Details

Time bar (total: 3.4s)

sample33.0ms

Algorithm
intervals
Results
17.0ms510×body80valid

simplify7.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0247
1427
2547
3547

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: 35.6b

Counts
2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ (* x x) (* y y)) (/ (* z z) (* t t)))
20.3b
(/ (* x x) (* y y))
23.5b
(/ (* z z) (* t t))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
27×add-exp-log add-cbrt-cube
8×cbrt-undiv div-exp prod-exp cbrt-unprod
5×*-un-lft-identity add-log-exp
3×pow1 add-sqr-sqrt add-cube-cbrt
2×frac-2neg times-frac clear-num associate-/r* div-inv associate-/l*
1×+-commutative flip3-+ frac-add sum-log flip-+ distribute-lft-out
Counts
3 → 55
Calls
3 calls:
9.0ms
(+ (/ (* x x) (* y y)) (/ (* z z) (* t t)))
9.0ms
(/ (* x x) (* y y))
7.0ms
(/ (* z z) (* t t))

series142.0ms

Counts
3 → 9
Calls
3 calls:
90.0ms
(+ (/ (* x x) (* y y)) (/ (* z z) (* t t)))
25.0ms
(/ (* x x) (* y y))
26.0ms
(/ (* z z) (* t t))

simplify41.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0375410
11850329
25002297

prune134.0ms

Filtered
64 candidates to 39 candidates (60.9%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New541064
Fresh000
Picked101
Done000
Total551065

Merged error: 4.6b

Counts
65 → 10

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ (* x x) (* y y)) (* (/ z t) (/ z t)))
0.3b
(* (/ z t) (/ z t))
20.3b
(/ (* x x) (* y y))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
41×times-frac
31×add-cube-cbrt *-un-lft-identity
27×add-exp-log add-cbrt-cube
13×swap-sqr associate-*r* associate-*l*
10×pow1
8×cbrt-undiv div-exp prod-exp cbrt-unprod
5×div-inv add-log-exp
4×unswap-sqr
3×frac-add
2×frac-times associate-*r/ associate-*l/
1×+-commutative pow2 frac-2neg flip3-+ pow-plus pow-prod-down clear-num associate-/r* sum-log pow-sqr *-commutative pow-prod-up flip-+ associate-/l*
Counts
3 → 102
Calls
3 calls:
7.0ms
(+ (/ (* x x) (* y y)) (* (/ z t) (/ z t)))
10.0ms
(* (/ z t) (/ z t))
6.0ms
(/ (* x x) (* y y))

series143.0ms

Counts
3 → 9
Calls
3 calls:
89.0ms
(+ (/ (* x x) (* y y)) (* (/ z t) (/ z t)))
29.0ms
(* (/ z t) (/ z t))
25.0ms
(/ (* x x) (* y y))

simplify68.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
0590695
12934591
25002561

prune206.0ms

Filtered
111 candidates to 69 candidates (62.2%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New10110111
Fresh729
Picked101
Done000
Total10912121

Merged error: 0.1b

Counts
121 → 12

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* (/ x y) (/ x y)) (* (/ z t) (/ z t)))
0.3b
(* (/ z t) (/ z t))
0.3b
(* (/ x y) (/ x y))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
83×add-sqr-sqrt
80×times-frac
59×add-cube-cbrt *-un-lft-identity
27×add-exp-log add-cbrt-cube
26×swap-sqr associate-*r* associate-*l*
17×pow1
9×frac-add
8×cbrt-undiv frac-times associate-*r/ div-exp associate-*l/ prod-exp cbrt-unprod div-inv unswap-sqr
5×add-log-exp
2×pow2 pow-plus pow-prod-down pow-sqr *-commutative pow-prod-up
1×+-commutative flip3-+ sum-log flip-+
Counts
3 → 154
Calls
3 calls:
7.0ms
(+ (* (/ x y) (/ x y)) (* (/ z t) (/ z t)))
10.0ms
(* (/ z t) (/ z t))
14.0ms
(* (/ x y) (/ x y))

series144.0ms

Counts
3 → 9
Calls
3 calls:
93.0ms
(+ (* (/ x y) (/ x y)) (* (/ z t) (/ z t)))
25.0ms
(* (/ z t) (/ z t))
26.0ms
(* (/ x y) (/ x y))

simplify113.0ms

Algorithm
egg-herbie
Counts
163 → 163
Iterations

Useful iterations: 2 (96.0ms)

IterNodesCost
08181019
14079895
25001862

prune298.0ms

Filtered
163 candidates to 104 candidates (63.8%)
Pruning

16 alts after pruning (16 fresh and 0 done)

PrunedKeptTotal
New15310163
Fresh5611
Picked101
Done000
Total15916175

Merged error: 0.0b

Counts
175 → 16

localize11.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (* (/ z t) (/ z t))) (cbrt (* (/ z t) (/ z t))))
20.2b
(cbrt (* (/ z t) (/ z t)))
20.2b
(cbrt (* (/ z t) (/ z t)))
20.2b
(cbrt (* (/ z t) (/ z t)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
33×cbrt-div
20×frac-times
14×associate-*r/ associate-*l/
12×add-sqr-sqrt
11×pow1 cbrt-prod
9×pow1/3
8×add-cube-cbrt *-un-lft-identity
6×add-exp-log
4×swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 85
Calls
4 calls:
6.0ms
(* (cbrt (* (/ z t) (/ z t))) (cbrt (* (/ z t) (/ z t))))
5.0ms
(cbrt (* (/ z t) (/ z t)))
5.0ms
(cbrt (* (/ z t) (/ z t)))
5.0ms
(cbrt (* (/ z t) (/ z t)))

series347.0ms

Counts
4 → 12
Calls
4 calls:
97.0ms
(* (cbrt (* (/ z t) (/ z t))) (cbrt (* (/ z t) (/ z t))))
84.0ms
(cbrt (* (/ z t) (/ z t)))
84.0ms
(cbrt (* (/ z t) (/ z t)))
83.0ms
(cbrt (* (/ z t) (/ z t)))

simplify58.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 3 (50.0ms)

IterNodesCost
0197733
1610650
22523587
35001573

prune181.0ms

Filtered
97 candidates to 64 candidates (66.0%)
Pruning

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New97097
Fresh01515
Picked011
Done000
Total9716113

Merged error: 0.0b

Counts
113 → 16

regimes427.0ms

Accuracy

0% (0.7b remaining)

Error of 0.8b against oracle of 0.1b and baseline of 0.8b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01418
11418

end0.0ms

sample912.0ms

Algorithm
intervals
Results
535.0ms15250×body80valid