Details

Time bar (total: 4.0s)

analyze844.0ms

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
7.8%92%0.2%8
7.8%92%0.2%9
10.9%88.9%0.2%10
34.7%65.1%0.2%11
43.1%56.7%0.2%12
44.2%55.7%0.2%13
49.5%50.3%0.2%14

sample29.0ms

Algorithm
intervals
Results
12.0ms250×body80valid
1.0ms20×body80invalid
1.0ms3×body640valid
0.0ms2×body320valid
0.0ms1×body160valid

simplify38.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
0505915

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 4.7b

Counts
2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
0.0b
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
0.0b
(tanh.f64 (/.f64 t y))
5.1b
(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
18×frac-sub_binary64
13×tanh-def-a_binary64 tanh-def-b_binary64 tanh-def-c_binary64
11×associate-*r/_binary64
9×*-un-lft-identity_binary64 pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 add-sqr-sqrt_binary64
8×add-log-exp_binary64
5×sub-neg_binary64 associate-*r*_binary64 add-cube-cbrt_binary64
3×pow-prod-down_binary64 cbrt-unprod_binary64 prod-exp_binary64
2×flip3--_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 difference-of-squares_binary64 distribute-lft-out--_binary64 flip--_binary64 associate-+r+_binary64
1×flip3-+_binary64 diff-log_binary64 associate-*l*_binary64 +-commutative_binary64 flip-+_binary64 sum-log_binary64 *-commutative_binary64
Counts
4 → 78
Calls
4 calls:
7.0ms
(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
4.0ms
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
2.0ms
(tanh.f64 (/.f64 t y))
12.0ms
(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))

series317.0ms

Counts
4 → 12
Calls
4 calls:
83.0ms
(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
124.0ms
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
30.0ms
(tanh.f64 (/.f64 t y))
80.0ms
(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))

simplify38.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 0 (23.0ms)

IterNodesCost
053941872

prune84.0ms

Filtered
73 candidates to 90 candidates (-23.3%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New83790
Fresh000
Picked101
Done000
Total84791

Merged error: 1.2b

Counts
91 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(+.f64 x (*.f64 y (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))
0.0b
(tanh.f64 (/.f64 t y))
1.0b
(*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
3.2b
(*.f64 y (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
33×associate-*r/_binary64
18×frac-sub_binary64
13×tanh-def-a_binary64 tanh-def-b_binary64 tanh-def-c_binary64
11×pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 add-sqr-sqrt_binary64
10×sub-neg_binary64
9×*-un-lft-identity_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64
7×add-cube-cbrt_binary64
6×add-log-exp_binary64 associate-*r*_binary64 associate-*l*_binary64
4×pow-prod-down_binary64 cbrt-unprod_binary64 prod-exp_binary64 associate-+r+_binary64
2×flip3--_binary64 flip--_binary64 *-commutative_binary64
1×flip3-+_binary64 unswap-sqr_binary64 difference-of-squares_binary64 distribute-lft-out--_binary64 +-commutative_binary64 flip-+_binary64 sum-log_binary64
Counts
4 → 91
Calls
4 calls:
4.0ms
(+.f64 x (*.f64 y (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))
2.0ms
(tanh.f64 (/.f64 t y))
11.0ms
(*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
15.0ms
(*.f64 y (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))

series332.0ms

Counts
4 → 12
Calls
4 calls:
125.0ms
(+.f64 x (*.f64 y (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))
30.0ms
(tanh.f64 (/.f64 t y))
100.0ms
(*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
76.0ms
(*.f64 y (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))

simplify49.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
050291847

prune80.0ms

Filtered
79 candidates to 103 candidates (-30.4%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1003103
Fresh246
Picked011
Done000
Total1028110

Merged error: 1.2b

Counts
110 → 8

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 y)
1.0b
(*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
1.3b
(*.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (cbrt.f64 y))
2.2b
(*.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 y)) (*.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (cbrt.f64 y)))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
44×associate-*r/_binary64
32×pow1_binary64 add-exp-log_binary64
27×frac-sub_binary64
22×associate-*l/_binary64
20×add-cbrt-cube_binary64
19×pow-prod-down_binary64 cbrt-unprod_binary64 prod-exp_binary64
18×tanh-def-a_binary64 tanh-def-b_binary64 tanh-def-c_binary64
13×add-sqr-sqrt_binary64
12×associate-*r*_binary64
11×*-un-lft-identity_binary64
9×add-cube-cbrt_binary64
6×cbrt-prod_binary64
5×associate-*l*_binary64
4×add-log-exp_binary64
3×flip3--_binary64 flip--_binary64 *-commutative_binary64
2×sub-neg_binary64
1×pow1/3_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 unswap-sqr_binary64 difference-of-squares_binary64 distribute-lft-out--_binary64
Counts
4 → 115
Calls
4 calls:
1.0ms
(cbrt.f64 y)
11.0ms
(*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
16.0ms
(*.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (cbrt.f64 y))
20.0ms
(*.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 y)) (*.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (cbrt.f64 y)))

