Details

Time bar (total: 3.2s)

sample15.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify6.0ms

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: 7.4b

localize6.0ms

Local error

Found 1 expressions with local error:

7.4b
(/ (+ x y) (- 1.0 (/ y z)))

rewrite38.0ms

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:
36.0ms
(/ (+ x y) (- 1.0 (/ y z)))

series45.0ms

Counts
1 → 3
Calls
1 calls:
45.0ms
(/ (+ x y) (- 1.0 (/ y z)))

simplify52.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0203422
1616404
21814404
35001404

prune105.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 4.3b

localize7.0ms

Local error

Found 2 expressions with local error:

0.4b
(/ 1 (- 1.0 (/ y z)))
7.0b
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

rewrite92.0ms

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:
23.0ms
(/ 1 (- 1.0 (/ y z)))
65.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

series88.0ms

Counts
2 → 6
Calls
2 calls:
44.0ms
(/ 1 (- 1.0 (/ y z)))
44.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

simplify51.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0343664
11615588
25001538

prune176.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 4.3b

localize7.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
7.4b
(/ (- 1.0 (/ y z)) (+ x y))

rewrite102.0ms

Algorithm
rewrite-expression-head
Rules
231×times-frac
194×add-sqr-sqrt
193×*-un-lft-identity
89×add-cube-cbrt
42×difference-of-squares
34×associate-/r*
31×distribute-lft-out
21×distribute-lft-out--
15×add-exp-log
11×associate-/r/
9×add-cbrt-cube associate-/l*
8×div-exp
6×div-inv
5×flip3-+ flip-+
4×cbrt-undiv
3×pow1
2×rec-exp frac-2neg 1-exp clear-num associate-/l/ add-log-exp
1×flip3-- pow-flip div-sub flip-- inv-pow
Counts
2 → 195
Calls
2 calls:
44.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
39.0ms
(/ (- 1.0 (/ y z)) (+ x y))

series162.0ms

Counts
2 → 6
Calls
2 calls:
125.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
37.0ms
(/ (- 1.0 (/ y z)) (+ x y))

simplify65.0ms

Algorithm
egg-herbie
Counts
201 → 201
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
05882041
126341860
250031696

prune242.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 4.3b

localize10.0ms

Local error

Found 4 expressions with local error:

1.8b
(/ (+ x y) (* (cbrt (- 1.0 (/ y z))) (cbrt (- 1.0 (/ y z)))))
7.6b
(cbrt (- 1.0 (/ y z)))
7.6b
(cbrt (- 1.0 (/ y z)))
7.6b
(cbrt (- 1.0 (/ y z)))

rewrite76.0ms

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:
44.0ms
(/ (+ x y) (* (cbrt (- 1.0 (/ y z))) (cbrt (- 1.0 (/ y z)))))
9.0ms
(cbrt (- 1.0 (/ y z)))
9.0ms
(cbrt (- 1.0 (/ y z)))
12.0ms
(cbrt (- 1.0 (/ y z)))

series968.0ms

Counts
4 → 12
Calls
4 calls:
195.0ms
(/ (+ x y) (* (cbrt (- 1.0 (/ y z))) (cbrt (- 1.0 (/ y z)))))
257.0ms
(cbrt (- 1.0 (/ y z)))
255.0ms
(cbrt (- 1.0 (/ y z)))
260.0ms
(cbrt (- 1.0 (/ y z)))

simplify63.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (54.0ms)

IterNodesCost
0334816
1838755
22589739
35001715

prune244.0ms

Pruning

10 alts after pruning (6 fresh and 4 done)

Merged error: 4.3b

regimes178.0ms

Accuracy

68.9% (0.6b remaining)

Error of 6.1b against oracle of 5.5b and baseline of 7.4b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02929
12929

end0.0ms

sample387.0ms

Algorithm
intervals
Results
180.0ms7995×body80valid
0.0ms2×body1280valid
0.0ms2×body640valid
0.0ms1×body320valid