Details

Time bar (total: 6.7s)

sample33.0ms

Algorithm
intervals
Results
6.0ms182×body80valid
6.0ms35×body1280valid
3.0ms114×body80nan
2.0ms19×body320valid
2.0ms12×body640valid
1.0ms10×body1280nan
1.0ms8×body640nan
1.0ms7×body320nan
0.0ms8×body160valid
0.0ms3×body160nan

simplify19.0ms

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

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.2b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- x y) (- 1.0 y))
2.6b
(- 1.0 (/ (- x y) (- 1.0 y)))
3.3b
(log (- 1.0 (/ (- x y) (- 1.0 y))))

rewrite85.0ms

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:
12.0ms
(/ (- x y) (- 1.0 y))
28.0ms
(- 1.0 (/ (- x y) (- 1.0 y)))
33.0ms
(log (- 1.0 (/ (- x y) (- 1.0 y))))

series186.0ms

Counts
3 → 9
Calls
3 calls:
42.0ms
(/ (- x y) (- 1.0 y))
51.0ms
(- 1.0 (/ (- x y) (- 1.0 y)))
93.0ms
(log (- 1.0 (/ (- x y) (- 1.0 y))))

simplify88.0ms

Algorithm
egg-herbie
Counts
196 → 196
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
08473956
127662899
250012689

prune535.0ms

Filtered
196 candidates to 98 candidates (50.0%)
Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (- 1.0 y))
0.1b
(* (- x y) (/ 1 (- 1.0 y)))
3.3b
(log (- 1.0 (* (- x y) (/ 1 (- 1.0 y)))))
4.6b
(- 1.0 (* (- x y) (/ 1 (- 1.0 y))))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
50×add-sqr-sqrt
44×*-un-lft-identity
32×times-frac
27×add-cube-cbrt
21×associate-*r*
18×add-exp-log
11×add-cbrt-cube
8×pow1 distribute-lft-out-- difference-of-squares
6×flip3-- flip-- add-log-exp
5×associate-*l* associate-/r*
4×expm1-log1p-u div-exp prod-exp associate-/r/ log1p-expm1-u
3×log-prod fma-neg prod-diff associate-/l* unswap-sqr
2×cbrt-undiv frac-times log-div rec-exp 1-exp associate-*l/ cbrt-unprod div-inv
1×sub-neg pow-flip frac-2neg diff-log associate-*r/ rem-log-exp pow-prod-down clear-num log-pow un-div-inv *-commutative inv-pow
Counts
4 → 131
Calls
4 calls:
6.0ms
(/ 1 (- 1.0 y))
27.0ms
(* (- x y) (/ 1 (- 1.0 y)))
2.0ms
(log (- 1.0 (* (- x y) (/ 1 (- 1.0 y)))))
3.0ms
(- 1.0 (* (- x y) (/ 1 (- 1.0 y))))

series203.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(/ 1 (- 1.0 y))
38.0ms
(* (- x y) (/ 1 (- 1.0 y)))
85.0ms
(log (- 1.0 (* (- x y) (/ 1 (- 1.0 y)))))
56.0ms
(- 1.0 (* (- x y) (/ 1 (- 1.0 y))))

simplify65.0ms

Algorithm
egg-herbie
Counts
143 → 143
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0521939
12201815
25001760

prune307.0ms

Filtered
143 candidates to 97 candidates (67.8%)
Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize24.0ms

Local error

Found 4 expressions with local error:

0.3b
(- (log (- (pow 1.0 3) (pow (* (- x y) (/ 1 (- 1.0 y))) 3))) (log (+ (* 1.0 1.0) (+ (* (* (- x y) (/ 1 (- 1.0 y))) (* (- x y) (/ 1 (- 1.0 y)))) (* 1.0 (* (- x y) (/ 1 (- 1.0 y))))))))
4.6b
(- (pow 1.0 3) (pow (* (- x y) (/ 1 (- 1.0 y))) 3))
12.8b
(log (+ (* 1.0 1.0) (+ (* (* (- x y) (/ 1 (- 1.0 y))) (* (- x y) (/ 1 (- 1.0 y)))) (* 1.0 (* (- x y) (/ 1 (- 1.0 y)))))))
14.6b
(log (- (pow 1.0 3) (pow (* (- x y) (/ 1 (- 1.0 y))) 3)))

rewrite352.0ms

Algorithm
rewrite-expression-head
Rules
112×prod-diff
88×add-sqr-sqrt
66×*-un-lft-identity
56×add-cube-cbrt
45×unpow-prod-down cube-prod
39×sqr-pow
32×log-prod
25×difference-of-squares
21×cube-mult unpow3
19×pow1
16×fma-neg
15×log-pow
13×associate--l+
8×log-div
7×distribute-lft-out--
6×add-exp-log add-log-exp
4×expm1-log1p-u flip3-- add-cbrt-cube flip-- log1p-expm1-u
3×difference-cubes associate--r+
2×associate--l- sub-neg flip3-+ diff-log rem-log-exp flip-+ associate--r-
Counts
4 → 233
Calls
4 calls:
161.0ms
(- (log (- (pow 1.0 3) (pow (* (- x y) (/ 1 (- 1.0 y))) 3))) (log (+ (* 1.0 1.0) (+ (* (* (- x y) (/ 1 (- 1.0 y))) (* (- x y) (/ 1 (- 1.0 y)))) (* 1.0 (* (- x y) (/ 1 (- 1.0 y))))))))
18.0ms
(- (pow 1.0 3) (pow (* (- x y) (/ 1 (- 1.0 y))) 3))
145.0ms
(log (+ (* 1.0 1.0) (+ (* (* (- x y) (/ 1 (- 1.0 y))) (* (- x y) (/ 1 (- 1.0 y)))) (* 1.0 (* (- x y) (/ 1 (- 1.0 y)))))))
16.0ms
(log (- (pow 1.0 3) (pow (* (- x y) (/ 1 (- 1.0 y))) 3)))

