Details

Time bar (total: 6.9s)

sample100.0ms

Algorithm
intervals
Results
35.0ms822×body80nan
9.0ms23×body640valid
9.0ms182×body80valid
8.0ms15×body1280valid
4.0ms22×body320valid
2.0ms15×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

prune3.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 10.9b

Counts
2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(* z (log (- 1.0 y)))
0.0b
(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
0.2b
(* x (log y))
4.2b
(log (- 1.0 y))

rewrite22.0ms

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
(* z (log (- 1.0 y)))
6.0ms
(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
4.0ms
(* x (log y))
3.0ms
(log (- 1.0 y))

series283.0ms

Counts
4 → 12
Calls
4 calls:
68.0ms
(* z (log (- 1.0 y)))
104.0ms
(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
55.0ms
(* x (log y))
55.0ms
(log (- 1.0 y))

simplify48.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0436628
11539553
25002530

prune263.0ms

Filtered
98 candidates to 66 candidates (67.3%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New91798
Fresh000
Picked101
Done000
Total92799

Merged error: 0.0b

Counts
99 → 7

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* 1.0 (* z y)) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2))))
0.0b
(* 1/2 (/ (* z (pow y 2)) (pow 1.0 2)))
0.2b
(* x (log y))
9.7b
(* z (pow y 2))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
51×add-exp-log
26×prod-exp
25×add-sqr-sqrt
24×associate-*r*
17×add-cbrt-cube
15×add-cube-cbrt *-un-lft-identity
12×div-exp
9×pow1 associate-*l*
8×pow-to-exp times-frac pow-exp
7×unpow-prod-down
6×log-prod cbrt-unprod add-log-exp unswap-sqr
3×distribute-rgt-in distribute-lft-in *-commutative unpow2 sqr-pow
2×cbrt-undiv pow-prod-down
1×+-commutative flip3-+ associate-*r/ sum-log log-pow flip-+ div-inv
Counts
4 → 105
Calls
4 calls:
5.0ms
(+ (* 1.0 (* z y)) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2))))
10.0ms
(* 1/2 (/ (* z (pow y 2)) (pow 1.0 2)))
4.0ms
(* x (log y))
6.0ms
(* z (pow y 2))

series239.0ms

Counts
4 → 12
Calls
4 calls:
112.0ms
(+ (* 1.0 (* z y)) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2))))
62.0ms
(* 1/2 (/ (* z (pow y 2)) (pow 1.0 2)))
36.0ms
(* x (log y))
29.0ms
(* z (pow y 2))

simplify72.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0488651
12291577
25001577

prune385.0ms

Filtered
117 candidates to 69 candidates (59.0%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New1125117
Fresh516
Picked101
Done000
Total1186124

Merged error: 0.0b

Counts
124 → 6

localize29.0ms

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)
9.7b
(* z (pow y 2))

rewrite22.0ms

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:
10.0ms
(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
1.0ms
(cbrt y)
1.0ms
(cbrt y)
6.0ms
(* z (pow y 2))

series490.0ms

Counts
4 → 12
Calls
4 calls:
101.0ms
(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
175.0ms
(cbrt y)
184.0ms
(cbrt y)
30.0ms
(* z (pow y 2))

simplify56.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0402637
11429528
25001467

prune594.0ms

Filtered
109 candidates to 90 candidates (82.6%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New1054109
Fresh415
Picked101
Done000
Total1105115

Merged error: 0.0b

Counts
115 → 5

localize35.0ms

Local error

Found 4 expressions with local error:

0.7b
(cbrt y)
4.2b
(exp (log (pow y 1/3)))
5.1b
(pow y 1/3)
9.7b
(* z (pow y 2))

rewrite15.0ms

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)
6.0ms
(* z (pow y 2))

series557.0ms

Counts
4 → 12
Calls
4 calls:
176.0ms
(cbrt y)
176.0ms
(exp (log (pow y 1/3)))
176.0ms
(pow y 1/3)
30.0ms
(* z (pow y 2))

simplify143.0ms

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 3 (130.0ms)

IterNodesCost
0241257
1817214
23803184
35001165

prune354.0ms

Filtered
87 candidates to 50 candidates (57.5%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New87087
Fresh044
Picked011
Done000
Total87592

Merged error: 0.0b

Counts
92 → 5

regimes159.0ms

Accuracy

0% (0.3b 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

sample2.9s

Algorithm
intervals
Results
1.1s23996×body80nan
281.0ms5550×body80valid
256.0ms872×body640valid
241.0ms408×body1280valid
132.0ms758×body320valid
48.0ms444×body160valid