Details

Time bar (total: 6.6s)

analyze859.0ms (13.1%)

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
0%90.4%9.6%9
0%45.2%54.8%10
0%45.2%54.8%11
0%45.2%54.8%12
0%45.2%54.8%13
0%44.4%55.6%14

sample121.0ms (1.8%)

Algorithm
intervals
Results
30.0ms350×body80nan
23.0ms227×body80valid
17.0ms186×body80invalid
4.0msbody640valid
3.0msbody1280valid
3.0msbody320valid
2.0msbody160valid
1.0msbody320invalid
1.0msbody1280invalid
0.0msbody160invalid
0.0msbody640invalid

simplify38.0ms (0.6%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
0499717
1499717

prune16.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 1.6b

Counts
2 → 2

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b
(* x (exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))))
0.0b
(exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b))))
0.1b
(* y (- (log z) t))
5.7b
(log (- 1.0 z))

rewrite54.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
17×*-un-lft-identity
12×add-cube-cbrt
11×log-prod
10×pow1 associate-*r*
add-exp-log add-cbrt-cube
add-log-exp
associate-*l* associate--l+
distribute-rgt-in distribute-lft-in
exp-prod distribute-lft-out--
sub-neg log-div flip3-- associate-*r/ exp-sum pow-prod-down prod-exp log-pow *-commutative flip-- cbrt-unprod rem-exp-log difference-of-squares unswap-sqr
rem-log-exp sum-log
Counts
4 → 79
Calls

4 calls:

17.0ms
(* x (exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))))
17.0ms
(exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b))))
14.0ms
(* y (- (log z) t))
5.0ms
(log (- 1.0 z))

series134.0ms (2%)

Counts
4 → 12
Calls

4 calls:

68.0ms
(* x (exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))))
49.0ms
(exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b))))
14.0ms
(* y (- (log z) t))
3.0ms
(log (- 1.0 z))

simplify59.0ms (0.9%)

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
049841085
149841085

prune209.0ms (3.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New88391
Fresh101
Picked101
Done000
Total90393

Merged error: 0.0b

Counts
93 → 3

localize22.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b
(* a (- (+ (log 1.0) (- (* (* z (/ z (* 1.0 1.0))) -1/2) (* 1.0 z))) b))
0.0b
(* x (exp (+ (* y (- (log z) t)) (* a (- (+ (log 1.0) (- (* (* z (/ z (* 1.0 1.0))) -1/2) (* 1.0 z))) b)))))
0.0b
(exp (+ (* y (- (log z) t)) (* a (- (+ (log 1.0) (- (* (* z (/ z (* 1.0 1.0))) -1/2) (* 1.0 z))) b))))
0.1b
(* y (- (log z) t))

rewrite67.0ms (1%)

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt *-un-lft-identity
17×associate-*r*
13×add-cube-cbrt
12×pow1
10×add-cbrt-cube
add-exp-log associate-*l*
associate--l+
add-log-exp
distribute-rgt-in log-prod distribute-lft-in
distribute-lft-out--
sub-neg associate-*r/
exp-prod pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
flip3-- exp-sum log-pow flip-- rem-exp-log distribute-lft-out difference-of-squares
sum-log
Counts
4 → 91
Calls

4 calls:

22.0ms
(* x (exp (+ (* y (- (log z) t)) (* a (- (+ (log 1.0) (- (* (* z (/ z (* 1.0 1.0))) -1/2) (* 1.0 z))) b)))))
18.0ms
(* a (- (+ (log 1.0) (- (* (* z (/ z (* 1.0 1.0))) -1/2) (* 1.0 z))) b))
17.0ms
(exp (+ (* y (- (log z) t)) (* a (- (+ (log 1.0) (- (* (* z (/ z (* 1.0 1.0))) -1/2) (* 1.0 z))) b))))
7.0ms
(* y (- (log z) t))

series181.0ms (2.8%)

Counts
4 → 12
Calls

4 calls:

92.0ms
(* x (exp (+ (* y (- (log z) t)) (* a (- (+ (log 1.0) (- (* (* z (/ z (* 1.0 1.0))) -1/2) (* 1.0 z))) b)))))
57.0ms
(exp (+ (* y (- (log z) t)) (* a (- (+ (log 1.0) (- (* (* z (/ z (* 1.0 1.0))) -1/2) (* 1.0 z))) b))))
19.0ms
(* a (- (+ (log 1.0) (- (* (* z (/ z (* 1.0 1.0))) -1/2) (* 1.0 z))) b))
14.0ms
(* y (- (log z) t))

simplify48.0ms (0.7%)

