Details

Time bar (total: 11.6s)

analyze923.0ms

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

sample223.0ms

Algorithm
intervals
Results
21.0ms256×body80valid

simplify39.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
0507916

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: 0.2b

Counts
2 → 2

localize24.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (- t 1.0) (log a))
0.3b
(* y (log z))
1.1b
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
2.0b
(/ (* 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)

series151.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(* (- t 1.0) (log a))
7.0ms
(* y (log z))
67.0ms
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
67.0ms
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

simplify30.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 0 (20.0ms)

IterNodesCost
050161237

prune194.0ms

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

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1015106
Fresh011
Picked011
Done000
Total1017108

Merged error: 0b

Counts
108 → 7

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b
(pow a (- t 1.0))
0.3b
(* (/ (pow a (- t 1.0)) (exp b)) (/ (pow z y) y))
0.7b
(/ (pow a (- t 1.0)) (exp b))
1.7b
(* x (* (/ (pow a (- t 1.0)) (exp b)) (/ (pow z y) y)))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
103×add-sqr-sqrt
97×add-exp-log
93×times-frac
55×*-un-lft-identity
53×add-cube-cbrt
51×div-exp
49×prod-exp
41×unpow-prod-down
36×add-cbrt-cube
31×associate-*l*
26×associate-*r*
19×sqr-pow
18×pow-to-exp pow-exp
16×unswap-sqr
13×cbrt-unprod
12×pow1
9×cbrt-undiv
8×unpow-prod-up sub-neg associate-/l*
5×pow-unpow associate-*r/
4×pow-prod-down add-log-exp
3×associate-/r* div-inv
2×frac-times associate-*l/ *-commutative pow-sub
1×pow-pow frac-2neg clear-num associate-/l/ distribute-lft-out-- difference-of-squares
Counts
4 → 211
Calls
4 calls:
4.0ms
(pow a (- t 1.0))
23.0ms
(* (/ (pow a (- t 1.0)) (exp b)) (/ (pow z y) y))
6.0ms
(/ (pow a (- t 1.0)) (exp b))
13.0ms
(* x (* (/ (pow a (- t 1.0)) (exp b)) (/ (pow z y) y)))

series176.0ms

Counts
4 → 12
Calls
4 calls:
12.0ms
(pow a (- t 1.0))
68.0ms
(* (/ (pow a (- t 1.0)) (exp b)) (/ (pow z y) y))
20.0ms
(/ (pow a (- t 1.0)) (exp b))
76.0ms
(* x (* (/ (pow a (- t 1.0)) (exp b)) (/ (pow z y) y)))

simplify77.0ms

Algorithm
egg-herbie
Counts
223 → 223
Iterations

Useful iterations: 0 (58.0ms)

IterNodesCost
050123567

prune318.0ms

Filtered
150 candidates to 223 candidates (-48.7%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New2230223
Fresh055
Picked011
Done011
Total2237230

Merged error: 0b

Counts
230 → 7

localize25.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (pow z y) (/ (pow a (- t 1.0)) (exp b)))
0.7b
(/ (pow a (- t 1.0)) (exp b))
0.7b
(/ (pow a (- t 1.0)) (exp b))
2.0b
(/ (* x (* (sqrt (* (pow z y) (/ (pow a (- t 1.0)) (exp b)))) (sqrt (* (pow z y) (/ (pow a (- t 1.0)) (exp b)))))) y)

