Details

Time bar (total: 16.7s)

sample252.0ms

Algorithm
intervals
Results
92.0ms1341×body80nan
37.0ms474×body80valid

simplify50.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (4.0ms)

IterNodesCost
03210
16510
21818
35228
422038
550028

prune23.0ms

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

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (- t 1.0) (log a))
0.3b
(* y (log z))
0.8b
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
0.8b
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

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
8×associate-*r* associate-*l*
6×distribute-rgt-in distribute-lft-in
5×exp-prod
3×times-frac exp-sum prod-exp associate-/r* cbrt-unprod rem-exp-log
2×cbrt-undiv exp-diff diff-log div-exp 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 → 95
Calls
4 calls:
7.0ms
(* (- t 1.0) (log a))
4.0ms
(* y (log z))
11.0ms
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
7.0ms
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series135.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(* (- t 1.0) (log a))
9.0ms
(* y (log z))
68.0ms
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
48.0ms
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify61.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0569965
12353793
25001726

prune1.3s

Filtered
107 candidates to 75 candidates (29.9%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New1034107
Fresh011
Picked101
Done000
Total1045109

Merged error: 0b

Counts
109 → 5

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(* x (/ (pow (/ 1 a) 1.0) (exp (+ b (+ (* (log (/ 1 z)) y) (* (log (/ 1 a)) t))))))
0.3b
(* (log (/ 1 a)) t)
0.3b
(* (log (/ 1 z)) y)
0.8b
(/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ b (+ (* (log (/ 1 z)) y) (* (log (/ 1 a)) t)))))) y)

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
114×times-frac
82×add-sqr-sqrt associate-*r*
62×*-un-lft-identity
61×add-cube-cbrt
55×unpow-prod-down
45×add-exp-log
24×div-exp
22×add-cbrt-cube
17×exp-sum
16×prod-exp
15×associate-*l*
14×pow1
8×distribute-lft-neg-out log-rec pow-exp unswap-sqr
6×log-pow cbrt-unprod div-inv
5×cbrt-undiv sqr-pow
4×exp-diff associate-/r/ add-log-exp
3×pow-prod-down associate-/r* *-commutative
2×pow-to-exp associate-+r- rec-exp distribute-neg-out pow-flip 1-exp associate-*r/ unsub-neg inv-pow
1×frac-2neg clear-num associate-/l/ associate-/l*
Counts
4 → 177
Calls
4 calls:
31.0ms
(* x (/ (pow (/ 1 a) 1.0) (exp (+ b (+ (* (log (/ 1 z)) y) (* (log (/ 1 a)) t))))))
4.0ms
(* (log (/ 1 a)) t)
5.0ms
(* (log (/ 1 z)) y)
20.0ms
(/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ b (+ (* (log (/ 1 z)) y) (* (log (/ 1 a)) t)))))) y)

series298.0ms

Counts
4 → 12
Calls
4 calls:
133.0ms
(* x (/ (pow (/ 1 a) 1.0) (exp (+ b (+ (* (log (/ 1 z)) y) (* (log (/ 1 a)) t))))))
11.0ms
(* (log (/ 1 a)) t)
10.0ms
(* (log (/ 1 z)) y)
144.0ms
(/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ b (+ (* (log (/ 1 z)) y) (* (log (/ 1 a)) t)))))) y)

simplify120.0ms

Algorithm
egg-herbie
Counts
189 → 189
Iterations

Useful iterations: 1 (26.0ms)

IterNodesCost
010502460
149782167
250022167

prune2.2s

Filtered
189 candidates to 131 candidates (30.7%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1890189
Fresh044
Picked011
Done000
Total1895194

Merged error: 0b

Counts
194 → 5

localize33.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (log (/ 1 a)) t)
0.3b
(* (log (/ 1 z)) y)
3.8b
(/ (* (pow (/ 1 a) 1.0) (pow 1 (+ t y))) (/ y x))
7.7b
(* (/ (* (pow (/ 1 a) 1.0) (pow 1 (+ t y))) (/ y x)) (/ (* (pow 1 1.0) (exp (neg (+ b (+ (* (log (/ 1 z)) y) (* (log (/ 1 a)) t)))))) 1))

