Details

Time bar (total: 42.1s)

sample266.0ms

Algorithm
intervals
Results
122.0ms750×body80nan
50.0ms256×body80valid

simplify26.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
25.0ms
(- (log (- (/ 1 x) 1)))

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize24.0ms

Local error

Found 2 expressions with local error:

0.3b
(log (- (/ 1 x) 1))
0.0b
(- (/ 1 x) 1)

rewrite652.0ms

Algorithm
rewrite-expression-head
Rules
33×add-sqr-sqrt
21×*-un-lft-identity
14×log-prod
12×times-frac difference-of-squares
6×difference-of-sqr-1
4×distribute-lft-out-- add-log-exp
3×pow1 add-exp-log add-cube-cbrt
2×log-div flip3-- add-cbrt-cube insert-posit16 div-inv flip--
1×sub-neg diff-log rem-log-exp log-pow
Counts
2 → 50
Calls
2 calls:
Slowest
23.0ms
(- (/ 1 x) 1)
15.0ms
(log (- (/ 1 x) 1))

series83.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
52.0ms
(log (- (/ 1 x) 1))
31.0ms
(- (/ 1 x) 1)

simplify1.3s

Counts
41 → 56
Calls
41 calls:
Slowest
205.0ms
(- (+ x (+ (* 1/2 (pow x 2)) (log x))))
205.0ms
(log (- (pow (/ 1 x) 3) (pow 1 3)))
156.0ms
(- (log -1) (+ (/ 1 x) (* 1/2 (/ 1 (pow x 2)))))
130.0ms
(- (log -1) (+ (/ 1 x) (* 1/2 (/ 1 (pow x 2)))))
118.0ms
(log (- (* (/ 1 x) (/ 1 x)) (* 1 1)))

prune395.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.8b
(cbrt (- (/ 1 x) 1))
0.8b
(cbrt (- (/ 1 x) 1))
0.8b
(cbrt (- (/ 1 x) 1))
0.4b
(* (cbrt (- (/ 1 x) 1)) (cbrt (- (/ 1 x) 1)))

rewrite87.0ms

Algorithm
rewrite-expression-head
Rules
144×add-sqr-sqrt
126×cbrt-prod
104×*-un-lft-identity
50×times-frac
48×difference-of-squares
29×swap-sqr
27×difference-of-sqr-1
22×distribute-lft-out--
18×cbrt-div
17×associate-*r* associate-*l*
15×add-cube-cbrt
11×pow1 div-inv
9×flip3-- pow1/3 flip--
6×add-exp-log
4×frac-times add-cbrt-cube insert-posit16 add-log-exp unswap-sqr
2×pow-prod-down associate-*l/ associate-*r/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 169
Calls
4 calls:
Slowest
60.0ms
(* (cbrt (- (/ 1 x) 1)) (cbrt (- (/ 1 x) 1)))
9.0ms
(cbrt (- (/ 1 x) 1))
6.0ms
(cbrt (- (/ 1 x) 1))
5.0ms
(cbrt (- (/ 1 x) 1))

series264.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
84.0ms
(cbrt (- (/ 1 x) 1))
67.0ms
(* (cbrt (- (/ 1 x) 1)) (cbrt (- (/ 1 x) 1)))
63.0ms
(cbrt (- (/ 1 x) 1))
49.0ms
(cbrt (- (/ 1 x) 1))

simplify9.6s

Counts
184 → 181
Calls
184 calls:
Slowest
571.0ms
(- (pow -1 1/3) (+ (* 1/3 (* (/ 1 x) (pow -1 1/3))) (* 1/9 (* (/ 1 (pow x 2)) (pow -1 1/3)))))
553.0ms
(* (cbrt (- (pow (/ 1 x) 3) (pow 1 3))) (cbrt (- (/ 1 x) 1)))
549.0ms
(- (pow -1 1/3) (+ (* 1/3 (* (/ 1 x) (pow -1 1/3))) (* 1/9 (* (/ 1 (pow x 2)) (pow -1 1/3)))))
540.0ms
(- (pow -1 1/3) (+ (* 1/3 (* (/ 1 x) (pow -1 1/3))) (* 1/9 (* (/ 1 (pow x 2)) (pow -1 1/3)))))
490.0ms
(* (cbrt (- (pow (/ 1 x) 3) (pow 1 3))) (cbrt (- (pow (/ 1 x) 3) (pow 1 3))))

prune2.0s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize33.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (- (* -1/2 (* x x)) x) (log x))
0.0b
(* -1/2 (* x x))

