Details

Time bar (total: 7.3s)

analyze845.0ms

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
6.2%90.4%3.4%6
6.2%90.4%3.4%7
6.2%88.8%5%8
7.8%77.9%14.3%9
7.8%56.5%35.7%10
7.8%56.5%35.7%11
8.1%41.5%50.3%12
8.3%41.4%50.3%13
8.4%40.2%51.4%14

sample108.0ms

Algorithm
intervals
Results
29.0ms450×body80nan
23.0ms256×body80valid
18.0ms235×body80invalid

simplify38.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
0504216

prune19.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.3b

Counts
2 → 2

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (- t 1.0) (log a))
0.3b
(* y (log z))
1.0b
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.2b
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
19×*-un-lft-identity
15×add-cube-cbrt
13×add-cbrt-cube
12×add-exp-log log-prod
10×pow1 add-log-exp
associate-*r* associate-*l*
distribute-rgt-in distribute-lft-in
exp-prod
times-frac prod-exp associate-/r* cbrt-unprod rem-exp-log
cbrt-undiv exp-diff diff-log div-exp exp-sum pow-prod-down associate-*l/ log-pow *-commutative distribute-lft-out-- difference-of-squares unswap-sqr
sub-neg flip3-- frac-2neg associate-*r/ associate--l+ clear-num sum-log flip-- div-inv associate-/l/ associate-/l*
Counts
4 → 94
Calls
4 calls:
7.0ms
(* (- t 1.0) (log a))
4.0ms
(* y (log z))
7.0ms
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
11.0ms
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

series128.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(* (- t 1.0) (log a))
7.0ms
(* y (log z))
44.0ms
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
68.0ms
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

simplify35.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 0 (26.0ms)

IterNodesCost
050531223

prune198.0ms

Filtered
75 candidates to 106 candidates (-41.3%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New1006106
Fresh101
Picked101
Done000
Total1026108

Merged error: 0b

Counts
108 → 6

localize22.0ms

Local error

Found 4 expressions with local error:

0.1b
(* x (/ (* (pow a (neg 1.0)) (pow 1 (+ t y))) (exp (- (- b (* y (log z))) (* t (log a))))))
0.3b
(* y (log z))
0.3b
(* t (log a))
1.2b
(/ (* x (/ (* (pow a (neg 1.0)) (pow 1 (+ t y))) (exp (- (- b (* y (log z))) (* t (log a)))))) y)

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
84×add-exp-log
54×prod-exp
41×div-exp
31×add-cbrt-cube
23×add-sqr-sqrt
20×pow-exp
18×associate-*r*
17×add-cube-cbrt *-un-lft-identity
14×pow-to-exp
12×pow1 log-prod
10×cbrt-unprod
associate-*l*
cbrt-undiv times-frac
distribute-rgt-in distribute-lft-in 1-exp
add-log-exp
pow-prod-down associate-/r* *-commutative unswap-sqr
sub-neg associate-*r/ exp-sum log-pow div-inv
frac-2neg exp-diff associate--l+ clear-num associate-/r/ associate-/l/ associate-/l*
Counts
4 → 128
Calls
4 calls:
14.0ms
(* x (/ (* (pow a (neg 1.0)) (pow 1 (+ t y))) (exp (- (- b (* y (log z))) (* t (log a))))))
4.0ms
(* y (log z))
4.0ms
(* t (log a))
15.0ms
(/ (* x (/ (* (pow a (neg 1.0)) (pow 1 (+ t y))) (exp (- (- b (* y (log z))) (* t (log a)))))) y)

series307.0ms

Counts
4 → 12
Calls
4 calls:
146.0ms
(* x (/ (* (pow a (neg 1.0)) (pow 1 (+ t y))) (exp (- (- b (* y (log z))) (* t (log a))))))
7.0ms
(* y (log z))
7.0ms
(* t (log a))
147.0ms
(/ (* x (/ (* (pow a (neg 1.0)) (pow 1 (+ t y))) (exp (- (- b (* y (log z))) (* t (log a)))))) y)

simplify77.0ms

Algorithm
egg-herbie
Counts
140 → 140
Iterations

Useful iterations: 0 (63.0ms)

IterNodesCost
049422036
149422036

prune210.0ms

Filtered
79 candidates to 140 candidates (-77.2%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1391140
Fresh145
Picked011
Done000
Total1406146

