Details

Time bar (total: 7.2s)

sample119.0ms

Algorithm
intervals
Results
46.0ms814×body80nan
13.0ms169×body80valid
9.0ms26×body640valid
9.0ms13×body1280valid
6.0ms28×body320valid
3.0ms21×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: 9.3b

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))
6.6b
(log (- 1.0 y))

rewrite24.0ms

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)))
6.0ms
(* x (log y))
3.0ms
(log (- 1.0 y))

series225.0ms

Counts
4 → 12
Calls
4 calls:
83.0ms
(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
61.0ms
(* z (log (- 1.0 y)))
39.0ms
(* x (log y))
41.0ms
(log (- 1.0 y))

simplify49.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0436628
11539553
25002530

prune234.0ms

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

localize35.0ms

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))

rewrite40.0ms

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)
11.0ms
(* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
11.0ms
(+ (* x (log y)) (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
8.0ms
(* x (log y))

series442.0ms

Counts
4 → 12
Calls
4 calls:
178.0ms
(- (+ (* x (log y)) (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t)
99.0ms
(* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
127.0ms
(+ (* x (log y)) (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
37.0ms
(* x (log y))

simplify54.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
04351202
116501138
250021111

prune329.0ms

Filtered
113 candidates to 75 candidates (66.4%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1121113
Fresh044
Picked011
Done000
Total1126118

Merged error: 0.0b

Counts
118 → 6

localize27.0ms

Local error

Found 4 expressions with local error:

0.3b
(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
0.7b
(cbrt y)
0.7b
(cbrt y)
6.6b
(log (- 1.0 y))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
41×log-prod
30×distribute-rgt-in distribute-lft-in
24×cbrt-prod associate-+l+
21×add-sqr-sqrt *-un-lft-identity
19×add-cube-cbrt
12×associate-+r+
6×add-log-exp
5×pow1 add-exp-log
4×add-cbrt-cube
2×log-div pow1/3
1×+-commutative flip3-- flip3-+ rem-log-exp sum-log log-pow flip-- flip-+ distribute-lft-out distribute-lft-out-- difference-of-squares
Counts
4 → 86
Calls
4 calls:
21.0ms
(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
2.0ms
(cbrt y)
2.0ms
(cbrt y)
6.0ms
(log (- 1.0 y))

series601.0ms

Counts
4 → 12
Calls
4 calls:
110.0ms
(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
179.0ms
(cbrt y)
243.0ms
(cbrt y)
68.0ms
(log (- 1.0 y))

simplify50.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0422639
11351547
25001485

prune360.0ms

Filtered
98 candidates to 89 candidates (90.8%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New96298
Fresh044
Picked101
Done011
Total977104

Merged error: 0b

Counts
104 → 7

localize23.0ms

Local error

Found 4 expressions with local error:

0.3b
(+ (* x (* 2 (log (cbrt y)))) (* x (log (pow y 1/3))))
0.7b
(cbrt y)
5.0b
(pow y 1/3)
6.6b
(log (- 1.0 y))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
43×log-prod
31×distribute-rgt-in distribute-lft-in
24×associate-+l+
22×add-sqr-sqrt *-un-lft-identity
20×add-cube-cbrt
15×cbrt-prod
14×associate-+r+
9×unpow-prod-down
6×pow1 add-exp-log add-log-exp
4×add-cbrt-cube
3×pow-unpow sqr-pow
2×log-div
1×+-commutative pow-to-exp flip3-- pow-pow flip3-+ unpow1/3 pow1/3 rem-log-exp pow-exp sum-log log-pow flip-- flip-+ distribute-lft-out distribute-lft-out-- difference-of-squares
Counts
4 → 95
Calls
4 calls:
10.0ms
(+ (* x (* 2 (log (cbrt y)))) (* x (log (pow y 1/3))))
1.0ms
(cbrt y)
2.0ms
(pow y 1/3)
3.0ms
(log (- 1.0 y))

series569.0ms

Counts
4 → 12
Calls
4 calls:
131.0ms
(+ (* x (* 2 (log (cbrt y)))) (* x (log (pow y 1/3))))
213.0ms
(cbrt y)
179.0ms
(pow y 1/3)
46.0ms
(log (- 1.0 y))

simplify56.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0507670
11669583
25002448

prune358.0ms

Filtered
107 candidates to 89 candidates (83.2%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1061107
Fresh145
Picked101
Done011
Total1086114

Merged error: 0b

Counts
114 → 6

regimes138.0ms

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
1.4s24202×body80nan
353.0ms5530×body80valid
325.0ms935×body640valid
257.0ms391×body1280valid
152.0ms713×body320valid
60.0ms459×body160valid

Profiling

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