Details

Time bar (total: 8.0s)

sample104.0ms

Algorithm
intervals
Results
40.0ms741×body80nan
12.0ms36×body640valid
11.0ms177×body80valid
5.0ms9×body1280valid
5.0ms23×body320valid
1.0ms11×body160valid

simplify26.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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

prune3.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 11.1b

Counts
2 → 1

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
0.0b
(* z (log (- 1.0 y)))
0.3b
(* x (log y))
3.8b
(log (- 1.0 y))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
21×log-prod *-un-lft-identity
13×add-cube-cbrt
11×pow1
9×add-exp-log add-log-exp
8×distribute-rgt-in distribute-lft-in associate-*r* add-cbrt-cube
6×associate-*l*
4×distribute-lft-out-- difference-of-squares
3×log-pow
2×log-div flip3-- diff-log pow-prod-down prod-exp *-commutative flip-- cbrt-unprod unswap-sqr
1×sub-neg rem-log-exp associate--l+ sum-log
Counts
4 → 86
Calls
4 calls:
6.0ms
(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
6.0ms
(* z (log (- 1.0 y)))
4.0ms
(* x (log y))
3.0ms
(log (- 1.0 y))

series254.0ms

Counts
4 → 12
Calls
4 calls:
91.0ms
(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
73.0ms
(* z (log (- 1.0 y)))
45.0ms
(* x (log y))
45.0ms
(log (- 1.0 y))

simplify46.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0436628
11539553
25002530

prune258.0ms

Filtered
98 candidates to 66 candidates (67.3%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New881098
Fresh000
Picked101
Done000
Total891099

Merged error: 0.1b

Counts
99 → 10

localize17.0ms

Local error

Found 3 expressions with local error:

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))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
24×log-prod
21×add-sqr-sqrt
18×*-un-lft-identity
16×distribute-rgt-in distribute-lft-in
15×add-cube-cbrt
12×associate--l+
10×associate-+r+ associate-*r*
9×pow1
7×add-exp-log add-cbrt-cube
6×associate-+l+ associate-*l*
5×add-log-exp
4×sub-neg
2×associate-*r/ pow-prod-down prod-exp log-pow *-commutative cbrt-unprod distribute-lft-out-- unswap-sqr
1×+-commutative flip3-- flip3-+ sum-log flip-- flip-+ difference-of-squares
Counts
3 → 85
Calls
3 calls:
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))

series283.0ms

Counts
3 → 9
Calls
3 calls:
130.0ms
(+ (* x (log y)) (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
108.0ms
(* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
44.0ms
(* x (log y))

simplify49.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0370887
11417828
25001813

prune291.0ms

Filtered
94 candidates to 61 candidates (64.9%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New93194
Fresh099
Picked011
Done000
Total9311104

Merged error: 0.1b

Counts
104 → 11

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x (log y)) (* (* z (+ (sqrt (log 1.0)) (sqrt (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) (- (sqrt (log 1.0)) (sqrt (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))))
0.2b
(* (* z (+ (sqrt (log 1.0)) (sqrt (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) (- (sqrt (log 1.0)) (sqrt (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
0.3b
(* z (+ (sqrt (log 1.0)) (sqrt (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
0.3b
(* x (log y))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
23×*-un-lft-identity
20×associate-*r*
16×pow1
13×add-exp-log add-cube-cbrt add-cbrt-cube
12×log-prod sqrt-prod
11×distribute-rgt-in distribute-lft-in
10×associate-*r/
7×associate-*l*
6×associate-+l+ add-log-exp
5×flip3-+ pow-prod-down prod-exp cbrt-unprod flip-+
4×frac-times sub-neg associate-+r+ difference-of-squares
3×flip3-- log-pow *-commutative flip-- distribute-lft-out distribute-lft-out--
2×associate-*l/ unswap-sqr
1×+-commutative sum-log
Counts
4 → 108
Calls
4 calls:
6.0ms
(+ (* x (log y)) (* (* z (+ (sqrt (log 1.0)) (sqrt (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) (- (sqrt (log 1.0)) (sqrt (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))))
23.0ms
(* (* z (+ (sqrt (log 1.0)) (sqrt (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) (- (sqrt (log 1.0)) (sqrt (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
10.0ms
(* z (+ (sqrt (log 1.0)) (sqrt (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
5.0ms
(* x (log y))

series861.0ms

Counts
4 → 12
Calls
4 calls:
133.0ms
(+ (* x (log y)) (* (* z (+ (sqrt (log 1.0)) (sqrt (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) (- (sqrt (log 1.0)) (sqrt (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))))
482.0ms
(* (* z (+ (sqrt (log 1.0)) (sqrt (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) (- (sqrt (log 1.0)) (sqrt (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
205.0ms
(* z (+ (sqrt (log 1.0)) (sqrt (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
40.0ms
(* x (log y))

simplify94.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (74.0ms)

IterNodesCost
06152229
130791884
250011872

prune447.0ms

Filtered
120 candidates to 81 candidates (67.5%)
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New1200120
Fresh099
Picked011
Done011
Total12011131

Merged error: 0.1b

Counts
131 → 11

localize16.0ms

Local error

Found 4 expressions with local error:

0.3b
(* x (log y))
6.2b
(+ (log (+ (sqrt 1.0) (sqrt y))) (log (- (sqrt 1.0) (sqrt y))))
8.2b
(log (+ (sqrt 1.0) (sqrt y)))
8.4b
(log (- (sqrt 1.0) (sqrt y)))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
34×log-prod
32×*-un-lft-identity
30×add-sqr-sqrt
16×sqrt-prod
13×pow1
12×add-cube-cbrt
9×associate-+r+
8×add-exp-log log-div distribute-lft-out difference-of-squares
7×log-pow
6×add-cbrt-cube
5×associate-+l+
4×associate-*r* distribute-lft-out-- add-log-exp
3×distribute-rgt-in distribute-lft-in flip3-+ associate-*l* flip-+
2×associate-+l- associate-+r- flip3-- rem-log-exp flip--
1×+-commutative pow-prod-down prod-exp sum-log *-commutative cbrt-unprod unswap-sqr
Counts
4 → 94
Calls
4 calls:
5.0ms
(* x (log y))
18.0ms
(+ (log (+ (sqrt 1.0) (sqrt y))) (log (- (sqrt 1.0) (sqrt y))))
5.0ms
(log (+ (sqrt 1.0) (sqrt y)))
6.0ms
(log (- (sqrt 1.0) (sqrt y)))

series922.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(* x (log y))
509.0ms
(+ (log (+ (sqrt 1.0) (sqrt y))) (log (- (sqrt 1.0) (sqrt y))))
173.0ms
(log (+ (sqrt 1.0) (sqrt y)))
193.0ms
(log (- (sqrt 1.0) (sqrt y)))

simplify51.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
05181019
11938953
25001931

prune337.0ms

Filtered
106 candidates to 70 candidates (66.0%)
Pruning

12 alts after pruning (9 fresh and 3 done)

PrunedKeptTotal
New1051106
Fresh088
Picked011
Done022
Total10512117

Merged error: 0.1b

Counts
117 → 12

regimes495.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02613
12613

end0.0ms

sample3.3s

Algorithm
intervals
Results
1.3s24104×body80nan
349.0ms5574×body80valid
303.0ms885×body640valid
286.0ms432×body1280valid
149.0ms694×body320valid
60.0ms452×body160valid

Profiling

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