Details

Time bar (total: 2.5s)

sample11.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify7.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
063
163

prune1.0ms

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: 13.8b

Counts
2 → 1

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x x) 1.0)
13.8b
(/ x (+ (* x x) 1.0))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
4×add-exp-log add-cbrt-cube add-log-exp
3×associate-/r* associate-/l*
2×pow1 flip3-+ associate-/r/ flip-+
1×cbrt-undiv +-commutative frac-2neg div-exp clear-num sum-log div-inv
Counts
2 → 40
Calls
2 calls:
4.0ms
(+ (* x x) 1.0)
5.0ms
(/ x (+ (* x x) 1.0))

series93.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(+ (* x x) 1.0)
55.0ms
(/ x (+ (* x x) 1.0))

simplify109.0ms

Algorithm
egg-herbie
Counts
46 → 46
Iterations

Useful iterations: 2 (19.0ms)

IterNodesCost
0194267
1717245
23053242
35001242

prune77.0ms

Filtered
46 candidates to 37 candidates (80.4%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New43346
Fresh000
Picked011
Done000
Total43447

Merged error: 0b

Counts
47 → 4

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x x) 1.0)
2.8b
(/ x (+ (- (* 1.0 1.0)) (pow x 4)))
20.2b
(* (/ x (+ (- (* 1.0 1.0)) (pow x 4))) (- (* x x) 1.0))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
35×*-un-lft-identity
28×add-sqr-sqrt
25×times-frac
21×add-cube-cbrt
18×associate-*l*
10×add-exp-log add-cbrt-cube
7×distribute-lft-out
5×pow1 add-log-exp
4×associate-*r* associate-/r* associate-/r/
3×sub-neg flip3-- flip-- associate-/l*
2×cbrt-undiv distribute-rgt-in frac-times distribute-lft-in flip3-+ associate-*r/ div-exp prod-exp cbrt-unprod flip-+ div-inv difference-of-squares unswap-sqr
1×frac-2neg diff-log pow-prod-down associate-*l/ clear-num *-commutative
Counts
3 → 92
Calls
3 calls:
4.0ms
(- (* x x) 1.0)
8.0ms
(/ x (+ (- (* 1.0 1.0)) (pow x 4)))
19.0ms
(* (/ x (+ (- (* 1.0 1.0)) (pow x 4))) (- (* x x) 1.0))

series274.0ms

Counts
3 → 9
Calls
3 calls:
39.0ms
(- (* x x) 1.0)
133.0ms
(/ x (+ (- (* 1.0 1.0)) (pow x 4)))
102.0ms
(* (/ x (+ (- (* 1.0 1.0)) (pow x 4))) (- (* x x) 1.0))

simplify64.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0446923
12257833
25002818

prune178.0ms

Filtered
101 candidates to 72 candidates (71.3%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1010101
Fresh022
Picked011
Done011
Total1014105

Merged error: 0b

Counts
105 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ 1 x) (- (/ 1.0 (pow x 3)) (* 1.0 (/ 1 (pow x 5)))))
0.2b
(/ 1 (pow x 5))
0.3b
(/ 1.0 (pow x 3))
20.8b
(- (/ 1.0 (pow x 3)) (* 1.0 (/ 1 (pow x 5))))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
59×times-frac
52×add-sqr-sqrt
49×*-un-lft-identity
45×add-cube-cbrt
24×unpow-prod-down
19×associate-/r*
18×add-exp-log
12×cube-prod
11×add-log-exp
9×div-exp
8×frac-sub add-cbrt-cube sqr-pow
6×associate-/l*
4×pow1 cube-mult pow-to-exp diff-log unpow3 pow-exp div-inv
3×sub-neg rec-exp flip3-- 1-exp flip-- distribute-lft-out-- difference-of-squares
2×cbrt-undiv frac-2neg associate-*r/ clear-num un-div-inv associate--r+
1×pow-flip inv-pow associate--r-
Counts
4 → 158
Calls
4 calls:
18.0ms
(- (/ 1 x) (- (/ 1.0 (pow x 3)) (* 1.0 (/ 1 (pow x 5)))))
5.0ms
(/ 1 (pow x 5))
5.0ms
(/ 1.0 (pow x 3))
13.0ms
(- (/ 1.0 (pow x 3)) (* 1.0 (/ 1 (pow x 5))))

series260.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(- (/ 1 x) (- (/ 1.0 (pow x 3)) (* 1.0 (/ 1 (pow x 5)))))
42.0ms
(/ 1 (pow x 5))
41.0ms
(/ 1.0 (pow x 3))
129.0ms
(- (/ 1.0 (pow x 3)) (* 1.0 (/ 1 (pow x 5))))

simplify84.0ms

Algorithm
egg-herbie
Counts
170 → 170
Iterations

Useful iterations: 2 (70.0ms)

IterNodesCost
05291103
12934996
25002991

prune235.0ms

Filtered
170 candidates to 89 candidates (52.4%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1700170
Fresh011
Picked011
Done022
Total1704174

Merged error: 0b

Counts
174 → 4

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x x) 1.0)
0.1b
(pow (/ x (+ (* x x) 1.0)) 3)
13.8b
(/ x (+ (* x x) 1.0))
40.9b
(cbrt (pow (/ x (+ (* x x) 1.0)) 3))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
45×times-frac
42×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
36×cbrt-prod
30×unpow-prod-down cube-prod
10×associate-/r/
9×add-exp-log add-cbrt-cube
6×flip3-+ flip-+ add-log-exp
5×pow1 div-inv
3×pow-unpow associate-/r* associate-/l*
2×cbrt-undiv cube-div cube-mult unpow3 div-exp pow-exp rem-cube-cbrt sqr-pow
1×+-commutative pow-to-exp cbrt-div pow-pow frac-2neg pow1/3 clear-num sum-log rem-cbrt-cube
Counts
4 → 136
Calls
4 calls:
4.0ms
(+ (* x x) 1.0)
11.0ms
(pow (/ x (+ (* x x) 1.0)) 3)
6.0ms
(/ x (+ (* x x) 1.0))
8.0ms
(cbrt (pow (/ x (+ (* x x) 1.0)) 3))

series277.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(+ (* x x) 1.0)
115.0ms
(pow (/ x (+ (* x x) 1.0)) 3)
55.0ms
(/ x (+ (* x x) 1.0))
74.0ms
(cbrt (pow (/ x (+ (* x x) 1.0)) 3))

simplify67.0ms

Algorithm
egg-herbie
Counts
148 → 148
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
05041076
12285991
25003976

prune181.0ms

Filtered
148 candidates to 83 candidates (56.1%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New1480148
Fresh000
Picked011
Done033
Total1484152

Merged error: 0b

Counts
152 → 4

regimes62.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 15.1b

bsearch62.0ms

Steps
ItersRangePoint
8
1.3894494120209264
29774.780359327975
435.80824600657
9
-3141188.981794727
-6.238959787773506
-2714551.562304095

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03916
13916

end0.0ms

sample261.0ms

Algorithm
intervals
Results
171.0ms8000×body80valid

Profiling

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