Details

Time bar (total: 5.1s)

analyze1.4s

Algorithm
search
Search
TrueOtherFalseIter
0%99.7%0.3%0
0%99.7%0.3%1
0%99.7%0.3%2
0%99.7%0.3%3
0%99.7%0.3%4
0%99.7%0.3%5
0%99.7%0.3%6
0%99.7%0.3%7
0%99.7%0.3%8
0%99.7%0.3%9
0%99.7%0.3%10
0%99.7%0.3%11
1.1%98.6%0.3%12
1.9%97.8%0.3%13
7%92.7%0.3%14

sample27.0ms

Algorithm
intervals
Results
14.0ms256×body80valid

simplify68.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (65.0ms)

IterNodesCost
0528421

prune13.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 27.2b

Counts
2 → 1

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(*.f64 (+.f64 t y) a)
1.8b
(+.f64 (*.f64 (+.f64 x y) z) (*.f64 (+.f64 t y) a))
1.9b
(-.f64 (+.f64 (*.f64 (+.f64 x y) z) (*.f64 (+.f64 t y) a)) (*.f64 y b))
25.5b
(/.f64 (-.f64 (+.f64 (*.f64 (+.f64 x y) z) (*.f64 (+.f64 t y) a)) (*.f64 y b)) (+.f64 (+.f64 x t) y))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
38×*-un-lft-identity_binary64
18×add-sqr-sqrt_binary64
16×add-cube-cbrt_binary64
15×times-frac_binary64
13×distribute-lft-out_binary64
11×add-log-exp_binary64
10×associate-*l/_binary64
8×add-exp-log_binary64 add-cbrt-cube_binary64
7×flip3-+_binary64 flip-+_binary64
6×pow1_binary64
5×associate-/r*_binary64
4×frac-add_binary64 associate-*l*_binary64
3×associate-*r*_binary64 associate-/l*_binary64
2×associate-/l/_binary64 flip3--_binary64 diff-log_binary64 associate-/r/_binary64 flip--_binary64 sum-log_binary64
1×pow-prod-down_binary64 sub-neg_binary64 cbrt-unprod_binary64 cbrt-undiv_binary64 unswap-sqr_binary64 div-sub_binary64 clear-num_binary64 prod-exp_binary64 frac-2neg_binary64 div-inv_binary64 div-exp_binary64 +-commutative_binary64 associate--l+_binary64 *-commutative_binary64
Counts
4 → 89
Calls
4 calls:
7.0ms
(*.f64 (+.f64 t y) a)
9.0ms
(+.f64 (*.f64 (+.f64 x y) z) (*.f64 (+.f64 t y) a))
11.0ms
(-.f64 (+.f64 (*.f64 (+.f64 x y) z) (*.f64 (+.f64 t y) a)) (*.f64 y b))
16.0ms
(/.f64 (-.f64 (+.f64 (*.f64 (+.f64 x y) z) (*.f64 (+.f64 t y) a)) (*.f64 y b)) (+.f64 (+.f64 x t) y))

series258.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(*.f64 (+.f64 t y) a)
21.0ms
(+.f64 (*.f64 (+.f64 x y) z) (*.f64 (+.f64 t y) a))
39.0ms
(-.f64 (+.f64 (*.f64 (+.f64 x y) z) (*.f64 (+.f64 t y) a)) (*.f64 y b))
191.0ms
(/.f64 (-.f64 (+.f64 (*.f64 (+.f64 x y) z) (*.f64 (+.f64 t y) a)) (*.f64 y b)) (+.f64 (+.f64 x t) y))

simplify49.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
053332056

prune161.0ms

Filtered
78 candidates to 101 candidates (-29.5%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New9011101
Fresh000
Picked101
Done000
Total9111102

