Details

Time bar (total: 37.2s)

sample456.0ms

Algorithm
intervals
Results
239.0ms92×body2560valid
101.0ms78×body1280valid
42.0ms45×body640valid
42.0ms18×body160valid
10.0ms256×pre80true
10.0ms19×body320valid
1.0ms4×body80valid

simplify5.0ms

Counts
1 → 1
Iterations
IterNodes
314
214
110
06

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.9b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1 (tan x))
4.0b
(- (/ 1 x) (/ 1 (tan x)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
36×add-sqr-sqrt
28×*-un-lft-identity
27×times-frac
12×add-cube-cbrt
9×difference-of-squares
7×distribute-lft-out--
6×add-exp-log
5×div-inv
4×add-cbrt-cube add-log-exp
3×pow1 associate-/r* associate-/l*
2×div-exp insert-posit16
1×cbrt-undiv rec-exp clear-num sub-neg frac-2neg flip3-- diff-log 1-exp tan-quot associate-/r/ frac-sub pow-flip flip-- inv-pow
Counts
2 → 63
Calls
2 calls:
6.0ms
(/ 1 (tan x))
14.0ms
(- (/ 1 x) (/ 1 (tan x)))

series145.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(/ 1 (tan x))
105.0ms
(- (/ 1 x) (/ 1 (tan x)))

simplify961.0ms

Counts
69 → 69
Iterations
IterNodes
42080
31198
2566
1236
0120

prune489.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize36.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 1/3 (* (* x x) 1/45))
0.1b
(* 2/945 (pow x 5))
0.1b
(* (* x x) 1/45)
0.3b
(* (+ 1/3 (* (* x x) 1/45)) x)

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
16×add-exp-log
13×add-cbrt-cube associate-*r*
11×pow1
10×*-un-lft-identity add-cube-cbrt
7×associate-*l* prod-exp
6×add-log-exp
5×cbrt-unprod unswap-sqr
4×unpow-prod-down pow-prod-down insert-posit16
3×*-commutative
2×flip3-+ associate-*l/ flip-+ sqr-pow
1×pow-to-exp +-commutative sum-log pow-exp
Counts
4 → 79
Calls
4 calls:
5.0ms
(+ 1/3 (* (* x x) 1/45))
8.0ms
(* 2/945 (pow x 5))
18.0ms
(* (* x x) 1/45)
12.0ms
(* (+ 1/3 (* (* x x) 1/45)) x)

series308.0ms

Counts
4 → 12
Calls
4 calls:
95.0ms
(+ 1/3 (* (* x x) 1/45))
79.0ms
(* 2/945 (pow x 5))
33.0ms
(* (* x x) 1/45)
100.0ms
(* (+ 1/3 (* (* x x) 1/45)) x)

simplify1.3s

Counts
91 → 91
Iterations
IterNodes
33131
2963
1322
0131

prune825.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize55.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* x x) 1/45)
0.1b
(* (* (* x x) 1/45) (* (* x x) 1/45))
0.3b
(* (- (* 1/3 1/3) (* (* (* x x) 1/45) (* (* x x) 1/45))) x)
0.4b
(/ (* (- (* 1/3 1/3) (* (* (* x x) 1/45) (* (* x x) 1/45))) x) (- 1/3 (* (* x x) 1/45)))

rewrite202.0ms

Algorithm
rewrite-expression-head
Rules
125×pow1
70×pow-prod-down
52×add-cbrt-cube add-exp-log
32×prod-exp cbrt-unprod
12×add-sqr-sqrt
9×*-un-lft-identity pow-sqr pow-prod-up add-cube-cbrt
7×associate-*r*
6×associate-*l*
4×associate-*l/ insert-posit16 add-log-exp
3×associate-/r* times-frac pow-plus flip3-- *-commutative flip--
2×cbrt-undiv div-exp associate-/r/ unswap-sqr associate-/l/
1×pow2 clear-num frac-2neg swap-sqr div-inv associate-/l* difference-of-squares
Counts
4 → 129
Calls
4 calls:
16.0ms
(* (* x x) 1/45)
123.0ms
(* (* (* x x) 1/45) (* (* x x) 1/45))
23.0ms
(* (- (* 1/3 1/3) (* (* (* x x) 1/45) (* (* x x) 1/45))) x)
36.0ms
(/ (* (- (* 1/3 1/3) (* (* (* x x) 1/45) (* (* x x) 1/45))) x) (- 1/3 (* (* x x) 1/45)))