Merged error: 0b

Counts
146 → 6

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b
(/ (pow a (- t 1.0)) (exp b))
0.5b
(/ (pow a (- t 1.0)) (exp b))
0.5b
(/ (pow a (- t 1.0)) (exp b))
1.2b
(/ (* x (* (* (cbrt (* (pow z y) (/ (pow a (- t 1.0)) (exp b)))) (cbrt (* (pow z y) (/ (pow a (- t 1.0)) (exp b))))) (cbrt (* (pow z y) (/ (pow a (- t 1.0)) (exp b)))))) y)

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
75×times-frac
57×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
36×unpow-prod-down
25×associate-/l*
24×add-exp-log
22×associate-*r/
20×add-cbrt-cube
13×div-exp
12×unpow-prod-up sub-neg cbrt-div associate-/r* sqr-pow
10×associate-/l/
cbrt-undiv
prod-exp cbrt-unprod
frac-times associate-*l/
pow1 frac-2neg clear-num div-inv add-log-exp
pow-to-exp pow-exp pow-sub
Counts
4 → 182
Calls
4 calls:
6.0ms
(/ (pow a (- t 1.0)) (exp b))
6.0ms
(/ (pow a (- t 1.0)) (exp b))
6.0ms
(/ (pow a (- t 1.0)) (exp b))
14.0ms
(/ (* x (* (* (cbrt (* (pow z y) (/ (pow a (- t 1.0)) (exp b)))) (cbrt (* (pow z y) (/ (pow a (- t 1.0)) (exp b))))) (cbrt (* (pow z y) (/ (pow a (- t 1.0)) (exp b)))))) y)

series141.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(/ (pow a (- t 1.0)) (exp b))
22.0ms
(/ (pow a (- t 1.0)) (exp b))
21.0ms
(/ (pow a (- t 1.0)) (exp b))
76.0ms
(/ (* x (* (* (cbrt (* (pow z y) (/ (pow a (- t 1.0)) (exp b)))) (cbrt (* (pow z y) (/ (pow a (- t 1.0)) (exp b))))) (cbrt (* (pow z y) (/ (pow a (- t 1.0)) (exp b)))))) y)

simplify90.0ms

Algorithm
egg-herbie
Counts
194 → 194
Iterations

Useful iterations: 0 (70.0ms)

IterNodesCost
054172692

prune521.0ms

Filtered
147 candidates to 194 candidates (-32.0%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1940194
Fresh044
Picked011
Done011
Total1946200

Merged error: 0b

Counts
200 → 6

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b
(pow a (- t 1.0))
0.2b
(* (pow z y) (pow a (- t 1.0)))
0.5b
(/ (exp b) (* (pow z y) (pow a (- t 1.0))))
1.5b
(* y (/ (/ (exp b) (* (pow z y) (pow a (- t 1.0)))) x))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
68×add-exp-log
47×add-sqr-sqrt
39×prod-exp
37×times-frac
36×associate-*r*
31×div-exp
30×*-un-lft-identity
28×add-cube-cbrt
25×add-cbrt-cube
19×pow-to-exp pow-exp
15×unpow-prod-down
11×unswap-sqr
10×associate-*l*
sqr-pow
pow1 cbrt-undiv cbrt-unprod
associate-*r/ pow-sub
pow-unpow div-inv
associate-/r/ add-log-exp
associate-/l*
unpow-prod-up sub-neg *-commutative
pow-pow frac-2neg pow-prod-down clear-num associate-/r* distribute-lft-out-- difference-of-squares
Counts
4 → 153
Calls
4 calls:
4.0ms
(pow a (- t 1.0))
7.0ms
(* (pow z y) (pow a (- t 1.0)))
8.0ms
(/ (exp b) (* (pow z y) (pow a (- t 1.0))))
17.0ms
(* y (/ (/ (exp b) (* (pow z y) (pow a (- t 1.0)))) x))

series180.0ms

Counts
4 → 12
Calls
4 calls:
12.0ms
(pow a (- t 1.0))
35.0ms
(* (pow z y) (pow a (- t 1.0)))
56.0ms
(/ (exp b) (* (pow z y) (pow a (- t 1.0))))
77.0ms
(* y (/ (/ (exp b) (* (pow z y) (pow a (- t 1.0)))) x))

simplify62.0ms

Algorithm
egg-herbie
Counts
165 → 165
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
049612310
149612310

prune228.0ms

Filtered
111 candidates to 165 candidates (-48.6%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1632165
Fresh213
Picked011
Done112
Total1665171

Merged error: 0b

Counts
171 → 5

regimes676.0ms

Accuracy

0% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 1.2b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
014727
114727

end0.0ms

sample3.2s

Algorithm
intervals
Results
962.0ms14493×body80nan
648.0ms8000×body80valid
571.0ms7212×body80invalid

Profiling

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