Details

Time bar (total: 5.5s)

sample72.0ms

Algorithm
intervals
Results
45.0ms620×body80valid

simplify96.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05315
116115
245915
3132315
4299215
5500115

prune5.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.2b

Counts
2 → 1

localize16.0ms

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) (- 1.0 (* 3.0 a))))))
0.1b
(* (* a a) (+ 1.0 a))
0.3b
(pow (+ (* a a) (* b b)) 2.0)
0.6b
(* (* b b) (- 1.0 (* 3.0 a)))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
15×pow1 add-exp-log
14×add-cbrt-cube
10×add-sqr-sqrt *-un-lft-identity
8×add-cube-cbrt
7×associate-*r*
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 sqr-pow
Counts
4 → 79
Calls
4 calls:
7.0ms
(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a))))))
7.0ms
(* (* a a) (+ 1.0 a))
4.0ms
(pow (+ (* a a) (* b b)) 2.0)
7.0ms
(* (* b b) (- 1.0 (* 3.0 a)))

series59.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a))))))
5.0ms
(* (* a a) (+ 1.0 a))
24.0ms
(pow (+ (* a a) (* b b)) 2.0)
7.0ms
(* (* b b) (- 1.0 (* 3.0 a)))

simplify72.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
0547721
12714641
25001637

prune558.0ms

Filtered
91 candidates to 61 candidates (33.0%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New86591
Fresh000
Picked101
Done000
Total87592

Merged error: 0.0b

Counts
92 → 5

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (pow (+ (* a a) (* b b)) 2.0) (* (* (* a a) (+ 1.0 a)) 4.0))
0.1b
(* (* a a) (+ 1.0 a))
0.3b
(pow (+ (* a a) (* b b)) 2.0)
0.6b
(* (* b b) (- 1.0 (* 3.0 a)))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
15×pow1 add-exp-log
14×add-cbrt-cube
10×add-sqr-sqrt *-un-lft-identity
8×add-cube-cbrt
7×associate-*r*
6×pow-prod-down prod-exp cbrt-unprod add-log-exp
4×associate-*r/
3×distribute-rgt-in unpow-prod-down pow-unpow distribute-lft-in
2×sub-neg flip3-+ associate-*l* *-commutative flip-+ unswap-sqr
1×+-commutative pow-to-exp flip3-- pow-pow pow-exp sum-log flip-- distribute-lft-out sqr-pow
Counts
4 → 77
Calls
4 calls:
7.0ms
(+ (pow (+ (* a a) (* b b)) 2.0) (* (* (* a a) (+ 1.0 a)) 4.0))
7.0ms
(* (* a a) (+ 1.0 a))
5.0ms
(pow (+ (* a a) (* b b)) 2.0)
10.0ms
(* (* b b) (- 1.0 (* 3.0 a)))

series49.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(+ (pow (+ (* a a) (* b b)) 2.0) (* (* (* a a) (+ 1.0 a)) 4.0))
5.0ms
(* (* a a) (+ 1.0 a))
21.0ms
(pow (+ (* a a) (* b b)) 2.0)
7.0ms
(* (* b b) (- 1.0 (* 3.0 a)))

simplify70.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
0527618
12617546
25001542

prune564.0ms

Filtered
89 candidates to 59 candidates (33.7%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New88189
Fresh224
Picked011
Done000
Total90494

Merged error: 0.0b

Counts
94 → 4

localize21.0ms

Local error

Found 4 expressions with local error:

0.6b
(* (* b b) (- 1.0 (* 3.0 a)))
10.1b
(cbrt (+ (* a a) (* b b)))
10.1b
(cbrt (+ (* a a) (* b b)))
10.1b
(cbrt (+ (* a a) (* b b)))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
9×pow1 add-exp-log cbrt-prod add-sqr-sqrt add-cbrt-cube
8×add-cube-cbrt *-un-lft-identity
6×cbrt-div
4×add-log-exp
3×flip3-+ pow1/3 associate-*r* pow-prod-down prod-exp cbrt-unprod flip-+
2×distribute-rgt-in sub-neg distribute-lft-in associate-*r/
1×flip3-- associate-*l* *-commutative flip-- unswap-sqr
Counts
4 → 64
Calls
4 calls:
7.0ms
(* (* b b) (- 1.0 (* 3.0 a)))
3.0ms
(cbrt (+ (* a a) (* b b)))
3.0ms
(cbrt (+ (* a a) (* b b)))
3.0ms
(cbrt (+ (* a a) (* b b)))

series70.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(* (* b b) (- 1.0 (* 3.0 a)))
20.0ms
(cbrt (+ (* a a) (* b b)))
22.0ms
(cbrt (+ (* a a) (* b b)))
20.0ms
(cbrt (+ (* a a) (* b b)))

simplify39.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0303591
11260537
25001516

prune584.0ms

Filtered
76 candidates to 58 candidates (23.7%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New76076
Fresh022
Picked011
Done011
Total76480

Merged error: 0.0b

Counts
80 → 4

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (+ (pow a 4) (+ (pow b 4) (* 2 (* (pow a 2) (pow b 2))))) (* 4.0 (* (* b b) (- 1.0 (* 3.0 a)))))
0.0b
(- 1.0 (* 3.0 a))
0.6b
(* (* b b) (- 1.0 (* 3.0 a)))
1.6b
(* (pow a 2) (pow b 2))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
21×add-exp-log
17×unswap-sqr
15×add-log-exp
14×unpow-prod-down
12×prod-exp
11×associate-*r* add-cbrt-cube
10×distribute-rgt-in distribute-lft-in associate-*r/ unpow2 sqr-pow
9×pow1 add-cube-cbrt *-un-lft-identity associate-*l*
8×associate-+r+
7×sub-neg
6×pow-to-exp pow-exp sum-log
4×flip3-- pow-prod-down frac-add flip-- cbrt-unprod
3×flip3-+ flip-+
2×*-commutative
1×+-commutative associate-+l+ diff-log
Counts
4 → 114
Calls
4 calls:
12.0ms
(+ (+ (pow a 4) (+ (pow b 4) (* 2 (* (pow a 2) (pow b 2))))) (* 4.0 (* (* b b) (- 1.0 (* 3.0 a)))))
3.0ms
(- 1.0 (* 3.0 a))
9.0ms
(* (* b b) (- 1.0 (* 3.0 a)))
7.0ms
(* (pow a 2) (pow b 2))

series35.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(+ (+ (pow a 4) (+ (pow b 4) (* 2 (* (pow a 2) (pow b 2))))) (* 4.0 (* (* b b) (- 1.0 (* 3.0 a)))))
3.0ms
(- 1.0 (* 3.0 a))
7.0ms
(* (* b b) (- 1.0 (* 3.0 a)))
6.0ms
(* (pow a 2) (pow b 2))

simplify93.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 2 (80.0ms)

IterNodesCost
06511149
131791030
250011026

prune843.0ms

Filtered
126 candidates to 73 candidates (42.1%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1260126
Fresh011
Picked011
Done022
Total1264130

Merged error: 0.0b

Counts
130 → 4

regimes149.0ms

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 (0.0ms)

IterNodesCost
02916
12916

end0.0ms

sample1.9s

Algorithm
intervals
Results
1.3s20249×body80valid

Profiling

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