Details

Time bar (total: 38.7s)

analyze17.6s (45.5%)

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)

sample104.0ms (0.3%)

Algorithm
intervals
Results
40.0ms140×body1024valid
22.0ms58×body512valid
18.0ms256×pre128true
3.0msbody2048valid
2.0ms41×body128valid
1.0ms11×body256valid
Compiler

Compiled 54 to 50 computations (7.4% saved)

simplify105.0ms (0.3%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (9.0ms)

IterNodesCost
018614
118614

prune4.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
13.3b
Counts
2 → 1
Compiler

Compiled 18 to 18 computations (0% saved)

localize18.0ms (0%)

Local error

Found 6 expressions with local error:

2.6b
(tan.f64 (+.f64 y z))
0.2b
(-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))
0.1b
(+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)))
0.1b
(+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)))
0.2b
(-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))
2.6b
(tan.f64 (+.f64 y z))

rewrite23.0ms (0.1%)

Algorithm
rewrite-expression-head
Rules
12×*-un-lft-identity_binary64
10×add-log-exp_binary64
add-sqr-sqrt_binary64
cancel-sign-sub-inv_binary64
add-cube-cbrt_binary64
associate-+r+_binary64 tan-quot_binary64
pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
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
Counts
3 → 46
Calls

6 calls:

7.0ms
(-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))
6.0ms
(+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)))
5.0ms
(tan.f64 (+.f64 y z))
0.0ms
(+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)))
0.0ms
(-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))

series1.2s (3.2%)

Counts
3 → 51
Calls

3 calls:

619.0ms
(+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)))
423.0ms
(-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))
190.0ms
(tan.f64 (+.f64 y z))
Compiler

Compiled 1819 to 1340 computations (26.3% saved)

simplify46.0ms (0.1%)

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 0 (22.0ms)

IterNodesCost
050602561

prune137.0ms (0.4%)

Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New90797
Fresh000
Picked101
Done000
Total91798
Error
0.0b
Counts
98 → 7
Compiler

Compiled 2091 to 614 computations (70.6% saved)

localize17.0ms (0%)

Local error

Found 8 expressions with local error:

0.1b
(+.f64 x (-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a)))
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))
0.0b
(-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))
0.1b
(/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z))))
0.1b
(+.f64 x (-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a)))
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))

rewrite51.0ms (0.1%)

Algorithm
rewrite-expression-head
Rules
32×*-un-lft-identity_binary64
24×add-sqr-sqrt_binary64
17×add-cube-cbrt_binary64
13×times-frac_binary64
11×add-log-exp_binary64
add-exp-log_binary64 add-cbrt-cube_binary64
tan-quot_binary64
pow1_binary64 distribute-lft-out_binary64 cancel-sign-sub-inv_binary64
associate-/l*_binary64 associate-+r+_binary64
associate-/l/_binary64 associate-/r*_binary64 associate-*r*_binary64 associate-*l*_binary64
flip3-+_binary64 sub-neg_binary64 flip3--_binary64 diff-log_binary64 associate-/r/_binary64 difference-of-squares_binary64 distribute-lft-out--_binary64 flip--_binary64 flip-+_binary64 sum-log_binary64
pow-prod-down_binary64 associate-+r-_binary64 cbrt-unprod_binary64 cbrt-undiv_binary64 associate-*r/_binary64 frac-add_binary64 unswap-sqr_binary64 clear-num_binary64 prod-exp_binary64 frac-2neg_binary64 div-inv_binary64 div-exp_binary64 +-commutative_binary64 frac-sub_binary64 frac-times_binary64 associate-*l/_binary64 *-commutative_binary64
Counts
4 → 94
Calls

8 calls:

14.0ms
(+.f64 x (-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a)))
13.0ms
(-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a))
9.0ms
(/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z))))
6.0ms
(*.f64 (tan.f64 y) (tan.f64 z))
0.0ms
(-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))

series4.6s (12%)

Counts
4 → 57
Calls

4 calls:

2.3s
(+.f64 x (-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a)))
1.6s
(-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a))
531.0ms
(/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z))))
195.0ms
(*.f64 (tan.f64 y) (tan.f64 z))
Compiler

