Details

Time bar (total: 6.1s)

sample37.0ms

Algorithm
intervals
Results
8.0ms198×body80valid
5.0ms27×body1280valid
4.0ms10×body1280nan
3.0ms98×body80nan
2.0ms16×body640valid
2.0ms15×body640nan
1.0ms11×body320valid
1.0ms8×body320nan
0.0ms4×body160valid
0.0ms4×body160nan

simplify21.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0196
1296
2416
3606
4786
5946
61096
71396
82146
92796
102796

prune2.0ms

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: 14.7b

Counts
2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- x y) (- 1.0 y))
1.4b
(- 1.0 (/ (- x y) (- 1.0 y)))
6.0b
(log (- 1.0 (/ (- x y) (- 1.0 y))))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
175×add-sqr-sqrt
169×*-un-lft-identity
102×times-frac
93×prod-diff
81×add-cube-cbrt
46×difference-of-squares
44×distribute-lft-out--
8×associate-/r/
7×flip3-- flip--
6×add-exp-log log-prod
5×associate-/r* add-cbrt-cube associate-/l* add-log-exp
4×pow1 div-inv
3×expm1-log1p-u fma-neg log1p-expm1-u
2×log-div div-sub associate-/l/
1×cbrt-undiv sub-neg frac-2neg diff-log div-exp rem-log-exp clear-num log-pow associate--r-
Counts
3 → 187
Calls
3 calls:
9.0ms
(/ (- x y) (- 1.0 y))
17.0ms
(- 1.0 (/ (- x y) (- 1.0 y)))
18.0ms
(log (- 1.0 (/ (- x y) (- 1.0 y))))

series178.0ms

Counts
3 → 9
Calls
3 calls:
41.0ms
(/ (- x y) (- 1.0 y))
50.0ms
(- 1.0 (/ (- x y) (- 1.0 y)))
86.0ms
(log (- 1.0 (/ (- x y) (- 1.0 y))))

simplify89.0ms

Algorithm
egg-herbie
Counts
196 → 196
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
08473956
127662899
250012689

prune301.0ms

Filtered
196 candidates to 98 candidates (50.0%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New1933196
Fresh000
Picked101
Done000
Total1943197

Merged error: 0.1b

Counts
197 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (- 1.0 y))
0.2b
(cbrt (- 1.0 y))
6.0b
(log (- 1.0 (* (/ 1 (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))) (/ (- x y) (cbrt (- 1.0 y))))))
8.7b
(- 1.0 (* (/ 1 (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))) (/ (- x y) (cbrt (- 1.0 y)))))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt *-un-lft-identity
10×cbrt-prod
9×add-cube-cbrt
6×add-log-exp
5×pow1 add-exp-log
4×expm1-log1p-u cbrt-div flip3-- add-cbrt-cube flip-- log1p-expm1-u
3×log-prod fma-neg prod-diff
2×log-div pow1/3 distribute-lft-out-- difference-of-squares
1×sub-neg diff-log rem-log-exp log-pow
Counts
4 → 70
Calls
4 calls:
3.0ms
(cbrt (- 1.0 y))
3.0ms
(cbrt (- 1.0 y))
3.0ms
(log (- 1.0 (* (/ 1 (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))) (/ (- x y) (cbrt (- 1.0 y))))))
3.0ms
(- 1.0 (* (/ 1 (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))) (/ (- x y) (cbrt (- 1.0 y)))))

series322.0ms

Counts
4 → 12
Calls
4 calls:
88.0ms
(cbrt (- 1.0 y))
88.0ms
(cbrt (- 1.0 y))
89.0ms
(log (- 1.0 (* (/ 1 (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))) (/ (- x y) (cbrt (- 1.0 y))))))
56.0ms
(- 1.0 (* (/ 1 (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))) (/ (- x y) (cbrt (- 1.0 y)))))

simplify71.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
03781088
11244972
25001950

prune231.0ms

Filtered
82 candidates to 71 candidates (86.6%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New82082
Fresh022
Picked011
Done000
Total82385

Merged error: 0.1b

Counts
85 → 3

localize19.0ms

Local error

Found 4 expressions with local error:

0.4b
(- (log (- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3))) (log (+ (* 1.0 1.0) (+ (* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y))) (* 1.0 (/ (- x y) (- 1.0 y)))))))
1.4b
(- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3))
15.3b
(log (- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3)))
16.0b
(log (+ (* 1.0 1.0) (+ (* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y))) (* 1.0 (/ (- x y) (- 1.0 y))))))

rewrite338.0ms

Algorithm
rewrite-expression-head
Rules
1120×add-sqr-sqrt
1014×*-un-lft-identity
832×prod-diff
633×unpow-prod-down cube-prod
624×times-frac
500×add-cube-cbrt
313×difference-of-squares
259×distribute-lft-out--
111×sqr-pow
81×cube-mult unpow3
72×log-prod
48×associate-/r/
33×associate--l+
28×flip3-- flip--
24×div-inv
19×pow1
16×fma-neg
15×log-pow
8×log-div
6×add-exp-log add-log-exp
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u
3×difference-cubes associate--r+
2×associate--l- sub-neg flip3-+ diff-log rem-log-exp flip-+ associate--r-
Counts
4 → 1013
Calls
4 calls:
68.0ms
(- (log (- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3))) (log (+ (* 1.0 1.0) (+ (* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y))) (* 1.0 (/ (- x y) (- 1.0 y)))))))
64.0ms
(- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3))
81.0ms
(log (- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3)))
18.0ms
(log (+ (* 1.0 1.0) (+ (* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y))) (* 1.0 (/ (- x y) (- 1.0 y))))))

series1.0s

Counts
4 → 12
Calls
4 calls:
358.0ms
(- (log (- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3))) (log (+ (* 1.0 1.0) (+ (* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y))) (* 1.0 (/ (- x y) (- 1.0 y)))))))
182.0ms
(- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3))
326.0ms
(log (- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3)))
164.0ms
(log (+ (* 1.0 1.0) (+ (* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y))) (* 1.0 (/ (- x y) (- 1.0 y))))))

simplify326.0ms

Algorithm
egg-herbie
Counts
1025 → 1025
Iterations

Useful iterations: 1 (42.0ms)

IterNodesCost
0182335298
1500126869

prune682.0ms

Filtered
1025 candidates to 146 candidates (14.2%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New102411025
Fresh011
Picked011
Done011
Total102441028

Merged error: 0.1b

Counts
1028 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ x (pow y 2)) (/ 1 y))
2.8b
(fma 1.0 (- (/ x (pow y 2)) (/ 1 y)) (/ x y))
2.9b
(log (fma 1.0 (- (/ x (pow y 2)) (/ 1 y)) (/ x y)))
8.5b
(/ x (pow y 2))

rewrite98.0ms

Algorithm
rewrite-expression-head
Rules
636×times-frac
469×add-sqr-sqrt
440×*-un-lft-identity
428×add-cube-cbrt
364×prod-diff
141×unpow-prod-down
49×unpow2 sqr-pow
44×div-inv
28×fma-neg
15×difference-of-squares
10×add-exp-log
8×associate-/r*
6×add-cbrt-cube add-log-exp
5×pow1
4×expm1-log1p-u log1p-expm1-u
3×log-prod div-exp associate-/l* distribute-lft-out--
1×cbrt-undiv pow-to-exp sub-neg flip3-- frac-2neg diff-log rem-log-exp pow-exp clear-num log-pow frac-sub flip-- fma-udef
Counts
4 → 500
Calls
4 calls:
41.0ms
(- (/ x (pow y 2)) (/ 1 y))
1.0ms
(fma 1.0 (- (/ x (pow y 2)) (/ 1 y)) (/ x y))
1.0ms
(log (fma 1.0 (- (/ x (pow y 2)) (/ 1 y)) (/ x y)))
5.0ms
(/ x (pow y 2))

series150.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(- (/ x (pow y 2)) (/ 1 y))
29.0ms
(fma 1.0 (- (/ x (pow y 2)) (/ 1 y)) (/ x y))
65.0ms
(log (fma 1.0 (- (/ x (pow y 2)) (/ 1 y)) (/ x y)))
22.0ms
(/ x (pow y 2))

simplify142.0ms

Algorithm
egg-herbie
Counts
512 → 512
Iterations

Useful iterations: 2 (65.0ms)

IterNodesCost
0127610765
133956095
250036012

prune659.0ms

Filtered
512 candidates to 134 candidates (26.2%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New5102512
Fresh011
Picked011
Done022
Total5106516

Merged error: 0.1b

Counts
516 → 6

regimes125.0ms

Accuracy

99.8% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 16.4b

bsearch126.0ms

Steps
ItersRangePoint
10
0.000608309806168642
661184882896.0549
28334228.202803146
9
-591661204.423747
-1674.3921567199736
-142834896.66603637

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03522
13522

end0.0ms

sample1.0s

Algorithm
intervals
Results
236.0ms5736×body80valid
166.0ms804×body1280valid
109.0ms771×body640valid
105.0ms3704×body80nan
58.0ms361×body1280nan
48.0ms453×body320valid
45.0ms377×body640nan
19.0ms212×body320nan
16.0ms236×body160valid
7.0ms119×body160nan