Details

Time bar (total: 4.7s)

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

sample31.0ms

Algorithm
intervals
Results
8.0ms209×body80valid
2.0ms18×body640valid
2.0ms57×body80invalid
1.0ms7×body1280valid
1.0ms13×body160valid
1.0ms9×body320valid

simplify85.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (82.0ms)

IterNodesCost
0488513
1488513

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 12.2b

Counts
2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/.f64 (-.f64 t x) (-.f64 a z))
3.0b
(*.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z)))
3.6b
(+.f64 x (*.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z))))

rewrite40.0ms

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

series123.0ms

Counts
3 → 9
Calls
3 calls:
15.0ms
(/.f64 (-.f64 t x) (-.f64 a z))
43.0ms
(*.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z)))
64.0ms
(+.f64 x (*.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z))))

simplify50.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
051831602

prune173.0ms

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

17 alts after pruning (16 fresh and 1 done)

PrunedKeptTotal
New11216128
Fresh000
Picked011
Done000
Total11217129

Merged error: 4.6b

Counts
129 → 17

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(/.f64 1 (-.f64 a z))
0.3b
(*.f64 (-.f64 t x) (/.f64 1 (-.f64 a z)))
3.0b
(*.f64 (-.f64 y z) (*.f64 (-.f64 t x) (/.f64 1 (-.f64 a z))))
5.1b
(+.f64 x (*.f64 (-.f64 y z) (*.f64 (-.f64 t x) (/.f64 1 (-.f64 a z)))))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
50×add-sqr-sqrt_binary64
44×*-un-lft-identity_binary64
32×add-exp-log_binary64 times-frac_binary64
25×add-cube-cbrt_binary64
22×associate-*r*_binary64
20×add-cbrt-cube_binary64 frac-times_binary64
17×flip3--_binary64 flip--_binary64
13×prod-exp_binary64
12×pow1_binary64
10×associate-*r/_binary64 associate-*l*_binary64 associate-*l/_binary64
9×difference-of-squares_binary64 distribute-lft-out--_binary64
7×cbrt-unprod_binary64
6×add-log-exp_binary64 div-exp_binary64
5×associate-/r*_binary64
4×pow-prod-down_binary64 associate-/r/_binary64 un-div-inv_binary64
3×1-exp_binary64 cbrt-undiv_binary64 unswap-sqr_binary64 rec-exp_binary64 associate-/l*_binary64
2×div-inv_binary64 *-commutative_binary64
1×flip3-+_binary64 clear-num_binary64 inv-pow_binary64 frac-2neg_binary64 +-commutative_binary64 pow-flip_binary64 flip-+_binary64 sum-log_binary64
Counts
4 → 146
Calls
4 calls:
6.0ms
(/.f64 1 (-.f64 a z))
14.0ms
(*.f64 (-.f64 t x) (/.f64 1 (-.f64 a z)))
17.0ms
(*.f64 (-.f64 y z) (*.f64 (-.f64 t x) (/.f64 1 (-.f64 a z))))
5.0ms
(+.f64 x (*.f64 (-.f64 y z) (*.f64 (-.f64 t x) (/.f64 1 (-.f64 a z)))))

series128.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(/.f64 1 (-.f64 a z))
15.0ms
(*.f64 (-.f64 t x) (/.f64 1 (-.f64 a z)))
44.0ms
(*.f64 (-.f64 y z) (*.f64 (-.f64 t x) (/.f64 1 (-.f64 a z))))
64.0ms
(+.f64 x (*.f64 (-.f64 y z) (*.f64 (-.f64 t x) (/.f64 1 (-.f64 a z)))))

simplify50.0ms

Algorithm
egg-herbie
Counts
158 → 158
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
057171769

prune151.0ms

Filtered
94 candidates to 158 candidates (-68.1%)
Pruning

17 alts after pruning (15 fresh and 2 done)

PrunedKeptTotal
New1562158
Fresh21315
Picked011
Done011
Total15817175

Merged error: 4.6b

Counts
175 → 17

localize13.0ms

Local error

Found 4 expressions with local error:

4.7b
(cbrt.f64 (/.f64 (-.f64 t x) (-.f64 a z)))
4.7b
(cbrt.f64 (/.f64 (-.f64 t x) (-.f64 a z)))
4.7b
(cbrt.f64 (/.f64 (-.f64 t x) (-.f64 a z)))
8.0b
(+.f64 x (*.f64 (*.f64 (-.f64 y z) (*.f64 (cbrt.f64 (/.f64 (-.f64 t x) (-.f64 a z))) (cbrt.f64 (/.f64 (-.f64 t x) (-.f64 a z))))) (cbrt.f64 (/.f64 (-.f64 t x) (-.f64 a z)))))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
97×*-un-lft-identity_binary64 add-sqr-sqrt_binary64
93×cbrt-prod_binary64
75×times-frac_binary64
37×add-cube-cbrt_binary64
30×difference-of-squares_binary64 distribute-lft-out--_binary64
6×add-log-exp_binary64 associate-/r/_binary64
4×pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
3×cbrt-div_binary64 flip3--_binary64 pow1/3_binary64 div-inv_binary64 flip--_binary64
1×flip3-+_binary64 +-commutative_binary64 flip-+_binary64 sum-log_binary64
Counts
4 → 131
Calls
4 calls:
9.0ms
(cbrt.f64 (/.f64 (-.f64 t x) (-.f64 a z)))
7.0ms
(cbrt.f64 (/.f64 (-.f64 t x) (-.f64 a z)))
7.0ms
(cbrt.f64 (/.f64 (-.f64 t x) (-.f64 a z)))
4.0ms
(+.f64 x (*.f64 (*.f64 (-.f64 y z) (*.f64 (cbrt.f64 (/.f64 (-.f64 t x) (-.f64 a z))) (cbrt.f64 (/.f64 (-.f64 t x) (-.f64 a z))))) (cbrt.f64 (/.f64 (-.f64 t x) (-.f64 a z)))))

