Details

Time bar (total: 9.3s)

sample144.0ms

Algorithm
intervals
Results
56.0ms818×body80nan
15.0ms175×body80valid
14.0ms31×body640valid
11.0ms14×body1280valid
7.0ms26×body320valid
5.0ms13×body160valid

simplify27.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0227
1386
2536
3616
4786
51106
61756
72846
83636
93926
104766
114766

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 10.4b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x (log y)) (* z (log (- 1.0 y))))
0.0b
(* z (log (- 1.0 y)))
0.2b
(* x (log y))
7.8b
(log (- 1.0 y))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
37×log-prod
31×add-sqr-sqrt
27×*-un-lft-identity
17×add-cube-cbrt
16×distribute-rgt-in distribute-lft-in
11×pow1
10×associate-+r+
9×add-exp-log
8×associate-*r* add-cbrt-cube
6×associate-+l+ associate-*l* add-log-exp
5×distribute-lft-out-- difference-of-squares
4×expm1-log1p-u log1p-expm1-u
3×log-pow
2×log-div pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×+-commutative flip3-- fma-def flip3-+ rem-log-exp sum-log flip-- flip-+
Counts
4 → 106
Calls
4 calls:
8.0ms
(+ (* x (log y)) (* z (log (- 1.0 y))))
7.0ms
(* z (log (- 1.0 y)))
4.0ms
(* x (log y))
3.0ms
(log (- 1.0 y))

series227.0ms

Counts
4 → 12
Calls
4 calls:
79.0ms
(+ (* x (log y)) (* z (log (- 1.0 y))))
64.0ms
(* z (log (- 1.0 y)))
43.0ms
(* x (log y))
41.0ms
(log (- 1.0 y))

simplify53.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0496683
11771625
25001600

prune359.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 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)))))))
0.0b
(* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
0.2b
(* x (log y))

rewrite90.0ms

Algorithm
rewrite-expression-head
Rules
118×add-sqr-sqrt
81×*-un-lft-identity
80×times-frac
78×add-cube-cbrt associate-*r*
56×unpow-prod-down
48×prod-diff
40×distribute-rgt-in distribute-lft-in
34×associate-+r+
31×add-exp-log
24×pow1 log-prod unpow2 sqr-pow
19×unswap-sqr
14×log-pow
13×add-cbrt-cube
12×prod-exp associate--l+
9×div-exp associate-*l*
6×pow-to-exp associate-+l+ pow-exp add-log-exp
4×expm1-log1p-u sub-neg cbrt-unprod log1p-expm1-u
3×associate-*r/ pow-prod-down *-commutative
2×distribute-lft-out--
1×cbrt-undiv +-commutative flip3-- fma-def flip3-+ sum-log flip-- flip-+ div-inv difference-of-squares
Counts
4 → 252
Calls
4 calls:
26.0ms
(* 1/2 (/ (pow y 2) (pow 1.0 2)))
15.0ms
(+ (* x (log y)) (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
32.0ms
(* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
4.0ms
(* x (log y))

series320.0ms

Counts
4 → 12
Calls
4 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)))))))
100.0ms
(* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
42.0ms
(* x (log y))

simplify115.0ms

Algorithm
egg-herbie
Counts
264 → 264
Iterations

Useful iterations: 2 (87.0ms)

IterNodesCost
010323139
141952176
250012168

prune830.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt y) (cbrt y))
0.7b
(cbrt y)
0.7b
(cbrt y)
0.7b
(cbrt y)

rewrite9.0ms

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×expm1-log1p-u add-cbrt-cube log1p-expm1-u 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 → 81
Calls
4 calls:
5.0ms
(* (cbrt y) (cbrt y))
0.0ms
(cbrt y)
0.0ms
(cbrt y)
1.0ms
(cbrt y)

series720.0ms

Counts
4 → 12
Calls
4 calls:
201.0ms
(* (cbrt y) (cbrt y))
176.0ms
(cbrt y)
175.0ms
(cbrt y)
168.0ms
(cbrt y)

simplify86.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (81.0ms)

IterNodesCost
0119308
1477281
22972258
35001255

prune638.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt y) (cbrt y))
0.7b
(cbrt y)
0.7b
(cbrt y)
5.0b
(pow y 1/3)

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
22×cbrt-prod
16×add-cube-cbrt *-un-lft-identity
12×pow1
8×pow1/3
7×add-exp-log
6×swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
3×unpow-prod-down pow-unpow
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-to-exp pow-pow pow-plus unpow1/3 pow-exp prod-exp *-commutative cbrt-unprod sqr-pow
Counts
4 → 88
Calls
4 calls:
5.0ms
(* (cbrt y) (cbrt y))
0.0ms
(cbrt y)
0.0ms
(cbrt y)
1.0ms
(pow y 1/3)

series690.0ms

Counts
4 → 12
Calls
4 calls:
193.0ms
(* (cbrt y) (cbrt y))
174.0ms
(cbrt y)
163.0ms
(cbrt y)
159.0ms
(pow y 1/3)

simplify147.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0179308
1790229
24954214
35001214

prune478.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

regimes188.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03723
13723

end0.0ms

sample4.0s

Algorithm
intervals
Results
1.7s23888×body80nan
470.0ms5588×body80valid
369.0ms846×body640valid
316.0ms404×body1280valid
207.0ms720×body320valid
83.0ms478×body160valid