Details

Time bar (total: 7.0s)

analyze833.0ms

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

sample158.0ms

Algorithm
intervals
Results
50.0ms461×body80nan
30.0ms256×body80valid
27.0ms232×body80invalid

simplify37.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
0507916

prune17.0ms

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: 0.2b

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))
0.6b
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
0.7b
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

rewrite31.0ms

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
8×associate-*r* associate-*l*
6×distribute-rgt-in distribute-lft-in
5×exp-prod
3×times-frac prod-exp associate-/r* cbrt-unprod rem-exp-log
2×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
1×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)

series127.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(* (- t 1.0) (log a))
8.0ms
(* y (log z))
43.0ms
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
67.0ms
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

simplify28.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 0 (20.0ms)

IterNodesCost
050161237

prune179.0ms

Filtered
76 candidates to 106 candidates (-39.5%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New997106
Fresh101
Picked011
Done000
Total1008108

Merged error: 0.0b

Counts
108 → 8

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b
(pow a (- t 1.0))
0.2b
(/ (pow a (- t 1.0)) (exp b))
0.3b
(* (pow z y) (/ (pow a (- t 1.0)) (exp b)))
1.4b
(* x (/ (* (pow z y) (/ (pow a (- t 1.0)) (exp b))) y))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
73×add-sqr-sqrt
70×add-exp-log
60×times-frac
45×*-un-lft-identity
43×add-cube-cbrt
38×prod-exp
35×associate-*r*
34×unpow-prod-down div-exp
25×add-cbrt-cube
16×pow-to-exp pow-exp sqr-pow
13×unswap-sqr
10×associate-*l*
8×unpow-prod-up sub-neg cbrt-unprod associate-/l*
7×pow1
6×cbrt-undiv
5×pow-unpow
4×add-log-exp
3×associate-/r* div-inv
2×associate-*r/ *-commutative pow-sub
1×pow-pow frac-2neg pow-prod-down clear-num associate-/l/ distribute-lft-out-- difference-of-squares
Counts
4 → 180
Calls
4 calls:
4.0ms
(pow a (- t 1.0))
6.0ms
(/ (pow a (- t 1.0)) (exp b))
15.0ms
(* (pow z y) (/ (pow a (- t 1.0)) (exp b)))
13.0ms
(* x (/ (* (pow z y) (/ (pow a (- t 1.0)) (exp b))) y))

series169.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(pow a (- t 1.0))
21.0ms
(/ (pow a (- t 1.0)) (exp b))
56.0ms
(* (pow z y) (/ (pow a (- t 1.0)) (exp b)))
77.0ms
(* x (/ (* (pow z y) (/ (pow a (- t 1.0)) (exp b))) y))

simplify64.0ms

Algorithm
egg-herbie
Counts
192 → 192
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
050772813

prune261.0ms

Filtered
130 candidates to 192 candidates (-47.7%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1911192
Fresh156
Picked011
Done011
Total1928200

Merged error: 0.0b

Counts
200 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ y (* (pow z y) (pow a (- t 1.0))))
0.2b
(pow a (- t 1.0))
0.9b
(* (/ y (* (pow z y) (pow a (- t 1.0)))) (exp b))
1.0b
(/ x (* (/ y (* (pow z y) (pow a (- t 1.0)))) (exp b)))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
89×add-exp-log
49×prod-exp
42×div-exp
32×add-cbrt-cube
19×pow-to-exp pow-exp
17×add-sqr-sqrt
15×*-un-lft-identity
13×add-cube-cbrt
10×cbrt-undiv
9×times-frac cbrt-unprod
8×associate-*l*
7×pow1
6×associate-/l*
5×pow-unpow
4×add-log-exp
3×unpow-prod-down associate-*r* associate-/r/ div-inv pow-sub
2×frac-2neg associate-*r/ associate-*l/ clear-num associate-/r*
1×unpow-prod-up sub-neg pow-pow pow-prod-down *-commutative distribute-lft-out-- difference-of-squares unswap-sqr sqr-pow
Counts
4 → 121
Calls
4 calls:
6.0ms
(/ y (* (pow z y) (pow a (- t 1.0))))
4.0ms
(pow a (- t 1.0))
11.0ms
(* (/ y (* (pow z y) (pow a (- t 1.0)))) (exp b))
11.0ms
(/ x (* (/ y (* (pow z y) (pow a (- t 1.0)))) (exp b)))

series193.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(/ y (* (pow z y) (pow a (- t 1.0))))
12.0ms
(pow a (- t 1.0))
66.0ms
(* (/ y (* (pow z y) (pow a (- t 1.0)))) (exp b))
71.0ms
(/ x (* (/ y (* (pow z y) (pow a (- t 1.0)))) (exp b)))

simplify51.0ms

Algorithm
egg-herbie
Counts
133 → 133
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
049681865
149681865

prune154.0ms

Filtered
74 candidates to 133 candidates (-79.7%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1312133
Fresh235
Picked101
Done112
Total1356141

Merged error: 0.0b

Counts
141 → 6

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (exp b) (pow a 1.0))
0.0b
(/ y (* (pow z y) (pow a t)))
0.3b
(* (/ y (* (pow z y) (pow a t))) (* (exp b) (pow a 1.0)))
1.0b
(/ x (* (/ y (* (pow z y) (pow a t))) (* (exp b) (pow a 1.0))))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
333×add-exp-log
238×prod-exp
135×div-exp
77×pow-to-exp pow-exp
61×add-cbrt-cube
24×cbrt-unprod
18×add-sqr-sqrt
17×cbrt-undiv
13×add-cube-cbrt *-un-lft-identity
10×associate-*l*
9×times-frac
8×associate-*r*
6×pow1 associate-/l*
4×unpow-prod-down add-log-exp
3×div-inv unswap-sqr
2×frac-2neg associate-*l/ clear-num associate-/r* *-commutative sqr-pow
1×pow-prod-down associate-/r/
Counts
4 → 192
Calls
4 calls:
6.0ms
(* (exp b) (pow a 1.0))
6.0ms
(/ y (* (pow z y) (pow a t)))
14.0ms
(* (/ y (* (pow z y) (pow a t))) (* (exp b) (pow a 1.0)))
14.0ms
(/ x (* (/ y (* (pow z y) (pow a t))) (* (exp b) (pow a 1.0))))

series300.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(* (exp b) (pow a 1.0))
38.0ms
(/ y (* (pow z y) (pow a t)))
106.0ms
(* (/ y (* (pow z y) (pow a t))) (* (exp b) (pow a 1.0)))
120.0ms
(/ x (* (/ y (* (pow z y) (pow a t))) (* (exp b) (pow a 1.0))))

simplify77.0ms

Algorithm
egg-herbie
Counts
204 → 204
Iterations

Useful iterations: 0 (59.0ms)

IterNodesCost
049743108
149743108

prune124.0ms

Filtered
81 candidates to 204 candidates (-151.9%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New2031204
Fresh224
Picked011
Done011
Total2055210

Merged error: 0b

Counts
210 → 5

regimes894.0ms

Accuracy

0% (1.8b remaining)

Error of 1.8b against oracle of 0.0b and baseline of 1.8b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03918
13918

end0.0ms

sample3.1s

Algorithm
intervals
Results
950.0ms14423×body80nan
624.0ms8000×body80valid
547.0ms7189×body80invalid

Profiling

Loading profile data...