Details

Time bar (total: 2.9s)

sample19.0ms

Algorithm
intervals
Results
8.0ms335×body80valid

simplify14.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0163
1363
2803
31233
41413
51433
61433

prune5.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 5.6b

Counts
2 → 2

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(* y (- x z))
5.4b
(* t (* y (- x z)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
55×distribute-rgt-in distribute-lft-in
54×prod-diff
45×add-sqr-sqrt
43×*-un-lft-identity
41×add-cube-cbrt
9×pow1 add-exp-log add-cbrt-cube
6×sub-neg associate-*r/ associate-*r* associate-*l*
4×pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u flip3-- *-commutative flip-- log1p-expm1-u add-log-exp
1×distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 112
Calls
2 calls:
7.0ms
(* y (- x z))
11.0ms
(* t (* y (- x z)))

series78.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(* y (- x z))
41.0ms
(* t (* y (- x z)))

simplify45.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
04021084
11572663
25001645

prune122.0ms

Filtered
118 candidates to 43 candidates (36.4%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New1099118
Fresh101
Picked101
Done000
Total1119120

Merged error: 0.0b

Counts
120 → 9

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* t (* x y)) (* t (* (- z) y)))
5.8b
(* t (* x y))
5.9b
(* t (* (- z) y))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
13×pow1 add-exp-log add-cbrt-cube
6×associate-*l* pow-prod-down prod-exp cbrt-unprod
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-log-exp
3×distribute-lft-neg-out expm1-log1p-u distribute-rgt-neg-out log1p-expm1-u
2×associate-*r* *-commutative
1×+-commutative fma-def flip3-+ unsub-neg sum-log flip-+ distribute-lft-out
Counts
3 → 58
Calls
3 calls:
7.0ms
(+ (* t (* x y)) (* t (* (- z) y)))
11.0ms
(* t (* x y))
9.0ms
(* t (* (- z) y))

series110.0ms

Counts
3 → 9
Calls
3 calls:
59.0ms
(+ (* t (* x y)) (* t (* (- z) y)))
24.0ms
(* t (* x y))
26.0ms
(* t (* (- z) y))

simplify43.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0267305
11118259
25001253

prune143.0ms

Filtered
67 candidates to 49 candidates (73.1%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New65267
Fresh268
Picked011
Done000
Total67976

Merged error: 0.0b

Counts
76 → 9

localize12.0ms

Local error

Found 4 expressions with local error:

5.9b
(* t (* (- z) y))
12.7b
(cbrt (* t (* x y)))
12.7b
(cbrt (* t (* x y)))
12.7b
(cbrt (* t (* x y)))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
9×pow1 add-exp-log add-cbrt-cube
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×cbrt-prod pow1/3 associate-*l* pow-prod-down prod-exp cbrt-unprod
1×distribute-lft-neg-out associate-*r* *-commutative distribute-rgt-neg-out
Counts
4 → 54
Calls
4 calls:
5.0ms
(* t (* (- z) y))
3.0ms
(cbrt (* t (* x y)))
4.0ms
(cbrt (* t (* x y)))
4.0ms
(cbrt (* t (* x y)))

series287.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(* t (* (- z) y))
85.0ms
(cbrt (* t (* x y)))
86.0ms
(cbrt (* t (* x y)))
87.0ms
(cbrt (* t (* x y)))

simplify91.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 3 (86.0ms)

IterNodesCost
0211339
1713303
23583294
35001279

prune192.0ms

Filtered
66 candidates to 54 candidates (81.8%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New66066
Fresh077
Picked011
Done011
Total66975

Merged error: 0.0b

Counts
75 → 9

localize9.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
2.7b
(* (cbrt t) (* y (- x z)))
2.9b
(* (* (cbrt t) (cbrt t)) (* (cbrt t) (* y (- x z))))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
176×distribute-rgt-in distribute-lft-in
108×prod-diff
80×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
30×pow1 add-exp-log
18×pow-prod-down prod-exp add-cbrt-cube cbrt-unprod
12×sub-neg
10×associate-*r/
9×cbrt-prod
7×associate-*l*
4×expm1-log1p-u log1p-expm1-u add-log-exp
2×flip3-- pow1/3 associate-*r* *-commutative flip--
Counts
4 → 215
Calls
4 calls:
1.0ms
(cbrt t)
1.0ms
(cbrt t)
9.0ms
(* (cbrt t) (* y (- x z)))
20.0ms
(* (* (cbrt t) (cbrt t)) (* (cbrt t) (* y (- x z))))

series612.0ms

Counts
4 → 12
Calls
4 calls:
187.0ms
(cbrt t)
176.0ms
(cbrt t)
175.0ms
(* (cbrt t) (* y (- x z)))
73.0ms
(* (* (cbrt t) (cbrt t)) (* (cbrt t) (* y (- x z))))

simplify84.0ms

Algorithm
egg-herbie
Counts
227 → 227
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
010413410
131631965
250011738

prune217.0ms

Filtered
227 candidates to 74 candidates (32.6%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New2270227
Fresh066
Picked011
Done022
Total2279236

Merged error: 0.0b

Counts
236 → 9

regimes178.0ms

Accuracy

44.2% (3.9b remaining)

Error of 4.0b against oracle of 0.0b and baseline of 7.1b

bsearch49.0ms

Steps
ItersRangePoint
8
9.161777305501048e+99
6.188380233264385e+102
9.321281072942028e+99
2
-4.01576310432622e+163
-3.578987153160813e+163
-3.6335841470564894e+163

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04718
15718
26118
36118

end0.0ms

sample513.0ms

Algorithm
intervals
Results
257.0ms10532×body80valid