Compiled 3413 to 2122 computations (37.8% saved)

simplify97.0ms (0.3%)

Algorithm
egg-herbie
Counts
151 → 151
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
049925868
149925868

prune222.0ms (0.6%)

Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New1474151
Fresh246
Picked101
Done000
Total1508158
Error
0.0b
Counts
158 → 8
Compiler

Compiled 4925 to 1627 computations (67% saved)

localize15.0ms (0%)

Local error

Found 8 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 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) x)
0.1b
(+.f64 (tan.f64 y) (tan.f64 z))
0.0b
(-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))
0.1b
(+.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) x)
0.1b
(/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z))))
0.1b
(-.f64 (+.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) x) (tan.f64 a))
0.2b
(*.f64 (tan.f64 y) (tan.f64 z))

rewrite53.0ms (0.1%)

Algorithm
rewrite-expression-head
Rules
31×*-un-lft-identity_binary64
20×add-sqr-sqrt_binary64
16×add-cube-cbrt_binary64
12×times-frac_binary64
11×add-log-exp_binary64
add-exp-log_binary64 add-cbrt-cube_binary64 tan-quot_binary64
pow1_binary64 distribute-lft-out_binary64
associate-/l*_binary64
flip3-+_binary64 associate-/l/_binary64 associate-/r*_binary64 associate-*r*_binary64 associate-*l*_binary64 cancel-sign-sub-inv_binary64 flip-+_binary64
flip3--_binary64 diff-log_binary64 associate-/r/_binary64 distribute-lft-out--_binary64 flip--_binary64 frac-sub_binary64 sum-log_binary64
pow-prod-down_binary64 sub-neg_binary64 cbrt-unprod_binary64 cbrt-undiv_binary64 associate-*r/_binary64 frac-add_binary64 unswap-sqr_binary64 clear-num_binary64 prod-exp_binary64 frac-2neg_binary64 difference-of-squares_binary64 div-inv_binary64 div-exp_binary64 +-commutative_binary64 frac-times_binary64 associate--l+_binary64 associate-*l/_binary64 *-commutative_binary64
Counts
4 → 90
Calls

8 calls:

18.0ms
(-.f64 (+.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) x) (tan.f64 a))
12.0ms
(+.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) x)
9.0ms
(/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z))))
5.0ms
(*.f64 (tan.f64 y) (tan.f64 z))
0.0ms
(-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))

series4.5s (11.7%)

Counts
4 → 57
Calls

4 calls:

2.3s
(-.f64 (+.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) x) (tan.f64 a))
1.5s
(+.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) x)
543.0ms
(/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z))))
180.0ms
(*.f64 (tan.f64 y) (tan.f64 z))
Compiler

Compiled 3303 to 2060 computations (37.6% saved)

simplify108.0ms (0.3%)

Algorithm
egg-herbie
Counts
147 → 147
Iterations

Useful iterations: 0 (61.0ms)

IterNodesCost
049735618
149735618

prune196.0ms (0.5%)

Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New1452147
Fresh077
Picked101
Done000
Total1469155
Error
0.0b
Counts
155 → 9
Compiler

Compiled 4888 to 1624 computations (66.8% saved)

localize20.0ms (0.1%)

Local error

Found 8 expressions with local error:

0.1b
(*.f64 (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z))) (sin.f64 a))
0.0b
(*.f64 (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z))) (cos.f64 a))
0.0b
(-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))
0.0b
(-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))
0.2b
(-.f64 (*.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (cos.f64 a)) (*.f64 (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z))) (sin.f64 a)))
0.2b
(*.f64 (tan.f64 y) (tan.f64 z))
0.2b
(*.f64 (tan.f64 y) (tan.f64 z))
0.3b
(/.f64 (-.f64 (*.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (cos.f64 a)) (*.f64 (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z))) (sin.f64 a))) (*.f64 (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z))) (cos.f64 a)))

rewrite53.0ms (0.1%)

