Details

Time bar (total: 23.5s)

analyze17.0s

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

sample126.0ms

Algorithm
intervals
Results
58.0ms130×body1280valid
18.0ms256×pre80true
16.0ms23×body320valid
13.0ms53×body640valid
2.0ms38×body80valid
1.0ms12×body160valid

simplify447.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (8.0ms)

IterNodesCost
01859
11859

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 13.9b

Counts
2 → 1

localize13.0ms

Local error

Found 3 expressions with local error:

0.1b
(-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))
0.1b
(+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)))
4.5b
(tan.f64 (+.f64 y z))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
10×*-un-lft-identity_binary64 add-log-exp_binary64
5×add-sqr-sqrt_binary64
4×tan-quot_binary64
3×pow1_binary64 add-cube-cbrt_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
2×tan-sum_binary64 sub-neg_binary64 diff-log_binary64 distribute-lft-out_binary64 distribute-lft-out--_binary64 frac-sub_binary64 sum-log_binary64
1×flip3-+_binary64 associate-+r-_binary64 flip3--_binary64 difference-of-squares_binary64 +-commutative_binary64 flip--_binary64 flip-+_binary64 associate-+r+_binary64
Counts
3 → 40
Calls
3 calls:
8.0ms
(-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))
6.0ms
(+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)))
6.0ms
(tan.f64 (+.f64 y z))

series121.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))
58.0ms
(+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)))
29.0ms
(tan.f64 (+.f64 y z))

simplify67.0ms

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 0 (60.0ms)

IterNodesCost
04910561
14910561

prune83.0ms

Filtered
39 candidates to 49 candidates (-25.6%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New42749
Fresh000
Picked101
Done000
Total43750

Merged error: 0.1b

Counts
50 → 7

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b
(+.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))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
15×*-un-lft-identity_binary64
13×add-log-exp_binary64 add-sqr-sqrt_binary64
7×tan-quot_binary64
6×pow1_binary64 add-cube-cbrt_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
3×distribute-lft-out_binary64 associate-*r*_binary64 associate-*l*_binary64 sum-log_binary64
2×flip3-+_binary64 sub-neg_binary64 diff-log_binary64 difference-of-squares_binary64 distribute-lft-out--_binary64 +-commutative_binary64 flip-+_binary64
1×pow-prod-down_binary64 associate-+r-_binary64 flip3--_binary64 cbrt-unprod_binary64 associate-*r/_binary64 frac-add_binary64 unswap-sqr_binary64 prod-exp_binary64 times-frac_binary64 flip--_binary64 associate-+r+_binary64 frac-sub_binary64 frac-times_binary64 associate-*l/_binary64 *-commutative_binary64
Counts
4 → 65
Calls
4 calls:
8.0ms
(+.f64 (tan.f64 y) (tan.f64 z))
13.0ms
(+.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))
6.0ms
(*.f64 (tan.f64 y) (tan.f64 z))

series305.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(+.f64 (tan.f64 y) (tan.f64 z))
138.0ms
(+.f64 x (-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a)))
124.0ms
(-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a))
22.0ms
(*.f64 (tan.f64 y) (tan.f64 z))

simplify34.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 0 (24.0ms)

IterNodesCost
049511271
149511271

prune121.0ms

Filtered
58 candidates to 77 candidates (-32.8%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New70777
Fresh336
Picked101
Done000
Total741084

Merged error: 0.1b

Counts
84 → 10

localize25.0ms

Local error

Found 4 expressions with local error:

