Details

Time bar (total: 40.4s)

analyze837.0ms

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

sample23.0ms

Algorithm
intervals
Results
12.0ms249×body80valid
1.0ms15×body80invalid
1.0ms4×body320valid
0.0ms1×body640valid
0.0ms2×body160valid

simplify57.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
0510023

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 5.3b

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
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
0.0b
(tanh.f64 (/.f64 t y))
5.3b
(*.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:
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))))

series850.0ms

Counts
4 → 12
Calls
4 calls:
214.0ms
(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
359.0ms
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
77.0ms
(tanh.f64 (/.f64 t y))
198.0ms
(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))

simplify90.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
049732920
149732920

prune99.0ms

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

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New84690
Fresh000
Picked011
Done000
Total84791

Merged error: 0.9b

Counts
91 → 7

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(tanh.f64 (/.f64 x y))
0.0b
(tanh.f64 (/.f64 t y))
1.8b
(*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
4.1b
(*.f64 y (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))

rewrite31.0ms

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))
11.0ms
(*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
13.0ms
(*.f64 y (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))

series613.0ms

Counts
4 → 12
Calls
4 calls:
78.0ms
(tanh.f64 (/.f64 x y))
80.0ms
(tanh.f64 (/.f64 t y))
259.0ms
(*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
196.0ms
(*.f64 y (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))

simplify59.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 0 (29.0ms)

IterNodesCost
056222565

prune98.0ms

Filtered
75 candidates to 98 candidates (-30.7%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New96298
Fresh055
Picked011
Done011
Total969105

Merged error: 0.9b

Counts
105 → 9

localize19.0ms

Local error

Found 4 expressions with local error:

4.1b
(*.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)))))))
5.7b
(cbrt.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
5.7b
(cbrt.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
5.7b
(cbrt.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))

rewrite782.0ms

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
3×pow1/3_binary64 associate-*l*_binary64 cbrt-prod_binary64
1×associate-*r*_binary64 *-commutative_binary64
Counts
4 → 1808
Calls
4 calls:
199.0ms
(*.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)))))))
9.0ms
(cbrt.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
9.0ms
(cbrt.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
9.0ms
(cbrt.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))

series2.5s

Counts
4 → 12
Calls
4 calls:
222.0ms
(*.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)))))))
764.0ms
(cbrt.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
766.0ms
(cbrt.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
757.0ms
(cbrt.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))

simplify2.0s

Algorithm
egg-herbie
Counts
1820 → 1820
Iterations

Useful iterations: 0 (85.0ms)

IterNodesCost
05790302361

prune30.3s

Filtered
1813 candidates to 1820 candidates (-0.4%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New182001820
Fresh066
Picked011
Done022
Total182091829

Merged error: 0.9b

Counts
1829 → 9

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 y)
1.8b
(*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
2.0b
(*.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)))

rewrite55.0ms

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))))
14.0ms
(*.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)))

series929.0ms

Counts
4 → 12
Calls
4 calls:
85.0ms
(cbrt.f64 y)
260.0ms
(*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
369.0ms
(*.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (cbrt.f64 y))
214.0ms
(*.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)))

simplify98.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 0 (59.0ms)

IterNodesCost
049643613
149643613

prune125.0ms

Filtered
92 candidates to 127 candidates (-38.0%)
Pruning

11 alts after pruning (7 fresh and 4 done)

PrunedKeptTotal
New1252127
Fresh055
Picked011
Done033
Total12511136

Merged error: 0.7b

Counts
136 → 11

regimes152.0ms

Accuracy

0% (1.2b remaining)

Error of 2.1b against oracle of 0.9b and baseline of 2.1b

bsearch0.0ms

simplify4.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03035
13035

end0.0ms

sample691.0ms

Algorithm
intervals
Results
389.0ms7734×body80valid
28.0ms575×body80invalid
19.0ms105×body640valid
11.0ms40×body1280valid
10.0ms71×body320valid
5.0ms50×body160valid

Profiling

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