Details

Time bar (total: 4.2s)

sample21.0ms

Algorithm
intervals
Results
12.0ms256×body80valid

simplify7.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0114
1144
2144

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.9b

localize6.0ms

Local error

Found 1 expressions with local error:

6.9b
(/ (+ x y) (- 1.0 (/ y z)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
37×*-un-lft-identity
29×times-frac
13×add-cube-cbrt
10×difference-of-squares
7×distribute-lft-out
6×associate-/r*
5×distribute-lft-out--
4×associate-/l*
3×add-exp-log add-cbrt-cube
2×associate-/r/ associate-/l/
1×pow1 cbrt-undiv flip3-- frac-2neg flip3-+ div-exp clear-num flip-- flip-+ div-inv add-log-exp
Counts
1 → 50
Calls
1 calls:
18.0ms
(/ (+ x y) (- 1.0 (/ y z)))

series56.0ms

Counts
1 → 3
Calls
1 calls:
56.0ms
(/ (+ x y) (- 1.0 (/ y z)))

simplify53.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0203422
1616404
21814404
35001404

prune116.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 4.7b

localize7.0ms

Local error

Found 2 expressions with local error:

0.4b
(/ 1 (- 1.0 (/ y z)))
6.6b
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
66×add-sqr-sqrt
45×times-frac
41×*-un-lft-identity
24×add-cube-cbrt associate-*r*
15×add-exp-log
14×difference-of-squares
9×add-cbrt-cube
7×distribute-lft-out--
6×associate-/r*
5×pow1
4×div-exp associate-*l* prod-exp associate-/r/
3×associate-/l* unswap-sqr
2×cbrt-undiv frac-times rec-exp flip3-- flip3-+ 1-exp associate-*l/ flip-- cbrt-unprod flip-+ div-inv add-log-exp
1×pow-flip frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv *-commutative distribute-lft-out inv-pow
Counts
2 → 97
Calls
2 calls:
12.0ms
(/ 1 (- 1.0 (/ y z)))
41.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

series92.0ms

Counts
2 → 6
Calls
2 calls:
41.0ms
(/ 1 (- 1.0 (/ y z)))
51.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

simplify41.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0343664
11615588
25001538

prune175.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 4.7b

localize14.0ms

Local error

Found 4 expressions with local error:

1.9b
(/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt (- 1.0 (/ y z))) (cbrt (- 1.0 (/ y z)))))
7.2b
(cbrt (- 1.0 (/ y z)))
7.2b
(cbrt (- 1.0 (/ y z)))
7.2b
(cbrt (- 1.0 (/ y z)))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
30×cbrt-div
22×add-sqr-sqrt
18×cbrt-prod
16×add-exp-log
13×*-un-lft-identity
9×flip3-- flip--
8×frac-times associate-/r/ add-cbrt-cube associate-/l/
7×add-cube-cbrt
6×flip3-+ flip-+ difference-of-squares
4×pow1 cbrt-undiv times-frac associate-*r/ div-exp associate-*l/ prod-exp cbrt-unprod add-log-exp
3×pow1/3 distribute-lft-out--
1×frac-2neg clear-num associate-/r* div-inv associate-/l*
Counts
4 → 85
Calls
4 calls:
23.0ms
(/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt (- 1.0 (/ y z))) (cbrt (- 1.0 (/ y z)))))
5.0ms
(cbrt (- 1.0 (/ y z)))
5.0ms
(cbrt (- 1.0 (/ y z)))
5.0ms
(cbrt (- 1.0 (/ y z)))

series1.3s

Counts
4 → 12
Calls
4 calls:
419.0ms
(/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt (- 1.0 (/ y z))) (cbrt (- 1.0 (/ y z)))))
311.0ms
(cbrt (- 1.0 (/ y z)))
290.0ms
(cbrt (- 1.0 (/ y z)))
297.0ms
(cbrt (- 1.0 (/ y z)))

simplify104.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
04741046
11287922
24932874
35001874

prune540.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 4.7b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* 1.0 1.0) (* (/ y z) (/ y z)))
0.2b
(* (/ y z) (/ y z))
6.1b
(/ (+ x y) (- (* 1.0 1.0) (* (/ y z) (/ y z))))
13.0b
(* (/ (+ x y) (- (* 1.0 1.0) (* (/ y z) (/ y z)))) (+ 1.0 (/ y z)))

rewrite79.0ms

Algorithm
rewrite-expression-head
Rules
73×times-frac
72×*-un-lft-identity
69×add-sqr-sqrt
52×add-cube-cbrt
35×associate-*l*
23×add-exp-log add-cbrt-cube
17×associate-*r*
13×pow1 swap-sqr
10×distribute-lft-out difference-of-squares
6×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv add-log-exp unswap-sqr
4×associate-/r* associate-/r/ associate-/l*
3×frac-times flip3-- flip3-+ associate-*r/ flip-- flip-+
2×pow-prod-down associate-*l/ *-commutative associate-/l/
1×pow2 distribute-rgt-in sub-neg frac-2neg distribute-lft-in pow-plus diff-log clear-num pow-sqr pow-prod-up
Counts
4 → 168
Calls
4 calls:
2.0ms
(- (* 1.0 1.0) (* (/ y z) (/ y z)))
13.0ms
(* (/ y z) (/ y z))
10.0ms
(/ (+ x y) (- (* 1.0 1.0) (* (/ y z) (/ y z))))
46.0ms
(* (/ (+ x y) (- (* 1.0 1.0) (* (/ y z) (/ y z)))) (+ 1.0 (/ y z)))

series209.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(- (* 1.0 1.0) (* (/ y z) (/ y z)))
24.0ms
(* (/ y z) (/ y z))
61.0ms
(/ (+ x y) (- (* 1.0 1.0) (* (/ y z) (/ y z))))
87.0ms
(* (/ (+ x y) (- (* 1.0 1.0) (* (/ y z) (/ y z)))) (+ 1.0 (/ y z)))

simplify115.0ms

Algorithm
egg-herbie
Counts
180 → 180
Iterations

Useful iterations: 2 (100.0ms)

IterNodesCost
08371596
145481440
250021436

prune361.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 4.7b

regimes150.0ms

Accuracy

74.6% (0.5b remaining)

Error of 6.6b against oracle of 6.1b and baseline of 8.1b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03628
13628

end0.0ms

sample552.0ms

Algorithm
intervals
Results
387.0ms7999×body80valid
0.0ms1×body1280valid