Details

Time bar (total: 8.5s)

sample126.0ms

Algorithm
intervals
Results
54.0ms829×body80nan
13.0ms185×body80valid
11.0ms32×body640valid
6.0ms7×body1280valid
4.0ms19×body320valid
2.0ms14×body160valid

simplify133.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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

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: 6.8b

Counts
2 → 1

localize13.0ms

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)
0.2b
(* (- x 1.0) (log y))
5.0b
(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:
9.0ms
(* (- z 1.0) (log (- 1.0 y)))
11.0ms
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
7.0ms
(* (- x 1.0) (log y))
3.0ms
(log (- 1.0 y))

series296.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(* (- z 1.0) (log (- 1.0 y)))
153.0ms
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
54.0ms
(* (- x 1.0) (log y))
45.0ms
(log (- 1.0 y))

simplify50.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0498803
11805714
25001701

prune271.0ms

Filtered
106 candidates to 75 candidates (70.8%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New997106
Fresh000
Picked101
Done000
Total1007107

Merged error: 0.0b

Counts
107 → 7

localize24.0ms

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))))))
0.2b
(* (- x 1.0) (log y))

rewrite50.0ms

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:
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)))))))
13.0ms
(- (+ (* (- 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))))))
7.0ms
(* (- x 1.0) (log y))

series523.0ms

Counts
4 → 12
Calls
4 calls:
152.0ms
(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
246.0ms
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t)
64.0ms
(* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
61.0ms
(* (- x 1.0) (log y))

simplify123.0ms

Algorithm
egg-herbie
Counts
141 → 141
Iterations

Useful iterations: 2 (99.0ms)

IterNodesCost
08882535
146742460
250012448

prune572.0ms

Filtered
141 candidates to 107 candidates (75.9%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New1383141
Fresh156
Picked101
Done000
Total1408148

Merged error: 0.0b

Counts
148 → 8

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
32×add-sqr-sqrt
28×flip3-- flip--
27×*-un-lft-identity
24×log-prod associate-*r/
20×distribute-rgt-in distribute-lft-in
18×add-cube-cbrt
17×associate-*r*
16×associate-*l* frac-add
15×pow1
12×frac-times associate--l+
10×add-exp-log associate-+r+ add-cbrt-cube
8×sub-neg associate-*l/
7×log-pow
6×sqrt-prod add-log-exp
5×distribute-lft-out--
4×associate-+l+ difference-of-squares
3×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
2×sqrt-pow1 pow1/2
1×+-commutative flip3-+ sum-log flip-+
Counts
4 → 148
Calls
4 calls:
11.0ms
(+ (* (log (sqrt y)) (- x 1.0)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
12.0ms
(* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
10.0ms
(* (log (sqrt y)) (- x 1.0))
8.0ms
(* (- x 1.0) (log (sqrt y)))

series399.0ms

Counts
4 → 12
Calls
4 calls:
202.0ms
(+ (* (log (sqrt y)) (- x 1.0)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
69.0ms
(* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
66.0ms
(* (log (sqrt y)) (- x 1.0))
62.0ms
(* (- x 1.0) (log (sqrt y)))

simplify57.0ms

Algorithm
egg-herbie
Counts
160 → 160
Iterations

Useful iterations: 1 (26.0ms)

IterNodesCost
09222489
150012404

prune691.0ms

Filtered
160 candidates to 114 candidates (71.3%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New1591160
Fresh077
Picked101
Done000
Total1608168

Merged error: 0.0b

Counts
168 → 8

localize24.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (- x 1.0) (log y))
7.9b
(+ (log (+ (sqrt 1.0) (sqrt y))) (log (- (sqrt 1.0) (sqrt y))))
9.3b
(log (+ (sqrt 1.0) (sqrt y)))
9.4b
(log (- (sqrt 1.0) (sqrt y)))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
34×log-prod *-un-lft-identity
32×add-sqr-sqrt
16×sqrt-prod
13×pow1
12×add-cube-cbrt
9×associate-+r+ difference-of-squares
8×add-exp-log log-div distribute-lft-out
7×log-pow
6×add-cbrt-cube
5×associate-+l+ associate-*l* distribute-lft-out--
4×associate-*r* add-log-exp
3×distribute-rgt-in flip3-- distribute-lft-in flip3-+ flip-- flip-+
2×associate-+l- associate-+r- rem-log-exp associate-*l/
1×+-commutative pow-prod-down prod-exp sum-log *-commutative cbrt-unprod unswap-sqr
Counts
4 → 98
Calls
4 calls:
7.0ms
(* (- x 1.0) (log y))
14.0ms
(+ (log (+ (sqrt 1.0) (sqrt y))) (log (- (sqrt 1.0) (sqrt y))))
5.0ms
(log (+ (sqrt 1.0) (sqrt y)))
6.0ms
(log (- (sqrt 1.0) (sqrt y)))

series662.0ms

Counts
4 → 12
Calls
4 calls:
62.0ms
(* (- x 1.0) (log y))
312.0ms
(+ (log (+ (sqrt 1.0) (sqrt y))) (log (- (sqrt 1.0) (sqrt y))))
137.0ms
(log (+ (sqrt 1.0) (sqrt y)))
150.0ms
(log (- (sqrt 1.0) (sqrt y)))

simplify45.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
04271039
11395950
25002897

prune329.0ms

Filtered
110 candidates to 73 candidates (66.4%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New1091110
Fresh077
Picked101
Done000
Total1108118

Merged error: 0.0b

Counts
118 → 8

regimes479.0ms

Accuracy

87.4% (0.8b remaining)

Error of 1.0b against oracle of 0.2b and baseline of 6.7b

bsearch5.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07999
17999

end0.0ms

sample3.5s

Algorithm
intervals
Results
1.5s24134×body80nan
411.0ms5884×body80valid
285.0ms789×body640valid
183.0ms264×body1280valid
161.0ms670×body320valid
60.0ms409×body160valid