Details

Time bar (total: 2.5min)

analyze1.0s

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
12.0ms245×body80valid
1.0ms18×body80invalid
1.0ms3×body1280valid
0.0ms4×body160valid
0.0ms3×body320valid
0.0ms1×body640valid

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: 2.5b

Counts
2 → 1

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(tanh.f64 (/.f64 t y))
0.0b
(tanh.f64 (/.f64 x y))
0.0b
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
2.7b
(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
11×associate-*r/_binary64
9×pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 frac-sub_binary64
8×tanh-def-a_binary64 tanh-def-b_binary64 tanh-def-c_binary64
7×*-un-lft-identity_binary64 add-sqr-sqrt_binary64
6×add-log-exp_binary64
5×associate-*r*_binary64 add-cube-cbrt_binary64
4×sub-neg_binary64
3×pow-prod-down_binary64 cbrt-unprod_binary64 prod-exp_binary64
2×distribute-lft-in_binary64 distribute-rgt-in_binary64 associate-+r+_binary64
1×flip3-+_binary64 flip3--_binary64 associate-*l*_binary64 difference-of-squares_binary64 distribute-lft-out--_binary64 +-commutative_binary64 flip--_binary64 flip-+_binary64 sum-log_binary64 *-commutative_binary64
Counts
4 → 66
Calls
4 calls:
2.0ms
(tanh.f64 (/.f64 t y))
2.0ms
(tanh.f64 (/.f64 x y))
4.0ms
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
13.0ms
(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))

series259.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(tanh.f64 (/.f64 t y))
29.0ms
(tanh.f64 (/.f64 x y))
124.0ms
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
75.0ms
(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))

simplify32.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 0 (22.0ms)

IterNodesCost
061171266

prune101.0ms

Filtered
63 candidates to 78 candidates (-23.8%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New72678
Fresh000
Picked011
Done000
Total72779

Merged error: 0.5b

Counts
79 → 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 x y))
0.8b
(*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
4.2b
(*.f64 y (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))

rewrite33.0ms

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 x 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)))))

series323.0ms

Counts
4 → 12
Calls
4 calls:
124.0ms
(+.f64 x (*.f64 y (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))
29.0ms
(tanh.f64 (/.f64 x y))
96.0ms
(*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
74.0ms
(*.f64 y (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))

simplify46.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
050041847

prune114.0ms

Filtered
78 candidates to 103 candidates (-32.1%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1021103
Fresh145
Picked011
Done011
Total1037110

Merged error: 0.5b

Counts
110 → 7

localize15.0ms

Local error

Found 4 expressions with local error:

2.0b
(cbrt.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
2.0b
(cbrt.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
2.0b
(cbrt.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
2.3b
(*.f64 (*.f64 y z) (*.f64 (cbrt.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (cbrt.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))

rewrite84.0ms

Algorithm
rewrite-expression-head
Rules
297×cbrt-div_binary64
243×frac-sub_binary64
162×tanh-def-a_binary64 tanh-def-b_binary64 tanh-def-c_binary64
154×associate-*r/_binary64
121×frac-times_binary64
27×flip3--_binary64 flip--_binary64
16×pow1_binary64 add-exp-log_binary64
15×cbrt-prod_binary64
13×*-un-lft-identity_binary64 add-sqr-sqrt_binary64
12×add-cbrt-cube_binary64
11×associate-*l/_binary64
8×pow-prod-down_binary64 cbrt-unprod_binary64 prod-exp_binary64
7×add-cube-cbrt_binary64
4×add-log-exp_binary64
3×pow1/3_binary64 difference-of-squares_binary64 distribute-lft-out--_binary64
1×associate-*r*_binary64 associate-*l*_binary64 *-commutative_binary64
Counts
4 → 237
Calls
4 calls:
7.0ms
(cbrt.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
7.0ms
(cbrt.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
10.0ms
(cbrt.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
36.0ms
(*.f64 (*.f64 y z) (*.f64 (cbrt.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (cbrt.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))

series720.0ms

Counts
4 → 12
Calls
4 calls:
171.0ms
(cbrt.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
171.0ms
(cbrt.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
170.0ms
(cbrt.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
208.0ms
(*.f64 (*.f64 y z) (*.f64 (cbrt.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (cbrt.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))

simplify112.0ms

Algorithm
egg-herbie
Counts
249 → 249
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
0501213267

prune642.0ms

Filtered
220 candidates to 249 candidates (-13.2%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New2490249
Fresh044
Picked011
Done022
Total2497256