Merged error: 7.9b

Counts
102 → 11

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(*.f64 (+.f64 y t) a)
1.8b
(+.f64 (*.f64 (+.f64 x y) z) (*.f64 (+.f64 y t) a))
7.2b
(/.f64 (*.f64 y b) (+.f64 x (+.f64 y t)))
24.1b
(/.f64 (+.f64 (*.f64 (+.f64 x y) z) (*.f64 (+.f64 y t) a)) (+.f64 x (+.f64 y t)))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
50×*-un-lft-identity_binary64
20×add-sqr-sqrt_binary64 times-frac_binary64
19×distribute-lft-out_binary64
18×add-cube-cbrt_binary64 associate-*l/_binary64
13×flip3-+_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 flip-+_binary64
10×associate-/r*_binary64
8×frac-add_binary64
6×associate-/l/_binary64 add-log-exp_binary64 pow1_binary64
4×associate-/r/_binary64 associate-*l*_binary64 associate-/l*_binary64
3×associate-*r*_binary64 cbrt-undiv_binary64 div-exp_binary64
2×cbrt-unprod_binary64 clear-num_binary64 prod-exp_binary64 frac-2neg_binary64 div-inv_binary64
1×pow-prod-down_binary64 unswap-sqr_binary64 +-commutative_binary64 sum-log_binary64 *-commutative_binary64
Counts
4 → 106
Calls
4 calls:
6.0ms
(*.f64 (+.f64 y t) a)
10.0ms
(+.f64 (*.f64 (+.f64 x y) z) (*.f64 (+.f64 y t) a))
8.0ms
(/.f64 (*.f64 y b) (+.f64 x (+.f64 y t)))
15.0ms
(/.f64 (+.f64 (*.f64 (+.f64 x y) z) (*.f64 (+.f64 y t) a)) (+.f64 x (+.f64 y t)))

series128.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(*.f64 (+.f64 y t) a)
20.0ms
(+.f64 (*.f64 (+.f64 x y) z) (*.f64 (+.f64 y t) a))
22.0ms
(/.f64 (*.f64 y b) (+.f64 x (+.f64 y t)))
79.0ms
(/.f64 (+.f64 (*.f64 (+.f64 x y) z) (*.f64 (+.f64 y t) a)) (+.f64 x (+.f64 y t)))

simplify33.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 0 (20.0ms)

IterNodesCost
050631882

prune139.0ms

Filtered
83 candidates to 118 candidates (-42.2%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New1144118
Fresh2810
Picked101
Done000
Total11712129

Merged error: 6.2b

Counts
129 → 12

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt.f64 (+.f64 x (+.f64 y t)))
1.8b
(+.f64 (*.f64 (+.f64 x y) z) (*.f64 (+.f64 y t) a))
4.8b
(*.f64 (/.f64 y (*.f64 (cbrt.f64 (+.f64 x (+.f64 y t))) (cbrt.f64 (+.f64 x (+.f64 y t))))) (/.f64 b (cbrt.f64 (+.f64 x (+.f64 y t)))))
24.1b
(/.f64 (+.f64 (*.f64 (+.f64 x y) z) (*.f64 (+.f64 y t) a)) (+.f64 x (+.f64 y t)))

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
72×*-un-lft-identity_binary64
49×times-frac_binary64
48×add-sqr-sqrt_binary64
32×add-cube-cbrt_binary64
30×associate-*r*_binary64
27×add-exp-log_binary64
24×distribute-lft-out_binary64
22×cbrt-prod_binary64
20×add-cbrt-cube_binary64
19×flip3-+_binary64 flip-+_binary64 associate-*l/_binary64
16×cbrt-div_binary64
15×associate-*l*_binary64
12×associate-/r/_binary64
8×cbrt-unprod_binary64 cbrt-undiv_binary64 frac-add_binary64 prod-exp_binary64 div-exp_binary64
6×associate-/l/_binary64 add-log-exp_binary64 pow1_binary64 unswap-sqr_binary64
5×associate-/r*_binary64 frac-times_binary64
3×associate-*r/_binary64 associate-/l*_binary64 div-inv_binary64
1×pow-prod-down_binary64 pow1/3_binary64 clear-num_binary64 frac-2neg_binary64 +-commutative_binary64 sum-log_binary64 *-commutative_binary64
Counts
4 → 148
Calls
4 calls:
5.0ms
(cbrt.f64 (+.f64 x (+.f64 y t)))
8.0ms
(+.f64 (*.f64 (+.f64 x y) z) (*.f64 (+.f64 y t) a))
36.0ms
(*.f64 (/.f64 y (*.f64 (cbrt.f64 (+.f64 x (+.f64 y t))) (cbrt.f64 (+.f64 x (+.f64 y t))))) (/.f64 b (cbrt.f64 (+.f64 x (+.f64 y t)))))
15.0ms
(/.f64 (+.f64 (*.f64 (+.f64 x y) z) (*.f64 (+.f64 y t) a)) (+.f64 x (+.f64 y t)))

series198.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(cbrt.f64 (+.f64 x (+.f64 y t)))
22.0ms
(+.f64 (*.f64 (+.f64 x y) z) (*.f64 (+.f64 y t) a))
47.0ms
(*.f64 (/.f64 y (*.f64 (cbrt.f64 (+.f64 x (+.f64 y t))) (cbrt.f64 (+.f64 x (+.f64 y t))))) (/.f64 b (cbrt.f64 (+.f64 x (+.f64 y t)))))
82.0ms
(/.f64 (+.f64 (*.f64 (+.f64 x y) z) (*.f64 (+.f64 y t) a)) (+.f64 x (+.f64 y t)))

simplify62.0ms

Algorithm
egg-herbie
Counts
160 → 160
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
050213239

prune172.0ms

Filtered
119 candidates to 160 candidates (-34.5%)
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New1582160
Fresh01111
Picked101
Done000
Total15913172

