Details

Time bar (total: 2.5s)

sample22.0ms

Algorithm
intervals
Results
8.0ms273×body80valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
01219
11219

prune11.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 2

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) (- t z))
1.3b
(* x (/ (- y z) (- t z)))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
75×add-sqr-sqrt
70×*-un-lft-identity
51×times-frac
31×associate-*r*
26×add-cube-cbrt
22×distribute-lft-out-- difference-of-squares
9×add-exp-log add-cbrt-cube
5×associate-/r* associate-/l*
4×pow1 associate-/r/
3×flip3-- associate-*l* flip--
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ add-log-exp unswap-sqr
1×frac-2neg div-sub associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 102
Calls
2 calls:
8.0ms
(/ (- y z) (- t z))
17.0ms
(* x (/ (- y z) (- t z)))

series24.0ms

Counts
2 → 6
Calls
2 calls:
9.0ms
(/ (- y z) (- t z))
15.0ms
(* x (/ (- y z) (- t z)))

simplify44.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
055781163

prune109.0ms

Filtered
70 candidates to 108 candidates (-54.3%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New1017108
Fresh011
Picked101
Done000
Total1028110

Merged error: 0.0b

Counts
110 → 8

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- t z) (- y z))
0.2b
(/ 1 (/ (- t z) (- y z)))
1.3b
(* x (/ 1 (/ (- t z) (- y z))))

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
392×times-frac
335×add-sqr-sqrt
323×*-un-lft-identity
157×add-cube-cbrt
98×associate-*r*
82×distribute-lft-out-- difference-of-squares
36×associate-/r*
35×add-exp-log
19×add-cbrt-cube
18×associate-/r/
15×div-exp
10×div-inv
9×flip3-- flip--
8×associate-/l*
7×cbrt-undiv prod-exp
6×pow1
5×unswap-sqr
4×rec-exp 1-exp
3×associate-*l* cbrt-unprod add-log-exp
2×frac-2neg clear-num associate-/l/
1×pow-flip div-sub associate-*r/ pow-prod-down un-div-inv *-commutative inv-pow
Counts
3 → 327
Calls
3 calls:
8.0ms
(/ (- t z) (- y z))
12.0ms
(/ 1 (/ (- t z) (- y z)))
32.0ms
(* x (/ 1 (/ (- t z) (- y z))))

series55.0ms

Counts
3 → 9
Calls
3 calls:
9.0ms
(/ (- t z) (- y z))
16.0ms
(/ 1 (/ (- t z) (- y z)))
30.0ms
(* x (/ 1 (/ (- t z) (- y z))))

simplify81.0ms

Algorithm
egg-herbie
Counts
336 → 336
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
049724378
149724378

prune249.0ms

Filtered
193 candidates to 336 candidates (-74.1%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New3333336
Fresh437
Picked011
Done000
Total3377344

Merged error: 0b

Counts
344 → 7

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (- y z))
0.2b
(/ 1 (* (- t z) (/ 1 (- y z))))
0.2b
(* (- t z) (/ 1 (- y z)))
1.3b
(* x (/ 1 (* (- t z) (/ 1 (- y z)))))

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
104×add-exp-log
54×add-sqr-sqrt
46×*-un-lft-identity
44×prod-exp
38×times-frac
36×div-exp
34×associate-*r* add-cbrt-cube
29×add-cube-cbrt
18×rec-exp 1-exp
16×associate-/r/
12×pow1
10×cbrt-undiv cbrt-unprod
8×flip3-- associate-*l* flip-- distribute-lft-out-- difference-of-squares
6×frac-times associate-*l/ associate-/r* associate-/l*
4×associate-*r/ un-div-inv div-inv add-log-exp unswap-sqr
3×pow-flip pow-prod-down
2×frac-2neg clear-num *-commutative inv-pow
Counts
4 → 183
Calls
4 calls:
5.0ms
(/ 1 (- y z))
14.0ms
(/ 1 (* (- t z) (/ 1 (- y z))))
13.0ms
(* (- t z) (/ 1 (- y z)))
16.0ms
(* x (/ 1 (* (- t z) (/ 1 (- y z)))))

series54.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(/ 1 (- y z))
16.0ms
(/ 1 (* (- t z) (/ 1 (- y z))))
9.0ms
(* (- t z) (/ 1 (- y z)))
25.0ms
(* x (/ 1 (* (- t z) (/ 1 (- y z)))))

simplify61.0ms

Algorithm
egg-herbie
Counts
195 → 195
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
054711628

prune141.0ms

Filtered
104 candidates to 195 candidates (-87.5%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1950195
Fresh055
Picked011
Done011
Total1957202

Merged error: 0b

Counts
202 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(* x (* (cbrt (/ (- y z) (- t z))) (cbrt (/ (- y z) (- t z)))))
3.0b
(cbrt (/ (- y z) (- t z)))
3.0b
(cbrt (/ (- y z) (- t z)))
3.0b
(cbrt (/ (- y z) (- t z)))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
99×add-sqr-sqrt
98×*-un-lft-identity
93×cbrt-prod
75×times-frac
38×add-cube-cbrt
30×distribute-lft-out-- difference-of-squares
9×pow1 add-exp-log
7×cbrt-div add-cbrt-cube
6×associate-/r/
4×associate-*r/ add-log-exp
3×flip3-- pow1/3 associate-*l* pow-prod-down prod-exp flip-- cbrt-unprod div-inv
1×frac-times associate-*r* associate-*l/ *-commutative unswap-sqr
Counts
4 → 142
Calls
4 calls:
21.0ms
(* x (* (cbrt (/ (- y z) (- t z))) (cbrt (/ (- y z) (- t z)))))
9.0ms
(cbrt (/ (- y z) (- t z)))
7.0ms
(cbrt (/ (- y z) (- t z)))
7.0ms
(cbrt (/ (- y z) (- t z)))

series245.0ms

Counts
4 → 12
Calls
4 calls:
61.0ms
(* x (* (cbrt (/ (- y z) (- t z))) (cbrt (/ (- y z) (- t z)))))
62.0ms
(cbrt (/ (- y z) (- t z)))
59.0ms
(cbrt (/ (- y z) (- t z)))
62.0ms
(cbrt (/ (- y z) (- t z)))

simplify42.0ms

Algorithm
egg-herbie
Counts
154 → 154
Iterations

Useful iterations: 0 (27.0ms)

IterNodesCost
051452503

prune125.0ms

Filtered
111 candidates to 154 candidates (-38.7%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1540154
Fresh044
Picked011
Done022
Total1547161

Merged error: 0b

Counts
161 → 7

regimes355.0ms

Accuracy

0% (2.3b remaining)

Error of 2.3b against oracle of 0.0b and baseline of 2.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01211
11211

end0.0ms

sample682.0ms

Algorithm
intervals
Results
280.0ms8700×body80valid

Profiling

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