Details

Time bar (total: 1.0min)

analyze17.0s (27.5%)

Algorithm
search
Search
TrueOtherFalseIter
0%0.2%99.8%0
0%0.2%99.8%1
0%0.2%99.8%2
0%0.2%99.8%3
0%0.2%99.8%4
0%0.2%99.8%5
0%0.2%99.8%6
0%0.2%99.8%7
0%0.2%99.8%8
0%0.2%99.8%9
0%0.2%99.8%10
0%0.2%99.8%11
0%0.2%99.8%12
0%0.2%99.8%13
0%0.2%99.8%14
Compiler

Compiled 45 to 37 computations (17.8% saved)

sample122.0ms (0.2%)

Algorithm
intervals
Results
64.0ms117×body1280valid
18.0ms256×pre80true
15.0ms58×body640valid
6.0ms32×body320valid
2.0ms38×body80valid
1.0ms11×body160valid
Compiler

Compiled 54 to 50 computations (7.4% saved)

simplify141.0ms (0.2%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (11.0ms)

IterNodesCost
017814
117814

prune5.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 15.6b

Counts
2 → 1
Compiler

Compiled 18 to 18 computations (0% saved)

localize13.0ms (0%)

Local error

Found 3 expressions with local error:

0.1b
(+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)))
0.2b
(-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))
6.1b
(tan.f64 (+.f64 y z))

rewrite206.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
10×*-un-lft-identity_binary64 add-log-exp_binary64
add-sqr-sqrt_binary64
tan-quot_binary64
pow1_binary64 add-cube-cbrt_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 insert-posit16
tan-sum_binary64 sub-neg_binary64 diff-log_binary64 distribute-lft-out_binary64 distribute-lft-out--_binary64 frac-sub_binary64 sum-log_binary64
flip3-+_binary64 associate-+r-_binary64 flip3--_binary64 difference-of-squares_binary64 +-commutative_binary64 flip--_binary64 flip-+_binary64 associate-+r+_binary64
Counts
3 → 43
Calls

3 calls:

187.0ms
(tan.f64 (+.f64 y z))
9.0ms
(-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))
7.0ms
(+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)))

series764.0ms (1.2%)

Counts
3 → 9
Calls

3 calls:

327.0ms
(+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)))
291.0ms
(-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))
146.0ms
(tan.f64 (+.f64 y z))

simplify122.0ms (0.2%)

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 0 (97.0ms)

IterNodesCost
04944927
14944927

prune58.0ms (0.1%)

Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New46652
Fresh000
Picked101
Done000
Total47653

Merged error: 0.1b

Counts
53 → 6
Compiler

Compiled 911 to 256 computations (71.9% saved)

localize16.0ms (0%)

Local error

Found 4 expressions with local error:

0.1b
(/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z))))
0.1b
(+.f64 (tan.f64 y) (tan.f64 z))
0.2b
(-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a))
0.2b
(*.f64 (tan.f64 y) (tan.f64 z))

rewrite43.0ms (0.1%)

Algorithm
rewrite-expression-head
Rules
27×*-un-lft-identity_binary64
22×add-sqr-sqrt_binary64
15×add-cube-cbrt_binary64
13×times-frac_binary64
tan-quot_binary64
add-log-exp_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
pow1_binary64
distribute-lft-out_binary64
associate-/l*_binary64 insert-posit16
associate-/l/_binary64 associate-/r*_binary64 associate-*r*_binary64 associate-*l*_binary64
flip3-+_binary64 flip3--_binary64 frac-add_binary64 associate-/r/_binary64 difference-of-squares_binary64 flip--_binary64 flip-+_binary64
pow-prod-down_binary64 sub-neg_binary64 diff-log_binary64 cbrt-unprod_binary64 cbrt-undiv_binary64 associate-*r/_binary64 unswap-sqr_binary64 clear-num_binary64 prod-exp_binary64 frac-2neg_binary64 distribute-lft-out--_binary64 div-inv_binary64 div-exp_binary64 +-commutative_binary64 frac-sub_binary64 frac-times_binary64 associate-*l/_binary64 sum-log_binary64 *-commutative_binary64
Counts
4 → 89
Calls

4 calls:

16.0ms
(-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a))
11.0ms
(/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z))))
7.0ms
(*.f64 (tan.f64 y) (tan.f64 z))
6.0ms
(+.f64 (tan.f64 y) (tan.f64 z))

series2.0s (3.2%)

Counts
4 → 12
Calls

4 calls:

1.1s
(-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a))
528.0ms
(/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z))))
197.0ms
(*.f64 (tan.f64 y) (tan.f64 z))
175.0ms
(+.f64 (tan.f64 y) (tan.f64 z))

simplify134.0ms (0.2%)

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 0 (98.0ms)

IterNodesCost
049422614
149422614

prune138.0ms (0.2%)

Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New974101
Fresh145
Picked101
Done000
Total998107

Merged error: 0.1b

Counts
107 → 8
Compiler

Compiled 2929 to 1009 computations (65.6% saved)

localize27.0ms (0%)

Local error

Found 4 expressions with local error:

