Details

Time bar (total: 4.5s)

analyze1.0s

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

sample32.0ms

Algorithm
intervals
Results
9.0ms216×body80valid
2.0ms16×body640valid
2.0ms47×body80invalid
1.0ms6×body1280valid
1.0ms10×body320valid
1.0ms7×body160valid
0.0ms1×body2560valid

simplify84.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (81.0ms)

IterNodesCost
0488513
1488513

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 14.2b

Counts
2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/.f64 (-.f64 t x) (-.f64 a z))
3.2b
(+.f64 x (*.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z))))
6.2b
(*.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z)))

rewrite43.0ms

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:
9.0ms
(/.f64 (-.f64 t x) (-.f64 a z))
4.0ms
(+.f64 x (*.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z))))
24.0ms
(*.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z)))

series110.0ms

Counts
3 → 9
Calls
3 calls:
14.0ms
(/.f64 (-.f64 t x) (-.f64 a z))
58.0ms
(+.f64 x (*.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z))))
38.0ms
(*.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z)))

simplify50.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
051831602

prune172.0ms

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

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New11315128
Fresh000
Picked101
Done000
Total11415129

Merged error: 3.2b

Counts
129 → 15

localize21.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 (-.f64 a z))
0.6b
(cbrt.f64 (-.f64 a z))
0.7b
(*.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)))))
7.6b
(+.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)))))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
22×add-exp-log_binary64
17×add-sqr-sqrt_binary64
16×cbrt-div_binary64
14×*-un-lft-identity_binary64 add-cbrt-cube_binary64
13×associate-*r*_binary64
10×flip3--_binary64 flip--_binary64 cbrt-prod_binary64
9×cbrt-unprod_binary64 prod-exp_binary64
8×add-cube-cbrt_binary64 associate-/r/_binary64
6×add-log-exp_binary64 pow1_binary64 frac-times_binary64
5×associate-*l*_binary64
4×cbrt-undiv_binary64 div-exp_binary64 associate-*l/_binary64
3×associate-*r/_binary64 difference-of-squares_binary64 distribute-lft-out--_binary64
2×pow1/3_binary64 unswap-sqr_binary64 times-frac_binary64
1×pow-prod-down_binary64 flip3-+_binary64 div-inv_binary64 +-commutative_binary64 flip-+_binary64 sum-log_binary64 *-commutative_binary64
Counts
4 → 85
Calls
4 calls:
4.0ms
(cbrt.f64 (-.f64 a z))
3.0ms
(cbrt.f64 (-.f64 a z))
27.0ms
(*.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)))))
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)))))

series241.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(cbrt.f64 (-.f64 a z))
25.0ms
(cbrt.f64 (-.f64 a z))
130.0ms
(*.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)))))
60.0ms
(+.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)))))

simplify49.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
049661618
149661618

prune135.0ms

Filtered
74 candidates to 97 candidates (-31.1%)
Pruning

15 alts after pruning (14 fresh and 1 done)

PrunedKeptTotal
New95297
Fresh21214
Picked011
Done000
Total9715112

Merged error: 3.1b

Counts
112 → 15

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(/.f64 (-.f64 a z) (-.f64 t x))
0.2b
(/.f64 1 (/.f64 (-.f64 a z) (-.f64 t x)))
4.0b
(+.f64 x (*.f64 (-.f64 y z) (/.f64 1 (/.f64 (-.f64 a z) (-.f64 t x)))))
6.2b
(*.f64 (-.f64 y z) (/.f64 1 (/.f64 (-.f64 a z) (-.f64 t x))))

