Details

Time bar (total: 26.7s)

sample220.0ms

Algorithm
intervals
Results
106.0ms120×body1280valid
47.0ms273×body80nan
32.0ms70×body640valid
13.0ms37×body320valid
3.0ms16×body160valid
1.0ms13×body80valid

simplify117.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
116.0ms
(* (/ 1 2) (log (/ (+ 1 x) (- 1 x))))

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.5b

localize25.0ms

Local error

Found 2 expressions with local error:

4.8b
(log (/ (+ x 1) (- 1 x)))
0.0b
(/ (+ x 1) (- 1 x))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
78×*-un-lft-identity
52×add-sqr-sqrt
48×times-frac
30×log-prod
25×add-cube-cbrt
18×difference-of-squares
13×distribute-lft-out
9×distribute-lft-out--
7×add-exp-log
6×associate-/r*
4×add-cbrt-cube associate-/r/ associate-/l*
3×pow1
2×flip3-- div-exp rem-log-exp insert-posit16 div-inv flip-- add-log-exp associate-/l/
1×cbrt-undiv log-div clear-num frac-2neg flip3-+ log-pow flip-+
Counts
2 → 93
Calls
2 calls:
Slowest
17.0ms
(/ (+ x 1) (- 1 x))
12.0ms
(log (/ (+ x 1) (- 1 x)))

series139.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
116.0ms
(log (/ (+ x 1) (- 1 x)))
24.0ms
(/ (+ x 1) (- 1 x))

simplify4.2s

Counts
101 → 99
Calls
101 calls:
Slowest
456.0ms
(+ (* 2 (/ 1 x)) (+ (* 2/3 (/ 1 (pow x 3))) (log -1)))
399.0ms
(/ (* (* (+ x 1) (+ x 1)) (+ x 1)) (* (* (- 1 x) (- 1 x)) (- 1 x)))
335.0ms
(+ (* 2 (/ 1 x)) (+ (* 2/3 (/ 1 (pow x 3))) (log -1)))
319.0ms
(+ (* 2 x) (+ (* 2/3 (pow x 3)) (* 2/5 (pow x 5))))
312.0ms
(log (/ (+ x 1) (- (pow 1 3) (pow x 3))))

prune873.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize49.0ms

Local error

Found 4 expressions with local error:

0.3b
(* 2/3 x)
0.1b
(* (pow x 5) 2/5)
0.1b
(* x (* 2/3 x))
0.0b
(* x (+ (* x (* 2/3 x)) 2))

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
18×add-exp-log
16×associate-*l*
15×add-cbrt-cube
13×pow1
12×*-un-lft-identity add-cube-cbrt
10×associate-*r*
8×prod-exp
6×cbrt-unprod
5×pow-prod-down unswap-sqr
4×unpow-prod-down *-commutative insert-posit16 add-log-exp
2×associate-*r/ sqr-pow
1×distribute-rgt-in pow-to-exp distribute-lft-in flip3-+ pow-exp flip-+
Counts
4 → 87
Calls
4 calls:
Slowest
46.0ms
(* x (+ (* x (* 2/3 x)) 2))
12.0ms
(* x (* 2/3 x))
11.0ms
(* (pow x 5) 2/5)
10.0ms
(* 2/3 x)

series270.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
128.0ms
(* x (+ (* x (* 2/3 x)) 2))
95.0ms
(* (pow x 5) 2/5)
28.0ms
(* x (* 2/3 x))
19.0ms
(* 2/3 x)

simplify3.2s

Counts
61 → 99
Calls
61 calls:
Slowest
400.0ms
(+ (* (* x (* 2/3 x)) (* x (* 2/3 x))) (- (* 2 2) (* (* x (* 2/3 x)) 2)))
329.0ms
(* (* (* x x) x) (* (* (+ (* x (* 2/3 x)) 2) (+ (* x (* 2/3 x)) 2)) (+ (* x (* 2/3 x)) 2)))
232.0ms
(* (* (* x x) x) (* (* (* 2/3 x) (* 2/3 x)) (* 2/3 x)))
180.0ms
(* (* (* x x) x) (* (* (* 2/3 2/3) 2/3) (* (* x x) x)))
171.0ms
(* (* (* (pow x 5) (pow x 5)) (pow x 5)) (* (* 2/5 2/5) 2/5))

