Details

Time bar (total: 5.8s)

analyze1.0s (17.8%)

Algorithm
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
0%99.8%0.2%9
1.8%98%0.2%10
7.7%92.1%0.2%11
10.4%89.4%0.2%12
14.9%84.9%0.2%13
16.2%83.5%0.3%14

sample36.0ms (0.6%)

Algorithm
intervals
Results
12.0ms201×body80valid
2.0ms17×body640valid
2.0ms48×body80invalid
2.0ms15×body320valid
1.0msbody1280valid
1.0ms14×body160valid
0.0msbody2560valid

simplify54.0ms (0.9%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
0491213
1491213

prune13.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 12.5b

Counts
2 → 2

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(/ (- z t) (- a t))
1.9b
(* (- y x) (/ (- z t) (- a t)))
3.0b
(+ x (* (- y x) (/ (- z t) (- a t))))

rewrite36.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
78×add-sqr-sqrt
73×*-un-lft-identity
51×times-frac
31×associate-*r*
27×add-cube-cbrt
23×distribute-lft-out-- difference-of-squares
10×add-exp-log add-cbrt-cube
pow1 flip3-- associate-*l* associate-/r* flip-- associate-/l* add-log-exp
associate-/r/
cbrt-undiv frac-times div-exp associate-*l/ prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
+-commutative frac-2neg flip3-+ div-sub associate-*r/ pow-prod-down clear-num sum-log *-commutative flip-+
Counts
3 → 119
Calls

3 calls:

17.0ms
(* (- y x) (/ (- z t) (- a t)))
8.0ms
(/ (- z t) (- a t))
4.0ms
(+ x (* (- y x) (/ (- z t) (- a t))))

series95.0ms (1.6%)

Counts
3 → 9
Calls

3 calls:

50.0ms
(+ x (* (- y x) (/ (- z t) (- a t))))
35.0ms
(* (- y x) (/ (- z t) (- a t)))
9.0ms
(/ (- z t) (- a t))

simplify42.0ms (0.7%)

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
050681606

prune208.0ms (3.6%)

Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New11810128
Fresh011
Picked101
Done000
Total11911130

Merged error: 3.5b

Counts
130 → 11

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (- a t))
0.2b
(* (- z t) (/ 1 (- a t)))
1.9b
(* (- y x) (* (- z t) (/ 1 (- a t))))
3.7b
(+ x (* (- y x) (* (- z t) (/ 1 (- a t)))))

rewrite43.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
50×add-sqr-sqrt
44×*-un-lft-identity
32×add-exp-log times-frac
25×add-cube-cbrt
22×associate-*r*
20×frac-times add-cbrt-cube
17×flip3-- flip--
13×prod-exp
12×pow1
10×associate-*r/ associate-*l* associate-*l/
distribute-lft-out-- difference-of-squares
cbrt-unprod
div-exp add-log-exp
associate-/r*
pow-prod-down associate-/r/ un-div-inv
cbrt-undiv rec-exp 1-exp associate-/l* unswap-sqr
*-commutative div-inv
+-commutative pow-flip frac-2neg flip3-+ clear-num sum-log flip-+ inv-pow
Counts
4 → 146
Calls

4 calls:

15.0ms
(* (- y x) (* (- z t) (/ 1 (- a t))))
13.0ms
(* (- z t) (/ 1 (- a t)))
5.0ms
(/ 1 (- a t))
4.0ms
(+ x (* (- y x) (* (- z t) (/ 1 (- a t)))))

series99.0ms (1.7%)

Counts
4 → 12
Calls

4 calls:

53.0ms
(+ x (* (- y x) (* (- z t) (/ 1 (- a t)))))
32.0ms
(* (- y x) (* (- z t) (/ 1 (- a t))))
9.0ms
(* (- z t) (/ 1 (- a t)))
4.0ms
(/ 1 (- a t))

simplify48.0ms (0.8%)

Algorithm
egg-herbie
Counts
158 → 158
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
057481773

prune228.0ms (3.9%)

Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New1562158
Fresh1910
Picked011
Done000
Total15712169

Merged error: 3.5b

Counts
169 → 12

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

1.9b
(cbrt (* (- y x) (/ (- z t) (- a t))))
1.9b
(cbrt (* (- y x) (/ (- z t) (- a t))))
1.9b
(cbrt (* (- y x) (/ (- z t) (- a t))))
9.6b
(+ x (* (* (cbrt (* (- y x) (/ (- z t) (- a t)))) (cbrt (* (- y x) (/ (- z t) (- a t))))) (cbrt (* (- y x) (/ (- z t) (- a t))))))

rewrite36.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
15×cbrt-div
frac-times flip3-- associate-*l/ flip-- add-log-exp
pow1 add-exp-log add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-cbrt-cube
cbrt-prod pow1/3 associate-*r/
+-commutative flip3-+ sum-log flip-+
Counts
4 → 53
Calls

