Details

Time bar (total: 2.4s)

analyze454.0ms (19.1%)

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
18.7%81.1%0.1%8
31.2%68.6%0.1%9
46.8%44.5%8.7%10
51.5%39%9.5%11
57.3%32.6%10.1%12
63.8%21.6%14.7%13
66.2%18.7%15.1%14

sample17.0ms (0.7%)

Algorithm
1×intervals
Results
6.0ms256×body80valid
0.0ms11×body80invalid

simplify460.0ms (19.4%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0135
1135

prune7.0ms (0.3%)

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 (0.3%)

Local error

Found 1 expressions with local error:

0.0b
(* (+ x y) z)

rewrite9.0ms (0.4%)

Algorithm
1×rewrite-expression-head
Rules
5×add-sqr-sqrt *-un-lft-identity
4×associate-*l*
3×pow1 add-exp-log add-cube-cbrt associate-*r* add-cbrt-cube
2×associate-*l/
1×flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ distribute-lft-out add-log-exp unswap-sqr
Counts
1 → 21
Calls

1 calls:

8.0ms
(* (+ x y) z)

series14.0ms (0.6%)

Counts
1 → 3
Calls

1 calls:

14.0ms
(* (+ x y) z)

simplify40.0ms (1.7%)

Algorithm
1×egg-herbie
Counts
24 → 24
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
05624151

prune58.0ms (2.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New20424
Fresh000
Picked011
Done000
Total20525

Merged error: 0b

Counts
25 → 5

localize8.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* (+ x y) z)) (cbrt (* (+ x y) z)))
3.2b
(cbrt (* (+ x y) z))
3.2b
(cbrt (* (+ x y) z))
3.2b
(cbrt (* (+ x y) z))

rewrite21.0ms (0.9%)

Algorithm
1×rewrite-expression-head
Rules
20×associate-*l/
18×cbrt-div
11×pow1
10×add-sqr-sqrt
9×flip3-+ pow1/3 flip-+
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×frac-times swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
2×associate-*r/ pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 72
Calls

4 calls:

6.0ms
(* (cbrt (* (+ x y) z)) (cbrt (* (+ x y) z)))
4.0ms
(cbrt (* (+ x y) z))
4.0ms
(cbrt (* (+ x y) z))
4.0ms
(cbrt (* (+ x y) z))

series131.0ms (5.5%)

Counts
4 → 12
Calls

4 calls:

44.0ms
(* (cbrt (* (+ x y) z)) (cbrt (* (+ x y) z)))
32.0ms
(cbrt (* (+ x y) z))
28.0ms
(cbrt (* (+ x y) z))
26.0ms
(cbrt (* (+ x y) z))

simplify46.0ms (1.9%)

Algorithm
1×egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
05052888

prune112.0ms (4.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New84084
Fresh033
Picked011
Done011
Total84589

Merged error: 0b

Counts
89 → 5

localize8.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b
(* z (- x y))
0.2b
(* (+ x y) (* z (- x y)))
17.4b
(/ (* (+ x y) (* z (- x y))) (- x y))

rewrite33.0ms (1.4%)

Algorithm
1×rewrite-expression-head
Rules
19×add-exp-log add-cbrt-cube
18×associate-*r/
16×add-sqr-sqrt *-un-lft-identity
10×pow1
8×frac-times add-cube-cbrt flip3-- flip-- associate-/l/
7×associate-*l* prod-exp cbrt-unprod
6×sub-neg flip3-+ associate-*r* flip-+
5×distribute-rgt-in distribute-lft-in times-frac associate-/r*
4×pow-prod-down associate-*l/
3×cbrt-undiv div-exp distribute-lft-out-- add-log-exp difference-of-squares
2×associate-/r/ *-commutative
1×frac-2neg clear-num div-inv distribute-lft-out associate-/l* unswap-sqr
Counts
3 → 92
Calls

3 calls:

14.0ms
(/ (* (+ x y) (* z (- x y))) (- x y))
10.0ms
(* (+ x y) (* z (- x y)))
6.0ms
(* z (- x y))

series25.0ms (1.1%)

Counts
3 → 9
Calls

3 calls:

12.0ms
(* (+ x y) (* z (- x y)))
7.0ms
(* z (- x y))
6.0ms
(/ (* (+ x y) (* z (- x y))) (- x y))

simplify54.0ms (2.3%)

Algorithm
1×egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
04979996
14979996

prune112.0ms (4.7%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1010101
Fresh022
Picked011
Done022
Total1015106

Merged error: 0b

Counts
106 → 5

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.1b
(* (* (+ x y) (sqrt z)) (sqrt z))
0.1b
(* (+ x y) (sqrt z))

rewrite19.0ms (0.8%)

Algorithm
1×rewrite-expression-head
Rules
12×associate-*r*
11×add-sqr-sqrt
9×pow1 add-exp-log *-un-lft-identity add-cbrt-cube
7×add-cube-cbrt sqrt-prod
6×associate-*l/
5×associate-*l*
4×pow-prod-down prod-exp cbrt-unprod
2×flip3-+ *-commutative flip-+ add-log-exp unswap-sqr
1×distribute-lft-out
Counts
2 → 48
Calls

2 calls:

11.0ms
(* (* (+ x y) (sqrt z)) (sqrt z))
7.0ms
(* (+ x y) (sqrt z))

series20.0ms (0.9%)

Counts
2 → 6
Calls

2 calls:

11.0ms
(* (+ x y) (sqrt z))
9.0ms
(* (* (+ x y) (sqrt z)) (sqrt z))

simplify46.0ms (1.9%)

Algorithm
1×egg-herbie
Counts
54 → 54
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
05014406

prune58.0ms (2.5%)

Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New54054
Fresh011
Picked011
Done033
Total54559

Merged error: 0b

Counts
59 → 5

regimes248.0ms (10.4%)

Accuracy

Total 0.0b remaining (47.1%)

Threshold costs 0.0b (47.1%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
075
175

end0.0ms (0%)

sample357.0ms (15.1%)

Algorithm
1×intervals
Results
166.0ms8000×body80valid
12.0ms639×body80invalid

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