Details

Time bar (total: 9.3s)

analyze818.0ms

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
11.0ms246×body128valid
1.0ms5×body1024valid
1.0ms22×body128invalid
0.0ms3×body256valid
0.0ms2×body512valid

simplify43.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
0523523

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 3.8b

Counts
2 → 1

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))
0.0b
(tanh.f64 (/.f64 t y))
3.9b
(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
18×frac-sub_binary64
14×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
6×add-log-exp_binary64
5×associate-*r*_binary64 add-cube-cbrt_binary64
3×pow-prod-down_binary64 sub-neg_binary64 cbrt-unprod_binary64 prod-exp_binary64
2×flip3--_binary64 difference-of-squares_binary64 distribute-lft-out--_binary64 flip--_binary64
1×diff-log_binary64 distribute-lft-in_binary64 associate-*l*_binary64 distribute-rgt-in_binary64 *-commutative_binary64
Counts
4 → 75
Calls
4 calls:
7.0ms
(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
2.0ms
(tanh.f64 (/.f64 x y))
2.0ms
(tanh.f64 (/.f64 t y))
13.0ms
(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))

series1.2s

Counts
4 → 12
Calls
4 calls:
456.0ms
(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
165.0ms
(tanh.f64 (/.f64 x y))
153.0ms
(tanh.f64 (/.f64 t y))
415.0ms
(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))

simplify64.0ms

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
050502640

prune106.0ms

Filtered
71 candidates to 87 candidates (-22.5%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New81687
Fresh000
Picked101
Done000
Total82688

Merged error: 1.5b

Counts
88 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(tanh.f64 (/.f64 x y))
0.0b
(tanh.f64 (/.f64 t y))
1.1b
(*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
2.6b
(*.f64 y (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
33×associate-*r/_binary64
18×frac-sub_binary64
14×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
9×*-un-lft-identity_binary64
7×add-cube-cbrt_binary64
6×sub-neg_binary64 associate-*r*_binary64 associate-*l*_binary64
5×distribute-lft-in_binary64 distribute-rgt-in_binary64
4×pow-prod-down_binary64 add-log-exp_binary64 cbrt-unprod_binary64 prod-exp_binary64
2×flip3--_binary64 flip--_binary64 *-commutative_binary64
1×unswap-sqr_binary64 difference-of-squares_binary64 distribute-lft-out--_binary64
Counts
4 → 86
Calls
4 calls:
2.0ms
(tanh.f64 (/.f64 x y))
2.0ms
(tanh.f64 (/.f64 t y))
12.0ms
(*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
14.0ms
(*.f64 y (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))

series1.2s

Counts
4 → 12
Calls
4 calls:
143.0ms
(tanh.f64 (/.f64 x y))
151.0ms
(tanh.f64 (/.f64 t y))
521.0ms
(*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
405.0ms
(*.f64 y (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))

simplify48.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 0 (22.0ms)

IterNodesCost
056312565

prune104.0ms

Filtered
76 candidates to 98 candidates (-28.9%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New97198
Fresh055
Picked011
Done000
Total977104

Merged error: 1.5b

Counts
104 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(tanh.f64 (/.f64 t y))
0.3b
(+.f64 (*.f64 (*.f64 y z) (tanh.f64 (/.f64 t y))) (*.f64 (*.f64 y z) (neg.f64 (tanh.f64 (/.f64 x y)))))
5.8b
(*.f64 (*.f64 y z) (tanh.f64 (/.f64 t y)))
6.1b
(*.f64 (*.f64 y z) (neg.f64 (tanh.f64 (/.f64 x y))))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
24×associate-*r/_binary64
14×pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
13×associate-*r*_binary64
12×distribute-neg-frac_binary64
9×frac-add_binary64 tanh-def-a_binary64 tanh-def-b_binary64 tanh-def-c_binary64
8×*-un-lft-identity_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64
6×pow-prod-down_binary64 add-log-exp_binary64 cbrt-unprod_binary64 prod-exp_binary64
3×distribute-lft-neg-in_binary64 distribute-rgt-neg-in_binary64
2×distribute-rgt-neg-out_binary64 associate-*l*_binary64 *-commutative_binary64
1×flip3-+_binary64 distribute-lft-out_binary64 neg-mul-1_binary64 +-commutative_binary64 flip-+_binary64 unsub-neg_binary64 sum-log_binary64
Counts
4 → 82
Calls
4 calls:
2.0ms
(tanh.f64 (/.f64 t y))
11.0ms
(+.f64 (*.f64 (*.f64 y z) (tanh.f64 (/.f64 t y))) (*.f64 (*.f64 y z) (neg.f64 (tanh.f64 (/.f64 x y)))))
7.0ms
(*.f64 (*.f64 y z) (tanh.f64 (/.f64 t y)))
11.0ms
(*.f64 (*.f64 y z) (neg.f64 (tanh.f64 (/.f64 x y))))

series862.0ms

Counts
4 → 12
Calls
4 calls:
147.0ms
(tanh.f64 (/.f64 t y))
362.0ms
(+.f64 (*.f64 (*.f64 y z) (tanh.f64 (/.f64 t y))) (*.f64 (*.f64 y z) (neg.f64 (tanh.f64 (/.f64 x y)))))
158.0ms
(*.f64 (*.f64 y z) (tanh.f64 (/.f64 t y)))
194.0ms
(*.f64 (*.f64 y z) (neg.f64 (tanh.f64 (/.f64 x y))))

simplify71.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
050662189

prune85.0ms

Filtered
72 candidates to 94 candidates (-30.6%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New93194
Fresh145
Picked101
Done011
Total956101

Merged error: 1.0b

Counts
101 → 6

localize16.0ms

Local error

Found 4 expressions with local error:

3.9b
(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
6.6b
(cbrt.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
6.6b
(cbrt.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
6.6b
(cbrt.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
44×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
7×*-un-lft-identity_binary64 add-sqr-sqrt_binary64
5×associate-*r*_binary64 add-cube-cbrt_binary64
4×add-log-exp_binary64 flip3--_binary64 flip--_binary64
3×pow-prod-down_binary64 cbrt-unprod_binary64 pow1/3_binary64 prod-exp_binary64 cbrt-prod_binary64
2×sub-neg_binary64
1×distribute-lft-in_binary64 associate-*l*_binary64 distribute-rgt-in_binary64 difference-of-squares_binary64 distribute-lft-out--_binary64 *-commutative_binary64
Counts
4 → 93
Calls
4 calls:
14.0ms
(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
12.0ms
(cbrt.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
15.0ms
(cbrt.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
12.0ms
(cbrt.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))

series3.4s

Counts
4 → 12
Calls
4 calls:
394.0ms
(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
1.0s
(cbrt.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
991.0ms
(cbrt.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
1.0s
(cbrt.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))

simplify83.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
050594914

prune169.0ms

Filtered
91 candidates to 105 candidates (-15.4%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1050105
Fresh044
Picked011
Done011
Total1056111

Merged error: 1.0b

Counts
111 → 6

regimes69.0ms

Accuracy

0% (0.8b remaining)

Error of 2.2b against oracle of 1.5b and baseline of 2.2b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02623
12623

end0.0ms

sample661.0ms

Algorithm
intervals
Results
377.0ms7796×body128valid
27.0ms574×body128invalid
15.0ms77×body1024valid
11.0ms79×body512valid
4.0ms47×body256valid
0.0ms1×body2048valid

Profiling

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