4 calls:

11.0ms
(cbrt (* (- y x) (/ (- z t) (- a t))))
10.0ms
(cbrt (* (- y x) (/ (- z t) (- a t))))
10.0ms
(cbrt (* (- y x) (/ (- z t) (- a t))))
3.0ms
(+ x (* (* (cbrt (* (- y x) (/ (- z t) (- a t)))) (cbrt (* (- y x) (/ (- z t) (- a t))))) (cbrt (* (- y x) (/ (- z t) (- a t))))))

series1.6s (27.7%)

Counts
4 → 12
Calls

4 calls:

517.0ms
(cbrt (* (- y x) (/ (- z t) (- a t))))
515.0ms
(cbrt (* (- y x) (/ (- z t) (- a t))))
514.0ms
(cbrt (* (- y x) (/ (- z t) (- a t))))
54.0ms
(+ x (* (* (cbrt (* (- y x) (/ (- z t) (- a t)))) (cbrt (* (- y x) (/ (- z t) (- a t))))) (cbrt (* (- y x) (/ (- z t) (- a t))))))

simplify46.0ms (0.8%)

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
04974976
14974976

prune131.0ms (2.3%)

Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New63265
Fresh01010
Picked101
Done011
Total641377

Merged error: 3.5b

Counts
77 → 13

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- z t))
0.5b
(cbrt (- z t))
1.9b
(* (- y x) (/ (* (cbrt (- z t)) (cbrt (- z t))) (/ (- a t) (cbrt (- z t)))))
9.3b
(+ x (* (- y x) (/ (* (cbrt (- z t)) (cbrt (- z t))) (/ (- a t) (cbrt (- z t))))))

rewrite50.0ms (0.9%)

Algorithm
rewrite-expression-head
Rules
91×times-frac
69×add-sqr-sqrt
59×*-un-lft-identity
51×associate-*r*
36×cbrt-prod
27×add-cube-cbrt
22×add-exp-log
16×add-cbrt-cube distribute-lft-out-- difference-of-squares
prod-exp cbrt-unprod
pow1 cbrt-undiv cbrt-div div-exp add-log-exp
flip3-- associate-*l* flip--
unswap-sqr
associate-/r/
frac-times pow1/3 associate-*l/ div-inv
+-commutative flip3-+ associate-*r/ pow-prod-down sum-log *-commutative flip-+
Counts
4 → 125
Calls

4 calls:

31.0ms
(* (- y x) (/ (* (cbrt (- z t)) (cbrt (- z t))) (/ (- a t) (cbrt (- z t)))))
6.0ms
(+ x (* (- y x) (/ (* (cbrt (- z t)) (cbrt (- z t))) (/ (- a t) (cbrt (- z t))))))
3.0ms
(cbrt (- z t))
3.0ms
(cbrt (- z t))

series141.0ms (2.4%)

Counts
4 → 12
Calls

4 calls:

54.0ms
(+ x (* (- y x) (/ (* (cbrt (- z t)) (cbrt (- z t))) (/ (- a t) (cbrt (- z t))))))
33.0ms
(* (- y x) (/ (* (cbrt (- z t)) (cbrt (- z t))) (/ (- a t) (cbrt (- z t)))))
28.0ms
(cbrt (- z t))
26.0ms
(cbrt (- z t))

simplify54.0ms (0.9%)

Algorithm
egg-herbie
Counts
137 → 137
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
049821987
149821987

prune158.0ms (2.7%)

Pruning

14 alts after pruning (12 fresh and 2 done)

PrunedKeptTotal
New1343137
Fresh2911
Picked011
Done011
Total13614150

Merged error: 3.5b

Counts
150 → 14

regimes721.0ms (12.5%)

Accuracy

Total 6.0b remaining (62.2%)

Threshold costs 0b (0%)

bsearch44.0ms (0.8%)

Steps
ItersRangePoint
8
6.2247499134144e+227
2.220027108045481e+232
7.458063591943005e+227
7
-4.470434677069786e+126
-1.9792391991237106e+124
-3.729866009828819e+126

simplify2.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
08537
18537

end0.0ms (0%)

sample821.0ms (14.2%)

Algorithm
intervals
Results
272.0ms6533×body80valid
67.0ms492×body640valid
50.0ms287×body1280valid
45.0ms1209×body80invalid
41.0ms388×body320valid
22.0ms272×body160valid
6.0ms28×body2560valid

Profiling

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