Details

Time bar (total: 5.7s)

analyze1.2s

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
0%99.8%0.2%8
0%99.8%0.2%9
1.8%98%0.2%10
7.7%92.1%0.2%11
10.4%89.3%0.2%12
12.2%87.5%0.2%13
21.9%77.7%0.4%14

sample33.0ms

Algorithm
intervals
Results
9.0ms213×body80valid
7.0ms16×body640valid
2.0ms42×body80invalid
1.0ms7×body1280valid
1.0ms9×body320valid
1.0ms10×body160valid
0.0ms1×body2560valid

simplify116.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (107.0ms)

IterNodesCost
0493019
1493019

prune1.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 12.9b

Counts
2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/.f64 (-.f64 t x) (-.f64 a z))
2.7b
(+.f64 x (*.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z))))
5.2b
(*.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z)))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
78×add-sqr-sqrt_binary64
73×*-un-lft-identity_binary64
51×times-frac_binary64
31×associate-*r*_binary64
27×add-cube-cbrt_binary64
23×difference-of-squares_binary64 distribute-lft-out--_binary64
10×add-exp-log_binary64 add-cbrt-cube_binary64
5×associate-/r*_binary64 add-log-exp_binary64 pow1_binary64 flip3--_binary64 associate-*l*_binary64 associate-/l*_binary64 flip--_binary64
4×associate-/r/_binary64
2×associate-/l/_binary64 cbrt-unprod_binary64 cbrt-undiv_binary64 unswap-sqr_binary64 prod-exp_binary64 div-inv_binary64 div-exp_binary64 frac-times_binary64 associate-*l/_binary64
1×pow-prod-down_binary64 flip3-+_binary64 associate-*r/_binary64 div-sub_binary64 clear-num_binary64 frac-2neg_binary64 +-commutative_binary64 flip-+_binary64 sum-log_binary64 *-commutative_binary64
Counts
3 → 119
Calls
3 calls:
8.0ms
(/.f64 (-.f64 t x) (-.f64 a z))
4.0ms
(+.f64 x (*.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z))))
18.0ms
(*.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z)))

series430.0ms

Counts
3 → 9
Calls
3 calls:
62.0ms
(/.f64 (-.f64 t x) (-.f64 a z))
210.0ms
(+.f64 x (*.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z))))
158.0ms
(*.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z)))

simplify84.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
059212420

prune111.0ms

Filtered
88 candidates to 128 candidates (-45.5%)
Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New11612128
Fresh000
Picked011
Done000
Total11613129

Merged error: 3.4b

Counts
129 → 13

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 (-.f64 t x))
0.6b
(cbrt.f64 (-.f64 t x))
0.6b
(cbrt.f64 (-.f64 t x))
8.1b
(+.f64 x (*.f64 (*.f64 (-.f64 y z) (/.f64 (*.f64 (cbrt.f64 (-.f64 t x)) (cbrt.f64 (-.f64 t x))) (*.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z))))) (/.f64 (cbrt.f64 (-.f64 t x)) (cbrt.f64 (-.f64 a z)))))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
15×cbrt-prod_binary64
13×*-un-lft-identity_binary64 add-sqr-sqrt_binary64
7×add-cube-cbrt_binary64
6×cbrt-div_binary64 add-log-exp_binary64
4×pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
3×flip3--_binary64 pow1/3_binary64 difference-of-squares_binary64 distribute-lft-out--_binary64 flip--_binary64
1×flip3-+_binary64 +-commutative_binary64 flip-+_binary64 sum-log_binary64
Counts
4 → 56
Calls
4 calls:
3.0ms
(cbrt.f64 (-.f64 t x))
3.0ms
(cbrt.f64 (-.f64 t x))
3.0ms
(cbrt.f64 (-.f64 t x))
5.0ms
(+.f64 x (*.f64 (*.f64 (-.f64 y z) (/.f64 (*.f64 (cbrt.f64 (-.f64 t x)) (cbrt.f64 (-.f64 t x))) (*.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z))))) (/.f64 (cbrt.f64 (-.f64 t x)) (cbrt.f64 (-.f64 a z)))))

series585.0ms

Counts
4 → 12
Calls
4 calls:
117.0ms
(cbrt.f64 (-.f64 t x))
118.0ms
(cbrt.f64 (-.f64 t x))
118.0ms
(cbrt.f64 (-.f64 t x))
232.0ms
(+.f64 x (*.f64 (*.f64 (-.f64 y z) (/.f64 (*.f64 (cbrt.f64 (-.f64 t x)) (cbrt.f64 (-.f64 t x))) (*.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z))))) (/.f64 (cbrt.f64 (-.f64 t x)) (cbrt.f64 (-.f64 a z)))))

simplify65.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
049691067
149691067

prune73.0ms

Filtered
58 candidates to 68 candidates (-17.2%)
Pruning

14 alts after pruning (12 fresh and 2 done)