series615.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(* (* x x) 1/45)
58.0ms
(* (* (* x x) 1/45) (* (* x x) 1/45))
211.0ms
(* (- (* 1/3 1/3) (* (* (* x x) 1/45) (* (* x x) 1/45))) x)
297.0ms
(/ (* (- (* 1/3 1/3) (* (* (* x x) 1/45) (* (* x x) 1/45))) x) (- 1/3 (* (* x x) 1/45)))

simplify8.0s

Counts
141 → 141
Iterations
IterNodes
39362
21631
1444
0164

prune1.4s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize48.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* (* x x) 1/45) (* (* x x) 1/45))
0.2b
(* 1/3 (* (* x x) 1/45))
0.3b
(* x (+ (* 1/91125 (* (* (* x x) (* x x)) (* x x))) 1/27))
0.4b
(/ (* x (+ (* 1/91125 (* (* (* x x) (* x x)) (* x x))) 1/27)) (+ (* 1/3 1/3) (- (* (* (* x x) 1/45) (* (* x x) 1/45)) (* 1/3 (* (* x x) 1/45)))))

rewrite1.8s

Algorithm
rewrite-expression-head
Rules
129×pow1
73×pow-prod-down
56×add-cbrt-cube add-exp-log
35×prod-exp cbrt-unprod
11×add-sqr-sqrt
9×*-un-lft-identity pow-sqr pow-prod-up add-cube-cbrt
7×associate-*l*
5×associate-*r*
4×associate-*r/ insert-posit16 add-log-exp
3×associate-/r* flip3-+ times-frac pow-plus *-commutative flip-+
2×cbrt-undiv div-exp associate-/r/ associate-/l/
1×pow2 distribute-rgt-in clear-num frac-2neg distribute-lft-in swap-sqr div-inv associate-/l* unswap-sqr
Counts
4 → 132
Calls
4 calls:
101.0ms
(* (* (* x x) 1/45) (* (* x x) 1/45))
39.0ms
(* 1/3 (* (* x x) 1/45))
1.0s
(* x (+ (* 1/91125 (* (* (* x x) (* x x)) (* x x))) 1/27))
660.0ms
(/ (* x (+ (* 1/91125 (* (* (* x x) (* x x)) (* x x))) 1/27)) (+ (* 1/3 1/3) (- (* (* (* x x) 1/45) (* (* x x) 1/45)) (* 1/3 (* (* x x) 1/45)))))

series782.0ms

Counts
4 → 12
Calls
4 calls:
70.0ms
(* (* (* x x) 1/45) (* (* x x) 1/45))
56.0ms
(* 1/3 (* (* x x) 1/45))
273.0ms
(* x (+ (* 1/91125 (* (* (* x x) (* x x)) (* x x))) 1/27))
382.0ms
(/ (* x (+ (* 1/91125 (* (* (* x x) (* x x)) (* x x))) 1/27)) (+ (* 1/3 1/3) (- (* (* (* x x) 1/45) (* (* x x) 1/45)) (* 1/3 (* (* x x) 1/45)))))

simplify903.0ms

Counts
144 → 144
Iterations
IterNodes
22430
1524
0183

prune1.6s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

regimes24.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify7.0ms

Iterations
IterNodes
230
130
022

end0.0ms

sample17.1s

Algorithm
intervals
Results
10.0s3261×body2560valid
4.7s2475×body1280valid
1.3s1261×body640valid
407.0ms620×body320valid
372.0ms8000×pre80true
125.0ms321×body160valid
12.0ms62×body80valid