Details

analyze19.9s (48.3%)

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)

sample115.0ms (0.3%)

Algorithm

1×

intervals

Results

41.0ms	154×	body	1024	valid
18.0ms	256×	pre	128	true
8.0ms	46×	body	512	valid
3.0ms	7×	body	2048	valid
2.0ms	16×	body	256	valid
2.0ms	33×	body	128	valid

Compiler

Compiled 54 to 50 computations (7.4% saved)

simplify15.0ms (0%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (9.0ms)

Iter	Nodes	Cost
0	186	14
1	186	14

prune4.0ms (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

14.4b

Counts

2 → 1

Compiler

Compiled 18 to 18 computations (0% saved)

localize11.0ms (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))
5.1b	(tan.f64 (+.f64 y z))

rewrite79.0ms (0.2%)

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:

10.0ms	(tan.f64 (+.f64 y z))
7.0ms	(-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))
6.0ms	(+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)))

Compiler

Compiled 790 to 187 computations (76.3% saved)

series1.3s (3.1%)

Error

13.6b

Counts

3 → 49

Calls

3 calls:

593.0ms	(+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)))
425.0ms	(-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))
181.0ms	(tan.f64 (+.f64 y z))

Compiler

Compiled 3019 to 1738 computations (42.4% saved)

simplify83.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4975	2485
1	4975	2485

prune108.0ms (0.3%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	87	8	95
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	88	8	96

Error

0.1b

Counts

96 → 8

Compiler

Compiled 2060 to 602 computations (70.8% saved)

localize16.0ms (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))
0.3b	(*.f64 (tan.f64 y) (tan.f64 z))

rewrite142.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

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:

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))
5.0ms	(*.f64 (tan.f64 y) (tan.f64 z))
4.0ms	(+.f64 (tan.f64 y) (tan.f64 z))

Compiler

Compiled 1999 to 656 computations (67.2% saved)

series4.0s (9.7%)

Error

0.1b

Counts

4 → 55

Calls

4 calls:

2.1s	(+.f64 x (-.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))
211.0ms	(*.f64 (tan.f64 y) (tan.f64 z))
199.0ms	(+.f64 (tan.f64 y) (tan.f64 z))

Compiler

Compiled 5191 to 2680 computations (48.4% saved)

simplify80.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5007	4456

prune176.0ms (0.4%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	119	7	126
Fresh	5	2	7
Picked	1	0	1
Done	0	0	0
Total	125	9	134

Error

0.1b

Counts

134 → 9

Compiler

Compiled 4068 to 1339 computations (67.1% saved)

localize22.0ms (0.1%)

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

rewrite153.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

17×	`add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
11×	`add-exp-log_binary64` `add-log-exp_binary64` `add-cbrt-cube_binary64`
10×	`add-cube-cbrt_binary64`
6×	`pow1_binary64` `cancel-sign-sub-inv_binary64`
4×	`times-frac_binary64` `associate-+r+_binary64`
3×	`tan-quot_binary64` `associate-l_binary64` `associate-r_binary64` `associate-/r*_binary64`
2×	`prod-exp_binary64` `cbrt-unprod_binary64` `associate-*r/_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `diff-log_binary64` `sub-neg_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `sum-log_binary64` `distribute-lft-out_binary64`
1×	`pow-prod-down_binary64` `unswap-sqr_binary64` `-commutative_binary64` `frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64` `associate-/l/_binary64` `associate-/l_binary64` `frac-sub_binary64` `flip3--_binary64` `flip--_binary64` `flip3-+_binary64` `flip-+_binary64` `associate-+r-_binary64` `+-commutative_binary64`

Counts

4 → 78

Calls

4 calls:

21.0ms	(+.f64 x (-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (/.f64 (*.f64 (sin.f64 y) (tan.f64 z)) (cos.f64 y)))) (tan.f64 a)))
20.0ms	(-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (/.f64 (*.f64 (sin.f64 y) (tan.f64 z)) (cos.f64 y)))) (tan.f64 a))
6.0ms	(/.f64 (*.f64 (sin.f64 y) (tan.f64 z)) (cos.f64 y))
5.0ms	(*.f64 (sin.f64 y) (tan.f64 z))

Compiler

Compiled 2469 to 729 computations (70.5% saved)

series4.1s (9.9%)

Error

0.1b

Counts

4 → 52

Calls

4 calls:

2.2s	(+.f64 x (-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (/.f64 (*.f64 (sin.f64 y) (tan.f64 z)) (cos.f64 y)))) (tan.f64 a)))
1.5s	(-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (/.f64 (*.f64 (sin.f64 y) (tan.f64 z)) (cos.f64 y)))) (tan.f64 a))
217.0ms	(/.f64 (*.f64 (sin.f64 y) (tan.f64 z)) (cos.f64 y))
144.0ms	(*.f64 (sin.f64 y) (tan.f64 z))

