Details

analyze24.7s (46.3%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1110	98
1	1110	98
0	4	4
1	4	4

Search

True	Other	False	Iter
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

Symmetry

(sort y z)

Compiler

Compiled 45 to 37 computations (17.8% saved)

sample139.0ms (0.3%)

Algorithm

1×

intervals

Results

62.0ms	142×	body	1024	valid
24.0ms	256×	pre	128	true
12.0ms	54×	body	512	valid
3.0ms	43×	body	128	valid
3.0ms	5×	body	2048	valid
2.0ms	12×	body	256	valid

Compiler

Compiled 54 to 50 computations (7.4% saved)

simplify14.0ms (0%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (8.0ms)

Iter	Nodes	Cost
0	186	14
1	186	14

prune7.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Error

13.2b

Counts

2 → 1

Compiler

Compiled 18 to 18 computations (0% saved)

localize15.0ms (0%)

Local error

Found 3 expressions with local error:

0.2b	(+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)))
0.2b	(-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))
3.2b	(tan.f64 (+.f64 y z))

rewrite149.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

12×	`*-un-lft-identity_binary64`
10×	`add-log-exp_binary64`
7×	`add-sqr-sqrt_binary64`
6×	`cancel-sign-sub-inv_binary64`
5×	`add-cube-cbrt_binary64`
4×	`tan-quot_binary64` `associate-+r+_binary64`
3×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
2×	`tan-sum_binary64` `diff-log_binary64` `frac-sub_binary64` `sub-neg_binary64` `distribute-lft-out--_binary64` `sum-log_binary64` `distribute-lft-out_binary64`
1×	`flip3--_binary64` `flip--_binary64` `difference-of-squares_binary64` `flip3-+_binary64` `flip-+_binary64` `associate-+r-_binary64` `+-commutative_binary64`

Counts

3 → 46

Calls

3 calls:

21.0ms	(-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))
11.0ms	(+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)))
9.0ms	(tan.f64 (+.f64 y z))

Compiler

Compiled 790 to 187 computations (76.3% saved)

series1.5s (2.8%)

Error

12.4b

Counts

3 → 49

Calls

3 calls:

705.0ms	(+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)))
516.0ms	(-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))
213.0ms	(tan.f64 (+.f64 y z))

Compiler

Compiled 3019 to 1735 computations (42.5% saved)

simplify115.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (90.0ms)

Iter	Nodes	Cost
0	4975	2479
1	4975	2479

prune134.0ms (0.3%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	86	9	95
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	87	9	96

Error

0.1b

Counts

96 → 9

Compiler

Compiled 2074 to 613 computations (70.4% saved)

localize22.0ms (0%)

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))

rewrite153.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

17×	`*-un-lft-identity_binary64`
15×	`add-sqr-sqrt_binary64`
13×	`add-log-exp_binary64`
8×	`add-cube-cbrt_binary64`
7×	`tan-quot_binary64`
6×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `cancel-sign-sub-inv_binary64`
4×	`associate-+r+_binary64`
3×	`associate-l_binary64` `associate-r_binary64` `sum-log_binary64` `distribute-lft-out_binary64`
2×	`diff-log_binary64` `sub-neg_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `flip3-+_binary64` `flip-+_binary64` `+-commutative_binary64`
1×	`pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `frac-times_binary64` `unswap-sqr_binary64` `associate-l/_binary64` `associate-r/_binary64` `*-commutative_binary64` `frac-sub_binary64` `flip3--_binary64` `flip--_binary64` `times-frac_binary64` `associate-+r-_binary64` `frac-add_binary64`

Counts

4 → 71

Calls

4 calls:

15.0ms	(+.f64 x (-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a)))
14.0ms	(-.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))
5.0ms	(+.f64 (tan.f64 y) (tan.f64 z))

Compiler

Compiled 1999 to 656 computations (67.2% saved)

series5.1s (9.5%)

Error

0.1b

Counts

4 → 56

Calls

4 calls:

2.6s	(+.f64 x (-.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)))) (tan.f64 a))
274.0ms	(*.f64 (tan.f64 y) (tan.f64 z))
247.0ms	(+.f64 (tan.f64 y) (tan.f64 z))

Compiler

Compiled 5291 to 2736 computations (48.3% saved)

simplify93.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4986	4508
1	4986	4508

prune211.0ms (0.4%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	118	9	127
Fresh	6	2	8
Picked	1	0	1
Done	0	0	0
Total	125	11	136

Error

0.0b

Counts

136 → 11

Compiler

Compiled 4176 to 1412 computations (66.2% saved)

localize19.0ms (0%)

Local error

Found 4 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)))
0.2b	(-.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))
2.4b	(exp.f64 (+.f64 x (-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a))))

rewrite185.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

21×	`*-un-lft-identity_binary64`
17×	`add-log-exp_binary64`
16×	`add-sqr-sqrt_binary64`
9×	`add-cube-cbrt_binary64`
6×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `cancel-sign-sub-inv_binary64`
5×	`exp-prod_binary64` `tan-quot_binary64`
4×	`distribute-lft-out_binary64` `sum-log_binary64` `associate-+r+_binary64`
3×	`distribute-lft-out--_binary64` `diff-log_binary64` `rem-exp-log_binary64` `associate-l_binary64` `associate-r_binary64`
2×	`associate-+r-_binary64` `sub-neg_binary64` `difference-of-squares_binary64`
1×	`exp-diff_binary64` `exp-sum_binary64` `pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `frac-times_binary64` `unswap-sqr_binary64` `associate-l/_binary64` `associate-r/_binary64` `*-commutative_binary64` `frac-sub_binary64` `flip3--_binary64` `flip--_binary64` `times-frac_binary64` `flip3-+_binary64` `flip-+_binary64` `+-commutative_binary64`

