Details

Time bar (total: 8.3s)

sample130.0ms

Algorithm
intervals
Results
51.0ms805×body80nan
13.0ms187×body80valid
11.0ms12×body1280valid
9.0ms24×body640valid
5.0ms23×body320valid
2.0ms12×body160valid

simplify34.0ms

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

prune5.0ms

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: 9.8b

Counts
2 → 1

localize21.0ms

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))
7.1b
(log (- 1.0 y))

rewrite29.0ms

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)))
7.0ms
(* x (log y))
6.0ms
(log (- 1.0 y))

series242.0ms

Counts
4 → 12
Calls
4 calls:
88.0ms
(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
69.0ms
(* z (log (- 1.0 y)))
37.0ms
(* x (log y))
47.0ms
(log (- 1.0 y))

simplify49.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0436628
11539553
25002530

prune224.0ms

Filtered
98 candidates to 66 candidates (67.3%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New93598
Fresh000
Picked101
Done000
Total94599

Merged error: 0.0b

Counts
99 → 5

localize17.0ms

Local error

Found 4 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))))))) t)
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))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt log-prod
21×*-un-lft-identity
16×distribute-rgt-in add-cube-cbrt distribute-lft-in
13×associate--l+
11×add-log-exp
10×pow1 associate-+r+ associate-*r*
8×add-exp-log add-cbrt-cube
6×associate-+l+ associate-*l*
5×sub-neg
3×distribute-lft-out--
2×flip3-- diff-log associate-*r/ pow-prod-down prod-exp sum-log log-pow *-commutative flip-- cbrt-unprod difference-of-squares unswap-sqr
1×+-commutative flip3-+ flip-+
Counts
4 → 101
Calls
4 calls:
6.0ms
(- (+ (* x (log y)) (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t)
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))

series429.0ms

Counts
4 → 12
Calls
4 calls:
179.0ms
(- (+ (* x (log y)) (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t)
118.0ms
(+ (* x (log y)) (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
96.0ms
(* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
36.0ms
(* x (log y))

simplify54.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
04351202
116501138
250021111

prune328.0ms

Filtered
113 candidates to 75 candidates (66.4%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1103113
Fresh134
Picked011
Done000
Total1117118

Merged error: 0.0b

Counts
118 → 7

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)))))))) t)
0.2b
(* z (+ (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
(* x (log y))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
23×*-un-lft-identity
20×associate-*r*
16×pow1
13×add-exp-log add-cbrt-cube
12×sqrt-prod
11×add-cube-cbrt
10×associate-*r/
9×add-log-exp
7×associate-*l*
6×distribute-rgt-in log-prod distribute-lft-in
5×pow-prod-down prod-exp cbrt-unprod difference-of-squares
4×frac-times flip3-- flip3-+ flip-- flip-+ distribute-lft-out--
3×sub-neg log-pow *-commutative distribute-lft-out
2×diff-log associate-*l/ unswap-sqr
1×associate--l+ sum-log
Counts
4 → 103
Calls
4 calls:
7.0ms
(- (+ (* 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)))))))) t)
10.0ms
(* z (+ (sqrt (log 1.0)) (sqrt (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
22.0ms
(* (* 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)))))))
4.0ms
(* x (log y))

series861.0ms

Counts
4 → 12
Calls
4 calls:
198.0ms
(- (+ (* 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)))))))) t)
181.0ms
(* z (+ (sqrt (log 1.0)) (sqrt (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
446.0ms
(* (* 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)))))))
36.0ms
(* x (log y))

simplify98.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 2 (77.0ms)

IterNodesCost
06522241
132291785
250011750

prune527.0ms

Filtered
115 candidates to 75 candidates (65.2%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1141115
Fresh145
Picked011
Done011
Total1157122

Merged error: 0.0b

Counts
122 → 7

localize29.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* z (+ (sqrt (log 1.0)) (sqrt (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) (- (- (log 1.0) (* 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)))))))
0.3b
(* x (log y))
7.3b
(/ (* (* z (+ (sqrt (log 1.0)) (sqrt (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) (- (- (log 1.0) (* 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)))))))

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
42×associate-*r/
30×*-un-lft-identity
22×add-exp-log add-cbrt-cube
19×add-sqr-sqrt
17×pow1
16×frac-times associate--l+
15×add-cube-cbrt
14×associate-/l/
13×associate-*r*
12×log-prod flip3-- flip3-+ sqrt-prod frac-sub flip-- flip-+
11×distribute-rgt-in distribute-lft-in
9×distribute-lft-out
8×prod-exp cbrt-unprod
7×associate-*l*
6×times-frac associate-/r*
5×pow-prod-down
4×sub-neg associate-*l/ log-pow add-log-exp
3×cbrt-undiv div-exp *-commutative
2×associate-/r/ unswap-sqr
1×frac-2neg clear-num div-inv associate-/l*
Counts
4 → 141
Calls
4 calls:
17.0ms
(* (* z (+ (sqrt (log 1.0)) (sqrt (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) (- (- (log 1.0) (* 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)))))))
4.0ms
(* x (log y))
26.0ms
(/ (* (* z (+ (sqrt (log 1.0)) (sqrt (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) (- (- (log 1.0) (* 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)))))))

series755.0ms

Counts
4 → 12
Calls
4 calls:
434.0ms
(* (* z (+ (sqrt (log 1.0)) (sqrt (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) (- (- (log 1.0) (* 1.0 y)) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))
179.0ms
(* z (+ (sqrt (log 1.0)) (sqrt (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
35.0ms
(* x (log y))
108.0ms
(/ (* (* z (+ (sqrt (log 1.0)) (sqrt (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) (- (- (log 1.0) (* 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)))))))

simplify66.0ms

Algorithm
egg-herbie
Counts
153 → 153
Iterations

Useful iterations: 1 (26.0ms)

IterNodesCost
010513877
150013434

prune688.0ms

Filtered
153 candidates to 111 candidates (72.5%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1530153
Fresh044
Picked011
Done022
Total1537160

Merged error: 0.0b

Counts
160 → 7

regimes165.0ms

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

sample3.4s

Algorithm
intervals
Results
1.4s24046×body80nan
346.0ms5537×body80valid
305.0ms880×body640valid
259.0ms383×body1280valid
164.0ms756×body320valid
61.0ms468×body160valid

Profiling

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