Details

Time bar (total: 4.3s)

sample63.0ms

Algorithm
intervals
Results
42.0ms647×body80valid

simplify73.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (71.0ms)

IterNodesCost
0505429

prune7.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 0.1b

Counts
2 → 1

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a)))))
0.1b
(* (* a a) (- 1.0 a))
0.3b
(pow (+ (* a a) (* b b)) 2.0)
1.0b
(* (* b b) (+ 3.0 a))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
15×pow1 add-exp-log
14×add-cbrt-cube
12×add-sqr-sqrt *-un-lft-identity
9×associate-*r*
8×add-cube-cbrt
6×pow-prod-down prod-exp cbrt-unprod add-log-exp
4×distribute-rgt-in distribute-lft-in associate-*r/
3×unpow-prod-down pow-unpow
2×sub-neg associate-+r+ flip3-+ associate-*l* *-commutative flip-+ unswap-sqr
1×+-commutative pow-to-exp flip3-- pow-pow pow-exp sum-log flip-- distribute-lft-out distribute-lft-out-- difference-of-squares sqr-pow
Counts
4 → 81
Calls
4 calls:
9.0ms
(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a)))))
8.0ms
(* (* a a) (- 1.0 a))
5.0ms
(pow (+ (* a a) (* b b)) 2.0)
8.0ms
(* (* b b) (+ 3.0 a))

series58.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a)))))
6.0ms
(* (* a a) (- 1.0 a))
22.0ms
(pow (+ (* a a) (* b b)) 2.0)
6.0ms
(* (* b b) (+ 3.0 a))

simplify33.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 0 (22.0ms)

IterNodesCost
056661219

prune142.0ms

Filtered
64 candidates to 93 candidates (-45.3%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New90393
Fresh000
Picked011
Done000
Total90494

Merged error: 0.0b

Counts
94 → 4

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (pow b 4) (+ (* (* b b) (* (* a a) 2)) (pow a 4)))
0.0b
(+ (* (* b b) (* (* a a) 2)) (pow a 4))
2.1b
(* (* b b) (* (* a a) 2))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
24×pow1 add-exp-log add-cbrt-cube
15×pow-prod-down prod-exp cbrt-unprod
10×add-log-exp
5×*-un-lft-identity
4×sum-log
3×add-sqr-sqrt add-cube-cbrt
2×+-commutative flip3-+ flip-+
1×associate-+r+ associate-*r* associate-*l* *-commutative distribute-lft-out
Counts
3 → 53
Calls
3 calls:
14.0ms
(+ (pow b 4) (+ (* (* b b) (* (* a a) 2)) (pow a 4)))
11.0ms
(+ (* (* b b) (* (* a a) 2)) (pow a 4))
10.0ms
(* (* b b) (* (* a a) 2))

series34.0ms

Counts
3 → 9
Calls
3 calls:
12.0ms
(+ (pow b 4) (+ (* (* b b) (* (* a a) 2)) (pow a 4)))
15.0ms
(+ (* (* b b) (* (* a a) 2)) (pow a 4))
8.0ms
(* (* b b) (* (* a a) 2))

simplify37.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 0 (31.0ms)

IterNodesCost
05336856

prune82.0ms

Filtered
34 candidates to 62 candidates (-82.4%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New62062
Fresh022
Picked011
Done011
Total62466

Merged error: 0.0b

Counts
66 → 4

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 2.0 (pow b 2.0))
0.1b
(* (* a a) (- 1.0 a))
1.0b
(* (* b b) (+ 3.0 a))
2.1b
(* (* a a) (* 2.0 (pow b 2.0)))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
43×add-exp-log
28×add-cbrt-cube
27×prod-exp
19×pow1
18×add-sqr-sqrt
17×associate-*r*
15×cbrt-unprod
13×*-un-lft-identity
9×add-cube-cbrt pow-prod-down
6×associate-*l*
5×unswap-sqr
4×unpow-prod-down associate-*r/ *-commutative add-log-exp
3×distribute-rgt-in pow-to-exp distribute-lft-in pow-exp
2×sub-neg sqr-pow
1×flip3-- flip3-+ flip-- flip-+ distribute-lft-out distribute-lft-out-- difference-of-squares
Counts
4 → 100
Calls
4 calls:
5.0ms
(* 2.0 (pow b 2.0))
8.0ms
(* (* a a) (- 1.0 a))
8.0ms
(* (* b b) (+ 3.0 a))
8.0ms
(* (* a a) (* 2.0 (pow b 2.0)))

series113.0ms

Counts
4 → 12
Calls
4 calls:
62.0ms
(* 2.0 (pow b 2.0))
5.0ms
(* (* a a) (- 1.0 a))
6.0ms
(* (* b b) (+ 3.0 a))
39.0ms
(* (* a a) (* 2.0 (pow b 2.0)))

simplify54.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
04961956
14961956

prune165.0ms

Filtered
65 candidates to 112 candidates (-72.3%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1120112
Fresh011
Picked011
Done022
Total1124116

