Details

Time bar (total: 24.8s)

sample142.0ms

Algorithm
intervals
Results
62.0ms830×body80nan
20.0ms256×body80valid

simplify3.8s

Counts
1 → 1
Iterations
IterNodes
done5000
42302
3500
2122
138
018

prune30.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 3.0 (/ x (* y 27.0)))
1.0b
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
2.6b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
4.9b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite192.0ms

Algorithm
rewrite-expression-head
Rules
92×add-cbrt-cube add-exp-log
39×prod-exp cbrt-unprod
29×add-sqr-sqrt
27×cbrt-undiv div-exp
21×associate-*l*
18×*-un-lft-identity add-cube-cbrt
16×associate-*r*
15×times-frac
10×pow1
5×unswap-sqr
4×expm1-log1p-u sqrt-prod log1p-expm1-u div-inv add-log-exp
3×pow-prod-down *-commutative
2×associate-*l/ associate-*r/
1×clear-num associate-/r* frac-2neg associate-/l* associate-/l/
Counts
4 → 138
Calls
4 calls:
35.0ms
(* 3.0 (/ x (* y 27.0)))
23.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
95.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
27.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series236.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(* 3.0 (/ x (* y 27.0)))
21.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
142.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
46.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify2.4s

Counts
150 → 150
Iterations
IterNodes
done5002
24737
1759
0260

prune832.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

1.0b
(* (/ 1.0 (cbrt 3.0)) (acos (/ (sqrt t) (/ (* z 2.0) (/ (* 3.0 x) (* y 27.0))))))
1.0b
(/ 1.0 (cbrt 3.0))
3.1b
(/ (sqrt t) (/ (* z 2.0) (/ (* 3.0 x) (* y 27.0))))
4.7b
(/ (* z 2.0) (/ (* 3.0 x) (* y 27.0)))

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
147×times-frac
105×add-exp-log
103×add-cbrt-cube
79×add-sqr-sqrt
71×*-un-lft-identity add-cube-cbrt
49×cbrt-undiv div-exp
33×sqrt-prod
28×prod-exp cbrt-unprod
22×cbrt-prod associate-*l*
21×associate-/r*
20×div-inv
10×associate-/l*
9×associate-/r/
6×pow1
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×clear-num frac-2neg associate-*r* unswap-sqr
1×pow-prod-down associate-*l/ *-commutative
Counts
4 → 240
Calls
4 calls:
19.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (/ (sqrt t) (/ (* z 2.0) (/ (* 3.0 x) (* y 27.0))))))
6.0ms
(/ 1.0 (cbrt 3.0))
19.0ms
(/ (sqrt t) (/ (* z 2.0) (/ (* 3.0 x) (* y 27.0))))
15.0ms
(/ (* z 2.0) (/ (* 3.0 x) (* y 27.0)))

series276.0ms

Counts
4 → 10
Calls
4 calls:
108.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (/ (sqrt t) (/ (* z 2.0) (/ (* 3.0 x) (* y 27.0))))))
0.0ms
(/ 1.0 (cbrt 3.0))
135.0ms
(/ (sqrt t) (/ (* z 2.0) (/ (* 3.0 x) (* y 27.0))))
33.0ms
(/ (* z 2.0) (/ (* 3.0 x) (* y 27.0)))

simplify653.0ms

Counts
250 → 250
Iterations
IterNodes
done5001
11161
0411

prune1.8s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize77.0ms

Local error

Found 4 expressions with local error:

