Details

Time bar (total: 23.5s)

sample40.0ms

Algorithm
intervals
Results
17.0ms280×body80valid
1.0ms2×body1280valid
0.0ms1×body640valid
0.0ms1×body160valid

simplify4.5s

Counts
1 → 1
Iterations
IterNodes
done5000
224974
214712
204407
194147
183842
173580
163270
152998
142618
132048
121486
111045
10683
9442
8352
7271
6212
5156
4101
358
237
122
013

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 60.0 (- z t))
0.2b
(fma (/ 60.0 (- z t)) (- x y) (* a 120.0))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt *-un-lft-identity
15×times-frac
12×add-cube-cbrt
5×associate-/r*
4×add-cbrt-cube add-exp-log distribute-lft-out-- difference-of-squares
3×associate-/l*
2×expm1-log1p-u pow1 associate-/r/ log1p-expm1-u add-log-exp
1×cbrt-undiv clear-num frac-2neg flip3-- div-exp fma-udef div-inv flip--
Counts
2 → 49
Calls
2 calls:
10.0ms
(/ 60.0 (- z t))
0.0ms
(fma (/ 60.0 (- z t)) (- x y) (* a 120.0))

series236.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(/ 60.0 (- z t))
190.0ms
(fma (/ 60.0 (- z t)) (- x y) (* a 120.0))

simplify1.6s

Counts
55 → 55
Iterations
IterNodes
done5001
31484
2496
1187
098

prune460.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 3 expressions with local error:

0.2b
(fma (* (sqrt 60.0) (/ (sqrt 60.0) (- z t))) (- x y) (* a 120.0))
0.2b
(/ (sqrt 60.0) (- z t))
0.3b
(* (sqrt 60.0) (/ (sqrt 60.0) (- z t)))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
83×add-sqr-sqrt
67×*-un-lft-identity
64×times-frac
41×add-cube-cbrt sqrt-prod
36×associate-*r*
13×distribute-lft-out-- difference-of-squares
10×add-cbrt-cube add-exp-log
6×associate-*l* associate-/l* unswap-sqr
5×pow1 associate-/r*
4×associate-/r/
3×expm1-log1p-u log1p-expm1-u add-log-exp
2×cbrt-undiv flip3-- div-exp prod-exp cbrt-unprod div-inv flip--
1×clear-num frac-2neg pow-prod-down associate-*r/ *-commutative fma-udef
Counts
3 → 131
Calls
3 calls:
0.0ms
(fma (* (sqrt 60.0) (/ (sqrt 60.0) (- z t))) (- x y) (* a 120.0))
20.0ms
(/ (sqrt 60.0) (- z t))
34.0ms
(* (sqrt 60.0) (/ (sqrt 60.0) (- z t)))

series816.0ms

Counts
3 → 9
Calls
3 calls:
488.0ms
(fma (* (sqrt 60.0) (/ (sqrt 60.0) (- z t))) (- x y) (* a 120.0))
140.0ms
(/ (sqrt 60.0) (- z t))
187.0ms
(* (sqrt 60.0) (/ (sqrt 60.0) (- z t)))

simplify3.2s

Counts
140 → 140
Iterations
IterNodes
done5000
34899
21168
1371
0163

prune1.0s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (cbrt (sqrt 60.0)) (- z t))
0.2b
(fma (* (* (* (cbrt (sqrt 60.0)) (sqrt 60.0)) (cbrt (sqrt 60.0))) (/ (cbrt (sqrt 60.0)) (- z t))) (- x y) (* a 120.0))
0.4b
(* (* (* (cbrt (sqrt 60.0)) (sqrt 60.0)) (cbrt (sqrt 60.0))) (/ (cbrt (sqrt 60.0)) (- z t)))
1.0b
(* (* (cbrt (sqrt 60.0)) (sqrt 60.0)) (cbrt (sqrt 60.0)))