series336.0ms

Counts
4 → 12
Calls
4 calls:
15.0ms
(cbrt.f64 y)
99.0ms
(*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
137.0ms
(*.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (cbrt.f64 y))
84.0ms
(*.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 y)) (*.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (cbrt.f64 y)))

simplify89.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 0 (73.0ms)

IterNodesCost
049492303
149492303

prune91.0ms

Filtered
91 candidates to 127 candidates (-39.6%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New1243127
Fresh156
Picked011
Done011
Total12510135

Merged error: 1.2b

Counts
135 → 10

localize22.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 y)
0.7b
(*.f64 (*.f64 (cbrt.f64 z) (cbrt.f64 z)) (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (cbrt.f64 z)))
1.3b
(*.f64 (*.f64 (*.f64 (cbrt.f64 z) (cbrt.f64 z)) (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (cbrt.f64 z))) (cbrt.f64 y))
2.2b
(*.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 y)) (*.f64 (*.f64 (*.f64 (cbrt.f64 z) (cbrt.f64 z)) (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (cbrt.f64 z))) (cbrt.f64 y)))

rewrite83.0ms

Algorithm
rewrite-expression-head
Rules
90×pow1_binary64 add-exp-log_binary64
65×pow-prod-down_binary64 cbrt-unprod_binary64 prod-exp_binary64
55×associate-*l/_binary64
44×associate-*r/_binary64
39×add-cbrt-cube_binary64
27×frac-sub_binary64
18×tanh-def-a_binary64 tanh-def-b_binary64 tanh-def-c_binary64
8×associate-*r*_binary64
7×*-un-lft-identity_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64
6×cbrt-prod_binary64
4×add-log-exp_binary64
3×flip3--_binary64 associate-*l*_binary64 flip--_binary64 *-commutative_binary64
1×pow1/3_binary64
Counts
4 → 142
Calls
4 calls:
1.0ms
(cbrt.f64 y)
17.0ms
(*.f64 (*.f64 (cbrt.f64 z) (cbrt.f64 z)) (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (cbrt.f64 z)))
22.0ms
(*.f64 (*.f64 (*.f64 (cbrt.f64 z) (cbrt.f64 z)) (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (cbrt.f64 z))) (cbrt.f64 y))
31.0ms
(*.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 y)) (*.f64 (*.f64 (*.f64 (cbrt.f64 z) (cbrt.f64 z)) (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (cbrt.f64 z))) (cbrt.f64 y)))

series356.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(cbrt.f64 y)
103.0ms
(*.f64 (*.f64 (cbrt.f64 z) (cbrt.f64 z)) (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (cbrt.f64 z)))
144.0ms
(*.f64 (*.f64 (*.f64 (cbrt.f64 z) (cbrt.f64 z)) (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (cbrt.f64 z))) (cbrt.f64 y))
85.0ms
(*.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 y)) (*.f64 (*.f64 (*.f64 (cbrt.f64 z) (cbrt.f64 z)) (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (cbrt.f64 z))) (cbrt.f64 y)))

simplify70.0ms

Algorithm
egg-herbie
Counts
154 → 154
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
053582694

prune63.0ms

Filtered
85 candidates to 154 candidates (-81.2%)
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New1540154
Fresh077
Picked011
Done022
Total15410164

Merged error: 1.2b

Counts
164 → 10

regimes228.0ms

Accuracy

0% (1.1b remaining)

Error of 1.9b against oracle of 0.8b and baseline of 1.9b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02515
12515

end0.0ms

sample676.0ms

Algorithm
intervals
Results
379.0ms7776×body80valid
30.0ms532×body80invalid
16.0ms85×body640valid
10.0ms38×body1280valid
8.0ms62×body320valid
3.0ms39×body160valid
0.0ms1×body160invalid

Profiling

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