Details

Time bar (total: 7.6s)

sample95.0ms

Algorithm
intervals
Results
34.0ms746×body80nan
9.0ms30×body640valid
9.0ms180×body80valid
5.0ms9×body1280valid
4.0ms26×body320valid
1.0ms13×body160valid

simplify25.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0217
1307
2397
3457
4607
5887
61257
71767
82087
92257
102937
112937

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.8b

localize11.0ms

Local error

Found 2 expressions with local error:

0.3b
(* x (log y))
6.4b
(log (- 1.0 y))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt log-prod
9×*-un-lft-identity
7×add-cube-cbrt
6×pow1
5×add-exp-log
4×associate-*r* add-cbrt-cube
3×distribute-rgt-in distribute-lft-in associate-*l*
2×log-div log-pow add-log-exp
1×flip3-- rem-log-exp pow-prod-down prod-exp *-commutative flip-- cbrt-unprod distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 41
Calls
2 calls:
4.0ms
(* x (log y))
2.0ms
(log (- 1.0 y))

series88.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(* x (log y))
49.0ms
(log (- 1.0 y))

simplify67.0ms

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 2 (20.0ms)

IterNodesCost
0213219
1672193
22497182
35002182

prune141.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
90×add-sqr-sqrt
80×times-frac
78×associate-*r*
56×unpow-prod-down
53×*-un-lft-identity
50×add-cube-cbrt
31×add-exp-log
24×log-prod unpow2 sqr-pow
19×unswap-sqr
16×distribute-rgt-in distribute-lft-in
13×add-cbrt-cube
12×pow1 prod-exp associate--l+
10×associate-+r+
9×div-exp associate-*l*
6×pow-to-exp associate-+l+ pow-exp add-log-exp
4×sub-neg cbrt-unprod
3×associate-*r/ pow-prod-down *-commutative
2×log-pow distribute-lft-out--
1×cbrt-undiv +-commutative flip3-- flip3-+ sum-log flip-- flip-+ div-inv difference-of-squares
Counts
4 → 195
Calls
4 calls:
29.0ms
(* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
26.0ms
(* 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))

series330.0ms

Counts
4 → 12
Calls
4 calls:
103.0ms
(* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
52.0ms
(* 1/2 (/ (pow y 2) (pow 1.0 2)))
133.0ms
(+ (* x (log y)) (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
41.0ms
(* x (log y))

simplify104.0ms

Algorithm
egg-herbie
Counts
207 → 207
Iterations

Useful iterations: 2 (82.0ms)

IterNodesCost
08711525
136701354
250021353

prune718.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.1b

localize25.0ms

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)

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×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:
6.0ms
(* (cbrt y) (cbrt y))
0.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series763.0ms

Counts
4 → 12
Calls
4 calls:
212.0ms
(* (cbrt y) (cbrt y))
186.0ms
(cbrt y)
186.0ms
(cbrt y)
178.0ms
(cbrt y)

simplify92.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (87.0ms)

IterNodesCost
0115288
1472261
22959238
35003235

prune438.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.1b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x (log y)) (* (* z (+ (sqrt (log 1.0)) (sqrt (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) (- (sqrt (log 1.0)) (sqrt (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))))
0.2b
(* z (+ (sqrt (log 1.0)) (sqrt (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
0.2b
(* (* z (+ (sqrt (log 1.0)) (sqrt (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) (- (sqrt (log 1.0)) (sqrt (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
0.3b
(* x (log y))

rewrite123.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
23×*-un-lft-identity
20×associate-*r*
16×pow1
13×add-exp-log add-cube-cbrt add-cbrt-cube
12×log-prod sqrt-prod
11×distribute-rgt-in distribute-lft-in
10×associate-*r/
7×associate-*l*
6×associate-+l+ add-log-exp
5×flip3-+ pow-prod-down prod-exp cbrt-unprod flip-+
4×frac-times sub-neg associate-+r+ difference-of-squares
3×flip3-- log-pow *-commutative flip-- distribute-lft-out distribute-lft-out--
2×associate-*l/ unswap-sqr
1×+-commutative sum-log
Counts
4 → 108
Calls
4 calls:
7.0ms
(+ (* x (log y)) (* (* z (+ (sqrt (log 1.0)) (sqrt (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) (- (sqrt (log 1.0)) (sqrt (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))))
38.0ms
(* z (+ (sqrt (log 1.0)) (sqrt (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
71.0ms
(* (* z (+ (sqrt (log 1.0)) (sqrt (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) (- (sqrt (log 1.0)) (sqrt (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
4.0ms
(* x (log y))

series871.0ms

Counts
4 → 12
Calls
4 calls:
138.0ms
(+ (* x (log y)) (* (* z (+ (sqrt (log 1.0)) (sqrt (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) (- (sqrt (log 1.0)) (sqrt (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))))
203.0ms
(* z (+ (sqrt (log 1.0)) (sqrt (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
491.0ms
(* (* z (+ (sqrt (log 1.0)) (sqrt (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) (- (sqrt (log 1.0)) (sqrt (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
39.0ms
(* x (log y))

simplify109.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (84.0ms)

IterNodesCost
06542243
133041894
250011874

prune495.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.1b

regimes215.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03320
13320

end0.0ms

sample2.8s

Algorithm
intervals
Results
1.0s24277×body80nan
273.0ms5613×body80valid
244.0ms860×body640valid
229.0ms398×body1280valid
117.0ms697×body320valid
47.0ms466×body160valid