Details

Time bar (total: 4.5s)

analyze791.0ms

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

sample31.0ms

Algorithm
intervals
Results
16.0ms248×body80valid
1.0ms22×body80invalid
1.0ms5×body640valid
0.0ms2×body1280valid
0.0ms1×body320valid

simplify34.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (31.0ms)

IterNodesCost
0505915

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 4.1b

Counts
2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(tanh.f64 (/.f64 t y))
0.0b
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
0.2b
(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
4.3b
(*.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:
2.0ms
(tanh.f64 (/.f64 t y))
4.0ms
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
7.0ms
(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
12.0ms
(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))

series340.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(tanh.f64 (/.f64 t y))
137.0ms
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
89.0ms
(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
82.0ms
(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))

simplify34.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 0 (22.0ms)

IterNodesCost
053941872

prune108.0ms

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

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New85590
Fresh000
Picked011
Done000
Total85691

Merged error: 0.0b

Counts
91 → 6

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))))))
0.2b
(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
0.3b
(*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
2.9b
(*.f64 y (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
33×associate-*r/_binary64
27×frac-sub_binary64
18×tanh-def-a_binary64 tanh-def-b_binary64 tanh-def-c_binary64
13×add-sqr-sqrt_binary64
11×*-un-lft-identity_binary64 sub-neg_binary64 pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
9×distribute-lft-in_binary64 distribute-rgt-in_binary64
8×add-log-exp_binary64
7×add-cube-cbrt_binary64
6×associate-*r*_binary64 associate-*l*_binary64
4×pow-prod-down_binary64 cbrt-unprod_binary64 prod-exp_binary64 associate-+r+_binary64
3×flip3--_binary64 flip--_binary64
2×difference-of-squares_binary64 distribute-lft-out--_binary64 *-commutative_binary64
1×flip3-+_binary64 diff-log_binary64 unswap-sqr_binary64 +-commutative_binary64 flip-+_binary64 sum-log_binary64
Counts
4 → 103
Calls
4 calls:
5.0ms
(+.f64 x (*.f64 y (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))
7.0ms
(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x 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)))))

series409.0ms

Counts
4 → 12
Calls
4 calls:
134.0ms
(+.f64 x (*.f64 y (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))
89.0ms
(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
107.0ms
(*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
80.0ms
(*.f64 y (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))

simplify53.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
050132453

prune129.0ms

Filtered
88 candidates to 115 candidates (-30.7%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1132115
Fresh044
Picked011
Done011
Total1138121

Merged error: 0.0b

Counts
121 → 8

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 y)
0.6b
(cbrt.f64 y)
1.5b
(*.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (cbrt.f64 y))
1.6b
(*.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)))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
33×associate-*r/_binary64
30×pow1_binary64 add-exp-log_binary64
22×associate-*l/_binary64
18×pow-prod-down_binary64 cbrt-unprod_binary64 add-cbrt-cube_binary64 prod-exp_binary64 frac-sub_binary64
12×tanh-def-a_binary64 tanh-def-b_binary64 tanh-def-c_binary64
9×cbrt-prod_binary64
8×*-un-lft-identity_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64
7×associate-*r*_binary64
4×add-log-exp_binary64
2×flip3--_binary64 pow1/3_binary64 associate-*l*_binary64 flip--_binary64 *-commutative_binary64
Counts
4 → 93
Calls
4 calls:
1.0ms
(cbrt.f64 y)
1.0ms
(cbrt.f64 y)
13.0ms
(*.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (cbrt.f64 y))
23.0ms
(*.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)))

series273.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(cbrt.f64 y)
20.0ms
(cbrt.f64 y)
145.0ms
(*.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (cbrt.f64 y))
89.0ms
(*.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)))

simplify75.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 0 (62.0ms)

IterNodesCost
049521681
149521681

prune103.0ms

Filtered
75 candidates to 105 candidates (-40.0%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New1050105
Fresh055
Picked011
Done022
Total1058113

Merged error: 0.0b

Counts
113 → 8

localize17.0ms

Local error

Found 4 expressions with local error:

2.9b
(*.f64 y (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
7.6b
(cbrt.f64 (*.f64 y (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))
7.6b
(cbrt.f64 (*.f64 y (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))
7.6b
(cbrt.f64 (*.f64 y (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
88×associate-*r/_binary64
36×frac-sub_binary64
33×cbrt-div_binary64
24×tanh-def-a_binary64 tanh-def-b_binary64 tanh-def-c_binary64
9×pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
5×*-un-lft-identity_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64
4×add-log-exp_binary64 sub-neg_binary64 flip3--_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 flip--_binary64
3×pow-prod-down_binary64 cbrt-unprod_binary64 pow1/3_binary64 associate-*l*_binary64 prod-exp_binary64 cbrt-prod_binary64
1×associate-*r*_binary64 *-commutative_binary64
Counts
4 → 93
Calls
4 calls:
13.0ms
(*.f64 y (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
12.0ms
(cbrt.f64 (*.f64 y (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))
15.0ms
(cbrt.f64 (*.f64 y (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))
12.0ms
(cbrt.f64 (*.f64 y (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))

series636.0ms

Counts
4 → 12
Calls
4 calls:
79.0ms
(*.f64 y (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
187.0ms
(cbrt.f64 (*.f64 y (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))
187.0ms
(cbrt.f64 (*.f64 y (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))
183.0ms
(cbrt.f64 (*.f64 y (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))

simplify50.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
050733125

prune135.0ms

Filtered
90 candidates to 105 candidates (-16.7%)
Pruning

9 alts after pruning (5 fresh and 4 done)

PrunedKeptTotal
New1041105
Fresh044
Picked011
Done033
Total1049113

Merged error: 0b

Counts
113 → 9

regimes366.0ms

Accuracy

0% (1.2b remaining)

Error of 2.1b against oracle of 0.8b and baseline of 2.1b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02515
12515

end0.0ms

sample689.0ms

Algorithm
intervals
Results
385.0ms7729×body80valid
25.0ms511×body80invalid
17.0ms94×body640valid
16.0ms64×body1280valid
10.0ms72×body320valid
4.0ms41×body160valid

Profiling

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