Details

Time bar (total: 21.1s)

sample50.0ms

Algorithm
intervals
Results
23.0ms353×body80valid

simplify3.6s

Counts
1 → 1
Iterations

Useful iterations: 8 (1.6s)

IterNodesCost
01417
12517
24617
39517
415417
522417
634917
775517
8261115
done500015

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* (- 1.0 t) 2.0) (/ 2.0 z))
0.0b
(+ (/ (+ (* (- 1.0 t) 2.0) (/ 2.0 z)) t) (/ x y))
0.3b
(/ (+ (* (- 1.0 t) 2.0) (/ 2.0 z)) t)

rewrite273.0ms

Algorithm
rewrite-expression-head
Rules
17×*-un-lft-identity
11×add-sqr-sqrt add-cube-cbrt times-frac
7×add-log-exp
5×add-exp-log frac-add add-cbrt-cube
4×associate-*l/ associate-/l/
3×pow1 flip3-+ associate-/r* flip-+ associate-/l*
2×+-commutative flip3-- sum-log flip-- distribute-lft-out
1×cbrt-undiv frac-2neg div-exp clear-num div-inv
Counts
3 → 58
Calls
3 calls:
38.0ms
(+ (* (- 1.0 t) 2.0) (/ 2.0 z))
152.0ms
(+ (/ (+ (* (- 1.0 t) 2.0) (/ 2.0 z)) t) (/ x y))
80.0ms
(/ (+ (* (- 1.0 t) 2.0) (/ 2.0 z)) t)

series194.0ms

Counts
3 → 9
Calls
3 calls:
32.0ms
(+ (* (- 1.0 t) 2.0) (/ 2.0 z))
83.0ms
(+ (/ (+ (* (- 1.0 t) 2.0) (/ 2.0 z)) t) (/ x y))
78.0ms
(/ (+ (* (- 1.0 t) 2.0) (/ 2.0 z)) t)

simplify2.2s

Counts
67 → 67
Iterations

Useful iterations: 3 (966.0ms)

IterNodesCost
01331266
13541207
210281119
333071101
done50021101

prune222.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (/ 2.0 (* t z)) (- (/ 2.0 t) 2.0))
0.0b
(+ (+ (/ 2.0 (* t z)) (- (/ 2.0 t) 2.0)) (/ x y))
0.0b
(- (/ 2.0 t) 2.0)
0.3b
(/ 2.0 (* t z))

rewrite538.0ms

Algorithm
rewrite-expression-head
Rules
22×*-un-lft-identity
20×add-log-exp
11×add-sqr-sqrt
9×add-exp-log add-cbrt-cube
8×frac-add
7×sum-log distribute-lft-out
6×add-cube-cbrt
4×pow1 times-frac
3×flip3-- flip3-+ diff-log flip-- flip-+ associate-/l* distribute-lft-out--
2×cbrt-undiv +-commutative associate-+r- sub-neg associate-+r+ div-exp difference-of-squares
1×associate-+l- associate-+l+ frac-2neg prod-exp clear-num associate-/r* cbrt-unprod div-inv
Counts
4 → 77
Calls
4 calls:
70.0ms
(+ (/ 2.0 (* t z)) (- (/ 2.0 t) 2.0))
433.0ms
(+ (+ (/ 2.0 (* t z)) (- (/ 2.0 t) 2.0)) (/ x y))
18.0ms
(- (/ 2.0 t) 2.0)
12.0ms
(/ 2.0 (* t z))

series198.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(+ (/ 2.0 (* t z)) (- (/ 2.0 t) 2.0))
79.0ms
(+ (+ (/ 2.0 (* t z)) (- (/ 2.0 t) 2.0)) (/ x y))
43.0ms
(- (/ 2.0 t) 2.0)
29.0ms
(/ 2.0 (* t z))

simplify884.0ms

Counts
89 → 89
Iterations

Useful iterations: done (880.0ms)

IterNodesCost
01521463
14111364
214551298
done50001254

prune284.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b
(* t (- (* (- 1.0 t) 2.0) (/ 2.0 z)))
0.3b
(* (/ 2.0 z) (/ 2.0 z))
2.4b
(- (* (* (- 1.0 t) 2.0) (* (- 1.0 t) 2.0)) (* (/ 2.0 z) (/ 2.0 z)))
20.9b
(/ (- (* (* (- 1.0 t) 2.0) (* (- 1.0 t) 2.0)) (* (/ 2.0 z) (/ 2.0 z))) (* t (- (* (- 1.0 t) 2.0) (/ 2.0 z))))