0.2b
(*.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (cos.f64 a))
0.2b
(/.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)))
0.2b
(*.f64 (tan.f64 y) (tan.f64 z))
0.2b
(*.f64 (tan.f64 y) (tan.f64 z))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
19×associate-*l/_binary64
18×add-sqr-sqrt_binary64
15×add-exp-log_binary64 add-cbrt-cube_binary64
14×*-un-lft-identity_binary64 tan-quot_binary64
12×add-cube-cbrt_binary64
10×pow1_binary64 associate-*l*_binary64
9×associate-*r*_binary64
8×associate-/l/_binary64
6×frac-sub_binary64
5×flip3--_binary64 flip--_binary64
4×add-log-exp_binary64 cbrt-unprod_binary64 prod-exp_binary64
3×pow-prod-down_binary64 flip3-+_binary64 frac-add_binary64 unswap-sqr_binary64 associate-/l*_binary64 times-frac_binary64 flip-+_binary64 *-commutative_binary64
2×cbrt-undiv_binary64 associate-*r/_binary64 associate-/r/_binary64 div-exp_binary64 frac-times_binary64
1×associate-/r*_binary64 distribute-lft-out_binary64 div-sub_binary64 clear-num_binary64 frac-2neg_binary64 div-inv_binary64
Counts
4 → 96
Calls
4 calls:
8.0ms
(*.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (cos.f64 a))
16.0ms
(/.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)))
6.0ms
(*.f64 (tan.f64 y) (tan.f64 z))
6.0ms
(*.f64 (tan.f64 y) (tan.f64 z))

series240.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(*.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (cos.f64 a))
158.0ms
(/.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)))
22.0ms
(*.f64 (tan.f64 y) (tan.f64 z))
23.0ms
(*.f64 (tan.f64 y) (tan.f64 z))

simplify50.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
066331624

prune132.0ms

Filtered
81 candidates to 108 candidates (-33.3%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1071108
Fresh279
Picked011
Done000
Total1099118

Merged error: 0.1b

Counts
118 → 9

localize24.0ms

Local error

Found 4 expressions with local error:

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

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
15×*-un-lft-identity_binary64 add-sqr-sqrt_binary64
11×add-log-exp_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
8×add-cube-cbrt_binary64
6×pow1_binary64
4×times-frac_binary64
3×associate-/r*_binary64 associate-*r*_binary64 associate-*l*_binary64 tan-quot_binary64
2×sub-neg_binary64 diff-log_binary64 cbrt-unprod_binary64 distribute-lft-out_binary64 cbrt-undiv_binary64 prod-exp_binary64 difference-of-squares_binary64 distribute-lft-out--_binary64 div-exp_binary64 associate-*l/_binary64 sum-log_binary64
1×pow-prod-down_binary64 flip3-+_binary64 associate-/l/_binary64 associate-+r-_binary64 flip3--_binary64 unswap-sqr_binary64 clear-num_binary64 frac-2neg_binary64 associate-/l*_binary64 div-inv_binary64 +-commutative_binary64 flip--_binary64 flip-+_binary64 associate-+r+_binary64 frac-sub_binary64 *-commutative_binary64
Counts
4 → 72
Calls
4 calls:
19.0ms
(+.f64 x (-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (/.f64 (*.f64 (tan.f64 y) (sin.f64 z)) (cos.f64 z)))) (tan.f64 a)))
19.0ms
(-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (/.f64 (*.f64 (tan.f64 y) (sin.f64 z)) (cos.f64 z)))) (tan.f64 a))
7.0ms
(/.f64 (*.f64 (tan.f64 y) (sin.f64 z)) (cos.f64 z))
6.0ms
(*.f64 (tan.f64 y) (sin.f64 z))

series303.0ms

Counts
4 → 12
Calls
4 calls:
135.0ms
(+.f64 x (-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (/.f64 (*.f64 (tan.f64 y) (sin.f64 z)) (cos.f64 z)))) (tan.f64 a)))
127.0ms
(-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (/.f64 (*.f64 (tan.f64 y) (sin.f64 z)) (cos.f64 z)))) (tan.f64 a))
26.0ms
(/.f64 (*.f64 (tan.f64 y) (sin.f64 z)) (cos.f64 z))
15.0ms
(*.f64 (tan.f64 y) (sin.f64 z))

simplify55.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
049381475
149381475

prune69.0ms

Filtered
63 candidates to 84 candidates (-33.3%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New84084
Fresh077
Picked011
Done011
Total84993

Merged error: 0.1b

Counts
93 → 9

regimes803.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify8.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (7.0ms)

IterNodesCost
030132
130132

end0.0ms

sample3.3s

Algorithm
intervals
Results
1.7s3909×body1280valid
531.0ms8000×pre80true
511.0ms2021×body640valid
117.0ms674×body320valid
59.0ms1111×body80valid
34.0ms285×body160valid

Profiling

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