series227.0ms

Counts
4 → 12
Calls
4 calls:
54.0ms
(cbrt.f64 (/.f64 (-.f64 t x) (-.f64 a z)))
55.0ms
(cbrt.f64 (/.f64 (-.f64 t x) (-.f64 a z)))
57.0ms
(cbrt.f64 (/.f64 (-.f64 t x) (-.f64 a z)))
61.0ms
(+.f64 x (*.f64 (*.f64 (-.f64 y z) (*.f64 (cbrt.f64 (/.f64 (-.f64 t x) (-.f64 a z))) (cbrt.f64 (/.f64 (-.f64 t x) (-.f64 a z))))) (cbrt.f64 (/.f64 (-.f64 t x) (-.f64 a z)))))

simplify77.0ms

Algorithm
egg-herbie
Counts
143 → 143
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
049332311
149332311

prune159.0ms

Filtered
106 candidates to 143 candidates (-34.9%)
Pruning

18 alts after pruning (15 fresh and 3 done)

PrunedKeptTotal
New1421143
Fresh01414
Picked011
Done022
Total14218160

Merged error: 4.6b

Counts
160 → 18

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt.f64 (-.f64 y z))
1.6b
(*.f64 (/.f64 (-.f64 t x) (-.f64 a z)) (cbrt.f64 (-.f64 y z)))
1.7b
(*.f64 (*.f64 (cbrt.f64 (-.f64 y z)) (cbrt.f64 (-.f64 y z))) (*.f64 (/.f64 (-.f64 t x) (-.f64 a z)) (cbrt.f64 (-.f64 y z))))
8.5b
(+.f64 x (*.f64 (*.f64 (cbrt.f64 (-.f64 y z)) (cbrt.f64 (-.f64 y z))) (*.f64 (/.f64 (-.f64 t x) (-.f64 a z)) (cbrt.f64 (-.f64 y z)))))

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
114×cbrt-div_binary64
84×frac-times_binary64
58×flip3--_binary64 flip--_binary64
52×add-sqr-sqrt_binary64
42×*-un-lft-identity_binary64
37×associate-*r/_binary64
32×associate-*l*_binary64
30×add-exp-log_binary64 associate-*l/_binary64
27×times-frac_binary64
18×pow1_binary64 add-cube-cbrt_binary64 add-cbrt-cube_binary64
15×cbrt-unprod_binary64 prod-exp_binary64
12×difference-of-squares_binary64 distribute-lft-out--_binary64 cbrt-prod_binary64
9×pow-prod-down_binary64 associate-*r*_binary64
6×add-log-exp_binary64
4×unswap-sqr_binary64
3×cbrt-undiv_binary64 div-exp_binary64
2×associate-/r/_binary64 *-commutative_binary64
1×flip3-+_binary64 pow1/3_binary64 div-inv_binary64 +-commutative_binary64 flip-+_binary64 sum-log_binary64
Counts
4 → 166
Calls
4 calls:
3.0ms
(cbrt.f64 (-.f64 y z))
18.0ms
(*.f64 (/.f64 (-.f64 t x) (-.f64 a z)) (cbrt.f64 (-.f64 y z)))
25.0ms
(*.f64 (*.f64 (cbrt.f64 (-.f64 y z)) (cbrt.f64 (-.f64 y z))) (*.f64 (/.f64 (-.f64 t x) (-.f64 a z)) (cbrt.f64 (-.f64 y z))))
5.0ms
(+.f64 x (*.f64 (*.f64 (cbrt.f64 (-.f64 y z)) (cbrt.f64 (-.f64 y z))) (*.f64 (/.f64 (-.f64 t x) (-.f64 a z)) (cbrt.f64 (-.f64 y z)))))

series212.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(cbrt.f64 (-.f64 y z))
76.0ms
(*.f64 (/.f64 (-.f64 t x) (-.f64 a z)) (cbrt.f64 (-.f64 y z)))
44.0ms
(*.f64 (*.f64 (cbrt.f64 (-.f64 y z)) (cbrt.f64 (-.f64 y z))) (*.f64 (/.f64 (-.f64 t x) (-.f64 a z)) (cbrt.f64 (-.f64 y z))))
65.0ms
(+.f64 x (*.f64 (*.f64 (cbrt.f64 (-.f64 y z)) (cbrt.f64 (-.f64 y z))) (*.f64 (/.f64 (-.f64 t x) (-.f64 a z)) (cbrt.f64 (-.f64 y z)))))

simplify46.0ms

Algorithm
egg-herbie
Counts
178 → 178
Iterations

Useful iterations: 0 (23.0ms)

IterNodesCost
051573793

prune116.0ms

Filtered
109 candidates to 178 candidates (-63.3%)
Pruning

19 alts after pruning (15 fresh and 4 done)

PrunedKeptTotal
New1771178
Fresh01414
Picked011
Done033
Total17719196

Merged error: 4.2b

Counts
196 → 19

regimes846.0ms

Accuracy

47.5% (6.0b remaining)

Error of 9.1b against oracle of 3.1b and baseline of 14.6b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
06457
16457

end0.0ms

sample782.0ms

Algorithm
intervals
Results
267.0ms6569×body80valid
66.0ms479×body640valid
45.0ms1157×body80invalid
43.0ms250×body1280valid
42.0ms407×body320valid
19.0ms280×body160valid
3.0ms15×body2560valid

Profiling

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