Details

Time bar (total: 4.3s)

analyze1.1s

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

sample30.0ms

Algorithm
intervals
Results
8.0ms214×body80valid
2.0ms14×body1280valid
2.0ms16×body640valid
1.0ms38×body80invalid
1.0ms9×body320valid
0.0ms3×body160valid

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: 16.3b

Counts
2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/.f64 (-.f64 t x) (-.f64 a z))
1.7b
(+.f64 x (*.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z))))
7.1b
(*.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z)))

rewrite44.0ms

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))
9.0ms
(+.f64 x (*.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z))))
20.0ms
(*.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z)))

series114.0ms

Counts
3 → 9
Calls
3 calls:
15.0ms
(/.f64 (-.f64 t x) (-.f64 a z))
60.0ms
(+.f64 x (*.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z))))
39.0ms
(*.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z)))

simplify47.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
051831602

prune158.0ms

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

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New11711128
Fresh000
Picked011
Done000
Total11712129

Merged error: 3.8b

Counts
129 → 12

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 (-.f64 a z))
0.6b
(cbrt.f64 (-.f64 a z))
0.6b
(*.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)))))
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)))))

rewrite47.0ms

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:
3.0ms
(cbrt.f64 (-.f64 a z))
3.0ms
(cbrt.f64 (-.f64 a z))
31.0ms
(*.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)))))

series248.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(cbrt.f64 (-.f64 a z))
26.0ms
(cbrt.f64 (-.f64 a z))
137.0ms
(*.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)))))
59.0ms
(+.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)))))

simplify56.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
049661618
149661618

prune143.0ms

Filtered
75 candidates to 97 candidates (-29.3%)
Pruning

13 alts after pruning (11 fresh and 2 done)

PrunedKeptTotal
New95297
Fresh1910
Picked011
Done011
Total9613109

Merged error: 3.7b

Counts
109 → 13

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(/.f64 (-.f64 a z) (-.f64 t x))
0.8b
(/.f64 1 (/.f64 (-.f64 a z) (-.f64 t x)))
3.7b
(+.f64 x (*.f64 (-.f64 y z) (/.f64 1 (/.f64 (-.f64 a z) (-.f64 t x)))))
7.1b
(*.f64 (-.f64 y z) (/.f64 1 (/.f64 (-.f64 a z) (-.f64 t x))))

rewrite90.0ms

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))
16.0ms
(/.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))))

series180.0ms

Counts
4 → 12
Calls
4 calls:
15.0ms
(/.f64 (-.f64 a z) (-.f64 t x))
38.0ms
(/.f64 1 (/.f64 (-.f64 a z) (-.f64 t x)))
56.0ms
(+.f64 x (*.f64 (-.f64 y z) (/.f64 1 (/.f64 (-.f64 a z) (-.f64 t x)))))
71.0ms
(*.f64 (-.f64 y z) (/.f64 1 (/.f64 (-.f64 a z) (-.f64 t x))))

simplify76.0ms

Algorithm
egg-herbie
Counts
356 → 356
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
051554965

prune263.0ms

Filtered
207 candidates to 356 candidates (-72.0%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New3524356
Fresh3710
Picked101
Done202
Total35811369

Merged error: 3.7b

Counts
369 → 11

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/.f64 (-.f64 y z) (-.f64 a z))
1.0b
(+.f64 x (*.f64 (/.f64 (-.f64 y z) (-.f64 a z)) (-.f64 t x)))
1.1b
(*.f64 (/.f64 (-.f64 y z) (-.f64 a z)) (-.f64 t x))

rewrite40.0ms

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:
9.0ms
(/.f64 (-.f64 y z) (-.f64 a z))
7.0ms
(+.f64 x (*.f64 (/.f64 (-.f64 y z) (-.f64 a z)) (-.f64 t x)))
18.0ms
(*.f64 (/.f64 (-.f64 y z) (-.f64 a z)) (-.f64 t x))

series135.0ms

Counts
3 → 9
Calls
3 calls:
11.0ms
(/.f64 (-.f64 y z) (-.f64 a z))
58.0ms
(+.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))

simplify52.0ms

Algorithm
egg-herbie
Counts
132 → 132
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
053431678

prune93.0ms

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

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New1302132
Fresh3710
Picked011
Done000
Total13310143

Merged error: 3.7b

Counts
143 → 10

regimes471.0ms

Accuracy

9% (7.2b remaining)

Error of 10.7b against oracle of 3.4b and baseline of 11.4b

bsearch64.0ms

Steps
ItersRangePoint
11
5.323803627050614e-297
3.1029864642274746e-270
2.710508130171763e-285
9
-4.697183441942338e-66
-2.0069064516930413e-75
-3.0798685194927104e-74

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
08235
18235

end0.0ms

sample800.0ms

Algorithm
intervals
Results
265.0ms6587×body80valid
71.0ms486×body640valid
53.0ms285×body1280valid
44.0ms388×body320valid
43.0ms1175×body80invalid
17.0ms243×body160valid
2.0ms11×body2560valid

Profiling

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