Details

Time bar (total: 7.9s)

sample116.0ms

Algorithm
intervals
Results
45.0ms753×body80nan
11.0ms175×body80valid
10.0ms29×body640valid
9.0ms12×body1280valid
6.0ms30×body320valid
1.0ms11×body160valid

simplify24.0ms

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: 8.6b

Counts
2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(* z (log (- 1.0 y)))
0.0b
(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
0.2b
(* x (log y))
4.1b
(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
(* z (log (- 1.0 y)))
6.0ms
(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
4.0ms
(* x (log y))
3.0ms
(log (- 1.0 y))

series243.0ms

Counts
4 → 12
Calls
4 calls:
71.0ms
(* z (log (- 1.0 y)))
89.0ms
(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
36.0ms
(* x (log y))
46.0ms
(log (- 1.0 y))

simplify48.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0436628
11539553
25002530

prune228.0ms

Filtered
98 candidates to 66 candidates (67.3%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New94498
Fresh000
Picked101
Done000
Total95499

Merged error: 0.0b

Counts
99 → 4

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
88×add-sqr-sqrt
80×times-frac
78×associate-*r*
56×unpow-prod-down
51×*-un-lft-identity
46×add-cube-cbrt
31×add-exp-log
24×unpow2 sqr-pow
19×unswap-sqr
13×add-cbrt-cube
12×pow1 log-prod prod-exp
9×div-exp associate-*l* add-log-exp
8×distribute-rgt-in distribute-lft-in
7×associate--l+
6×pow-to-exp pow-exp
4×cbrt-unprod
3×sub-neg associate-*r/ pow-prod-down *-commutative distribute-lft-out--
2×flip3-- diff-log log-pow flip-- difference-of-squares
1×cbrt-undiv sum-log div-inv
Counts
4 → 184
Calls
4 calls:
22.0ms
(* 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))))))) t)
9.0ms
(* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
4.0ms
(* x (log y))

series368.0ms

Counts
4 → 12
Calls
4 calls:
54.0ms
(* 1/2 (/ (pow y 2) (pow 1.0 2)))
178.0ms
(- (+ (* 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))))))
36.0ms
(* x (log y))

simplify89.0ms

Algorithm
egg-herbie
Counts
196 → 196
Iterations

Useful iterations: 2 (72.0ms)

IterNodesCost
08621507
136361307
250011306

prune618.0ms

Filtered
196 candidates to 121 candidates (61.7%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1942196
Fresh123
Picked011
Done000
Total1955200

Merged error: 0.0b

Counts
200 → 5

localize22.0ms

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))))
0.7b
(cbrt y)
0.7b
(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+
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:
5.0ms
(* x (log (cbrt y)))
9.0ms
(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series568.0ms

Counts
4 → 12
Calls
4 calls:
90.0ms
(* x (log (cbrt y)))
100.0ms
(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
179.0ms
(cbrt y)
198.0ms
(cbrt y)

simplify52.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0345729
11431634
25001547

prune517.0ms

Filtered
114 candidates to 91 candidates (79.8%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1122114
Fresh123
Picked011
Done011
Total1136119

Merged error: 0.0b

Counts
119 → 6

localize31.0ms

Local error

Found 4 expressions with local error:

0.3b
(* x (log (cbrt (sqrt y))))
0.3b
(* 2/3 (log y))
0.6b
(cbrt (sqrt y))
0.6b
(cbrt (sqrt y))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
24×cbrt-prod add-sqr-sqrt log-prod
20×add-cube-cbrt *-un-lft-identity
12×distribute-rgt-in distribute-lft-in sqrt-prod
10×pow1
9×associate-*r*
8×add-exp-log add-cbrt-cube
6×associate-*l*
4×add-log-exp
3×pow1/3 log-pow
2×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 91
Calls
4 calls:
6.0ms
(* x (log (cbrt (sqrt y))))
4.0ms
(* 2/3 (log y))
2.0ms
(cbrt (sqrt y))
2.0ms
(cbrt (sqrt y))

series789.0ms

Counts
4 → 12
Calls
4 calls:
297.0ms
(* x (log (cbrt (sqrt y))))
186.0ms
(* 2/3 (log y))
159.0ms
(cbrt (sqrt y))
147.0ms
(cbrt (sqrt y))

simplify98.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 3 (90.0ms)

IterNodesCost
0285588
1982532
23884509
35002493

prune384.0ms

Filtered
103 candidates to 64 candidates (62.1%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1030103
Fresh033
Picked011
Done022
Total1036109

Merged error: 0.0b

Counts
109 → 6

regimes161.0ms

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
1.4s24039×body80nan
351.0ms5457×body80valid
324.0ms940×body640valid
276.0ms426×body1280valid
158.0ms738×body320valid
62.0ms472×body160valid

Profiling

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