Details

Time bar (total: 4.1s)

sample24.0ms

Algorithm
intervals
Results
12.0ms315×body80valid

simplify22.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0155
1255
2395
3585
4735
5875
61025
71085
81105
91105

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))))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
49×add-sqr-sqrt
45×*-un-lft-identity
31×times-frac
15×add-cube-cbrt
12×distribute-lft-out-- difference-of-squares
10×associate-*r*
7×add-exp-log add-cbrt-cube
5×pow1 associate-/r* add-log-exp
3×sub-neg flip3-- associate-*r/ associate-*l* flip-- associate-/l*
2×distribute-rgt-in distribute-lft-in associate-/r/ frac-sub
1×cbrt-undiv frac-2neg diff-log div-exp pow-prod-down prod-exp clear-num *-commutative cbrt-unprod div-inv unswap-sqr
Counts
3 → 89
Calls
3 calls:
8.0ms
(/ t (- 1.0 z))
18.0ms
(- (/ y z) (/ t (- 1.0 z)))
24.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

series127.0ms

Counts
3 → 9
Calls
3 calls:
39.0ms
(/ t (- 1.0 z))
37.0ms
(- (/ y z) (/ t (- 1.0 z)))
51.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

simplify53.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0387632
11452595
25001593

prune235.0ms

Filtered
98 candidates to 71 candidates (72.4%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New881098
Fresh000
Picked011
Done000
Total881199

Merged error: 0.2b

Counts
99 → 11

localize13.0ms

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)))))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
49×add-sqr-sqrt
41×*-un-lft-identity
32×times-frac
26×add-cube-cbrt
24×associate-*r*
19×add-exp-log
13×add-cbrt-cube
9×pow1
7×associate-*r/ distribute-lft-out-- difference-of-squares
6×associate-*l* add-log-exp
5×prod-exp associate-/r*
4×flip3-- div-exp associate-/r/ frac-sub flip-- unswap-sqr
3×sub-neg un-div-inv cbrt-unprod associate-/l*
2×cbrt-undiv distribute-rgt-in rec-exp distribute-lft-in 1-exp pow-prod-down *-commutative div-inv
1×pow-flip frac-2neg diff-log clear-num inv-pow
Counts
4 → 125
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)))
9.0ms
(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))

series163.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(/ 1 (- 1.0 z))
38.0ms
(- (/ y z) (* t (/ 1 (- 1.0 z))))
38.0ms
(* t (/ 1 (- 1.0 z)))
59.0ms
(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))

simplify68.0ms

Algorithm
egg-herbie
Counts
137 → 137
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
0495827
12159731
25001689

prune245.0ms

Filtered
137 candidates to 83 candidates (60.6%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1352137
Fresh459
Picked011
Done011
Total1399148

Merged error: 0.0b

Counts
148 → 9

localize12.0ms

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))))

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
20×*-un-lft-identity
18×pow1 add-exp-log
11×associate-*r* add-cbrt-cube
10×cbrt-prod distribute-rgt-in distribute-lft-in
9×add-cube-cbrt associate-*r/ pow-prod-down prod-exp cbrt-unprod
8×times-frac
7×associate-*l*
6×sub-neg
4×distribute-lft-out-- add-log-exp difference-of-squares
2×flip3-- pow1/3 *-commutative frac-sub flip-- unswap-sqr
Counts
4 → 91
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
28.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (/ y z) (/ t (- 1.0 z)))))
27.0ms
(* (cbrt x) (- (/ y z) (/ t (- 1.0 z))))

series633.0ms

Counts
4 → 12
Calls
4 calls:
190.0ms
(cbrt x)
189.0ms
(cbrt x)
78.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (/ y z) (/ t (- 1.0 z)))))
177.0ms
(* (cbrt x) (- (/ y z) (/ t (- 1.0 z))))

simplify77.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
0426899
11903709
25001639

prune234.0ms

Filtered
103 candidates to 67 candidates (65.0%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New1030103
Fresh066
Picked011
Done022
Total1039112

Merged error: 0.0b

Counts
112 → 9

localize13.0ms

Local error

Found 4 expressions with local error:

1.0b
(* x (* (cbrt (- (/ y z) (/ t (- 1.0 z)))) (cbrt (- (/ y z) (/ t (- 1.0 z))))))
5.3b
(cbrt (- (/ y z) (/ t (- 1.0 z))))
5.3b
(cbrt (- (/ y z) (/ t (- 1.0 z))))
5.3b
(cbrt (- (/ y z) (/ t (- 1.0 z))))

rewrite106.0ms

Algorithm
rewrite-expression-head
Rules
45×add-sqr-sqrt
41×*-un-lft-identity
33×cbrt-div
30×cbrt-prod
24×times-frac
18×associate-*r/
12×distribute-lft-out-- difference-of-squares
11×flip3-- frac-sub flip--
9×pow1 add-exp-log frac-times
8×add-cube-cbrt
7×add-cbrt-cube
4×add-log-exp
3×pow1/3 associate-*l* pow-prod-down associate-*l/ prod-exp cbrt-unprod
1×associate-*r* *-commutative unswap-sqr
Counts
4 → 97
Calls
4 calls:
43.0ms
(* x (* (cbrt (- (/ y z) (/ t (- 1.0 z)))) (cbrt (- (/ y z) (/ t (- 1.0 z))))))
21.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))
18.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))
18.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))

series619.0ms

Counts
4 → 12
Calls
4 calls:
145.0ms
(* x (* (cbrt (- (/ y z) (/ t (- 1.0 z)))) (cbrt (- (/ y z) (/ t (- 1.0 z))))))
157.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))
154.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))
162.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))

simplify89.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 3 (69.0ms)

IterNodesCost
04191341
19691257
225061243
350021222

prune350.0ms

Filtered
109 candidates to 84 candidates (77.1%)
Pruning

9 alts after pruning (5 fresh and 4 done)

PrunedKeptTotal
New1090109
Fresh055
Picked011
Done033
Total1099118

Merged error: 0.0b

Counts
118 → 9

regimes302.0ms

Accuracy

71% (1.4b remaining)

Error of 1.5b against oracle of 0.1b and baseline of 4.9b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03023
13023

end0.0ms

sample574.0ms

Algorithm
intervals
Results
314.0ms10126×body80valid