Details

Time bar (total: 13.2s)

sample110.0ms

Algorithm
intervals
Results
40.0ms77×body1280valid
32.0ms87×body10240exit
17.0ms57×body640valid
6.0ms93×body80valid
4.0ms19×body320valid
1.0ms10×body160valid

simplify21.0ms

Counts
1 → 1

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 39.6b

localize15.0ms

Local error

Found 2 expressions with local error:

2.7b
(- (exp x) 1)
0.5b
(/ (exp x) (- (exp x) 1))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
34×add-sqr-sqrt
29×*-un-lft-identity
21×times-frac
14×add-cube-cbrt
10×difference-of-squares
7×associate-/r*
5×difference-of-sqr-1 distribute-lft-out--
4×add-cbrt-cube add-log-exp
3×add-exp-log associate-/l*
2×pow1 flip3-- associate-/r/ insert-posit16 flip--
1×cbrt-undiv clear-num sub-neg frac-2neg diff-log div-exp div-inv
Counts
2 → 63
Calls
2 calls:
Slowest
19.0ms
(/ (exp x) (- (exp x) 1))
15.0ms
(- (exp x) 1)

series59.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
42.0ms
(/ (exp x) (- (exp x) 1))
17.0ms
(- (exp x) 1)

simplify1.2s

Counts
69 → 69

prune455.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.5b

localize11.0ms

Local error

Found 2 expressions with local error:

0.4b
(* 1/12 x)
0.0b
(+ (* 1/12 x) (+ (/ 1 x) 1/2))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
7×add-log-exp
6×add-sqr-sqrt
4×pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt
3×sum-log associate-*r* associate-*l*
2×insert-posit16
1×+-commutative associate-+r+ flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ unswap-sqr
Counts
2 → 33
Calls
2 calls:
Slowest
24.0ms
(+ (* 1/12 x) (+ (/ 1 x) 1/2))
5.0ms
(* 1/12 x)

series45.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
26.0ms
(+ (* 1/12 x) (+ (/ 1 x) 1/2))
19.0ms
(* 1/12 x)

simplify598.0ms

Counts
39 → 39

prune281.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.5b

localize37.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (* 1/12 x))
0.6b
(cbrt (* 1/12 x))
0.6b
(cbrt (* 1/12 x))
0.5b
(* (cbrt (* 1/12 x)) (cbrt (* 1/12 x)))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1
10×add-sqr-sqrt
9×pow1/3
8×*-un-lft-identity add-cube-cbrt
7×cbrt-prod
6×add-exp-log
4×add-cbrt-cube swap-sqr associate-*r* associate-*l* insert-posit16 add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 62
Calls
4 calls:
Slowest
19.0ms
(* (cbrt (* 1/12 x)) (cbrt (* 1/12 x)))
5.0ms
(cbrt (* 1/12 x))
4.0ms
(cbrt (* 1/12 x))
4.0ms
(cbrt (* 1/12 x))

series1.1s

Counts
4 → 12
Calls
4 calls:
Slowest
305.0ms
(* (cbrt (* 1/12 x)) (cbrt (* 1/12 x)))
284.0ms
(cbrt (* 1/12 x))
262.0ms
(cbrt (* 1/12 x))
260.0ms
(cbrt (* 1/12 x))

simplify604.0ms

Counts
74 → 74

prune572.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.5b

localize44.0ms

Local error

Found 4 expressions with local error:

58.8b
(posit16->real (real->posit16 (* (cbrt (* 1/12 x)) (cbrt (* 1/12 x)))))
0.6b
(cbrt (* 1/12 x))
0.6b
(cbrt (* 1/12 x))
0.6b
(cbrt (* 1/12 x))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
4×add-sqr-sqrt pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt insert-posit16 add-log-exp
3×cbrt-prod pow1/3
1×remove-posit16
Counts
4 → 39
Calls
4 calls:
Slowest
3.0ms
(cbrt (* 1/12 x))
3.0ms
(cbrt (* 1/12 x))
3.0ms
(cbrt (* 1/12 x))
0.0ms
(posit16->real (real->posit16 (* (cbrt (* 1/12 x)) (cbrt (* 1/12 x)))))

series1.2s

Counts
4 → 12
Calls
4 calls:
Slowest
328.0ms
(posit16->real (real->posit16 (* (cbrt (* 1/12 x)) (cbrt (* 1/12 x)))))
317.0ms
(cbrt (* 1/12 x))
288.0ms
(cbrt (* 1/12 x))
284.0ms
(cbrt (* 1/12 x))

simplify1.1s

Counts
51 → 51

prune1.4s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.5b

regimes346.0ms

Accuracy

97.9% (0.4b remaining)

Error of 0.8b against oracle of 0.3b and baseline of 21.2b

bsearch9.0ms

end0.0ms

sample3.9s

Algorithm
intervals
Results
1.6s2469×body10240exit
1.1s2282×body1280valid
582.0ms1661×body640valid
212.0ms2842×body80valid
173.0ms834×body320valid
52.0ms381×body160valid