Counts

4 → 75

Calls

4 calls:

22.0ms	(exp.f64 (+.f64 x (-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a))))
21.0ms	(+.f64 x (-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a)))
14.0ms	(-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a))
9.0ms	(*.f64 (tan.f64 y) (tan.f64 z))

Compiler

Compiled 2313 to 867 computations (62.5% saved)

series7.1s (13.3%)

Error

0.0b

Counts

4 → 67

Calls

4 calls:

2.6s	(+.f64 x (-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a)))
2.4s	(exp.f64 (+.f64 x (-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a))))
1.7s	(-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a))
257.0ms	(*.f64 (tan.f64 y) (tan.f64 z))

Compiler

Compiled 9856 to 4319 computations (56.2% saved)

simplify159.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

142 → 142

Iterations

Useful iterations: 0 (88.0ms)

Iter	Nodes	Cost
0	4990	7109
1	4990	7109

prune258.0ms (0.5%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	139	3	142
Fresh	4	6	10
Picked	1	0	1
Done	0	0	0
Total	144	9	153

Error

0.0b

Counts

153 → 9

Compiler

Compiled 5808 to 2012 computations (65.4% saved)

localize23.0ms (0%)

Local error

Found 4 expressions with local error:

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))
0.3b	(.f64 (exp.f64 x) (exp.f64 (-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a))))
0.6b	(exp.f64 (-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a)))

rewrite202.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

26×	`add-sqr-sqrt_binary64`
21×	`*-un-lft-identity_binary64`
12×	`add-cube-cbrt_binary64`
10×	`exp-prod_binary64` `associate-r_binary64`
9×	`cancel-sign-sub-inv_binary64` `add-log-exp_binary64`
8×	`pow1_binary64` `exp-sum_binary64` `add-cbrt-cube_binary64`
6×	`add-exp-log_binary64` `associate-l_binary64`
5×	`tan-quot_binary64`
4×	`difference-of-squares_binary64`
3×	`distribute-lft-out--_binary64` `sub-neg_binary64`
2×	`times-frac_binary64` `exp-diff_binary64` `diff-log_binary64` `rem-exp-log_binary64` `pow-prod-down_binary64` `pow-prod-up_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `associate-r/_binary64` `-commutative_binary64`
1×	`frac-times_binary64` `associate-*l/_binary64` `frac-sub_binary64` `flip3--_binary64` `flip--_binary64`

Counts

4 → 84

Calls

4 calls:

26.0ms	(.f64 (exp.f64 x) (exp.f64 (-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a))))
19.0ms	(-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a))
14.0ms	(exp.f64 (-.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))

Compiler

Compiled 2677 to 968 computations (63.8% saved)

series6.0s (11.3%)

Error

0.0b

Counts

4 → 63

Calls

4 calls:

2.5s	(.f64 (exp.f64 x) (exp.f64 (-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a))))
1.8s	(exp.f64 (-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a)))
1.4s	(-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a))
222.0ms	(*.f64 (tan.f64 y) (tan.f64 z))

Compiler

Compiled 11804 to 4848 computations (58.9% saved)

simplify85.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

147 → 147

Iterations

Useful iterations: 0 (20.0ms)

Iter	Nodes	Cost
0	5083	8735

prune217.0ms (0.4%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	147	0	147
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	147	9	156

Error

0.0b

Counts

156 → 9

Compiler

Compiled 6706 to 2094 computations (68.8% saved)

regimes2.0s (3.7%)

Accuracy

Total 0.2b remaining (76.4%)

Threshold costs 0.2b (76.4%)

Compiler

Compiled 25669 to 16995 computations (33.8% saved)

bsearch0.0ms (0%)

simplify10.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	52	29
1	52	29

Remove

(sort y z)

Compiler

Compiled 36 to 28 computations (22.2% saved)

end0.0ms (0%)

sample4.9s (9.1%)

Algorithm

1×

intervals

Results

1.2s	4544×	body	1024	valid
565.0ms	8000×	pre	128	true
237.0ms	1393×	body	512	valid
131.0ms	208×	body	2048	valid
79.0ms	1336×	body	128	valid
64.0ms	519×	body	256	valid

Compiler

Compiled 2774 to 1848 computations (33.4% saved)

Details

analyze24.7s (46.3%)

sample139.0ms (0.3%)

simplify14.0ms (0%)

prune7.0ms (0%)

localize15.0ms (0%)

rewrite149.0ms (0.3%)

series1.5s (2.8%)

simplify115.0ms (0.2%)

prune134.0ms (0.3%)

localize22.0ms (0%)

rewrite153.0ms (0.3%)

series5.1s (9.5%)

simplify93.0ms (0.2%)

prune211.0ms (0.4%)

localize19.0ms (0%)

rewrite185.0ms (0.3%)

series7.1s (13.3%)

simplify159.0ms (0.3%)

prune258.0ms (0.5%)

localize23.0ms (0%)

rewrite202.0ms (0.4%)

series6.0s (11.3%)

simplify85.0ms (0.2%)

prune217.0ms (0.4%)

regimes2.0s (3.7%)

bsearch0.0ms (0%)

simplify10.0ms (0%)

end0.0ms (0%)

sample4.9s (9.1%)

Profiling