Merged error: 4.2b

Counts
172 → 13

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(/.f64 1 (+.f64 x (+.f64 y t)))
1.8b
(+.f64 (*.f64 (+.f64 x y) z) (*.f64 (+.f64 t y) a))
1.9b
(-.f64 (+.f64 (*.f64 (+.f64 x y) z) (*.f64 (+.f64 t y) a)) (*.f64 y b))
25.5b
(*.f64 (-.f64 (+.f64 (*.f64 (+.f64 x y) z) (*.f64 (+.f64 t y) a)) (*.f64 y b)) (/.f64 1 (+.f64 x (+.f64 y t))))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
60×*-un-lft-identity_binary64
32×times-frac_binary64
31×add-sqr-sqrt_binary64
24×add-cube-cbrt_binary64
21×distribute-lft-out_binary64 associate-*r*_binary64
17×add-exp-log_binary64
11×add-log-exp_binary64 add-cbrt-cube_binary64
10×associate-*l/_binary64
7×flip3-+_binary64 pow1_binary64 flip-+_binary64
5×associate-/r*_binary64
4×frac-add_binary64 associate-/r/_binary64 prod-exp_binary64 div-exp_binary64
3×flip3--_binary64 associate-*l*_binary64 unswap-sqr_binary64 associate-/l*_binary64 flip--_binary64
2×diff-log_binary64 cbrt-unprod_binary64 1-exp_binary64 cbrt-undiv_binary64 rec-exp_binary64 div-inv_binary64 frac-times_binary64 sum-log_binary64
1×pow-prod-down_binary64 sub-neg_binary64 associate-*r/_binary64 clear-num_binary64 inv-pow_binary64 frac-2neg_binary64 un-div-inv_binary64 +-commutative_binary64 pow-flip_binary64 associate--l+_binary64 *-commutative_binary64
Counts
4 → 117
Calls
4 calls:
7.0ms
(/.f64 1 (+.f64 x (+.f64 y t)))
8.0ms
(+.f64 (*.f64 (+.f64 x y) z) (*.f64 (+.f64 t y) a))
11.0ms
(-.f64 (+.f64 (*.f64 (+.f64 x y) z) (*.f64 (+.f64 t y) a)) (*.f64 y b))
21.0ms
(*.f64 (-.f64 (+.f64 (*.f64 (+.f64 x y) z) (*.f64 (+.f64 t y) a)) (*.f64 y b)) (/.f64 1 (+.f64 x (+.f64 y t))))

series258.0ms

Counts
4 → 12
Calls
4 calls:
12.0ms
(/.f64 1 (+.f64 x (+.f64 y t)))
20.0ms
(+.f64 (*.f64 (+.f64 x y) z) (*.f64 (+.f64 t y) a))
39.0ms
(-.f64 (+.f64 (*.f64 (+.f64 x y) z) (*.f64 (+.f64 t y) a)) (*.f64 y b))
187.0ms
(*.f64 (-.f64 (+.f64 (*.f64 (+.f64 x y) z) (*.f64 (+.f64 t y) a)) (*.f64 y b)) (/.f64 1 (+.f64 x (+.f64 y t))))

simplify48.0ms

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
049802274
149802274

prune85.0ms

Filtered
83 candidates to 129 candidates (-55.4%)
Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New1281129
Fresh11112
Picked011
Done000
Total12913142

Merged error: 4.2b

Counts
142 → 13

regimes884.0ms

Accuracy

20.9% (18.9b remaining)

Error of 22.1b against oracle of 3.2b and baseline of 27.1b

bsearch95.0ms

Steps
ItersRangePoint
10
1.3773472467962003e+50
8.909620923535653e+64
1.826313548779271e+62
9
2.3341006733336798e-222
1.715095260006011e-217
1.0121751081902255e-217
8
-1.0552075425907483e-150
-5.9411797363523896e-154
-1.5917280185250292e-152
10
-6.154848968485751e+74
-2.2848299666872965e+61
-6.056383831737611e+74

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
099140
199140

end0.0ms

sample762.0ms

Algorithm
intervals
Results
479.0ms7993×body80valid
1.0ms5×body640valid
0.0ms1×body1280valid
0.0ms1×body320valid

Profiling

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