Details

Time bar (total: 6.2s)

sample136.0ms

Algorithm
intervals
Results
47.0ms755×body80nan
12.0ms181×body80valid
10.0ms28×body640valid
9.0ms13×body1280valid
5.0ms21×body320valid
2.0ms13×body160valid

simplify21.0ms

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

prune4.0ms

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: 8.6b

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)))
0.2b
(* x (log y))
5.6b
(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
add-exp-log add-log-exp
distribute-rgt-in distribute-lft-in associate-*r* add-cbrt-cube
associate-*l*
distribute-lft-out-- difference-of-squares
log-pow
log-div flip3-- diff-log pow-prod-down prod-exp *-commutative flip-- cbrt-unprod unswap-sqr
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))

series38.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
8.0ms
(* z (log (- 1.0 y)))
7.0ms
(* x (log y))
3.0ms
(log (- 1.0 y))

simplify46.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0458643
11650563
25002529

prune159.0ms

Filtered
98 candidates to 66 candidates (32.7%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New93598
Fresh000
Picked101
Done000
Total94599

Merged error: 0.0b

Counts
99 → 5

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite32.0ms

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*
add-exp-log add-cbrt-cube
associate-+l+ associate-*l*
sub-neg
distribute-lft-out--
flip3-- diff-log associate-*r/ pow-prod-down prod-exp sum-log log-pow *-commutative flip-- cbrt-unprod difference-of-squares unswap-sqr
+-commutative flip3-+ flip-+
Counts
4 → 101
Calls
4 calls:
9.0ms
(* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
7.0ms
(- (+ (* x (log y)) (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t)
8.0ms
(+ (* x (log y)) (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
4.0ms
(* x (log y))

series92.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
41.0ms
(- (+ (* x (log y)) (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t)
27.0ms
(+ (* x (log y)) (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
7.0ms
(* x (log y))

simplify55.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
04441211
116861142
250021110

prune259.0ms

Filtered
113 candidates to 75 candidates (33.6%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New1094113
Fresh314
Picked101
Done000
Total1135118

Merged error: 0.0b

Counts
118 → 5

localize27.0ms

Local error

Found 4 expressions with local error:

0.3b
(* x (log (cbrt y)))
0.3b
(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
48×log-prod
36×distribute-rgt-in distribute-lft-in
30×cbrt-prod
26×add-sqr-sqrt
24×add-cube-cbrt associate-+l+ *-un-lft-identity
12×associate-+r+
pow1
add-exp-log add-cbrt-cube add-log-exp
associate-*r*
pow1/3 associate-*l*
log-pow
+-commutative flip3-+ pow-prod-down prod-exp sum-log *-commutative cbrt-unprod flip-+ distribute-lft-out unswap-sqr
Counts
4 → 102
Calls
4 calls:
5.0ms
(* x (log (cbrt y)))
10.0ms
(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series89.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(* x (log (cbrt y)))
25.0ms
(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
22.0ms
(cbrt y)
23.0ms
(cbrt y)

simplify51.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0362765
11356673
25002593

prune261.0ms

Filtered
114 candidates to 87 candidates (23.7%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New1113114
Fresh314
Picked101
Done000
Total1154119

Merged error: 0b

Counts
119 → 4

localize35.0ms

Local error

Found 4 expressions with local error:

0.3b
(* x (log (pow y 1/3)))
0.3b
(+ (* x (* 2 (log (cbrt y)))) (* x (log (pow y 1/3))))
0.6b
(cbrt y)
5.2b
(pow y 1/3)

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
52×log-prod
38×distribute-rgt-in distribute-lft-in
27×add-sqr-sqrt
25×add-cube-cbrt *-un-lft-identity
24×associate-+l+
15×cbrt-prod unpow-prod-down
14×associate-+r+
pow1 add-exp-log
add-cbrt-cube add-log-exp
sqr-pow
associate-*r*
pow-unpow associate-*l*
+-commutative pow-to-exp pow-pow flip3-+ unpow1/3 pow1/3 pow-prod-down pow-exp prod-exp sum-log log-pow *-commutative cbrt-unprod flip-+ distribute-lft-out unswap-sqr
Counts
4 → 112
Calls
4 calls:
6.0ms
(* x (log (pow y 1/3)))
10.0ms
(+ (* x (* 2 (log (cbrt y)))) (* x (log (pow y 1/3))))
1.0ms
(cbrt y)
3.0ms
(pow y 1/3)

series89.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(* x (log (pow y 1/3)))
31.0ms
(+ (* x (* 2 (log (cbrt y)))) (* x (log (pow y 1/3))))
22.0ms
(cbrt y)
20.0ms
(pow y 1/3)

simplify66.0ms

Algorithm
egg-herbie
Counts
124 → 124
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
0460798
11882686
25002512

prune295.0ms

Filtered
124 candidates to 90 candidates (27.4%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1231124
Fresh123
Picked011
Done000
Total1244128

Merged error: 0b

Counts
128 → 4

regimes273.0ms

Accuracy

0% (0.1b remaining)

Error of 0.4b against oracle of 0.2b and baseline of 0.4b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03619
13619

end0.0ms

sample4.1s

Algorithm
intervals
Results
1.4s24400×body80nan
368.0ms5573×body80valid
297.0ms845×body640valid
282.0ms420×body1280valid
167.0ms750×body320valid
62.0ms447×body160valid

Profiling

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