Details

Time bar (total: 6.7s)

analyze1.8s (26.3%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.7%0.3%0
0%99.7%0.3%1
0%99.7%0.3%2
0%99.7%0.3%3
0%99.7%0.3%4
0%99.7%0.3%5
0%99.7%0.3%6
0%99.7%0.3%7
0%99.7%0.3%8
3.1%96.5%0.3%9
4.7%95%0.3%10
4.7%95%0.3%11
5.1%82.1%12.8%12
6.2%74.7%19%13
6.4%74.5%19%14

sample71.0ms (1.1%)

Algorithm
intervals
Results
24.0ms256×body80valid
17.0ms188×body80nan

simplify32.0ms (0.5%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (30.0ms)

IterNodesCost
0554533

prune11.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 5.2b

Counts
2 → 1

localize22.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b
(* z (sqrt (+ t a)))
0.3b
(/ 2.0 (* t 3.0))
2.9b
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
5.6b
(/ (* z (sqrt (+ t a))) t)

rewrite35.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
20×frac-sub
16×add-exp-log add-cbrt-cube
15×add-sqr-sqrt
13×*-un-lft-identity
11×add-cube-cbrt
flip3-- flip--
frac-times associate-*r/
associate-*r*
pow1 times-frac add-log-exp
flip3-+ sqrt-prod flip-+
cbrt-undiv sqrt-div div-exp associate-/r* associate-/l* associate--r+
sub-neg associate-*l* prod-exp cbrt-unprod
distribute-rgt-in frac-2neg distribute-lft-in associate-*l/ associate--l+ clear-num div-inv associate-/l/ unswap-sqr
diff-log pow-prod-down *-commutative distribute-lft-out
Counts
4 → 98
Calls

4 calls:

13.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
7.0ms
(/ (* z (sqrt (+ t a))) t)
7.0ms
(* z (sqrt (+ t a)))
4.0ms
(/ 2.0 (* t 3.0))

series82.0ms (1.2%)

Counts
4 → 12
Calls

4 calls:

49.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
19.0ms
(/ (* z (sqrt (+ t a))) t)
12.0ms
(* z (sqrt (+ t a)))
2.0ms
(/ 2.0 (* t 3.0))

simplify55.0ms (0.8%)

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
049652272
149652272

prune272.0ms (4.1%)

Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New1064110
Fresh000
Picked101
Done000
Total1074111

Merged error: 0.3b

Counts
111 → 4

localize28.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
1.3b
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
2.9b
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

rewrite56.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
63×add-sqr-sqrt
60×frac-sub
58×times-frac
47×*-un-lft-identity
46×associate-*r*
39×frac-times
35×add-cube-cbrt
31×cbrt-prod
28×sqrt-prod
27×associate-*r/
25×add-exp-log flip3-- flip--
21×associate-*l/
18×add-cbrt-cube
10×unswap-sqr
flip3-+ flip-+
prod-exp cbrt-unprod
cbrt-undiv div-exp associate-*l*
pow1 distribute-lft-out add-log-exp
associate--r+
sub-neg
distribute-rgt-in distribute-lft-in pow1/3 associate--l+ div-inv
diff-log pow-prod-down *-commutative
Counts
4 → 166
Calls

4 calls:

22.0ms
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
22.0ms
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
1.0ms
(cbrt t)
1.0ms
(cbrt t)

series123.0ms (1.8%)

Counts
4 → 12
Calls

4 calls:

59.0ms
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
22.0ms
(cbrt t)
21.0ms
(cbrt t)
20.0ms
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))

simplify70.0ms (1%)

Algorithm
egg-herbie
Counts
178 → 178
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
049845977
149845977

prune502.0ms (7.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1780178
Fresh033
Picked011
Done000
Total1784182

