Details

Time bar (total: 3.1s)

sample12.0ms

Algorithm
intervals
Results
4.0ms256×body80valid

simplify7.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0113
1143
2163
3163

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ (- x y) (+ x y))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity
22×add-sqr-sqrt
20×times-frac
12×add-cube-cbrt
6×distribute-lft-out
5×associate-/l* distribute-lft-out-- difference-of-squares
4×associate-/r*
3×add-exp-log add-cbrt-cube
2×associate-/r/ associate-/l/
1×pow1 cbrt-undiv expm1-log1p-u flip3-- frac-2neg flip3-+ div-sub div-exp clear-num flip-- flip-+ log1p-expm1-u div-inv add-log-exp
Counts
1 → 48
Calls
1 calls:
24.0ms
(/ (- x y) (+ x y))

series60.0ms

Counts
1 → 3
Calls
1 calls:
60.0ms
(/ (- x y) (+ x y))

simplify47.0ms

Algorithm
egg-herbie
Counts
51 → 51
Iterations

Useful iterations: 3 (42.0ms)

IterNodesCost
0192297
1547283
21899283
35001280

prune89.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(exp (/ (- x y) (+ x y)))
0.0b
(log (exp (/ (- x y) (+ x y))))
0.0b
(/ (- x y) (+ x y))

rewrite101.0ms

Algorithm
rewrite-expression-head
Rules
93×*-un-lft-identity
61×add-sqr-sqrt
60×times-frac
52×exp-prod
35×add-cube-cbrt
27×log-pow
16×distribute-lft-out
13×distribute-lft-out-- difference-of-squares
6×associate-/r/
5×add-exp-log add-cbrt-cube associate-/l*
4×pow1 associate-/r* add-log-exp
3×expm1-log1p-u log-prod flip3-+ div-sub flip-+ log1p-expm1-u div-inv
2×exp-diff associate-/l/
1×cbrt-undiv log-div flip3-- frac-2neg div-exp rem-log-exp clear-num flip-- rem-exp-log
Counts
3 → 126
Calls
3 calls:
32.0ms
(exp (/ (- x y) (+ x y)))
37.0ms
(log (exp (/ (- x y) (+ x y))))
23.0ms
(/ (- x y) (+ x y))

series196.0ms

Counts
3 → 9
Calls
3 calls:
73.0ms
(exp (/ (- x y) (+ x y)))
65.0ms
(log (exp (/ (- x y) (+ x y))))
58.0ms
(/ (- x y) (+ x y))

simplify55.0ms

Algorithm
egg-herbie
Counts
135 → 135
Iterations

Useful iterations: 3 (46.0ms)

IterNodesCost
0266695
1670658
22184654
35002648

prune255.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(expm1 (log1p (/ (- x y) (+ x y))))
0.0b
(log (exp (expm1 (log1p (/ (- x y) (+ x y))))))
0.0b
(/ (- x y) (+ x y))
2.7b
(log1p (/ (- x y) (+ x y)))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
39×*-un-lft-identity
27×add-sqr-sqrt
20×times-frac
17×add-cube-cbrt
6×add-exp-log add-cbrt-cube distribute-lft-out
5×pow1 expm1-log1p-u associate-/l* distribute-lft-out-- difference-of-squares
4×associate-/r* log-pow log1p-expm1-u add-log-exp
3×log-prod exp-prod
2×associate-/r/ associate-/l/ expm1-udef
1×cbrt-undiv log-div log1p-udef expm1-log1p flip3-- frac-2neg flip3-+ exp-diff div-sub log1p-expm1 div-exp rem-log-exp clear-num flip-- flip-+ div-inv
Counts
4 → 88
Calls
4 calls:
0.0ms
(expm1 (log1p (/ (- x y) (+ x y))))
3.0ms
(log (exp (expm1 (log1p (/ (- x y) (+ x y))))))
23.0ms
(/ (- x y) (+ x y))
1.0ms
(log1p (/ (- x y) (+ x y)))

series426.0ms

Counts
4 → 12
Calls
4 calls:
134.0ms
(expm1 (log1p (/ (- x y) (+ x y))))
143.0ms
(log (exp (expm1 (log1p (/ (- x y) (+ x y))))))
62.0ms
(/ (- x y) (+ x y))
86.0ms
(log1p (/ (- x y) (+ x y)))

simplify51.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 3 (43.0ms)

IterNodesCost
0262544
1656499
22098499
35002490

prune242.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(log (sqrt (exp (/ (- x y) (+ x y)))))
0.0b
(log (sqrt (exp (/ (- x y) (+ x y)))))
0.0b
(/ (- x y) (+ x y))
0.0b
(/ (- x y) (+ x y))

rewrite136.0ms

Algorithm
rewrite-expression-head
Rules
130×*-un-lft-identity
86×add-sqr-sqrt
80×times-frac
58×log-pow
54×sqrt-pow1
52×exp-prod
50×add-cube-cbrt
22×distribute-lft-out
18×distribute-lft-out-- difference-of-squares
12×log-prod
10×add-exp-log associate-/l*
8×pow1 associate-/r* associate-/r/ add-cbrt-cube
6×sqrt-prod
4×expm1-log1p-u flip3-+ div-sub flip-+ log1p-expm1-u div-inv associate-/l/ add-log-exp
2×cbrt-undiv log-div flip3-- frac-2neg pow1/2 exp-diff sqrt-div div-exp rem-log-exp clear-num flip--
Counts
4 → 188
Calls
4 calls:
40.0ms
(log (sqrt (exp (/ (- x y) (+ x y)))))
37.0ms
(log (sqrt (exp (/ (- x y) (+ x y)))))
26.0ms
(/ (- x y) (+ x y))
23.0ms
(/ (- x y) (+ x y))

series406.0ms

Counts
4 → 12
Calls
4 calls:
142.0ms
(log (sqrt (exp (/ (- x y) (+ x y)))))
142.0ms
(log (sqrt (exp (/ (- x y) (+ x y)))))
57.0ms
(/ (- x y) (+ x y))
65.0ms
(/ (- x y) (+ x y))

simplify60.0ms

Algorithm
egg-herbie
Counts
200 → 200
Iterations

Useful iterations: 3 (46.0ms)

IterNodesCost
02751202
16641134
221291130
350011118

prune545.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

regimes38.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01811
11811

end0.0ms

sample310.0ms

Algorithm
intervals
Results
138.0ms8000×body80valid