Details

Time bar (total: 8.7s)

analyze1.8s

Algorithm
search
Search
TrueOtherFalseIter
0%99.7%0.3%0
0%99.7%0.3%1
0%99.7%0.3%2
0%99.7%0.3%3
0%99.7%0.3%4
0%99.7%0.3%5
0%99.7%0.3%6
0%99.7%0.3%7
0%99.7%0.3%8
3.1%96.5%0.3%9
4.7%95%0.3%10
4.7%95%0.3%11
5.1%82.1%12.8%12
6.2%74.7%19%13
6.4%74.5%19%14

sample81.0ms

Algorithm
intervals
Results
27.0ms256×body80valid
22.0ms177×body80nan

simplify82.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (80.0ms)

IterNodesCost
0498533
1498533

prune32.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 2.5b

Counts
2 → 2

localize48.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (sqrt (+ t a)) t)
0.3b
(/ 2.0 (* t 3.0))
2.1b
(* z (/ (sqrt (+ t a)) t))
2.3b
(- (* z (/ (sqrt (+ t a)) t)) (* (- b c) (+ a (- (/ 5.0 6.0) (/ 2.0 (* t 3.0))))))

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
51×*-un-lft-identity
47×times-frac
45×add-sqr-sqrt
37×add-cube-cbrt
29×sqrt-prod
25×associate-*r*
16×add-exp-log add-cbrt-cube
11×associate-*r/
10×associate-/l*
8×frac-sub
7×distribute-lft-out
6×pow1 add-log-exp
4×cbrt-undiv frac-times flip3-- flip3-+ div-exp associate-/r* flip-- flip-+
3×associate-*l* prod-exp cbrt-unprod div-inv unswap-sqr
2×frac-2neg sqrt-div associate-*l/ clear-num associate-/l/ associate--r+
1×distribute-rgt-in sub-neg distribute-lft-in diff-log pow-prod-down *-commutative
Counts
4 → 132
Calls
4 calls:
10.0ms
(/ (sqrt (+ t a)) t)
8.0ms
(/ 2.0 (* t 3.0))
19.0ms
(* z (/ (sqrt (+ t a)) t))
17.0ms
(- (* z (/ (sqrt (+ t a)) t)) (* (- b c) (+ a (- (/ 5.0 6.0) (/ 2.0 (* t 3.0))))))

series116.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(/ (sqrt (+ t a)) t)
3.0ms
(/ 2.0 (* t 3.0))
28.0ms
(* z (/ (sqrt (+ t a)) t))
65.0ms
(- (* z (/ (sqrt (+ t a)) t)) (* (- b c) (+ a (- (/ 5.0 6.0) (/ 2.0 (* t 3.0))))))

simplify55.0ms

Algorithm
egg-herbie
Counts
144 → 144
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
056642222

prune241.0ms

Filtered
100 candidates to 144 candidates (-44.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New1431144
Fresh011
Picked101
Done000
Total1442146

Merged error: 1.0b

Counts
146 → 2

localize23.0ms

Local error

Found 4 expressions with local error:

0.3b
(* z (sqrt (+ t a)))
0.3b
(/ 2.0 (* t 3.0))
2.3b
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
5.7b
(/ (* z (sqrt (+ t a))) t)

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
20×frac-sub
16×add-exp-log add-cbrt-cube
15×add-sqr-sqrt
13×*-un-lft-identity
11×add-cube-cbrt
9×flip3-- flip--
8×frac-times associate-*r/
7×associate-*r*
6×pow1 times-frac add-log-exp
5×flip3-+ sqrt-prod flip-+
4×cbrt-undiv sqrt-div div-exp associate-/r* associate-/l* associate--r+
3×sub-neg associate-*l* prod-exp cbrt-unprod
2×distribute-rgt-in frac-2neg distribute-lft-in associate-*l/ associate--l+ clear-num div-inv associate-/l/ unswap-sqr
1×diff-log pow-prod-down *-commutative distribute-lft-out
Counts
4 → 98
Calls
4 calls:
8.0ms
(* z (sqrt (+ t a)))
5.0ms
(/ 2.0 (* t 3.0))
12.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
8.0ms
(/ (* z (sqrt (+ t a))) t)

series86.0ms

Counts
4 → 12
Calls
4 calls:
13.0ms
(* z (sqrt (+ t a)))
2.0ms
(/ 2.0 (* t 3.0))
52.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
20.0ms
(/ (* z (sqrt (+ t a))) t)

simplify41.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 0 (26.0ms)

IterNodesCost
053842236

prune214.0ms

Filtered
87 candidates to 110 candidates (-26.4%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1082110
Fresh101
Picked011
Done000
Total1093112