Merged error: 0.3b

Counts
182 → 4

localize26.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.3b
(/ 2.0 (* t 3.0))
2.0b
(log (exp (/ 2.0 (* t 3.0))))
5.6b
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (log (exp (/ 2.0 (* t 3.0)))))))
5.6b
(/ (* z (sqrt (+ t a))) t)

rewrite36.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
14×add-exp-log add-cbrt-cube
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
times-frac
log-pow frac-sub
exp-prod flip3-- flip--
add-log-exp
pow1
cbrt-undiv frac-times associate-*r/ div-exp associate-/r* associate-/l* associate--r+
sub-neg log-prod div-inv
distribute-rgt-in frac-2neg distribute-lft-in sqrt-div associate-*l/ prod-exp associate--l+ clear-num cbrt-unprod associate-/l/
flip3-+ diff-log rem-log-exp flip-+
Counts
4 → 86
Calls

4 calls:

17.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (log (exp (/ 2.0 (* t 3.0)))))))
7.0ms
(/ (* z (sqrt (+ t a))) t)
5.0ms
(/ 2.0 (* t 3.0))
4.0ms
(log (exp (/ 2.0 (* t 3.0))))

series72.0ms (1.1%)

Counts
4 → 12
Calls

4 calls:

51.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (log (exp (/ 2.0 (* t 3.0)))))))
17.0ms
(/ (* z (sqrt (+ t a))) t)
2.0ms
(log (exp (/ 2.0 (* t 3.0))))
2.0ms
(/ 2.0 (* t 3.0))

simplify61.0ms (0.9%)

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
050351665

prune249.0ms (3.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New98098
Fresh022
Picked011
Done011
Total984102

Merged error: 0.3b

Counts
102 → 4

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b
(* c (+ a 0.8333333333333334))
0.0b
(exp (* 2.0 (- (* c (+ a 0.8333333333333334)) (* a b))))
0.2b
(* y (exp (* 2.0 (- (* c (+ a 0.8333333333333334)) (* a b)))))
0.9b
(- (* c (+ a 0.8333333333333334)) (* a b))

rewrite26.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
13×associate-*r*
12×distribute-rgt-in add-sqr-sqrt distribute-lft-in exp-sum
10×*-un-lft-identity associate--l+
pow1 add-cube-cbrt add-cbrt-cube add-log-exp
add-exp-log
associate-*l*
sub-neg
associate-*r/ pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
exp-prod flip3-- exp-to-pow flip3-+ diff-log flip-- flip-+ rem-exp-log distribute-lft-out
Counts
4 → 76
Calls

4 calls:

8.0ms
(* y (exp (* 2.0 (- (* c (+ a 0.8333333333333334)) (* a b)))))
6.0ms
(- (* c (+ a 0.8333333333333334)) (* a b))
6.0ms
(* c (+ a 0.8333333333333334))
4.0ms
(exp (* 2.0 (- (* c (+ a 0.8333333333333334)) (* a b))))

series52.0ms (0.8%)

Counts
4 → 12
Calls

4 calls:

24.0ms
(* y (exp (* 2.0 (- (* c (+ a 0.8333333333333334)) (* a b)))))
12.0ms
(exp (* 2.0 (- (* c (+ a 0.8333333333333334)) (* a b))))
10.0ms
(- (* c (+ a 0.8333333333333334)) (* a b))
5.0ms
(* c (+ a 0.8333333333333334))

simplify48.0ms (0.7%)

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
04997970
14997970

prune142.0ms (2.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New87188
Fresh011
Picked011
Done112
Total88492

Merged error: 0.2b

Counts
92 → 4

regimes666.0ms (9.9%)

Accuracy

Total 1.6b remaining (83.7%)

Threshold costs 0b (0%)

bsearch124.0ms (1.9%)

Steps
ItersRangePoint
9
2.014720174304216e-127
7.1248934196325385e-118
2.5292981124674526e-127
9
-1.0691380559601449e-142
-1.755014413416689e-148
-3.433275005074214e-144

simplify16.0ms (0.2%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (15.0ms)

IterNodesCost
0866116
1866116

end0.0ms (0%)

sample2.1s (30.6%)

Algorithm
intervals
Results
997.0ms8000×body80valid
491.0ms5147×body80nan

Profiling

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