Details

Time bar (total: 3.6s)

sample50.0ms

Algorithm
intervals
Results
13.0ms239×body160nan
10.0ms511×body80nan
7.0ms256×body80valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0105
1115
2115

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 33.9b

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b
(log (+ x (sqrt (- (* x x) 1.0))))
31.5b
(sqrt (- (* x x) 1.0))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt *-un-lft-identity
4×pow1 add-cube-cbrt log-prod sqrt-prod
3×add-exp-log
2×log-div sqrt-div add-cbrt-cube add-log-exp
1×rem-sqrt-square flip3-- sqrt-pow1 flip3-+ pow1/2 rem-log-exp log-pow flip-- flip-+ distribute-lft-out difference-of-squares
Counts
2 → 31
Calls
2 calls:
17.0ms
(log (+ x (sqrt (- (* x x) 1.0))))
11.0ms
(sqrt (- (* x x) 1.0))

series229.0ms

Counts
2 → 6
Calls
2 calls:
179.0ms
(log (+ x (sqrt (- (* x x) 1.0))))
50.0ms
(sqrt (- (* x x) 1.0))

simplify123.0ms

Algorithm
egg-herbie
Counts
37 → 37
Iterations

Useful iterations: 3 (119.0ms)

IterNodesCost
0270298
1889279
24126271
35001270

prune93.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.2b
(/ (/ 0.25 x) x)
0.2b
(/ 0.09375 (pow x 4))
0.2b
(+ (log 2) (- (- (log x) (/ (/ 0.25 x) x)) (/ 0.09375 (pow x 4))))

rewrite412.0ms

Algorithm
rewrite-expression-head
Rules
96×times-frac
83×*-un-lft-identity
63×add-sqr-sqrt add-cube-cbrt
16×associate-/l*
13×add-exp-log
12×unpow-prod-down
10×associate-/r* add-cbrt-cube distribute-lft-out--
9×pow1
8×associate--l+ distribute-lft-out add-log-exp
7×associate-+r+
6×log-prod div-exp log-pow div-inv
4×cbrt-undiv sqr-pow
3×associate-+l+ diff-log sum-log
2×sub-neg frac-2neg clear-num
1×+-commutative pow-to-exp associate-+r- flip3-+ pow-exp flip-+ associate-/l/
Counts
3 → 147
Calls
3 calls:
11.0ms
(/ (/ 0.25 x) x)
8.0ms
(/ 0.09375 (pow x 4))
387.0ms
(+ (log 2) (- (- (log x) (/ (/ 0.25 x) x)) (/ 0.09375 (pow x 4))))

series147.0ms

Counts
3 → 9
Calls
3 calls:
23.0ms
(/ (/ 0.25 x) x)
33.0ms
(/ 0.09375 (pow x 4))
91.0ms
(+ (log 2) (- (- (log x) (/ (/ 0.25 x) x)) (/ 0.09375 (pow x 4))))

simplify56.0ms

Algorithm
egg-herbie
Counts
156 → 156
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
06081049
12305939
25002934

prune370.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.2b
(log (+ x (- (- x (/ 0.125 (pow x 3))) (* 0.5 (/ 1 x)))))
0.6b
(/ 0.125 (pow x 3))

rewrite250.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
30×*-un-lft-identity
28×add-sqr-sqrt add-cube-cbrt
12×unpow-prod-down cube-prod associate-/r*
8×add-exp-log
4×cube-mult log-prod unpow3 add-cbrt-cube sqr-pow
3×pow1 div-exp associate-/l*
2×log-div add-log-exp
1×cbrt-undiv pow-to-exp frac-2neg flip3-+ rem-log-exp pow-exp clear-num log-pow flip-+ div-inv distribute-lft-out
Counts
2 → 80
Calls
2 calls:
238.0ms
(log (+ x (- (- x (/ 0.125 (pow x 3))) (* 0.5 (/ 1 x)))))
8.0ms
(/ 0.125 (pow x 3))

series181.0ms

Counts
2 → 6
Calls
2 calls:
143.0ms
(log (+ x (- (- x (/ 0.125 (pow x 3))) (* 0.5 (/ 1 x)))))
38.0ms
(/ 0.125 (pow x 3))

simplify51.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0328544
11489509
25002509

prune162.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes12.0ms

Accuracy

0% (0.2b remaining)

Error of 0.4b against oracle of 0.2b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0159
1159

end0.0ms

sample1.4s

Algorithm
intervals
Results
347.0ms7632×body160nan
327.0ms16185×body80nan
223.0ms8000×body80valid