Details

Time bar (total: 4.4s)

analyze938.0ms

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
6.2%93.6%0.2%9
9.4%90.4%0.2%10
14%83.4%2.5%11
18.7%78.2%3.1%12
28.1%65.5%6.4%13
30.7%59.4%9.9%14

sample36.0ms

Algorithm
intervals
Results
11.0ms256×body80valid
9.0ms213×body80invalid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
04815
14815

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 32.8b

Counts
2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t)))
18.7b
(/.f64 (*.f64 z z) (*.f64 t t))
22.5b
(/.f64 (*.f64 x x) (*.f64 y y))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
27×add-exp-log_binary64 add-cbrt-cube_binary64
8×cbrt-unprod_binary64 cbrt-undiv_binary64 prod-exp_binary64 div-exp_binary64
5×*-un-lft-identity_binary64 add-log-exp_binary64
3×pow1_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64
2×associate-/r*_binary64 clear-num_binary64 frac-2neg_binary64 associate-/l*_binary64 times-frac_binary64 div-inv_binary64
1×flip3-+_binary64 distribute-lft-out_binary64 frac-add_binary64 +-commutative_binary64 flip-+_binary64 sum-log_binary64
Counts
3 → 55
Calls
3 calls:
10.0ms
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t)))
6.0ms
(/.f64 (*.f64 z z) (*.f64 t t))
7.0ms
(/.f64 (*.f64 x x) (*.f64 y y))

series42.0ms

Counts
3 → 9
Calls
3 calls:
26.0ms
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t)))
6.0ms
(/.f64 (*.f64 z z) (*.f64 t t))
10.0ms
(/.f64 (*.f64 x x) (*.f64 y y))

simplify50.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
04972598
14972598

prune89.0ms

Filtered
37 candidates to 64 candidates (-73.0%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New55964
Fresh000
Picked101
Done000
Total56965

Merged error: 3.2b

Counts
65 → 9

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (*.f64 z z) (*.f64 t t)))
0.3b
(*.f64 (/.f64 x y) (/.f64 x y))
18.7b
(/.f64 (*.f64 z z) (*.f64 t t))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt_binary64
41×times-frac_binary64
31×*-un-lft-identity_binary64 add-cube-cbrt_binary64
27×add-exp-log_binary64 add-cbrt-cube_binary64
13×swap-sqr_binary64 associate-*r*_binary64 associate-*l*_binary64
10×pow1_binary64
8×cbrt-unprod_binary64 cbrt-undiv_binary64 prod-exp_binary64 div-exp_binary64
5×add-log-exp_binary64 div-inv_binary64
4×unswap-sqr_binary64
3×frac-add_binary64
2×associate-*r/_binary64 frac-times_binary64 associate-*l/_binary64
1×pow-prod-down_binary64 flip3-+_binary64 associate-/r*_binary64 pow-prod-up_binary64 pow-plus_binary64 clear-num_binary64 frac-2neg_binary64 associate-/l*_binary64 pow-sqr_binary64 +-commutative_binary64 flip-+_binary64 pow2_binary64 sum-log_binary64 *-commutative_binary64
Counts
3 → 102
Calls
3 calls:
9.0ms
(+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (*.f64 z z) (*.f64 t t)))
11.0ms
(*.f64 (/.f64 x y) (/.f64 x y))
7.0ms
(/.f64 (*.f64 z z) (*.f64 t t))

series39.0ms

Counts
3 → 9
Calls
3 calls:
27.0ms
(+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (*.f64 z z) (*.f64 t t)))
6.0ms
(*.f64 (/.f64 x y) (/.f64 x y))
6.0ms
(/.f64 (*.f64 z z) (*.f64 t t))

simplify45.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
05249970

prune143.0ms

Filtered
70 candidates to 111 candidates (-58.6%)
Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New10011111
Fresh448
Picked101
Done000
Total10515120

