Details

Time bar (total: 3.1s)

analyze679.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
0%99.8%0.2%5
0%99.8%0.2%6
0%99.8%0.2%7
0%99.8%0.2%8
6.2%93.6%0.2%9
6.2%82.7%11.1%10
12.5%73.7%13.8%11
15.6%59.5%25%12
17.9%53.3%28.8%13
22.4%47.2%30.4%14

sample25.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
3.0ms94×body80invalid

simplify28.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (26.0ms)

IterNodesCost
072013
172013

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: 7.1b

Counts
2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* x x) (* (* y 4.0) (- (* z z) t)))
6.6b
(* (* y 4.0) (- (* z z) t))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
5×sub-neg
4×add-sqr-sqrt associate-*r* add-log-exp
3×add-cube-cbrt *-un-lft-identity pow-prod-down prod-exp cbrt-unprod
2×distribute-rgt-in flip3-- distribute-lft-in associate-*r/ flip-- associate--r+
1×diff-log associate-*l* *-commutative difference-of-squares
Counts
2 → 36
Calls
2 calls:
4.0ms
(- (* x x) (* (* y 4.0) (- (* z z) t)))
9.0ms
(* (* y 4.0) (- (* z z) t))

series36.0ms

Counts
2 → 6
Calls
2 calls:
23.0ms
(- (* x x) (* (* y 4.0) (- (* z z) t)))
13.0ms
(* (* y 4.0) (- (* z z) t))

simplify29.0ms

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 0 (24.0ms)

IterNodesCost
05096520

prune72.0ms

Filtered
30 candidates to 42 candidates (-40.0%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New36642
Fresh000
Picked101
Done000
Total37643

Merged error: 4.2b

Counts
43 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* y (* 4.0 (* z z))) (* y (* 4.0 (neg t))))
0.0b
(- (* x x) (+ (* y (* 4.0 (* z z))) (* y (* 4.0 (neg t)))))
0.0b
(* 4.0 (* z z))
10.6b
(* y (* 4.0 (* z z)))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
18×pow1 add-exp-log add-cbrt-cube
11×add-log-exp
9×pow-prod-down prod-exp cbrt-unprod
8×add-sqr-sqrt
6×add-cube-cbrt *-un-lft-identity associate-*l*
4×distribute-rgt-neg-out
2×diff-log associate-*r* unsub-neg sum-log *-commutative
1×+-commutative sub-neg flip3-- flip3-+ flip-- flip-+ distribute-lft-out associate--r+ associate--r- difference-of-squares unswap-sqr
Counts
4 → 68
Calls
4 calls:
9.0ms
(+ (* y (* 4.0 (* z z))) (* y (* 4.0 (neg t))))
10.0ms
(- (* x x) (+ (* y (* 4.0 (* z z))) (* y (* 4.0 (neg t)))))
5.0ms
(* 4.0 (* z z))
8.0ms
(* y (* 4.0 (* z z)))

series46.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(+ (* y (* 4.0 (* z z))) (* y (* 4.0 (neg t))))
22.0ms
(- (* x x) (+ (* y (* 4.0 (* z z))) (* y (* 4.0 (neg t)))))
3.0ms
(* 4.0 (* z z))
7.0ms
(* y (* 4.0 (* z z)))

simplify54.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
05147799

prune107.0ms

Filtered
48 candidates to 80 candidates (-66.7%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New79180
Fresh055
Picked011
Done000
Total79786

Merged error: 4.2b

Counts
86 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b
(* y (* 4.0 (sqrt (- (* z z) t))))
0.2b
(* (* y (* 4.0 (sqrt (- (* z z) t)))) (sqrt (- (* z z) t)))
6.6b
(sqrt (- (* z z) t))
6.6b
(sqrt (- (* z z) t))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
20×pow1
18×add-exp-log sqrt-div associate-*r/ add-cbrt-cube
14×add-sqr-sqrt
12×sqrt-prod
9×add-cube-cbrt flip3-- *-un-lft-identity pow-prod-down prod-exp flip-- cbrt-unprod
8×associate-*r*
4×frac-times associate-*l* add-log-exp
3×difference-of-squares
2×rem-sqrt-square sqrt-pow1 pow1/2 associate-*l/ *-commutative
Counts
4 → 85
Calls
4 calls:
9.0ms
(* y (* 4.0 (sqrt (- (* z z) t))))
16.0ms
(* (* y (* 4.0 (sqrt (- (* z z) t)))) (sqrt (- (* z z) t)))
5.0ms
(sqrt (- (* z z) t))
5.0ms
(sqrt (- (* z z) t))

series41.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(* y (* 4.0 (sqrt (- (* z z) t))))
13.0ms
(* (* y (* 4.0 (sqrt (- (* z z) t)))) (sqrt (- (* z z) t)))
6.0ms
(sqrt (- (* z z) t))
6.0ms
(sqrt (- (* z z) t))

simplify43.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
051171084

prune116.0ms

Filtered
72 candidates to 97 candidates (-34.7%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New97097
Fresh055
Picked011
Done011
Total977104

Merged error: 4.2b

Counts
104 → 7

localize18.0ms

Local error

Found 4 expressions with local error:

6.6b
(* y (* 4.0 (- t (* z z))))
6.6b
(* y (* 4.0 (- (* z z) t)))
6.6b
(* y (* 4.0 (- (* z z) t)))
27.2b
(/ (+ (pow x 4) (* (* y (* 4.0 (- (* z z) t))) (* y (* 4.0 (- t (* z z)))))) (+ (* x x) (* y (* 4.0 (- (* z z) t)))))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
21×add-exp-log add-cbrt-cube
19×pow1
15×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
12×distribute-rgt-in sub-neg distribute-lft-in associate-*r/
9×times-frac associate-*l* pow-prod-down prod-exp cbrt-unprod
4×add-log-exp
3×flip3-- associate-*r* associate-/r* *-commutative flip-- associate-/l*
2×flip3-+ associate-/r/ flip-+ associate-/l/
1×cbrt-undiv frac-2neg div-exp clear-num div-inv
Counts
4 → 103
Calls
4 calls:
7.0ms
(* y (* 4.0 (- t (* z z))))
9.0ms
(* y (* 4.0 (- (* z z) t)))
9.0ms
(* y (* 4.0 (- (* z z) t)))
11.0ms
(/ (+ (pow x 4) (* (* y (* 4.0 (- (* z z) t))) (* y (* 4.0 (- t (* z z)))))) (+ (* x x) (* y (* 4.0 (- (* z z) t)))))

series129.0ms

Counts
4 → 12
Calls
4 calls:
15.0ms
(* y (* 4.0 (- t (* z z))))
15.0ms
(* y (* 4.0 (- (* z z) t)))
13.0ms
(* y (* 4.0 (- (* z z) t)))
86.0ms
(/ (+ (pow x 4) (* (* y (* 4.0 (- (* z z) t))) (* y (* 4.0 (- t (* z z)))))) (+ (* x x) (* y (* 4.0 (- (* z z) t)))))

simplify35.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 0 (22.0ms)

IterNodesCost
053082428

prune155.0ms

Filtered
75 candidates to 115 candidates (-53.3%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New1132115
Fresh134
Picked011
Done022
Total1148122

Merged error: 4.2b

Counts
122 → 8

regimes647.0ms

Accuracy

84.5% (0.5b remaining)

Error of 3.2b against oracle of 2.7b and baseline of 6.0b

bsearch1.0ms

simplify6.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
041140
141140

end0.0ms

sample670.0ms

Algorithm
intervals
Results
295.0ms8000×body80valid
105.0ms3043×body80invalid

Profiling

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