PrunedKeptTotal
New67168
Fresh01111
Picked011
Done011
Total671481

Merged error: 3.4b

Counts
81 → 14

localize24.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 (-.f64 t x))
0.6b
(cbrt.f64 (-.f64 t x))
0.6b
(cbrt.f64 (-.f64 t x))
8.4b
(+.f64 x (*.f64 (*.f64 (-.f64 y z) (/.f64 (*.f64 (cbrt.f64 (-.f64 t x)) (cbrt.f64 (-.f64 t x))) (*.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z))))) (/.f64 (*.f64 (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 t x))) (cbrt.f64 (cbrt.f64 (-.f64 t x)))) (cbrt.f64 (cbrt.f64 (-.f64 t x)))) (cbrt.f64 (-.f64 a z)))))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
15×cbrt-prod_binary64
13×*-un-lft-identity_binary64 add-sqr-sqrt_binary64
7×add-cube-cbrt_binary64
6×cbrt-div_binary64 add-log-exp_binary64
4×pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
3×flip3--_binary64 pow1/3_binary64 difference-of-squares_binary64 distribute-lft-out--_binary64 flip--_binary64
1×flip3-+_binary64 +-commutative_binary64 flip-+_binary64 sum-log_binary64
Counts
4 → 56
Calls
4 calls:
3.0ms
(cbrt.f64 (-.f64 t x))
3.0ms
(cbrt.f64 (-.f64 t x))
3.0ms
(cbrt.f64 (-.f64 t x))
6.0ms
(+.f64 x (*.f64 (*.f64 (-.f64 y z) (/.f64 (*.f64 (cbrt.f64 (-.f64 t x)) (cbrt.f64 (-.f64 t x))) (*.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z))))) (/.f64 (*.f64 (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 t x))) (cbrt.f64 (cbrt.f64 (-.f64 t x)))) (cbrt.f64 (cbrt.f64 (-.f64 t x)))) (cbrt.f64 (-.f64 a z)))))

series584.0ms

Counts
4 → 12
Calls
4 calls:
117.0ms
(cbrt.f64 (-.f64 t x))
114.0ms
(cbrt.f64 (-.f64 t x))
120.0ms
(cbrt.f64 (-.f64 t x))
234.0ms
(+.f64 x (*.f64 (*.f64 (-.f64 y z) (/.f64 (*.f64 (cbrt.f64 (-.f64 t x)) (cbrt.f64 (-.f64 t x))) (*.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z))))) (/.f64 (*.f64 (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 t x))) (cbrt.f64 (cbrt.f64 (-.f64 t x)))) (cbrt.f64 (cbrt.f64 (-.f64 t x)))) (cbrt.f64 (-.f64 a z)))))

simplify74.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
050691072

prune89.0ms

Filtered
58 candidates to 68 candidates (-17.2%)
Pruning

14 alts after pruning (11 fresh and 3 done)

PrunedKeptTotal
New67168
Fresh11011
Picked011
Done022
Total681482

Merged error: 3.4b

Counts
82 → 14

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt.f64 (-.f64 a z))
0.5b
(cbrt.f64 (-.f64 a z))
0.9b
(*.f64 (/.f64 (-.f64 y z) (*.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))) (/.f64 (-.f64 t x) (cbrt.f64 (-.f64 a z))))
6.9b
(+.f64 x (*.f64 (/.f64 (-.f64 y z) (*.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))) (/.f64 (-.f64 t x) (cbrt.f64 (-.f64 a z)))))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
75×add-sqr-sqrt_binary64
59×*-un-lft-identity_binary64
52×times-frac_binary64
46×associate-*r*_binary64
37×cbrt-prod_binary64
27×add-cube-cbrt_binary64
25×add-exp-log_binary64
18×cbrt-div_binary64 add-cbrt-cube_binary64
17×associate-*l*_binary64
16×difference-of-squares_binary64 distribute-lft-out--_binary64
10×associate-/r/_binary64
9×flip3--_binary64 flip--_binary64
8×cbrt-unprod_binary64 prod-exp_binary64
7×cbrt-undiv_binary64 div-exp_binary64
6×add-log-exp_binary64 pow1_binary64 unswap-sqr_binary64
5×frac-times_binary64
3×associate-*r/_binary64 associate-*l/_binary64
2×pow1/3_binary64 div-inv_binary64
1×pow-prod-down_binary64 flip3-+_binary64 +-commutative_binary64 flip-+_binary64 sum-log_binary64 *-commutative_binary64
Counts
4 → 134
Calls
4 calls:
3.0ms
(cbrt.f64 (-.f64 a z))
3.0ms
(cbrt.f64 (-.f64 a z))
36.0ms
(*.f64 (/.f64 (-.f64 y z) (*.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))) (/.f64 (-.f64 t x) (cbrt.f64 (-.f64 a z))))
4.0ms
(+.f64 x (*.f64 (/.f64 (-.f64 y z) (*.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))) (/.f64 (-.f64 t x) (cbrt.f64 (-.f64 a z)))))

series750.0ms

Counts
4 → 12
Calls
4 calls:
112.0ms
(cbrt.f64 (-.f64 a z))
114.0ms
(cbrt.f64 (-.f64 a z))
301.0ms
(*.f64 (/.f64 (-.f64 y z) (*.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))) (/.f64 (-.f64 t x) (cbrt.f64 (-.f64 a z))))
222.0ms
(+.f64 x (*.f64 (/.f64 (-.f64 y z) (*.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))) (/.f64 (-.f64 t x) (cbrt.f64 (-.f64 a z)))))

simplify74.0ms

Algorithm
egg-herbie
Counts
146 → 146
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
053313930

prune106.0ms

Filtered
110 candidates to 146 candidates (-32.7%)
Pruning

14 alts after pruning (10 fresh and 4 done)

PrunedKeptTotal
New1451146
Fresh1910
Picked011
Done033
Total14614160

Merged error: 3.4b

Counts
160 → 14

regimes243.0ms

Accuracy

60.2% (3.3b remaining)

Error of 7.1b against oracle of 3.8b and baseline of 12.1b

bsearch2.0ms

simplify4.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
080156
180156

end0.0ms

sample837.0ms

Algorithm
intervals
Results
270.0ms6549×body80valid
79.0ms469×body640valid
48.0ms1215×body80invalid
47.0ms255×body1280valid
46.0ms422×body320valid
25.0ms286×body160valid
8.0ms19×body2560valid

Profiling

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