Details

Time bar (total: 12.1s)

sample44.0ms

Algorithm
intervals
Results
14.0ms256×body80valid
12.0ms255×body80nan

simplify78.0ms

Counts
1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(* 6.0 (- x 1.0))
0.0b
(+ (+ x 1.0) (* 4.0 (sqrt x)))
0.1b
(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

rewrite112.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
10×add-exp-log add-cbrt-cube
9×*-un-lft-identity
8×add-log-exp
7×add-cube-cbrt
5×pow1 associate-*r*
4×associate-*r/
3×times-frac associate-*l* associate-/r* sum-log
2×cbrt-undiv distribute-rgt-in sub-neg flip3-- distribute-lft-in flip3-+ div-exp prod-exp associate-/r/ flip-- cbrt-unprod flip-+ associate-/l/
1×+-commutative associate-+l+ frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 64
Calls
3 calls:
24.0ms
(* 6.0 (- x 1.0))
29.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
58.0ms
(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

series171.0ms

Counts
3 → 9
Calls
3 calls:
48.0ms
(* 6.0 (- x 1.0))
39.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
83.0ms
(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

simplify549.0ms

Counts
73 → 73

prune169.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (+ x 1.0) (* 4.0 (sqrt x)))
0.0b
(/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0))
0.0b
(/ 6.0 (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0)))

rewrite173.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
103×add-sqr-sqrt *-un-lft-identity
71×add-cube-cbrt
26×associate-/r*
16×distribute-lft-out-- difference-of-squares
11×associate-/r/
10×add-exp-log add-cbrt-cube
8×add-log-exp
6×div-inv associate-/l*
5×flip3-- flip--
4×cbrt-undiv div-exp
3×pow1 sum-log
2×frac-2neg flip3-+ clear-num flip-+ associate-/l/
1×+-commutative associate-+l+
Counts
3 → 154
Calls
3 calls:
32.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
84.0ms
(/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0))
49.0ms
(/ 6.0 (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0)))

series206.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
78.0ms
(/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0))
89.0ms
(/ 6.0 (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0)))

simplify871.0ms

Counts
163 → 163

prune477.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x)))) (+ (sqrt x) (sqrt 1.0)))
0.0b
(/ 6.0 (* (/ (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x)))) (+ (sqrt x) (sqrt 1.0))) (/ (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x)))) (- (sqrt x) (sqrt 1.0)))))
0.0b
(/ (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x)))) (- (sqrt x) (sqrt 1.0)))
0.0b
(* (/ (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x)))) (+ (sqrt x) (sqrt 1.0))) (/ (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x)))) (- (sqrt x) (sqrt 1.0))))

rewrite466.0ms

Algorithm
rewrite-expression-head
Rules
228×add-sqr-sqrt
200×sqrt-prod
198×*-un-lft-identity
183×times-frac
94×add-cube-cbrt
60×associate-*r*
52×difference-of-squares
38×add-exp-log add-cbrt-cube
36×associate-*l*
26×distribute-lft-out distribute-lft-out--
15×cbrt-undiv div-exp associate-/r* associate-/l*
11×associate-/r/
9×unswap-sqr
8×prod-exp cbrt-unprod
6×pow1
5×div-inv
4×flip3-+ sqrt-div flip-+ associate-/l/ add-log-exp
3×frac-2neg clear-num
2×frac-times flip3-- associate-*r/ associate-*l/ flip--
1×pow-prod-down *-commutative
Counts
4 → 297
Calls
4 calls:
66.0ms
(/ (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x)))) (+ (sqrt x) (sqrt 1.0)))
65.0ms
(/ 6.0 (* (/ (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x)))) (+ (sqrt x) (sqrt 1.0))) (/ (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x)))) (- (sqrt x) (sqrt 1.0)))))
67.0ms
(/ (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x)))) (- (sqrt x) (sqrt 1.0)))
250.0ms
(* (/ (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x)))) (+ (sqrt x) (sqrt 1.0))) (/ (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x)))) (- (sqrt x) (sqrt 1.0))))