rewrite151.0ms

Algorithm
rewrite-expression-head
Rules
2419×add-exp-log
1602×div-exp
1547×prod-exp
876×pow-exp
597×1-exp
342×pow-to-exp
96×rec-exp
89×add-cbrt-cube
56×times-frac
38×add-sqr-sqrt
34×cbrt-undiv
32×add-cube-cbrt *-un-lft-identity
30×associate-*l* cbrt-unprod
14×pow1
13×associate-*r* associate-/r*
6×log-pow div-inv
4×add-log-exp
3×pow-prod-down *-commutative unswap-sqr
2×distribute-lft-neg-out pow-flip log-rec associate-/r/ inv-pow
1×frac-times frac-2neg associate-*r/ associate-*l/ clear-num associate-/l*
Counts
4 → 750
Calls
4 calls:
4.0ms
(* (log (/ 1 a)) t)
5.0ms
(* (log (/ 1 z)) y)
13.0ms
(/ (* (pow (/ 1 a) 1.0) (pow 1 (+ t y))) (/ y x))
34.0ms
(* (/ (* (pow (/ 1 a) 1.0) (pow 1 (+ t y))) (/ y x)) (/ (* (pow 1 1.0) (exp (neg (+ b (+ (* (log (/ 1 z)) y) (* (log (/ 1 a)) t)))))) 1))

series311.0ms

Counts
4 → 12
Calls
4 calls:
11.0ms
(* (log (/ 1 a)) t)
11.0ms
(* (log (/ 1 z)) y)
101.0ms
(/ (* (pow (/ 1 a) 1.0) (pow 1 (+ t y))) (/ y x))
188.0ms
(* (/ (* (pow (/ 1 a) 1.0) (pow 1 (+ t y))) (/ y x)) (/ (* (pow 1 1.0) (exp (neg (+ b (+ (* (log (/ 1 z)) y) (* (log (/ 1 a)) t)))))) 1))

simplify149.0ms

Algorithm
egg-herbie
Counts
762 → 762
Iterations

Useful iterations: 1 (34.0ms)

IterNodesCost
0247814424
1500210821

prune1.8s

Filtered
762 candidates to 113 candidates (85.2%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New7620762
Fresh033
Picked011
Done011
Total7625767

Merged error: 0b

Counts
767 → 5

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (* (pow a (- t 1.0)) (pow z y)) (* y (exp b)))
0.1b
(pow a (- t 1.0))
0.3b
(* (pow a (- t 1.0)) (pow z y))
1.0b
(* x (/ (* (pow a (- t 1.0)) (pow z y)) (* y (exp b))))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
131×add-exp-log
86×prod-exp
40×div-exp
36×add-cbrt-cube
31×pow-to-exp pow-exp
28×add-sqr-sqrt
15×unpow-prod-down
14×*-un-lft-identity cbrt-unprod
12×add-cube-cbrt associate-*r* associate-*l*
10×unswap-sqr
9×sqr-pow
8×cbrt-undiv
7×pow1
5×pow-unpow
4×unpow-prod-up add-log-exp
3×pow-sub
2×sub-neg times-frac associate-*l/ *-commutative div-inv
1×pow-pow frac-2neg associate-*r/ pow-prod-down clear-num associate-/r* associate-/l/ associate-/l* distribute-lft-out-- difference-of-squares
Counts
4 → 149
Calls
4 calls:
10.0ms
(/ (* (pow a (- t 1.0)) (pow z y)) (* y (exp b)))
4.0ms
(pow a (- t 1.0))
7.0ms
(* (pow a (- t 1.0)) (pow z y))
11.0ms
(* x (/ (* (pow a (- t 1.0)) (pow z y)) (* y (exp b))))

series201.0ms

Counts
4 → 12
Calls
4 calls:
70.0ms
(/ (* (pow a (- t 1.0)) (pow z y)) (* y (exp b)))
12.0ms
(pow a (- t 1.0))
38.0ms
(* (pow a (- t 1.0)) (pow z y))
81.0ms
(* x (/ (* (pow a (- t 1.0)) (pow z y)) (* y (exp b))))

simplify101.0ms

Algorithm
egg-herbie
Counts
161 → 161
Iterations

Useful iterations: 2 (85.0ms)

IterNodesCost
07681546
136691353
250031322

prune763.0ms

Filtered
161 candidates to 86 candidates (46.6%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1610161
Fresh022
Picked011
Done022
Total1615166

Merged error: 0b

Counts
166 → 5

regimes754.0ms

Accuracy

0% (1.1b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 1.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02814
12814

end0.0ms

sample7.8s

Algorithm
intervals
Results
2.9s45039×body80nan
1.2s15066×body80valid

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