rewrite94.0ms

Algorithm
rewrite-expression-head
Rules
392×times-frac_binary64
338×add-sqr-sqrt_binary64
326×*-un-lft-identity_binary64
158×add-cube-cbrt_binary64
98×associate-*r*_binary64
83×difference-of-squares_binary64 distribute-lft-out--_binary64
36×associate-/r*_binary64 add-exp-log_binary64
20×add-cbrt-cube_binary64
18×associate-/r/_binary64
15×div-exp_binary64
11×flip3--_binary64 flip--_binary64
10×div-inv_binary64
8×associate-/l*_binary64
7×pow1_binary64 cbrt-undiv_binary64 prod-exp_binary64
6×add-log-exp_binary64
5×associate-*l*_binary64 unswap-sqr_binary64
4×1-exp_binary64 rec-exp_binary64
3×cbrt-unprod_binary64
2×associate-/l/_binary64 clear-num_binary64 frac-2neg_binary64 frac-times_binary64 associate-*l/_binary64
1×pow-prod-down_binary64 flip3-+_binary64 associate-*r/_binary64 div-sub_binary64 inv-pow_binary64 un-div-inv_binary64 +-commutative_binary64 pow-flip_binary64 flip-+_binary64 sum-log_binary64 *-commutative_binary64
Counts
4 → 344
Calls
4 calls:
9.0ms
(/.f64 (-.f64 a z) (-.f64 t x))
13.0ms
(/.f64 1 (/.f64 (-.f64 a z) (-.f64 t x)))
5.0ms
(+.f64 x (*.f64 (-.f64 y z) (/.f64 1 (/.f64 (-.f64 a z) (-.f64 t x)))))
38.0ms
(*.f64 (-.f64 y z) (/.f64 1 (/.f64 (-.f64 a z) (-.f64 t x))))

series172.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(/.f64 (-.f64 a z) (-.f64 t x))
35.0ms
(/.f64 1 (/.f64 (-.f64 a z) (-.f64 t x)))
58.0ms
(+.f64 x (*.f64 (-.f64 y z) (/.f64 1 (/.f64 (-.f64 a z) (-.f64 t x)))))
63.0ms
(*.f64 (-.f64 y z) (/.f64 1 (/.f64 (-.f64 a z) (-.f64 t x))))

simplify74.0ms

Algorithm
egg-herbie
Counts
356 → 356
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
051554965

prune270.0ms

Filtered
204 candidates to 356 candidates (-74.5%)
Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New3524356
Fresh4913
Picked101
Done011
Total35714371

Merged error: 3.0b

Counts
371 → 14

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/.f64 (-.f64 y z) (-.f64 a z))
1.7b
(+.f64 x (*.f64 (/.f64 (-.f64 y z) (-.f64 a z)) (-.f64 t x)))
2.3b
(*.f64 (/.f64 (-.f64 y z) (-.f64 a z)) (-.f64 t x))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
78×add-sqr-sqrt_binary64
73×*-un-lft-identity_binary64
51×times-frac_binary64
31×associate-*l*_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-*r*_binary64 associate-/l*_binary64 flip--_binary64
4×sub-neg_binary64 associate-/r/_binary64
2×associate-/l/_binary64 cbrt-unprod_binary64 cbrt-undiv_binary64 associate-*r/_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 unswap-sqr_binary64 prod-exp_binary64 div-inv_binary64 div-exp_binary64 associate-+r+_binary64 frac-times_binary64
1×pow-prod-down_binary64 flip3-+_binary64 div-sub_binary64 clear-num_binary64 frac-2neg_binary64 +-commutative_binary64 flip-+_binary64 associate-*l/_binary64 sum-log_binary64 *-commutative_binary64
Counts
3 → 123
Calls
3 calls:
8.0ms
(/.f64 (-.f64 y z) (-.f64 a z))
5.0ms
(+.f64 x (*.f64 (/.f64 (-.f64 y z) (-.f64 a z)) (-.f64 t x)))
17.0ms
(*.f64 (/.f64 (-.f64 y z) (-.f64 a z)) (-.f64 t x))

series131.0ms

Counts
3 → 9
Calls
3 calls:
10.0ms
(/.f64 (-.f64 y z) (-.f64 a z))
55.0ms
(+.f64 x (*.f64 (/.f64 (-.f64 y z) (-.f64 a z)) (-.f64 t x)))
65.0ms
(*.f64 (/.f64 (-.f64 y z) (-.f64 a z)) (-.f64 t x))

simplify51.0ms

Algorithm
egg-herbie
Counts
132 → 132
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
053431678

prune97.0ms

Filtered
90 candidates to 132 candidates (-46.7%)
Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New1311132
Fresh11112
Picked101
Done011
Total13313146

Merged error: 3.0b

Counts
146 → 13

regimes641.0ms

Accuracy

52.6% (3.9b remaining)

Error of 7.3b against oracle of 3.5b and baseline of 11.6b

bsearch2.0ms

simplify13.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (12.0ms)

IterNodesCost
050467
150467

end0.0ms

sample827.0ms

Algorithm
intervals
Results
278.0ms6551×body80valid
77.0ms497×body640valid
51.0ms256×body1280valid
47.0ms1209×body80invalid
45.0ms401×body320valid
21.0ms279×body160valid
4.0ms16×body2560valid

Profiling

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