Details

Time bar (total: 8.0s)

sample33.0ms

Algorithm
intervals
Results
8.0ms257×body80valid
6.0ms266×body80nan

simplify146.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0216
1616
21926
36496
416026
527206
636676
743876
847116
949566
1050016

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (* (+ y 0.5) (log y)))
0.1b
(+ (- x (* (+ y 0.5) (log y))) y)
0.1b
(* (+ y 0.5) (log y))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
13×*-un-lft-identity
12×log-prod
11×add-sqr-sqrt
10×add-log-exp
9×add-cube-cbrt
6×pow1 distribute-rgt-in distribute-lft-in associate--r+
5×add-exp-log add-cbrt-cube
4×associate-*r* associate-*l*
2×sub-neg associate-+l+ flip3-+ diff-log associate-*l/ sum-log flip-+ distribute-lft-out
1×+-commutative associate-+l- flip3-- pow-prod-down prod-exp log-pow *-commutative flip-- cbrt-unprod unswap-sqr
Counts
3 → 62
Calls
3 calls:
6.0ms
(- x (* (+ y 0.5) (log y)))
20.0ms
(+ (- x (* (+ y 0.5) (log y))) y)
25.0ms
(* (+ y 0.5) (log y))

series330.0ms

Counts
3 → 9
Calls
3 calls:
39.0ms
(- x (* (+ y 0.5) (log y)))
51.0ms
(+ (- x (* (+ y 0.5) (log y))) y)
240.0ms
(* (+ y 0.5) (log y))

simplify38.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0364458
11327419
25002408

prune180.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ y 0.5) (* 2 (log (cbrt y))))
0.3b
(+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (log (cbrt y)) (+ y 0.5)))
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite76.0ms

Algorithm
rewrite-expression-head
Rules
49×distribute-rgt-in distribute-lft-in
48×log-prod
30×cbrt-prod
25×*-un-lft-identity
24×associate-+l+
23×add-sqr-sqrt add-cube-cbrt
9×pow1 add-exp-log add-cbrt-cube
6×flip3-+ associate-*l/ flip-+ add-log-exp
4×associate-*r/ associate-*l* frac-add
3×pow-prod-down prod-exp cbrt-unprod
2×associate-+r+ pow1/3
1×+-commutative associate-*r* sum-log *-commutative distribute-lft-out
Counts
4 → 108
Calls
4 calls:
38.0ms
(* (+ y 0.5) (* 2 (log (cbrt y))))
31.0ms
(+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (log (cbrt y)) (+ y 0.5)))
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series1.8s

Counts
4 → 12
Calls
4 calls:
459.0ms
(* (+ y 0.5) (* 2 (log (cbrt y))))
980.0ms
(+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (log (cbrt y)) (+ y 0.5)))
193.0ms
(cbrt y)
179.0ms
(cbrt y)

simplify73.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
06401101
12507971
25003939

prune412.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (log (cbrt y)) (+ y 0.5))
0.3b
(+ (* (log (pow y 1/3)) (+ 1.0 (* 2 y))) (* (log (cbrt y)) (+ y 0.5)))
0.6b
(cbrt y)
4.9b
(pow y 1/3)

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt *-un-lft-identity
10×associate-*r/
9×add-cube-cbrt
8×pow1
7×add-exp-log
6×flip3-+ add-cbrt-cube flip-+ add-log-exp
5×associate-*l*
4×associate-*r* frac-add
3×cbrt-prod distribute-rgt-in unpow-prod-down pow-unpow distribute-lft-in
2×associate-+l+ associate-+r+ pow1/3 log-pow
1×+-commutative pow-to-exp pow-pow unpow1/3 pow-prod-down pow-exp prod-exp sum-log *-commutative cbrt-unprod distribute-lft-out unswap-sqr sqr-pow
Counts
4 → 73
Calls
4 calls:
24.0ms
(* (log (cbrt y)) (+ y 0.5))
15.0ms
(+ (* (log (pow y 1/3)) (+ 1.0 (* 2 y))) (* (log (cbrt y)) (+ y 0.5)))
1.0ms
(cbrt y)
3.0ms
(pow y 1/3)

series1.9s

Counts
4 → 12
Calls
4 calls:
430.0ms
(* (log (cbrt y)) (+ y 0.5))
1.1s
(+ (* (log (pow y 1/3)) (+ 1.0 (* 2 y))) (* (log (cbrt y)) (+ y 0.5)))
198.0ms
(cbrt y)
182.0ms
(pow y 1/3)

simplify80.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 2 (74.0ms)

IterNodesCost
0535640
12761549
25002531

prune321.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (log (cbrt y)) (sqrt (+ y 0.5)))
0.5b
(* (* (log (cbrt y)) (sqrt (+ y 0.5))) (sqrt (+ y 0.5)))
0.6b
(cbrt y)
4.9b
(pow y 1/3)

rewrite84.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt *-un-lft-identity
14×sqrt-div associate-*r*
13×pow1
12×add-exp-log add-cube-cbrt
11×add-cbrt-cube
10×associate-*r/
9×sqrt-prod
7×flip3-+ flip-+
6×associate-*l*
4×frac-times pow-prod-down prod-exp cbrt-unprod add-log-exp
3×cbrt-prod unpow-prod-down pow-unpow
2×pow1/3 associate-*l/ log-pow *-commutative distribute-lft-out unswap-sqr
1×pow-to-exp pow-pow unpow1/3 pow-exp sqr-pow
Counts
4 → 86
Calls
4 calls:
24.0ms
(* (log (cbrt y)) (sqrt (+ y 0.5)))
54.0ms
(* (* (log (cbrt y)) (sqrt (+ y 0.5))) (sqrt (+ y 0.5)))
1.0ms
(cbrt y)
3.0ms
(pow y 1/3)

series882.0ms

Counts
4 → 12
Calls
4 calls:
93.0ms
(* (log (cbrt y)) (sqrt (+ y 0.5)))
426.0ms
(* (* (log (cbrt y)) (sqrt (+ y 0.5))) (sqrt (+ y 0.5)))
185.0ms
(cbrt y)
179.0ms
(pow y 1/3)

simplify53.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0426667
11995561
25001549

prune330.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

regimes142.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0136
1136

end0.0ms

sample913.0ms

Algorithm
intervals
Results
249.0ms8037×body80valid
206.0ms8391×body80nan
0.0ms1×body320valid
0.0ms1×body160valid