Details

Time bar (total: 3.8s)

sample45.0ms

Algorithm
intervals
Results
21.0ms501×body80valid

simplify8.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0247
1427
2547
3547

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 35.0b

Counts
2 → 1

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ (* x x) (* y y)) (/ (* z z) (* t t)))
21.3b
(/ (* z z) (* t t))
22.4b
(/ (* x x) (* y y))

rewrite21.0ms

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:
8.0ms
(+ (/ (* x x) (* y y)) (/ (* z z) (* t t)))
6.0ms
(/ (* z z) (* t t))
6.0ms
(/ (* x x) (* y y))

series34.0ms

Counts
3 → 9
Calls
3 calls:
24.0ms
(+ (/ (* x x) (* y y)) (/ (* z z) (* t t)))
5.0ms
(/ (* z z) (* t t))
5.0ms
(/ (* x x) (* y y))

simplify40.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0375410
11850329
25002297

prune124.0ms

Filtered
39 candidates to 64 candidates (-64.1%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New521264
Fresh000
Picked101
Done000
Total531265

Merged error: 5.1b

Counts
65 → 12

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* (/ x y) (/ x y)) (/ (* z z) (* t t)))
0.3b
(* (/ x y) (/ x y))
21.3b
(/ (* z z) (* t t))

rewrite27.0ms

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 y) (/ x y)) (/ (* z z) (* t t)))
9.0ms
(* (/ x y) (/ x y))
6.0ms
(/ (* z z) (* t t))

series34.0ms

Counts
3 → 9
Calls
3 calls:
23.0ms
(+ (* (/ x y) (/ x y)) (/ (* z z) (* t t)))
5.0ms
(* (/ x y) (/ x y))
5.0ms
(/ (* z z) (* t t))

simplify68.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
0590695
12942594
25001564

prune124.0ms

Filtered
68 candidates to 111 candidates (-63.2%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New1047111
Fresh6511
Picked101
Done000
Total11112123

Merged error: 0.1b

Counts
123 → 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))

rewrite33.0ms

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:
6.0ms
(+ (* (/ x y) (/ x y)) (* (/ z t) (/ z t)))
11.0ms
(* (/ z t) (/ z t))
9.0ms
(* (/ x y) (/ x y))

series55.0ms

Counts
3 → 9
Calls
3 calls:
39.0ms
(+ (* (/ x y) (/ x y)) (* (/ z t) (/ z t)))
8.0ms
(* (/ z t) (/ z t))
7.0ms
(* (/ x y) (/ x y))

simplify145.0ms

Algorithm
egg-herbie
Counts
163 → 163
Iterations

Useful iterations: 2 (126.0ms)

IterNodesCost
08181019
14079895
25001862

prune204.0ms

Filtered
104 candidates to 163 candidates (-56.7%)
Pruning

19 alts after pruning (19 fresh and 0 done)

PrunedKeptTotal
New15211163
Fresh3811
Picked101
Done000
Total15619175

Merged error: 0.0b

Counts
175 → 19

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt t) (cbrt t))
0.6b
(cbrt t)
0.6b
(cbrt t)
0.6b
(cbrt t)

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×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 → 73
Calls
4 calls:
5.0ms
(* (cbrt t) (cbrt t))
1.0ms
(cbrt t)
1.0ms
(cbrt t)
1.0ms
(cbrt t)

series90.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* (cbrt t) (cbrt t))
21.0ms
(cbrt t)
21.0ms
(cbrt t)
23.0ms
(cbrt t)

simplify73.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (68.0ms)

IterNodesCost
0148349
1471322
22276265
35002252

prune94.0ms

Filtered
56 candidates to 85 candidates (-51.8%)
Pruning

17 alts after pruning (16 fresh and 1 done)

PrunedKeptTotal
New84185
Fresh31518
Picked011
Done000
Total8717104

Merged error: 0.0b

Counts
104 → 17

regimes1.3s

Accuracy

0% (1.3b remaining)

Error of 1.4b against oracle of 0.1b and baseline of 1.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01512
11512

end0.0ms

sample1.3s

Algorithm
intervals
Results
661.0ms15546×body80valid

Profiling

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