Details

Time bar (total: 8.1s)

sample97.0ms

Algorithm
intervals
Results
33.0ms772×body80nan
10.0ms35×body640valid
8.0ms171×body80valid
5.0ms9×body1280valid
4.0ms23×body320valid
2.0ms18×body160valid

simplify28.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0227
1386
2536
3616
4786
51106
61756
72846
83636
93926
104766
114766

prune9.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 8.2b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
0.0b
(* z (log (- 1.0 y)))
0.2b
(* x (log y))
4.8b
(log (- 1.0 y))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
32×add-sqr-sqrt
28×*-un-lft-identity
21×log-prod
20×add-cube-cbrt
11×pow1
9×add-exp-log prod-diff add-log-exp
8×distribute-rgt-in distribute-lft-in associate-*r* add-cbrt-cube
6×associate-*l*
4×expm1-log1p-u log1p-expm1-u distribute-lft-out-- difference-of-squares
3×fma-neg 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 → 106
Calls
4 calls:
21.0ms
(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
7.0ms
(* z (log (- 1.0 y)))
4.0ms
(* x (log y))
3.0ms
(log (- 1.0 y))

series244.0ms

Counts
4 → 12
Calls
4 calls:
88.0ms
(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
69.0ms
(* z (log (- 1.0 y)))
38.0ms
(* x (log y))
49.0ms
(log (- 1.0 y))

simplify59.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
0519871
11908704
25001676

prune319.0ms

Filtered
118 candidates to 80 candidates (67.8%)
Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 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))

rewrite100.0ms

Algorithm
rewrite-expression-head
Rules
109×add-sqr-sqrt
80×times-frac
78×associate-*r*
72×*-un-lft-identity
67×add-cube-cbrt
56×unpow-prod-down
33×prod-diff
31×add-exp-log
24×unpow2 sqr-pow
20×distribute-rgt-in distribute-lft-in
19×unswap-sqr
18×pow1
13×add-cbrt-cube
12×log-prod prod-exp
9×div-exp associate-*l* add-log-exp
8×log-pow
7×associate--l+
6×pow-to-exp pow-exp
4×expm1-log1p-u cbrt-unprod log1p-expm1-u
3×sub-neg fma-neg associate-*r/ pow-prod-down *-commutative distribute-lft-out--
2×flip3-- diff-log flip-- difference-of-squares
1×cbrt-undiv sum-log div-inv
Counts
4 → 228
Calls
4 calls:
29.0ms
(* 1/2 (/ (pow y 2) (pow 1.0 2)))
23.0ms
(- (+ (* x (log y)) (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t)
34.0ms
(* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
4.0ms
(* x (log y))

series390.0ms

Counts
4 → 12
Calls
4 calls:
54.0ms
(* 1/2 (/ (pow y 2) (pow 1.0 2)))
187.0ms
(- (+ (* x (log y)) (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t)
104.0ms
(* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
44.0ms
(* x (log y))

simplify120.0ms

Algorithm
egg-herbie
Counts
240 → 240
Iterations

Useful iterations: 2 (92.0ms)

IterNodesCost
010042970
142442051
250012036

prune717.0ms

Filtered
240 candidates to 137 candidates (57.1%)
Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 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))

rewrite120.0ms

Algorithm
rewrite-expression-head
Rules
119×add-sqr-sqrt
82×*-un-lft-identity
80×times-frac
79×add-cube-cbrt
78×associate-*r*
56×unpow-prod-down
51×prod-diff
46×associate--l+
40×distribute-rgt-in distribute-lft-in
39×associate-+r+
31×add-exp-log
24×pow1 log-prod unpow2 sqr-pow
19×unswap-sqr
14×log-pow
13×add-cbrt-cube
12×prod-exp
9×div-exp associate-*l* add-log-exp
6×pow-to-exp associate-+l+ pow-exp
5×sub-neg
4×expm1-log1p-u cbrt-unprod log1p-expm1-u
3×associate-*r/ pow-prod-down *-commutative
2×sum-log distribute-lft-out--
1×cbrt-undiv +-commutative associate-+r- flip3-- fma-def flip3-+ diff-log flip-- flip-+ div-inv difference-of-squares
Counts
4 → 259
Calls
4 calls:
31.0ms
(* 1/2 (/ (pow y 2) (pow 1.0 2)))
37.0ms
(+ (* x (log y)) (- (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))) t))
35.0ms
(* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
4.0ms
(* x (log y))

series390.0ms

Counts
4 → 12
Calls
4 calls:
55.0ms
(* 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))
107.0ms
(* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
39.0ms
(* x (log y))

simplify131.0ms

Algorithm
egg-herbie
Counts
271 → 271
Iterations

Useful iterations: 2 (95.0ms)

IterNodesCost
010993338
148112275
250012269

prune891.0ms

Filtered
271 candidates to 161 candidates (59.4%)
Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

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

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
81×add-sqr-sqrt
80×times-frac
72×associate-*r*
56×unpow-prod-down
45×add-cube-cbrt *-un-lft-identity
29×add-exp-log
24×unpow2 sqr-pow
18×unswap-sqr
12×log-prod
11×prod-exp add-cbrt-cube
9×pow1 div-exp
6×distribute-rgt-in pow-to-exp distribute-lft-in associate-*l* pow-exp associate--l+ add-log-exp
4×expm1-log1p-u log1p-expm1-u
3×prod-diff cbrt-unprod
2×pow-prod-down *-commutative
1×cbrt-undiv sub-neg flip3-- fma-neg diff-log associate-*r/ log-pow flip-- fma-udef div-inv
Counts
4 → 173
Calls
4 calls:
27.0ms
(* 1/2 (/ (pow y 2) (pow 1.0 2)))
4.0ms
(- (* x (log y)) t)
0.0ms
(fma (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2))))) z (- (* x (log y)) t))
4.0ms
(* x (log y))

series316.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(* 1/2 (/ (pow y 2) (pow 1.0 2)))
52.0ms
(- (* x (log y)) t)
170.0ms
(fma (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2))))) z (- (* x (log y)) t))
42.0ms
(* x (log y))

simplify78.0ms

Algorithm
egg-herbie
Counts
185 → 185
Iterations

Useful iterations: 2 (65.0ms)

IterNodesCost
07991083
13276908
25001907

prune714.0ms

Filtered
185 candidates to 124 candidates (67.0%)
Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

regimes294.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03421
13421

end0.0ms

sample2.9s

Algorithm
intervals
Results
1.0s23975×body80nan
276.0ms5569×body80valid
249.0ms421×body1280valid
243.0ms831×body640valid
134.0ms758×body320valid
46.0ms446×body160valid