rewrite261.0ms

Algorithm
rewrite-expression-head
Rules
98×add-sqr-sqrt *-un-lft-identity
90×times-frac
72×cbrt-prod
60×associate-*r* add-cube-cbrt
36×sqrt-prod
32×add-exp-log
19×pow1 add-cbrt-cube distribute-lft-out-- difference-of-squares
15×prod-exp cbrt-unprod
9×pow-prod-down associate-/l*
5×associate-/r*
4×expm1-log1p-u cbrt-undiv pow1/3 div-exp associate-/r/ log1p-expm1-u add-log-exp
3×pow-prod-up
2×flip3-- associate-*l* *-commutative div-inv flip--
1×clear-num frac-2neg pow-plus associate-*r/ fma-udef
Counts
4 → 191
Calls
4 calls:
23.0ms
(/ (cbrt (sqrt 60.0)) (- z t))
1.0ms
(fma (* (* (* (cbrt (sqrt 60.0)) (sqrt 60.0)) (cbrt (sqrt 60.0))) (/ (cbrt (sqrt 60.0)) (- z t))) (- x y) (* a 120.0))
171.0ms
(* (* (* (cbrt (sqrt 60.0)) (sqrt 60.0)) (cbrt (sqrt 60.0))) (/ (cbrt (sqrt 60.0)) (- z t)))
55.0ms
(* (* (cbrt (sqrt 60.0)) (sqrt 60.0)) (cbrt (sqrt 60.0)))

series1.1s

Counts
4 → 10
Calls
4 calls:
358.0ms
(/ (cbrt (sqrt 60.0)) (- z t))
545.0ms
(fma (* (* (* (cbrt (sqrt 60.0)) (sqrt 60.0)) (cbrt (sqrt 60.0))) (/ (cbrt (sqrt 60.0)) (- z t))) (- x y) (* a 120.0))
151.0ms
(* (* (* (cbrt (sqrt 60.0)) (sqrt 60.0)) (cbrt (sqrt 60.0))) (/ (cbrt (sqrt 60.0)) (- z t)))
0.0ms
(* (* (cbrt (sqrt 60.0)) (sqrt 60.0)) (cbrt (sqrt 60.0)))

simplify2.7s

Counts
201 → 201
Iterations
IterNodes
done5000
22396
1650
0238

prune1.3s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ (* 60.0 (- x y)) (- z t)) (* a 120.0))
0.0b
(* 60.0 (- x y))
0.5b
(/ (* 60.0 (- x y)) (- z t))

rewrite132.0ms

Algorithm
rewrite-expression-head
Rules
31×add-sqr-sqrt
29×*-un-lft-identity
21×add-cube-cbrt
18×prod-diff
11×distribute-rgt-in fma-def distribute-lft-in
10×times-frac add-cbrt-cube add-exp-log
5×pow1 associate-/r* associate-*r* add-log-exp
4×flip3-- associate-*r/ associate-/r/ flip-- distribute-lft-out-- difference-of-squares
3×expm1-log1p-u associate-*l* log1p-expm1-u
2×cbrt-undiv sub-neg div-exp prod-exp cbrt-unprod div-inv associate-/l/
1×+-commutative clear-num sum-log frac-2neg flip3-+ pow-prod-down *-commutative flip-+ associate-/l* unswap-sqr
Counts
3 → 101
Calls
3 calls:
53.0ms
(+ (/ (* 60.0 (- x y)) (- z t)) (* a 120.0))
30.0ms
(* 60.0 (- x y))
42.0ms
(/ (* 60.0 (- x y)) (- z t))

series311.0ms

Counts
3 → 9
Calls
3 calls:
164.0ms
(+ (/ (* 60.0 (- x y)) (- z t)) (* a 120.0))
33.0ms
(* 60.0 (- x y))
114.0ms
(/ (* 60.0 (- x y)) (- z t))

simplify2.7s

Counts
110 → 110
Iterations
IterNodes
done5000
34985
21351
1484
0192

prune564.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes983.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done16
116
013

end0.0ms

sample1.4s

Algorithm
intervals
Results
986.0ms8545×body80valid
41.0ms34×body640valid
12.0ms44×body1280valid
6.0ms19×body2560valid
3.0ms19×body320valid
1.0ms7×body160valid