Details

Time bar (total: 2.7s)

sample11.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify7.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0113
1143
2163
3163

prune2.0ms

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))

rewrite14.0ms

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:
12.0ms
(/ (- x y) (+ x y))

series67.0ms

Counts
1 → 3
Calls
1 calls:
67.0ms
(/ (- x y) (+ x y))

simplify48.0ms

Algorithm
egg-herbie
Counts
51 → 51
Iterations

Useful iterations: 3 (43.0ms)

IterNodesCost
0192297
1547283
21899283
35001280

prune92.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(log1p (expm1 (/ (- x y) (+ x y))))
0.0b
(/ (- x y) (+ x y))
0.5b
(expm1 (/ (- x y) (+ x y)))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
36×*-un-lft-identity
24×add-sqr-sqrt
20×times-frac
14×add-cube-cbrt
6×distribute-lft-out
5×add-exp-log add-cbrt-cube associate-/l* distribute-lft-out-- difference-of-squares
4×associate-/r* log1p-expm1-u
3×pow1 expm1-log1p-u add-log-exp
2×associate-/r/ associate-/l/
1×cbrt-undiv log1p-udef expm1-log1p flip3-- frac-2neg flip3-+ div-sub log1p-expm1 div-exp clear-num flip-- flip-+ div-inv expm1-udef
Counts
3 → 70
Calls
3 calls:
0.0ms
(log1p (expm1 (/ (- x y) (+ x y))))
12.0ms
(/ (- x y) (+ x y))
0.0ms
(expm1 (/ (- x y) (+ x y)))

series258.0ms

Counts
3 → 9
Calls
3 calls:
100.0ms
(log1p (expm1 (/ (- x y) (+ x y))))
66.0ms
(/ (- x y) (+ x y))
92.0ms
(expm1 (/ (- x y) (+ x y)))

simplify52.0ms

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 3 (46.0ms)

IterNodesCost
0223415
1592385
21950385
35001382

prune157.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(log (+ 1 (expm1 (/ (- x y) (+ x y)))))
0.0b
(/ (- x y) (+ x y))
0.5b
(expm1 (/ (- x y) (+ x y)))
0.6b
(+ 1 (expm1 (/ (- x y) (+ x y))))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
43×*-un-lft-identity
27×add-sqr-sqrt
20×times-frac
17×add-cube-cbrt
8×distribute-lft-out
7×add-exp-log
6×add-cbrt-cube add-log-exp
5×pow1 log1p-expm1-u associate-/l* distribute-lft-out-- difference-of-squares
4×expm1-log1p-u log-prod associate-/r*
3×fma-def flip3-+ flip-+
2×log-div associate-/r/ associate-/l/ expm1-udef
1×cbrt-undiv +-commutative associate-+r- expm1-log1p flip3-- frac-2neg log1p-def div-sub div-exp rem-log-exp clear-num sum-log log-pow flip-- div-inv
Counts
4 → 95
Calls
4 calls:
2.0ms
(log (+ 1 (expm1 (/ (- x y) (+ x y)))))
15.0ms
(/ (- x y) (+ x y))
0.0ms
(expm1 (/ (- x y) (+ x y)))
3.0ms
(+ 1 (expm1 (/ (- x y) (+ x y))))

series353.0ms

Counts
4 → 12
Calls
4 calls:
101.0ms
(log (+ 1 (expm1 (/ (- x y) (+ x y)))))
67.0ms
(/ (- x y) (+ x y))
94.0ms
(expm1 (/ (- x y) (+ x y)))
90.0ms
(+ 1 (expm1 (/ (- x y) (+ x y))))

simplify73.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
0293603
1992561
23075558
35001558

prune241.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- x y))
0.5b
(cbrt (- x y))
0.5b
(cbrt (- x y))
0.5b
(expm1 (* (* (cbrt (- x y)) (cbrt (- x y))) (/ (cbrt (- x y)) (+ x y))))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
15×cbrt-prod
13×add-sqr-sqrt *-un-lft-identity
7×add-cube-cbrt
6×cbrt-div
5×log1p-expm1-u
4×pow1 add-exp-log expm1-log1p-u add-cbrt-cube add-log-exp
3×flip3-- pow1/3 flip-- distribute-lft-out-- difference-of-squares
1×expm1-log1p expm1-udef
Counts
4 → 62
Calls
4 calls:
2.0ms
(cbrt (- x y))
2.0ms
(cbrt (- x y))
2.0ms
(cbrt (- x y))
0.0ms
(expm1 (* (* (cbrt (- x y)) (cbrt (- x y))) (/ (cbrt (- x y)) (+ x y))))

series541.0ms

Counts
4 → 12
Calls
4 calls:
160.0ms
(cbrt (- x y))
147.0ms
(cbrt (- x y))
142.0ms
(cbrt (- x y))
92.0ms
(expm1 (* (* (cbrt (- x y)) (cbrt (- x y))) (/ (cbrt (- x y)) (+ x y))))

simplify130.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 4 (123.0ms)

IterNodesCost
0179495
1381457
21011441
33352420
45002407

prune220.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes52.0ms

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
0136
1136

end0.0ms

sample280.0ms

Algorithm
intervals
Results
155.0ms8000×body80valid