0.4b
(pow.f64 (tan.f64 a) 3)
0.4b
(*.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (+.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a)))
0.6b
(pow.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) 3)
1.5b
(/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) 3) (pow.f64 (tan.f64 a) 3)) (+.f64 (*.f64 (tan.f64 a) (tan.f64 a)) (*.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (+.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a)))))

rewrite131.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
260×add-sqr-sqrt_binary64
168×times-frac_binary64
131×*-un-lft-identity_binary64
96×difference-of-squares_binary64
93×unpow-prod-down_binary64 cube-prod_binary64
71×add-cube-cbrt_binary64
42×sqr-pow_binary64
38×tan-quot_binary64
33×associate-/l*_binary64
29×frac-add_binary64 associate-/r/_binary64
20×distribute-lft-out--_binary64
19×associate-*r/_binary64 frac-times_binary64
18×associate-*l*_binary64
15×add-exp-log_binary64 add-cbrt-cube_binary64
11×associate-*l/_binary64
10×distribute-lft-out_binary64
flip3-+_binary64 flip-+_binary64
pow1_binary64
pow-unpow_binary64
difference-cubes_binary64 add-log-exp_binary64 flip3--_binary64 associate-*r*_binary64 cube-div_binary64 div-inv_binary64 insert-posit16 flip--_binary64
associate-/l/_binary64 associate-/r*_binary64 cbrt-undiv_binary64 rem-cube-cbrt_binary64 div-exp_binary64 pow-exp_binary64
pow-to-exp_binary64 cbrt-unprod_binary64 pow-pow_binary64 unswap-sqr_binary64 prod-exp_binary64 unpow3_binary64 cube-mult_binary64
pow-prod-down_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 div-sub_binary64 clear-num_binary64 frac-2neg_binary64 frac-sub_binary64 *-commutative_binary64
Counts
4 → 304
Calls

4 calls:

61.0ms
(/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) 3) (pow.f64 (tan.f64 a) 3)) (+.f64 (*.f64 (tan.f64 a) (tan.f64 a)) (*.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (+.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a)))))
28.0ms
(*.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (+.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a)))
11.0ms
(pow.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) 3)
4.0ms
(pow.f64 (tan.f64 a) 3)

series17.5s (28.3%)

Counts
4 → 12
Calls

4 calls:

14.8s
(/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) 3) (pow.f64 (tan.f64 a) 3)) (+.f64 (*.f64 (tan.f64 a) (tan.f64 a)) (*.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (+.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a)))))
1.8s
(*.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (+.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a)))
773.0ms
(pow.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) 3)
114.0ms
(pow.f64 (tan.f64 a) 3)

simplify297.0ms (0.5%)

Algorithm
egg-herbie
Counts
316 → 316
Iterations

Useful iterations: 0 (84.0ms)

IterNodesCost
0504832777

prune1.2s (1.9%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New3133316
Fresh257
Picked011
Done000
Total3159324

Merged error: 0.0b

Counts
324 → 9
Compiler

Compiled 29314 to 10686 computations (63.5% saved)

localize29.0ms (0%)

Local error

Found 4 expressions with local error:

0.4b
(*.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (+.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a)))
0.4b
(*.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (+.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a)))
0.6b
(pow.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) 3)
1.5b
(/.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) 3) (+.f64 (pow.f64 (tan.f64 a) 2) (*.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (+.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a)))))

rewrite118.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
272×times-frac_binary64
226×*-un-lft-identity_binary64
160×add-sqr-sqrt_binary64
150×add-cube-cbrt_binary64
90×unpow-prod-down_binary64 cube-prod_binary64
42×associate-/l*_binary64
38×distribute-lft-out_binary64
36×associate-*l*_binary64
26×associate-/r/_binary64
25×add-exp-log_binary64
19×add-cbrt-cube_binary64
13×div-inv_binary64
12×flip3--_binary64 flip--_binary64
pow1_binary64
associate-*r*_binary64 div-exp_binary64
associate-*r/_binary64 frac-times_binary64
flip3-+_binary64 sqr-pow_binary64 flip-+_binary64 unpow3_binary64 cube-mult_binary64
add-log-exp_binary64 cbrt-unprod_binary64 cbrt-undiv_binary64 frac-add_binary64 unswap-sqr_binary64 prod-exp_binary64 insert-posit16 pow-exp_binary64 tan-quot_binary64
pow-unpow_binary64 associate-/r*_binary64
pow-to-exp_binary64 pow-prod-down_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 cube-div_binary64 rem-cube-cbrt_binary64 associate-*l/_binary64 *-commutative_binary64
associate-/l/_binary64 pow-pow_binary64 clear-num_binary64 frac-2neg_binary64
Counts
4 → 341
Calls

4 calls:

27.0ms
(/.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) 3) (+.f64 (pow.f64 (tan.f64 a) 2) (*.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (+.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a)))))
27.0ms
(*.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (+.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a)))
27.0ms
(*.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (+.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a)))
11.0ms
(pow.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) 3)

series15.9s (25.7%)

Counts
4 → 12
Calls

4 calls:

11.5s
(/.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) 3) (+.f64 (pow.f64 (tan.f64 a) 2) (*.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (+.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a)))))
1.8s
(*.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (+.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a)))
1.8s
(*.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (+.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a)))
766.0ms
(pow.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) 3)

simplify304.0ms (0.5%)

Algorithm
egg-herbie
Counts
353 → 353
Iterations

Useful iterations: 0 (78.0ms)

IterNodesCost
0510434747

prune1.9s (3%)

Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New3521353
Fresh077
Picked011
Done011
Total35210362

Merged error: 0.0b

Counts
362 → 10
Compiler

Compiled 43311 to 15586 computations (64% saved)

regimes327.0ms (0.5%)

Compiler

Compiled 5409 to 2643 computations (51.1% saved)

bsearch0.0ms (0%)

simplify7.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
073153
173153

end0.0ms (0%)

sample3.5s (5.7%)

Algorithm
intervals
Results
1.6s3828×body1280valid
524.0ms8000×pre80true
480.0ms2029×body640valid
118.0ms715×body320valid
63.0ms1132×body80valid
34.0ms296×body160valid
Compiler

Compiled 789 to 387 computations (51% saved)

Profiling

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