Details

Time bar (total: 3.3s)

sample18.0ms

Algorithm
intervals
Results
11.0ms256×body80valid

simplify8.0ms

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))

simplify52.0ms

Algorithm
egg-herbie
Counts
51 → 51
Iterations

Useful iterations: 3 (47.0ms)

IterNodesCost
0192297
1547283
21899283
35001280

prune92.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(log1p (expm1 (/ (- x y) (+ x y))))
0.0b
(/ (- x y) (+ x y))
0.4b
(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)))

series263.0ms

Counts
3 → 9
Calls
3 calls:
101.0ms
(log1p (expm1 (/ (- x y) (+ x y))))
67.0ms
(/ (- x y) (+ x y))
94.0ms
(expm1 (/ (- x y) (+ x y)))

simplify56.0ms

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 3 (49.0ms)

IterNodesCost
0223415
1592385
21950385
35001382

prune165.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- x y) (+ x y))
0.0b
(/ (- x y) (+ x y))
0.0b
(/ (- x y) (+ x y))
0.4b
(expm1 (* (* (cbrt (/ (- x y) (+ x y))) (cbrt (/ (- x y) (+ x y)))) (cbrt (/ (- x y) (+ x y)))))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
103×*-un-lft-identity
67×add-sqr-sqrt
60×times-frac
37×add-cube-cbrt
18×distribute-lft-out
15×associate-/l* distribute-lft-out-- difference-of-squares
12×associate-/r*
10×add-exp-log add-cbrt-cube
6×associate-/r/ associate-/l/
5×log1p-expm1-u
4×pow1 expm1-log1p-u add-log-exp
3×cbrt-undiv flip3-- frac-2neg flip3-+ div-sub div-exp clear-num flip-- flip-+ div-inv
1×expm1-log1p expm1-udef
Counts
4 → 155
Calls
4 calls:
12.0ms
(/ (- x y) (+ x y))
15.0ms
(/ (- x y) (+ x y))
12.0ms
(/ (- x y) (+ x y))
0.0ms
(expm1 (* (* (cbrt (/ (- x y) (+ x y))) (cbrt (/ (- x y) (+ x y)))) (cbrt (/ (- x y) (+ x y)))))

series312.0ms

Counts
4 → 12
Calls
4 calls:
64.0ms
(/ (- x y) (+ x y))
67.0ms
(/ (- x y) (+ x y))
67.0ms
(/ (- x y) (+ x y))
114.0ms
(expm1 (* (* (cbrt (/ (- x y) (+ x y))) (cbrt (/ (- x y) (+ x y)))) (cbrt (/ (- x y) (+ x y)))))

simplify66.0ms

Algorithm
egg-herbie
Counts
167 → 167
Iterations

Useful iterations: 3 (49.0ms)

IterNodesCost
02171099
15841017
219541004
35002984

prune472.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.4b
(expm1 (* (* (cbrt (/ (/ (- x y) (* (cbrt (+ x y)) (cbrt (+ x y)))) (cbrt (+ x y)))) (cbrt (/ (- x y) (+ x y)))) (cbrt (/ (- x y) (+ x y)))))
0.5b
(cbrt (+ x y))
0.5b
(cbrt (+ x y))
0.5b
(cbrt (+ x y))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
13×*-un-lft-identity
12×cbrt-prod
7×add-sqr-sqrt 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
1×expm1-log1p expm1-udef
Counts
4 → 59
Calls
4 calls:
0.0ms
(expm1 (* (* (cbrt (/ (/ (- x y) (* (cbrt (+ x y)) (cbrt (+ x y)))) (cbrt (+ x y)))) (cbrt (/ (- x y) (+ x y)))) (cbrt (/ (- x y) (+ x y)))))
2.0ms
(cbrt (+ x y))
2.0ms
(cbrt (+ x y))
2.0ms
(cbrt (+ x y))

series662.0ms

Counts
4 → 12
Calls
4 calls:
258.0ms
(expm1 (* (* (cbrt (/ (/ (- x y) (* (cbrt (+ x y)) (cbrt (+ x y)))) (cbrt (+ x y)))) (cbrt (/ (- x y) (+ x y)))) (cbrt (/ (- x y) (+ x y)))))
133.0ms
(cbrt (+ x y))
132.0ms
(cbrt (+ x y))
139.0ms
(cbrt (+ x y))

simplify51.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 3 (44.0ms)

IterNodesCost
0181580
1427517
21286511
35001490

prune302.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes67.0ms

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
085
185

end0.0ms

sample495.0ms

Algorithm
intervals
Results
363.0ms8000×body80valid