Details

Time bar (total: 2.9s)

sample15.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0114
1144
2144

prune2.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 5.1b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(- 1.0 (/ y z))
5.1b
(/ (+ x y) (- 1.0 (/ y z)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
79×add-sqr-sqrt
75×*-un-lft-identity
57×times-frac
49×add-cube-cbrt
39×prod-diff
12×difference-of-squares
7×distribute-lft-out
6×associate-/r* distribute-lft-out--
4×add-exp-log add-cbrt-cube div-inv associate-/l* add-log-exp
3×fma-neg
2×pow1 expm1-log1p-u flip3-- associate-/r/ flip-- log1p-expm1-u associate-/l/
1×cbrt-undiv sub-neg frac-2neg flip3-+ diff-log div-exp clear-num flip-+
Counts
2 → 111
Calls
2 calls:
8.0ms
(- 1.0 (/ y z))
11.0ms
(/ (+ x y) (- 1.0 (/ y z)))

series77.0ms

Counts
2 → 6
Calls
2 calls:
18.0ms
(- 1.0 (/ y z))
59.0ms
(/ (+ x y) (- 1.0 (/ y z)))

simplify62.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
04991403
115731048
25002967

prune143.0ms

Filtered
117 candidates to 60 candidates (48.7%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1116117
Fresh000
Picked011
Done000
Total1117118

Merged error: 3.1b

Counts
118 → 7

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- 1.0 (/ y z))
0.5b
(/ 1 (- 1.0 (/ y z)))
4.5b
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
128×add-sqr-sqrt
92×*-un-lft-identity
76×times-frac
66×add-cube-cbrt
39×prod-diff
24×frac-times associate-*r* associate-/r*
22×difference-of-squares
16×add-exp-log
13×flip3-+ flip-+ associate-/l*
12×associate-*r/
11×distribute-lft-out--
10×add-cbrt-cube
6×pow1
5×clear-num div-inv add-log-exp
4×frac-2neg div-exp associate-*l* prod-exp associate-/r/
3×expm1-log1p-u flip3-- fma-neg un-div-inv flip-- log1p-expm1-u unswap-sqr
2×cbrt-undiv rec-exp 1-exp associate-*l/ cbrt-unprod
1×sub-neg pow-flip diff-log pow-prod-down *-commutative distribute-lft-out inv-pow
Counts
3 → 195
Calls
3 calls:
8.0ms
(- 1.0 (/ y z))
8.0ms
(/ 1 (- 1.0 (/ y z)))
22.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

series138.0ms

Counts
3 → 9
Calls
3 calls:
31.0ms
(- 1.0 (/ y z))
47.0ms
(/ 1 (- 1.0 (/ y z)))
60.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

simplify115.0ms

Algorithm
egg-herbie
Counts
204 → 204
Iterations

Useful iterations: 2 (85.0ms)

IterNodesCost
07351967
131591542
250011396

prune235.0ms

Filtered
204 candidates to 102 candidates (50.0%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New2022204
Fresh235
Picked011
Done011
Total2047211

Merged error: 3.1b

Counts
211 → 7

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- 1.0 (/ y z))
0.2b
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
5.1b
(/ (- 1.0 (/ y z)) (+ x y))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
260×times-frac
242×add-sqr-sqrt
240×*-un-lft-identity
127×add-cube-cbrt
46×difference-of-squares
39×prod-diff
38×associate-/r*
32×distribute-lft-out
25×associate-/r/
24×distribute-lft-out--
17×associate-/l*
16×add-exp-log
10×add-cbrt-cube
9×div-inv
8×div-exp
5×flip3-+ flip-+ add-log-exp
4×pow1 cbrt-undiv clear-num associate-/l/
3×expm1-log1p-u flip3-- frac-2neg fma-neg flip-- log1p-expm1-u remove-double-div
2×rec-exp 1-exp
1×sub-neg pow-flip diff-log div-sub inv-pow
Counts
3 → 275
Calls
3 calls:
8.0ms
(- 1.0 (/ y z))
17.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
14.0ms
(/ (- 1.0 (/ y z)) (+ x y))

series204.0ms

Counts
3 → 9
Calls
3 calls:
18.0ms
(- 1.0 (/ y z))
137.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
49.0ms
(/ (- 1.0 (/ y z)) (+ x y))

simplify123.0ms

Algorithm
egg-herbie
Counts
284 → 284
Iterations

Useful iterations: 2 (93.0ms)

IterNodesCost
09003093
137252570
250012330

prune260.0ms

Filtered
284 candidates to 119 candidates (58.1%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New2813284
Fresh314
Picked011
Done022
Total2847291

Merged error: 3.1b

Counts
291 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(- 1.0 (/ y z))
0.0b
(/ 1 (+ x y))
0.2b
(/ 1 (* (- 1.0 (/ y z)) (/ 1 (+ x y))))
5.1b
(* (- 1.0 (/ y z)) (/ 1 (+ x y)))

rewrite82.0ms

Algorithm
rewrite-expression-head
Rules
211×*-un-lft-identity times-frac
207×add-sqr-sqrt
142×add-cube-cbrt
90×associate-*r*
60×associate-/r*
52×add-exp-log
47×associate-/r/
40×frac-times
39×prod-diff
30×associate-*l*
26×associate-/l*
25×distribute-lft-out
23×flip3-- flip--
20×associate-*r/ div-exp add-cbrt-cube
16×prod-exp
15×unswap-sqr
12×difference-of-squares
10×pow1 rec-exp 1-exp clear-num div-inv
8×frac-2neg
6×cbrt-undiv flip3-+ un-div-inv flip-+ distribute-lft-out-- add-log-exp
5×*-commutative
4×expm1-log1p-u associate-*l/ cbrt-unprod log1p-expm1-u
3×pow-flip fma-neg
2×pow-prod-down inv-pow
1×sub-neg diff-log
Counts
4 → 376
Calls
4 calls:
8.0ms
(- 1.0 (/ y z))
5.0ms
(/ 1 (+ x y))
26.0ms
(/ 1 (* (- 1.0 (/ y z)) (/ 1 (+ x y))))
19.0ms
(* (- 1.0 (/ y z)) (/ 1 (+ x y)))

series237.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(- 1.0 (/ y z))
36.0ms
(/ 1 (+ x y))
138.0ms
(/ 1 (* (- 1.0 (/ y z)) (/ 1 (+ x y))))
45.0ms
(* (- 1.0 (/ y z)) (/ 1 (+ x y)))

simplify79.0ms

Algorithm
egg-herbie
Counts
388 → 388
Iterations

Useful iterations: 1 (35.0ms)

IterNodesCost
011613730
150012959

prune431.0ms

Filtered
388 candidates to 196 candidates (49.5%)
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New3871388
Fresh123
Picked011
Done033
Total3887395

Merged error: 3.1b

Counts
395 → 7

regimes127.0ms

Accuracy

74.6% (0.5b remaining)

Error of 6.1b against oracle of 5.6b and baseline of 7.6b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02725
12725

end0.0ms

sample360.0ms

Algorithm
intervals
Results
200.0ms7999×body80valid
0.0ms1×body1280valid