Details

Time bar (total: 3.1s)

analyze643.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
0%99.8%0.2%5
0%99.8%0.2%6
0%99.8%0.2%7
12.5%87.3%0.2%8
18.7%81.1%0.2%9
22.6%77.2%0.2%10
25%74.9%0.2%11
39.4%60.4%0.2%12
46.5%53.2%0.3%13
48%51.4%0.6%14

sample20.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
1.0ms19×body80invalid

simplify75.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (72.0ms)

IterNodesCost
012189
112189

prune11.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 5.1b

Counts
2 → 2

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/.f64 2.0 (-.f64 y t))
0.2b
(/.f64 (/.f64 2.0 (-.f64 y t)) z)
5.5b
(*.f64 x (/.f64 (/.f64 2.0 (-.f64 y t)) z))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
249×times-frac_binary64
180×add-sqr-sqrt_binary64
171×*-un-lft-identity_binary64
121×add-cube-cbrt_binary64
67×associate-*r*_binary64
25×difference-of-squares_binary64 distribute-lft-out--_binary64
24×associate-/l*_binary64
19×add-exp-log_binary64 add-cbrt-cube_binary64
16×associate-/r/_binary64
10×div-inv_binary64
8×associate-/r*_binary64 flip3--_binary64 flip--_binary64
7×cbrt-undiv_binary64 div-exp_binary64
5×pow1_binary64
3×add-log-exp_binary64 cbrt-unprod_binary64 associate-*l*_binary64 unswap-sqr_binary64 prod-exp_binary64
2×clear-num_binary64 frac-2neg_binary64
1×pow-prod-down_binary64 associate-/l/_binary64 associate-*r/_binary64 *-commutative_binary64
Counts
3 → 228
Calls
3 calls:
6.0ms
(/.f64 2.0 (-.f64 y t))
10.0ms
(/.f64 (/.f64 2.0 (-.f64 y t)) z)
25.0ms
(*.f64 x (/.f64 (/.f64 2.0 (-.f64 y t)) z))

series44.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(/.f64 2.0 (-.f64 y t))
18.0ms
(/.f64 (/.f64 2.0 (-.f64 y t)) z)
20.0ms
(*.f64 x (/.f64 (/.f64 2.0 (-.f64 y t)) z))

simplify53.0ms

Algorithm
egg-herbie
Counts
237 → 237
Iterations

Useful iterations: 0 (31.0ms)

IterNodesCost
050592846

prune444.0ms

Filtered
177 candidates to 237 candidates (-33.9%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New2289237
Fresh011
Picked011
Done000
Total22811239

Merged error: 0b

Counts
239 → 11

localize18.0ms

Local error

Found 4 expressions with local error:

1.0b
(cbrt.f64 2.0)
1.0b
(cbrt.f64 2.0)
1.0b
(cbrt.f64 2.0)
2.7b
(*.f64 x (/.f64 (/.f64 (*.f64 (cbrt.f64 2.0) (cbrt.f64 2.0)) (*.f64 (cbrt.f64 (-.f64 y t)) (cbrt.f64 (-.f64 y t)))) (*.f64 (cbrt.f64 z) (cbrt.f64 z))))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
57×add-exp-log_binary64
31×add-cbrt-cube_binary64
24×cbrt-unprod_binary64 prod-exp_binary64
18×cbrt-undiv_binary64 div-exp_binary64
17×associate-*r*_binary64 times-frac_binary64
15×add-sqr-sqrt_binary64
12×cbrt-div_binary64
10×*-un-lft-identity_binary64 add-cube-cbrt_binary64
9×cbrt-prod_binary64
8×associate-/r/_binary64
6×pow1_binary64 flip3--_binary64 flip--_binary64
4×add-log-exp_binary64 frac-times_binary64
3×associate-*r/_binary64 pow1/3_binary64 associate-*l*_binary64 unswap-sqr_binary64
2×div-inv_binary64 associate-*l/_binary64
1×pow-prod-down_binary64 *-commutative_binary64
Counts
4 → 88
Calls
4 calls:
1.0ms
(cbrt.f64 2.0)
1.0ms
(cbrt.f64 2.0)
1.0ms
(cbrt.f64 2.0)
25.0ms
(*.f64 x (/.f64 (/.f64 (*.f64 (cbrt.f64 2.0) (cbrt.f64 2.0)) (*.f64 (cbrt.f64 (-.f64 y t)) (cbrt.f64 (-.f64 y t)))) (*.f64 (cbrt.f64 z) (cbrt.f64 z))))

series85.0ms

Counts
4 → 6
Calls
4 calls:
0.0ms
(cbrt.f64 2.0)
0.0ms
(cbrt.f64 2.0)
0.0ms
(cbrt.f64 2.0)
85.0ms
(*.f64 x (/.f64 (/.f64 (*.f64 (cbrt.f64 2.0) (cbrt.f64 2.0)) (*.f64 (cbrt.f64 (-.f64 y t)) (cbrt.f64 (-.f64 y t)))) (*.f64 (cbrt.f64 z) (cbrt.f64 z))))

simplify87.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 0 (70.0ms)

