Details

Time bar (total: 10.7s)

sample19.0ms

Algorithm
intervals
Results
8.0ms259×body80valid

simplify33.0ms

Counts
1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
0.2b
(* (/ 841.0 108.0) x)

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
13×associate-*l*
10×add-cube-cbrt *-un-lft-identity times-frac
7×add-exp-log add-cbrt-cube
4×pow1 add-log-exp
3×associate-*r*
2×associate-*l/ prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv +-commutative flip3-+ div-exp pow-prod-down frac-add sum-log *-commutative flip-+ div-inv
Counts
2 → 44
Calls
2 calls:
16.0ms
(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
16.0ms
(* (/ 841.0 108.0) x)

series63.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
26.0ms
(* (/ 841.0 108.0) x)

simplify1.3s

Counts
50 → 50

prune147.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* (sqrt (/ 841.0 108.0)) (* (sqrt (/ 841.0 108.0)) x)) (/ 4.0 29.0))
0.2b
(* (sqrt (/ 841.0 108.0)) x)
0.3b
(* (sqrt (/ 841.0 108.0)) (* (sqrt (/ 841.0 108.0)) x))

rewrite196.0ms

Algorithm
rewrite-expression-head
Rules
32×associate-*l*
28×sqrt-prod
27×add-sqr-sqrt
20×add-cube-cbrt *-un-lft-identity
19×times-frac
10×pow1 add-exp-log add-cbrt-cube
9×sqrt-div
7×associate-*l/
5×add-log-exp
4×associate-*r* pow-prod-down prod-exp cbrt-unprod
3×frac-add unswap-sqr
2×frac-times associate-*r/ *-commutative div-inv
1×+-commutative flip3-+ sum-log flip-+
Counts
3 → 82
Calls
3 calls:
78.0ms
(+ (* (sqrt (/ 841.0 108.0)) (* (sqrt (/ 841.0 108.0)) x)) (/ 4.0 29.0))
19.0ms
(* (sqrt (/ 841.0 108.0)) x)
92.0ms
(* (sqrt (/ 841.0 108.0)) (* (sqrt (/ 841.0 108.0)) x))

series294.0ms

Counts
3 → 9
Calls
3 calls:
138.0ms
(+ (* (sqrt (/ 841.0 108.0)) (* (sqrt (/ 841.0 108.0)) x)) (/ 4.0 29.0))
64.0ms
(* (sqrt (/ 841.0 108.0)) x)
91.0ms
(* (sqrt (/ 841.0 108.0)) (* (sqrt (/ 841.0 108.0)) x))

simplify2.1s

Counts
91 → 91

prune348.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (sqrt (* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0)))) (* (sqrt (cbrt (/ 841.0 108.0))) (* (sqrt (/ 841.0 108.0)) x)))
0.2b
(* (sqrt (/ 841.0 108.0)) x)
0.4b
(* (sqrt (cbrt (/ 841.0 108.0))) (* (sqrt (/ 841.0 108.0)) x))
1.0b
(* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0)))

rewrite342.0ms

Algorithm
rewrite-expression-head
Rules
86×add-sqr-sqrt
77×cbrt-prod
61×times-frac
55×add-cube-cbrt *-un-lft-identity associate-*l*
33×sqrt-div
32×sqrt-prod
30×cbrt-div
27×pow1
24×associate-*l/
22×add-exp-log
21×associate-*r*
20×add-cbrt-cube
19×frac-times
16×swap-sqr
13×associate-*r/
12×pow-prod-down unswap-sqr
11×prod-exp cbrt-unprod
6×pow1/3 div-inv
4×*-commutative add-log-exp
2×pow-sqr pow-prod-up
1×pow2 pow-plus
Counts
4 → 186
Calls
4 calls:
191.0ms
(* (sqrt (* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0)))) (* (sqrt (cbrt (/ 841.0 108.0))) (* (sqrt (/ 841.0 108.0)) x)))
20.0ms
(* (sqrt (/ 841.0 108.0)) x)
64.0ms
(* (sqrt (cbrt (/ 841.0 108.0))) (* (sqrt (/ 841.0 108.0)) x))
55.0ms
(* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0)))

series449.0ms

Counts
4 → 10
Calls
4 calls:
238.0ms
(* (sqrt (* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0)))) (* (sqrt (cbrt (/ 841.0 108.0))) (* (sqrt (/ 841.0 108.0)) x)))
56.0ms
(* (sqrt (/ 841.0 108.0)) x)
155.0ms
(* (sqrt (cbrt (/ 841.0 108.0))) (* (sqrt (/ 841.0 108.0)) x))
0.0ms
(* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0)))

simplify1.1s

Counts
196 → 196

prune951.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (sqrt (/ 841.0 108.0)) x)
0.2b
(* (sqrt 841.0) (* (sqrt (/ 841.0 108.0)) x))
0.3b
(* (* (sqrt 841.0) (* (sqrt (/ 841.0 108.0)) x)) 29.0)
0.6b
(/ (+ (* (* (sqrt 841.0) (* (sqrt (/ 841.0 108.0)) x)) 29.0) (* (sqrt 108.0) 4.0)) (* (sqrt 108.0) 29.0))

rewrite650.0ms

Algorithm
rewrite-expression-head
Rules
25×add-exp-log add-sqr-sqrt add-cbrt-cube
23×associate-*l*
20×pow1
18×add-cube-cbrt *-un-lft-identity sqrt-prod
13×times-frac
11×prod-exp cbrt-unprod
10×pow-prod-down
7×associate-*r*
4×associate-*l/ add-log-exp
3×sqrt-div *-commutative associate-/l* unswap-sqr
2×cbrt-undiv associate-*r/ div-exp div-inv associate-/l/
1×frac-2neg flip3-+ clear-num associate-/r* flip-+
Counts
4 → 101
Calls
4 calls:
27.0ms
(* (sqrt (/ 841.0 108.0)) x)
40.0ms
(* (sqrt 841.0) (* (sqrt (/ 841.0 108.0)) x))
162.0ms
(* (* (sqrt 841.0) (* (sqrt (/ 841.0 108.0)) x)) 29.0)
414.0ms
(/ (+ (* (* (sqrt 841.0) (* (sqrt (/ 841.0 108.0)) x)) 29.0) (* (sqrt 108.0) 4.0)) (* (sqrt 108.0) 29.0))

series723.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(* (sqrt (/ 841.0 108.0)) x)
119.0ms
(* (sqrt 841.0) (* (sqrt (/ 841.0 108.0)) x))
125.0ms
(* (* (sqrt 841.0) (* (sqrt (/ 841.0 108.0)) x)) 29.0)
428.0ms
(/ (+ (* (* (sqrt 841.0) (* (sqrt (/ 841.0 108.0)) x)) 29.0) (* (sqrt 108.0) 4.0)) (* (sqrt 108.0) 29.0))

simplify854.0ms

Counts
113 → 113

prune279.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes56.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify26.0ms

end0.0ms

sample686.0ms

Algorithm
intervals
Results
524.0ms8015×body80valid
0.0ms2×body1280valid
0.0ms2×body640valid