Details

Time bar (total: 2.7s)

analyze644.0ms (23.5%)

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
16.4%83.4%0.2%9
21.4%78.4%0.2%10
25.9%73.3%0.8%11
28%70.2%1.9%12
39.6%55.8%4.6%13
43.9%50.4%5.8%14

sample27.0ms (1%)

Algorithm
1×intervals
Results
12.0ms256×body80valid
2.0ms64×body80invalid

simplify34.0ms (1.2%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
07339
17339

prune10.0ms (0.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 2

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(/ (- z x) t)
0.0b
(+ x (* y (/ (- z x) t)))
6.6b
(* y (/ (- z x) t))

rewrite20.0ms (0.7%)

Algorithm
1×rewrite-expression-head
Rules
42×add-sqr-sqrt
37×*-un-lft-identity
31×times-frac
23×add-cube-cbrt
19×associate-*r*
10×add-exp-log add-cbrt-cube
7×distribute-lft-out-- difference-of-squares
5×pow1 associate-/l* add-log-exp
3×associate-*l* associate-/r*
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×+-commutative flip3-- frac-2neg flip3-+ div-sub associate-*r/ pow-prod-down clear-num sum-log *-commutative flip-- flip-+
Counts
3 → 87
Calls

3 calls:

9.0ms
(* y (/ (- z x) t))
5.0ms
(/ (- z x) t)
3.0ms
(+ x (* y (/ (- z x) t)))

series32.0ms (1.2%)

Counts
3 → 9
Calls

3 calls:

13.0ms
(* y (/ (- z x) t))
11.0ms
(+ x (* y (/ (- z x) t)))
8.0ms
(/ (- z x) t)

simplify51.0ms (1.9%)

Algorithm
1×egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
05894889

prune132.0ms (4.8%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New90696
Fresh011
Picked011
Done000
Total90898

Merged error: 0.0b

Counts
98 → 8

localize15.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- z x))
0.5b
(cbrt (- z x))
0.5b
(cbrt (- z x))
1.7b
(* y (* (cbrt (- z x)) (/ (cbrt (- z x)) (* (cbrt t) (cbrt t)))))

rewrite27.0ms (1%)

Algorithm
1×rewrite-expression-head
Rules
18×add-exp-log
15×cbrt-prod
14×add-sqr-sqrt *-un-lft-identity
11×add-cbrt-cube
10×cbrt-div
9×pow1
8×add-cube-cbrt prod-exp cbrt-unprod
6×associate-*r/
5×flip3-- flip--
4×add-log-exp
3×pow1/3 associate-*l* pow-prod-down distribute-lft-out-- difference-of-squares
2×cbrt-undiv frac-times div-exp associate-*l/
1×associate-*r* *-commutative
Counts
4 → 72
Calls

4 calls:

15.0ms
(* y (* (cbrt (- z x)) (/ (cbrt (- z x)) (* (cbrt t) (cbrt t)))))
3.0ms
(cbrt (- z x))
3.0ms
(cbrt (- z x))
3.0ms
(cbrt (- z x))

series134.0ms (4.9%)

Counts
4 → 12
Calls

4 calls:

52.0ms
(* y (* (cbrt (- z x)) (/ (cbrt (- z x)) (* (cbrt t) (cbrt t)))))
29.0ms
(cbrt (- z x))
27.0ms
(cbrt (- z x))
26.0ms
(cbrt (- z x))

simplify54.0ms (2%)

Algorithm
1×egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
05040910

prune124.0ms (4.5%)

Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New84084
Fresh066
Picked011
Done011
Total84892

Merged error: 0.0b

Counts
92 → 8

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(* y (- z x))
0.0b
(+ x (/ (* y (- z x)) t))
7.3b
(/ (* y (- z x)) t)

rewrite22.0ms (0.8%)

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

3 calls:

9.0ms
(* y (- z x))
7.0ms
(/ (* y (- z x)) t)
5.0ms
(+ x (/ (* y (- z x)) t))

series31.0ms (1.1%)

Counts
3 → 9
Calls

3 calls:

12.0ms
(/ (* y (- z x)) t)
11.0ms
(+ x (/ (* y (- z x)) t))
7.0ms
(* y (- z x))

simplify40.0ms (1.4%)

Algorithm
1×egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
05612574

prune91.0ms (3.3%)

Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New66268
Fresh235
Picked011
Done022
Total68876

Merged error: 0b

Counts
76 → 8

localize7.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ y (/ t (- z x))))
0.0b
(/ t (- z x))
6.1b
(/ y (/ t (- z x)))

rewrite37.0ms (1.4%)

Algorithm
1×rewrite-expression-head
Rules
138×times-frac
105×*-un-lft-identity
103×add-sqr-sqrt
71×add-cube-cbrt
26×associate-/r*
16×distribute-lft-out-- difference-of-squares
11×associate-/r/
10×add-exp-log add-cbrt-cube
6×div-inv associate-/l*
5×flip3-- flip-- add-log-exp
4×cbrt-undiv div-exp
3×pow1
2×frac-2neg clear-num
1×+-commutative flip3-+ sum-log flip-+ distribute-lft-out
Counts
3 → 151
Calls

3 calls:

17.0ms
(+ x (/ y (/ t (- z x))))
8.0ms
(/ y (/ t (- z x)))
5.0ms
(/ t (- z x))

series35.0ms (1.3%)

Counts
3 → 9
Calls

3 calls:

14.0ms
(+ x (/ y (/ t (- z x))))
13.0ms
(/ y (/ t (- z x)))
7.0ms
(/ t (- z x))

simplify52.0ms (1.9%)

Algorithm
1×egg-herbie
Counts
160 → 160
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
050392025

prune164.0ms (6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1591160
Fresh224
Picked011
Done213
Total1635168

Merged error: 0b

Counts
168 → 5

regimes305.0ms (11.1%)

Accuracy

Total 2.8b remaining (99.2%)

Threshold costs 0b (0%)

bsearch28.0ms (1%)

Steps
ItersRangePoint
10
-5.320726154167251e-161
-1.3680780669101328e-177
-2.586633332464155e-162

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02824
12824

end0.0ms (0%)

sample611.0ms (22.3%)

Algorithm
1×intervals
Results
263.0ms8000×body80valid
75.0ms2092×body80invalid

Profiling

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