series3.2s

Counts
4 → 12
Calls
4 calls:
588.0ms
(/ (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x)))) (+ (sqrt x) (sqrt 1.0)))
484.0ms
(/ 6.0 (* (/ (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x)))) (+ (sqrt x) (sqrt 1.0))) (/ (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x)))) (- (sqrt x) (sqrt 1.0)))))
734.0ms
(/ (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x)))) (- (sqrt x) (sqrt 1.0)))
1.4s
(* (/ (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x)))) (+ (sqrt x) (sqrt 1.0))) (/ (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x)))) (- (sqrt x) (sqrt 1.0))))

simplify758.0ms

Counts
309 → 309

prune1.0s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (+ x 1.0) (* 4.0 (sqrt x)))
0.1b
(* (* (/ (- x 1.0) (+ (* (- (* 4.0 4.0)) x) (* (+ x 1.0) (+ x 1.0)))) 6.0) (- (+ x 1.0) (* 4.0 (sqrt x))))
0.2b
(* (/ (- x 1.0) (+ (* (- (* 4.0 4.0)) x) (* (+ x 1.0) (+ x 1.0)))) 6.0)
15.0b
(/ (- x 1.0) (+ (* (- (* 4.0 4.0)) x) (* (+ x 1.0) (+ x 1.0))))

rewrite356.0ms

Algorithm
rewrite-expression-head
Rules
44×add-sqr-sqrt
39×*-un-lft-identity
31×times-frac
25×add-cube-cbrt
22×associate-*l*
20×add-exp-log add-cbrt-cube
11×pow1
9×add-log-exp
7×prod-exp cbrt-unprod distribute-lft-out-- difference-of-squares
6×associate-*r*
5×associate-*l/ associate-/l*
4×flip3-- pow-prod-down associate-/r/ flip--
3×cbrt-undiv distribute-rgt-in sub-neg distribute-lft-in div-exp associate--l+ associate-/r*
2×frac-times flip3-+ diff-log associate-*r/ *-commutative flip-+ div-inv associate-/l/ unswap-sqr
1×frac-2neg div-sub clear-num sum-log
Counts
4 → 125
Calls
4 calls:
48.0ms
(- (+ x 1.0) (* 4.0 (sqrt x)))
177.0ms
(* (* (/ (- x 1.0) (+ (* (- (* 4.0 4.0)) x) (* (+ x 1.0) (+ x 1.0)))) 6.0) (- (+ x 1.0) (* 4.0 (sqrt x))))
88.0ms
(* (/ (- x 1.0) (+ (* (- (* 4.0 4.0)) x) (* (+ x 1.0) (+ x 1.0)))) 6.0)
38.0ms
(/ (- x 1.0) (+ (* (- (* 4.0 4.0)) x) (* (+ x 1.0) (+ x 1.0))))

series374.0ms

Counts
4 → 12
Calls
4 calls:
57.0ms
(- (+ x 1.0) (* 4.0 (sqrt x)))
180.0ms
(* (* (/ (- x 1.0) (+ (* (- (* 4.0 4.0)) x) (* (+ x 1.0) (+ x 1.0)))) 6.0) (- (+ x 1.0) (* 4.0 (sqrt x))))
73.0ms
(* (/ (- x 1.0) (+ (* (- (* 4.0 4.0)) x) (* (+ x 1.0) (+ x 1.0)))) 6.0)
64.0ms
(/ (- x 1.0) (+ (* (- (* 4.0 4.0)) x) (* (+ x 1.0) (+ x 1.0))))

simplify1.3s

Counts
137 → 137

prune403.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes36.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify69.0ms

end0.0ms

sample1.2s

Algorithm
intervals
Results
467.0ms8000×body80valid
401.0ms7985×body80nan