Details

analyze1.7s (15.5%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1005	14
1	1005	14
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	100%	0%	3
0%	100%	0%	4
0%	100%	0%	5
0%	100%	0%	6
0%	100%	0%	7
0%	100%	0%	8
0%	100%	0%	9
0%	100%	0%	10
0%	100%	0%	11
0%	100%	0%	12
0%	100%	0%	13
0.1%	99.9%	0%	14

Compiler

Compiled 10 to 7 computations (30% saved)

sample169.0ms (1.6%)

Algorithm

1×

intervals

Results

100.0ms	57×	body	2048	valid
32.0ms	100×	body	1024	valid
11.0ms	57×	body	512	valid
7.0ms	7×	body	4096	valid
3.0ms	22×	body	256	valid
2.0ms	13×	body	128	valid

Compiler

Compiled 19 to 14 computations (26.3% saved)

simplify78.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	1005	14
1	1005	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

32.8b

Counts

2 → 1

Compiler

Compiled 18 to 12 computations (33.3% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
1.2b	(-.f64 x (tan.f64 x))
1.2b	(-.f64 x (sin.f64 x))

rewrite102.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

31.8b

Rules

45×	`add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
25×	`times-frac_binary64`
17×	`add-cube-cbrt_binary64`
14×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
7×	`add-log-exp_binary64`
6×	`cancel-sign-sub-inv_binary64`
5×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-/l_binary64` `associate-/r_binary64`
4×	`flip3--_binary64` `flip--_binary64`
3×	`pow1_binary64`
2×	`diff-log_binary64` `sub-neg_binary64` `associate-/l/_binary64` `associate-/r/_binary64`
1×	`div-exp_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `div-sub_binary64` `clear-num_binary64` `div-inv_binary64`

Counts

3 → 84

Calls

3 calls:

15.0ms	(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
6.0ms	(-.f64 x (sin.f64 x))
3.0ms	(-.f64 x (tan.f64 x))

Compiler

Compiled 1513 to 300 computations (80.2% saved)

series233.0ms (2.2%)

Error

0.0b

Counts

3 → 23

Calls

3 calls:

112.0ms	(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
58.0ms	(-.f64 x (tan.f64 x))
39.0ms	(-.f64 x (sin.f64 x))

Compiler

Compiled 878 to 528 computations (39.9% saved)

simplify72.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4957	2110
1	4957	2110

prune81.0ms (0.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	105	2	107
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	105	3	108

Error

0.0b

Counts

108 → 3

Compiler

Compiled 1796 to 394 computations (78.1% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.1b	(*.f64 27/2800 (pow.f64 x 4))
0.1b	(.f64 9/40 (.f64 x x))
15.8b	(-.f64 (.f64 9/40 (.f64 x x)) (+.f64 1/2 (*.f64 27/2800 (pow.f64 x 4))))

rewrite91.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

14×	`add-sqr-sqrt_binary64`
13×	`add-exp-log_binary64`
10×	`add-cbrt-cube_binary64`
8×	`add-log-exp_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `-un-lft-identity_binary64` `associate-r*_binary64`
6×	`prod-exp_binary64` `associate-l_binary64`
4×	`cbrt-unprod_binary64` `unswap-sqr_binary64` `unpow-prod-down_binary64`
3×	`cancel-sign-sub-inv_binary64` `pow-prod-down_binary64`
2×	`diff-log_binary64` `*-commutative_binary64` `sqr-pow_binary64`
1×	`sum-log_binary64` `flip3--_binary64` `sub-neg_binary64` `flip--_binary64` `associate--r+_binary64` `pow-to-exp_binary64` `pow-exp_binary64`

Counts

3 → 60

Calls

3 calls:

8.0ms	(-.f64 (.f64 9/40 (.f64 x x)) (+.f64 1/2 (*.f64 27/2800 (pow.f64 x 4))))
5.0ms	(*.f64 27/2800 (pow.f64 x 4))
5.0ms	(.f64 9/40 (.f64 x x))

