Details

Time bar (total: 4.5s)

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:
25.0ms
(/ (- x y) (+ x y))

series55.0ms

Counts
1 → 3
Calls
1 calls:
55.0ms
(/ (- x y) (+ x y))

simplify48.0ms

Algorithm
egg-herbie
Counts
51 → 51
Iterations

Useful iterations: 3 (44.0ms)

IterNodesCost
0192297
1547283
21899283
35001280

prune80.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize5.0ms

Local error

Found 3 expressions with local error:

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

rewrite151.0ms

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:
11.0ms
(/ x (+ x y))
11.0ms
(/ y (+ x y))
93.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

series138.0ms

Counts
3 → 9
Calls
3 calls:
33.0ms
(/ x (+ x y))
33.0ms
(/ y (+ x y))
71.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

simplify121.0ms

Algorithm
egg-herbie
Counts
451 → 451
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
092710910
126007864
250016854

prune428.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ x (+ x y))
0.0b
(/ y (+ x y))
0.0b
(- (/ x (+ x y)) (log (exp (/ y (+ x y)))))
3.6b
(log (exp (/ y (+ x y))))

rewrite233.0ms

Algorithm
rewrite-expression-head
Rules
649×*-un-lft-identity
529×times-frac
396×prod-diff
383×add-sqr-sqrt
378×add-cube-cbrt
362×log-pow
342×exp-prod
134×distribute-lft-out
88×associate-/r/
44×flip3-+ flip-+ div-inv
24×pow1
18×fma-neg
8×add-exp-log associate-/r* add-cbrt-cube
6×log-prod associate-/l*
5×add-log-exp
4×expm1-log1p-u log1p-expm1-u
3×associate--r+
2×cbrt-undiv frac-2neg div-exp clear-num distribute-lft-out-- difference-of-squares
1×sub-neg flip3-- diff-log rem-log-exp flip--
Counts
4 → 537
Calls
4 calls:
10.0ms
(/ x (+ x y))
10.0ms
(/ y (+ x y))
142.0ms
(- (/ x (+ x y)) (log (exp (/ y (+ x y)))))
20.0ms
(log (exp (/ y (+ x y))))

series175.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(/ x (+ x y))
38.0ms
(/ y (+ x y))
69.0ms
(- (/ x (+ x y)) (log (exp (/ y (+ x y)))))
34.0ms
(log (exp (/ y (+ x y))))

simplify147.0ms

Algorithm
egg-herbie
Counts
549 → 549
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
0105615154
127259120
250028983

prune640.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ x (+ x y)) (log (exp (cbrt (pow (/ y (+ x y)) 3)))))
0.1b
(pow (/ y (+ x y)) 3)
3.6b
(log (exp (cbrt (pow (/ y (+ x y)) 3))))
13.0b
(cbrt (pow (/ y (+ x y)) 3))

rewrite483.0ms

Algorithm
rewrite-expression-head
Rules
1355×*-un-lft-identity
1105×times-frac
882×prod-diff
875×log-pow
855×exp-prod
840×cbrt-prod
805×add-sqr-sqrt
800×add-cube-cbrt
378×unpow-prod-down cube-prod
276×distribute-lft-out
184×associate-/r/
92×flip3-+ flip-+ div-inv
25×pow1
21×cube-mult unpow3 sqr-pow
18×fma-neg
7×add-exp-log add-cbrt-cube
6×log-prod
5×add-log-exp
4×expm1-log1p-u log1p-expm1-u
3×pow-unpow associate--r+
2×cube-div pow-exp distribute-lft-out-- rem-cube-cbrt difference-of-squares
1×cbrt-undiv pow-to-exp sub-neg cbrt-div flip3-- pow-pow pow1/3 diff-log div-exp rem-log-exp flip-- rem-cbrt-cube
Counts
4 → 1092
Calls
4 calls:
271.0ms
(- (/ x (+ x y)) (log (exp (cbrt (pow (/ y (+ x y)) 3)))))
13.0ms
(pow (/ y (+ x y)) 3)
54.0ms
(log (exp (cbrt (pow (/ y (+ x y)) 3))))
15.0ms
(cbrt (pow (/ y (+ x y)) 3))

series216.0ms

Counts
4 → 12
Calls
4 calls:
68.0ms
(- (/ x (+ x y)) (log (exp (cbrt (pow (/ y (+ x y)) 3)))))
71.0ms
(pow (/ y (+ x y)) 3)
41.0ms
(log (exp (cbrt (pow (/ y (+ x y)) 3))))
35.0ms
(cbrt (pow (/ y (+ x y)) 3))

simplify336.0ms

Algorithm
egg-herbie
Counts
1104 → 1104
Iterations

Useful iterations: 1 (25.0ms)

IterNodesCost
0160039247
1427418877
2500118877

prune870.0ms

Pruning

2 alts after pruning (1 fresh and 1 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
0129
1129

end0.0ms

sample326.0ms

Algorithm
intervals
Results
142.0ms8000×body80valid