Details

Time bar (total: 2.9s)

analyze651.0ms (22.2%)

Algorithm
1×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
17.2%82.7%0.2%9
22.6%77.2%0.2%10
25.7%74.1%0.2%11
28.3%69.9%1.9%12
40.1%55.3%4.6%13
44.4%49.9%5.8%14

sample23.0ms (0.8%)

Algorithm
1×intervals
Results
8.0ms256×body80valid
2.0ms65×body80invalid

simplify35.0ms (1.2%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
07339
17339

prune7.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 2.8b

Counts
2 → 1

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(+ x (* (- y x) (/ z t)))
6.5b
(* (- y x) (/ z t))

rewrite18.0ms (0.6%)

Algorithm
1×rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*r*
12×*-un-lft-identity
10×add-cube-cbrt times-frac
7×add-exp-log add-cbrt-cube
5×associate-*l*
4×pow1 add-log-exp
2×frac-times flip3-- associate-*l/ prod-exp flip-- cbrt-unprod unswap-sqr
1×cbrt-undiv +-commutative flip3-+ associate-*r/ div-exp pow-prod-down sum-log *-commutative flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 49
Calls

2 calls:

13.0ms
(* (- y x) (/ z t))
3.0ms
(+ x (* (- y x) (/ z t)))

series22.0ms (0.8%)

Counts
2 → 6
Calls

2 calls:

12.0ms
(* (- y x) (/ z t))
11.0ms
(+ x (* (- y x) (/ z t)))

simplify45.0ms (1.5%)

Algorithm
1×egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
05329557

prune102.0ms (3.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New48755
Fresh000
Picked011
Done000
Total48856

Merged error: 0.0b

Counts
56 → 8

localize16.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)
1.7b
(* (- y x) (* (cbrt z) (/ (cbrt z) (* (cbrt t) (cbrt t)))))

rewrite19.0ms (0.6%)

Algorithm
1×rewrite-expression-head
Rules
18×add-exp-log
11×add-cbrt-cube
10×add-sqr-sqrt *-un-lft-identity
9×pow1 cbrt-prod
8×add-cube-cbrt prod-exp cbrt-unprod
5×associate-*l*
4×associate-*r/ add-log-exp
3×pow1/3 pow-prod-down
2×cbrt-undiv frac-times flip3-- div-exp associate-*l/ flip--
1×associate-*r* *-commutative distribute-lft-out-- difference-of-squares
Counts
4 → 62
Calls

4 calls:

13.0ms
(* (- y x) (* (cbrt z) (/ (cbrt z) (* (cbrt t) (cbrt t)))))
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series113.0ms (3.9%)

Counts
4 → 12
Calls

4 calls:

46.0ms
(* (- y x) (* (cbrt z) (/ (cbrt z) (* (cbrt t) (cbrt t)))))
23.0ms
(cbrt z)
23.0ms
(cbrt z)
22.0ms
(cbrt z)

simplify52.0ms (1.8%)

Algorithm
1×egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
04932592
14932592

prune125.0ms (4.3%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New72274
Fresh066
Picked101
Done011
Total73982

Merged error: 0.0b

Counts
82 → 9

localize15.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)
2.7b
(* (* (- y x) (cbrt z)) (/ (cbrt z) (* (cbrt t) (cbrt t))))

rewrite20.0ms (0.7%)

Algorithm
1×rewrite-expression-head
Rules
25×add-exp-log
14×add-cbrt-cube
12×cbrt-prod
11×prod-exp cbrt-unprod
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*r*
9×pow1
6×times-frac associate-*l/
4×cbrt-undiv div-exp add-log-exp
3×pow1/3 pow-prod-down
2×frac-times flip3-- flip--
1×associate-*r/ associate-*l* *-commutative div-inv
Counts
4 → 71
Calls

4 calls:

14.0ms
(* (* (- y x) (cbrt z)) (/ (cbrt z) (* (cbrt t) (cbrt t))))
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series116.0ms (4%)

Counts
4 → 12
Calls

4 calls:

48.0ms
(* (* (- y x) (cbrt z)) (/ (cbrt z) (* (cbrt t) (cbrt t))))
23.0ms
(cbrt z)
23.0ms
(cbrt z)
22.0ms
(cbrt z)

simplify66.0ms (2.2%)

Algorithm
1×egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 0 (59.0ms)

IterNodesCost
05028764

prune120.0ms (4.1%)

Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New83083
Fresh077
Picked011
Done011
Total83992

Merged error: 0.0b

Counts
92 → 9

localize11.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
0.6b
(cbrt t)
4.6b
(* (/ (- y x) (* (cbrt t) (cbrt t))) (/ z (cbrt t)))

rewrite23.0ms (0.8%)

Algorithm
1×rewrite-expression-head
Rules
40×add-sqr-sqrt
30×times-frac
25×add-exp-log
24×*-un-lft-identity
22×add-cube-cbrt associate-*r*
20×cbrt-prod
18×add-cbrt-cube
9×associate-*l*
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp
6×pow1 unswap-sqr
4×add-log-exp
3×pow1/3
2×div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative distribute-lft-out-- difference-of-squares
Counts
4 → 94
Calls

4 calls:

17.0ms
(* (/ (- y x) (* (cbrt t) (cbrt t))) (/ z (cbrt t)))
1.0ms
(cbrt t)
1.0ms
(cbrt t)
1.0ms
(cbrt t)

series88.0ms (3%)

Counts
4 → 12
Calls

4 calls:

25.0ms
(cbrt t)
23.0ms
(cbrt t)
22.0ms
(cbrt t)
17.0ms
(* (/ (- y x) (* (cbrt t) (cbrt t))) (/ z (cbrt t)))

simplify41.0ms (1.4%)

Algorithm
1×egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
050811017

prune113.0ms (3.8%)

Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New1033106
Fresh156
Picked101
Done022
Total10510115

Merged error: 0.0b

Counts
115 → 10

regimes482.0ms (16.4%)

Accuracy

Total 1.1b remaining (97.5%)

Threshold costs 0b (0%)

bsearch0.0ms (0%)

simplify1.0ms (0%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02727
12727

end0.0ms (0%)

sample604.0ms (20.6%)

Algorithm
1×intervals
Results
262.0ms8000×body80valid
65.0ms2101×body80invalid

Profiling

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