Details

Time bar (total: 2.6s)

analyze274.0ms (10.6%)

Algorithm
1×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
0%99.9%0.1%6
12.5%87.4%0.1%7
31.2%68.6%0.1%8
35.9%60.8%3.3%9
44.1%48%7.9%10
54.8%36.9%8.3%11
57.6%31.5%10.9%12
61.9%24%14.1%13
67.2%18.6%14.2%14

sample16.0ms (0.6%)

Algorithm
1×intervals
Results
7.0ms256×body80valid
1.0ms27×body80invalid

simplify34.0ms (1.3%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
07339
17339

prune6.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 3.1b

Counts
2 → 1

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(- 1.0 (* (- 1.0 y) z))
0.0b
(* (- 1.0 y) z)
2.9b
(* x (- 1.0 (* (- 1.0 y) z)))

rewrite16.0ms (0.6%)

Algorithm
1×rewrite-expression-head
Rules
13×add-sqr-sqrt
9×*-un-lft-identity
8×associate-*l*
7×pow1 add-exp-log add-cube-cbrt add-cbrt-cube
6×associate-*r*
5×add-log-exp
3×sub-neg flip3-- flip--
2×associate-*r/ pow-prod-down associate-*l/ prod-exp *-commutative cbrt-unprod unswap-sqr
1×distribute-rgt-in distribute-lft-in diff-log distribute-lft-out-- difference-of-squares
Counts
3 → 55
Calls

3 calls:

6.0ms
(* (- 1.0 y) z)
5.0ms
(* x (- 1.0 (* (- 1.0 y) z)))
3.0ms
(- 1.0 (* (- 1.0 y) z))

series24.0ms (0.9%)

Counts
3 → 9
Calls

3 calls:

11.0ms
(* x (- 1.0 (* (- 1.0 y) z)))
8.0ms
(* (- 1.0 y) z)
5.0ms
(- 1.0 (* (- 1.0 y) z))

simplify38.0ms (1.5%)

Algorithm
1×egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
04981580
14981580

prune113.0ms (4.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New57764
Fresh000
Picked011
Done000
Total57865

Merged error: 2.9b

Counts
65 → 8

localize4.0ms (0.2%)

rewrite0.0ms (0%)

Algorithm
1×rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms (0%)

Counts
0 → 0

simplify3.0ms (0.1%)

Algorithm
1×egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
000

prune20.0ms (0.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New000
Fresh066
Picked011
Done011
Total088

Merged error: 2.9b

Counts
8 → 8

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b
(* x (sqrt (- 1.0 (* (- 1.0 y) z))))
0.1b
(* (* x (sqrt (- 1.0 (* (- 1.0 y) z)))) (sqrt (- 1.0 (* (- 1.0 y) z))))
1.2b
(sqrt (- 1.0 (* (- 1.0 y) z)))
1.2b
(sqrt (- 1.0 (* (- 1.0 y) z)))

rewrite25.0ms (1%)

Algorithm
1×rewrite-expression-head
Rules
18×sqrt-div
17×add-sqr-sqrt
13×pow1 sqrt-prod
12×associate-*r*
11×add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
10×associate-*r/
9×flip3-- flip--
4×frac-times associate-*l* pow-prod-down prod-exp cbrt-unprod add-log-exp
2×rem-sqrt-square sqrt-pow1 pow1/2 associate-*l/ *-commutative unswap-sqr
Counts
4 → 83
Calls

4 calls:

10.0ms
(* (* x (sqrt (- 1.0 (* (- 1.0 y) z)))) (sqrt (- 1.0 (* (- 1.0 y) z))))
8.0ms
(* x (sqrt (- 1.0 (* (- 1.0 y) z))))
3.0ms
(sqrt (- 1.0 (* (- 1.0 y) z)))
3.0ms
(sqrt (- 1.0 (* (- 1.0 y) z)))

series64.0ms (2.5%)

Counts
4 → 12
Calls

4 calls:

