Details

Time bar (total: 2.8s)

analyze822.0ms (29.6%)

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
3.1%96.7%0.2%8
17.2%82.7%0.2%9
21.8%78%0.2%10
30%68.8%1.2%11
31.8%65.3%2.9%12
40.1%55.3%4.6%13
44.5%50.1%5.4%14

sample21.0ms (0.7%)

Algorithm
1×intervals
Results
8.0ms256×body80valid
2.0ms57×body80invalid

simplify41.0ms (1.5%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
07339
17339

prune7.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 2.0b

Counts
2 → 1

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(+ (* (/ x y) (- z t)) t)
6.3b
(* (/ x y) (- z t))

rewrite19.0ms (0.7%)

Algorithm
1×rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*l*
12×*-un-lft-identity
10×add-cube-cbrt times-frac
7×add-exp-log add-cbrt-cube
5×associate-*r*
4×pow1 sub-neg add-log-exp
2×distribute-rgt-in frac-times associate-+l+ flip3-- distribute-lft-in associate-*r/ prod-exp flip-- cbrt-unprod unswap-sqr
1×cbrt-undiv +-commutative flip3-+ div-exp pow-prod-down associate-*l/ sum-log *-commutative flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 53
Calls

2 calls:

9.0ms
(* (/ x y) (- z t))
8.0ms
(+ (* (/ x y) (- z t)) t)

series27.0ms (1%)

Counts
2 → 6
Calls

2 calls:

16.0ms
(* (/ x y) (- z t))
11.0ms
(+ (* (/ x y) (- z t)) t)

simplify48.0ms (1.7%)

Algorithm
1×egg-herbie
Counts
59 → 59
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
04963583
14963583

prune103.0ms (3.7%)

Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New52759
Fresh000
Picked101
Done000
Total53760

Merged error: 0b

Counts
60 → 7

localize8.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b
(- t (* (/ x y) t))
4.4b
(* (/ x y) t)
5.2b
(* (/ x y) z)

rewrite17.0ms (0.6%)

Algorithm
1×rewrite-expression-head
Rules
29×add-sqr-sqrt
26×associate-*l*
20×*-un-lft-identity times-frac
19×add-cube-cbrt
13×add-exp-log add-cbrt-cube
7×pow1
6×associate-*r*
5×add-log-exp
4×prod-exp cbrt-unprod unswap-sqr
2×cbrt-undiv div-exp pow-prod-down associate-*l/ *-commutative div-inv
1×sub-neg flip3-- distribute-rgt-out-- diff-log flip--
Counts
3 → 76
Calls

3 calls:

6.0ms
(* (/ x y) z)
6.0ms
(* (/ x y) t)
3.0ms
(- t (* (/ x y) t))

series17.0ms (0.6%)

Counts
3 → 9
Calls

3 calls:

6.0ms
(- t (* (/ x y) t))
5.0ms
(* (/ x y) z)
5.0ms
(* (/ x y) t)

simplify45.0ms (1.6%)

Algorithm
1×egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
04958600
14958600

prune109.0ms (3.9%)

Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New84185
Fresh156
Picked101
Done000
Total86692

Merged error: 0b

Counts
92 → 6

localize8.0ms (0.3%)

Local error

Found 2 expressions with local error:

1.5b
(* t (- 1 (/ x y)))
5.2b
(* (/ x y) z)

rewrite20.0ms (0.7%)

Algorithm
1×rewrite-expression-head
Rules
27×add-sqr-sqrt
16×*-un-lft-identity associate-*l*
12×add-cube-cbrt times-frac
11×associate-*r*
9×add-exp-log add-cbrt-cube
6×pow1
4×difference-of-squares
3×prod-exp cbrt-unprod unswap-sqr
2×sub-neg associate-*r/ pow-prod-down *-commutative add-log-exp
1×cbrt-undiv distribute-rgt-in flip3-- distribute-lft-in div-exp associate-*l/ flip-- div-inv distribute-lft-out--
Counts
2 → 59
Calls

2 calls:

10.0ms
(* t (- 1 (/ x y)))
6.0ms
(* (/ x y) z)

series12.0ms (0.4%)

Counts
2 → 6
Calls

2 calls:

7.0ms
(* t (- 1 (/ x y)))
5.0ms
(* (/ x y) z)

simplify30.0ms (1.1%)

Algorithm
1×egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 0 (24.0ms)

IterNodesCost
04964469
14964469

prune93.0ms (3.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New65065
Fresh055
Picked011
Done000
Total65671

Merged error: 0b

Counts
71 → 6

localize15.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
2.0b
(* (- z t) (/ (cbrt x) y))
4.7b
(* (/ (* (cbrt x) (cbrt x)) 1) (* (- z t) (/ (cbrt x) y)))

rewrite34.0ms (1.2%)

Algorithm
1×rewrite-expression-head
Rules
66×add-exp-log
35×add-cbrt-cube
33×prod-exp
32×add-sqr-sqrt
24×*-un-lft-identity
23×times-frac associate-*r*
22×add-cube-cbrt
20×cbrt-unprod
18×div-exp
16×cbrt-prod
12×associate-*l*
11×pow1 frac-times
10×cbrt-undiv
8×associate-*r/
7×associate-*l/
6×flip3-- 1-exp flip--
4×pow-prod-down add-log-exp
3×unswap-sqr
2×pow1/3 *-commutative div-inv
1×distribute-lft-out-- difference-of-squares
Counts
4 → 123
Calls

4 calls:

15.0ms
(* (/ (* (cbrt x) (cbrt x)) 1) (* (- z t) (/ (cbrt x) y)))
11.0ms
(* (- z t) (/ (cbrt x) y))
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series95.0ms (3.4%)

Counts
4 → 12
Calls

4 calls:

35.0ms
(* (- z t) (/ (cbrt x) y))
21.0ms
(cbrt x)
21.0ms
(cbrt x)
17.0ms
(* (/ (* (cbrt x) (cbrt x)) 1) (* (- z t) (/ (cbrt x) y)))

simplify87.0ms (3.1%)

Algorithm
1×egg-herbie
Counts
135 → 135
Iterations

Useful iterations: 0 (77.0ms)

IterNodesCost
050291143

prune145.0ms (5.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1350135
Fresh044
Picked011
Done011
Total1356141

Merged error: 0b

Counts
141 → 6

regimes324.0ms (11.7%)

Accuracy

Total 1.8b remaining (98.9%)

Threshold costs 0b (0%)

bsearch53.0ms (1.9%)

Steps
ItersRangePoint
10
29298758301679.08
2.0069317320498233e+28
44607863226960.26
11
-2.8058922917959354e-211
-3.208255411025583e-237
-2.4028729871282748e-228

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05539
15539

end0.0ms (0%)

sample568.0ms (20.5%)

Algorithm
1×intervals
Results
253.0ms8000×body80valid
61.0ms2091×body80invalid

Profiling

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