Details

analyze17.9s (58.1%)

Algorithm

1×

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

Compiler

Compiled 45 to 37 computations (17.8% saved)

sample118.0ms (0.4%)

Algorithm

1×

intervals

Results

51.0ms	148×	body	1024	valid
32.0ms	256×	pre	128	true
9.0ms	46×	body	512	valid
5.0ms	7×	body	2048	valid
2.0ms	40×	body	128	valid
2.0ms	15×	body	256	valid

Compiler

Compiled 54 to 50 computations (7.4% saved)

simplify181.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (8.0ms)

Iter	Nodes	Cost
0	177	14
1	177	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

Merged error: 13.9b

Counts

2 → 1

Compiler

Compiled 18 to 18 computations (0% saved)

localize12.0ms (0%)

Local error

Found 3 expressions with local error:

0.1b	(+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)))
0.1b	(-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))
3.5b	(tan.f64 (+.f64 y z))

rewrite25.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

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×	`associate-+r+_binary64` `tan-quot_binary64`
3×	`pow1_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`

Counts

3 → 46

Calls

3 calls:

8.0ms	(-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))
7.0ms	(+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)))
6.0ms	(tan.f64 (+.f64 y z))

series774.0ms (2.5%)

Counts

3 → 9

Calls

3 calls:

332.0ms	(+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)))
296.0ms	(-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))
145.0ms	(tan.f64 (+.f64 y z))

simplify111.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 0 (95.0ms)

Iter	Nodes	Cost
0	4826	932
1	4826	932

prune167.0ms (0.5%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	49	6	55
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	50	6	56

Merged error: 0.1b

Counts

56 → 6

Compiler

Compiled 2749 to 1558 computations (43.3% saved)

localize15.0ms (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 (tan.f64 y) (tan.f64 z)))) (tan.f64 a)))
0.1b	(+.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)))) (tan.f64 a))
0.2b	(*.f64 (tan.f64 y) (tan.f64 z))

rewrite50.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

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×	`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` `frac-sub_binary64` `frac-times_binary64` `associate-l/_binary64` `*-commutative_binary64`

Counts

4 → 71

Calls

4 calls:

17.0ms	(+.f64 x (-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a)))
15.0ms	(-.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))

series2.5s (8.3%)

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))
1.1s	(+.f64 x (-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a)))
195.0ms	(*.f64 (tan.f64 y) (tan.f64 z))
179.0ms	(+.f64 (tan.f64 y) (tan.f64 z))

simplify70.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5111	2163

prune332.0ms (1.1%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	76	7	83
Fresh	4	1	5
Picked	1	0	1
Done	0	0	0
Total	81	8	89

Merged error: 0.0b

Counts

89 → 8

Compiler

Compiled 6556 to 3480 computations (46.9% saved)

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(+.f64 (tan.f64 y) (tan.f64 z))
0.1b	(-.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))

rewrite47.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

22.0ms	(-.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))
6.0ms	(/.f64 (*.f64 (tan.f64 y) (sin.f64 z)) (cos.f64 z))
6.0ms	(*.f64 (tan.f64 y) (sin.f64 z))
5.0ms	(+.f64 (tan.f64 y) (tan.f64 z))

series1.6s (5.2%)

Counts

4 → 12

Calls

4 calls:

1.1s	(-.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))
202.0ms	(/.f64 (*.f64 (tan.f64 y) (sin.f64 z)) (cos.f64 z))
183.0ms	(+.f64 (tan.f64 y) (tan.f64 z))
123.0ms	(*.f64 (tan.f64 y) (sin.f64 z))

simplify73.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5134	1799

prune156.0ms (0.5%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	83	1	84
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	83	9	92

Merged error: 0.0b

Counts

92 → 9

Compiler

Compiled 3645 to 1495 computations (59% saved)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(+.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)))) (tan.f64 a))
0.2b	(*.f64 (tan.f64 y) (tan.f64 z))
2.5b	(exp.f64 (+.f64 (-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a)) x))

rewrite55.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`*-un-lft-identity_binary64`
15×	`add-sqr-sqrt_binary64`
14×	`add-log-exp_binary64`
8×	`add-cube-cbrt_binary64`
7×	`tan-quot_binary64`
6×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`exp-prod_binary64`
3×	`distribute-lft-out_binary64` `associate-r_binary64` `associate-l_binary64` `rem-exp-log_binary64` `cancel-sign-sub-inv_binary64` `sum-log_binary64`
2×	`diff-log_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `sub-neg_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `associate-r/_binary64` `frac-add_binary64` `associate-+l-_binary64` `exp-diff_binary64` `unswap-sqr_binary64` `exp-sum_binary64` `prod-exp_binary64` `times-frac_binary64` `+-commutative_binary64` `flip--_binary64` `flip-+_binary64` `frac-sub_binary64` `frac-times_binary64` `associate-l/_binary64` `*-commutative_binary64`

Counts

4 → 69

Calls

4 calls:

20.0ms	(exp.f64 (+.f64 (-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a)) x))
15.0ms	(-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a))
7.0ms	(*.f64 (tan.f64 y) (tan.f64 z))
5.0ms	(+.f64 (tan.f64 y) (tan.f64 z))

series2.9s (9.4%)

Counts

4 → 12

Calls

4 calls:

1.4s	(exp.f64 (+.f64 (-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a)) x))
1.1s	(-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a))
199.0ms	(*.f64 (tan.f64 y) (tan.f64 z))
184.0ms	(+.f64 (tan.f64 y) (tan.f64 z))

simplify69.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4952	1916
1	4952	1916

prune145.0ms (0.5%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	79	2	81
Fresh	0	7	7
Picked	1	0	1
Done	0	1	1
Total	80	10	90

Merged error: 0.0b

Counts

90 → 10

Compiler

Compiled 3260 to 1465 computations (55.1% saved)

regimes146.0ms (0.5%)

Compiler: Compiled 1662 to 1082 computations (34.9% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	62	34
1	62	34

end0.0ms (0%)

sample3.3s (10.7%)

Algorithm

1×

intervals

Results

1.5s	4566×	body	1024	valid
589.0ms	8000×	pre	128	true
273.0ms	1432×	body	512	valid
194.0ms	205×	body	2048	valid
73.0ms	1280×	body	128	valid
63.0ms	517×	body	256	valid

Compiler

Compiled 396 to 266 computations (32.8% saved)

Details

analyze17.9s (58.1%)

sample118.0ms (0.4%)

simplify181.0ms (0.6%)

prune4.0ms (0%)

localize12.0ms (0%)

rewrite25.0ms (0.1%)

series774.0ms (2.5%)

simplify111.0ms (0.4%)

prune167.0ms (0.5%)

localize15.0ms (0.1%)

rewrite50.0ms (0.2%)

series2.5s (8.3%)

simplify70.0ms (0.2%)

prune332.0ms (1.1%)

localize21.0ms (0.1%)

rewrite47.0ms (0.2%)

series1.6s (5.2%)

simplify73.0ms (0.2%)

prune156.0ms (0.5%)

localize19.0ms (0.1%)

rewrite55.0ms (0.2%)

series2.9s (9.4%)

simplify69.0ms (0.2%)

prune145.0ms (0.5%)

regimes146.0ms (0.5%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample3.3s (10.7%)

Profiling