Details

Time bar (total: 25.3s)

sample133.0ms

Algorithm
intervals
Results
80.0ms84×body1280valid
23.0ms47×body640valid
6.0ms22×body320valid
6.0ms93×body80valid
4.0ms95×body80nan
2.0ms10×body160valid

simplify14.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
14.0ms
(log (+ 1 x))

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 38.8b

localize12.0ms

Local error

Found 1 expressions with local error:

3.2b
(log (+ 1 x))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
4×log-prod *-un-lft-identity
2×add-sqr-sqrt pow1 log-div add-exp-log add-cube-cbrt
1×flip3-+ add-cbrt-cube rem-log-exp log-pow flip-+ insert-posit16 distribute-lft-out add-log-exp
Counts
1 → 16
Calls
1 calls:
Slowest
6.0ms
(log (+ 1 x))

series47.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
47.0ms
(log (+ 1 x))

simplify903.0ms

Counts
10 → 19
Calls
10 calls:
Slowest
374.0ms
(- (+ (/ 1 x) (log -1)) (+ (log (/ -1 x)) (* 1/2 (/ 1 (pow x 2)))))
238.0ms
(- (+ x (* 1/3 (pow x 3))) (* 1/2 (pow x 2)))
199.0ms
(- (/ 1 x) (+ (log (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))
36.0ms
(log (+ (pow 1 3) (pow x 3)))
29.0ms
(log (- (* 1 1) (* x x)))

prune146.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.2b

localize20.0ms

Local error

Found 3 expressions with local error:

0.3b
(* x 1/3)
0.1b
(* x (+ -1/2 (* x 1/3)))
0.0b
(* x (* x (+ -1/2 (* x 1/3))))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt pow1 add-cbrt-cube add-exp-log
9×associate-*l*
8×*-un-lft-identity add-cube-cbrt
7×associate-*r*
6×associate-*r/
5×distribute-rgt-in distribute-lft-in pow-prod-down prod-exp cbrt-unprod
3×*-commutative insert-posit16 add-log-exp
2×flip3-+ flip-+ unswap-sqr
Counts
3 → 67
Calls
3 calls:
Slowest
30.0ms
(* x (* x (+ -1/2 (* x 1/3))))
10.0ms
(* x (+ -1/2 (* x 1/3)))
5.0ms
(* x 1/3)

series228.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
113.0ms
(* x (* x (+ -1/2 (* x 1/3))))
88.0ms
(* x (+ -1/2 (* x 1/3)))
27.0ms
(* x 1/3)

simplify2.8s

Counts
47 → 76
Calls
47 calls:
Slowest
400.0ms
(* (* (* x x) x) (* (* (* x (+ -1/2 (* x 1/3))) (* x (+ -1/2 (* x 1/3)))) (* x (+ -1/2 (* x 1/3)))))
355.0ms
(* (* (* x x) x) (* (* (* x x) x) (* (* (+ -1/2 (* x 1/3)) (+ -1/2 (* x 1/3))) (+ -1/2 (* x 1/3)))))
221.0ms
(+ (* -1/2 -1/2) (- (* (* x 1/3) (* x 1/3)) (* -1/2 (* x 1/3))))
191.0ms
(+ (* -1/2 -1/2) (- (* (* x 1/3) (* x 1/3)) (* -1/2 (* x 1/3))))
191.0ms
(- (* 1/3 (pow x 3)) (* 1/2 (pow x 2)))

prune573.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.2b

localize28.0ms

Local error

Found 4 expressions with local error:

3.7b
(log (exp (* x (+ -1/2 (* x 1/3)))))
0.3b
(* x 1/3)
0.1b
(* x (+ -1/2 (* x 1/3)))
0.0b
(* x (log (exp (* x (+ -1/2 (* x 1/3))))))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
15×log-prod
13×*-un-lft-identity add-cube-cbrt
12×pow1 associate-*r*
10×add-cbrt-cube add-exp-log
9×distribute-rgt-in distribute-lft-in associate-*l*
6×exp-sum log-pow add-log-exp
4×insert-posit16
3×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
2×exp-prod exp-to-pow associate-*r/
1×flip3-+ rem-log-exp flip-+
Counts
4 → 91
Calls
4 calls:
Slowest
21.0ms
(* x (+ -1/2 (* x 1/3)))
18.0ms
(* x (log (exp (* x (+ -1/2 (* x 1/3))))))
10.0ms
(* x 1/3)
7.0ms
(log (exp (* x (+ -1/2 (* x 1/3)))))