Merged error: 0.5b

Counts
256 → 7

localize25.0ms

Local error

Found 4 expressions with local error:

0.1b
(pow.f64 (tanh.f64 (/.f64 t y)) 3)
0.7b
(*.f64 z (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) 3) (pow.f64 (tanh.f64 (/.f64 x y)) 3)))
1.9b
(*.f64 y (*.f64 z (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) 3) (pow.f64 (tanh.f64 (/.f64 x y)) 3))))
12.0b
(/.f64 (*.f64 y (*.f64 z (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) 3) (pow.f64 (tanh.f64 (/.f64 x y)) 3)))) (+.f64 (*.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 t y))) (+.f64 (*.f64 (tanh.f64 (/.f64 x y)) (tanh.f64 (/.f64 x y))) (*.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))

rewrite1.1s

Algorithm
rewrite-expression-head
Rules
6780×frac-add_binary64
6093×frac-times_binary64
5435×tanh-def-a_binary64 tanh-def-b_binary64 tanh-def-c_binary64
3407×associate-/r/_binary64
2086×associate-*r/_binary64
2031×associate-*l/_binary64
57×cube-div_binary64
38×add-sqr-sqrt_binary64
27×frac-sub_binary64
26×associate-*r*_binary64
22×*-un-lft-identity_binary64
21×add-exp-log_binary64 add-cbrt-cube_binary64
16×flip3-+_binary64 difference-of-squares_binary64 flip-+_binary64
15×unpow-prod-down_binary64 cube-prod_binary64
12×pow1_binary64 add-cube-cbrt_binary64
11×associate-/l/_binary64
9×sqr-pow_binary64
7×cbrt-unprod_binary64 prod-exp_binary64
6×sub-neg_binary64 associate-*l*_binary64
5×distribute-lft-in_binary64 distribute-rgt-in_binary64 distribute-lft-out--_binary64
4×pow-prod-down_binary64 add-log-exp_binary64
3×pow-unpow_binary64 associate-/r*_binary64 flip3--_binary64 cbrt-undiv_binary64 times-frac_binary64 div-exp_binary64 flip--_binary64
2×*-commutative_binary64
1×pow-to-exp_binary64 difference-cubes_binary64 pow-pow_binary64 unswap-sqr_binary64 clear-num_binary64 rem-cube-cbrt_binary64 frac-2neg_binary64 associate-/l*_binary64 div-inv_binary64 pow-exp_binary64 unpow3_binary64 cube-mult_binary64
Counts
4 → 3553
Calls
4 calls:
4.0ms
(pow.f64 (tanh.f64 (/.f64 t y)) 3)
24.0ms
(*.f64 z (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) 3) (pow.f64 (tanh.f64 (/.f64 x y)) 3)))
22.0ms
(*.f64 y (*.f64 z (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) 3) (pow.f64 (tanh.f64 (/.f64 x y)) 3))))
310.0ms
(/.f64 (*.f64 y (*.f64 z (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) 3) (pow.f64 (tanh.f64 (/.f64 x y)) 3)))) (+.f64 (*.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 t y))) (+.f64 (*.f64 (tanh.f64 (/.f64 x y)) (tanh.f64 (/.f64 x y))) (*.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))

series3.4s

Counts
4 → 12
Calls
4 calls:
45.0ms
(pow.f64 (tanh.f64 (/.f64 t y)) 3)
490.0ms
(*.f64 z (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) 3) (pow.f64 (tanh.f64 (/.f64 x y)) 3)))
199.0ms
(*.f64 y (*.f64 z (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) 3) (pow.f64 (tanh.f64 (/.f64 x y)) 3))))
2.6s
(/.f64 (*.f64 y (*.f64 z (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) 3) (pow.f64 (tanh.f64 (/.f64 x y)) 3)))) (+.f64 (*.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 t y))) (+.f64 (*.f64 (tanh.f64 (/.f64 x y)) (tanh.f64 (/.f64 x y))) (*.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))

simplify2.1s

Algorithm
egg-herbie
Counts
3565 → 3565
Iterations

Useful iterations: 0 (76.0ms)

IterNodesCost
013445503742

prune2.3min

Filtered
3536 candidates to 3565 candidates (-0.8%)

Profiling

Loading profile data...