Details

Time bar (total: 6.5s)

sample15.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify5.0ms

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: 8.6b

localize6.0ms

Local error

Found 1 expressions with local error:

8.6b
(/ (+ x y) (- 1.0 (/ y z)))

rewrite37.0ms

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:
35.0ms
(/ (+ x y) (- 1.0 (/ y z)))

series52.0ms

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

simplify51.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0203422
1616404
21814404
35001404

prune116.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 5.9b

localize10.0ms

Local error

Found 4 expressions with local error:

1.8b
(/ (+ x y) (* (cbrt (- 1.0 (/ y z))) (cbrt (- 1.0 (/ y z)))))
8.8b
(cbrt (- 1.0 (/ y z)))
8.8b
(cbrt (- 1.0 (/ y z)))
8.8b
(cbrt (- 1.0 (/ y z)))

rewrite72.0ms

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:
41.0ms
(/ (+ x y) (* (cbrt (- 1.0 (/ y z))) (cbrt (- 1.0 (/ y z)))))
8.0ms
(cbrt (- 1.0 (/ y z)))
8.0ms
(cbrt (- 1.0 (/ y z)))
12.0ms
(cbrt (- 1.0 (/ y z)))

series1.1s

Counts
4 → 12
Calls
4 calls:
229.0ms
(/ (+ x y) (* (cbrt (- 1.0 (/ y z))) (cbrt (- 1.0 (/ y z)))))
291.0ms
(cbrt (- 1.0 (/ y z)))
294.0ms
(cbrt (- 1.0 (/ y z)))
331.0ms
(cbrt (- 1.0 (/ y z)))

simplify65.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (57.0ms)

IterNodesCost
0334816
1838755
22589739
35001715

prune275.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 5.9b

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (/ (+ x y) (cbrt (- 1.0 (/ y z)))) (cbrt (- 1.0 (/ y z))))
8.8b
(cbrt (- 1.0 (/ y z)))
8.8b
(cbrt (- 1.0 (/ y z)))
8.8b
(cbrt (- 1.0 (/ y z)))

rewrite153.0ms

Algorithm
rewrite-expression-head
Rules
824×times-frac
703×add-sqr-sqrt
625×*-un-lft-identity
516×cbrt-prod
273×add-cube-cbrt
172×difference-of-squares
90×distribute-lft-out
86×distribute-lft-out--
42×associate-/l*
28×cbrt-div
22×associate-/r/
14×flip3-- flip--
11×div-inv
9×add-exp-log associate-/r*
6×add-cbrt-cube
4×pow1 add-log-exp
3×cbrt-undiv pow1/3 div-exp
1×frac-2neg clear-num associate-/l/
Counts
4 → 494
Calls
4 calls:
75.0ms
(/ (/ (+ x y) (cbrt (- 1.0 (/ y z)))) (cbrt (- 1.0 (/ y z))))
9.0ms
(cbrt (- 1.0 (/ y z)))
12.0ms
(cbrt (- 1.0 (/ y z)))
8.0ms
(cbrt (- 1.0 (/ y z)))

series1.4s

Counts
4 → 12
Calls
4 calls:
236.0ms
(/ (/ (+ x y) (cbrt (- 1.0 (/ y z)))) (cbrt (- 1.0 (/ y z))))
296.0ms
(cbrt (- 1.0 (/ y z)))
536.0ms
(cbrt (- 1.0 (/ y z)))
299.0ms
(cbrt (- 1.0 (/ y z)))

simplify139.0ms

Algorithm
egg-herbie
Counts
506 → 506
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
012479914
144669820
250019469

prune886.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 5.9b

localize14.0ms

Local error

Found 4 expressions with local error:

8.8b
(cbrt (- 1.0 (/ y z)))
8.8b
(cbrt (- 1.0 (/ y z)))
8.8b
(cbrt (- 1.0 (/ y z)))
8.8b
(cbrt (- 1.0 (/ y z)))

rewrite39.0ms

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)))
8.0ms
(cbrt (- 1.0 (/ y z)))
13.0ms
(cbrt (- 1.0 (/ y z)))

series1.2s

Counts
4 → 12
Calls
4 calls:
286.0ms
(cbrt (- 1.0 (/ y z)))
294.0ms
(cbrt (- 1.0 (/ y z)))
289.0ms
(cbrt (- 1.0 (/ y z)))
294.0ms
(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

prune264.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 5.9b

regimes144.0ms

Accuracy

47.2% (1.0b remaining)

Error of 6.6b against oracle of 5.6b and baseline of 7.6b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02725
12725

end0.0ms

sample397.0ms

Algorithm
intervals
Results
182.0ms7999×body80valid
0.0ms1×body1280valid