Details

Time bar (total: 3.2s)

analyze299.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
6.2%93.6%0.1%6
15.6%84.3%0.1%7
29.6%70.2%0.1%8
33.5%63.2%3.3%9
43.3%49.5%7.2%10
52.1%39.2%8.7%11
54.5%34.2%11.3%12
60.6%25.6%13.8%13
65.2%20.4%14.4%14

sample17.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
1.0ms20×body80invalid

simplify14.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (12.0ms)

IterNodesCost
03459
13459

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- x 1.0) z)
0.0b
(+ (* x y) (* (- x 1.0) z))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt
6×*-un-lft-identity
5×associate-*l*
4×pow1 add-exp-log add-cube-cbrt add-cbrt-cube add-log-exp
3×associate-*r*
2×associate-*l/
1×+-commutative flip3-- flip3-+ pow-prod-down prod-exp sum-log *-commutative flip-- cbrt-unprod flip-+ distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 33
Calls
2 calls:
6.0ms
(* (- x 1.0) z)
4.0ms
(+ (* x y) (* (- x 1.0) z))

series12.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(* (- x 1.0) z)
8.0ms
(+ (* x y) (* (- x 1.0) z))

simplify39.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
05186345

prune49.0ms

Filtered
26 candidates to 39 candidates (-50.0%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New37239
Fresh000
Picked011
Done000
Total37340

Merged error: 0.0b

Counts
40 → 3

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ (* x y) (* (- x 1.0) z))) (cbrt (+ (* x y) (* (- x 1.0) z))))
0.5b
(cbrt (+ (* x y) (* (- x 1.0) z)))
0.5b
(cbrt (+ (* x y) (* (- x 1.0) z)))
0.5b
(cbrt (+ (* x y) (* (- x 1.0) z)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×flip3-+ pow1/3 flip-+
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 87
Calls
4 calls:
10.0ms
(* (cbrt (+ (* x y) (* (- x 1.0) z))) (cbrt (+ (* x y) (* (- x 1.0) z))))
3.0ms
(cbrt (+ (* x y) (* (- x 1.0) z)))
3.0ms
(cbrt (+ (* x y) (* (- x 1.0) z)))
3.0ms
(cbrt (+ (* x y) (* (- x 1.0) z)))

series197.0ms

Counts
4 → 12
Calls
4 calls:
69.0ms
(* (cbrt (+ (* x y) (* (- x 1.0) z))) (cbrt (+ (* x y) (* (- x 1.0) z))))
42.0ms
(cbrt (+ (* x y) (* (- x 1.0) z)))
43.0ms
(cbrt (+ (* x y) (* (- x 1.0) z)))
42.0ms
(cbrt (+ (* x y) (* (- x 1.0) z)))

simplify66.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
049261742
149261742

prune188.0ms

Filtered
74 candidates to 99 candidates (-33.8%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New98199
Fresh011
Picked011
Done011
Total984102

Merged error: 0.0b

Counts
102 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x x) (+ (* 1.0 1.0) (* x 1.0)))
0.0b
(+ (* x y) (/ (* z (- (pow x 3) (pow 1.0 3))) (+ (* x x) (+ (* 1.0 1.0) (* x 1.0)))))
2.0b
(* z (- (pow x 3) (pow 1.0 3)))
12.2b
(/ (* z (- (pow x 3) (pow 1.0 3))) (+ (* x x) (+ (* 1.0 1.0) (* x 1.0))))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
34×add-sqr-sqrt
25×associate-*r*
18×*-un-lft-identity
16×difference-of-squares
12×unpow-prod-down cube-prod
11×add-exp-log add-cbrt-cube add-log-exp
8×add-cube-cbrt sqr-pow
6×pow1
5×distribute-lft-out--
4×associate-*r/ sum-log
3×flip3-+ times-frac associate-*l* associate-/r* flip-+
2×cbrt-undiv +-commutative sub-neg flip3-- div-exp prod-exp associate-/r/ flip-- cbrt-unprod associate-/l/
1×difference-cubes distribute-rgt-in associate-+r+ frac-2neg distribute-lft-in pow-prod-down clear-num *-commutative div-inv associate-/l* unswap-sqr
Counts
4 → 93
Calls
4 calls:
6.0ms
(+ (* x x) (+ (* 1.0 1.0) (* x 1.0)))
11.0ms
(+ (* x y) (/ (* z (- (pow x 3) (pow 1.0 3))) (+ (* x x) (+ (* 1.0 1.0) (* x 1.0)))))
18.0ms
(* z (- (pow x 3) (pow 1.0 3)))
19.0ms
(/ (* z (- (pow x 3) (pow 1.0 3))) (+ (* x x) (+ (* 1.0 1.0) (* x 1.0))))

