Details

Time bar (total: 7.9s)

sample94.0ms

Algorithm
intervals
Results
35.0ms753×body80nan
9.0ms191×body80valid
7.0ms25×body640valid
5.0ms9×body1280valid
2.0ms14×body320valid
2.0ms17×body160valid

simplify24.0ms

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: 8.0b

Counts
2 → 1

localize12.0ms

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))))
0.2b
(* x (log y))
7.4b
(log (- 1.0 y))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
37×log-prod
35×*-un-lft-identity
31×add-sqr-sqrt
17×add-cube-cbrt
16×distribute-rgt-in distribute-lft-in
11×pow1
10×associate-+r+ associate-*l*
9×add-exp-log
8×associate-*r* add-cbrt-cube
6×associate-+l+ add-log-exp
5×distribute-lft-out-- difference-of-squares
4×distribute-lft-out
3×log-pow
2×log-div pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×+-commutative flip3-- flip3-+ rem-log-exp sum-log flip-- flip-+
Counts
4 → 101
Calls
4 calls:
6.0ms
(* z (log (- 1.0 y)))
21.0ms
(+ (* x (log y)) (* z (log (- 1.0 y))))
4.0ms
(* x (log y))
3.0ms
(log (- 1.0 y))

series247.0ms

Counts
4 → 12
Calls
4 calls:
72.0ms
(* z (log (- 1.0 y)))
84.0ms
(+ (* x (log y)) (* z (log (- 1.0 y))))
45.0ms
(* x (log y))
45.0ms
(log (- 1.0 y))

simplify53.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0441699
11545643
25001612

prune237.0ms

Filtered
113 candidates to 77 candidates (68.1%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New1058113
Fresh000
Picked101
Done000
Total1068114

Merged error: 0.0b

Counts
114 → 8

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))
6.1b
(* z (pow y 2))

rewrite269.0ms

Algorithm
rewrite-expression-head
Rules
248×associate-*r*
213×add-sqr-sqrt
180×times-frac
112×unpow-prod-down
101×*-un-lft-identity
91×add-cube-cbrt
78×unswap-sqr
51×add-exp-log
50×unpow2 sqr-pow
41×associate-*l*
31×associate-*r/
26×prod-exp
22×associate-/l*
17×add-cbrt-cube
12×div-exp *-commutative
11×pow1
8×pow-to-exp pow-exp associate-/r*
6×log-prod cbrt-unprod add-log-exp
4×distribute-lft-out
3×distribute-rgt-in distribute-lft-in pow-prod-down un-div-inv
2×cbrt-undiv clear-num
1×+-commutative frac-2neg flip3-+ sum-log log-pow flip-+ div-inv
Counts
4 → 315
Calls
4 calls:
189.0ms
(+ (* 1.0 (* z y)) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2))))
51.0ms
(* 1/2 (/ (* z (pow y 2)) (pow 1.0 2)))
4.0ms
(* x (log y))
6.0ms
(* z (pow y 2))

series265.0ms

Counts
4 → 12
Calls
4 calls:
123.0ms
(+ (* 1.0 (* z y)) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2))))
65.0ms
(* 1/2 (/ (* z (pow y 2)) (pow 1.0 2)))
39.0ms
(* x (log y))
37.0ms
(* z (pow y 2))

simplify57.0ms

Algorithm
egg-herbie
Counts
327 → 327
Iterations

Useful iterations: 1 (32.0ms)

IterNodesCost
014791941
150011721

prune1.1s

Filtered
327 candidates to 210 candidates (64.2%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New3207327
Fresh617
Picked011
Done000
Total3269335

Merged error: 0.0b

Counts
335 → 9

localize29.0ms

Local error

Found 4 expressions with local error:

0.3b
(+ (* (* 2 (log (cbrt y))) x) (* x (log (cbrt y))))
0.7b
(cbrt y)
0.7b
(cbrt y)
6.1b
(* z (pow y 2))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
26×*-un-lft-identity
19×add-sqr-sqrt
13×add-cube-cbrt associate-*l*
12×cbrt-prod associate-+r+ log-prod
9×add-exp-log associate-*r*
8×distribute-lft-out
6×pow1 distribute-rgt-in distribute-lft-in *-commutative add-cbrt-cube add-log-exp
4×unpow-prod-down unswap-sqr
3×prod-exp
2×distribute-rgt-out pow1/3 unpow2 sqr-pow
1×+-commutative pow-to-exp flip3-+ pow-prod-down pow-exp sum-log cbrt-unprod flip-+
Counts
4 → 83
Calls
4 calls:
27.0ms
(+ (* (* 2 (log (cbrt y))) x) (* x (log (cbrt y))))
1.0ms
(cbrt y)
1.0ms
(cbrt y)
7.0ms
(* z (pow y 2))

series538.0ms

Counts
4 → 12
Calls
4 calls:
139.0ms
(+ (* (* 2 (log (cbrt y))) x) (* x (log (cbrt y))))
182.0ms
(cbrt y)
185.0ms
(cbrt y)
31.0ms
(* z (pow y 2))

simplify49.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0322518
11220429
25001354

prune383.0ms

Filtered
95 candidates to 66 candidates (69.5%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New92395
Fresh347
Picked101
Done011
Total968104

Merged error: 0.0b

Counts
104 → 8

localize33.0ms

Local error

Found 4 expressions with local error:

0.7b
(cbrt y)
0.7b
(cbrt y)
0.7b
(cbrt y)
6.1b
(* z (pow y 2))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
10×add-cube-cbrt *-un-lft-identity
9×add-exp-log cbrt-prod
8×associate-*r*
6×pow1 add-cbrt-cube
4×unpow-prod-down add-log-exp unswap-sqr
3×pow1/3 associate-*l* prod-exp
2×unpow2 sqr-pow
1×pow-to-exp pow-prod-down pow-exp *-commutative cbrt-unprod
Counts
4 → 61
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)
7.0ms
(* z (pow y 2))

series617.0ms

Counts
4 → 12
Calls
4 calls:
191.0ms
(cbrt y)
200.0ms
(cbrt y)
188.0ms
(cbrt y)
38.0ms
(* z (pow y 2))

simplify100.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 2 (21.0ms)

IterNodesCost
0139221
1495195
22393185
35001185

prune368.0ms

Filtered
73 candidates to 54 candidates (74.0%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New73073
Fresh066
Picked011
Done011
Total73881

Merged error: 0.0b

Counts
81 → 8

regimes234.0ms

Accuracy

0% (0.1b remaining)

Error of 0.3b against oracle of 0.2b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03015
13015

end0.0ms

sample3.0s

Algorithm
intervals
Results
1.1s24607×body80nan
282.0ms5511×body80valid
270.0ms904×body640valid
241.0ms410×body1280valid
125.0ms715×body320valid
54.0ms491×body160valid