Details

Time bar (total: 23.1s)

sample153.0ms

Algorithm
intervals
Results
70.0ms97×body1280valid
38.0ms94×body640valid
13.0ms240×body80nan
10.0ms40×body320valid
3.0ms16×body160valid
1.0ms9×body80valid

simplify101.0ms

Counts
1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.3b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ 1.0 x) (- 1.0 x))
5.4b
(log (/ (+ 1.0 x) (- 1.0 x)))

rewrite85.0ms

Algorithm
rewrite-expression-head
Rules
63×*-un-lft-identity
41×add-sqr-sqrt
40×times-frac
26×log-prod
23×add-cube-cbrt
11×distribute-lft-out
9×distribute-lft-out-- difference-of-squares
7×add-exp-log
5×associate-/r*
4×associate-/r/ add-cbrt-cube associate-/l*
3×pow1
2×flip3-- div-exp rem-log-exp flip-- div-inv associate-/l/ add-log-exp
1×cbrt-undiv log-div frac-2neg flip3-+ clear-num log-pow flip-+
Counts
2 → 82
Calls
2 calls:
31.0ms
(/ (+ 1.0 x) (- 1.0 x))
47.0ms
(log (/ (+ 1.0 x) (- 1.0 x)))

series234.0ms

Counts
2 → 6
Calls
2 calls:
43.0ms
(/ (+ 1.0 x) (- 1.0 x))
191.0ms
(log (/ (+ 1.0 x) (- 1.0 x)))

simplify1.5s

Counts
88 → 88

prune278.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.2b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* 2.0 (+ (pow x 2) x)) (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))))
0.0b
(* 2.0 (/ (pow x 2) (pow 1.0 2)))

rewrite112.0ms

Algorithm
rewrite-expression-head
Rules
80×times-frac
71×add-sqr-sqrt
68×associate-*r*
56×unpow-prod-down
37×add-cube-cbrt *-un-lft-identity
25×add-exp-log
24×unpow2 sqr-pow
17×unswap-sqr
10×prod-exp
9×div-exp
7×add-cbrt-cube
6×pow-to-exp pow-exp add-log-exp
5×associate-+r+ associate-*r/
4×pow1 frac-add
3×log-prod flip3-+ associate-*l* associate--l+ flip-+
2×associate-+l+ flip3-- sum-log flip-- cbrt-unprod
1×cbrt-undiv +-commutative distribute-rgt-in associate-+r- sub-neg distribute-lft-in diff-log pow-prod-down *-commutative div-inv
Counts
2 → 134
Calls
2 calls:
53.0ms
(+ (* 2.0 (+ (pow x 2) x)) (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))))
51.0ms
(* 2.0 (/ (pow x 2) (pow 1.0 2)))

series503.0ms

Counts
2 → 6
Calls
2 calls:
434.0ms
(+ (* 2.0 (+ (pow x 2) x)) (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))))
69.0ms
(* 2.0 (/ (pow x 2) (pow 1.0 2)))

simplify1.6s

Counts
140 → 140

prune582.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.2b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* 2.0 (+ (pow x 2) x)) (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))))
0.0b
(* 2.0 (/ (pow x 2) (pow 1.0 2)))
3.0b
(exp (log (+ (* 2.0 (+ (pow x 2) x)) (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))))))

rewrite124.0ms

Algorithm
rewrite-expression-head
Rules
80×times-frac
74×add-sqr-sqrt
68×associate-*r*
56×unpow-prod-down
40×add-cube-cbrt *-un-lft-identity
26×add-exp-log
24×unpow2 sqr-pow
17×unswap-sqr
10×prod-exp
9×associate-*r/ div-exp
8×frac-add add-cbrt-cube
7×add-log-exp
6×pow1 pow-to-exp log-div log-prod flip3-+ exp-diff pow-exp flip-+
5×associate-+r+
4×exp-prod flip3-- flip--
3×associate-*l* exp-sum associate--l+
2×associate-+l+ sum-log cbrt-unprod
1×cbrt-undiv +-commutative distribute-rgt-in associate-+r- sub-neg distribute-lft-in diff-log pow-prod-down log-pow *-commutative div-inv rem-exp-log
Counts
3 → 155
Calls
3 calls:
39.0ms
(+ (* 2.0 (+ (pow x 2) x)) (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))))
45.0ms
(* 2.0 (/ (pow x 2) (pow 1.0 2)))
31.0ms
(exp (log (+ (* 2.0 (+ (pow x 2) x)) (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))))))

