Details

Time bar (total: 36.9s)

analyze805.0ms

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

sample24.0ms

Algorithm
intervals
Results
12.0ms250×body80valid
1.0ms20×body80invalid
1.0ms5×body640valid
0.0ms1×body320valid

simplify89.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (69.0ms)

IterNodesCost
0576723

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 6.9b

Counts
2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
0.0b
(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
0.0b
(tanh.f64 (/.f64 x y))
7.3b
(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))

rewrite34.0ms

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
4×insert-posit16
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 → 82
Calls
4 calls:
5.0ms
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
8.0ms
(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
2.0ms
(tanh.f64 (/.f64 x y))
15.0ms
(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))

series622.0ms

Counts
4 → 12
Calls
4 calls:
155.0ms
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
198.0ms
(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
117.0ms
(tanh.f64 (/.f64 x y))
152.0ms
(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
03811155
13811155
03811155
13811155
013
113
01011613
11011613
01011613
11011613
0243
1243
02271679
12271679
02271679
12271679
050983
03369
13369
03369
13369
013
113

simplify78.0ms

Counts
94 → 94
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
050042860

prune110.0ms

Filtered
74 candidates to 94 candidates (-27.0%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New86894
Fresh000
Picked101
Done000
Total87895

Merged error: 1.9b

Counts
95 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
0.0b
(tanh.f64 (/.f64 x y))
1.6b
(*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
3.8b
(*.f64 y (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
33×associate-*r/_binary64
27×frac-sub_binary64
19×tanh-def-a_binary64 tanh-def-b_binary64 tanh-def-c_binary64
13×add-sqr-sqrt_binary64
11×*-un-lft-identity_binary64 pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
7×sub-neg_binary64 add-cube-cbrt_binary64
6×add-log-exp_binary64 associate-*r*_binary64 associate-*l*_binary64
5×distribute-lft-in_binary64 distribute-rgt-in_binary64
4×pow-prod-down_binary64 cbrt-unprod_binary64 prod-exp_binary64 insert-posit16
3×flip3--_binary64 flip--_binary64
2×difference-of-squares_binary64 distribute-lft-out--_binary64 *-commutative_binary64
1×diff-log_binary64 unswap-sqr_binary64
Counts
4 → 102
Calls
4 calls:
8.0ms
(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
2.0ms
(tanh.f64 (/.f64 x y))
16.0ms
(*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
16.0ms
(*.f64 y (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))

series643.0ms

Counts
4 → 12
Calls
4 calls:
190.0ms
(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
117.0ms
(tanh.f64 (/.f64 x y))
189.0ms
(*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
147.0ms
(*.f64 y (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
Iterations

Useful iterations: 0 (6.0ms)

IterNodesCost
03271197
13271197
03271197
13271197
013
113
04779
14779
04779
14779
013
113
01011613
11011613
01011613
11011613
0243
1243
02271679
12271679
02271679
12271679
050983

simplify151.0ms

Counts
114 → 114
Iterations

Useful iterations: 0 (72.0ms)

IterNodesCost
053613498

prune138.0ms

Filtered
87 candidates to 114 candidates (-31.0%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New1068114
Fresh527
Picked101
Done000
Total11210122

Merged error: 1.8b

Counts
122 → 10

localize16.0ms

Local error

Found 4 expressions with local error:

2.6b
(*.f64 z (tanh.f64 (/.f64 t y)))
3.0b
(*.f64 z (neg.f64 (tanh.f64 (/.f64 x y))))
4.8b
(*.f64 y (*.f64 z (tanh.f64 (/.f64 t y))))
5.4b
(*.f64 y (*.f64 z (neg.f64 (tanh.f64 (/.f64 x y)))))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
18×pow1_binary64 associate-*r/_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
16×add-sqr-sqrt_binary64
15×associate-*r*_binary64
12×*-un-lft-identity_binary64 add-cube-cbrt_binary64 associate-*l*_binary64
8×pow-prod-down_binary64 cbrt-unprod_binary64 prod-exp_binary64
6×distribute-neg-frac_binary64
4×add-log-exp_binary64 tanh-def-a_binary64 tanh-def-b_binary64 insert-posit16 tanh-def-c_binary64 *-commutative_binary64
3×distribute-rgt-neg-out_binary64 distribute-lft-neg-in_binary64 distribute-rgt-neg-in_binary64
2×unswap-sqr_binary64
1×neg-mul-1_binary64
Counts
4 → 97
Calls
4 calls:
6.0ms
(*.f64 z (tanh.f64 (/.f64 t y)))
8.0ms
(*.f64 z (neg.f64 (tanh.f64 (/.f64 x y))))
8.0ms
(*.f64 y (*.f64 z (tanh.f64 (/.f64 t y))))
9.0ms
(*.f64 y (*.f64 z (neg.f64 (tanh.f64 (/.f64 x y)))))

