Details

Time bar (total: 7.2s)

sample97.0ms

Algorithm
intervals
Results
33.0ms772×body80nan
11.0ms37×body640valid
8.0ms174×body80valid
7.0ms13×body1280valid
4.0ms21×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

prune3.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.0b

localize13.0ms

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)
0.3b
(* x (log y))
4.0b
(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))

series237.0ms

Counts
4 → 12
Calls
4 calls:
66.0ms
(* z (log (- 1.0 y)))
86.0ms
(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
42.0ms
(* x (log y))
43.0ms
(log (- 1.0 y))

simplify45.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0436628
11539553
25002530

prune243.0ms

Filtered
98 candidates to 66 candidates (67.3%)
Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b
(* 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)))))))
0.3b
(* x (log y))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
81×add-sqr-sqrt
80×times-frac
72×associate-*r*
56×unpow-prod-down
45×add-cube-cbrt *-un-lft-identity
28×add-exp-log
24×unpow2 sqr-pow
18×log-prod unswap-sqr
11×distribute-rgt-in distribute-lft-in prod-exp
10×associate-+r+ add-cbrt-cube
9×div-exp
8×pow1
6×pow-to-exp associate-+l+ associate-*l* pow-exp associate--l+
5×add-log-exp
3×cbrt-unprod
2×sub-neg pow-prod-down *-commutative
1×cbrt-undiv +-commutative flip3-+ associate-*r/ sum-log log-pow flip-+ div-inv
Counts
3 → 162
Calls
3 calls:
20.0ms
(* 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)))))))
4.0ms
(* x (log y))

series220.0ms

Counts
3 → 9
Calls
3 calls:
53.0ms
(* 1/2 (/ (pow y 2) (pow 1.0 2)))
124.0ms
(+ (* x (log y)) (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
43.0ms
(* x (log y))

simplify75.0ms

Algorithm
egg-herbie
Counts
171 → 171
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
07691130
13140982
25001981

prune557.0ms

Filtered
171 candidates to 112 candidates (65.5%)
Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.1b

localize23.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt y) (cbrt y))
0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
5.0ms
(* (cbrt y) (cbrt y))
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series734.0ms

Counts
4 → 12
Calls
4 calls:
202.0ms
(* (cbrt y) (cbrt y))
179.0ms
(cbrt y)
180.0ms
(cbrt y)
172.0ms
(cbrt y)

simplify86.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (82.0ms)

IterNodesCost
0115288
1472261
22959238
35003235

prune397.0ms

Filtered
85 candidates to 64 candidates (75.3%)
Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (pow y 1/3) (pow y 1/3))
0.6b
(cbrt y)
5.2b
(pow y 1/3)
5.2b
(pow y 1/3)

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
29×add-sqr-sqrt
24×unpow-prod-down
18×add-exp-log
17×add-cube-cbrt *-un-lft-identity
12×sqr-pow
9×prod-exp unswap-sqr
8×pow-to-exp pow-exp add-cbrt-cube
7×swap-sqr associate-*r* associate-*l*
6×pow1 pow-unpow unpow1/3
4×cbrt-unprod add-log-exp
3×cbrt-prod
2×pow-pow
1×pow2 pow1/3 pow-prod-down pow-sqr *-commutative pow-prod-up
Counts
4 → 102
Calls
4 calls:
7.0ms
(* (pow y 1/3) (pow y 1/3))
1.0ms
(cbrt y)
2.0ms
(pow y 1/3)
2.0ms
(pow y 1/3)

series706.0ms

Counts
4 → 12
Calls
4 calls:
179.0ms
(* (pow y 1/3) (pow y 1/3))
183.0ms
(cbrt y)
171.0ms
(pow y 1/3)
172.0ms
(pow y 1/3)

simplify37.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0188328
1802276
25001265

prune452.0ms

Filtered
114 candidates to 70 candidates (61.4%)
Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

regimes150.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03520
13520

end0.0ms

sample2.9s

Algorithm
intervals
Results
1.1s24584×body80nan
280.0ms5555×body80valid
271.0ms925×body640valid
225.0ms381×body1280valid
126.0ms723×body320valid
50.0ms453×body160valid