Details

Time bar (total: 2.9s)

sample13.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify13.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0113
1143
2163
3163

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite12.0ms

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:
10.0ms
(/ (- x y) (+ x y))

series81.0ms

Counts
1 → 3
Calls
1 calls:
81.0ms
(/ (- x y) (+ x y))

simplify67.0ms

Algorithm
egg-herbie
Counts
51 → 51
Iterations

Useful iterations: 3 (61.0ms)

IterNodesCost
0192297
1547283
21899283
35001280

prune105.0ms

Filtered
51 candidates to 35 candidates (68.6%)
Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite87.0ms

Algorithm
rewrite-expression-head
Rules
581×*-un-lft-identity
484×times-frac
331×add-sqr-sqrt
324×prod-diff
319×add-cube-cbrt
123×distribute-lft-out
82×associate-/r/
41×flip3-+ flip-+ div-inv
18×fma-neg
8×associate-/r*
7×add-exp-log add-cbrt-cube distribute-lft-out--
6×associate-/l*
5×add-log-exp
4×difference-of-squares
3×pow1 expm1-log1p-u distribute-rgt-out-- log1p-expm1-u
2×cbrt-undiv frac-2neg div-exp clear-num
1×sub-neg flip3-- diff-log frac-sub flip-- sub-div
Counts
3 → 442
Calls
3 calls:
6.0ms
(/ y (+ x y))
6.0ms
(/ x (+ x y))
33.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

series190.0ms

Counts
3 → 9
Calls
3 calls:
49.0ms
(/ y (+ x y))
47.0ms
(/ x (+ x y))
94.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

simplify162.0ms

Algorithm
egg-herbie
Counts
451 → 451
Iterations

Useful iterations: 2 (79.0ms)

IterNodesCost
092710910
126007864
250016854

prune535.0ms

Filtered
451 candidates to 151 candidates (33.5%)
Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ x (+ x y))
0.1b
(* (/ x (+ x y)) (/ x (+ x y)))
0.1b
(pow (/ x (+ x y)) 3)
0.1b
(pow (/ y (+ x y)) 3)

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
157×*-un-lft-identity
124×times-frac
95×add-sqr-sqrt
83×add-cube-cbrt
36×unpow-prod-down cube-prod
34×distribute-lft-out
24×add-exp-log swap-sqr add-cbrt-cube
18×associate-*r* associate-*l* associate-/r/
13×pow1
9×flip3-+ flip-+ div-inv
7×cbrt-undiv div-exp
6×pow-unpow
4×expm1-log1p-u pow-exp prod-exp associate-/r* cbrt-unprod log1p-expm1-u add-log-exp rem-cube-cbrt unswap-sqr
3×associate-/l*
2×cube-div cube-mult pow-to-exp pow-pow unpow3 sqr-pow
1×pow2 frac-times frac-2neg pow-plus associate-*r/ pow-prod-down associate-*l/ clear-num pow-sqr *-commutative pow-prod-up
Counts
4 → 241
Calls
4 calls:
6.0ms
(/ x (+ x y))
19.0ms
(* (/ x (+ x y)) (/ x (+ x y)))
9.0ms
(pow (/ x (+ x y)) 3)
12.0ms
(pow (/ y (+ x y)) 3)

series552.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(/ x (+ x y))
328.0ms
(* (/ x (+ x y)) (/ x (+ x y)))
90.0ms
(pow (/ x (+ x y)) 3)
90.0ms
(pow (/ y (+ x y)) 3)

simplify180.0ms

Algorithm
egg-herbie
Counts
253 → 253
Iterations

Useful iterations: 1 (35.0ms)

IterNodesCost
08261546
148461312
250011312

prune549.0ms

Filtered
253 candidates to 136 candidates (53.8%)
Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes27.0ms

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
075
175

end0.0ms

sample283.0ms

Algorithm
intervals
Results
155.0ms8000×body80valid