Compiler

Compiled 5114 to 2635 computations (48.5% saved)

simplify99.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4986	4736
1	4986	4736

prune150.0ms (0.4%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	129	1	130
Fresh	1	7	8
Picked	0	1	1
Done	0	0	0
Total	130	9	139

Error

0.1b

Counts

139 → 9

Compiler

Compiled 4400 to 1371 computations (68.8% saved)

localize18.0ms (0%)

Local error

Found 4 expressions with local error:

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

rewrite149.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

28×	`add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
21×	`add-cube-cbrt_binary64`
19×	`times-frac_binary64`
13×	`associate-l_binary64`
11×	`add-exp-log_binary64` `add-log-exp_binary64` `add-cbrt-cube_binary64`
6×	`pow1_binary64` `tan-quot_binary64`
3×	`associate-r_binary64` `associate-/l_binary64` `associate-/r_binary64` `cancel-sign-sub-inv_binary64`
2×	`div-exp_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `div-inv_binary64` `sum-log_binary64` `flip3-+_binary64` `flip-+_binary64` `distribute-lft-out_binary64` `diff-log_binary64` `frac-sub_binary64` `distribute-lft-out--_binary64`
1×	`pow-prod-down_binary64` `frac-times_binary64` `associate-l/_binary64` `associate-r/_binary64` `*-commutative_binary64` `quot-tan_binary64` `frac-2neg_binary64` `clear-num_binary64` `frac-add_binary64` `+-commutative_binary64` `flip3--_binary64` `sub-neg_binary64` `flip--_binary64` `difference-of-squares_binary64` `associate--l+_binary64`

Counts

4 → 96

Calls

4 calls:

16.0ms	(-.f64 (+.f64 x (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (-.f64 1 (*.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (tan.f64 z))))) (tan.f64 a))
8.0ms	(*.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (tan.f64 z))
4.0ms	(+.f64 (tan.f64 z) (tan.f64 y))
4.0ms	(/.f64 (sin.f64 y) (cos.f64 y))

Compiler

Compiled 3063 to 895 computations (70.8% saved)

series2.7s (6.5%)

Error

0.1b

Counts

4 → 42

Calls

4 calls:

2.2s	(-.f64 (+.f64 x (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (-.f64 1 (*.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (tan.f64 z))))) (tan.f64 a))
220.0ms	(*.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (tan.f64 z))
194.0ms	(+.f64 (tan.f64 z) (tan.f64 y))
34.0ms	(/.f64 (sin.f64 y) (cos.f64 y))

Compiler

Compiled 3657 to 1917 computations (47.6% saved)

simplify97.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4965	3889
1	4965	3889

prune147.0ms (0.4%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	135	3	138
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	135	12	147

Error

0.0b

Counts

147 → 12

Compiler

Compiled 4181 to 1199 computations (71.3% saved)

regimes2.2s (5.4%)

Accuracy

Total 0.3b remaining (86.5%)

Threshold costs 0.3b (86.5%)

Compiler

Compiled 32232 to 19823 computations (38.5% saved)

bsearch0.0ms (0%)

simplify11.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	58	42
1	58	42

Compiler

Compiled 50 to 42 computations (16% saved)

end0.0ms (0%)

sample5.4s (13%)

Algorithm

1×

intervals

Results

1.2s	4559×	body	1024	valid
539.0ms	8000×	pre	128	true
229.0ms	1365×	body	512	valid
175.0ms	210×	body	2048	valid
78.0ms	1367×	body	128	valid
56.0ms	499×	body	256	valid

Compiler

Compiled 3541 to 2186 computations (38.3% saved)

Details

analyze19.9s (48.3%)

sample115.0ms (0.3%)

simplify15.0ms (0%)

prune4.0ms (0%)

localize11.0ms (0%)

rewrite79.0ms (0.2%)

series1.3s (3.1%)

simplify83.0ms (0.2%)

prune108.0ms (0.3%)

localize16.0ms (0%)

rewrite142.0ms (0.3%)

series4.0s (9.7%)

simplify80.0ms (0.2%)

prune176.0ms (0.4%)

localize22.0ms (0.1%)

rewrite153.0ms (0.4%)

series4.1s (9.9%)

simplify99.0ms (0.2%)

prune150.0ms (0.4%)

localize18.0ms (0%)

rewrite149.0ms (0.4%)

series2.7s (6.5%)

simplify97.0ms (0.2%)

prune147.0ms (0.4%)

regimes2.2s (5.4%)

bsearch0.0ms (0%)

simplify11.0ms (0%)

end0.0ms (0%)

sample5.4s (13%)

Profiling