Details

Time bar (total: 2.2s)

sample23.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0114
1144
2144

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 5.5b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(- 1.0 (/ y z))
5.5b
(/ (+ x y) (- 1.0 (/ y z)))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
44×add-sqr-sqrt
40×*-un-lft-identity
30×times-frac
14×add-cube-cbrt
12×difference-of-squares
7×distribute-lft-out
6×associate-/r* distribute-lft-out--
4×add-exp-log add-cbrt-cube associate-/l* add-log-exp
2×pow1 flip3-- associate-/r/ flip-- associate-/l/
1×cbrt-undiv sub-neg frac-2neg flip3-+ diff-log div-exp clear-num flip-+ div-inv
Counts
2 → 65
Calls
2 calls:
6.0ms
(- 1.0 (/ y z))
10.0ms
(/ (+ x y) (- 1.0 (/ y z)))

series14.0ms

Counts
2 → 6
Calls
2 calls:
3.0ms
(- 1.0 (/ y z))
11.0ms
(/ (+ x y) (- 1.0 (/ y z)))

simplify52.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0220502
1647479
21838479
35001479

prune103.0ms

Filtered
47 candidates to 71 candidates (-51.1%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New63871
Fresh000
Picked011
Done000
Total63972

Merged error: 4.0b

Counts
72 → 9

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(- 1.0 (/ y z))
0.7b
(/ 1 (- 1.0 (/ y z)))
4.8b
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
72×add-sqr-sqrt
46×times-frac
44×*-un-lft-identity
25×add-cube-cbrt
24×associate-*r*
16×add-exp-log difference-of-squares
10×add-cbrt-cube
8×distribute-lft-out--
6×pow1 associate-/r*
5×add-log-exp
4×div-exp associate-*l* prod-exp associate-/r/
3×flip3-- flip-- associate-/l* unswap-sqr
2×cbrt-undiv frac-times rec-exp flip3-+ 1-exp associate-*l/ cbrt-unprod flip-+ div-inv
1×sub-neg pow-flip frac-2neg diff-log associate-*r/ pow-prod-down clear-num un-div-inv *-commutative distribute-lft-out inv-pow
Counts
3 → 112
Calls
3 calls:
6.0ms
(- 1.0 (/ y z))
8.0ms
(/ 1 (- 1.0 (/ y z)))
15.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

series20.0ms

Counts
3 → 9
Calls
3 calls:
3.0ms
(- 1.0 (/ y z))
6.0ms
(/ 1 (- 1.0 (/ y z)))
11.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

simplify43.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0360742
11650661
25002611

prune117.0ms

Filtered
66 candidates to 121 candidates (-83.3%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1210121
Fresh077
Picked011
Done011
Total1219130

Merged error: 4.0b

Counts
130 → 9

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (+ x y))
0.6b
(cbrt (+ x y))
2.4b
(/ (cbrt (+ x y)) (- 1.0 (/ y z)))
3.2b
(* (* (cbrt (+ x y)) (cbrt (+ x y))) (/ (cbrt (+ x y)) (- 1.0 (/ y z))))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
128×add-sqr-sqrt
108×*-un-lft-identity
101×times-frac
61×cbrt-prod
48×add-cube-cbrt associate-*r*
30×cbrt-div difference-of-squares
18×add-exp-log
16×frac-times
15×flip3-+ flip-+ distribute-lft-out distribute-lft-out--
12×associate-*l/
11×add-cbrt-cube
9×pow1
7×associate-/l*
6×prod-exp associate-/r* cbrt-unprod
5×associate-*r/
4×associate-/r/ add-log-exp
3×cbrt-undiv div-exp pow-prod-down unswap-sqr
2×flip3-- pow1/3 flip-- div-inv associate-/l/
1×frac-2neg associate-*l* clear-num *-commutative
Counts
4 → 186
Calls
4 calls:
3.0ms
(cbrt (+ x y))
3.0ms
(cbrt (+ x y))
11.0ms
(/ (cbrt (+ x y)) (- 1.0 (/ y z)))
25.0ms
(* (* (cbrt (+ x y)) (cbrt (+ x y))) (/ (cbrt (+ x y)) (- 1.0 (/ y z))))

series149.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(cbrt (+ x y))
33.0ms
(cbrt (+ x y))
72.0ms
(/ (cbrt (+ x y)) (- 1.0 (/ y z)))
14.0ms
(* (* (cbrt (+ x y)) (cbrt (+ x y))) (/ (cbrt (+ x y)) (- 1.0 (/ y z))))

simplify77.0ms

Algorithm
egg-herbie
Counts
198 → 198
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
06682210
129512086
250012043

prune224.0ms

Filtered
141 candidates to 198 candidates (-40.4%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New1980198
Fresh066
Picked011
Done022
Total1989207

Merged error: 4.0b

Counts
207 → 9

localize10.0ms

Local error

Found 3 expressions with local error:

0.2b
(* (/ y z) (/ y z))
4.9b
(/ (+ x y) (- (* 1.0 1.0) (* (/ y z) (/ y z))))
11.2b
(* (/ (+ x y) (- (* 1.0 1.0) (* (/ y z) (/ y z)))) (+ 1.0 (/ y z)))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
73×times-frac
71×*-un-lft-identity
68×add-sqr-sqrt
51×add-cube-cbrt
35×associate-*l*
22×add-exp-log add-cbrt-cube
17×associate-*r*
13×swap-sqr
12×pow1
10×distribute-lft-out
9×difference-of-squares
6×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv unswap-sqr
4×associate-/r* associate-/r/ associate-/l*
3×frac-times flip3-+ associate-*r/ flip-+ add-log-exp
2×flip3-- pow-prod-down associate-*l/ *-commutative flip-- associate-/l/
1×pow2 distribute-rgt-in frac-2neg distribute-lft-in pow-plus clear-num pow-sqr pow-prod-up
Counts
3 → 155
Calls
3 calls:
12.0ms
(* (/ y z) (/ y z))
7.0ms
(/ (+ x y) (- (* 1.0 1.0) (* (/ y z) (/ y z))))
15.0ms
(* (/ (+ x y) (- (* 1.0 1.0) (* (/ y z) (/ y z)))) (+ 1.0 (/ y z)))

series54.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(* (/ y z) (/ y z))
19.0ms
(/ (+ x y) (- (* 1.0 1.0) (* (/ y z) (/ y z))))
29.0ms
(* (/ (+ x y) (- (* 1.0 1.0) (* (/ y z) (/ y z)))) (+ 1.0 (/ y z)))

simplify113.0ms

Algorithm
egg-herbie
Counts
164 → 164
Iterations

Useful iterations: 2 (97.0ms)

IterNodesCost
08271474
145041332
250031328

prune159.0ms

Filtered
112 candidates to 164 candidates (-46.4%)
Pruning

9 alts after pruning (5 fresh and 4 done)

PrunedKeptTotal
New1640164
Fresh055
Picked011
Done033
Total1649173

Merged error: 4.0b

Counts
173 → 9

regimes324.0ms

Accuracy

74.7% (0.5b remaining)

Error of 5.9b against oracle of 5.4b and baseline of 7.3b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03226
13226

end0.0ms

sample493.0ms

Algorithm
intervals
Results
248.0ms7999×body80valid
0.0ms1×body1280valid

Profiling

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