Details

Time bar (total: 23.5s)

sample153.0ms

Algorithm
intervals
Results
55.0ms786×body80nan
20.0ms256×body80valid

simplify5.7s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01819
13819
212219
348519
4202519
done500019

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.2b

localize22.0ms

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))))
3.5b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
5.7b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite181.0ms

Algorithm
rewrite-expression-head
Rules
92×add-exp-log add-cbrt-cube
39×prod-exp cbrt-unprod
29×add-sqr-sqrt
27×cbrt-undiv div-exp
21×associate-*l*
18×add-cube-cbrt *-un-lft-identity
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-*r/ associate-*l/
1×frac-2neg clear-num associate-/r* associate-/l/ associate-/l*
Counts
4 → 138
Calls
4 calls:
22.0ms
(* 3.0 (/ x (* y 27.0)))
15.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
106.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
32.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series183.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(* 3.0 (/ x (* y 27.0)))
21.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
106.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
35.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify1.6s

Counts
150 → 150
Iterations

Useful iterations: 2 (546.0ms)

IterNodesCost
02602872
17042749
230682131
done50012131

prune458.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

1.0b
(* (/ (sqrt 1.0) (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
1.0b
(/ (sqrt 1.0) (cbrt 3.0))
3.5b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
5.7b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite201.0ms

Algorithm
rewrite-expression-head
Rules
85×add-exp-log
83×add-cbrt-cube
79×add-sqr-sqrt
78×times-frac
61×add-cube-cbrt *-un-lft-identity
45×associate-*l* sqrt-prod
41×cbrt-prod
35×prod-exp cbrt-unprod
26×cbrt-undiv div-exp
9×associate-*r*
8×pow1
7×associate-/r* associate-/l* unswap-sqr
4×expm1-log1p-u log1p-expm1-u div-inv add-log-exp
2×frac-2neg pow-prod-down associate-*l/ clear-num *-commutative
1×associate-*r/ associate-/l/
Counts
4 → 201
Calls
4 calls:
37.0ms
(* (/ (sqrt 1.0) (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
8.0ms
(/ (sqrt 1.0) (cbrt 3.0))
104.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
37.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series340.0ms

Counts
4 → 10
Calls
4 calls:
146.0ms
(* (/ (sqrt 1.0) (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
0.0ms
(/ (sqrt 1.0) (cbrt 3.0))
144.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
51.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify1.9s

Counts
211 → 211
Iterations

Useful iterations: 2 (598.0ms)

IterNodesCost
03034123
17583942
231863370
done50003370

prune1.0s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

1.0b
(* (/ (sqrt 1.0) (cbrt 3.0)) (acos (* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))))
1.0b
(/ (sqrt 1.0) (cbrt 3.0))
3.5b
(* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))
5.1b
(/ (* 3.0 x) (* (* z 2.0) (* y 27.0)))

rewrite304.0ms

Algorithm
rewrite-expression-head
Rules
105×add-exp-log
103×add-cbrt-cube
79×add-sqr-sqrt
78×times-frac
61×add-cube-cbrt *-un-lft-identity
55×prod-exp cbrt-unprod
45×associate-*l* sqrt-prod
41×cbrt-prod
22×cbrt-undiv div-exp
9×associate-*r*
8×pow1
7×associate-/r* associate-/l* unswap-sqr
4×expm1-log1p-u log1p-expm1-u div-inv add-log-exp
2×frac-2neg pow-prod-down associate-*l/ clear-num *-commutative
Counts
4 → 208
Calls
4 calls:
32.0ms
(* (/ (sqrt 1.0) (cbrt 3.0)) (acos (* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))))
15.0ms
(/ (sqrt 1.0) (cbrt 3.0))
200.0ms
(* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))
40.0ms
(/ (* 3.0 x) (* (* z 2.0) (* y 27.0)))

series343.0ms

Counts
4 → 10
Calls
4 calls:
165.0ms
(* (/ (sqrt 1.0) (cbrt 3.0)) (acos (* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))))
0.0ms
(/ (sqrt 1.0) (cbrt 3.0))
141.0ms
(* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))
36.0ms
(/ (* 3.0 x) (* (* z 2.0) (* y 27.0)))

simplify2.6s

Counts
218 → 218
Iterations

Useful iterations: 2 (802.0ms)

IterNodesCost
03104330
17764125
236533461
done50003461

prune1.0s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

1.0b
(* (/ 1.0 3.0) (acos (cbrt (pow (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t)) 3))))
3.5b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
5.7b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))
24.1b
(cbrt (pow (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t)) 3))

rewrite162.0ms

Algorithm
rewrite-expression-head
Rules
83×add-exp-log add-cbrt-cube
35×prod-exp cbrt-unprod
25×cbrt-undiv add-sqr-sqrt div-exp
18×associate-*l*
16×add-cube-cbrt *-un-lft-identity
12×times-frac
9×associate-*r*
8×pow1 cbrt-prod
4×expm1-log1p-u sqrt-prod log1p-expm1-u add-log-exp unswap-sqr
3×associate-*l/ div-inv
2×pow-prod-down *-commutative
1×cube-div cube-mult unpow-prod-down cbrt-div frac-2neg pow1/3 unpow3 cube-prod associate-*r/ clear-num associate-/r* rem-cbrt-cube associate-/l/ associate-/l* sqr-pow
Counts
4 → 129
Calls
4 calls:
29.0ms
(* (/ 1.0 3.0) (acos (cbrt (pow (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t)) 3))))
100.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
23.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))
3.0ms
(cbrt (pow (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t)) 3))

series343.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(* (/ 1.0 3.0) (acos (cbrt (pow (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t)) 3))))
120.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
53.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))
139.0ms
(cbrt (pow (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t)) 3))

simplify2.1s

Counts
141 → 141
Iterations

Useful iterations: 2 (687.0ms)

IterNodesCost
02603259
17002788
231662338
done50012338

prune562.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes362.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify9.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02330
13030
done3030

end0.0ms

sample3.8s

Algorithm
intervals
Results
1.5s23531×body80nan
580.0ms8000×body80valid