series1.1s

Counts
3 → 9
Calls
3 calls:
510.0ms
(+ (* 2.0 (+ (pow x 2) x)) (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))))
67.0ms
(* 2.0 (/ (pow x 2) (pow 1.0 2)))
476.0ms
(exp (log (+ (* 2.0 (+ (pow x 2) x)) (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))))))

simplify1.7s

Counts
164 → 164

prune914.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.2b

localize43.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (log (+ (* 2.0 (+ (pow x 2) x)) (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))))))
0.3b
(cbrt (log (+ (* 2.0 (+ (pow x 2) x)) (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))))))
1.8b
(exp (* (cbrt (log (+ (* 2.0 (+ (pow x 2) x)) (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2))))))) (cbrt (log (+ (* 2.0 (+ (pow x 2) x)) (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))))))))
2.9b
(pow (exp (* (cbrt (log (+ (* 2.0 (+ (pow x 2) x)) (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2))))))) (cbrt (log (+ (* 2.0 (+ (pow x 2) x)) (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2))))))))) (cbrt (log (+ (* 2.0 (+ (pow x 2) x)) (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2))))))))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
9×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
8×pow1
7×pow-unpow add-log-exp
4×add-exp-log add-cbrt-cube
3×unpow-prod-down pow-pow log-pow
2×exp-prod exp-to-pow pow1/3
1×pow-to-exp pow-exp rem-exp-log sqr-pow
Counts
4 → 57
Calls
4 calls:
1.0ms
(cbrt (log (+ (* 2.0 (+ (pow x 2) x)) (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))))))
1.0ms
(cbrt (log (+ (* 2.0 (+ (pow x 2) x)) (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))))))
5.0ms
(exp (* (cbrt (log (+ (* 2.0 (+ (pow x 2) x)) (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2))))))) (cbrt (log (+ (* 2.0 (+ (pow x 2) x)) (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))))))))
9.0ms
(pow (exp (* (cbrt (log (+ (* 2.0 (+ (pow x 2) x)) (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2))))))) (cbrt (log (+ (* 2.0 (+ (pow x 2) x)) (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2))))))))) (cbrt (log (+ (* 2.0 (+ (pow x 2) x)) (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2))))))))

series5.0s

Counts
4 → 12
Calls
4 calls:
500.0ms
(cbrt (log (+ (* 2.0 (+ (pow x 2) x)) (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))))))
527.0ms
(cbrt (log (+ (* 2.0 (+ (pow x 2) x)) (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))))))
945.0ms
(exp (* (cbrt (log (+ (* 2.0 (+ (pow x 2) x)) (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2))))))) (cbrt (log (+ (* 2.0 (+ (pow x 2) x)) (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))))))))
3.0s
(pow (exp (* (cbrt (log (+ (* 2.0 (+ (pow x 2) x)) (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2))))))) (cbrt (log (+ (* 2.0 (+ (pow x 2) x)) (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2))))))))) (cbrt (log (+ (* 2.0 (+ (pow x 2) x)) (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2))))))))

simplify659.0ms

Counts
69 → 69

prune635.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.2b

regimes128.0ms

Accuracy

0% (0.5b remaining)

Error of 0.7b against oracle of 0.2b and baseline of 0.7b

bsearch0.0ms

simplify1.6s

end0.0ms

sample6.0s

Algorithm
intervals
Results
2.6s3403×body1280valid
1.5s2503×body640valid
717.0ms1209×body320valid
560.0ms8049×body80nan
102.0ms680×body160valid
15.0ms205×body80valid