series268.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
102.0ms
(* x (log (exp (* x (+ -1/2 (* x 1/3))))))
85.0ms
(* x (+ -1/2 (* x 1/3)))
65.0ms
(log (exp (* x (+ -1/2 (* x 1/3)))))
16.0ms
(* x 1/3)

simplify8.7s

Counts
65 → 103
Calls
65 calls:
Slowest
682.0ms
(log (exp (* x (+ -1/2 (* x 1/3)))))
440.0ms
(* (sqrt x) (sqrt (log (exp (* x (+ -1/2 (* x 1/3)))))))
430.0ms
(* x (log (exp (* (* x 1/3) x))))
421.0ms
(* (sqrt x) (sqrt (log (exp (* x (+ -1/2 (* x 1/3)))))))
388.0ms
(+ (log x) (log (log (exp (* x (+ -1/2 (* x 1/3)))))))

prune897.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.2b

localize40.0ms

Local error

Found 4 expressions with local error:

3.7b
(log (cbrt (exp (* x (+ -1/2 (* x 1/3))))))
3.7b
(log (* (cbrt (exp (* x (+ -1/2 (* x 1/3))))) (cbrt (exp (* x (+ -1/2 (* x 1/3)))))))
0.3b
(* x 1/3)
0.3b
(* x 1/3)

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
17×pow1
14×add-sqr-sqrt
12×add-exp-log
11×log-pow
10×*-un-lft-identity add-cube-cbrt
9×log-prod
8×add-cbrt-cube
7×pow1/3
6×associate-*r* associate-*l*
5×cbrt-prod
4×pow-prod-down insert-posit16 add-log-exp
3×rem-log-exp prod-exp
2×exp-sum pow-sqr *-commutative pow-prod-up cbrt-unprod unswap-sqr
1×pow2 distribute-rgt-in distribute-lft-in pow-plus
Counts
4 → 77
Calls
4 calls:
Slowest
20.0ms
(log (* (cbrt (exp (* x (+ -1/2 (* x 1/3))))) (cbrt (exp (* x (+ -1/2 (* x 1/3)))))))
6.0ms
(* x 1/3)
5.0ms
(* x 1/3)
4.0ms
(log (cbrt (exp (* x (+ -1/2 (* x 1/3))))))

series1.5s

Counts
4 → 12
Calls
4 calls:
Slowest
735.0ms
(log (* (cbrt (exp (* x (+ -1/2 (* x 1/3))))) (cbrt (exp (* x (+ -1/2 (* x 1/3)))))))
695.0ms
(log (cbrt (exp (* x (+ -1/2 (* x 1/3))))))
28.0ms
(* x 1/3)
20.0ms
(* x 1/3)

simplify4.0s

Counts
47 → 89
Calls
47 calls:
Slowest
342.0ms
(log (cbrt (* (cbrt (exp (* x (+ -1/2 (* x 1/3))))) (cbrt (exp (* x (+ -1/2 (* x 1/3))))))))
336.0ms
(* (cbrt (exp (* x (+ -1/2 (* x 1/3))))) (cbrt (exp (* x (+ -1/2 (* x 1/3))))))
335.0ms
(* -1/3 (* x (- 1/2 (* 1/3 x))))
314.0ms
(log (* (cbrt (cbrt (exp (* x (+ -1/2 (* x 1/3)))))) (cbrt (cbrt (exp (* x (+ -1/2 (* x 1/3))))))))
312.0ms
(log (cbrt (exp (* x (+ -1/2 (* x 1/3))))))

prune1.3s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.2b

regimes181.0ms

Accuracy

99.3% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 20.8b

bsearch62.0ms

end0.0ms

sample3.3s

Algorithm
intervals
Results
1.7s2241×body1280valid
807.0ms1702×body640valid
185.0ms843×body320valid
183.0ms2837×body80valid
132.0ms2658×body80nan
51.0ms377×body160valid