Details

Time bar (total: 13.7s)

sample140.0ms

Algorithm
intervals
Results
68.0ms118×body1280valid
33.0ms85×body640valid
11.0ms266×body80nan
7.0ms37×body320valid
2.0ms14×body160valid
0.0ms2×body80valid

simplify87.0ms

Counts
1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.4b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ 1.0 x) (- 1.0 x))
4.1b
(log (/ (+ 1.0 x) (- 1.0 x)))

rewrite60.0ms

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:
46.0ms
(/ (+ 1.0 x) (- 1.0 x))
11.0ms
(log (/ (+ 1.0 x) (- 1.0 x)))

series214.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(/ (+ 1.0 x) (- 1.0 x))
168.0ms
(log (/ (+ 1.0 x) (- 1.0 x)))

simplify1.3s

Counts
88 → 88

prune334.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize30.0ms

Local error

Found 1 expressions with local error:

0.0b
(* 2.0 (/ (pow x 2) (pow 1.0 2)))

rewrite82.0ms

Algorithm
rewrite-expression-head
Rules
80×times-frac
69×add-sqr-sqrt
68×associate-*r*
56×unpow-prod-down
35×add-cube-cbrt *-un-lft-identity
24×add-exp-log unpow2 sqr-pow
17×unswap-sqr
10×prod-exp
9×div-exp
6×pow-to-exp pow-exp add-cbrt-cube
3×pow1 associate-*l*
2×cbrt-unprod
1×cbrt-undiv associate-*r/ pow-prod-down *-commutative div-inv add-log-exp
Counts
1 → 110
Calls
1 calls:
67.0ms
(* 2.0 (/ (pow x 2) (pow 1.0 2)))

series85.0ms

Counts
1 → 3
Calls
1 calls:
85.0ms
(* 2.0 (/ (pow x 2) (pow 1.0 2)))

simplify962.0ms

Counts
113 → 113

prune365.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 2 expressions with local error:

4.2b
(log (+ 1.0 x))
4.2b
(log (- 1.0 x))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
9×log-prod
8×*-un-lft-identity
6×add-sqr-sqrt
4×pow1 add-exp-log add-cube-cbrt log-div
2×rem-log-exp log-pow add-cbrt-cube add-log-exp
1×flip3-- flip3-+ flip-- flip-+ distribute-lft-out distribute-lft-out-- difference-of-squares
Counts
2 → 31
Calls
2 calls:
9.0ms
(log (+ 1.0 x))
9.0ms
(log (- 1.0 x))

series116.0ms

Counts
2 → 6
Calls
2 calls:
60.0ms
(log (+ 1.0 x))
57.0ms
(log (- 1.0 x))

simplify724.0ms

Counts
37 → 37

prune150.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize22.0ms

Local error

Found 3 expressions with local error:

1.1b
(log (+ (pow 1.0 3) (pow x 3)))
4.2b
(log (- 1.0 x))
4.2b
(log (+ (* 1.0 1.0) (- (* x x) (* 1.0 x))))

rewrite77.0ms

Algorithm
rewrite-expression-head
Rules
18×*-un-lft-identity
17×log-prod
8×add-sqr-sqrt
6×pow1 add-exp-log add-cube-cbrt log-div
5×distribute-lft-out
4×unpow-prod-down cube-prod
3×rem-log-exp log-pow add-cbrt-cube add-log-exp
2×flip3-+ flip-+
1×flip3-- sum-cubes flip-- distribute-lft-out-- difference-of-squares
Counts
3 → 50
Calls
3 calls:
45.0ms
(log (+ (pow 1.0 3) (pow x 3)))
10.0ms
(log (- 1.0 x))
19.0ms
(log (+ (* 1.0 1.0) (- (* x x) (* 1.0 x))))

series516.0ms

Counts
3 → 9
Calls
3 calls:
368.0ms
(log (+ (pow 1.0 3) (pow x 3)))
53.0ms
(log (- 1.0 x))
94.0ms
(log (+ (* 1.0 1.0) (- (* x x) (* 1.0 x))))

simplify664.0ms

Counts
59 → 59

prune363.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

regimes27.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify1.6s

end0.0ms

sample5.8s

Algorithm
intervals
Results
3.1s3473×body1280valid
1.1s2521×body640valid
595.0ms8096×body80nan
434.0ms1208×body320valid
132.0ms626×body160valid
61.0ms172×body80valid