Compiler

Compiled 1235 to 905 computations (26.7% saved)

series106.0ms (1%)

Error

0.0b

Counts

3 → 11

Calls

3 calls:

39.0ms	(-.f64 (.f64 9/40 (.f64 x x)) (+.f64 1/2 (*.f64 27/2800 (pow.f64 x 4))))
34.0ms	(*.f64 27/2800 (pow.f64 x 4))
25.0ms	(.f64 9/40 (.f64 x x))

Compiler

Compiled 331 to 289 computations (12.7% saved)

simplify90.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	4889	858
1	4889	858

prune72.0ms (0.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	70	1	71
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	71	3	74

Error

Counts

74 → 3

Compiler

Compiled 1201 to 876 computations (27.1% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 27/2800 (pow.f64 x 4))
0.1b	(.f64 9/40 (.f64 x x))
1.6b	(log.f64 (exp.f64 (.f64 9/40 (.f64 x x))))
19.4b	(-.f64 (log.f64 (exp.f64 (.f64 9/40 (.f64 x x)))) (+.f64 1/2 (*.f64 27/2800 (pow.f64 x 4))))

rewrite131.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

19×	`add-sqr-sqrt_binary64`
14×	`add-exp-log_binary64` `*-un-lft-identity_binary64`
11×	`pow1_binary64` `add-cbrt-cube_binary64` `add-cube-cbrt_binary64`
8×	`add-log-exp_binary64` `associate-r_binary64`
6×	`log-prod_binary64` `prod-exp_binary64` `associate-l_binary64`
4×	`log-pow_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `unpow-prod-down_binary64`
3×	`cancel-sign-sub-inv_binary64` `associate--l+_binary64` `pow-prod-down_binary64`
2×	`diff-log_binary64` `distribute-lft-out--_binary64` `*-commutative_binary64` `sqr-pow_binary64`
1×	`sum-log_binary64` `flip3--_binary64` `sub-neg_binary64` `flip--_binary64` `difference-of-squares_binary64` `associate--r+_binary64` `exp-to-pow_binary64` `exp-prod_binary64` `rem-log-exp_binary64` `pow-to-exp_binary64` `pow-exp_binary64`

Counts

4 → 80

Calls

4 calls:

8.0ms	(-.f64 (log.f64 (exp.f64 (.f64 9/40 (.f64 x x)))) (+.f64 1/2 (*.f64 27/2800 (pow.f64 x 4))))
6.0ms	(.f64 9/40 (.f64 x x))
6.0ms	(*.f64 27/2800 (pow.f64 x 4))
2.0ms	(log.f64 (exp.f64 (.f64 9/40 (.f64 x x))))

Compiler

Compiled 1811 to 1364 computations (24.7% saved)

series363.0ms (3.4%)

Error

Counts

4 → 16

Calls

4 calls:

206.0ms	(-.f64 (log.f64 (exp.f64 (.f64 9/40 (.f64 x x)))) (+.f64 1/2 (*.f64 27/2800 (pow.f64 x 4))))
78.0ms	(log.f64 (exp.f64 (.f64 9/40 (.f64 x x))))
38.0ms	(*.f64 27/2800 (pow.f64 x 4))
28.0ms	(.f64 9/40 (.f64 x x))

Compiler

Compiled 564 to 504 computations (10.6% saved)

simplify75.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4918	1216
1	4918	1216

prune106.0ms (1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	96	0	96
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	96	3	99