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
050131848

prune244.0ms (3.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1030103
Fresh022
Picked011
Done000
Total1033106

Merged error: 0.0b

Counts
106 → 3

localize18.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b
(* (pow (/ z (exp t)) y) x)
0.5b
(* (* (pow (/ z (exp t)) y) x) (exp (* a (- (log (- 1.0 z)) b))))
0.7b
(pow (/ z (exp t)) y)
5.7b
(log (- 1.0 z))

rewrite34.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
39×add-sqr-sqrt
31×*-un-lft-identity
28×unpow-prod-down
25×add-cube-cbrt
22×add-exp-log
19×times-frac
18×associate-*r* associate-*l*
15×log-prod
13×prod-exp
12×exp-sum
11×add-cbrt-cube
10×associate--l+
pow1
distribute-rgt-in distribute-lft-in pow-exp
cbrt-unprod add-log-exp unswap-sqr
pow-to-exp pow-unpow div-exp distribute-lft-out-- difference-of-squares sqr-pow
sub-neg log-div *-commutative div-inv
flip3-- pow-pow rem-log-exp pow-prod-down log-pow flip--
Counts
4 → 113
Calls

4 calls:

14.0ms
(* (* (pow (/ z (exp t)) y) x) (exp (* a (- (log (- 1.0 z)) b))))
8.0ms
(* (pow (/ z (exp t)) y) x)
5.0ms
(pow (/ z (exp t)) y)
3.0ms
(log (- 1.0 z))

series257.0ms (3.9%)

Counts
4 → 12
Calls

4 calls:

184.0ms
(* (* (pow (/ z (exp t)) y) x) (exp (* a (- (log (- 1.0 z)) b))))
48.0ms
(* (pow (/ z (exp t)) y) x)
22.0ms
(pow (/ z (exp t)) y)
3.0ms
(log (- 1.0 z))

simplify79.0ms (1.2%)

Algorithm
egg-herbie
Counts
125 → 125
Iterations

Useful iterations: 0 (69.0ms)

IterNodesCost
049641431
149641431

prune216.0ms (3.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1250125
Fresh011
Picked011
Done011
Total1253128

Merged error: 0.0b

Counts
128 → 3

localize19.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.7b
(pow (/ z (exp t)) y)
2.5b
(pow (/ (- 1.0 z) (exp b)) a)

rewrite17.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
32×unpow-prod-down
30×add-sqr-sqrt *-un-lft-identity
24×add-cube-cbrt times-frac
add-exp-log
pow1 cbrt-prod pow-unpow
pow-exp add-cbrt-cube add-log-exp
distribute-lft-out-- difference-of-squares
pow-to-exp pow-pow pow1/3 div-exp div-inv sqr-pow
Counts
4 → 84
Calls

4 calls:

8.0ms
(pow (/ (- 1.0 z) (exp b)) a)
5.0ms
(pow (/ z (exp t)) y)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series122.0ms (1.9%)

Counts
4 → 12
Calls

4 calls:

37.0ms
(cbrt x)
35.0ms
(pow (/ (- 1.0 z) (exp b)) a)
26.0ms
(cbrt x)
24.0ms
(pow (/ z (exp t)) y)

simplify68.0ms (1%)

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 0 (58.0ms)

IterNodesCost
04930948
14930948

prune182.0ms (2.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New95196
Fresh000
Picked101
Done022
Total96399

Merged error: 0.0b

Counts
99 → 3

regimes418.0ms (6.4%)

Accuracy

Total 0.0b remaining (2%)

Threshold costs 0.0b (2%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
07430
17430

end0.0ms (0%)

sample3.1s (46.7%)

Algorithm
intervals
Results
833.0ms10377×body80nan
590.0ms7174×body80valid
425.0ms5129×body80invalid
115.0ms264×body640valid
80.0ms291×body320valid
46.0ms54×body1280valid
45.0ms102×body640invalid
37.0ms217×body160valid
35.0ms132×body320invalid
16.0ms93×body160invalid
14.0ms19×body1280invalid

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