series1.1s

Counts
4 → 12
Calls
4 calls:
361.0ms
(- (log (- (pow 1.0 3) (pow (* (- x y) (/ 1 (- 1.0 y))) 3))) (log (+ (* 1.0 1.0) (+ (* (* (- x y) (/ 1 (- 1.0 y))) (* (- x y) (/ 1 (- 1.0 y)))) (* 1.0 (* (- x y) (/ 1 (- 1.0 y))))))))
183.0ms
(- (pow 1.0 3) (pow (* (- x y) (/ 1 (- 1.0 y))) 3))
171.0ms
(log (+ (* 1.0 1.0) (+ (* (* (- x y) (/ 1 (- 1.0 y))) (* (- x y) (/ 1 (- 1.0 y)))) (* 1.0 (* (- x y) (/ 1 (- 1.0 y)))))))
341.0ms
(log (- (pow 1.0 3) (pow (* (- x y) (/ 1 (- 1.0 y))) 3)))

simplify163.0ms

Algorithm
egg-herbie
Counts
245 → 245
Iterations

Useful iterations: 2 (103.0ms)

IterNodesCost
08336519
132754913
250014907

prune531.0ms

Filtered
245 candidates to 109 candidates (44.5%)
Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize23.0ms

Local error

Found 4 expressions with local error:

1.0b
(log (log (exp (- (pow 1.0 3) (pow (* (- x y) (/ 1 (- 1.0 y))) 3)))))
4.6b
(- (pow 1.0 3) (pow (* (- x y) (/ 1 (- 1.0 y))) 3))
4.8b
(log (exp (- (pow 1.0 3) (pow (* (- x y) (/ 1 (- 1.0 y))) 3))))
12.8b
(log (+ (* 1.0 1.0) (+ (* (* (- x y) (/ 1 (- 1.0 y))) (* (- x y) (/ 1 (- 1.0 y)))) (* 1.0 (* (- x y) (/ 1 (- 1.0 y)))))))

rewrite283.0ms

Algorithm
rewrite-expression-head
Rules
192×prod-diff
121×log-prod
114×add-sqr-sqrt
98×exp-sum
90×*-un-lft-identity
84×add-cube-cbrt
81×unpow-prod-down cube-prod
59×sqr-pow
41×cube-mult unpow3
30×log-pow
26×exp-prod
24×difference-of-squares
12×fma-neg
8×pow1
6×add-exp-log add-log-exp
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u
3×difference-cubes log-div rem-log-exp distribute-lft-out--
2×sub-neg
1×flip3-- flip3-+ exp-diff diff-log flip-- flip-+
Counts
4 → 302
Calls
4 calls:
51.0ms
(log (log (exp (- (pow 1.0 3) (pow (* (- x y) (/ 1 (- 1.0 y))) 3)))))
18.0ms
(- (pow 1.0 3) (pow (* (- x y) (/ 1 (- 1.0 y))) 3))
51.0ms
(log (exp (- (pow 1.0 3) (pow (* (- x y) (/ 1 (- 1.0 y))) 3))))
145.0ms
(log (+ (* 1.0 1.0) (+ (* (* (- x y) (/ 1 (- 1.0 y))) (* (- x y) (/ 1 (- 1.0 y)))) (* 1.0 (* (- x y) (/ 1 (- 1.0 y)))))))

series870.0ms

Counts
4 → 12
Calls
4 calls:
335.0ms
(log (log (exp (- (pow 1.0 3) (pow (* (- x y) (/ 1 (- 1.0 y))) 3)))))
187.0ms
(- (pow 1.0 3) (pow (* (- x y) (/ 1 (- 1.0 y))) 3))
181.0ms
(log (exp (- (pow 1.0 3) (pow (* (- x y) (/ 1 (- 1.0 y))) 3))))
166.0ms
(log (+ (* 1.0 1.0) (+ (* (* (- x y) (/ 1 (- 1.0 y))) (* (- x y) (/ 1 (- 1.0 y)))) (* 1.0 (* (- x y) (/ 1 (- 1.0 y)))))))

simplify158.0ms

Algorithm
egg-herbie
Counts
314 → 314
Iterations

Useful iterations: 2 (97.0ms)

IterNodesCost
08655905
129864440
250014428

prune523.0ms

Filtered
314 candidates to 98 candidates (31.2%)
Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.1b

regimes60.0ms

Accuracy

99.9% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 17.8b

bsearch105.0ms

Steps
ItersRangePoint
10
1.1144088257996216
2854126791298719.0
62605439.49465698
6
-4707863282.998968
-1117730599.3323822
-1134970590.4997056

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03215
13215

end0.0ms

sample944.0ms

Algorithm
intervals
Results
210.0ms5694×body80valid
157.0ms847×body1280valid
99.0ms769×body640valid
92.0ms3719×body80nan
51.0ms343×body1280nan
41.0ms388×body640nan
41.0ms431×body320valid
17.0ms217×body320nan
16.0ms259×body160valid
6.0ms122×body160nan