Error

Counts

99 → 3

Compiler

Compiled 1747 to 1298 computations (25.7% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(/.f64 (sin.f64 x) (-.f64 x (tan.f64 x)))
1.1b	(-.f64 (/.f64 x (-.f64 x (tan.f64 x))) (/.f64 (sin.f64 x) (-.f64 x (tan.f64 x))))
1.2b	(-.f64 x (tan.f64 x))
1.2b	(-.f64 x (tan.f64 x))

rewrite143.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

71×	`*-un-lft-identity_binary64`
61×	`add-sqr-sqrt_binary64`
48×	`times-frac_binary64`
27×	`add-cube-cbrt_binary64` `cancel-sign-sub-inv_binary64`
21×	`distribute-lft-out--_binary64`
15×	`difference-of-squares_binary64`
10×	`add-log-exp_binary64`
8×	`associate-/r/_binary64`
7×	`flip3--_binary64` `flip--_binary64`
6×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`associate-/r*_binary64`
4×	`pow1_binary64` `div-inv_binary64`
3×	`diff-log_binary64` `sub-neg_binary64` `distribute-rgt-out--_binary64` `associate-/l*_binary64`
1×	`frac-sub_binary64` `sub-div_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `clear-num_binary64`

Counts

4 → 118

Calls

4 calls:

32.0ms	(-.f64 (/.f64 x (-.f64 x (tan.f64 x))) (/.f64 (sin.f64 x) (-.f64 x (tan.f64 x))))
7.0ms	(/.f64 (sin.f64 x) (-.f64 x (tan.f64 x)))
4.0ms	(-.f64 x (tan.f64 x))
4.0ms	(-.f64 x (tan.f64 x))

Compiler

Compiled 2808 to 489 computations (82.6% saved)

series372.0ms (3.5%)

Error

Counts

4 → 31

Calls

4 calls:

149.0ms	(-.f64 (/.f64 x (-.f64 x (tan.f64 x))) (/.f64 (sin.f64 x) (-.f64 x (tan.f64 x))))
85.0ms	(/.f64 (sin.f64 x) (-.f64 x (tan.f64 x)))
58.0ms	(-.f64 x (tan.f64 x))
56.0ms	(-.f64 x (tan.f64 x))

Compiler

Compiled 1513 to 859 computations (43.2% saved)

simplify91.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

149 → 149

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4943	3009
1	4943	3009

prune107.0ms (1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	149	0	149
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	149	3	152

Error

Counts

152 → 3

Compiler

Compiled 3089 to 551 computations (82.2% saved)

regimes147.0ms (1.4%)

Accuracy

Total 0.0b remaining (52.2%)

Threshold costs 0.0b (52.2%)

Compiler

Compiled 1169 to 780 computations (33.3% saved)

bsearch61.0ms (0.6%)

Steps

Iters	Range		Point
9	0.0010676440095607226	48315.44055431785	0.03205460313101732
11	-32700.857052817322	-9.971483357033686e-16	-0.036947823895944455

Compiler

Compiled 1 to 1 computations (0% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	130	87
1	130	87

end0.0ms (0%)

sample6.3s (59%)

Algorithm

1×

intervals

Results

3.8s	2056×	body	2048	valid
1.1s	3010×	body	1024	valid
276.0ms	1453×	body	512	valid
112.0ms	755×	body	256	valid
110.0ms	111×	body	4096	valid
54.0ms	615×	body	128	valid

Compiler

Compiled 625 to 411 computations (34.2% saved)

Details

analyze1.7s (15.5%)

sample169.0ms (1.6%)

simplify78.0ms (0.7%)

prune4.0ms (0%)

localize9.0ms (0.1%)

rewrite102.0ms (0.9%)

series233.0ms (2.2%)

simplify72.0ms (0.7%)

prune81.0ms (0.8%)

localize9.0ms (0.1%)

rewrite91.0ms (0.8%)

series106.0ms (1%)

simplify90.0ms (0.8%)

prune72.0ms (0.7%)

localize11.0ms (0.1%)

rewrite131.0ms (1.2%)

series363.0ms (3.4%)

simplify75.0ms (0.7%)

prune106.0ms (1%)

localize9.0ms (0.1%)

rewrite143.0ms (1.3%)

series372.0ms (3.5%)

simplify91.0ms (0.8%)

prune107.0ms (1%)

regimes147.0ms (1.4%)

bsearch61.0ms (0.6%)

simplify4.0ms (0%)

end0.0ms (0%)

sample6.3s (59%)

Profiling