Details

Time bar (total: 1.6m)

sample259.0ms

Algorithm
intervals
Results
96.0ms78×body1280valid
71.0ms59×body640valid
33.0ms190×body80valid
15.0ms23×body320valid
5.0ms10×body160valid

simplify7.1s

Counts
1 → 1
Iterations
IterNodes
done5000
44275
3774
2156
148
019

prune26.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 35.5b

localize123.0ms

Local error

Found 4 expressions with local error:

2.5b
(* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k))
3.1b
(* (/ (pow t 3.0) (* l l)) (sin k))
15.8b
(/ (pow t 3.0) (* l l))
16.7b
(* (* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))

rewrite1.4s

Algorithm
rewrite-expression-head
Rules
108×add-exp-log
58×prod-exp
52×add-cbrt-cube
26×cbrt-unprod
24×div-exp
21×add-sqr-sqrt
20×pow1
19×*-un-lft-identity
17×times-frac
16×associate-*l/
14×add-cube-cbrt
13×associate-*l*
11×associate-*r*
10×frac-times unpow-prod-down pow-prod-down
8×pow-to-exp cbrt-undiv pow-exp tan-quot
7×associate-/l*
6×associate-*r/
4×expm1-log1p-u flip3-+ flip-+ insert-posit16 log1p-expm1-u add-log-exp unswap-sqr sqr-pow
3×*-commutative distribute-lft-out
2×div-inv
1×distribute-rgt-in clear-num associate-/r* frac-2neg distribute-lft-in
Counts
4 → 156
Calls
4 calls:
170.0ms
(* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k))
88.0ms
(* (/ (pow t 3.0) (* l l)) (sin k))
23.0ms
(/ (pow t 3.0) (* l l))
1.1s
(* (* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))

series3.5s

Counts
4 → 12
Calls
4 calls:
787.0ms
(* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k))
668.0ms
(* (/ (pow t 3.0) (* l l)) (sin k))
433.0ms
(/ (pow t 3.0) (* l l))
1.7s
(* (* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))

simplify5.9s

Counts
168 → 168
Iterations
IterNodes
done5004
23635
1814
0266

prune2.5s

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 14.2b

localize199.0ms

Local error

Found 4 expressions with local error:

2.5b
(* (* (/ (pow (* (cbrt t) (cbrt t)) 3.0) l) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k))
2.9b
(* (/ (pow (cbrt t) 3.0) l) (sin k))
7.0b
(/ (pow (* (cbrt t) (cbrt t)) 3.0) l)
16.7b
(* (* (* (/ (pow (* (cbrt t) (cbrt t)) 3.0) l) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))

rewrite2.0s

Algorithm
rewrite-expression-head
Rules
304×add-exp-log
184×prod-exp
78×add-cbrt-cube
77×div-exp
50×add-sqr-sqrt
49×times-frac
44×associate-*l/ cbrt-unprod
42×*-un-lft-identity
37×add-cube-cbrt
36×associate-*l*
34×frac-times
33×pow-exp
29×pow1
24×unpow-prod-down
22×pow-to-exp
17×pow-prod-down
16×tan-quot
14×associate-*r/
12×cbrt-undiv
11×associate-*r*
10×cbrt-prod
8×flip3-+ flip-+ sqr-pow
5×associate-/l* unswap-sqr
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×associate-/r* *-commutative distribute-lft-out
2×div-inv
1×distribute-rgt-in clear-num frac-2neg distribute-lft-in
Counts
4 → 241
Calls
4 calls:
295.0ms
(* (* (/ (pow (* (cbrt t) (cbrt t)) 3.0) l) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k))
74.0ms
(* (/ (pow (cbrt t) 3.0) l) (sin k))
12.0ms
(/ (pow (* (cbrt t) (cbrt t)) 3.0) l)
1.6s
(* (* (* (/ (pow (* (cbrt t) (cbrt t)) 3.0) l) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))

series4.0s

Counts
4 → 12
Calls
4 calls:
968.0ms
(* (* (/ (pow (* (cbrt t) (cbrt t)) 3.0) l) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k))
629.0ms
(* (/ (pow (cbrt t) 3.0) l) (sin k))
503.0ms
(/ (pow (* (cbrt t) (cbrt t)) 3.0) l)
1.9s
(* (* (* (/ (pow (* (cbrt t) (cbrt t)) 3.0) l) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))

simplify3.3s

Counts
253 → 253
Iterations
IterNodes
done5000
11355
0444

prune4.0s

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 11.5b

localize299.0ms

Local error

Found 4 expressions with local error:

0.7b
(pow (cbrt t) 3.0)
2.5b
(* (* (* (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) l)) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k))
2.9b
(* (/ (pow (cbrt t) 3.0) l) (sin k))
16.7b
(* (* (* (* (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) l)) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))

rewrite3.0s

Algorithm
rewrite-expression-head
Rules
1369×add-exp-log
991×prod-exp
289×div-exp
224×pow-exp
134×pow-to-exp
115×add-cbrt-cube
75×cbrt-unprod
44×associate-*l/
43×add-sqr-sqrt
36×associate-*l*
35×*-un-lft-identity
34×frac-times times-frac
30×pow1 associate-*r/ add-cube-cbrt
26×unpow-prod-down
17×pow-prod-down
16×tan-quot
13×cbrt-prod cbrt-undiv
11×associate-*r*
8×flip3-+ flip-+
5×unswap-sqr sqr-pow
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×pow-unpow *-commutative distribute-lft-out
2×pow-pow
1×distribute-rgt-in distribute-lft-in pow1/3 div-inv
Counts
4 → 390
Calls
4 calls:
11.0ms
(pow (cbrt t) 3.0)
503.0ms
(* (* (* (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) l)) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k))
60.0ms
(* (/ (pow (cbrt t) 3.0) l) (sin k))
2.2s
(* (* (* (* (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) l)) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))

series4.1s

Counts
4 → 12
Calls
4 calls:
609.0ms
(pow (cbrt t) 3.0)
859.0ms
(* (* (* (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) l)) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k))
613.0ms
(* (/ (pow (cbrt t) 3.0) l) (sin k))
2.0s
(* (* (* (* (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) l)) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))

simplify4.3s

Counts
402 → 402
Iterations
IterNodes
done5000
11689
0554

prune3.8s

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 3.8b

localize409.0ms

Local error

Found 4 expressions with local error:

15.4b
(cbrt (/ (pow (cbrt t) 3.0) l))
15.4b
(cbrt (/ (pow (cbrt t) 3.0) l))
15.4b
(cbrt (/ (pow (cbrt t) 3.0) l))
16.7b
(* (* (* (* (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) l)) (* (* (cbrt (/ (pow (cbrt t) 3.0) l)) (cbrt (/ (pow (cbrt t) 3.0) l))) (* (cbrt (/ (pow (cbrt t) 3.0) l)) (sin k)))) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))

rewrite11.1s

Algorithm
rewrite-expression-head
Rules
777×add-exp-log
631×prod-exp
209×frac-times
190×associate-*l/
147×cbrt-div
131×associate-*r/
129×cbrt-prod
90×times-frac add-cbrt-cube pow-exp
82×cbrt-unprod
80×div-exp
70×*-un-lft-identity
65×add-sqr-sqrt add-cube-cbrt
54×unpow-prod-down
48×tan-quot
45×pow-to-exp
37×pow1
32×flip3-+ flip-+
26×pow-prod-down
9×sqr-pow
5×cbrt-undiv associate-*r*
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×pow1/3 div-inv distribute-lft-out
1×distribute-rgt-in distribute-lft-in associate-*l* *-commutative
Counts
4 → 383
Calls
4 calls:
16.0ms
(cbrt (/ (pow (cbrt t) 3.0) l))
16.0ms
(cbrt (/ (pow (cbrt t) 3.0) l))
16.0ms
(cbrt (/ (pow (cbrt t) 3.0) l))
10.9s
(* (* (* (* (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) l)) (* (* (cbrt (/ (pow (cbrt t) 3.0) l)) (cbrt (/ (pow (cbrt t) 3.0) l))) (* (cbrt (/ (pow (cbrt t) 3.0) l)) (sin k)))) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))

series3.8s

Counts
4 → 12
Calls
4 calls:
536.0ms
(cbrt (/ (pow (cbrt t) 3.0) l))
619.0ms
(cbrt (/ (pow (cbrt t) 3.0) l))
518.0ms
(cbrt (/ (pow (cbrt t) 3.0) l))
2.1s
(* (* (* (* (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) l)) (* (* (cbrt (/ (pow (cbrt t) 3.0) l)) (cbrt (/ (pow (cbrt t) 3.0) l))) (* (cbrt (/ (pow (cbrt t) 3.0) l)) (sin k)))) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))

simplify6.9s

Counts
395 → 395
Iterations
IterNodes
done5000
12496
0746

prune5.5s

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 3.8b

regimes3.1s

Accuracy

29.2% (9.3b remaining)

Error of 14.2b against oracle of 4.9b and baseline of 18.1b

bsearch1.4s

Steps
ItersRangePoint
4
1.839493715455679e+133
3.3182823546818055e+133
2.108181112873616e+133
9
0.15022451063614659
6472034.705974855
117.02426593287463
9
3.2725380053770776e-31
6.579902534134689e-26
4.161188351937518e-31
7
7.79832285835293e-114
1.0418862172495508e-111
3.2690029653131573e-112
8
-1.6711358187060892e+105
-2.4334994185842963e+101
-2.746467164580857e+101

simplify74.0ms

Iterations
IterNodes
done100
1100
078

end0.0ms

sample11.0s

Algorithm
intervals
Results
4.6s2045×body1280valid
2.8s1744×body640valid
1.9s5941×body80valid
990.0ms851×body320valid
200.0ms410×body160valid