Details

Time bar (total: 5.7s)

sample98.0ms

Algorithm
intervals
Results
50.0ms109×body1280valid
24.0ms89×body640valid
6.0ms234×body80nan
5.0ms35×body320valid
1.0ms13×body160valid
0.0ms10×body80valid

simplify16.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0186
1256
2406
3656
4986
51226
61356
71376
81376

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.6b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ 1.0 x) (- 1.0 x))
3.8b
(log (/ (+ 1.0 x) (- 1.0 x)))

rewrite19.0ms

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:
10.0ms
(/ (+ 1.0 x) (- 1.0 x))
5.0ms
(log (/ (+ 1.0 x) (- 1.0 x)))

series155.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(/ (+ 1.0 x) (- 1.0 x))
123.0ms
(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

prune194.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.4b

localize14.0ms

Local error

Found 1 expressions with local error:

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

rewrite34.0ms

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 expm1-log1p-u associate-*r/ pow-prod-down *-commutative log1p-expm1-u div-inv add-log-exp
Counts
1 → 112
Calls
1 calls:
28.0ms
(* 2.0 (/ (pow x 2) (pow 1.0 2)))

series49.0ms

Counts
1 → 3
Calls
1 calls:
49.0ms
(* 2.0 (/ (pow x 2) (pow 1.0 2)))

simplify56.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0532653
12211536
25002535

prune289.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.4b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (- 1.0 x))
0.0b
(+ (log (+ 1.0 x)) (log (/ 1 (- 1.0 x))))
3.8b
(log (/ 1 (- 1.0 x)))
3.8b
(log (+ 1.0 x))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
63×*-un-lft-identity
55×add-sqr-sqrt
50×log-prod
45×times-frac
35×add-cube-cbrt
21×associate-+r+
14×add-exp-log
13×pow1
10×distribute-lft-out-- difference-of-squares
9×log-pow
6×log-div associate-/r/ add-cbrt-cube distribute-lft-out
5×rem-log-exp associate-/r*
4×expm1-log1p-u associate-+l+ fma-def div-exp log1p-expm1-u add-log-exp
3×flip3-- flip3-+ log-rec flip-- flip-+ div-inv associate-/l*
2×associate-+l- rec-exp pow-flip 1-exp inv-pow
1×cbrt-undiv +-commutative associate-+r- frac-2neg unsub-neg clear-num sum-log
Counts
4 → 150
Calls
4 calls:
5.0ms
(/ 1 (- 1.0 x))
11.0ms
(+ (log (+ 1.0 x)) (log (/ 1 (- 1.0 x))))
4.0ms
(log (/ 1 (- 1.0 x)))
4.0ms
(log (+ 1.0 x))

series310.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(/ 1 (- 1.0 x))
177.0ms
(+ (log (+ 1.0 x)) (log (/ 1 (- 1.0 x))))
65.0ms
(log (/ 1 (- 1.0 x)))
40.0ms
(log (+ 1.0 x))

simplify46.0ms

Algorithm
egg-herbie
Counts
162 → 162
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0504961
11640858
25002757

prune271.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.3b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (log (+ (pow 1.0 3) (pow x 3))) (log (+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))))
1.8b
(log (+ (pow 1.0 3) (pow x 3)))
3.8b
(log (+ (* 1.0 1.0) (- (* x x) (* 1.0 x))))
3.8b
(log (/ 1 (- 1.0 x)))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
56×*-un-lft-identity
45×log-prod
34×add-sqr-sqrt
26×add-cube-cbrt
21×pow1
18×log-pow
16×prod-diff
15×times-frac
11×add-exp-log
10×distribute-lft-out
9×log-div associate--l+
8×unpow-prod-down cube-prod
7×distribute-lft-out--
6×rem-log-exp
4×expm1-log1p-u flip3-+ fma-neg add-cbrt-cube flip-+ log1p-expm1-u add-log-exp difference-of-squares
3×associate--r+
2×associate--l- flip3-- div-exp associate-/r/ sum-cubes flip-- associate--r-
1×sub-neg rec-exp pow-flip diff-log 1-exp log-rec div-inv inv-pow
Counts
4 → 132
Calls
4 calls:
24.0ms
(- (log (+ (pow 1.0 3) (pow x 3))) (log (+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))))
12.0ms
(log (+ (pow 1.0 3) (pow x 3)))
6.0ms
(log (+ (* 1.0 1.0) (- (* x x) (* 1.0 x))))
4.0ms
(log (/ 1 (- 1.0 x)))

series537.0ms

Counts
4 → 12
Calls
4 calls:
148.0ms
(- (log (+ (pow 1.0 3) (pow x 3))) (log (+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))))
256.0ms
(log (+ (pow 1.0 3) (pow x 3)))
64.0ms
(log (+ (* 1.0 1.0) (- (* x x) (* 1.0 x))))
68.0ms
(log (/ 1 (- 1.0 x)))

simplify69.0ms

Algorithm
egg-herbie
Counts
144 → 144
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
06451913
123211477
250021473

prune397.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.3b

regimes75.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.2b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01610
11610

end0.0ms

sample2.9s

Algorithm
intervals
Results
1.5s3448×body1280valid
630.0ms2511×body640valid
214.0ms8035×body80nan
175.0ms1194×body320valid
61.0ms631×body160valid
9.0ms216×body80valid