Algorithm
rewrite-expression-head
Rules
28×associate-*l/_binary64
16×tan-quot_binary64
14×add-sqr-sqrt_binary64
13×add-exp-log_binary64 add-cbrt-cube_binary64
12×frac-sub_binary64
10×*-un-lft-identity_binary64 add-cube-cbrt_binary64
flip3--_binary64 flip--_binary64
associate-/l/_binary64 pow1_binary64
add-log-exp_binary64 associate-*r*_binary64 associate-*l*_binary64
flip3-+_binary64 frac-add_binary64 flip-+_binary64
cbrt-unprod_binary64 prod-exp_binary64 associate-/l*_binary64 times-frac_binary64
pow-prod-down_binary64 cbrt-undiv_binary64 associate-*r/_binary64 associate-/r/_binary64 unswap-sqr_binary64 div-exp_binary64 frac-times_binary64 *-commutative_binary64
associate-/r*_binary64 sub-neg_binary64 diff-log_binary64 cancel-sign-sub-inv_binary64 div-sub_binary64 clear-num_binary64 frac-2neg_binary64 div-inv_binary64
Counts
4 → 92
Calls

8 calls:

18.0ms
(/.f64 (-.f64 (*.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (cos.f64 a)) (*.f64 (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z))) (sin.f64 a))) (*.f64 (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z))) (cos.f64 a)))
10.0ms
(-.f64 (*.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (cos.f64 a)) (*.f64 (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z))) (sin.f64 a)))
6.0ms
(*.f64 (tan.f64 y) (tan.f64 z))
5.0ms
(*.f64 (tan.f64 y) (tan.f64 z))
0.0ms
(-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))

series3.3s (8.5%)

Counts
4 → 45
Calls

4 calls:

1.9s
(/.f64 (-.f64 (*.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (cos.f64 a)) (*.f64 (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z))) (sin.f64 a))) (*.f64 (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z))) (cos.f64 a)))
986.0ms
(-.f64 (*.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (cos.f64 a)) (*.f64 (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z))) (sin.f64 a)))
192.0ms
(*.f64 (tan.f64 y) (tan.f64 z))
190.0ms
(*.f64 (tan.f64 y) (tan.f64 z))
Compiler

Compiled 3872 to 2279 computations (41.1% saved)

simplify91.0ms (0.2%)

Algorithm
egg-herbie
Counts
137 → 137
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
050826569

prune223.0ms (0.6%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1361137
Fresh178
Picked011
Done000
Total1379146
Error
0.0b
Counts
146 → 9
Compiler

Compiled 6829 to 1968 computations (71.2% saved)

simplify79.0ms (0.2%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (61.0ms)

IterNodesCost
018461468
118461468

regimes835.0ms (2.2%)

Compiler

Compiled 9156 to 6331 computations (30.9% saved)

bsearch0.0ms (0%)

regimes500.0ms (1.3%)

Compiler

Compiled 3809 to 3397 computations (10.8% saved)

bsearch0.0ms (0%)

regimes338.0ms (0.9%)

Compiler

Compiled 1778 to 1976 computations (-11.1% saved)

bsearch0.0ms (0%)

regimes242.0ms (0.6%)

Compiler

Compiled 1228 to 1394 computations (-13.5% saved)

bsearch0.0ms (0%)

regimes84.0ms (0.2%)

Compiler

Compiled 145 to 302 computations (-108.3% saved)

bsearch0.0ms (0%)

regimes53.0ms (0.1%)

Compiler

Compiled 52 to 167 computations (-221.2% saved)

bsearch0.0ms (0%)

regimes37.0ms (0.1%)

Compiler

Compiled 24 to 108 computations (-350% saved)

bsearch0.0ms (0%)

regimes34.0ms (0.1%)

Accuracy

Total 0.1b remaining (67.3%)

Threshold costs 0.1b (67.3%)

Compiler

Compiled 20 to 92 computations (-360% saved)

bsearch9.0ms (0%)

Compiler

Compiled 81 to 78 computations (3.7% saved)

simplify4.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
091128
191128

end0.0ms (0%)

sample3.6s (9.3%)

Algorithm
intervals
Results
1.2s4594×body1024valid
559.0ms8000×pre128true
240.0ms1383×body512valid
149.0ms209×body2048valid
84.0ms1293×body128valid
67.0ms521×body256valid
Compiler

Compiled 1035 to 732 computations (29.3% saved)

Pareto

0.5240608348477543

Profiling

Loading profile data...