Details

Time bar (total: 4.7s)

sample49.0ms

Algorithm
intervals
Results
32.0ms685×body80valid

simplify53.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
0268
1518
2887
31537
43577
515727
650027

prune6.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 0.2b

Counts
2 → 1

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* a a) (* b b))
0.0b
(fma (* 4.0 b) b (- (pow (+ (* a a) (* b b)) 2.0) 1.0))
0.3b
(pow (+ (* a a) (* b b)) 2.0)

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-log-exp
4×pow1 add-exp-log
3×expm1-log1p-u unpow-prod-down pow-unpow add-cbrt-cube log1p-expm1-u
1×+-commutative pow-to-exp pow-pow fma-def flip3-+ pow-exp sum-log flip-+ fma-udef sqr-pow
Counts
3 → 43
Calls
3 calls:
4.0ms
(+ (* a a) (* b b))
1.0ms
(fma (* 4.0 b) b (- (pow (+ (* a a) (* b b)) 2.0) 1.0))
5.0ms
(pow (+ (* a a) (* b b)) 2.0)

series204.0ms

Counts
3 → 9
Calls
3 calls:
26.0ms
(+ (* a a) (* b b))
75.0ms
(fma (* 4.0 b) b (- (pow (+ (* a a) (* b b)) 2.0) 1.0))
102.0ms
(pow (+ (* a a) (* b b)) 2.0)

simplify116.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 3 (111.0ms)

IterNodesCost
0226319
1972282
23693275
35001274

prune134.0ms

Filtered
52 candidates to 43 candidates (82.7%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New49352
Fresh000
Picked011
Done000
Total49453

Merged error: 0.0b

Counts
53 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (pow (+ (* a a) (* b b)) 2.0)) (cbrt (pow (+ (* a a) (* b b)) 2.0)))
19.2b
(cbrt (pow (+ (* a a) (* b b)) 2.0))
19.2b
(cbrt (pow (+ (* a a) (* b b)) 2.0))
19.2b
(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
73×cbrt-prod
46×add-sqr-sqrt
29×unpow-prod-down
22×add-cube-cbrt *-un-lft-identity
16×unswap-sqr
15×sqr-pow
11×pow1
10×swap-sqr associate-*r* associate-*l*
9×pow1/3
6×add-exp-log
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 117
Calls
4 calls:
19.0ms
(* (cbrt (pow (+ (* a a) (* b b)) 2.0)) (cbrt (pow (+ (* a a) (* b b)) 2.0)))
5.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))
4.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))
4.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))

series598.0ms

Counts
4 → 12
Calls
4 calls:
152.0ms
(* (cbrt (pow (+ (* a a) (* b b)) 2.0)) (cbrt (pow (+ (* a a) (* b b)) 2.0)))
147.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))
152.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))
147.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify105.0ms

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 3 (90.0ms)

IterNodesCost
02171556
17021473
233081390
350011383

prune365.0ms

Filtered
129 candidates to 96 candidates (74.4%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1281129
Fresh022
Picked011
Done011
Total1285133

Merged error: 0b

Counts
133 → 5

localize19.0ms

Local error

Found 4 expressions with local error:

0.3b
(pow (+ (* a a) (* b b)) 2.0)
0.3b
(pow (fma a a (* b b)) (* 2 2.0))
19.2b
(cbrt (pow (+ (* a a) (* b b)) 2.0))
23.8b
(cbrt (pow (fma a a (* b b)) (* 2 2.0)))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
14×cbrt-prod
12×unpow-prod-down
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×pow1 add-exp-log
4×expm1-log1p-u pow-unpow add-cbrt-cube log1p-expm1-u add-log-exp sqr-pow
2×pow-to-exp pow-pow pow1/3 pow-exp
Counts
4 → 70
Calls
4 calls:
5.0ms
(pow (+ (* a a) (* b b)) 2.0)
2.0ms
(pow (fma a a (* b b)) (* 2 2.0))
4.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))
2.0ms
(cbrt (pow (fma a a (* b b)) (* 2 2.0)))

series737.0ms

Counts
4 → 12
Calls
4 calls:
317.0ms
(pow (+ (* a a) (* b b)) 2.0)
112.0ms
(pow (fma a a (* b b)) (* 2 2.0))
148.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))
160.0ms
(cbrt (pow (fma a a (* b b)) (* 2 2.0)))

simplify137.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 3 (128.0ms)

IterNodesCost
0281583
11057538
24170518
35001513

prune287.0ms

Filtered
82 candidates to 68 candidates (82.9%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New82082
Fresh022
Picked011
Done022
Total82587

Merged error: 0b

Counts
87 → 5

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(* 2.0 (pow a 2))
0.0b
(fma (* 4.0 b) b (- (fma (* 2.0 (pow a 2)) (pow b 2) (pow b 4)) 1.0))
1.3b
(fma (* 2.0 (pow a 2)) (pow b 2) (pow b 4))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
8×add-exp-log associate-*r*
6×add-cube-cbrt *-un-lft-identity
5×add-cbrt-cube
4×unpow-prod-down unswap-sqr
3×pow1 expm1-log1p-u associate-*l* prod-exp log1p-expm1-u add-log-exp
2×fma-udef unpow2 sqr-pow
1×pow-to-exp pow-exp *-commutative cbrt-unprod
Counts
3 → 49
Calls
3 calls:
5.0ms
(* 2.0 (pow a 2))
1.0ms
(fma (* 4.0 b) b (- (fma (* 2.0 (pow a 2)) (pow b 2) (pow b 4)) 1.0))
1.0ms
(fma (* 2.0 (pow a 2)) (pow b 2) (pow b 4))

series165.0ms

Counts
3 → 9
Calls
3 calls:
23.0ms
(* 2.0 (pow a 2))
70.0ms
(fma (* 4.0 b) b (- (fma (* 2.0 (pow a 2)) (pow b 2) (pow b 4)) 1.0))
72.0ms
(fma (* 2.0 (pow a 2)) (pow b 2) (pow b 4))

simplify128.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 3 (122.0ms)

IterNodesCost
0172328
1661285
23351281
35001279

prune136.0ms

Filtered
58 candidates to 42 candidates (72.4%)
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New58058
Fresh011
Picked011
Done033
Total58563

Merged error: 0b

Counts
63 → 5

regimes71.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0147
1147

end0.0ms

sample1.3s

Algorithm
intervals
Results
961.0ms20567×body80valid

Profiling

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