series66.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(+ (* x x) (+ (* 1.0 1.0) (* x 1.0)))
25.0ms
(+ (* x y) (/ (* z (- (pow x 3) (pow 1.0 3))) (+ (* x x) (+ (* 1.0 1.0) (* x 1.0)))))
12.0ms
(* z (- (pow x 3) (pow 1.0 3)))
27.0ms
(/ (* z (- (pow x 3) (pow 1.0 3))) (+ (* x x) (+ (* 1.0 1.0) (* x 1.0))))

simplify44.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
049701574
149701574

prune177.0ms

Filtered
72 candidates to 105 candidates (-45.8%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1041105
Fresh011
Picked011
Done022
Total1045109

Merged error: 0b

Counts
109 → 5

localize16.0ms

Local error

Found 4 expressions with local error:

4.0b
(/ (- (pow x 3) (pow 1.0 3)) (sqrt (+ (* x x) (* 1.0 (+ x 1.0)))))
8.2b
(sqrt (+ (* x x) (* 1.0 (+ x 1.0))))
8.2b
(sqrt (+ (* x x) (* 1.0 (+ x 1.0))))
10.5b
(* (/ z (sqrt (+ (* x x) (* 1.0 (+ x 1.0))))) (/ (- (pow x 3) (pow 1.0 3)) (sqrt (+ (* x x) (* 1.0 (+ x 1.0))))))

rewrite141.0ms

Algorithm
rewrite-expression-head
Rules
479×add-sqr-sqrt
330×times-frac
265×*-un-lft-identity
208×difference-of-squares
174×sqrt-prod
156×unpow-prod-down cube-prod associate-*r*
135×add-cube-cbrt
104×sqr-pow
65×distribute-lft-out--
25×associate-/l*
24×associate-*l*
18×add-exp-log add-cbrt-cube
13×difference-cubes
10×sqrt-div
9×unswap-sqr
8×pow1
6×associate-/r* associate-/r/
5×cbrt-undiv flip3-+ div-exp flip-+
4×prod-exp cbrt-unprod add-log-exp
3×div-inv
2×rem-sqrt-square sqrt-pow1 pow1/2 associate-/l/
1×frac-times flip3-- frac-2neg div-sub associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative flip--
Counts
4 → 437
Calls
4 calls:
20.0ms
(/ (- (pow x 3) (pow 1.0 3)) (sqrt (+ (* x x) (* 1.0 (+ x 1.0)))))
4.0ms
(sqrt (+ (* x x) (* 1.0 (+ x 1.0))))
4.0ms
(sqrt (+ (* x x) (* 1.0 (+ x 1.0))))
83.0ms
(* (/ z (sqrt (+ (* x x) (* 1.0 (+ x 1.0))))) (/ (- (pow x 3) (pow 1.0 3)) (sqrt (+ (* x x) (* 1.0 (+ x 1.0))))))

series40.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(/ (- (pow x 3) (pow 1.0 3)) (sqrt (+ (* x x) (* 1.0 (+ x 1.0)))))
3.0ms
(sqrt (+ (* x x) (* 1.0 (+ x 1.0))))
3.0ms
(sqrt (+ (* x x) (* 1.0 (+ x 1.0))))
27.0ms
(* (/ z (sqrt (+ (* x x) (* 1.0 (+ x 1.0))))) (/ (- (pow x 3) (pow 1.0 3)) (sqrt (+ (* x x) (* 1.0 (+ x 1.0))))))

simplify143.0ms

Algorithm
egg-herbie
Counts
449 → 449
Iterations

Useful iterations: 0 (77.0ms)

IterNodesCost
0498213198
1498213198

prune920.0ms

Filtered
197 candidates to 449 candidates (-127.9%)
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New4490449
Fresh011
Picked011
Done033
Total4495454

Merged error: 0b

Counts
454 → 5

regimes264.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0219
1219

end0.0ms

sample423.0ms

Algorithm
intervals
Results
233.0ms8000×body80valid
19.0ms691×body80invalid

Profiling

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