Details

Time bar (total: 4.4s)

sample15.0ms

Algorithm
intervals
Results
6.0ms256×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: 6.5b

localize6.0ms

Local error

Found 1 expressions with local error:

6.5b
(/ (+ 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)))

series53.0ms

Counts
1 → 3
Calls
1 calls:
52.0ms
(/ (+ x y) (- 1.0 (/ y z)))

simplify50.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0203422
1616404
21814404
35001404

prune114.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 5.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ 1 (- 1.0 (/ y z)))
6.3b
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

rewrite55.0ms

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)))
39.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

series95.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(/ 1 (- 1.0 (/ y z)))
49.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

simplify43.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0343664
11615588
25001538

prune178.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 4.9b

localize17.0ms

Local error

Found 4 expressions with local error:

2.1b
(/ (+ x y) (* (cbrt (- 1.0 (/ y z))) (cbrt (- 1.0 (/ y z)))))
6.7b
(cbrt (- 1.0 (/ y z)))
6.7b
(cbrt (- 1.0 (/ y z)))
6.7b
(cbrt (- 1.0 (/ y z)))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
19×*-un-lft-identity
18×cbrt-prod cbrt-div
9×add-exp-log add-cube-cbrt flip3-- flip--
8×associate-/r/
7×times-frac add-cbrt-cube
6×difference-of-squares
4×pow1 frac-times associate-/l* add-log-exp
3×pow1/3 distribute-lft-out--
2×cbrt-undiv associate-*r/ div-exp associate-*l/ associate-/l/ distribute-lft-out
1×frac-2neg flip3-+ prod-exp clear-num associate-/r* cbrt-unprod flip-+ div-inv
Counts
4 → 81
Calls
4 calls:
21.0ms
(/ (+ 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)))
6.0ms
(cbrt (- 1.0 (/ y z)))

series1.1s

Counts
4 → 12
Calls
4 calls:
215.0ms
(/ (+ x y) (* (cbrt (- 1.0 (/ y z))) (cbrt (- 1.0 (/ y z)))))
294.0ms
(cbrt (- 1.0 (/ y z)))
290.0ms
(cbrt (- 1.0 (/ y z)))
291.0ms
(cbrt (- 1.0 (/ y z)))

simplify63.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (54.0ms)

IterNodesCost
0334816
1838755
22589739
35001715

prune296.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 4.9b

localize15.0ms

Local error

Found 4 expressions with local error:

6.3b
(* (+ x y) (* (* (cbrt (/ 1 (- 1.0 (/ y z)))) (cbrt (/ 1 (- 1.0 (/ y z))))) (cbrt (/ 1 (- 1.0 (/ y z))))))
6.6b
(cbrt (/ 1 (- 1.0 (/ y z))))
6.6b
(cbrt (/ 1 (- 1.0 (/ y z))))
6.6b
(cbrt (/ 1 (- 1.0 (/ y z))))

rewrite271.0ms

Algorithm
rewrite-expression-head
Rules
80×add-sqr-sqrt
72×cbrt-prod
63×times-frac
55×*-un-lft-identity
39×cbrt-div
35×add-cube-cbrt
29×frac-times
18×difference-of-squares
17×associate-*l/
16×associate-*r/
13×pow1 add-exp-log
9×add-cbrt-cube distribute-lft-out--
8×flip3-+ flip-+
6×pow-prod-down prod-exp associate-/r/ cbrt-unprod
4×associate-*l* add-log-exp
3×flip3-- pow1/3 flip-- div-inv
1×associate-*r* *-commutative distribute-lft-out
Counts
4 → 144
Calls
4 calls:
243.0ms
(* (+ x y) (* (* (cbrt (/ 1 (- 1.0 (/ y z)))) (cbrt (/ 1 (- 1.0 (/ y z))))) (cbrt (/ 1 (- 1.0 (/ y z))))))
7.0ms
(cbrt (/ 1 (- 1.0 (/ y z))))
7.0ms
(cbrt (/ 1 (- 1.0 (/ y z))))
7.0ms
(cbrt (/ 1 (- 1.0 (/ y z))))

series984.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(* (+ x y) (* (* (cbrt (/ 1 (- 1.0 (/ y z)))) (cbrt (/ 1 (- 1.0 (/ y z))))) (cbrt (/ 1 (- 1.0 (/ y z))))))
247.0ms
(cbrt (/ 1 (- 1.0 (/ y z))))
248.0ms
(cbrt (/ 1 (- 1.0 (/ y z))))
440.0ms
(cbrt (/ 1 (- 1.0 (/ y z))))

simplify62.0ms

Algorithm
egg-herbie
Counts
156 → 156
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
04741926
114931760
250011594

prune368.0ms

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 4.9b

regimes157.0ms

Accuracy

74.5% (0.5b remaining)

Error of 6.3b against oracle of 5.8b and baseline of 7.7b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03231
13231

end0.0ms

sample357.0ms

Algorithm
intervals
Results
186.0ms7998×body80valid
0.0ms1×body1280valid
0.0ms1×body640valid