Details

Time bar (total: 9.5s)

sample265.0ms

Algorithm
intervals
Results
92.0ms1332×body80nan
32.0ms422×body80valid
7.0ms16×body640valid
5.0ms17×body320valid
2.0msbody1280valid
2.0ms11×body160valid

simplify36.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03010
15810
212910
331810
4107310
5500110

prune7.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 2.0b

Counts
2 → 1

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (log z) t)
0.1b
(exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b))))
0.1b
(* y (- (log z) t))
5.3b
(log (- 1.0 z))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt *-un-lft-identity
14×log-prod
11×add-cube-cbrt
pow1 associate--l+
add-log-exp
add-exp-log
associate-*r* add-cbrt-cube
distribute-rgt-in distribute-lft-in distribute-lft-out--
sub-neg exp-prod flip3-- associate-*l* log-pow flip-- difference-of-squares
log-div associate-*r/ rem-exp-log
diff-log rem-log-exp exp-sum pow-prod-down prod-exp sum-log *-commutative cbrt-unprod unswap-sqr
Counts
4 → 80
Calls
4 calls:
4.0ms
(- (log z) t)
8.0ms
(exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b))))
7.0ms
(* y (- (log z) t))
3.0ms
(log (- 1.0 z))

series77.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(- (log z) t)
49.0ms
(exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b))))
16.0ms
(* y (- (log z) t))
3.0ms
(log (- 1.0 z))

simplify40.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0420560
11398499
25002464

prune658.0ms

Filtered
92 candidates to 62 candidates (32.6%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New91192
Fresh000
Picked101
Done000
Total92193

Merged error: 0.0b

Counts
93 → 1

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
27×*-un-lft-identity
25×associate--l+
24×add-sqr-sqrt
15×log-prod
14×add-cube-cbrt
13×associate-*r*
12×distribute-rgt-in distribute-lft-in
11×pow1
distribute-lft-out--
add-exp-log add-cbrt-cube add-log-exp
sub-neg
associate-*l*
associate-*r/
exp-prod flip3-- log-pow flip-- difference-of-squares
pow-prod-down prod-exp *-commutative cbrt-unprod rem-exp-log unswap-sqr
diff-log exp-sum sum-log
Counts
4 → 102
Calls
4 calls:
4.0ms
(- (log z) t)
20.0ms
(exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))))
18.0ms
(* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))
7.0ms
(* y (- (log z) t))

series106.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(- (log z) t)
63.0ms
(exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))))
20.0ms
(* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))
13.0ms
(* y (- (log z) t))

simplify53.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
04861034
11835925
25001900

prune701.0ms

Filtered
114 candidates to 69 candidates (39.5%)
Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New1140114
Fresh000
Picked011
Done000
Total1141115

Merged error: 0.0b

Counts
115 → 1

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03216
13216

end0.0ms

sample7.4s

Algorithm
intervals
Results
2.8s40514×body80nan
970.0ms12420×body80valid
163.0ms393×body640valid
113.0ms423×body320valid
59.0ms72×body1280valid
50.0ms300×body160valid

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