prune1.0s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.3b
(* 2/3 x)
0.1b
(* (* x (* 2/3 x)) x)
0.1b
(* (pow x 5) 2/5)
0.1b
(* x (* 2/3 x))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
25×add-exp-log
22×add-cbrt-cube
20×pow1
18×add-sqr-sqrt
14×associate-*l*
13×prod-exp
11×*-un-lft-identity add-cube-cbrt cbrt-unprod
10×associate-*r* pow-prod-down
4×unpow-prod-down *-commutative insert-posit16 add-log-exp unswap-sqr
2×sqr-pow
1×pow-to-exp pow-exp
Counts
4 → 86
Calls
4 calls:
Slowest
32.0ms
(* (* x (* 2/3 x)) x)
14.0ms
(* x (* 2/3 x))
8.0ms
(* (pow x 5) 2/5)
5.0ms
(* 2/3 x)

series196.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
92.0ms
(* (pow x 5) 2/5)
47.0ms
(* x (* 2/3 x))
42.0ms
(* (* x (* 2/3 x)) x)
16.0ms
(* 2/3 x)

simplify3.7s

Counts
58 → 98
Calls
58 calls:
Slowest
562.0ms
(* (* (* (* x x) x) (* (* (* 2/3 x) (* 2/3 x)) (* 2/3 x))) (* (* x x) x))
528.0ms
(* (* (* (* x x) x) (* (* (* 2/3 2/3) 2/3) (* (* x x) x))) (* (* x x) x))
482.0ms
(* (* (* (* x (* 2/3 x)) (* x (* 2/3 x))) (* x (* 2/3 x))) (* (* x x) x))
292.0ms
(* (* (* x x) x) (* (* (* 2/3 x) (* 2/3 x)) (* 2/3 x)))
239.0ms
(* (* (* x x) x) (* (* (* 2/3 2/3) 2/3) (* (* x x) x)))

prune945.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

1.7b
(log (exp (* x (* 2/3 x))))
0.3b
(* 2/3 x)
0.1b
(* (pow x 5) 2/5)
0.1b
(* x (* 2/3 x))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
16×add-exp-log
13×add-cbrt-cube associate-*l*
12×pow1
11×*-un-lft-identity add-cube-cbrt
7×associate-*r* prod-exp
5×cbrt-unprod add-log-exp
4×unpow-prod-down pow-prod-down insert-posit16 unswap-sqr
3×log-prod log-pow *-commutative
2×sqr-pow
1×pow-to-exp exp-prod exp-to-pow rem-log-exp pow-exp
Counts
4 → 79
Calls
4 calls:
Slowest
26.0ms
(* x (* 2/3 x))
18.0ms
(* (pow x 5) 2/5)
10.0ms
(* 2/3 x)
8.0ms
(log (exp (* x (* 2/3 x))))

series225.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
91.0ms
(* (pow x 5) 2/5)
54.0ms
(log (exp (* x (* 2/3 x))))
53.0ms
(* x (* 2/3 x))
27.0ms
(* 2/3 x)

simplify2.3s

Counts
52 → 91
Calls
52 calls:
Slowest
257.0ms
(* (* (* x x) x) (* (* (* 2/3 2/3) 2/3) (* (* x x) x)))
222.0ms
(log (sqrt (exp (* x (* 2/3 x)))))
221.0ms
(* (* (* x x) x) (* (* (* 2/3 x) (* 2/3 x)) (* 2/3 x)))
214.0ms
(log (* (cbrt (exp (* x (* 2/3 x)))) (cbrt (exp (* x (* 2/3 x))))))
174.0ms
(* (* (* 2/3 2/3) 2/3) (* (* x x) x))

prune1.1s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes41.0ms

Accuracy

0% (0.2b remaining)

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

bsearch7.0ms

end0.0ms

sample7.8s

Algorithm
intervals
Results
3.4s3394×body1280valid
2.0s2530×body640valid
1.3s7988×body80nan
512.0ms1249×body320valid
204.0ms595×body160valid
26.0ms232×body80valid