Details

Time bar (total: 10.5s)

sample158.0ms

Algorithm
intervals
Results
69.0ms858×body80nan
15.0ms174×body80valid
13.0ms30×body640valid
13.0ms16×body1280valid
7.0ms24×body320valid
2.0ms13×body160valid

simplify24.0ms

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.2b

localize11.0ms

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))
5.8b
(log (- 1.0 y))

rewrite32.0ms

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:
15.0ms
(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
7.0ms
(* z (log (- 1.0 y)))
5.0ms
(* x (log y))
2.0ms
(log (- 1.0 y))

series38.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
9.0ms
(* z (log (- 1.0 y)))
7.0ms
(* x (log y))
3.0ms
(log (- 1.0 y))

simplify45.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0436628
11539553
25002530

prune715.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.1b

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))
8.5b
(* z (pow y 2))

rewrite279.0ms

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:
263.0ms
(- (+ (* x (log y)) (- (* z (log 1.0)) (+ (* 1.0 (* z y)) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2)))))) t)
5.0ms
(+ (* 1.0 (* z y)) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2))))
4.0ms
(* x (log y))
5.0ms
(* z (pow y 2))

series74.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(- (+ (* x (log y)) (- (* z (log 1.0)) (+ (* 1.0 (* z y)) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2)))))) t)
19.0ms
(+ (* 1.0 (* z y)) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2))))
7.0ms
(* x (log y))
7.0ms
(* z (pow y 2))

simplify57.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0424816
11761732
25002705

prune1.0s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.1b

localize27.0ms

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)
8.5b
(* z (pow y 2))

rewrite23.0ms

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:
12.0ms
(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
0.0ms
(cbrt y)
0.0ms
(cbrt y)
6.0ms
(* z (pow y 2))

series48.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
10.0ms
(cbrt y)
10.0ms
(cbrt y)
8.0ms
(* z (pow y 2))

simplify51.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0402637
11429528
25001467

prune1.7s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize37.0ms

Local error

Found 4 expressions with local error:

0.7b
(cbrt y)
0.7b
(cbrt y)
0.7b
(cbrt (cbrt y))
8.5b
(* z (pow y 2))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
15×cbrt-prod
11×add-cube-cbrt *-un-lft-identity
9×add-exp-log
8×associate-*r*
6×add-cbrt-cube
4×pow1 unpow-prod-down add-log-exp unswap-sqr
3×pow1/3 associate-*l* prod-exp
2×unpow2 sqr-pow
1×pow-to-exp pow-exp *-commutative cbrt-unprod
Counts
4 → 63
Calls
4 calls:
0.0ms
(cbrt y)
0.0ms
(cbrt y)
1.0ms
(cbrt (cbrt y))
6.0ms
(* z (pow y 2))

series41.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(cbrt y)
12.0ms
(cbrt y)
12.0ms
(cbrt (cbrt y))
8.0ms
(* z (pow y 2))

simplify100.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 2 (21.0ms)

IterNodesCost
0170254
1557226
22634214
35001214

prune1.2s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

regimes515.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04629
14629

end0.0ms

sample4.3s

Algorithm
intervals
Results
1.9s24019×body80nan
487.0ms5540×body80valid
386.0ms864×body640valid
296.0ms375×body1280valid
220.0ms760×body320valid
89.0ms487×body160valid