Details

Time bar (total: 4.7s)

analyze355.0ms

Algorithm
search

sample53.0ms

Algorithm
intervals
Results
14.0ms182×body80valid
12.0ms30×body640valid
7.0ms26×body320valid
6.0ms8×body1280valid
2.0ms10×body160valid
1.0ms11×body80nan
0.0ms4×body80invalid

simplify129.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0269
1499
21189
32569
45339
512509
626379
742979
845739
945889
1045889

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 9.1b

Counts
2 → 1

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (- z 1.0) (log (- 1.0 y)))
0.0b
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
0.1b
(* (- x 1.0) (log y))
6.6b
(log (- 1.0 y))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
29×add-sqr-sqrt
25×*-un-lft-identity
21×log-prod
13×add-cube-cbrt
11×pow1
10×associate-*l*
9×add-exp-log add-log-exp
8×distribute-rgt-in distribute-lft-in associate-*r* add-cbrt-cube
6×distribute-lft-out-- difference-of-squares
4×flip3-- associate-*l/ flip--
3×log-pow
2×log-div diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×sub-neg rem-log-exp associate--l+ sum-log
Counts
4 → 94
Calls
4 calls:
11.0ms
(* (- z 1.0) (log (- 1.0 y)))
10.0ms
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
6.0ms
(* (- x 1.0) (log y))
3.0ms
(log (- 1.0 y))

series54.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(* (- z 1.0) (log (- 1.0 y)))
34.0ms
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
9.0ms
(* (- x 1.0) (log y))
4.0ms
(log (- 1.0 y))

simplify53.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0548838
11936745
25002711

prune184.0ms

Filtered
73 candidates to 106 candidates (-45.2%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New1015106
Fresh000
Picked101
Done000
Total1025107

Merged error: 0.0b

Counts
107 → 5

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
0.0b
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t)
0.0b
(* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
0.1b
(* (- x 1.0) (log y))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt flip3-- flip--
25×*-un-lft-identity
24×log-prod associate-*l/
16×distribute-rgt-in add-cube-cbrt distribute-lft-in frac-add
13×associate--l+
12×frac-times
11×add-log-exp
10×pow1 associate-+r+ associate-*r* associate-*l*
8×add-exp-log add-cbrt-cube
6×associate-+l+ associate-*r/
5×sub-neg distribute-lft-out--
4×difference-of-squares
2×diff-log pow-prod-down prod-exp sum-log log-pow *-commutative cbrt-unprod unswap-sqr
1×+-commutative flip3-+ flip-+
Counts
4 → 129
Calls
4 calls:
11.0ms
(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
12.0ms
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t)
11.0ms
(* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
7.0ms
(* (- x 1.0) (log y))

series114.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
54.0ms
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t)
13.0ms
(* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
9.0ms
(* (- x 1.0) (log y))

simplify122.0ms

Algorithm
egg-herbie
Counts
141 → 141
Iterations

Useful iterations: 2 (97.0ms)

IterNodesCost
09152563
146332482
250022446

prune457.0ms

Filtered
103 candidates to 141 candidates (-36.9%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1383141
Fresh314
Picked011
Done000
Total1415146

Merged error: 0.0b

Counts
146 → 5

localize31.0ms

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:
5.0ms
(* (cbrt y) (cbrt y))
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series117.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(* (cbrt y) (cbrt y))
37.0ms
(cbrt y)
21.0ms
(cbrt y)
22.0ms
(cbrt y)

simplify77.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (71.0ms)

IterNodesCost
0148349
1471322
22276265
35002252

prune172.0ms

Filtered
56 candidates to 85 candidates (-51.8%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New85085
Fresh033
Picked011
Done011
Total85590

Merged error: 0.0b

Counts
90 → 5

localize22.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (log y))
0.5b
(cbrt (log y))
0.5b
(* (cbrt (log y)) (cbrt (log y)))
6.6b
(log (- 1.0 y))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
32×cbrt-prod
25×add-sqr-sqrt
20×pow1
19×*-un-lft-identity
15×add-cube-cbrt
9×swap-sqr log-pow
8×pow1/3
7×add-exp-log associate-*r* associate-*l*
5×log-prod
4×add-cbrt-cube add-log-exp unswap-sqr
2×log-div pow-prod-down pow-sqr pow-prod-up
1×pow2 flip3-- pow-plus rem-log-exp prod-exp *-commutative flip-- cbrt-unprod distribute-lft-out-- difference-of-squares
Counts
4 → 85
Calls
4 calls:
1.0ms
(cbrt (log y))
1.0ms
(cbrt (log y))
6.0ms
(* (cbrt (log y)) (cbrt (log y)))
3.0ms
(log (- 1.0 y))

series111.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(cbrt (log y))
36.0ms
(cbrt (log y))
38.0ms
(* (cbrt (log y)) (cbrt (log y)))
3.0ms
(log (- 1.0 y))

simplify97.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 3 (90.0ms)

IterNodesCost
0245542
1740497
23032431
35001409

prune101.0ms

Filtered
58 candidates to 97 candidates (-67.2%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New96197
Fresh022
Picked011
Done022
Total966102

Merged error: 0b

Counts
102 → 6

regimes476.0ms

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
02815
12815

end0.0ms

analyze358.0ms

Algorithm
search

sample1.5s

Algorithm
intervals
Results
450.0ms5750×body80valid
324.0ms814×body640valid
195.0ms266×body1280valid
185.0ms714×body320valid
72.0ms456×body160valid
21.0ms262×body80nan
3.0ms37×body80invalid

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