Details

Time bar (total: 3.5s)

sample14.0ms

Algorithm
intervals
Results
5.0ms268×body80valid

simplify10.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0123
1163
2183
3183

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) (- z y))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
37×add-sqr-sqrt *-un-lft-identity
25×times-frac
13×add-cube-cbrt
12×distribute-lft-out-- difference-of-squares
5×associate-/r* associate-/l*
3×add-exp-log add-cbrt-cube
2×flip3-- associate-/r/ flip-- associate-/l/
1×pow1 cbrt-undiv expm1-log1p-u frac-2neg div-sub div-exp clear-num log1p-expm1-u div-inv add-log-exp
Counts
1 → 54
Calls
1 calls:
12.0ms
(/ (- x y) (- z y))

series58.0ms

Counts
1 → 3
Calls
1 calls:
58.0ms
(/ (- x y) (- z y))

simplify60.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0228361
1634347
22142347
35002347

prune119.0ms

Filtered
57 candidates to 39 candidates (68.4%)
Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite141.0ms

Algorithm
rewrite-expression-head
Rules
712×*-un-lft-identity
702×add-sqr-sqrt
693×times-frac
441×prod-diff
412×add-cube-cbrt
149×distribute-lft-out--
143×difference-of-squares
94×associate-/r/
48×flip3-- flip--
47×div-inv
21×fma-neg
10×associate-/r*
7×add-exp-log add-cbrt-cube
6×associate-/l*
5×add-log-exp
3×pow1 expm1-log1p-u distribute-rgt-out-- log1p-expm1-u
2×cbrt-undiv frac-2neg div-exp clear-num
1×sub-neg diff-log frac-sub sub-div
Counts
3 → 571
Calls
3 calls:
5.0ms
(/ x (- z y))
72.0ms
(- (/ x (- z y)) (/ y (- z y)))
6.0ms
(/ y (- z y))

series167.0ms

Counts
3 → 9
Calls
3 calls:
32.0ms
(/ x (- z y))
77.0ms
(- (/ x (- z y)) (/ y (- z y)))
58.0ms
(/ y (- z y))

simplify186.0ms

Algorithm
egg-herbie
Counts
580 → 580
Iterations

Useful iterations: 2 (80.0ms)

IterNodesCost
0120915592
1324011621
2500110388

prune760.0ms

Filtered
580 candidates to 191 candidates (32.9%)
Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z y) (- x y))
0.3b
(/ 1 (/ (- z y) (- x y)))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
218×times-frac
194×add-sqr-sqrt *-un-lft-identity
90×add-cube-cbrt
52×distribute-lft-out-- difference-of-squares
36×associate-/r*
15×add-exp-log
11×associate-/r/
9×add-cbrt-cube
8×div-exp associate-/l*
6×flip3-- flip-- div-inv
4×cbrt-undiv
3×pow1
2×expm1-log1p-u rec-exp frac-2neg 1-exp clear-num log1p-expm1-u associate-/l/ add-log-exp
1×pow-flip div-sub inv-pow
Counts
2 → 204
Calls
2 calls:
12.0ms
(/ (- z y) (- x y))
15.0ms
(/ 1 (/ (- z y) (- x y)))

series206.0ms

Counts
2 → 6
Calls
2 calls:
58.0ms
(/ (- z y) (- x y))
147.0ms
(/ 1 (/ (- z y) (- x y)))

simplify79.0ms

Algorithm
egg-herbie
Counts
210 → 210
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
05931807
127021636
250011468

prune311.0ms

Filtered
210 candidates to 96 candidates (45.7%)
Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

3.7b
(- (* z z) (* y y))
5.4b
(* (+ z y) (/ y (- (* z z) (* y y))))
18.3b
(/ y (- (* z z) (* y y)))
18.3b
(/ y (- (* z z) (* y y)))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
37×times-frac
36×add-sqr-sqrt
33×*-un-lft-identity
31×add-cube-cbrt
18×associate-*r*
13×add-exp-log add-cbrt-cube
12×difference-of-squares
8×associate-/r*
6×pow1 associate-/r/ associate-/l* add-log-exp
4×expm1-log1p-u flip3-- associate-*l* flip-- log1p-expm1-u
3×cbrt-undiv div-exp div-inv
2×frac-times frac-2neg flip3-+ associate-*l/ prod-exp clear-num cbrt-unprod flip-+ unswap-sqr
1×sub-neg fma-neg diff-log associate-*r/ prod-diff pow-prod-down *-commutative distribute-lft-out
Counts
4 → 131
Calls
4 calls:
3.0ms
(- (* z z) (* y y))
23.0ms
(* (+ z y) (/ y (- (* z z) (* y y))))
5.0ms
(/ y (- (* z z) (* y y)))
6.0ms
(/ y (- (* z z) (* y y)))

series237.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(- (* z z) (* y y))
64.0ms
(* (+ z y) (/ y (- (* z z) (* y y))))
65.0ms
(/ y (- (* z z) (* y y)))
66.0ms
(/ y (- (* z z) (* y y)))

simplify76.0ms

Algorithm
egg-herbie
Counts
143 → 143
Iterations

Useful iterations: 2 (64.0ms)

IterNodesCost
0351981
12034888
25001841

prune490.0ms

Filtered
143 candidates to 114 candidates (79.7%)
Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes56.0ms

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

end0.0ms

sample378.0ms

Algorithm
intervals
Results
192.0ms8339×body80valid