Details

Time bar (total: 8.9s)

sample130.0ms

Algorithm
intervals
Results
42.0ms811×body80nan
11.0ms189×body80valid
8.0ms26×body640valid
6.0ms8×body1280valid
5.0ms24×body320valid
2.0ms12×body160valid

simplify20.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0217
1307
2397
3457
4607
5887
61257
71767
82087
92257
102937
112937

prune5.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 8.3b

Counts
2 → 1

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(* z (log (- 1.0 y)))
0.0b
(+ (* x (log y)) (* z (log (- 1.0 y))))
0.3b
(* x (log y))
6.9b
(log (- 1.0 y))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
37×log-prod
31×add-sqr-sqrt
27×*-un-lft-identity
17×add-cube-cbrt
16×distribute-rgt-in distribute-lft-in
11×pow1
10×associate-+r+
9×add-exp-log
8×associate-*r* add-cbrt-cube
6×associate-+l+ associate-*l* add-log-exp
5×distribute-lft-out-- difference-of-squares
3×log-pow
2×log-div pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×+-commutative flip3-- flip3-+ rem-log-exp sum-log flip-- flip-+
Counts
4 → 97
Calls
4 calls:
6.0ms
(* z (log (- 1.0 y)))
7.0ms
(+ (* x (log y)) (* z (log (- 1.0 y))))
4.0ms
(* x (log y))
4.0ms
(log (- 1.0 y))

series279.0ms

Counts
4 → 12
Calls
4 calls:
82.0ms
(* z (log (- 1.0 y)))
95.0ms
(+ (* x (log y)) (* z (log (- 1.0 y))))
45.0ms
(* x (log y))
57.0ms
(log (- 1.0 y))

simplify51.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0449675
11570619
25001588

prune858.0ms

Filtered
109 candidates to 76 candidates (30.3%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New1027109
Fresh000
Picked101
Done000
Total1037110

Merged error: 0.1b

Counts
110 → 7

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))
0.0b
(+ (* x (log y)) (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
0.0b
(* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
0.3b
(* x (log y))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
24×log-prod
22×add-sqr-sqrt
19×*-un-lft-identity
16×distribute-rgt-in add-cube-cbrt distribute-lft-in
12×associate--l+
10×pow1 associate-+r+ associate-*r*
8×add-exp-log add-cbrt-cube add-log-exp
6×associate-+l+ associate-*l*
4×sub-neg
2×+-commutative flip3-+ associate-*r/ pow-prod-down prod-exp sum-log log-pow *-commutative cbrt-unprod flip-+ distribute-lft-out-- unswap-sqr
1×flip3-- flip-- difference-of-squares
Counts
4 → 96
Calls
4 calls:
4.0ms
(+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))
6.0ms
(+ (* x (log y)) (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
9.0ms
(* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
4.0ms
(* x (log y))

series438.0ms

Counts
4 → 12
Calls
4 calls:
121.0ms
(+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))
146.0ms
(+ (* x (log y)) (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
123.0ms
(* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
48.0ms
(* x (log y))

simplify58.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
04451005
11742945
25001927

prune596.0ms

Filtered
108 candidates to 72 candidates (33.3%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1053108
Fresh246
Picked011
Done000
Total1078115

Merged error: 0.1b

Counts
115 → 8

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (+ (* x (log y)) (* z (- (log 1.0) (log (exp (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))))) t)
0.0b
(* z (- (log 1.0) (log (exp (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))))
0.3b
(* x (log y))
7.0b
(log (exp (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt
20×*-un-lft-identity
16×log-prod
14×pow1 add-cube-cbrt
12×associate-*r*
9×log-pow add-log-exp
8×add-exp-log distribute-rgt-in distribute-lft-in add-cbrt-cube
7×associate--l+
6×associate-*l*
5×distribute-lft-out--
3×sub-neg exp-prod
2×flip3-- diff-log associate-*r/ pow-prod-down prod-exp *-commutative flip-- cbrt-unprod difference-of-squares unswap-sqr
1×rem-log-exp exp-sum sum-log
Counts
4 → 92
Calls
4 calls:
6.0ms
(- (+ (* x (log y)) (* z (- (log 1.0) (log (exp (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))))) t)
12.0ms
(* z (- (log 1.0) (log (exp (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))))
4.0ms
(* x (log y))
4.0ms
(log (exp (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))

series512.0ms

Counts
4 → 12
Calls
4 calls:
219.0ms
(- (+ (* x (log y)) (* z (- (log 1.0) (log (exp (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))))) t)
121.0ms
(* z (- (log 1.0) (log (exp (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))))
48.0ms
(* x (log y))
124.0ms
(log (exp (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))

simplify49.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
03841137
113791006
25001967

prune530.0ms

Filtered
104 candidates to 67 candidates (35.6%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1031104
Fresh066
Picked101
Done011
Total1048112

Merged error: 0.1b

Counts
112 → 8

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b
(* z (- (log 1.0) (exp (log (log (exp (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))))))
0.3b
(* x (log y))
0.4b
(exp (log (log (exp (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))))
7.0b
(log (exp (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
24×log-prod
20×*-un-lft-identity
17×add-cube-cbrt
13×pow1
11×associate-*r* log-pow
10×exp-prod
9×exp-sum
8×add-exp-log distribute-rgt-in distribute-lft-in add-cbrt-cube
6×associate-*l* associate--l+
4×add-log-exp
2×sub-neg associate-*r/ pow-prod-down prod-exp *-commutative cbrt-unprod distribute-lft-out-- difference-of-squares unswap-sqr
1×flip3-- rem-log-exp flip-- rem-exp-log
Counts
4 → 94
Calls
4 calls:
12.0ms
(* z (- (log 1.0) (exp (log (log (exp (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))))))
4.0ms
(* x (log y))
5.0ms
(exp (log (log (exp (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))))
4.0ms
(log (exp (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))

series418.0ms

Counts
4 → 12
Calls
4 calls:
128.0ms
(* z (- (log 1.0) (exp (log (log (exp (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))))))
47.0ms
(* x (log y))
119.0ms
(exp (log (log (exp (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))))
124.0ms
(log (exp (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))

simplify47.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
03481022
11171891
25001829

prune670.0ms

Filtered
106 candidates to 67 candidates (36.8%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1051106
Fresh066
Picked101
Done011
Total1068114

Merged error: 0.1b

Counts
114 → 8

regimes386.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02613
12613

end0.0ms

sample3.7s

Algorithm
intervals
Results
1.3s23803×body80nan
336.0ms5605×body80valid
299.0ms901×body640valid
246.0ms381×body1280valid
145.0ms700×body320valid
57.0ms454×body160valid

Profiling

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