Merged error: 0.7b

Counts
112 → 3

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ x (+ x (* y (exp (* 2.0 (+ (* c 0.8333333333333334) (* a (- c b))))))))
0.0b
(* y (exp (* 2.0 (+ (* c 0.8333333333333334) (* a (- c b))))))
0.0b
(+ (* c 0.8333333333333334) (* a (- c b)))
0.0b
(* a (- c b))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt
18×*-un-lft-identity
16×add-cube-cbrt
10×associate-*r* add-cbrt-cube
9×add-exp-log times-frac
8×pow1
6×associate-*l* add-log-exp
4×sub-neg
3×distribute-rgt-in distribute-lft-in associate-/r* associate-/l*
2×associate-+r+ flip3-+ associate-*r/ exp-sum pow-prod-down prod-exp associate-/r/ *-commutative cbrt-unprod flip-+ unswap-sqr
1×cbrt-undiv +-commutative flip3-- frac-2neg div-exp clear-num sum-log flip-- div-inv distribute-lft-out-- difference-of-squares
Counts
4 → 86
Calls
4 calls:
4.0ms
(/ x (+ x (* y (exp (* 2.0 (+ (* c 0.8333333333333334) (* a (- c b))))))))
6.0ms
(* y (exp (* 2.0 (+ (* c 0.8333333333333334) (* a (- c b))))))
4.0ms
(+ (* c 0.8333333333333334) (* a (- c b)))
6.0ms
(* a (- c b))

series79.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(/ x (+ x (* y (exp (* 2.0 (+ (* c 0.8333333333333334) (* a (- c b))))))))
24.0ms
(* y (exp (* 2.0 (+ (* c 0.8333333333333334) (* a (- c b))))))
8.0ms
(+ (* c 0.8333333333333334) (* a (- c b)))
7.0ms
(* a (- c b))

simplify30.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 0 (21.0ms)

IterNodesCost
051741472

prune154.0ms

Filtered
74 candidates to 98 candidates (-32.4%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New96298
Fresh101
Picked101
Done011
Total983101

Merged error: 0.2b

Counts
101 → 3

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(pow (exp (+ (* a (- c b)) (* c 0.8333333333333334))) 2.0)
0.0b
(* a (- c b))
1.0b
(pow (exp y) (pow (exp (+ (* a (- c b)) (* c 0.8333333333333334))) 2.0))
1.3b
(log (pow (exp y) (pow (exp (+ (* a (- c b)) (* c 0.8333333333333334))) 2.0)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
17×*-un-lft-identity
15×add-cube-cbrt
14×unpow-prod-down
11×pow-unpow
8×pow1 pow-pow
7×add-exp-log log-prod
6×exp-prod add-cbrt-cube
5×associate-*r*
4×add-log-exp sqr-pow
3×pow-to-exp rem-log-exp associate-*l* pow-exp
2×sub-neg associate-*r/ exp-sum
1×distribute-rgt-in flip3-- distribute-lft-in pow-prod-down prod-exp log-pow *-commutative flip-- cbrt-unprod distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 88
Calls
4 calls:
9.0ms
(pow (exp (+ (* a (- c b)) (* c 0.8333333333333334))) 2.0)
6.0ms
(* a (- c b))
7.0ms
(pow (exp y) (pow (exp (+ (* a (- c b)) (* c 0.8333333333333334))) 2.0))
2.0ms
(log (pow (exp y) (pow (exp (+ (* a (- c b)) (* c 0.8333333333333334))) 2.0)))

series120.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(pow (exp (+ (* a (- c b)) (* c 0.8333333333333334))) 2.0)
7.0ms
(* a (- c b))
45.0ms
(pow (exp y) (pow (exp (+ (* a (- c b)) (* c 0.8333333333333334))) 2.0))
47.0ms
(log (pow (exp y) (pow (exp (+ (* a (- c b)) (* c 0.8333333333333334))) 2.0)))

simplify52.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
051791375

prune155.0ms

Filtered
66 candidates to 100 candidates (-51.5%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1000100
Fresh011
Picked011
Done011
Total1003103

Merged error: 0.2b

Counts
103 → 3

regimes1.5s

Accuracy

49.9% (1.8b remaining)

Error of 2.3b against oracle of 0.5b and baseline of 4.1b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05580
15580

end0.0ms

analyze1.7s

Algorithm
search
Search
TrueOtherFalseIter
0%99.7%0.3%0
0%99.7%0.3%1
0%99.7%0.3%2
0%99.7%0.3%3
0%99.7%0.3%4
0%99.7%0.3%5
0%99.7%0.3%6
0%99.7%0.3%7
0%99.7%0.3%8
3.1%96.5%0.3%9
4.7%95%0.3%10
4.7%95%0.3%11
5.1%82.1%12.8%12
6.2%74.7%19%13
6.4%74.5%19%14

sample1.8s

Algorithm
intervals
Results
780.0ms8000×body80valid
499.0ms5055×body80nan

Profiling

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