
IterNodes
done5004
22061
1598
0229

prune824.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ (sqrt 2.0) (/ (/ (* z t) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))) 2.0)
0.3b
(/ (/ (* z t) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))
0.3b
(/ (* z t) (sqrt (sqrt 2.0)))
0.7b
(/ (sqrt 2.0) (/ (/ (* z t) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))))

rewrite672.0ms

Algorithm
rewrite-expression-head
Rules
2342×times-frac
1996×sqrt-prod
901×add-sqr-sqrt
870×*-un-lft-identity
868×add-cube-cbrt
139×associate-/r*
84×div-inv
32×add-cbrt-cube add-exp-log
20×associate-/l*
16×cbrt-undiv div-exp
9×difference-of-squares
6×add-log-exp
4×pow1
3×clear-num frac-2neg prod-exp cbrt-unprod
2×distribute-lft-out--
1×sub-neg flip3-- diff-log associate-/r/ flip-- associate-/l/
Counts
4 → 1084
Calls
4 calls:
466.0ms
(- (/ (sqrt 2.0) (/ (/ (* z t) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))) 2.0)
24.0ms
(/ (/ (* z t) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))
17.0ms
(/ (* z t) (sqrt (sqrt 2.0)))
64.0ms
(/ (sqrt 2.0) (/ (/ (* z t) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))))

series456.0ms

Counts
4 → 12
Calls
4 calls:
104.0ms
(- (/ (sqrt 2.0) (/ (/ (* z t) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))) 2.0)
93.0ms
(/ (/ (* z t) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))
181.0ms
(/ (* z t) (sqrt (sqrt 2.0)))
78.0ms
(/ (sqrt 2.0) (/ (/ (* z t) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))))

simplify2.2s

Counts
1096 → 1096
Iterations
IterNodes
done5001
12742
0948

prune4.0s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes377.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done15
115
012

end0.0ms

sample1.5s

Algorithm
intervals
Results
1.1s10452×body80valid