Details

Time bar (total: 5.3s)

sample23.0ms

Algorithm
intervals
Results
6.0ms256×pre80true
5.0ms256×body80valid

simplify15.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0194
1584
21784
33514
44014
54014

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize10.0ms

Local error

Found 3 expressions with local error:

0.2b
(+ (+ e d) c)
0.2b
(+ (+ (+ e d) c) b)
0.2b
(+ (+ (+ (+ e d) c) b) a)

rewrite327.0ms

Algorithm
rewrite-expression-head
Rules
31×*-un-lft-identity add-log-exp
19×sum-log distribute-lft-out
3×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt associate-+l+ flip3-+ add-cbrt-cube flip-+
Counts
3 → 51
Calls
3 calls:
13.0ms
(+ (+ e d) c)
60.0ms
(+ (+ (+ e d) c) b)
251.0ms
(+ (+ (+ (+ e d) c) b) a)

series99.0ms

Counts
3 → 9
Calls
3 calls:
15.0ms
(+ (+ e d) c)
29.0ms
(+ (+ (+ e d) c) b)
54.0ms
(+ (+ (+ (+ e d) c) b) a)

simplify30.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0234271
11006262
25002262

prune125.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.2b
(+ (+ e d) (+ c b))
0.2b
(+ (+ (+ e d) (+ c b)) a)

rewrite115.0ms

Algorithm
rewrite-expression-head
Rules
32×*-un-lft-identity add-log-exp
21×sum-log distribute-lft-out
6×flip3-+ flip-+
4×frac-add
2×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt associate-+l+ add-cbrt-cube
1×associate-+r+
Counts
2 → 45
Calls
2 calls:
19.0ms
(+ (+ e d) (+ c b))
95.0ms
(+ (+ (+ e d) (+ c b)) a)

series84.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(+ (+ e d) (+ c b))
54.0ms
(+ (+ (+ e d) (+ c b)) a)

simplify38.0ms

Algorithm
egg-herbie
Counts
51 → 51
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0343314
11354305
25001305

prune113.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.3b
(- (+ (+ e d) (+ c b)) a)
0.3b
(- (* (+ (+ e d) (+ c b)) (+ (+ e d) (+ c b))) (* a a))
0.4b
(/ (- (* (+ (+ e d) (+ c b)) (+ (+ e d) (+ c b))) (* a a)) (- (+ (+ e d) (+ c b)) a))
0.5b
(* (+ (+ e d) (+ c b)) (+ (+ e d) (+ c b)))

rewrite513.0ms

Algorithm
rewrite-expression-head
Rules
283×*-un-lft-identity
144×distribute-lft-out
70×flip3-+ flip-+
56×frac-add
37×add-sqr-sqrt
36×frac-times times-frac
30×distribute-lft-out--
27×swap-sqr
24×add-log-exp
23×add-cube-cbrt
17×difference-of-squares
11×pow1
9×associate-/r*
8×add-exp-log sum-log add-cbrt-cube
7×associate-*r* associate-*l*
6×diff-log associate-*r/ associate-*l/
4×flip3-- flip-- associate-/l*
3×associate--l+
2×distribute-rgt-in sub-neg distribute-lft-in associate-/r/ associate-/l/
1×cbrt-undiv pow2 frac-2neg pow-plus div-sub div-exp pow-prod-down prod-exp clear-num pow-sqr *-commutative pow-prod-up cbrt-unprod div-inv unswap-sqr
Counts
4 → 211
Calls
4 calls:
129.0ms
(- (+ (+ e d) (+ c b)) a)
42.0ms
(- (* (+ (+ e d) (+ c b)) (+ (+ e d) (+ c b))) (* a a))
205.0ms
(/ (- (* (+ (+ e d) (+ c b)) (+ (+ e d) (+ c b))) (* a a)) (- (+ (+ e d) (+ c b)) a))
120.0ms
(* (+ (+ e d) (+ c b)) (+ (+ e d) (+ c b)))

series1.1s

Counts
4 → 12
Calls
4 calls:
58.0ms
(- (+ (+ e d) (+ c b)) a)
619.0ms
(- (* (+ (+ e d) (+ c b)) (+ (+ e d) (+ c b))) (* a a))
285.0ms
(/ (- (* (+ (+ e d) (+ c b)) (+ (+ e d) (+ c b))) (* a a)) (- (+ (+ e d) (+ c b)) a))
157.0ms
(* (+ (+ e d) (+ c b)) (+ (+ e d) (+ c b)))

simplify61.0ms

Algorithm
egg-herbie
Counts
223 → 223
Iterations

Useful iterations: 1 (29.0ms)

IterNodesCost
010943730
150023562

prune493.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b
(- (* (+ (+ e d) c) (+ (+ e d) c)) (* b b))
0.3b
(- (+ (+ e d) c) b)
0.3b
(/ (- (* (+ (+ e d) c) (+ (+ e d) c)) (* b b)) (- (+ (+ e d) c) b))
0.5b
(* (+ (+ e d) c) (+ (+ e d) c))

rewrite315.0ms

Algorithm
rewrite-expression-head
Rules
119×*-un-lft-identity
42×distribute-lft-out
35×add-sqr-sqrt
28×times-frac
21×add-cube-cbrt
18×distribute-lft-out--
15×add-log-exp difference-of-squares
11×pow1 swap-sqr
8×add-exp-log add-cbrt-cube
7×associate-/r*
6×flip3-+ flip-+
5×associate-*r* associate-*l*
4×frac-times flip3-- diff-log flip-- associate-/l*
3×associate--l+ sum-log
2×distribute-rgt-in sub-neg distribute-lft-in associate-*r/ associate-*l/ associate-/r/ associate-/l/
1×cbrt-undiv pow2 frac-2neg pow-plus div-sub div-exp pow-prod-down prod-exp clear-num pow-sqr *-commutative pow-prod-up cbrt-unprod div-inv unswap-sqr
Counts
4 → 137
Calls
4 calls:
23.0ms
(- (* (+ (+ e d) c) (+ (+ e d) c)) (* b b))
81.0ms
(- (+ (+ e d) c) b)
127.0ms
(/ (- (* (+ (+ e d) c) (+ (+ e d) c)) (* b b)) (- (+ (+ e d) c) b))
79.0ms
(* (+ (+ e d) c) (+ (+ e d) c))

series443.0ms

Counts
4 → 12
Calls
4 calls:
221.0ms
(- (* (+ (+ e d) c) (+ (+ e d) c)) (* b b))
32.0ms
(- (+ (+ e d) c) b)
134.0ms
(/ (- (* (+ (+ e d) c) (+ (+ e d) c)) (* b b)) (- (+ (+ e d) c) b))
55.0ms
(* (+ (+ e d) c) (+ (+ e d) c))

simplify95.0ms

Algorithm
egg-herbie
Counts
149 → 149
Iterations

Useful iterations: 2 (80.0ms)

IterNodesCost
05311527
128671373
250011326

prune319.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes287.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01614
11614

end0.0ms

sample592.0ms

Algorithm
intervals
Results
200.0ms8000×pre80true
168.0ms8000×body80valid