Details

Time bar (total: 3.2s)

sample22.0ms

Algorithm
intervals
Results
10.0ms324×body80valid

simplify18.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0155
1255
2395
3585
4735
5875
61025
71085
81105
91105

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: 5.5b

Counts
2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ y z) (/ t (- 1.0 z)))
0.0b
(/ t (- 1.0 z))
5.3b
(* x (- (/ y z) (/ t (- 1.0 z))))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
18×frac-sub
13×frac-2neg clear-num
11×associate-*r/
3×sub-neg flip3-- flip--
2×distribute-rgt-in distribute-lft-in associate-/r/
1×*-commutative div-inv
Counts
3 → 34
Calls
3 calls:
5.0ms
(- (/ y z) (/ t (- 1.0 z)))
2.0ms
(/ t (- 1.0 z))
7.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

series116.0ms

Counts
3 → 9
Calls
3 calls:
33.0ms
(- (/ y z) (/ t (- 1.0 z)))
33.0ms
(/ t (- 1.0 z))
50.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

simplify46.0ms

Algorithm
egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0297306
11098285
25001279

prune118.0ms

Filtered
43 candidates to 34 candidates (79.1%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New331043
Fresh000
Picked101
Done000
Total341044

Merged error: 0.0b

Counts
44 → 10

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ t (- 1.0 z))
0.0b
(+ (/ y z) (- (/ t (- 1.0 z))))
5.3b
(* x (+ (/ y z) (- (/ t (- 1.0 z)))))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
18×frac-add distribute-neg-frac
13×frac-2neg clear-num
11×associate-*r/
3×+-commutative
2×distribute-rgt-in distribute-lft-in flip3-+ associate-/r/ flip-+
1×neg-sub0 associate-+r- flip3-- unsub-neg *-commutative flip-- div-inv
Counts
3 → 36
Calls
3 calls:
2.0ms
(/ t (- 1.0 z))
5.0ms
(+ (/ y z) (- (/ t (- 1.0 z))))
8.0ms
(* x (+ (/ y z) (- (/ t (- 1.0 z)))))

series115.0ms

Counts
3 → 9
Calls
3 calls:
33.0ms
(/ t (- 1.0 z))
33.0ms
(+ (/ y z) (- (/ t (- 1.0 z))))
50.0ms
(* x (+ (/ y z) (- (/ t (- 1.0 z)))))

simplify44.0ms

Algorithm
egg-herbie
Counts
45 → 45
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0375322
11406286
25001278

prune129.0ms

Filtered
45 candidates to 36 candidates (80.0%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New42345
Fresh279
Picked011
Done000
Total441155

Merged error: 0.0b

Counts
55 → 11

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ y z) (* (/ t (- (* 1.0 1.0) (* z z))) (+ 1.0 z)))
2.9b
(/ t (- (* 1.0 1.0) (* z z)))
5.3b
(* x (- (/ y z) (* (/ t (- (* 1.0 1.0) (* z z))) (+ 1.0 z))))
9.4b
(* (/ t (- (* 1.0 1.0) (* z z))) (+ 1.0 z))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
138×frac-sub
98×frac-times
90×*-commutative
88×associate-/r* difference-of-squares
85×associate-*r/
68×frac-2neg clear-num
56×flip3-+ flip-+
49×associate-*l/
6×distribute-rgt-in distribute-lft-in
4×+-commutative flip3-- associate-/r/ flip-- associate--r+
3×sub-neg associate-*l*
2×div-inv
Counts
4 → 193
Calls
4 calls:
14.0ms
(- (/ y z) (* (/ t (- (* 1.0 1.0) (* z z))) (+ 1.0 z)))
5.0ms
(/ t (- (* 1.0 1.0) (* z z)))
19.0ms
(* x (- (/ y z) (* (/ t (- (* 1.0 1.0) (* z z))) (+ 1.0 z))))
8.0ms
(* (/ t (- (* 1.0 1.0) (* z z))) (+ 1.0 z))

series339.0ms

Counts
4 → 12
Calls
4 calls:
80.0ms
(- (/ y z) (* (/ t (- (* 1.0 1.0) (* z z))) (+ 1.0 z)))
66.0ms
(/ t (- (* 1.0 1.0) (* z z)))
133.0ms
(* x (- (/ y z) (* (/ t (- (* 1.0 1.0) (* z z))) (+ 1.0 z))))
60.0ms
(* (/ t (- (* 1.0 1.0) (* z z))) (+ 1.0 z))

simplify64.0ms

Algorithm
egg-herbie
Counts
205 → 205
Iterations

Useful iterations: 1 (30.0ms)

IterNodesCost
010702889
150022798

prune477.0ms

Filtered
205 candidates to 123 candidates (60.0%)
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New2032205
Fresh279
Picked011
Done011
Total20511216

Merged error: 0.0b

Counts
216 → 11

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ y z) (* t (/ (+ 1.0 z) (- (* 1.0 1.0) (* z z)))))
0.1b
(* t (/ (+ 1.0 z) (- (* 1.0 1.0) (* z z))))
5.3b
(* x (- (/ y z) (* t (/ (+ 1.0 z) (- (* 1.0 1.0) (* z z))))))
17.7b
(/ (+ 1.0 z) (- (* 1.0 1.0) (* z z)))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
95×associate-*r/
60×frac-sub
35×clear-num
34×*-commutative
32×associate-/r* difference-of-squares
28×frac-2neg
16×associate-/l/
8×flip3-+ flip-+
7×un-div-inv
4×flip3-- associate-/r/ flip--
3×sub-neg associate-*r*
2×distribute-rgt-in distribute-lft-in div-inv
Counts
4 → 96
Calls
4 calls:
11.0ms
(- (/ y z) (* t (/ (+ 1.0 z) (- (* 1.0 1.0) (* z z)))))
8.0ms
(* t (/ (+ 1.0 z) (- (* 1.0 1.0) (* z z))))
18.0ms
(* x (- (/ y z) (* t (/ (+ 1.0 z) (- (* 1.0 1.0) (* z z))))))
7.0ms
(/ (+ 1.0 z) (- (* 1.0 1.0) (* z z)))

series313.0ms

Counts
4 → 12
Calls
4 calls:
87.0ms
(- (/ y z) (* t (/ (+ 1.0 z) (- (* 1.0 1.0) (* z z)))))
60.0ms
(* t (/ (+ 1.0 z) (- (* 1.0 1.0) (* z z))))
132.0ms
(* x (- (/ y z) (* t (/ (+ 1.0 z) (- (* 1.0 1.0) (* z z))))))
33.0ms
(/ (+ 1.0 z) (- (* 1.0 1.0) (* z z)))

simplify99.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (82.0ms)

IterNodesCost
05741058
12768897
25002883

prune215.0ms

Filtered
108 candidates to 63 candidates (58.3%)
Pruning

11 alts after pruning (8 fresh and 3 done)

PrunedKeptTotal
New1071108
Fresh178
Picked011
Done022
Total10811119

Merged error: 0.0b

Counts
119 → 11

regimes177.0ms

Accuracy

24.4% (3.6b remaining)

Error of 3.7b against oracle of 0.0b and baseline of 4.8b

bsearch84.0ms

Steps
ItersRangePoint
10
1.781114052660653e-126
4.9053706167200877e-110
5.995679259709524e-116
5
-4.813597652954098e-16
-1.2209559826642226e-16
-2.630876284636305e-16

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03715
14115
24215
34215

end0.0ms

sample595.0ms

Algorithm
intervals
Results
312.0ms10206×body80valid