Details

Time bar (total: 2.3s)

sample15.0ms

Algorithm
intervals
Results
7.0ms288×body80valid

simplify66.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0195
1295
2455
3565
4745
5865
61205
71365
81465
91505
101605
114465
1226955
1350015

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 7.9b

Counts
2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.1b
(* x (+ (/ x y) 1.0))
7.4b
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
12×*-un-lft-identity
9×add-exp-log add-cbrt-cube
8×add-sqr-sqrt
6×add-cube-cbrt
4×pow1 times-frac associate-*r/ associate-*r* associate-/r*
3×flip3-+ associate-*l* flip-+ distribute-lft-out
2×cbrt-undiv expm1-log1p-u div-exp prod-exp associate-/r/ cbrt-unprod log1p-expm1-u associate-/l/ add-log-exp
1×distribute-rgt-in frac-2neg distribute-lft-in pow-prod-down clear-num *-commutative div-inv associate-/l* unswap-sqr
Counts
2 → 54
Calls
2 calls:
9.0ms
(* x (+ (/ x y) 1.0))
12.0ms
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

series67.0ms

Counts
2 → 6
Calls
2 calls:
27.0ms
(* x (+ (/ x y) 1.0))
40.0ms
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

simplify44.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0306352
11568305
25001304

prune106.0ms

Filtered
60 candidates to 42 candidates (70.0%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New54660
Fresh000
Picked101
Done000
Total55661

Merged error: 0.0b

Counts
61 → 6

localize6.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
0.1b
(/ (+ x 1.0) (+ (/ x y) 1.0))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
155×*-un-lft-identity
146×times-frac
71×add-sqr-sqrt add-cube-cbrt
42×distribute-lft-out
26×associate-/r*
11×associate-/r/
9×add-exp-log add-cbrt-cube
7×associate-/l*
6×flip3-+ flip-+ div-inv
4×cbrt-undiv div-exp
2×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u associate-/l/ add-log-exp
Counts
2 → 150
Calls
2 calls:
13.0ms
(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
10.0ms
(/ (+ x 1.0) (+ (/ x y) 1.0))

series104.0ms

Counts
2 → 6
Calls
2 calls:
43.0ms
(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
60.0ms
(/ (+ x 1.0) (+ (/ x y) 1.0))

simplify71.0ms

Algorithm
egg-herbie
Counts
156 → 156
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
05041464
123901406
250021404

prune254.0ms

Filtered
156 candidates to 98 candidates (62.8%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New1533156
Fresh325
Picked101
Done000
Total1575162

Merged error: 0b

Counts
162 → 5

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (+ x 1.0))
0.1b
(* (/ x (+ x 1.0)) (+ (/ x y) 1.0))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
36×*-un-lft-identity
25×add-sqr-sqrt times-frac
20×add-cube-cbrt
18×associate-*l*
9×add-exp-log add-cbrt-cube
8×distribute-lft-out
4×pow1 flip3-+ associate-*r* associate-/r* associate-/r/ flip-+
3×associate-/l*
2×cbrt-undiv expm1-log1p-u frac-times associate-*r/ div-exp prod-exp cbrt-unprod log1p-expm1-u div-inv add-log-exp unswap-sqr
1×distribute-rgt-in frac-2neg distribute-lft-in pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 81
Calls
2 calls:
5.0ms
(/ x (+ x 1.0))
19.0ms
(* (/ x (+ x 1.0)) (+ (/ x y) 1.0))

series79.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(/ x (+ x 1.0))
43.0ms
(* (/ x (+ x 1.0)) (+ (/ x y) 1.0))

simplify55.0ms

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0474534
12069486
25001486

prune159.0ms

Filtered
87 candidates to 63 candidates (72.4%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New85287
Fresh224
Picked011
Done000
Total87592

Merged error: 0b

Counts
92 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ x (+ x 1.0))
0.2b
(* (/ x y) (/ x y))
1.0b
(* (/ x (+ x 1.0)) (- (* (/ x y) (/ x y)) (* 1.0 1.0)))
9.5b
(/ (* (/ x (+ x 1.0)) (- (* (/ x y) (/ x y)) (* 1.0 1.0))) (- (/ x y) 1.0))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
79×add-sqr-sqrt
73×times-frac
70×*-un-lft-identity
52×add-cube-cbrt
32×add-exp-log add-cbrt-cube
31×associate-*l*
17×associate-*r*
13×pow1 swap-sqr
10×cbrt-undiv div-exp associate-/r*
8×prod-exp cbrt-unprod
7×div-inv distribute-lft-out
6×associate-/r/ unswap-sqr
5×frac-times flip3-- associate-*r/ flip-- associate-/l/ difference-of-squares
4×expm1-log1p-u log1p-expm1-u associate-/l* add-log-exp
3×distribute-rgt-in distribute-lft-in associate-*l/
2×sub-neg frac-2neg flip3-+ prod-diff pow-prod-down clear-num *-commutative flip-+ distribute-lft-out--
1×pow2 pow-plus pow-sqr pow-prod-up
Counts
4 → 192
Calls
4 calls:
5.0ms
(/ x (+ x 1.0))
10.0ms
(* (/ x y) (/ x y))
17.0ms
(* (/ x (+ x 1.0)) (- (* (/ x y) (/ x y)) (* 1.0 1.0)))
20.0ms
(/ (* (/ x (+ x 1.0)) (- (* (/ x y) (/ x y)) (* 1.0 1.0))) (- (/ x y) 1.0))

series225.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(/ x (+ x 1.0))
25.0ms
(* (/ x y) (/ x y))
79.0ms
(* (/ x (+ x 1.0)) (- (* (/ x y) (/ x y)) (* 1.0 1.0)))
84.0ms
(/ (* (/ x (+ x 1.0)) (- (* (/ x y) (/ x y)) (* 1.0 1.0))) (- (/ x y) 1.0))

simplify48.0ms

Algorithm
egg-herbie
Counts
204 → 204
Iterations

Useful iterations: 1 (29.0ms)

IterNodesCost
09521729
150011515

prune399.0ms

Filtered
204 candidates to 140 candidates (68.6%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New2040204
Fresh033
Picked011
Done011
Total2045209

Merged error: 0b

Counts
209 → 5

regimes40.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0115
1115

end0.0ms

sample430.0ms

Algorithm
intervals
Results
268.0ms9130×body80valid