Details

Time bar (total: 4.0s)

sample22.0ms

Algorithm
intervals
Results
9.0ms327×body80valid

simplify17.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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: 3.9b

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)))
3.8b
(* x (- (/ y z) (/ t (- 1.0 z))))

rewrite52.0ms

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:
5.0ms
(/ t (- 1.0 z))
18.0ms
(- (/ y z) (/ t (- 1.0 z)))
25.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

series117.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(/ t (- 1.0 z))
33.0ms
(- (/ y z) (/ t (- 1.0 z)))
49.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

simplify49.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0387632
11452595
25001593

prune224.0ms

Filtered
98 candidates to 71 candidates (72.4%)
Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New861298
Fresh000
Picked011
Done000
Total861399

Merged error: 0.8b

Counts
99 → 13

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (- 1.0 z))
0.0b
(- (/ y z) (* t (/ 1 (- 1.0 z))))
0.1b
(* t (/ 1 (- 1.0 z)))
3.8b
(* 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))
6.0ms
(- (/ y z) (* t (/ 1 (- 1.0 z))))
13.0ms
(* t (/ 1 (- 1.0 z)))
8.0ms
(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))

series141.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(/ 1 (- 1.0 z))
34.0ms
(- (/ y z) (* t (/ 1 (- 1.0 z))))
37.0ms
(* t (/ 1 (- 1.0 z)))
46.0ms
(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))

simplify65.0ms

Algorithm
egg-herbie
Counts
137 → 137
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0495827
12159731
25001689

prune239.0ms

Filtered
137 candidates to 83 candidates (60.6%)
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New1361137
Fresh3811
Picked011
Done011
Total13911150

Merged error: 0.0b

Counts
150 → 11

localize12.0ms

Local error

Found 4 expressions with local error:

0.7b
(* x (* (cbrt (- (/ y z) (/ t (- 1.0 z)))) (cbrt (- (/ y z) (/ t (- 1.0 z))))))
5.8b
(cbrt (- (/ y z) (/ t (- 1.0 z))))
5.8b
(cbrt (- (/ y z) (/ t (- 1.0 z))))
5.8b
(cbrt (- (/ y z) (/ t (- 1.0 z))))

rewrite107.0ms

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:
46.0ms
(* x (* (cbrt (- (/ y z) (/ t (- 1.0 z)))) (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))))
21.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))

series540.0ms

Counts
4 → 12
Calls
4 calls:
133.0ms
(* x (* (cbrt (- (/ y z) (/ t (- 1.0 z)))) (cbrt (- (/ y z) (/ t (- 1.0 z))))))
136.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))
137.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))
134.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))

simplify73.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 3 (59.0ms)

IterNodesCost
04191341
19691257
225061243
350021222

prune337.0ms

Filtered
109 candidates to 84 candidates (77.1%)
Pruning

11 alts after pruning (8 fresh and 3 done)

PrunedKeptTotal
New1081109
Fresh178
Picked011
Done022
Total10911120

Merged error: 0.0b

Counts
120 → 11

localize21.0ms

Local error

Found 4 expressions with local error:

5.8b
(cbrt (+ (/ y z) (/ t (- 1.0 z))))
5.8b
(cbrt (- (/ y z) (/ t (- 1.0 z))))
5.8b
(cbrt (- (/ y z) (/ t (- 1.0 z))))
21.0b
(cbrt (- (* (/ y z) (/ y z)) (* (/ t (- 1.0 z)) (/ t (- 1.0 z)))))

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
41×*-un-lft-identity
32×add-sqr-sqrt
30×cbrt-prod
20×cbrt-div times-frac
11×frac-sub
9×distribute-lft-out-- difference-of-squares
8×add-cube-cbrt
6×frac-times associate-*r/ associate-*l/
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
3×flip3-- flip-- distribute-lft-out
1×flip3-+ frac-add flip-+
Counts
4 → 82
Calls
4 calls:
17.0ms
(cbrt (+ (/ y z) (/ t (- 1.0 z))))
18.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))
20.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))
7.0ms
(cbrt (- (* (/ y z) (/ y z)) (* (/ t (- 1.0 z)) (/ t (- 1.0 z)))))

series564.0ms

Counts
4 → 12
Calls
4 calls:
130.0ms
(cbrt (+ (/ y z) (/ t (- 1.0 z))))
132.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))
134.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))
168.0ms
(cbrt (- (* (/ y z) (/ y z)) (* (/ t (- 1.0 z)) (/ t (- 1.0 z)))))

simplify47.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
05101145
113211085
250011071

prune362.0ms

Filtered
94 candidates to 76 candidates (80.9%)
Pruning

11 alts after pruning (7 fresh and 4 done)

PrunedKeptTotal
New94094
Fresh077
Picked011
Done033
Total9411105

Merged error: 0.0b

Counts
105 → 11

regimes346.0ms

Accuracy

92.7% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 4.5b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05753
15753

end0.0ms

sample557.0ms

Algorithm
intervals
Results
301.0ms10200×body80valid

Profiling

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