Merged error: 0.0b

Counts
116 → 4

localize28.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (+ (* b (* b (+ 3.0 a))) (* a (* a (- 1.0 a)))) (* 4.0 (+ (* b (* b (+ 3.0 a))) (* a (* a (- 1.0 a))))))
0.3b
(pow (+ (* b b) (* a a)) 2.0)
4.0b
(- (pow (+ (* b b) (* a a)) (* 2.0 2)) (* 4.0 (* (+ (* b (* b (+ 3.0 a))) (* a (* a (- 1.0 a)))) (* 4.0 (+ (* b (* b (+ 3.0 a))) (* a (* a (- 1.0 a))))))))
33.2b
(/ (- (pow (+ (* b b) (* a a)) (* 2.0 2)) (* 4.0 (* (+ (* b (* b (+ 3.0 a))) (* a (* a (- 1.0 a)))) (* 4.0 (+ (* b (* b (+ 3.0 a))) (* a (* a (- 1.0 a)))))))) (- (pow (+ (* b b) (* a a)) 2.0) (* 4.0 (+ (* b (* b (+ 3.0 a))) (* a (* a (- 1.0 a)))))))

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
272×associate-*r/
56×frac-add
42×flip3-+ flip-+
36×frac-times
31×flip3-- flip--
16×distribute-rgt-in distribute-lft-in
15×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
12×add-exp-log
11×add-cbrt-cube
10×pow1
9×times-frac
8×associate--r+
6×associate-*l/ add-log-exp
3×unpow-prod-down pow-unpow associate-*l* pow-prod-down prod-exp associate-/r* cbrt-unprod associate-/l*
2×associate-/r/ associate-/l/
1×cbrt-undiv pow-to-exp sub-neg pow-pow frac-2neg diff-log div-sub div-exp associate-*r* pow-exp clear-num *-commutative div-inv sqr-pow
Counts
4 → 139
Calls
4 calls:
28.0ms
(* (+ (* b (* b (+ 3.0 a))) (* a (* a (- 1.0 a)))) (* 4.0 (+ (* b (* b (+ 3.0 a))) (* a (* a (- 1.0 a))))))
5.0ms
(pow (+ (* b b) (* a a)) 2.0)
8.0ms
(- (pow (+ (* b b) (* a a)) (* 2.0 2)) (* 4.0 (* (+ (* b (* b (+ 3.0 a))) (* a (* a (- 1.0 a)))) (* 4.0 (+ (* b (* b (+ 3.0 a))) (* a (* a (- 1.0 a))))))))
15.0ms
(/ (- (pow (+ (* b b) (* a a)) (* 2.0 2)) (* 4.0 (* (+ (* b (* b (+ 3.0 a))) (* a (* a (- 1.0 a)))) (* 4.0 (+ (* b (* b (+ 3.0 a))) (* a (* a (- 1.0 a)))))))) (- (pow (+ (* b b) (* a a)) 2.0) (* 4.0 (+ (* b (* b (+ 3.0 a))) (* a (* a (- 1.0 a)))))))

series243.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(* (+ (* b (* b (+ 3.0 a))) (* a (* a (- 1.0 a)))) (* 4.0 (+ (* b (* b (+ 3.0 a))) (* a (* a (- 1.0 a))))))
22.0ms
(pow (+ (* b b) (* a a)) 2.0)
91.0ms
(- (pow (+ (* b b) (* a a)) (* 2.0 2)) (* 4.0 (* (+ (* b (* b (+ 3.0 a))) (* a (* a (- 1.0 a)))) (* 4.0 (+ (* b (* b (+ 3.0 a))) (* a (* a (- 1.0 a))))))))
101.0ms
(/ (- (pow (+ (* b b) (* a a)) (* 2.0 2)) (* 4.0 (* (+ (* b (* b (+ 3.0 a))) (* a (* a (- 1.0 a)))) (* 4.0 (+ (* b (* b (+ 3.0 a))) (* a (* a (- 1.0 a)))))))) (- (pow (+ (* b b) (* a a)) 2.0) (* 4.0 (+ (* b (* b (+ 3.0 a))) (* a (* a (- 1.0 a)))))))

simplify63.0ms

Algorithm
egg-herbie
Counts
151 → 151
Iterations

Useful iterations: 0 (24.0ms)

IterNodesCost
052099710

prune662.0ms

Filtered
109 candidates to 151 candidates (-38.5%)
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New1501151
Fresh000
Picked011
Done033
Total1505155

Merged error: 0b

Counts
155 → 5

regimes274.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04329
14329

end0.0ms

sample1.9s

Algorithm
intervals
Results
1.3s20707×body80valid

Profiling

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