Details

Time bar (total: 4.7s)

sample15.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0114
1144
2144

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.8b

localize9.0ms

Local error

Found 1 expressions with local error:

7.8b
(/ (+ x y) (- 1.0 (/ y z)))

rewrite34.0ms

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:
32.0ms
(/ (+ x y) (- 1.0 (/ y z)))

series48.0ms

Counts
1 → 3
Calls
1 calls:
48.0ms
(/ (+ x y) (- 1.0 (/ y z)))

simplify48.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0203422
1616404
21814404
35001404

prune105.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 6.4b

localize7.0ms

Local error

Found 2 expressions with local error:

0.7b
(/ 1 (- 1.0 (/ y z)))
7.1b
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

rewrite85.0ms

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:
20.0ms
(/ 1 (- 1.0 (/ y z)))
61.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

series90.0ms

Counts
2 → 6
Calls
2 calls:
41.0ms
(/ 1 (- 1.0 (/ y z)))
49.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

simplify47.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0343664
11615588
25001538

prune170.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 6.4b

localize11.0ms

Local error

Found 4 expressions with local error:

7.1b
(* (+ x y) (/ (/ 1 (* (cbrt (- 1.0 (/ y z))) (cbrt (- 1.0 (/ y z))))) (cbrt (- 1.0 (/ y z)))))
8.1b
(cbrt (- 1.0 (/ y z)))
8.1b
(cbrt (- 1.0 (/ y z)))
8.1b
(cbrt (- 1.0 (/ y z)))

rewrite267.0ms

Algorithm
rewrite-expression-head
Rules
190×times-frac
165×add-sqr-sqrt
141×associate-*r*
116×cbrt-div
111×cbrt-prod
97×*-un-lft-identity
74×associate-/r/
58×flip3-- flip--
57×add-cube-cbrt
38×frac-times
36×difference-of-squares
32×add-exp-log
20×associate-*l/
19×associate-*r/
18×distribute-lft-out--
13×add-cbrt-cube
11×div-exp prod-exp
10×div-inv
7×unswap-sqr
6×pow1
5×cbrt-undiv cbrt-unprod
4×associate-*l* add-log-exp
3×pow1/3
2×rec-exp flip3-+ 1-exp flip-+
1×pow-prod-down *-commutative distribute-lft-out
Counts
4 → 226
Calls
4 calls:
221.0ms
(* (+ x y) (/ (/ 1 (* (cbrt (- 1.0 (/ y z))) (cbrt (- 1.0 (/ y z))))) (cbrt (- 1.0 (/ y z)))))
11.0ms
(cbrt (- 1.0 (/ y z)))
8.0ms
(cbrt (- 1.0 (/ y z)))
8.0ms
(cbrt (- 1.0 (/ y z)))

series873.0ms

Counts
4 → 12
Calls
4 calls:
51.0ms
(* (+ x y) (/ (/ 1 (* (cbrt (- 1.0 (/ y z))) (cbrt (- 1.0 (/ y z))))) (cbrt (- 1.0 (/ y z)))))
272.0ms
(cbrt (- 1.0 (/ y z)))
276.0ms
(cbrt (- 1.0 (/ y z)))
275.0ms
(cbrt (- 1.0 (/ y z)))

simplify52.0ms

Algorithm
egg-herbie
Counts
238 → 238
Iterations

Useful iterations: 1 (24.0ms)

IterNodesCost
011393403
150023073

prune731.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 6.4b

localize16.0ms

Local error

Found 4 expressions with local error:

8.1b
(cbrt (- 1.0 (/ y z)))
8.1b
(cbrt (- 1.0 (/ y z)))
8.1b
(cbrt (- 1.0 (/ y z)))
8.1b
(cbrt (- 1.0 (/ y z)))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
24×cbrt-prod
16×*-un-lft-identity
8×add-cube-cbrt cbrt-div difference-of-squares
4×pow1 add-exp-log flip3-- times-frac pow1/3 add-cbrt-cube flip-- distribute-lft-out-- add-log-exp
Counts
4 → 64
Calls
4 calls:
8.0ms
(cbrt (- 1.0 (/ y z)))
8.0ms
(cbrt (- 1.0 (/ y z)))
11.0ms
(cbrt (- 1.0 (/ y z)))
8.0ms
(cbrt (- 1.0 (/ y z)))

series1.1s

Counts
4 → 12
Calls
4 calls:
269.0ms
(cbrt (- 1.0 (/ y z)))
270.0ms
(cbrt (- 1.0 (/ y z)))
272.0ms
(cbrt (- 1.0 (/ y z)))
279.0ms
(cbrt (- 1.0 (/ y z)))

simplify74.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 3 (23.0ms)

IterNodesCost
0136528
1295500
2890480
33224452
45002452

prune299.0ms

Pruning

10 alts after pruning (6 fresh and 4 done)

Merged error: 6.4b

regimes157.0ms

Accuracy

0% (1.9b remaining)

Error of 7.7b against oracle of 5.8b and baseline of 7.7b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
094
194

end0.0ms

sample389.0ms

Algorithm
intervals
Results
173.0ms8000×body80valid