Details

Time bar (total: 7.8s)

analyze830.0ms

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

sample119.0ms

Algorithm
intervals
Results
31.0ms419×body80nan
20.0ms256×body80valid
18.0ms225×body80invalid

simplify46.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
0501716

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: 0.1b

Counts
2 → 2

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (- t 1.0) (log a))
0.2b
(* 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)

rewrite33.0ms

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))
11.0ms
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

series129.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(* (- t 1.0) (log a))
7.0ms
(* y (log z))
46.0ms
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
67.0ms
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

simplify41.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
049691208
149691208

prune169.0ms

Filtered
79 candidates to 106 candidates (-34.2%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New1015106
Fresh011
Picked101
Done000
Total1026108

Merged error: 0b

Counts
108 → 6

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (- t 1.0) (log a))
0.2b
(* y (log z))
0.9b
(pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.8b
(/ (* x (pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
21×add-exp-log
20×*-un-lft-identity
16×add-cube-cbrt
13×add-cbrt-cube
12×log-prod
11×pow1
8×associate-*r* associate-*l*
6×distribute-rgt-in distribute-lft-in prod-exp
5×pow-unpow div-exp
4×pow-exp add-log-exp
3×unpow-prod-down times-frac associate-/r* cbrt-unprod
2×cbrt-undiv unpow-prod-up pow-to-exp e-exp-1 pow-prod-down associate-*l/ log-pow *-commutative distribute-lft-out-- pow-sub difference-of-squares unswap-sqr
1×sub-neg flip3-- pow-pow frac-2neg associate-*r/ associate--l+ clear-num flip-- div-inv associate-/l/ associate-/l* sqr-pow
Counts
4 → 102
Calls
4 calls:
7.0ms
(* (- t 1.0) (log a))
4.0ms
(* y (log z))
5.0ms
(pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
7.0ms
(/ (* x (pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

series140.0ms

Counts
4 → 12
Calls
4 calls:
11.0ms
(* (- t 1.0) (log a))
7.0ms
(* y (log z))
47.0ms
(pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
75.0ms
(/ (* x (pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

simplify43.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
049491533
149491533

prune160.0ms

Filtered
81 candidates to 114 candidates (-40.7%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1140114
Fresh055
Picked011
Done000
Total1146120

Merged error: 0b

Counts
120 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b
(pow a (- t 1.0))
0.2b
(/ (exp b) (* (pow z y) (pow a (- t 1.0))))
0.5b
(* (pow z y) (pow a (- t 1.0)))
0.6b
(/ x (* y (/ (exp b) (* (pow z y) (pow a (- t 1.0))))))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
68×add-exp-log
38×prod-exp
32×div-exp
28×add-sqr-sqrt
25×add-cbrt-cube
19×pow-to-exp pow-exp
16×*-un-lft-identity
15×unpow-prod-down
14×add-cube-cbrt
9×unswap-sqr sqr-pow
8×cbrt-undiv associate-*r*
7×associate-*l*
6×times-frac cbrt-unprod associate-/l*
5×pow1 pow-unpow
4×add-log-exp
3×associate-*r/ pow-sub
2×unpow-prod-up sub-neg frac-2neg clear-num associate-/r* associate-/r/ div-inv
1×pow-pow *-commutative distribute-lft-out-- difference-of-squares
Counts
4 → 128
Calls
4 calls:
4.0ms
(pow a (- t 1.0))
7.0ms
(/ (exp b) (* (pow z y) (pow a (- t 1.0))))
7.0ms
(* (pow z y) (pow a (- t 1.0)))
11.0ms
(/ x (* y (/ (exp b) (* (pow z y) (pow a (- t 1.0))))))

series185.0ms

Counts
4 → 12
Calls
4 calls:
13.0ms
(pow a (- t 1.0))
58.0ms
(/ (exp b) (* (pow z y) (pow a (- t 1.0))))
32.0ms
(* (pow z y) (pow a (- t 1.0)))
82.0ms
(/ x (* y (/ (exp b) (* (pow z y) (pow a (- t 1.0))))))

simplify63.0ms

Algorithm
egg-herbie
Counts
140 → 140
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
049851955
149851955

prune173.0ms

Filtered
92 candidates to 140 candidates (-52.2%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1382140
Fresh314
Picked011
Done011
Total1415146

Merged error: 0b

Counts
146 → 5

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (pow a (neg 1.0)) (* (exp b) (* (pow a (neg t)) (pow z (neg y)))))
0.2b
(* (exp b) (* (pow a (neg t)) (pow z (neg y))))
0.4b
(* (pow a (neg t)) (pow z (neg y)))
1.8b
(/ (* x (/ (pow a (neg 1.0)) (* (exp b) (* (pow a (neg t)) (pow z (neg y)))))) y)

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
228×add-exp-log
176×prod-exp
101×div-exp
70×pow-to-exp pow-exp
40×add-cbrt-cube
27×add-sqr-sqrt
25×associate-*r/
22×pow-neg
19×neg-sub0 pow-sub
18×unpow-prod-down
15×add-cube-cbrt *-un-lft-identity
14×cbrt-unprod
12×frac-times
11×cbrt-undiv
10×times-frac associate-*l* sqr-pow
9×associate-/r/ unswap-sqr
8×associate-*r* associate-/l*
6×pow1 associate-*l/
4×associate-/r* add-log-exp
3×un-div-inv associate-/l/
2×frac-2neg clear-num *-commutative div-inv
1×pow-prod-down
Counts
4 → 214
Calls
4 calls:
12.0ms
(/ (pow a (neg 1.0)) (* (exp b) (* (pow a (neg t)) (pow z (neg y)))))
9.0ms
(* (exp b) (* (pow a (neg t)) (pow z (neg y))))
7.0ms
(* (pow a (neg t)) (pow z (neg y)))
19.0ms
(/ (* x (/ (pow a (neg 1.0)) (* (exp b) (* (pow a (neg t)) (pow z (neg y)))))) y)

series360.0ms

Counts
4 → 12
Calls
4 calls:
78.0ms
(/ (pow a (neg 1.0)) (* (exp b) (* (pow a (neg t)) (pow z (neg y)))))
44.0ms
(* (exp b) (* (pow a (neg t)) (pow z (neg y))))
38.0ms
(* (pow a (neg t)) (pow z (neg y)))
201.0ms
(/ (* x (/ (pow a (neg 1.0)) (* (exp b) (* (pow a (neg t)) (pow z (neg y)))))) y)

simplify53.0ms

Algorithm
egg-herbie
Counts
226 → 226
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
055203704

prune162.0ms

Filtered
103 candidates to 226 candidates (-119.4%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New2260226
Fresh022
Picked011
Done022
Total2265231

Merged error: 0b

Counts
231 → 5

regimes857.0ms

Accuracy

-37.3% (2.7b remaining)

Error of 2.7b against oracle of 0.0b and baseline of 2.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04454
14454

end0.0ms

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

sample3.2s

Algorithm
intervals
Results
993.0ms14544×body80nan
644.0ms8000×body80valid
575.0ms7253×body80invalid

Profiling

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