rewrite467.0ms

Algorithm
rewrite-expression-head
Rules
105×associate-*l/
52×frac-sub
50×add-sqr-sqrt
44×times-frac
42×flip3-- flip--
41×frac-times
37×associate-*r/
36×add-cube-cbrt *-un-lft-identity
26×associate-/l/
23×add-exp-log add-cbrt-cube
16×associate-*r* associate-*l*
13×pow1 swap-sqr
6×cbrt-undiv div-exp prod-exp cbrt-unprod add-log-exp
5×div-inv unswap-sqr
4×associate-/r/ associate-/l*
3×sub-neg difference-of-squares
2×distribute-rgt-in distribute-lft-in pow-prod-down *-commutative
1×pow2 frac-2neg pow-plus diff-log div-sub clear-num associate-/r* pow-sqr pow-prod-up
Counts
4 → 184
Calls
4 calls:
79.0ms
(* t (- (* (- 1.0 t) 2.0) (/ 2.0 z)))
24.0ms
(* (/ 2.0 z) (/ 2.0 z))
99.0ms
(- (* (* (- 1.0 t) 2.0) (* (- 1.0 t) 2.0)) (* (/ 2.0 z) (/ 2.0 z)))
255.0ms
(/ (- (* (* (- 1.0 t) 2.0) (* (- 1.0 t) 2.0)) (* (/ 2.0 z) (/ 2.0 z))) (* t (- (* (- 1.0 t) 2.0) (/ 2.0 z))))

series342.0ms

Counts
4 → 12
Calls
4 calls:
66.0ms
(* t (- (* (- 1.0 t) 2.0) (/ 2.0 z)))
48.0ms
(* (/ 2.0 z) (/ 2.0 z))
52.0ms
(- (* (* (- 1.0 t) 2.0) (* (- 1.0 t) 2.0)) (* (/ 2.0 z) (/ 2.0 z)))
175.0ms
(/ (- (* (* (- 1.0 t) 2.0) (* (- 1.0 t) 2.0)) (* (/ 2.0 z) (/ 2.0 z))) (* t (- (* (- 1.0 t) 2.0) (/ 2.0 z))))

simplify3.1s

Counts
196 → 196
Iterations

Useful iterations: done (3.1s)

IterNodesCost
03454891
110624540
244713826
done50003761

prune1.0s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize43.0ms

Local error

Found 4 expressions with local error:

1.9b
(* (* t (- (* (- 1.0 t) 2.0) (/ 2.0 z))) (* (+ 1.0 t) z))
3.4b
(* (* (* (- 1.0 t) 2.0) (* (- (* 1.0 1.0) (* t t)) 2.0)) z)
3.6b
(- (* (* (* (- 1.0 t) 2.0) (* (- (* 1.0 1.0) (* t t)) 2.0)) z) (* (+ 1.0 t) (* (/ 2.0 z) 2.0)))
23.5b
(/ (- (* (* (* (- 1.0 t) 2.0) (* (- (* 1.0 1.0) (* t t)) 2.0)) z) (* (+ 1.0 t) (* (/ 2.0 z) 2.0))) (* (* t (- (* (- 1.0 t) 2.0) (/ 2.0 z))) (* (+ 1.0 t) z)))

rewrite2.0s

Algorithm
rewrite-expression-head
Rules
362×associate-*l/
92×frac-times frac-sub
80×flip3-- flip--
66×associate-*r/
52×add-exp-log add-cbrt-cube
42×flip3-+ flip-+ associate-/l/
34×pow1
29×prod-exp cbrt-unprod
21×pow-prod-down
14×associate-/r/
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×add-log-exp
5×cbrt-undiv div-exp
4×associate-*r*
3×times-frac associate-/l*
2×associate-*l* *-commutative
1×sub-neg frac-2neg diff-log div-sub clear-num associate-/r* div-inv
Counts
4 → 207
Calls
4 calls:
179.0ms
(* (* t (- (* (- 1.0 t) 2.0) (/ 2.0 z))) (* (+ 1.0 t) z))
364.0ms
(* (* (* (- 1.0 t) 2.0) (* (- (* 1.0 1.0) (* t t)) 2.0)) z)
456.0ms
(- (* (* (* (- 1.0 t) 2.0) (* (- (* 1.0 1.0) (* t t)) 2.0)) z) (* (+ 1.0 t) (* (/ 2.0 z) 2.0)))
998.0ms
(/ (- (* (* (* (- 1.0 t) 2.0) (* (- (* 1.0 1.0) (* t t)) 2.0)) z) (* (+ 1.0 t) (* (/ 2.0 z) 2.0))) (* (* t (- (* (- 1.0 t) 2.0) (/ 2.0 z))) (* (+ 1.0 t) z)))

series617.0ms

Counts
4 → 12
Calls
4 calls:
77.0ms
(* (* t (- (* (- 1.0 t) 2.0) (/ 2.0 z))) (* (+ 1.0 t) z))
82.0ms
(* (* (* (- 1.0 t) 2.0) (* (- (* 1.0 1.0) (* t t)) 2.0)) z)
87.0ms
(- (* (* (* (- 1.0 t) 2.0) (* (- (* 1.0 1.0) (* t t)) 2.0)) z) (* (+ 1.0 t) (* (/ 2.0 z) 2.0)))
370.0ms
(/ (- (* (* (* (- 1.0 t) 2.0) (* (- (* 1.0 1.0) (* t t)) 2.0)) z) (* (+ 1.0 t) (* (/ 2.0 z) 2.0))) (* (* t (- (* (- 1.0 t) 2.0) (/ 2.0 z))) (* (+ 1.0 t) z)))

simplify1.1s

Counts
219 → 219
Iterations

Useful iterations: done (1.0s)

IterNodesCost
050510834
1193610107
done50009247

prune1.9s

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes232.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01215
11515
done1515

end0.0ms

sample1.8s

Algorithm
intervals
Results
1.1s10414×body80valid