24.0ms
(* x (sqrt (- 1.0 (* (- 1.0 y) z))))
14.0ms
(sqrt (- 1.0 (* (- 1.0 y) z)))
14.0ms
(sqrt (- 1.0 (* (- 1.0 y) z)))
11.0ms
(* (* x (sqrt (- 1.0 (* (- 1.0 y) z)))) (sqrt (- 1.0 (* (- 1.0 y) z))))

simplify48.0ms (1.9%)

Algorithm
1×egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
049701372
149701372

prune205.0ms (7.9%)

Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New95095
Fresh055
Picked011
Done022
Total958103

Merged error: 2.9b

Counts
103 → 8

localize19.0ms (0.7%)

Local error

Found 4 expressions with local error:

0.1b
(pow (* (- 1.0 y) z) 3)
1.0b
(+ (* (* (- 1.0 y) z) (* (- 1.0 y) z)) (* 1.0 (* (- 1.0 y) z)))
2.4b
(* x (- (pow 1.0 3) (pow (* (- 1.0 y) z) 3)))
19.1b
(/ (* x (- (pow 1.0 3) (pow (* (- 1.0 y) z) 3))) (+ (* 1.0 1.0) (+ (* (* (- 1.0 y) z) (* (- 1.0 y) z)) (* 1.0 (* (- 1.0 y) z)))))

rewrite61.0ms (2.3%)

Algorithm
1×rewrite-expression-head
Rules
46×associate-*l/
24×associate-*r/
23×flip3-- flip--
21×add-sqr-sqrt
16×frac-add
14×add-exp-log add-cbrt-cube
13×associate-*r*
11×*-un-lft-identity
9×pow1 add-cube-cbrt
8×frac-times difference-of-squares
7×sqr-pow
6×add-log-exp
3×unpow-prod-down pow-unpow times-frac cube-prod associate-*l* prod-exp associate-/r* cbrt-unprod
2×cbrt-undiv cube-div sub-neg pow-pow flip3-+ div-exp pow-prod-down pow-exp associate-/r/ flip-+ associate-/l/ rem-cube-cbrt
1×difference-cubes +-commutative distribute-rgt-in cube-mult pow-to-exp distribute-rgt-out frac-2neg distribute-lft-in unpow3 clear-num sum-log *-commutative div-inv associate-/l* distribute-lft-out-- unswap-sqr
Counts
4 → 109
Calls

4 calls:

23.0ms
(/ (* x (- (pow 1.0 3) (pow (* (- 1.0 y) z) 3))) (+ (* 1.0 1.0) (+ (* (* (- 1.0 y) z) (* (- 1.0 y) z)) (* 1.0 (* (- 1.0 y) z)))))
15.0ms
(+ (* (* (- 1.0 y) z) (* (- 1.0 y) z)) (* 1.0 (* (- 1.0 y) z)))
12.0ms
(* x (- (pow 1.0 3) (pow (* (- 1.0 y) z) 3)))
6.0ms
(pow (* (- 1.0 y) z) 3)

series208.0ms (8%)

Counts
4 → 12
Calls

4 calls:

134.0ms
(/ (* x (- (pow 1.0 3) (pow (* (- 1.0 y) z) 3))) (+ (* 1.0 1.0) (+ (* (* (- 1.0 y) z) (* (- 1.0 y) z)) (* 1.0 (* (- 1.0 y) z)))))
49.0ms
(* x (- (pow 1.0 3) (pow (* (- 1.0 y) z) 3)))
17.0ms
(+ (* (* (- 1.0 y) z) (* (- 1.0 y) z)) (* 1.0 (* (- 1.0 y) z)))
8.0ms
(pow (* (- 1.0 y) z) 3)

simplify48.0ms (1.8%)

Algorithm
1×egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
054812821

prune396.0ms (15.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1192121
Fresh134
Picked101
Done213
Total1236129

Merged error: 0.0b

Counts
129 → 6

regimes556.0ms (21.4%)

Accuracy

Total 1.5b remaining (98.1%)

Threshold costs 0b (0%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02311
12311

end0.0ms (0%)

sample406.0ms (15.6%)

Algorithm
1×intervals
Results
218.0ms8000×body80valid
19.0ms727×body80invalid

Profiling

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