Details

Time bar (total: 7.5s)

sample118.0ms

Algorithm
intervals
Results
45.0ms678×body80nan
13.0ms186×body80valid
12.0ms32×body640valid
6.0ms8×body1280valid
5.0ms22×body320valid
1.0ms10×body160valid

simplify23.0ms

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

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: 9.2b

Counts
2 → 1

localize11.0ms

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))
5.7b
(log (- 1.0 y))

rewrite22.0ms

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))

series237.0ms

Counts
4 → 12
Calls
4 calls:
86.0ms
(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
68.0ms
(* z (log (- 1.0 y)))
37.0ms
(* x (log y))
46.0ms
(log (- 1.0 y))

simplify46.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0436628
11539553
25002530

prune248.0ms

Filtered
98 candidates to 66 candidates (67.3%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New90898
Fresh000
Picked101
Done000
Total91899

Merged error: 0.0b

Counts
99 → 8

localize18.0ms

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

rewrite28.0ms

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)
9.0ms
(* z (- (log 1.0) (+ (* 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)))))))
4.0ms
(* x (log y))

series442.0ms

Counts
4 → 12
Calls
4 calls:
177.0ms
(- (+ (* x (log y)) (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t)
100.0ms
(* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
124.0ms
(+ (* x (log y)) (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
41.0ms
(* x (log y))

simplify53.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
04351202
116501138
250021111

prune320.0ms

Filtered
113 candidates to 75 candidates (66.4%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1130113
Fresh077
Picked011
Done000
Total1138121

Merged error: 0.0b

Counts
121 → 8

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(* z (- (log (- (pow 1.0 3) (pow y 3))) (log (+ (* 1.0 1.0) (+ (* y y) (* 1.0 y))))))
0.3b
(* x (log y))
1.0b
(log (- (pow 1.0 3) (pow y 3)))
5.7b
(log (+ (* 1.0 1.0) (+ (* y y) (* 1.0 y))))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
92×add-sqr-sqrt
84×log-prod
50×associate--l+
49×difference-of-squares
48×*-un-lft-identity
36×unpow-prod-down cube-prod
32×distribute-rgt-in distribute-lft-in
24×sqr-pow
19×distribute-lft-out--
15×pow1
14×add-cube-cbrt
12×associate-*r*
10×add-exp-log
8×log-div add-cbrt-cube
7×log-pow
6×associate-*l*
4×associate--r- add-log-exp
3×difference-cubes flip3-+ flip-+
2×sub-neg flip3-- associate-*r/ rem-log-exp pow-prod-down prod-exp *-commutative flip-- cbrt-unprod unswap-sqr
Counts
4 → 158
Calls
4 calls:
20.0ms
(* z (- (log (- (pow 1.0 3) (pow y 3))) (log (+ (* 1.0 1.0) (+ (* y y) (* 1.0 y))))))
4.0ms
(* x (log y))
11.0ms
(log (- (pow 1.0 3) (pow y 3)))
6.0ms
(log (+ (* 1.0 1.0) (+ (* y y) (* 1.0 y))))

series546.0ms

Counts
4 → 12
Calls
4 calls:
199.0ms
(* z (- (log (- (pow 1.0 3) (pow y 3))) (log (+ (* 1.0 1.0) (+ (* y y) (* 1.0 y))))))
36.0ms
(* x (log y))
254.0ms
(log (- (pow 1.0 3) (pow y 3)))
57.0ms
(log (+ (* 1.0 1.0) (+ (* y y) (* 1.0 y))))

simplify82.0ms

Algorithm
egg-herbie
Counts
170 → 170
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
06882119
126742010
250011984

prune473.0ms

Filtered
170 candidates to 91 candidates (53.5%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1691170
Fresh066
Picked101
Done011
Total1708178

Merged error: 0.0b

Counts
178 → 8

localize30.0ms

Local error

Found 4 expressions with local error:

1.0b
(log (- (pow 1.0 3) (pow y 3)))
5.7b
(log (+ (* 1.0 1.0) (+ (* y y) (* 1.0 y))))
5.7b
(log (+ (* 1.0 1.0) (+ (* y y) (* 1.0 y))))
5.7b
(log (+ (* 1.0 1.0) (+ (* y y) (* 1.0 y))))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
34×log-prod
32×add-sqr-sqrt
18×*-un-lft-identity
16×difference-of-squares
12×unpow-prod-down cube-prod
8×pow1 add-exp-log add-cube-cbrt log-div sqr-pow
5×distribute-lft-out--
4×rem-log-exp log-pow add-cbrt-cube add-log-exp
3×flip3-+ flip-+
1×difference-cubes flip3-- flip--
Counts
4 → 78
Calls
4 calls:
11.0ms
(log (- (pow 1.0 3) (pow y 3)))
6.0ms
(log (+ (* 1.0 1.0) (+ (* y y) (* 1.0 y))))
6.0ms
(log (+ (* 1.0 1.0) (+ (* y y) (* 1.0 y))))
6.0ms
(log (+ (* 1.0 1.0) (+ (* y y) (* 1.0 y))))

series630.0ms

Counts
4 → 12
Calls
4 calls:
447.0ms
(log (- (pow 1.0 3) (pow y 3)))
62.0ms
(log (+ (* 1.0 1.0) (+ (* y y) (* 1.0 y))))
58.0ms
(log (+ (* 1.0 1.0) (+ (* y y) (* 1.0 y))))
63.0ms
(log (+ (* 1.0 1.0) (+ (* y y) (* 1.0 y))))

simplify45.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0354910
11227823
25002800

prune468.0ms

Filtered
90 candidates to 72 candidates (80.0%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New89190
Fresh156
Picked011
Done011
Total90898

Merged error: 0.0b

Counts
98 → 8

regimes273.0ms

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

sample3.3s

Algorithm
intervals
Results
1.3s23952×body80nan
337.0ms5493×body80valid
292.0ms868×body640valid
278.0ms436×body1280valid
161.0ms783×body320valid
57.0ms449×body160valid

Profiling

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