Details

Time bar (total: 4.4s)

sample17.0ms

Algorithm
intervals
Results
7.0ms267×body80valid

simplify13.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0103
1173
2213
3213

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: 2.9b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(- y (* z t))
2.9b
(/ x (- y (* z t)))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
67×add-sqr-sqrt
56×*-un-lft-identity
36×add-cube-cbrt prod-diff
21×times-frac
14×associate-*l*
10×distribute-lft-out-- difference-of-squares
9×associate-*r*
8×unswap-sqr
7×associate-/r*
4×add-exp-log add-cbrt-cube add-log-exp
3×fma-neg *-commutative associate-/l*
2×pow1 expm1-log1p-u flip3-- associate-/r/ flip-- log1p-expm1-u
1×cbrt-undiv sub-neg frac-2neg diff-log div-exp clear-num div-inv
Counts
2 → 104
Calls
2 calls:
9.0ms
(- y (* z t))
10.0ms
(/ x (- y (* z t)))

series81.0ms

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

simplify70.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
0387954
11179689
25001671

prune145.0ms

Filtered
110 candidates to 59 candidates (46.4%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1046110
Fresh000
Picked011
Done000
Total1047111

Merged error: 2.8b

Counts
111 → 7

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- y (* z t))
0.3b
(/ 1 (- y (* z t)))
2.8b
(* x (/ 1 (- y (* z t))))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
109×add-sqr-sqrt
89×*-un-lft-identity
51×add-cube-cbrt
44×times-frac
36×associate-*r* prod-diff
21×associate-*l*
18×distribute-lft-out-- difference-of-squares
16×add-exp-log
15×unswap-sqr
14×associate-/r*
13×associate-*r/
10×add-cbrt-cube
7×associate-/l*
6×pow1
5×add-log-exp
4×div-exp prod-exp associate-/r/ *-commutative
3×expm1-log1p-u flip3-- fma-neg clear-num un-div-inv flip-- log1p-expm1-u
2×cbrt-undiv rec-exp frac-2neg 1-exp cbrt-unprod div-inv
1×sub-neg pow-flip diff-log pow-prod-down inv-pow
Counts
3 → 174
Calls
3 calls:
10.0ms
(- y (* z t))
10.0ms
(/ 1 (- y (* z t)))
19.0ms
(* x (/ 1 (- y (* z t))))

series138.0ms

Counts
3 → 9
Calls
3 calls:
39.0ms
(- y (* z t))
53.0ms
(/ 1 (- y (* z t)))
46.0ms
(* x (/ 1 (- y (* z t))))

simplify89.0ms

Algorithm
egg-herbie
Counts
183 → 183
Iterations

Useful iterations: 2 (73.0ms)

IterNodesCost
05181286
11894957
25001877

prune215.0ms

Filtered
183 candidates to 89 candidates (51.4%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1821183
Fresh145
Picked011
Done011
Total1837190

Merged error: 2.8b

Counts
190 → 7

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.7b
(pow (cbrt z) 3)
0.7b
(pow (cbrt z) 3)
2.9b
(/ x (+ (- y (* (* (cbrt z) t) (* (cbrt z) (cbrt z)))) (* t (+ (- (pow (cbrt z) 3)) (pow (cbrt z) 3)))))

rewrite147.0ms

Algorithm
rewrite-expression-head
Rules
115×*-un-lft-identity
40×associate-*l*
33×times-frac
32×distribute-lft-out
27×add-sqr-sqrt add-cube-cbrt
24×distribute-lft-out--
12×unpow-prod-down
11×associate-/r*
9×cbrt-prod
8×add-exp-log add-cbrt-cube
6×pow1 pow-unpow associate-/r/
4×expm1-log1p-u pow-pow associate-*r/ frac-add log1p-expm1-u add-log-exp rem-cube-cbrt
3×flip3-+ pow1/3 flip-+ associate-/l*
2×pow-to-exp flip3-- unpow3 pow-exp flip-- sqr-pow
1×cbrt-undiv frac-2neg div-exp clear-num div-inv
Counts
4 → 132
Calls
4 calls:
1.0ms
(cbrt z)
3.0ms
(pow (cbrt z) 3)
3.0ms
(pow (cbrt z) 3)
134.0ms
(/ x (+ (- y (* (* (cbrt z) t) (* (cbrt z) (cbrt z)))) (* t (+ (- (pow (cbrt z) 3)) (pow (cbrt z) 3)))))

series853.0ms

Counts
4 → 12
Calls
4 calls:
220.0ms
(cbrt z)
281.0ms
(pow (cbrt z) 3)
267.0ms
(pow (cbrt z) 3)
84.0ms
(/ x (+ (- y (* (* (cbrt z) t) (* (cbrt z) (cbrt z)))) (* t (+ (- (pow (cbrt z) 3)) (pow (cbrt z) 3)))))

simplify136.0ms

Algorithm
egg-herbie
Counts
144 → 144
Iterations

Useful iterations: 2 (117.0ms)

IterNodesCost
04011609
122231307
250011208

prune318.0ms

Filtered
144 candidates to 80 candidates (44.4%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1440144
Fresh044
Picked011
Done022
Total1447151

Merged error: 2.8b

Counts
151 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt x)
0.5b
(cbrt x)
1.3b
(* (* (cbrt x) (cbrt x)) (/ (cbrt x) (- y (* z t))))
1.8b
(/ (cbrt x) (- y (* z t)))

rewrite79.0ms

Algorithm
rewrite-expression-head
Rules
224×add-sqr-sqrt
119×*-un-lft-identity
102×times-frac
97×cbrt-prod
62×add-cube-cbrt
57×unswap-sqr
54×associate-*r*
47×associate-*l*
42×add-cbrt-cube
28×distribute-lft-out-- difference-of-squares
27×cbrt-unprod
18×add-exp-log
16×associate-*r/
14×associate-/r*
13×associate-/l*
12×cbrt-undiv swap-sqr
9×pow1
6×prod-exp
5×*-commutative
4×expm1-log1p-u associate-/r/ log1p-expm1-u add-log-exp
3×div-exp pow-prod-down clear-num
2×flip3-- frac-2neg pow1/3 un-div-inv flip-- div-inv
Counts
4 → 249
Calls
4 calls:
1.0ms
(cbrt x)
2.0ms
(cbrt x)
45.0ms
(* (* (cbrt x) (cbrt x)) (/ (cbrt x) (- y (* z t))))
11.0ms
(/ (cbrt x) (- y (* z t)))

series665.0ms

Counts
4 → 12
Calls
4 calls:
227.0ms
(cbrt x)
215.0ms
(cbrt x)
77.0ms
(* (* (cbrt x) (cbrt x)) (/ (cbrt x) (- y (* z t))))
144.0ms
(/ (cbrt x) (- y (* z t)))

simplify157.0ms

Algorithm
egg-herbie
Counts
261 → 261
Iterations

Useful iterations: 2 (132.0ms)

IterNodesCost
07432487
139462067
250011984

prune481.0ms

Filtered
261 candidates to 172 candidates (34.1%)
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New2610261
Fresh033
Picked011
Done033
Total2617268

Merged error: 2.8b

Counts
268 → 7

regimes227.0ms

Accuracy

0% (0.1b remaining)

Error of 3.0b against oracle of 2.9b and baseline of 3.0b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
083
183

end0.0ms

sample440.0ms

Algorithm
intervals
Results
218.0ms8357×body80valid