Details

Time bar (total: 6.4s)

sample26.0ms

Algorithm
intervals
Results
10.0ms273×body80valid

simplify111.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0238
1378
2658
3948
41088
51328
62018
73598
88258
932128
1050018

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 24.7b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(* z (- t a))
0.0b
(* z (- b y))
0.6b
(+ (* x y) (* z (- t a)))
23.9b
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

rewrite87.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
20×*-un-lft-identity
16×add-cube-cbrt
10×add-exp-log associate-*r* add-cbrt-cube
9×times-frac
8×pow1
6×distribute-rgt-in sub-neg distribute-lft-in associate-*l* add-log-exp
4×associate-+r+ associate-*r/
3×flip3-+ associate-/r* flip-+ associate-/l*
2×flip3-- pow-prod-down prod-exp associate-/r/ *-commutative flip-- cbrt-unprod associate-/l/ distribute-lft-out-- difference-of-squares unswap-sqr
1×cbrt-undiv +-commutative frac-2neg div-exp clear-num sum-log div-inv
Counts
4 → 98
Calls
4 calls:
22.0ms
(* z (- t a))
19.0ms
(* z (- b y))
9.0ms
(+ (* x y) (* z (- t a)))
34.0ms
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

series381.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(* z (- t a))
33.0ms
(* z (- b y))
36.0ms
(+ (* x y) (* z (- t a)))
282.0ms
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

simplify49.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0401714
11759659
25001659

prune283.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 24.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(* z (- b y))
0.2b
(+ (* x y) (* t z))
1.8b
(+ (+ (* x y) (* t z)) (* z (- a)))
23.9b
(/ (+ (+ (* x y) (* t z)) (* z (- a))) (+ y (* z (- b y))))

rewrite130.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
16×*-un-lft-identity
14×add-cube-cbrt
11×add-log-exp
9×times-frac
8×add-exp-log add-cbrt-cube
6×pow1
5×associate-*r*
4×flip3-+ sum-log distribute-rgt-neg-out flip-+
3×associate-*l* associate-/r* associate-/l*
2×+-commutative distribute-rgt-in sub-neg distribute-lft-in div-sub associate-*r/ unsub-neg associate-/r/ associate-/l/
1×cbrt-undiv associate-+l+ flip3-- frac-2neg div-exp pow-prod-down prod-exp clear-num *-commutative flip-- cbrt-unprod div-inv distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 85
Calls
4 calls:
19.0ms
(* z (- b y))
7.0ms
(+ (* x y) (* t z))
28.0ms
(+ (+ (* x y) (* t z)) (* z (- a)))
74.0ms
(/ (+ (+ (* x y) (* t z)) (* z (- a))) (+ y (* z (- b y))))

series353.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(* z (- b y))
29.0ms
(+ (* x y) (* t z))
38.0ms
(+ (+ (* x y) (* t z)) (* z (- a)))
256.0ms
(/ (+ (+ (* x y) (* t z)) (* z (- a))) (+ y (* z (- b y))))

simplify55.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0402838
11845762
25002757

prune281.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 24.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b
(+ (* t z) (* x y))
0.4b
(/ 1 (/ (+ y (* z (- b y))) (- (+ (* t z) (* x y)) (* a z))))
1.8b
(- (+ (* t z) (* x y)) (* a z))
23.7b
(/ (+ y (* z (- b y))) (- (+ (* t z) (* x y)) (* a z)))

rewrite148.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
56×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×associate-/r*
17×add-exp-log
11×associate-/r/ add-cbrt-cube add-log-exp
8×div-exp
6×flip3-- flip-- div-inv associate-/l*
5×pow1
4×cbrt-undiv
2×rec-exp frac-2neg flip3-+ diff-log 1-exp clear-num sum-log flip-+ associate-/l/
1×+-commutative sub-neg pow-flip associate--l+ inv-pow
Counts
4 → 140
Calls
4 calls:
7.0ms
(+ (* t z) (* x y))
48.0ms
(/ 1 (/ (+ y (* z (- b y))) (- (+ (* t z) (* x y)) (* a z))))
35.0ms
(- (+ (* t z) (* x y)) (* a z))
52.0ms
(/ (+ y (* z (- b y))) (- (+ (* t z) (* x y)) (* a z)))

series1.0s

Counts
4 → 12
Calls
4 calls:
31.0ms
(+ (* t z) (* x y))
737.0ms
(/ 1 (/ (+ y (* z (- b y))) (- (+ (* t z) (* x y)) (* a z))))
35.0ms
(- (+ (* t z) (* x y)) (* a z))
236.0ms
(/ (+ y (* z (- b y))) (- (+ (* t z) (* x y)) (* a z)))

simplify75.0ms

Algorithm
egg-herbie
Counts
152 → 152
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
05472233
125662060
250011974

prune366.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 24.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b
(+ (* t z) (* x y))
0.9b
(/ 1 (- (+ (* t z) (* x y)) (* a z)))
1.8b
(- (+ (* t z) (* x y)) (* a z))
23.0b
(/ (/ 1 (+ y (* z (- b y)))) (/ 1 (- (+ (* t z) (* x y)) (* a z))))

rewrite163.0ms

Algorithm
rewrite-expression-head
Rules
522×times-frac
236×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
67×associate-/r/
48×add-exp-log
34×div-exp div-inv
18×flip3-- associate-/r* add-cbrt-cube flip-- associate-/l*
17×flip3-+ flip-+
11×add-log-exp
9×cbrt-undiv rec-exp 1-exp
5×pow1
2×frac-2neg diff-log clear-num sum-log
1×+-commutative sub-neg pow-flip associate--l+ associate-/l/ inv-pow
Counts
4 → 345
Calls
4 calls:
8.0ms
(+ (* t z) (* x y))
37.0ms
(/ 1 (- (+ (* t z) (* x y)) (* a z)))
36.0ms
(- (+ (* t z) (* x y)) (* a z))
60.0ms
(/ (/ 1 (+ y (* z (- b y)))) (/ 1 (- (+ (* t z) (* x y)) (* a z))))

series832.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(+ (* t z) (* x y))
31.0ms
(/ 1 (- (+ (* t z) (* x y)) (* a z)))
36.0ms
(- (+ (* t z) (* x y)) (* a z))
730.0ms
(/ (/ 1 (+ y (* z (- b y)))) (/ 1 (- (+ (* t z) (* x y)) (* a z))))

simplify93.0ms

Algorithm
egg-herbie
Counts
357 → 357
Iterations

Useful iterations: 1 (33.0ms)

IterNodesCost
016987620
150017077

prune755.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 24.0b

regimes458.0ms

Accuracy

0% (0.7b remaining)

Error of 22.5b against oracle of 21.8b and baseline of 22.5b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02510
12510

end0.0ms

sample699.0ms

Algorithm
intervals
Results
312.0ms8443×body80valid