Details

Time bar (total: 8.7s)

analyze834.0ms

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

sample100.0ms

Algorithm
intervals
Results
29.0ms397×body80nan
19.0ms256×body80valid
17.0ms228×body80invalid

simplify40.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
0507916

prune16.0ms

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:

0.1b
(* (- t 1.0) (log a))
0.3b
(* y (log z))
1.0b
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.8b
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

rewrite35.0ms

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))
8.0ms
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
13.0ms
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

series136.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(* (- t 1.0) (log a))
7.0ms
(* y (log z))
46.0ms
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
73.0ms
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

simplify30.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 0 (21.0ms)

IterNodesCost
050161237

prune164.0ms

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

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1033106
Fresh011
Picked011
Done000
Total1035108

Merged error: 0.0b

Counts
108 → 5

localize14.0ms

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))
0.8b
(* x (* (/ (pow a (- t 1.0)) (exp b)) (/ (pow z y) y)))
0.9b
(/ (pow a (- t 1.0)) (exp b))

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))
21.0ms
(* (/ (pow a (- t 1.0)) (exp b)) (/ (pow z y) y))
13.0ms
(* x (* (/ (pow a (- t 1.0)) (exp b)) (/ (pow z y) y)))
6.0ms
(/ (pow a (- t 1.0)) (exp b))

series192.0ms

Counts
4 → 12
Calls
4 calls:
13.0ms
(pow a (- t 1.0))
74.0ms
(* (/ (pow a (- t 1.0)) (exp b)) (/ (pow z y) y))
80.0ms
(* x (* (/ (pow a (- t 1.0)) (exp b)) (/ (pow z y) y)))
25.0ms
(/ (pow a (- t 1.0)) (exp b))

simplify83.0ms

Algorithm
egg-herbie
Counts
223 → 223
Iterations

Useful iterations: 0 (60.0ms)

IterNodesCost
050123567

prune298.0ms

Filtered
153 candidates to 223 candidates (-45.8%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New2203223
Fresh123
Picked101
Done011
Total2226228

Merged error: 0.0b

Counts
228 → 6

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (exp b) (pow a (neg 1.0)))
0.3b
(* (/ (pow a t) (/ (exp b) (pow a (neg 1.0)))) (/ (pow z y) y))
0.8b
(* x (* (/ (pow a t) (/ (exp b) (pow a (neg 1.0)))) (/ (pow z y) y)))
0.9b
(/ (pow a t) (/ (exp b) (pow a (neg 1.0))))

rewrite188.0ms

Algorithm
rewrite-expression-head
Rules
858×times-frac
542×add-sqr-sqrt
377×add-exp-log
362×unpow-prod-down
356×add-cube-cbrt *-un-lft-identity
270×div-exp
197×associate-*l*
157×prod-exp
148×sqr-pow
90×pow-to-exp pow-exp
61×add-cbrt-cube
52×unswap-sqr
34×associate-/r* associate-/r/
26×associate-*r*
22×cbrt-undiv
19×cbrt-unprod div-inv
16×neg-sub0 pow-neg pow-sub
11×pow1
10×associate-/l*
5×associate-*r/
4×pow-prod-down add-log-exp
2×frac-times frac-2neg associate-*l/ clear-num *-commutative
Counts
4 → 713
Calls
4 calls:
6.0ms
(/ (exp b) (pow a (neg 1.0)))
87.0ms
(* (/ (pow a t) (/ (exp b) (pow a (neg 1.0)))) (/ (pow z y) y))
29.0ms
(* x (* (/ (pow a t) (/ (exp b) (pow a (neg 1.0)))) (/ (pow z y) y)))
13.0ms
(/ (pow a t) (/ (exp b) (pow a (neg 1.0))))

series296.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(/ (exp b) (pow a (neg 1.0)))
96.0ms
(* (/ (pow a t) (/ (exp b) (pow a (neg 1.0)))) (/ (pow z y) y))
132.0ms
(* x (* (/ (pow a t) (/ (exp b) (pow a (neg 1.0)))) (/ (pow z y) y)))
43.0ms
(/ (pow a t) (/ (exp b) (pow a (neg 1.0))))

simplify116.0ms

Algorithm
egg-herbie
Counts
725 → 725
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
0516915612

prune1.2s

Filtered
511 candidates to 725 candidates (-41.9%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New7241725
Fresh134
Picked101
Done011
Total7265731

Merged error: 0.0b

Counts
731 → 5

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (pow z y) x)
0.0b
(* (/ (exp b) (pow a (neg 1.0))) y)
0.1b
(/ (exp b) (pow a (neg 1.0)))
2.0b
(/ (* (pow a t) (* (pow z y) x)) (* (/ (exp b) (pow a (neg 1.0))) y))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
257×add-exp-log
164×prod-exp
110×div-exp
53×add-sqr-sqrt
51×pow-to-exp pow-exp
49×add-cbrt-cube
46×times-frac
38×add-cube-cbrt *-un-lft-identity
34×associate-*l*
26×unpow-prod-down
18×cbrt-unprod
14×cbrt-undiv
10×sqr-pow
8×associate-/r*
7×unswap-sqr
6×pow1 associate-*r*
5×associate-/r/
4×associate-/l* add-log-exp
3×div-inv
2×neg-sub0 pow-neg frac-2neg associate-*l/ clear-num *-commutative pow-sub
1×pow-prod-down
Counts
4 → 210
Calls
4 calls:
5.0ms
(* (pow z y) x)
9.0ms
(* (/ (exp b) (pow a (neg 1.0))) y)
5.0ms
(/ (exp b) (pow a (neg 1.0)))
14.0ms
(/ (* (pow a t) (* (pow z y) x)) (* (/ (exp b) (pow a (neg 1.0))) y))

series246.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(* (pow z y) x)
55.0ms
(* (/ (exp b) (pow a (neg 1.0))) y)
25.0ms
(/ (exp b) (pow a (neg 1.0)))
138.0ms
(/ (* (pow a t) (* (pow z y) x)) (* (/ (exp b) (pow a (neg 1.0))) y))

simplify85.0ms

Algorithm
egg-herbie
Counts
222 → 222
Iterations

Useful iterations: 0 (65.0ms)

IterNodesCost
049753153
149753153

prune200.0ms

Filtered
120 candidates to 222 candidates (-85.0%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New2202222
Fresh033
Picked011
Done011
Total2207227

Merged error: 0b

Counts
227 → 7

regimes1.1s

Accuracy

6.6% (1.9b remaining)

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

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
06155
16155

end0.0ms

sample3.2s

Algorithm
intervals
Results
974.0ms14478×body80nan
639.0ms8000×body80valid
571.0ms7295×body80invalid

Profiling

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