Merged error: 0.1b

Counts
120 → 15

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (*.f64 (/.f64 z t) (/.f64 z t)))
0.3b
(*.f64 (/.f64 x y) (/.f64 x y))
0.3b
(*.f64 (/.f64 z t) (/.f64 z t))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
83×add-sqr-sqrt_binary64
80×times-frac_binary64
59×*-un-lft-identity_binary64 add-cube-cbrt_binary64
27×add-exp-log_binary64 add-cbrt-cube_binary64
26×swap-sqr_binary64 associate-*r*_binary64 associate-*l*_binary64
17×pow1_binary64
9×frac-add_binary64
8×cbrt-unprod_binary64 cbrt-undiv_binary64 associate-*r/_binary64 unswap-sqr_binary64 prod-exp_binary64 div-inv_binary64 div-exp_binary64 frac-times_binary64 associate-*l/_binary64
5×add-log-exp_binary64
2×pow-prod-down_binary64 pow-prod-up_binary64 pow-plus_binary64 pow-sqr_binary64 pow2_binary64 *-commutative_binary64
1×flip3-+_binary64 +-commutative_binary64 flip-+_binary64 sum-log_binary64
Counts
3 → 154
Calls
3 calls:
8.0ms
(+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (*.f64 (/.f64 z t) (/.f64 z t)))
10.0ms
(*.f64 (/.f64 x y) (/.f64 x y))
10.0ms
(*.f64 (/.f64 z t) (/.f64 z t))

series42.0ms

Counts
3 → 9
Calls
3 calls:
26.0ms
(+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (*.f64 (/.f64 z t) (/.f64 z t)))
9.0ms
(*.f64 (/.f64 x y) (/.f64 x y))
6.0ms
(*.f64 (/.f64 z t) (/.f64 z t))

simplify55.0ms

Algorithm
egg-herbie
Counts
163 → 163
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
049901511
149901511

prune216.0ms

Filtered
103 candidates to 163 candidates (-58.3%)
Pruning

16 alts after pruning (16 fresh and 0 done)

PrunedKeptTotal
New1576163
Fresh41014
Picked101
Done000
Total16216178

Merged error: 0.0b

Counts
178 → 16

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod_binary64
23×add-sqr-sqrt_binary64
15×*-un-lft-identity_binary64 add-cube-cbrt_binary64
11×pow1_binary64
9×pow1/3_binary64
6×swap-sqr_binary64 associate-*r*_binary64 add-exp-log_binary64 associate-*l*_binary64
4×add-log-exp_binary64 add-cbrt-cube_binary64 unswap-sqr_binary64
2×pow-prod-down_binary64 pow-prod-up_binary64 pow-sqr_binary64
1×cbrt-unprod_binary64 pow-plus_binary64 prod-exp_binary64 pow2_binary64 *-commutative_binary64
Counts
4 → 73
Calls
4 calls:
6.0ms
(*.f64 (cbrt.f64 z) (cbrt.f64 z))
1.0ms
(cbrt.f64 z)
1.0ms
(cbrt.f64 z)
1.0ms
(cbrt.f64 z)

series62.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(*.f64 (cbrt.f64 z) (cbrt.f64 z))
14.0ms
(cbrt.f64 z)
17.0ms
(cbrt.f64 z)
14.0ms
(cbrt.f64 z)

simplify46.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
04940374
14940374

prune73.0ms

Filtered
65 candidates to 85 candidates (-30.8%)
Pruning

17 alts after pruning (16 fresh and 1 done)

PrunedKeptTotal
New84185
Fresh01515
Picked011
Done000
Total8417101

Merged error: 0.0b

Counts
101 → 17

regimes1.4s

Accuracy

0% (0.9b remaining)

Error of 0.9b against oracle of 0.1b and baseline of 0.9b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01929
11929

end0.0ms

sample990.0ms

Algorithm
intervals
Results
362.0ms8000×body80valid
264.0ms5846×body80invalid

Profiling

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