rewrite123.0ms

Algorithm
rewrite-expression-head
Rules
8×pow1
7×add-sqr-sqrt *-un-lft-identity add-cbrt-cube add-exp-log
5×add-log-exp
4×add-cube-cbrt
3×log-prod diff-log associate-*l* pow-prod-down prod-exp cbrt-unprod associate--r+
2×sub-neg associate--l+ insert-posit16 distribute-lft-out--
1×associate--l- flip3-- associate-*r* log-pow *-commutative flip-- difference-of-squares unswap-sqr
Counts
2 → 43
Calls
2 calls:
Slowest
108.0ms
(- (- (* -1/2 (* x x)) x) (log x))
14.0ms
(* -1/2 (* x x))

series67.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
37.0ms
(- (- (* -1/2 (* x x)) x) (log x))
30.0ms
(* -1/2 (* x x))

simplify2.3s

Counts
28 → 49
Calls
28 calls:
Slowest
483.0ms
(/ (/ (exp (* -1/2 (* x x))) (exp x)) x)
400.0ms
(/ (exp (- (* -1/2 (* x x)) x)) x)
249.0ms
(* (* (* -1/2 -1/2) -1/2) (* (* (* x x) x) (* (* x x) x)))
234.0ms
(* (* (* -1/2 -1/2) -1/2) (* (* (* x x) (* x x)) (* x x)))
233.0ms
(- (log (/ 1 x)) (+ (* 1/2 (pow x 2)) x))

prune393.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize55.0ms

Local error

Found 4 expressions with local error:

39.9b
(log (- (/ 1 (* x (* x x))) 1))
29.2b
(log (+ (* (/ 1 x) (/ 1 x)) (+ (* 1 1) (* (/ 1 x) 1))))
0.9b
(- (log (- (/ 1 (* x (* x x))) 1)) (log (+ (* (/ 1 x) (/ 1 x)) (+ (* 1 1) (* (/ 1 x) 1)))))
0.3b
(* (/ 1 x) (/ 1 x))

rewrite201.0ms

Algorithm
rewrite-expression-head
Rules
70×add-sqr-sqrt
56×*-un-lft-identity
48×times-frac
46×add-exp-log
36×add-cube-cbrt
25×pow1
24×log-div
22×log-prod
16×add-cbrt-cube div-exp frac-add prod-exp
15×swap-sqr
13×associate-*r* associate-*l*
10×flip3-+ flip-+ associate--r-
9×unswap-sqr
8×rec-exp 1-exp associate--l+ div-inv pow-flip distribute-lft-out-- inv-pow
6×log-pow
5×frac-times associate-*l/ associate-*r/ un-div-inv pow-prod-up difference-of-squares
4×cbrt-undiv cbrt-unprod insert-posit16 add-log-exp
3×flip3-- pow-prod-down pow-sqr flip-- associate--r+
2×associate--l- difference-of-sqr-1 rem-log-exp
1×pow2 sub-neg pow-plus diff-log *-commutative
Counts
4 → 180
Calls
4 calls:
Slowest
96.0ms
(- (log (- (/ 1 (* x (* x x))) 1)) (log (+ (* (/ 1 x) (/ 1 x)) (+ (* 1 1) (* (/ 1 x) 1)))))
43.0ms
(log (- (/ 1 (* x (* x x))) 1))
41.0ms
(log (+ (* (/ 1 x) (/ 1 x)) (+ (* 1 1) (* (/ 1 x) 1))))
17.0ms
(* (/ 1 x) (/ 1 x))

series373.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
212.0ms
(log (- (/ 1 (* x (* x x))) 1))
87.0ms
(- (log (- (/ 1 (* x (* x x))) 1)) (log (+ (* (/ 1 x) (/ 1 x)) (+ (* 1 1) (* (/ 1 x) 1)))))
54.0ms
(log (+ (* (/ 1 x) (/ 1 x)) (+ (* 1 1) (* (/ 1 x) 1))))
19.0ms
(* (/ 1 x) (/ 1 x))

simplify18.4s

Counts
177 → 192
Calls
177 calls:
Slowest
764.0ms
(* (/ (* (* 1 1) 1) (* (* x x) x)) (/ (* (* 1 1) 1) (* (* x x) x)))
723.0ms
(log (+ (* (* 1 (/ 1 x)) (- (* 1 1) (* (/ 1 x) 1))) (* x (- (* (* 1 1) (* 1 1)) (* (* (/ 1 x) 1) (* (/ 1 x) 1))))))
651.0ms
(* (* (* (/ 1 x) (/ 1 x)) (/ 1 x)) (* (* (/ 1 x) (/ 1 x)) (/ 1 x)))
623.0ms
(log (- (* (/ 1 (* x (* x x))) (/ 1 (* x (* x x)))) (* 1 1)))
595.0ms
(* (* (* (/ 1 x) (/ 1 x)) (/ 1 x)) (/ (* (* 1 1) 1) (* (* x x) x)))

prune2.6s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes96.0ms

Accuracy

0% (0.0b remaining)

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

bsearch3.0ms

end0.0ms

sample2.7s

Algorithm
intervals
Results
1.7s24245×body80nan
688.0ms8000×body80valid