Details

Time bar (total: 7.8s)

sample112.0ms

Algorithm
intervals
Results
35.0ms883×body80nan
9.0ms16×body1280valid
8.0ms174×body80valid
7.0ms26×body640valid
5.0ms29×body320valid
1.0ms12×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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.9b

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)))
0.3b
(* x (log y))
4.5b
(log (- 1.0 y))

rewrite74.0ms

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:
43.0ms
(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
15.0ms
(* z (log (- 1.0 y)))
9.0ms
(* x (log y))
5.0ms
(log (- 1.0 y))

series246.0ms

Counts
4 → 12
Calls
4 calls:
95.0ms
(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
64.0ms
(* z (log (- 1.0 y)))
45.0ms
(* x (log y))
42.0ms
(log (- 1.0 y))

simplify46.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0436628
11539553
25002530

prune268.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (+ (* x (log y)) (- (* z (log 1.0)) (+ (* 1.0 (* z y)) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2)))))) t)
0.0b
(+ (* 1.0 (* z y)) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2))))
0.3b
(* x (log y))
8.0b
(* z (pow y 2))

rewrite679.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
20×add-log-exp
13×*-un-lft-identity
12×associate-*r*
11×add-exp-log add-cube-cbrt
8×add-cbrt-cube
7×pow1
6×log-prod diff-log associate-*l*
5×sum-log unswap-sqr
4×unpow-prod-down prod-exp
3×distribute-rgt-in distribute-lft-in
2×*-commutative cbrt-unprod unpow2 sqr-pow
1×+-commutative associate--l- pow-to-exp associate-+r- sub-neg flip3-- flip3-+ pow-prod-down pow-exp associate--l+ log-pow flip-- flip-+ distribute-lft-out-- difference-of-squares
Counts
4 → 82
Calls
4 calls:
634.0ms
(- (+ (* x (log y)) (- (* z (log 1.0)) (+ (* 1.0 (* z y)) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2)))))) t)
17.0ms
(+ (* 1.0 (* z y)) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2))))
9.0ms
(* x (log y))
16.0ms
(* z (pow y 2))

series382.0ms

Counts
4 → 12
Calls
4 calls:
196.0ms
(- (+ (* x (log y)) (- (* z (log 1.0)) (+ (* 1.0 (* z y)) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2)))))) t)
114.0ms
(+ (* 1.0 (* z y)) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2))))
38.0ms
(* x (log y))
34.0ms
(* z (pow y 2))

simplify57.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
0424822
11769732
25002705

prune359.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (pow 1.0 2) (* z (pow y 2)))
0.3b
(* x (log y))
0.7b
(/ -1/2 (/ (pow 1.0 2) (* z (pow y 2))))
8.0b
(* z (pow y 2))

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
77×add-exp-log
76×times-frac
48×add-sqr-sqrt
40×add-cube-cbrt *-un-lft-identity
37×div-exp
22×unpow-prod-down prod-exp add-cbrt-cube
15×pow-to-exp pow-exp
13×associate-/r*
12×associate-*r*
11×associate-/l*
8×unpow2 sqr-pow
7×pow1 cbrt-undiv
6×log-prod associate-*l* div-inv
5×unswap-sqr
4×cbrt-unprod add-log-exp
3×distribute-rgt-in distribute-lft-in
2×frac-2neg clear-num *-commutative
1×pow-prod-down associate-/r/ log-pow
Counts
4 → 171
Calls
4 calls:
13.0ms
(/ (pow 1.0 2) (* z (pow y 2)))
9.0ms
(* x (log y))
18.0ms
(/ -1/2 (/ (pow 1.0 2) (* z (pow y 2))))
12.0ms
(* z (pow y 2))

series171.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(/ (pow 1.0 2) (* z (pow y 2)))
44.0ms
(* x (log y))
58.0ms
(/ -1/2 (/ (pow 1.0 2) (* z (pow y 2))))
32.0ms
(* z (pow y 2))

simplify74.0ms

Algorithm
egg-herbie
Counts
183 → 183
Iterations

Useful iterations: 1 (16.0ms)

IterNodesCost
06171095
12725963
25001963

prune797.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.3b
(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
0.7b
(cbrt y)
0.7b
(cbrt y)
8.0b
(* z (pow y 2))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
36×log-prod
30×distribute-rgt-in distribute-lft-in
27×add-sqr-sqrt
24×cbrt-prod associate-+l+
21×add-cube-cbrt *-un-lft-identity
12×associate-+r+
9×add-exp-log
8×associate-*r*
6×add-cbrt-cube add-log-exp
4×pow1 unpow-prod-down unswap-sqr
3×associate-*l* prod-exp
2×pow1/3 unpow2 sqr-pow
1×+-commutative pow-to-exp flip3-+ pow-exp sum-log *-commutative cbrt-unprod flip-+ distribute-lft-out
Counts
4 → 97
Calls
4 calls:
27.0ms
(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
1.0ms
(cbrt y)
1.0ms
(cbrt y)
12.0ms
(* z (pow y 2))

series486.0ms

Counts
4 → 12
Calls
4 calls:
106.0ms
(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
183.0ms
(cbrt y)
168.0ms
(cbrt y)
29.0ms
(* z (pow y 2))

simplify55.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0402637
11429528
25001467

prune569.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

regimes153.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04422
14422

end0.0ms

sample3.1s

Algorithm
intervals
Results
989.0ms24530×body80nan
255.0ms5489×body80valid
243.0ms431×body1280valid
238.0ms864×body640valid
122.0ms765×body320valid
46.0ms473×body160valid