IterNodesCost
053041259

prune128.0ms

Filtered
61 candidates to 94 candidates (-54.1%)
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New94094
Fresh099
Picked011
Done011
Total9411105

Merged error: 0b

Counts
105 → 11

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(/.f64 2.0 (-.f64 y t))
0.2b
(*.f64 x (/.f64 2.0 (-.f64 y t)))
5.0b
(/.f64 (*.f64 x (/.f64 2.0 (-.f64 y t))) z)

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
44×add-sqr-sqrt_binary64
39×*-un-lft-identity_binary64
34×times-frac_binary64
25×add-cube-cbrt_binary64
21×associate-*r*_binary64
19×add-exp-log_binary64 add-cbrt-cube_binary64
8×associate-/r*_binary64
7×difference-of-squares_binary64 distribute-lft-out--_binary64
6×cbrt-undiv_binary64 div-exp_binary64
5×pow1_binary64
4×cbrt-unprod_binary64 associate-/r/_binary64 prod-exp_binary64 associate-/l*_binary64
3×add-log-exp_binary64 associate-*l*_binary64 div-inv_binary64
2×flip3--_binary64 associate-*r/_binary64 unswap-sqr_binary64 clear-num_binary64 frac-2neg_binary64 flip--_binary64
1×pow-prod-down_binary64 associate-/l/_binary64 *-commutative_binary64
Counts
3 → 101
Calls
3 calls:
6.0ms
(/.f64 2.0 (-.f64 y t))
10.0ms
(*.f64 x (/.f64 2.0 (-.f64 y t)))
9.0ms
(/.f64 (*.f64 x (/.f64 2.0 (-.f64 y t))) z)

series37.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(/.f64 2.0 (-.f64 y t))
11.0ms
(*.f64 x (/.f64 2.0 (-.f64 y t)))
19.0ms
(/.f64 (*.f64 x (/.f64 2.0 (-.f64 y t))) z)

simplify54.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
04977935
14977935

prune102.0ms

Filtered
76 candidates to 110 candidates (-44.7%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1064110
Fresh538
Picked101
Done112
Total1138121

Merged error: 0b

Counts
121 → 8

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/.f64 (*.f64 x 2.0) (-.f64 y t))
5.0b
(/.f64 (/.f64 (*.f64 x 2.0) (-.f64 y t)) z)

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
58×times-frac_binary64
36×*-un-lft-identity_binary64 add-sqr-sqrt_binary64
24×add-cube-cbrt_binary64
16×add-exp-log_binary64 add-cbrt-cube_binary64
12×associate-/l*_binary64
10×associate-/r/_binary64
8×associate-/r*_binary64
7×cbrt-undiv_binary64 div-exp_binary64
6×difference-of-squares_binary64 distribute-lft-out--_binary64 div-inv_binary64
5×flip3--_binary64 flip--_binary64
2×add-log-exp_binary64 pow1_binary64 cbrt-unprod_binary64 clear-num_binary64 prod-exp_binary64 frac-2neg_binary64
1×associate-/l/_binary64
Counts
2 → 91
Calls
2 calls:
7.0ms
(/.f64 (*.f64 x 2.0) (-.f64 y t))
9.0ms
(/.f64 (/.f64 (*.f64 x 2.0) (-.f64 y t)) z)

series28.0ms

Counts
2 → 6
Calls
2 calls:
9.0ms
(/.f64 (*.f64 x 2.0) (-.f64 y t))
19.0ms
(/.f64 (/.f64 (*.f64 x 2.0) (-.f64 y t)) z)

simplify40.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 0 (30.0ms)

IterNodesCost
055291159

prune69.0ms

Filtered
70 candidates to 97 candidates (-38.6%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New97097
Fresh066
Picked011
Done011
Total978105

Merged error: 0b

Counts
105 → 8

regimes460.0ms

Accuracy

35.4% (3.4b remaining)

Error of 3.4b against oracle of 0.0b and baseline of 5.2b

bsearch1.0ms

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04148
14148

end0.0ms

sample526.0ms

Algorithm
intervals
Results
286.0ms8000×body80valid
22.0ms661×body80invalid

Profiling

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