Details

Time bar (total: 7.3s)

sample104.0ms

Algorithm
intervals
Results
38.0ms672×body80nan
11.0ms33×body640valid
10.0ms173×body80valid
7.0ms12×body1280valid
5.0ms24×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

prune2.0ms

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: 7.9b

Counts
2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(* z (log (- 1.0 y)))
0.2b
(* x (log y))
4.5b
(log (- 1.0 y))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt
21×log-prod
18×*-un-lft-identity
12×add-cube-cbrt
10×pow1
8×add-exp-log distribute-rgt-in distribute-lft-in associate-*r*
7×add-cbrt-cube
6×associate-*l*
3×log-pow distribute-lft-out-- add-log-exp difference-of-squares
2×log-div pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×flip3-- rem-log-exp flip--
Counts
3 → 70
Calls
3 calls:
6.0ms
(* z (log (- 1.0 y)))
4.0ms
(* x (log y))
3.0ms
(log (- 1.0 y))

series144.0ms

Counts
3 → 9
Calls
3 calls:
64.0ms
(* z (log (- 1.0 y)))
36.0ms
(* x (log y))
44.0ms
(log (- 1.0 y))

simplify112.0ms

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0332423
11192372
24968355
35001355

prune187.0ms

Filtered
79 candidates to 51 candidates (64.6%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New73679
Fresh000
Picked101
Done000
Total74680

Merged error: 0.1b

Counts
80 → 6

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
24×log-prod
22×add-sqr-sqrt
19×*-un-lft-identity
16×distribute-rgt-in add-cube-cbrt distribute-lft-in
12×associate--l+
10×pow1 associate-+r+ associate-*r*
8×add-exp-log add-cbrt-cube add-log-exp
6×associate-+l+ associate-*l*
4×sub-neg
2×+-commutative flip3-+ associate-*r/ pow-prod-down prod-exp sum-log log-pow *-commutative cbrt-unprod flip-+ distribute-lft-out-- unswap-sqr
1×flip3-- flip-- difference-of-squares
Counts
4 → 96
Calls
4 calls:
4.0ms
(+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))
6.0ms
(+ (* x (log y)) (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
9.0ms
(* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
5.0ms
(* x (log y))

series363.0ms

Counts
4 → 12
Calls
4 calls:
94.0ms
(+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))
132.0ms
(+ (* x (log y)) (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
99.0ms
(* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
37.0ms
(* x (log y))

simplify56.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
04451005
11742946
25001928

prune314.0ms

Filtered
108 candidates to 72 candidates (66.7%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New1053108
Fresh145
Picked101
Done000
Total1077114

Merged error: 0.1b

Counts
114 → 7

localize21.0ms

Local error

Found 4 expressions with local error:

0.3b
(* x (* 2 (log (cbrt y))))
0.3b
(* x (log (cbrt y)))
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
36×log-prod
30×distribute-rgt-in distribute-lft-in
24×cbrt-prod
23×add-sqr-sqrt
21×add-cube-cbrt *-un-lft-identity
12×pow1
11×add-exp-log add-cbrt-cube
6×associate-*r* associate-*l*
4×pow-prod-down prod-exp cbrt-unprod add-log-exp
3×pow1/3
2×log-pow *-commutative
1×unswap-sqr
Counts
4 → 96
Calls
4 calls:
6.0ms
(* x (* 2 (log (cbrt y))))
5.0ms
(* x (log (cbrt y)))
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series551.0ms

Counts
4 → 12
Calls
4 calls:
95.0ms
(* x (* 2 (log (cbrt y))))
91.0ms
(* x (log (cbrt y)))
176.0ms
(cbrt y)
188.0ms
(cbrt y)

simplify42.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0291642
11173565
25001541

prune391.0ms

Filtered
108 candidates to 68 candidates (63.0%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New1062108
Fresh066
Picked101
Done000
Total1078115

Merged error: 0.1b

Counts
115 → 8

localize37.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.7b
(cbrt (* (cbrt y) (cbrt y)))
0.7b
(cbrt (cbrt y))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
16×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 45
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
4.0ms
(cbrt (* (cbrt y) (cbrt y)))
2.0ms
(cbrt (cbrt y))

series866.0ms

Counts
4 → 12
Calls
4 calls:
174.0ms
(cbrt y)
176.0ms
(cbrt y)
272.0ms
(cbrt (* (cbrt y) (cbrt y)))
243.0ms
(cbrt (cbrt y))

simplify105.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 4 (101.0ms)

IterNodesCost
0106215
1236195
2753185
33141185
45001180

prune360.0ms

Filtered
57 candidates to 50 candidates (87.7%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New57057
Fresh077
Picked011
Done000
Total57865

Merged error: 0.1b

Counts
65 → 8

regimes180.0ms

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
04227
14227

end0.0ms

sample3.3s

Algorithm
intervals
Results
1.3s23982×body80nan
345.0ms5536×body80valid
284.0ms837×body640valid
264.0ms407×body1280valid
160.0ms750×body320valid
66.0ms497×body160valid