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
84×times-frac
83×add-sqr-sqrt
57×add-cube-cbrt *-un-lft-identity
43×unpow-prod-down
34×add-exp-log
28×associate-*r*
22×add-cbrt-cube
19×sqr-pow
18×div-exp
17×associate-/l*
15×prod-exp
12×unswap-sqr
11×unpow-prod-up sub-neg
9×pow-to-exp associate-*r/ pow-exp associate-/r*
7×associate-*l*
6×cbrt-undiv
5×cbrt-unprod associate-/l/
4×pow1 sqrt-div div-inv add-log-exp
3×frac-2neg clear-num
2×pow-sub
1×frac-times associate-*l/ *-commutative
Counts
4 → 196
Calls
4 calls:
13.0ms
(* (pow z y) (/ (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))
21.0ms
(/ (* x (* (sqrt (* (pow z y) (/ (pow a (- t 1.0)) (exp b)))) (sqrt (* (pow z y) (/ (pow a (- t 1.0)) (exp b)))))) y)

series173.0ms

Counts
4 → 12
Calls
4 calls:
55.0ms
(* (pow z y) (/ (pow a (- t 1.0)) (exp b)))
20.0ms
(/ (pow a (- t 1.0)) (exp b))
21.0ms
(/ (pow a (- t 1.0)) (exp b))
75.0ms
(/ (* x (* (sqrt (* (pow z y) (/ (pow a (- t 1.0)) (exp b)))) (sqrt (* (pow z y) (/ (pow a (- t 1.0)) (exp b)))))) y)

simplify64.0ms

Algorithm
egg-herbie
Counts
208 → 208
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
050813083

prune434.0ms

Filtered
154 candidates to 208 candidates (-35.1%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New2071208
Fresh134
Picked011
Done022
Total2087215

Merged error: 0b

Counts
215 → 7

localize20.0ms

Local error

Found 4 expressions with local error:

0.1b
(pow a (- t 1.0))
0.2b
(* (/ (exp b) (pow a (- t 1.0))) (/ y (pow z y)))
0.7b
(/ (exp b) (pow a (- t 1.0)))
1.7b
(/ x (* (/ (exp b) (pow a (- t 1.0))) (/ y (pow z y))))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
104×add-sqr-sqrt
97×add-exp-log
96×times-frac
68×div-exp
56×*-un-lft-identity
54×add-cube-cbrt
41×unpow-prod-down
36×add-cbrt-cube
32×prod-exp
29×associate-*l*
25×associate-*r*
19×sqr-pow
18×pow-to-exp pow-exp
16×unswap-sqr
14×cbrt-undiv
9×associate-/r*
8×unpow-prod-up sub-neg cbrt-unprod
7×pow1
6×associate-/l*
5×pow-unpow associate-/r/
4×div-inv add-log-exp
3×pow-sub
2×frac-times frac-2neg associate-*r/ associate-*l/ clear-num
1×pow-pow pow-prod-down *-commutative distribute-lft-out-- difference-of-squares
Counts
4 → 215
Calls
4 calls:
4.0ms
(pow a (- t 1.0))
22.0ms
(* (/ (exp b) (pow a (- t 1.0))) (/ y (pow z y)))
6.0ms
(/ (exp b) (pow a (- t 1.0)))
13.0ms
(/ x (* (/ (exp b) (pow a (- t 1.0))) (/ y (pow z y))))

series186.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(pow a (- t 1.0))
77.0ms
(* (/ (exp b) (pow a (- t 1.0))) (/ y (pow z y)))
24.0ms
(/ (exp b) (pow a (- t 1.0)))
70.0ms
(/ x (* (/ (exp b) (pow a (- t 1.0))) (/ y (pow z y))))

simplify84.0ms

Algorithm
egg-herbie
Counts
227 → 227
Iterations

Useful iterations: 0 (62.0ms)

IterNodesCost
050363670

prune287.0ms

Filtered
158 candidates to 227 candidates (-43.7%)
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New2270227
Fresh033
Picked011
Done033
Total2277234

Merged error: 0b

Counts
234 → 7

regimes1.4s

Accuracy

-1% (1.9b remaining)

Error of 2.0b against oracle of 0.0b and baseline of 1.9b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05753
15753

end0.0ms

sample6.6s

Algorithm
intervals
Results
672.0ms8000×body80valid

Profiling

Loading profile data...