Details

Time bar (total: 6.1s)

sample118.0ms

Algorithm
intervals
Results
47.0ms865×body80nan
13.0ms182×body80valid
10.0ms15×body1280valid
7.0ms23×body640valid
5.0ms25×body320valid
1.0ms11×body160valid

simplify24.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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: 8.6b

Counts
2 → 1

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(* z (log (- 1.0 y)))
0.3b
(* x (log y))
5.7b
(log (- 1.0 y))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt
21×log-prod
18×*-un-lft-identity
12×add-cube-cbrt
10×pow1
8×add-exp-log distribute-rgt-in distribute-lft-in associate-*r*
7×add-cbrt-cube
6×associate-*l*
3×log-pow distribute-lft-out-- add-log-exp difference-of-squares
2×log-div pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×flip3-- rem-log-exp flip--
Counts
3 → 70
Calls
3 calls:
6.0ms
(* z (log (- 1.0 y)))
4.0ms
(* x (log y))
3.0ms
(log (- 1.0 y))

series143.0ms

Counts
3 → 9
Calls
3 calls:
63.0ms
(* z (log (- 1.0 y)))
39.0ms
(* x (log y))
42.0ms
(log (- 1.0 y))

simplify110.0ms

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0332423
11192372
24968354
35001354

prune179.0ms

Filtered
79 candidates to 51 candidates (64.6%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New73679
Fresh000
Picked101
Done000
Total74680

Merged error: 0.1b

Counts
80 → 6

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* -1/2 (/ (* z (pow y 2)) (pow 1.0 2))) (* z (- (log 1.0) (* 1.0 y))))
0.0b
(* -1/2 (/ (* z (pow y 2)) (pow 1.0 2)))
0.3b
(* x (log y))
6.9b
(* z (pow y 2))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
51×add-exp-log
27×add-sqr-sqrt
26×prod-exp
24×associate-*r*
17×add-cube-cbrt *-un-lft-identity add-cbrt-cube
12×log-prod div-exp
10×associate-+r+
9×pow1 associate-*l*
8×distribute-rgt-in pow-to-exp distribute-lft-in times-frac pow-exp
7×unpow-prod-down
6×associate--l+ cbrt-unprod add-log-exp unswap-sqr
5×associate-*r/
3×*-commutative unpow2 sqr-pow
2×cbrt-undiv sub-neg pow-prod-down frac-add
1×+-commutative flip3-- flip3-+ sum-log log-pow flip-- flip-+ div-inv
Counts
4 → 117
Calls
4 calls:
13.0ms
(+ (* -1/2 (/ (* z (pow y 2)) (pow 1.0 2))) (* z (- (log 1.0) (* 1.0 y))))
9.0ms
(* -1/2 (/ (* z (pow y 2)) (pow 1.0 2)))
4.0ms
(* x (log y))
6.0ms
(* z (pow y 2))

series226.0ms

Counts
4 → 12
Calls
4 calls:
101.0ms
(+ (* -1/2 (/ (* z (pow y 2)) (pow 1.0 2))) (* z (- (log 1.0) (* 1.0 y))))
59.0ms
(* -1/2 (/ (* z (pow y 2)) (pow 1.0 2)))
37.0ms
(* x (log y))
29.0ms
(* z (pow y 2))

simplify86.0ms

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 1 (17.0ms)

IterNodesCost
0623842
12849764
25001764

prune342.0ms

Filtered
129 candidates to 80 candidates (62.0%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1281129
Fresh145
Picked011
Done000
Total1296135

Merged error: 0.0b

Counts
135 → 6

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(* z (- (log (- (* 1.0 1.0) (* y y))) (log (+ 1.0 y))))
0.3b
(* x (log y))
1.2b
(log (- (* 1.0 1.0) (* y y)))
5.7b
(log (+ 1.0 y))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
22×log-prod
20×add-sqr-sqrt *-un-lft-identity
15×pow1
14×add-cube-cbrt
12×associate-*r*
11×distribute-rgt-in distribute-lft-in
10×add-exp-log
8×log-div associate--l+ add-cbrt-cube
7×log-pow
6×associate-*l*
4×distribute-lft-out-- associate--r- add-log-exp difference-of-squares
3×flip3-+ flip-+
2×sub-neg flip3-- associate-*r/ rem-log-exp pow-prod-down prod-exp *-commutative flip-- cbrt-unprod unswap-sqr
1×distribute-lft-out
Counts
4 → 96
Calls
4 calls:
9.0ms
(* z (- (log (- (* 1.0 1.0) (* y y))) (log (+ 1.0 y))))
4.0ms
(* x (log y))
4.0ms
(log (- (* 1.0 1.0) (* y y)))
3.0ms
(log (+ 1.0 y))

series335.0ms

Counts
4 → 12
Calls
4 calls:
155.0ms
(* z (- (log (- (* 1.0 1.0) (* y y))) (log (+ 1.0 y))))
36.0ms
(* x (log y))
104.0ms
(log (- (* 1.0 1.0) (* y y)))
40.0ms
(log (+ 1.0 y))

simplify55.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0519835
12040743
25001724

prune252.0ms

Filtered
108 candidates to 70 candidates (64.8%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1071108
Fresh044
Picked101
Done011
Total1086114

Merged error: 0.0b

Counts
114 → 6

localize22.0ms

Local error

Found 4 expressions with local error:

1.2b
(log (- (* 1.0 1.0) (* y y)))
5.7b
(log (+ 1.0 y))
5.7b
(log (+ 1.0 y))
5.7b
(log (+ 1.0 y))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
16×log-prod
14×*-un-lft-identity
8×pow1 add-exp-log add-sqr-sqrt add-cube-cbrt log-div
4×rem-log-exp log-pow add-cbrt-cube add-log-exp
3×flip3-+ flip-+ distribute-lft-out
1×flip3-- flip-- difference-of-squares
Counts
4 → 60
Calls
4 calls:
4.0ms
(log (- (* 1.0 1.0) (* y y)))
3.0ms
(log (+ 1.0 y))
3.0ms
(log (+ 1.0 y))
3.0ms
(log (+ 1.0 y))

series223.0ms

Counts
4 → 12
Calls
4 calls:
103.0ms
(log (- (* 1.0 1.0) (* y y)))
39.0ms
(log (+ 1.0 y))
43.0ms
(log (+ 1.0 y))
39.0ms
(log (+ 1.0 y))

simplify96.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 2 (19.0ms)

IterNodesCost
0237436
1791395
23020375
35001375

prune249.0ms

Filtered
72 candidates to 57 candidates (79.2%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New72072
Fresh044
Picked011
Done011
Total72678

Merged error: 0.0b

Counts
78 → 6

regimes127.0ms

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
02814
12814

end0.0ms

sample3.4s

Algorithm
intervals
Results
1.4s24504×body80nan
355.0ms5527×body80valid
311.0ms901×body640valid
258.0ms388×body1280valid
161.0ms760×body320valid
61.0ms448×body160valid

Profiling

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