Details

Time bar (total: 11.8s)

sample20.0ms

Algorithm
intervals
Results
9.0ms315×body80valid

simplify18.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0155
1255
2415
3635
4805
5965
61135
71215
81245
91245

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 4.0b

Counts
2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ t (- 1.0 z))
0.0b
(- (/ y z) (/ t (- 1.0 z)))
3.9b
(* x (- (/ y z) (/ t (- 1.0 z))))

rewrite181.0ms

Algorithm
rewrite-expression-head
Rules
1192×times-frac
1082×add-sqr-sqrt
1078×*-un-lft-identity
819×prod-diff
814×add-cube-cbrt
275×distribute-rgt-in distribute-lft-in
129×distribute-lft-out-- difference-of-squares
104×div-inv
80×associate-/r/
42×flip3-- flip--
13×fma-neg
10×associate-*r*
7×add-exp-log add-cbrt-cube
5×pow1 associate-/r* add-log-exp
3×expm1-log1p-u sub-neg associate-*r/ associate-*l* log1p-expm1-u associate-/l*
2×frac-sub
1×cbrt-undiv frac-2neg diff-log div-exp pow-prod-down prod-exp clear-num *-commutative cbrt-unprod unswap-sqr
Counts
3 → 927
Calls
3 calls:
5.0ms
(/ t (- 1.0 z))
24.0ms
(- (/ y z) (/ t (- 1.0 z)))
47.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

series114.0ms

Counts
3 → 9
Calls
3 calls:
32.0ms
(/ t (- 1.0 z))
37.0ms
(- (/ y z) (/ t (- 1.0 z)))
45.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

simplify273.0ms

Algorithm
egg-herbie
Counts
936 → 936
Iterations

Useful iterations: 1 (50.0ms)

IterNodesCost
0166127825
1500122260

prune1.5s

Filtered
936 candidates to 376 candidates (40.2%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New92511936
Fresh000
Picked101
Done000
Total92611937

Merged error: 0.2b

Counts
937 → 11

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (- 1.0 z))
0.0b
(- (/ y z) (* t (/ 1 (- 1.0 z))))
0.2b
(* t (/ 1 (- 1.0 z)))
3.9b
(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
77×add-sqr-sqrt
69×*-un-lft-identity
68×times-frac
54×add-cube-cbrt
39×prod-diff
24×associate-*r*
19×add-exp-log
15×distribute-rgt-in distribute-lft-in
13×fma-neg add-cbrt-cube
9×pow1
7×associate-*r/ distribute-lft-out-- difference-of-squares
6×associate-*l* div-inv add-log-exp
5×prod-exp associate-/r*
4×expm1-log1p-u flip3-- div-exp associate-/r/ frac-sub flip-- log1p-expm1-u unswap-sqr
3×sub-neg un-div-inv cbrt-unprod associate-/l*
2×cbrt-undiv rec-exp 1-exp pow-prod-down *-commutative
1×pow-flip frac-2neg diff-log clear-num inv-pow
Counts
4 → 185
Calls
4 calls:
6.0ms
(/ 1 (- 1.0 z))
7.0ms
(- (/ y z) (* t (/ 1 (- 1.0 z))))
11.0ms
(* t (/ 1 (- 1.0 z)))
11.0ms
(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))

series138.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(/ 1 (- 1.0 z))
34.0ms
(- (/ y z) (* t (/ 1 (- 1.0 z))))
32.0ms
(* t (/ 1 (- 1.0 z)))
51.0ms
(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))

simplify78.0ms

Algorithm
egg-herbie
Counts
197 → 197
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
06261632
126971397
250011294

prune364.0ms

Filtered
197 candidates to 116 candidates (58.9%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New1970197
Fresh01010
Picked011
Done000
Total19711208

Merged error: 0.2b

Counts
208 → 11

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ t (- 1.0 z))
0.1b
(fma y (/ 1 z) (- (/ t (- 1.0 z))))
3.9b
(* x (fma y (/ 1 z) (- (/ t (- 1.0 z)))))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
23×*-un-lft-identity
15×add-cube-cbrt times-frac
7×add-exp-log add-cbrt-cube
5×pow1 associate-/r*
4×distribute-lft-out-- difference-of-squares
3×expm1-log1p-u associate-*r* associate-*l* fma-udef log1p-expm1-u associate-/l* add-log-exp
2×associate-/r/
1×cbrt-undiv distribute-rgt-in flip3-- frac-2neg distribute-lft-in div-exp pow-prod-down prod-exp clear-num *-commutative flip-- cbrt-unprod div-inv unswap-sqr
Counts
3 → 71
Calls
3 calls:
5.0ms
(/ t (- 1.0 z))
1.0ms
(fma y (/ 1 z) (- (/ t (- 1.0 z))))
6.0ms
(* x (fma y (/ 1 z) (- (/ t (- 1.0 z)))))

series173.0ms

Counts
3 → 9
Calls
3 calls:
42.0ms
(/ t (- 1.0 z))
72.0ms
(fma y (/ 1 z) (- (/ t (- 1.0 z))))
59.0ms
(* x (fma y (/ 1 z) (- (/ t (- 1.0 z)))))

simplify36.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0303522
11110468
25001463

prune214.0ms

Filtered
80 candidates to 62 candidates (77.5%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New79180
Fresh369
Picked101
Done011
Total83891

Merged error: 0.0b

Counts
91 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt x)
0.5b
(cbrt x)
1.7b
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (/ y z) (/ t (- 1.0 z)))))
2.5b
(* (cbrt x) (- (/ y z) (/ t (- 1.0 z))))

rewrite395.0ms

Algorithm
rewrite-expression-head
Rules
2312×times-frac
2077×add-sqr-sqrt
2072×*-un-lft-identity
1638×prod-diff
1593×add-cube-cbrt
1375×distribute-rgt-in distribute-lft-in
238×distribute-lft-out-- difference-of-squares
204×div-inv
156×associate-/r/
80×flip3-- flip--
18×pow1 add-exp-log
11×associate-*r* add-cbrt-cube
10×cbrt-prod
9×associate-*r/ pow-prod-down prod-exp cbrt-unprod
7×associate-*l*
6×sub-neg
4×expm1-log1p-u log1p-expm1-u add-log-exp
2×pow1/3 *-commutative frac-sub unswap-sqr
Counts
4 → 1737
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
74.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (/ y z) (/ t (- 1.0 z)))))
72.0ms
(* (cbrt x) (- (/ y z) (/ t (- 1.0 z))))

series562.0ms

Counts
4 → 12
Calls
4 calls:
173.0ms
(cbrt x)
176.0ms
(cbrt x)
70.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (/ y z) (/ t (- 1.0 z)))))
143.0ms
(* (cbrt x) (- (/ y z) (/ t (- 1.0 z))))

simplify586.0ms

Algorithm
egg-herbie
Counts
1749 → 1749
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
0500168301

prune6.2s

Filtered
1749 candidates to 1239 candidates (70.8%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New174901749
Fresh066
Picked011
Done011
Total174981757

Merged error: 0.0b

Counts
1757 → 8

regimes276.0ms

Accuracy

71.4% (1.4b remaining)

Error of 1.5b against oracle of 0.1b and baseline of 5.0b

bsearch2.0ms

simplify4.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04123
14523
24623
34623

end0.0ms

sample563.0ms

Algorithm
intervals
Results
319.0ms10126×body80valid