Details

Time bar (total: 6.9s)

sample110.0ms

Algorithm
intervals
Results
37.0ms865×body80nan
10.0ms17×body1280valid
9.0ms31×body640valid
8.0ms168×body80valid
5.0ms29×body320valid
1.0ms13×body160valid

simplify23.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0217
1307
2397
3457
4607
5887
61257
71767
82087
92257
102937
112937

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.4b

localize10.0ms

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))
4.3b
(log (- 1.0 y))

rewrite24.0ms

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:
6.0ms
(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
6.0ms
(* z (log (- 1.0 y)))
6.0ms
(* x (log y))
3.0ms
(log (- 1.0 y))

series226.0ms

Counts
4 → 12
Calls
4 calls:
82.0ms
(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
62.0ms
(* z (log (- 1.0 y)))
40.0ms
(* x (log y))
42.0ms
(log (- 1.0 y))

simplify46.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0436628
11539553
25002530

prune242.0ms

Filtered
98 candidates to 66 candidates (67.3%)
Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize22.0ms

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))))
0.2b
(* x (log y))
9.2b
(* z (pow y 2))

rewrite28.0ms

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:
11.0ms
(- (+ (* 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))
6.0ms
(* z (pow y 2))

series350.0ms

Counts
4 → 12
Calls
4 calls:
173.0ms
(- (+ (* x (log y)) (- (* z (log 1.0)) (+ (* 1.0 (* z y)) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2)))))) t)
108.0ms
(+ (* 1.0 (* z y)) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2))))
40.0ms
(* x (log y))
29.0ms
(* z (pow y 2))

simplify59.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0424816
11761732
25002705

prune322.0ms

Filtered
94 candidates to 61 candidates (64.9%)
Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.1b

localize24.0ms

Local error

Found 4 expressions with local error:

0.3b
(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
0.6b
(cbrt y)
0.6b
(cbrt y)
9.2b
(* z (pow y 2))

rewrite24.0ms

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:
9.0ms
(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
1.0ms
(cbrt y)
1.0ms
(cbrt y)
9.0ms
(* z (pow y 2))

series527.0ms

Counts
4 → 12
Calls
4 calls:
102.0ms
(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
182.0ms
(cbrt y)
214.0ms
(cbrt y)
29.0ms
(* z (pow y 2))

simplify50.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0402637
11429528
25001467

prune561.0ms

Filtered
109 candidates to 89 candidates (81.7%)
Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize40.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
4.2b
(exp (log (pow y 1/3)))
5.1b
(pow y 1/3)
9.2b
(* z (pow y 2))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
13×add-cube-cbrt *-un-lft-identity
10×add-exp-log unpow-prod-down
8×associate-*r*
7×log-prod exp-sum
6×add-cbrt-cube
5×pow1
4×exp-prod add-log-exp unswap-sqr sqr-pow
3×cbrt-prod pow-unpow associate-*l* prod-exp
2×pow-to-exp pow-exp unpow2
1×pow-pow unpow1/3 pow1/3 log-pow *-commutative cbrt-unprod rem-exp-log
Counts
4 → 75
Calls
4 calls:
1.0ms
(cbrt y)
4.0ms
(exp (log (pow y 1/3)))
2.0ms
(pow y 1/3)
5.0ms
(* z (pow y 2))

series544.0ms

Counts
4 → 12
Calls
4 calls:
173.0ms
(cbrt y)
175.0ms
(exp (log (pow y 1/3)))
168.0ms
(pow y 1/3)
29.0ms
(* z (pow y 2))

simplify131.0ms

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 3 (126.0ms)

IterNodesCost
0241253
1815214
23817184
35002165

prune351.0ms

Filtered
87 candidates to 50 candidates (57.5%)
Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

regimes122.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04223
14223

end0.0ms

sample3.0s

Algorithm
intervals
Results
1.1s24606×body80nan
285.0ms5558×body80valid
264.0ms894×body640valid
244.0ms415×body1280valid
128.0ms735×body320valid
47.0ms442×body160valid