1.0b
(* (/ 1.0 (cbrt 3.0)) (acos (/ (/ (sqrt t) (/ (* z 2.0) (* 3.0 x))) (* 27.0 y))))
1.0b
(/ 1.0 (cbrt 3.0))
2.0b
(/ (sqrt t) (/ (* z 2.0) (* 3.0 x)))
4.2b
(/ (/ (sqrt t) (/ (* z 2.0) (* 3.0 x))) (* 27.0 y))

rewrite129.0ms

Algorithm
rewrite-expression-head
Rules
182×times-frac
94×add-sqr-sqrt
86×*-un-lft-identity add-cube-cbrt
85×add-exp-log
83×add-cbrt-cube
48×sqrt-prod
44×associate-/l*
41×cbrt-undiv div-exp
25×div-inv
22×cbrt-prod associate-*l*
20×prod-exp cbrt-unprod
12×associate-/r*
6×pow1
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×clear-num frac-2neg associate-*r* associate-/r/ unswap-sqr
1×pow-prod-down associate-*l/ *-commutative associate-/l/
Counts
4 → 257
Calls
4 calls:
35.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (/ (/ (sqrt t) (/ (* z 2.0) (* 3.0 x))) (* 27.0 y))))
9.0ms
(/ 1.0 (cbrt 3.0))
22.0ms
(/ (sqrt t) (/ (* z 2.0) (* 3.0 x)))
50.0ms
(/ (/ (sqrt t) (/ (* z 2.0) (* 3.0 x))) (* 27.0 y))

series323.0ms

Counts
4 → 10
Calls
4 calls:
110.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (/ (/ (sqrt t) (/ (* z 2.0) (* 3.0 x))) (* 27.0 y))))
0.0ms
(/ 1.0 (cbrt 3.0))
87.0ms
(/ (sqrt t) (/ (* z 2.0) (* 3.0 x)))
126.0ms
(/ (/ (sqrt t) (/ (* z 2.0) (* 3.0 x))) (* 27.0 y))

simplify688.0ms

Counts
267 → 267
Iterations
IterNodes
done5000
11185
0438

prune2.0s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize46.0ms

Local error

Found 4 expressions with local error:

2.0b
(/ (sqrt t) (/ (* z 2.0) (* 3.0 x)))
2.0b
(/ (sqrt t) (/ (* z 2.0) (* 3.0 x)))
4.2b
(/ (/ (sqrt t) (/ (* z 2.0) (* 3.0 x))) (* 27.0 y))
4.2b
(/ (/ (sqrt t) (/ (* z 2.0) (* 3.0 x))) (* 27.0 y))

rewrite144.0ms

Algorithm
rewrite-expression-head
Rules
288×times-frac
152×add-cbrt-cube add-exp-log
110×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
96×sqrt-prod
82×associate-/l*
78×cbrt-undiv div-exp
46×div-inv
36×prod-exp cbrt-unprod
12×associate-/r*
6×associate-/r/
4×expm1-log1p-u pow1 clear-num frac-2neg log1p-expm1-u add-log-exp
2×associate-/l/
Counts
4 → 344
Calls
4 calls:
18.0ms
(/ (sqrt t) (/ (* z 2.0) (* 3.0 x)))
13.0ms
(/ (sqrt t) (/ (* z 2.0) (* 3.0 x)))
43.0ms
(/ (/ (sqrt t) (/ (* z 2.0) (* 3.0 x))) (* 27.0 y))
48.0ms
(/ (/ (sqrt t) (/ (* z 2.0) (* 3.0 x))) (* 27.0 y))

series333.0ms

Counts
4 → 12
Calls
4 calls:
88.0ms
(/ (sqrt t) (/ (* z 2.0) (* 3.0 x)))
65.0ms
(/ (sqrt t) (/ (* z 2.0) (* 3.0 x)))
90.0ms
(/ (/ (sqrt t) (/ (* z 2.0) (* 3.0 x))) (* 27.0 y))
89.0ms
(/ (/ (sqrt t) (/ (* z 2.0) (* 3.0 x))) (* 27.0 y))

simplify511.0ms

Counts
356 → 356
Iterations
IterNodes
done5001
1938
0322

prune3.1s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes540.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
done32
132
025

end0.0ms

sample6.3s

Algorithm
intervals
Results
3.3s23982×body80nan
1.2s8000×body80valid