Details

Time bar (total: 4.1s)

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%89.4%0.2%12
12.2%87.6%0.2%13
21.8%77.8%0.4%14

sample29.0ms

Algorithm
intervals
Results
8.0ms208×body80valid
3.0ms21×body640valid
2.0ms9×body1280valid
1.0ms30×body80invalid
1.0ms8×body320valid
1.0ms9×body160valid
0.0ms1×body2560valid

simplify65.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (63.0ms)

IterNodesCost
0489213
1489213

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 26.3b

Counts
2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(*.f64 (-.f64 y z) (-.f64 t x))
2.4b
(+.f64 x (/.f64 (*.f64 (-.f64 y z) (-.f64 t x)) (-.f64 a z)))
19.4b
(/.f64 (*.f64 (-.f64 y z) (-.f64 t x)) (-.f64 a z))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
17×*-un-lft-identity_binary64 add-sqr-sqrt_binary64
13×flip3--_binary64 flip--_binary64
10×add-exp-log_binary64 add-cbrt-cube_binary64
8×associate-/l/_binary64 frac-times_binary64
7×add-cube-cbrt_binary64
5×associate-/r*_binary64 add-log-exp_binary64 pow1_binary64 associate-*r*_binary64 associate-*l*_binary64 times-frac_binary64
4×associate-*r/_binary64 difference-of-squares_binary64 distribute-lft-out--_binary64 associate-*l/_binary64
2×sub-neg_binary64 cbrt-unprod_binary64 cbrt-undiv_binary64 associate-/r/_binary64 prod-exp_binary64 div-exp_binary64
1×pow-prod-down_binary64 flip3-+_binary64 distribute-lft-out_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 unswap-sqr_binary64 clear-num_binary64 frac-2neg_binary64 associate-/l*_binary64 div-inv_binary64 +-commutative_binary64 flip-+_binary64 sum-log_binary64 *-commutative_binary64
Counts
3 → 79
Calls
3 calls:
10.0ms
(*.f64 (-.f64 y z) (-.f64 t x))
9.0ms
(+.f64 x (/.f64 (*.f64 (-.f64 y z) (-.f64 t x)) (-.f64 a z)))
13.0ms
(/.f64 (*.f64 (-.f64 y z) (-.f64 t x)) (-.f64 a z))

series107.0ms

Counts
3 → 9
Calls
3 calls:
10.0ms
(*.f64 (-.f64 y z) (-.f64 t x))
57.0ms
(+.f64 x (/.f64 (*.f64 (-.f64 y z) (-.f64 t x)) (-.f64 a z)))
39.0ms
(/.f64 (*.f64 (-.f64 y z) (-.f64 t x)) (-.f64 a z))

simplify45.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
060371081

prune87.0ms

Filtered
67 candidates to 88 candidates (-31.3%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New781088
Fresh000
Picked101
Done000
Total791089

Merged error: 4.1b

Counts
89 → 10

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 (-.f64 a z))
0.6b
(cbrt.f64 (-.f64 a z))
2.3b
(*.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))))
9.0b
(+.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)))))

rewrite60.0ms

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))
40.0ms
(*.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))))
5.0ms
(+.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)))))

series177.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(cbrt.f64 (-.f64 a z))
27.0ms
(cbrt.f64 (-.f64 a z))
63.0ms
(*.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))))
62.0ms
(+.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)))))

simplify39.0ms

Algorithm
egg-herbie
Counts
146 → 146
Iterations

Useful iterations: 0 (24.0ms)

IterNodesCost
052922530

prune101.0ms

Filtered
109 candidates to 146 candidates (-33.9%)
Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New1415146
Fresh189
Picked011
Done000
Total14214156

Merged error: 3.7b

Counts
156 → 14

localize19.0ms

Local error

Found 4 expressions with local error:

2.8b
(cbrt.f64 (/.f64 (-.f64 y z) (*.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))))
2.8b
(cbrt.f64 (/.f64 (-.f64 y z) (*.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))))
2.8b
(cbrt.f64 (/.f64 (-.f64 y z) (*.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))))
7.8b
(+.f64 x (*.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 y z) (*.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z))))) (cbrt.f64 (/.f64 (-.f64 y z) (*.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))))) (*.f64 (/.f64 (-.f64 t x) (cbrt.f64 (-.f64 a z))) (cbrt.f64 (/.f64 (-.f64 y z) (*.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z))))))))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
51×cbrt-prod_binary64
39×cbrt-div_binary64
24×associate-/r/_binary64
18×flip3--_binary64 flip--_binary64
16×*-un-lft-identity_binary64 add-sqr-sqrt_binary64
15×times-frac_binary64
12×frac-times_binary64
10×add-cube-cbrt_binary64
6×add-log-exp_binary64 associate-*r/_binary64 associate-*l/_binary64
4×pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
3×pow1/3_binary64 difference-of-squares_binary64 distribute-lft-out--_binary64 div-inv_binary64
1×flip3-+_binary64 +-commutative_binary64 flip-+_binary64 sum-log_binary64
Counts
4 → 89
Calls
4 calls:
13.0ms
(cbrt.f64 (/.f64 (-.f64 y z) (*.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))))
14.0ms
(cbrt.f64 (/.f64 (-.f64 y z) (*.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))))
15.0ms
(cbrt.f64 (/.f64 (-.f64 y z) (*.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))))
5.0ms
(+.f64 x (*.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 y z) (*.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z))))) (cbrt.f64 (/.f64 (-.f64 y z) (*.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))))) (*.f64 (/.f64 (-.f64 t x) (cbrt.f64 (-.f64 a z))) (cbrt.f64 (/.f64 (-.f64 y z) (*.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z))))))))

series366.0ms

Counts
4 → 12
Calls
4 calls:
102.0ms
(cbrt.f64 (/.f64 (-.f64 y z) (*.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))))
102.0ms
(cbrt.f64 (/.f64 (-.f64 y z) (*.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))))
102.0ms
(cbrt.f64 (/.f64 (-.f64 y z) (*.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))))
60.0ms
(+.f64 x (*.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 y z) (*.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z))))) (cbrt.f64 (/.f64 (-.f64 y z) (*.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))))) (*.f64 (/.f64 (-.f64 t x) (cbrt.f64 (-.f64 a z))) (cbrt.f64 (/.f64 (-.f64 y z) (*.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z))))))))

simplify75.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 0 (58.0ms)

IterNodesCost
049272298
149272298

prune94.0ms

Filtered
80 candidates to 101 candidates (-26.3%)
Pruning

15 alts after pruning (14 fresh and 1 done)

PrunedKeptTotal
New983101
Fresh11112
Picked101
Done011
Total10015115

Merged error: 3.7b

Counts
115 → 15

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(/.f64 (-.f64 t x) (-.f64 a z))
3.1b
(+.f64 x (*.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z))))
4.9b
(*.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z)))

rewrite38.0ms

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))))
19.0ms
(*.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z)))

series111.0ms

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))))
39.0ms
(*.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z)))

simplify46.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
051831602

prune46.0ms

Filtered
83 candidates to 128 candidates (-54.2%)
Pruning

14 alts after pruning (12 fresh and 2 done)

PrunedKeptTotal
New1253128
Fresh4913
Picked011
Done011
Total12914143

Merged error: 3.7b

Counts
143 → 14

regimes559.0ms

Accuracy

38.5% (5.6b remaining)

Error of 9.2b against oracle of 3.6b and baseline of 12.7b

bsearch1.0ms

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
084113
184113

end0.0ms

sample832.0ms

Algorithm
intervals
Results
279.0ms6525×body80valid
77.0ms491×body640valid
52.0ms282×body1280valid
47.0ms405×body320valid
45.0ms1163×body80invalid
22.0ms280×body160valid
4.0ms17×body2560valid

Profiling

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