Details

Time bar (total: 8.2s)

sample100.0ms

Algorithm
intervals
Results
35.0ms736×body80nan
10.0ms34×body640valid
9.0ms169×body80valid
6.0ms32×body320valid
5.0ms9×body1280valid
2.0ms15×body160valid

simplify37.0ms

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: 8.9b

Counts
2 → 1

localize12.0ms

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))
4.4b
(log (- 1.0 y))

rewrite27.0ms

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:
9.0ms
(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
7.0ms
(* z (log (- 1.0 y)))
5.0ms
(* x (log y))
3.0ms
(log (- 1.0 y))

series312.0ms

Counts
4 → 12
Calls
4 calls:
101.0ms
(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
89.0ms
(* z (log (- 1.0 y)))
63.0ms
(* x (log y))
58.0ms
(log (- 1.0 y))

simplify51.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0436628
11539553
25002530

prune263.0ms

Filtered
98 candidates to 66 candidates (67.3%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New91798
Fresh000
Picked101
Done000
Total92799

Merged error: 0.0b

Counts
99 → 7

localize19.0ms

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

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
90×add-sqr-sqrt
80×times-frac
78×associate-*r*
56×unpow-prod-down
53×*-un-lft-identity
50×add-cube-cbrt
31×add-exp-log
24×log-prod unpow2 sqr-pow
19×unswap-sqr
16×distribute-rgt-in distribute-lft-in
13×add-cbrt-cube
12×pow1 prod-exp associate--l+
10×associate-+r+
9×div-exp associate-*l*
6×pow-to-exp associate-+l+ pow-exp add-log-exp
4×sub-neg cbrt-unprod
3×associate-*r/ pow-prod-down *-commutative
2×log-pow distribute-lft-out--
1×cbrt-undiv +-commutative flip3-- flip3-+ sum-log flip-- flip-+ div-inv difference-of-squares
Counts
4 → 195
Calls
4 calls:
7.0ms
(+ (* x (log y)) (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
10.0ms
(* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
27.0ms
(* 1/2 (/ (pow y 2) (pow 1.0 2)))
5.0ms
(* x (log y))

series375.0ms

Counts
4 → 12
Calls
4 calls:
136.0ms
(+ (* x (log y)) (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
122.0ms
(* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
67.0ms
(* 1/2 (/ (pow y 2) (pow 1.0 2)))
49.0ms
(* x (log y))

simplify106.0ms

Algorithm
egg-herbie
Counts
207 → 207
Iterations

Useful iterations: 2 (83.0ms)

IterNodesCost
08711525
136701354
250011353

prune641.0ms

Filtered
207 candidates to 133 candidates (64.3%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New2043207
Fresh246
Picked101
Done000
Total2077214

Merged error: 0.0b

Counts
214 → 7

localize24.0ms

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)

rewrite28.0ms

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+
7×pow1
6×add-exp-log add-cbrt-cube add-log-exp
5×associate-*r*
3×pow1/3 associate-*l*
2×log-pow
1×+-commutative flip3-+ pow-prod-down prod-exp sum-log *-commutative cbrt-unprod flip-+ distribute-lft-out unswap-sqr
Counts
4 → 102
Calls
4 calls:
6.0ms
(* x (log (cbrt y)))
15.0ms
(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series888.0ms

Counts
4 → 12
Calls
4 calls:
110.0ms
(* x (log (cbrt y)))
132.0ms
(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
438.0ms
(cbrt y)
207.0ms
(cbrt y)

simplify68.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0345729
11431634
25001547

prune575.0ms

Filtered
114 candidates to 92 candidates (80.7%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New1113114
Fresh336
Picked101
Done000
Total1156121

Merged error: 0b

Counts
121 → 6

localize40.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (sqrt y)) (cbrt (sqrt y)))
0.6b
(cbrt y)
0.7b
(cbrt (sqrt y))
0.7b
(cbrt (sqrt y))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
55×cbrt-prod
43×add-sqr-sqrt
26×sqrt-prod
21×add-cube-cbrt *-un-lft-identity
11×pow1 swap-sqr
9×pow1/3 associate-*r* associate-*l* unswap-sqr
6×add-exp-log
4×add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 95
Calls
4 calls:
9.0ms
(* (cbrt (sqrt y)) (cbrt (sqrt y)))
2.0ms
(cbrt y)
3.0ms
(cbrt (sqrt y))
2.0ms
(cbrt (sqrt y))

series731.0ms

Counts
4 → 12
Calls
4 calls:
184.0ms
(* (cbrt (sqrt y)) (cbrt (sqrt y)))
201.0ms
(cbrt y)
163.0ms
(cbrt (sqrt y))
182.0ms
(cbrt (sqrt y))

simplify123.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 3 (114.0ms)

IterNodesCost
0165646
1600603
23117550
35001487

prune501.0ms

Filtered
107 candidates to 69 candidates (64.5%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1070107
Fresh055
Picked011
Done000
Total1076113

Merged error: 0b

Counts
113 → 6

regimes188.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03723
13723

end0.0ms

sample3.0s

Algorithm
intervals
Results
1.1s23589×body80nan
285.0ms5460×body80valid
276.0ms905×body640valid
274.0ms439×body1280valid
138.0ms758×body320valid
51.0ms463×body160valid