Details

Time bar (total: 7.4s)

sample99.0ms

Algorithm
intervals
Results
33.0ms786×body80nan
11.0ms167×body80valid
8.0ms29×body640valid
6.0ms11×body1280valid
5.0ms32×body320valid
2.0ms18×body160valid

simplify25.0ms

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: 9.9b

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))
6.7b
(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))

series245.0ms

Counts
4 → 12
Calls
4 calls:
71.0ms
(* z (log (- 1.0 y)))
90.0ms
(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
37.0ms
(* x (log y))
47.0ms
(log (- 1.0 y))

simplify49.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0436628
11539553
25002530

prune250.0ms

Filtered
98 candidates to 66 candidates (67.3%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New90898
Fresh000
Picked101
Done000
Total91899

Merged error: 0.1b

Counts
99 → 8

localize18.0ms

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)))))))
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))

rewrite34.0ms

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)))))))
11.0ms
(- (+ (* 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))))))
5.0ms
(* x (log y))

series466.0ms

Counts
4 → 12
Calls
4 calls:
133.0ms
(+ (* x (log y)) (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
189.0ms
(- (+ (* x (log y)) (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t)
105.0ms
(* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
39.0ms
(* x (log y))

simplify62.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
04351202
116501138
250021111

prune357.0ms

Filtered
113 candidates to 75 candidates (66.4%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1103113
Fresh257
Picked011
Done000
Total1129121

Merged error: 0.1b

Counts
121 → 9

localize30.0ms

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)

series940.0ms

Counts
4 → 12
Calls
4 calls:
214.0ms
(* (cbrt y) (cbrt y))
187.0ms
(cbrt y)
174.0ms
(cbrt y)
364.0ms
(cbrt y)

simplify91.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (85.0ms)

IterNodesCost
0115288
1472261
22959238
35003235

prune368.0ms

Filtered
85 candidates to 64 candidates (75.3%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New85085
Fresh077
Picked011
Done011
Total85994

Merged error: 0.1b

Counts
94 → 9

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b
(* x (log y))
11.8b
(+ (log (+ (sqrt 1.0) (sqrt y))) (log (- (sqrt 1.0) (sqrt y))))
13.8b
(log (+ (sqrt 1.0) (sqrt y)))
13.9b
(log (- (sqrt 1.0) (sqrt y)))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
34×log-prod
32×*-un-lft-identity
30×add-sqr-sqrt
16×sqrt-prod
13×pow1
12×add-cube-cbrt
9×associate-+r+
8×add-exp-log log-div distribute-lft-out difference-of-squares
7×log-pow
6×add-cbrt-cube
5×associate-+l+
4×associate-*r* distribute-lft-out-- add-log-exp
3×distribute-rgt-in distribute-lft-in flip3-+ associate-*l* flip-+
2×associate-+l- associate-+r- flip3-- rem-log-exp flip--
1×+-commutative pow-prod-down prod-exp sum-log *-commutative cbrt-unprod unswap-sqr
Counts
4 → 94
Calls
4 calls:
4.0ms
(* x (log y))
17.0ms
(+ (log (+ (sqrt 1.0) (sqrt y))) (log (- (sqrt 1.0) (sqrt y))))
5.0ms
(log (+ (sqrt 1.0) (sqrt y)))
5.0ms
(log (- (sqrt 1.0) (sqrt y)))

series612.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(* x (log y))
296.0ms
(+ (log (+ (sqrt 1.0) (sqrt y))) (log (- (sqrt 1.0) (sqrt y))))
133.0ms
(log (+ (sqrt 1.0) (sqrt y)))
149.0ms
(log (- (sqrt 1.0) (sqrt y)))

simplify129.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0370976
11108891
24849839
35001839

prune269.0ms

Filtered
106 candidates to 67 candidates (63.2%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New1051106
Fresh156
Picked011
Done022
Total1069115

Merged error: 0.1b

Counts
115 → 9

regimes341.0ms

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

sample2.9s

Algorithm
intervals
Results
1.1s24631×body80nan
282.0ms5629×body80valid
255.0ms877×body640valid
210.0ms363×body1280valid
122.0ms707×body320valid
48.0ms462×body160valid