Details

Time bar (total: 3.7s)

analyze290.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%74.9%25.1%3
0%74.9%25.1%4
0%74.9%25.1%5
0%62.4%37.6%6
0%31.2%68.8%7
0%31.2%68.8%8
0%31.2%68.8%9
0%28.1%71.9%10
6%20.5%73.5%11
6.1%20.4%73.5%12
7.7%18.8%73.5%13
9.1%16.6%74.3%14

sample49.0ms

Algorithm
intervals
Results
11.0ms175×body80valid
9.0ms13×body1280valid
8.0ms24×body640valid
6.0ms28×body320valid
4.0ms16×body160valid
0.0ms7×body80nan
0.0ms1×body80invalid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
02513
12513

prune7.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 9.4b

Counts
2 → 1

localize10.0ms

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)
0.3b
(* x (log y))
6.0b
(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 → 85
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))

series41.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(* z (log (- 1.0 y)))
19.0ms
(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
8.0ms
(* x (log y))
3.0ms
(log (- 1.0 y))

simplify42.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
04992977
14992977

prune171.0ms

Filtered
69 candidates to 97 candidates (-40.6%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New91697
Fresh000
Picked101
Done000
Total92698

Merged error: 0.1b

Counts
98 → 6

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x (log y)) (* z (- (log 1.0) (* y (+ 1.0 (/ 1/2 (* 1.0 (/ 1.0 y))))))))
0.0b
(- (+ (* x (log y)) (* z (- (log 1.0) (* y (+ 1.0 (/ 1/2 (* 1.0 (/ 1.0 y)))))))) t)
0.2b
(/ 1/2 (* 1.0 (/ 1.0 y)))
0.3b
(* x (log y))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt log-prod
16×*-un-lft-identity
15×add-exp-log add-cbrt-cube
14×add-cube-cbrt
11×add-log-exp
10×distribute-rgt-in distribute-lft-in
8×associate-+r+
7×pow1 associate--l+
6×associate-+l+
4×cbrt-undiv div-exp associate-*r*
3×sub-neg times-frac associate-*l* prod-exp cbrt-unprod associate-/l*
2×diff-log sum-log
1×+-commutative flip3-- frac-2neg flip3-+ associate-*r/ pow-prod-down clear-num associate-/r* associate-/r/ log-pow *-commutative flip-- flip-+ div-inv distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 89
Calls
4 calls:
6.0ms
(+ (* x (log y)) (* z (- (log 1.0) (* y (+ 1.0 (/ 1/2 (* 1.0 (/ 1.0 y))))))))
6.0ms
(- (+ (* x (log y)) (* z (- (log 1.0) (* y (+ 1.0 (/ 1/2 (* 1.0 (/ 1.0 y)))))))) t)
6.0ms
(/ 1/2 (* 1.0 (/ 1.0 y)))
7.0ms
(* x (log y))

series74.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(+ (* x (log y)) (* z (- (log 1.0) (* y (+ 1.0 (/ 1/2 (* 1.0 (/ 1.0 y))))))))
39.0ms
(- (+ (* x (log y)) (* z (- (log 1.0) (* y (+ 1.0 (/ 1/2 (* 1.0 (/ 1.0 y)))))))) t)
2.0ms
(/ 1/2 (* 1.0 (/ 1.0 y)))
7.0ms
(* x (log y))

simplify36.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 0 (25.0ms)

IterNodesCost
049751478
149751478

prune177.0ms

Filtered
76 candidates to 101 candidates (-32.9%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New992101
Fresh145
Picked101
Done000
Total1016107

Merged error: 0.0b

Counts
107 → 6

localize26.0ms

Local error

Found 4 expressions with local error:

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

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
6.0ms
(* (cbrt y) (cbrt y))
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series98.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* (cbrt y) (cbrt y))
26.0ms
(cbrt y)
23.0ms
(cbrt y)
23.0ms
(cbrt y)

simplify40.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
05084341

prune156.0ms

Filtered
50 candidates to 85 candidates (-70.0%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New83285
Fresh055
Picked011
Done000
Total83891

Merged error: 0.0b

Counts
91 → 8

localize35.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt y) (cbrt y))
0.7b
(cbrt y)
0.7b
(cbrt y)
5.0b
(pow y 1/3)

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
22×cbrt-prod
16×add-cube-cbrt *-un-lft-identity
12×pow1
8×pow1/3
7×add-exp-log
6×swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
3×unpow-prod-down pow-unpow
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-to-exp pow-pow pow-plus unpow1/3 pow-exp prod-exp *-commutative cbrt-unprod sqr-pow
Counts
4 → 80
Calls
4 calls:
5.0ms
(* (cbrt y) (cbrt y))
1.0ms
(cbrt y)
1.0ms
(cbrt y)
2.0ms
(pow y 1/3)

series94.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(* (cbrt y) (cbrt y))
23.0ms
(cbrt y)
24.0ms
(cbrt y)
21.0ms
(pow y 1/3)

simplify62.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
05487342

prune143.0ms

Filtered
57 candidates to 92 candidates (-61.4%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New90292
Fresh066
Picked101
Done011
Total919100

Merged error: 0.0b

Counts
100 → 9

regimes351.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03737
13737

end0.0ms

analyze302.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%74.9%25.1%3
0%74.9%25.1%4
0%74.9%25.1%5
0%62.4%37.6%6
0%31.2%68.8%7
0%31.2%68.8%8
0%31.2%68.8%9
0%28.1%71.9%10
6%20.5%73.5%11
6.1%20.4%73.5%12
7.7%18.8%73.5%13
9.1%16.6%74.3%14

sample1.4s

Algorithm
intervals
Results
355.0ms5498×body80valid
291.0ms834×body640valid
267.0ms412×body1280valid
162.0ms755×body320valid
68.0ms501×body160valid
16.0ms243×body80nan
2.0ms31×body80invalid

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