series548.0ms

Counts
4 → 12
Calls
4 calls:
138.0ms
(*.f64 z (tanh.f64 (/.f64 t y)))
154.0ms
(*.f64 z (neg.f64 (tanh.f64 (/.f64 x y))))
119.0ms
(*.f64 y (*.f64 z (tanh.f64 (/.f64 t y))))
136.0ms
(*.f64 y (*.f64 z (neg.f64 (tanh.f64 (/.f64 x y)))))
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
03701183
13701183
03701183
13701183
013
113
03421171
13421171
03421171
13421171
013
113
03769
13769
03769
13769
013
113
03399
13399
03399
13399
013
113

simplify100.0ms

Counts
109 → 109
Iterations

Useful iterations: 0 (71.0ms)

IterNodesCost
049881360
149881360

prune86.0ms

Filtered
75 candidates to 109 candidates (-45.3%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New1081109
Fresh189
Picked011
Done000
Total10910119

Merged error: 1.8b

Counts
119 → 10

localize16.0ms

Local error

Found 4 expressions with local error:

3.8b
(*.f64 y (*.f64 (*.f64 (cbrt.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (cbrt.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))) (cbrt.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))))
5.0b
(cbrt.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
5.0b
(cbrt.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
5.0b
(cbrt.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))

rewrite921.0ms

Algorithm
rewrite-expression-head
Rules
6655×associate-*r/_binary64
4785×cbrt-div_binary64
3915×frac-sub_binary64
3025×frac-times_binary64
2610×tanh-def-a_binary64 tanh-def-b_binary64 tanh-def-c_binary64
435×flip3--_binary64 flip--_binary64
275×associate-*l/_binary64
13×pow1_binary64 add-exp-log_binary64
9×add-cbrt-cube_binary64
6×pow-prod-down_binary64 cbrt-unprod_binary64 prod-exp_binary64
5×*-un-lft-identity_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64
4×add-log-exp_binary64 insert-posit16
3×pow1/3_binary64 associate-*l*_binary64 cbrt-prod_binary64
1×associate-*r*_binary64 *-commutative_binary64
Counts
4 → 1812
Calls
4 calls:
256.0ms
(*.f64 y (*.f64 (*.f64 (cbrt.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (cbrt.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))) (cbrt.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))))
12.0ms
(cbrt.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
12.0ms
(cbrt.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
14.0ms
(cbrt.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))

series656.0ms

Counts
4 → 12
Calls
4 calls:
201.0ms
(*.f64 y (*.f64 (*.f64 (cbrt.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (cbrt.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))) (cbrt.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))))
152.0ms
(cbrt.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
153.0ms
(cbrt.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
150.0ms
(cbrt.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
03191640
13191640
03191640
13191640
011533
111533
03191640
13191640
03191640
13191640
011533
111533
03191640
13191640
03191640
13191640
011533
111533
05211227
15211227
05211227
15211227
013
113

simplify2.3s

Counts
1824 → 1824
Iterations

Useful iterations: 0 (236.0ms)

IterNodesCost
05028299296

prune28.7s

Filtered
1685 candidates to 1824 candidates (-8.2%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New182401824
Fresh088
Picked011
Done011
Total1824101834

Merged error: 1.8b

Counts
1834 → 10

regimes144.0ms

Accuracy

0% (0.6b remaining)

Error of 2.1b against oracle of 1.5b and baseline of 2.1b

bsearch0.0ms

simplify7.0ms

Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
06229
16229

end0.0ms

sample681.0ms

Algorithm
intervals
Results
384.0ms7794×body80valid
24.0ms506×body80invalid
17.0ms98×body640valid
8.0ms55×body320valid
7.0ms27×body1280valid
2.0ms26×body160valid

Profiling

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