Details

Time bar (total: 7.2s)

sample96.0ms

Algorithm
intervals
Results
49.0ms101×body1280valid
20.0ms80×body640valid
7.0ms258×body80nan
7.0ms48×body320valid
2.0ms21×body160valid
0.0ms6×body80valid

simplify17.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0186
1256
2406
3656
4986
51226
61356
71376
81376

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.9b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ 1.0 x) (- 1.0 x))
6.0b
(log (/ (+ 1.0 x) (- 1.0 x)))

rewrite20.0ms

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×expm1-log1p-u flip3-- div-exp rem-log-exp flip-- log1p-expm1-u div-inv associate-/l/ add-log-exp
1×cbrt-undiv log-div frac-2neg flip3-+ clear-num log-pow flip-+
Counts
2 → 86
Calls
2 calls:
11.0ms
(/ (+ 1.0 x) (- 1.0 x))
5.0ms
(log (/ (+ 1.0 x) (- 1.0 x)))

series156.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(/ (+ 1.0 x) (- 1.0 x))
125.0ms
(log (/ (+ 1.0 x) (- 1.0 x)))

simplify120.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 3 (111.0ms)

IterNodesCost
0334673
11078636
24549616
35001613

prune204.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 1 expressions with local error:

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

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
0.0ms
(fma (fma x x x) 2.0 (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))))

series311.0ms

Counts
1 → 3
Calls
1 calls:
311.0ms
(fma (fma x x x) 2.0 (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))))

simplify110.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
043116
112499
246799
3316999
4500199

prune53.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (sqrt (+ 1.0 x)) (sqrt (- 1.0 x)))
0.0b
(/ (sqrt (+ 1.0 x)) (sqrt (- 1.0 x)))
6.0b
(log (/ (sqrt (+ 1.0 x)) (sqrt (- 1.0 x))))
6.0b
(log (/ (sqrt (+ 1.0 x)) (sqrt (- 1.0 x))))

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
286×sqrt-prod
262×*-un-lft-identity
224×times-frac
194×add-sqr-sqrt
134×add-cube-cbrt
124×log-prod
34×distribute-lft-out
30×distribute-lft-out-- difference-of-squares
16×associate-/r*
14×add-exp-log associate-/l*
12×sqrt-div
8×associate-/r/ add-cbrt-cube
6×pow1
4×expm1-log1p-u flip3-- div-exp rem-log-exp flip-- log1p-expm1-u div-inv associate-/l/ add-log-exp
2×cbrt-undiv log-div sqrt-undiv frac-2neg flip3-+ clear-num log-pow flip-+
Counts
4 → 330
Calls
4 calls:
13.0ms
(/ (sqrt (+ 1.0 x)) (sqrt (- 1.0 x)))
12.0ms
(/ (sqrt (+ 1.0 x)) (sqrt (- 1.0 x)))
8.0ms
(log (/ (sqrt (+ 1.0 x)) (sqrt (- 1.0 x))))
12.0ms
(log (/ (sqrt (+ 1.0 x)) (sqrt (- 1.0 x))))

series571.0ms

Counts
4 → 12
Calls
4 calls:
92.0ms
(/ (sqrt (+ 1.0 x)) (sqrt (- 1.0 x)))
93.0ms
(/ (sqrt (+ 1.0 x)) (sqrt (- 1.0 x)))
189.0ms
(log (/ (sqrt (+ 1.0 x)) (sqrt (- 1.0 x))))
196.0ms
(log (/ (sqrt (+ 1.0 x)) (sqrt (- 1.0 x))))

simplify80.0ms

Algorithm
egg-herbie
Counts
342 → 342
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
05104132
116663972
250013788

prune633.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (sqrt (+ 1.0 x)) (sqrt (- 1.0 x)))
6.0b
(log (/ (sqrt (+ 1.0 x)) (sqrt (- 1.0 x))))
6.0b
(log (/ (sqrt (+ 1.0 x)) (sqrt (sqrt (- 1.0 x)))))
6.1b
(log (/ 1 (sqrt (sqrt (- 1.0 x)))))

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
317×sqrt-prod
240×*-un-lft-identity
222×times-frac
184×add-sqr-sqrt log-prod
134×add-cube-cbrt
28×distribute-lft-out
25×distribute-lft-out-- difference-of-squares
17×add-exp-log
14×sqrt-div
10×pow1
9×log-pow
8×rem-log-exp associate-/r* associate-/r/
7×associate-/l*
6×add-cbrt-cube
5×pow-flip div-exp
4×expm1-log1p-u flip3-- sqrt-pow1 flip-- log1p-expm1-u div-inv add-log-exp
3×log-div
2×pow1/2 associate-/l/
1×cbrt-undiv rec-exp sqrt-undiv frac-2neg flip3-+ 1-exp log-rec clear-num flip-+ inv-pow
Counts
4 → 322
Calls
4 calls:
13.0ms
(/ (sqrt (+ 1.0 x)) (sqrt (- 1.0 x)))
8.0ms
(log (/ (sqrt (+ 1.0 x)) (sqrt (- 1.0 x))))
11.0ms
(log (/ (sqrt (+ 1.0 x)) (sqrt (sqrt (- 1.0 x)))))
7.0ms
(log (/ 1 (sqrt (sqrt (- 1.0 x)))))

series916.0ms

Counts
4 → 12
Calls
4 calls:
88.0ms
(/ (sqrt (+ 1.0 x)) (sqrt (- 1.0 x)))
179.0ms
(log (/ (sqrt (+ 1.0 x)) (sqrt (- 1.0 x))))
516.0ms
(log (/ (sqrt (+ 1.0 x)) (sqrt (sqrt (- 1.0 x)))))
133.0ms
(log (/ 1 (sqrt (sqrt (- 1.0 x)))))

simplify104.0ms

Algorithm
egg-herbie
Counts
334 → 334
Iterations

Useful iterations: 2 (64.0ms)

IterNodesCost
010504314
132074173
250023931

prune730.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

regimes30.0ms

Accuracy

0% (0.5b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01610
11610

end0.0ms

sample2.8s

Algorithm
intervals
Results
1.5s3419×body1280valid
618.0ms2528×body640valid
215.0ms8017×body80nan
186.0ms1241×body320valid
53.0ms603×body160valid
8.0ms209×body80valid