Details

Time bar (total: 7.4s)

sample31.0ms

Algorithm
intervals
Results
9.0ms257×body80valid
7.0ms275×body80nan

simplify142.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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

localize13.0ms

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))

rewrite17.0ms

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:
3.0ms
(- x (* (+ y 0.5) (log y)))
5.0ms
(+ (- x (* (+ y 0.5) (log y))) y)
6.0ms
(* (+ y 0.5) (log y))

series327.0ms

Counts
3 → 9
Calls
3 calls:
41.0ms
(- x (* (+ y 0.5) (log y)))
42.0ms
(+ (- x (* (+ y 0.5) (log y))) y)
244.0ms
(* (+ y 0.5) (log y))

simplify39.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0364458
11327419
25002408

prune173.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
18×log-prod
15×add-sqr-sqrt *-un-lft-identity
12×associate--l+
11×add-cube-cbrt
10×add-log-exp
9×distribute-rgt-in distribute-lft-in
8×associate--r+
6×pow1
5×add-exp-log add-cbrt-cube
4×diff-log associate-*r* associate-*l*
3×sub-neg
2×flip3-- associate-*l/ flip--
1×flip3-+ pow-prod-down prod-exp log-pow *-commutative cbrt-unprod flip-+ distribute-lft-out distribute-lft-out-- associate--r- difference-of-squares unswap-sqr
Counts
3 → 70
Calls
3 calls:
8.0ms
(- x (- (* (+ y 0.5) (log y)) y))
10.0ms
(- (* (+ y 0.5) (log y)) y)
6.0ms
(* (+ y 0.5) (log y))

series713.0ms

Counts
3 → 9
Calls
3 calls:
41.0ms
(- x (- (* (+ y 0.5) (log y)) y))
428.0ms
(- (* (+ y 0.5) (log y)) y)
243.0ms
(* (+ y 0.5) (log y))

simplify38.0ms

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0355508
11267468
25001450

prune192.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
26×distribute-rgt-in distribute-lft-in
24×associate-+l+ log-prod
18×cbrt-prod add-sqr-sqrt *-un-lft-identity
16×add-cube-cbrt
7×pow1
6×add-exp-log flip3-+ associate-*r/ add-cbrt-cube flip-+ add-log-exp
5×associate-*l*
4×associate-*r* associate-*l/ frac-add
3×pow1/3
2×associate-+r+ log-pow
1×+-commutative pow-prod-down prod-exp sum-log *-commutative cbrt-unprod distribute-lft-out unswap-sqr
Counts
4 → 88
Calls
4 calls:
6.0ms
(* (log (cbrt y)) (+ y 0.5))
13.0ms
(+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (log (cbrt y)) (+ y 0.5)))
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series1.6s

Counts
4 → 12
Calls
4 calls:
444.0ms
(* (log (cbrt y)) (+ y 0.5))
783.0ms
(+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (log (cbrt y)) (+ y 0.5)))
177.0ms
(cbrt y)
183.0ms
(cbrt y)

simplify79.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (64.0ms)

IterNodesCost
0526799
12323695
25002673

prune371.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

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

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
49×distribute-rgt-in distribute-lft-in
48×log-prod
27×cbrt-prod
26×*-un-lft-identity
24×add-sqr-sqrt add-cube-cbrt associate-+l+
10×pow1 add-exp-log
9×add-cbrt-cube
6×flip3-+ associate-*l/ flip-+ add-log-exp
4×associate-*r/ associate-*l* frac-add
3×unpow-prod-down pow-unpow pow-prod-down prod-exp cbrt-unprod
2×associate-+r+
1×+-commutative pow-to-exp pow-pow unpow1/3 pow1/3 associate-*r* pow-exp sum-log *-commutative distribute-lft-out sqr-pow
Counts
4 → 115
Calls
4 calls:
9.0ms
(* (+ y 0.5) (* 2 (log (cbrt y))))
16.0ms
(+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (log (* 1 (pow y 1/3))) (+ y 0.5)))
1.0ms
(cbrt y)
2.0ms
(pow y 1/3)

series2.1s

Counts
4 → 12
Calls
4 calls:
461.0ms
(* (+ y 0.5) (* 2 (log (cbrt y))))
1.3s
(+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (log (* 1 (pow y 1/3))) (+ y 0.5)))
182.0ms
(cbrt y)
181.0ms
(pow y 1/3)

simplify98.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (81.0ms)

IterNodesCost
07271168
13253985
25001932

prune432.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes71.0ms

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
0126
1126

end0.0ms

sample867.0ms

Algorithm
intervals
Results
287.0ms8033×body80valid
231.0ms8130×body80nan