Details

Time bar (total: 4.4s)

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

sample28.0ms

Algorithm
intervals
Results
8.0ms214×body80valid
2.0ms16×body640valid
1.0ms13×body320valid
1.0ms28×body80invalid
1.0ms5×body1280valid
1.0ms8×body160valid

simplify79.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (76.0ms)

IterNodesCost
0488513
1488513

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 12.4b

Counts
2 → 1

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b
(/.f64 (-.f64 t x) (-.f64 a z))
3.6b
(+.f64 x (*.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z))))
5.0b
(*.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))))
17.0ms
(*.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z)))

series124.0ms

Counts
3 → 9
Calls
3 calls:
16.0ms
(/.f64 (-.f64 t x) (-.f64 a z))
65.0ms
(+.f64 x (*.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z))))
43.0ms
(*.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z)))

simplify48.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
051831602

prune169.0ms

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

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New11513128
Fresh000
Picked101
Done000
Total11613129

Merged error: 3.8b

Counts
129 → 13

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt.f64 (-.f64 a z))
0.5b
(cbrt.f64 (-.f64 a z))
1.5b
(*.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)))))
7.8b
(+.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:
3.0ms
(cbrt.f64 (-.f64 a z))
3.0ms
(cbrt.f64 (-.f64 a z))
26.0ms
(*.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)))))

series277.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(cbrt.f64 (-.f64 a z))
30.0ms
(cbrt.f64 (-.f64 a z))
151.0ms
(*.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)))))
66.0ms
(+.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)))))

simplify50.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
049661618
149661618

prune136.0ms

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

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New95297
Fresh21012
Picked011
Done000
Total9713110

Merged error: 3.5b

Counts
110 → 13

localize27.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt.f64 (-.f64 a z))
0.5b
(cbrt.f64 (-.f64 a z))
0.5b
(cbrt.f64 (-.f64 a z))
7.3b
(+.f64 x (*.f64 (*.f64 (*.f64 (-.f64 y z) (/.f64 (cbrt.f64 (-.f64 t x)) (cbrt.f64 (-.f64 a z)))) (/.f64 (cbrt.f64 (-.f64 t x)) (cbrt.f64 (-.f64 a z)))) (/.f64 (cbrt.f64 (-.f64 t x)) (cbrt.f64 (-.f64 a z)))))

rewrite28.0ms

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:
6.0ms
(cbrt.f64 (-.f64 a z))
6.0ms
(cbrt.f64 (-.f64 a z))
6.0ms
(cbrt.f64 (-.f64 a z))
9.0ms
(+.f64 x (*.f64 (*.f64 (*.f64 (-.f64 y z) (/.f64 (cbrt.f64 (-.f64 t x)) (cbrt.f64 (-.f64 a z)))) (/.f64 (cbrt.f64 (-.f64 t x)) (cbrt.f64 (-.f64 a z)))) (/.f64 (cbrt.f64 (-.f64 t x)) (cbrt.f64 (-.f64 a z)))))

series156.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(cbrt.f64 (-.f64 a z))
29.0ms
(cbrt.f64 (-.f64 a z))
30.0ms
(cbrt.f64 (-.f64 a z))
69.0ms
(+.f64 x (*.f64 (*.f64 (*.f64 (-.f64 y z) (/.f64 (cbrt.f64 (-.f64 t x)) (cbrt.f64 (-.f64 a z)))) (/.f64 (cbrt.f64 (-.f64 t x)) (cbrt.f64 (-.f64 a z)))) (/.f64 (cbrt.f64 (-.f64 t x)) (cbrt.f64 (-.f64 a z)))))

simplify50.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
04982683
14982683

prune102.0ms

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

13 alts after pruning (11 fresh and 2 done)

PrunedKeptTotal
New68068
Fresh01111
Picked011
Done011
Total681381

Merged error: 3.5b

Counts
81 → 13

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt.f64 (-.f64 a z))
0.5b
(cbrt.f64 (-.f64 a z))
1.9b
(*.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))))
8.2b
(+.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)))))

rewrite55.0ms

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))
37.0ms
(*.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)))))

series199.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(cbrt.f64 (-.f64 a z))
28.0ms
(cbrt.f64 (-.f64 a z))
76.0ms
(*.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))))
66.0ms
(+.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)))))

simplify42.0ms

Algorithm
egg-herbie
Counts
146 → 146
Iterations

Useful iterations: 0 (23.0ms)

IterNodesCost
052922530

prune109.0ms

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

14 alts after pruning (11 fresh and 3 done)

PrunedKeptTotal
New1451146
Fresh01010
Picked011
Done022
Total14514159

Merged error: 3.5b

Counts
159 → 14

regimes667.0ms

Accuracy

25.1% (6.5b remaining)

Error of 9.9b against oracle of 3.5b and baseline of 12.1b

bsearch64.0ms

Steps
ItersRangePoint
9
6.993586934865164e-116
5.485377558850572e-107
1.2161147335711477e-113
10
-8.727727116639551e-172
-8.488667879315993e-182
-4.807158068872457e-172

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
07055
17055

end0.0ms

sample802.0ms

Algorithm
intervals
Results
250.0ms6525×body80valid
87.0ms543×body640valid
52.0ms271×body1280valid
51.0ms1181×body80invalid
41.0ms391×body320valid
22.0ms256×body160valid
3.0ms14×body2560valid

Profiling

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