Details

analyze251.0ms (4.1%)

Algorithm

2×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4924	30
1	4924	30
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	0
99.9%	0%	0.1%	1
99.9%	0%	0.1%	1

Compiler

Compiled 22 to 24 computations (-9.1% saved)

sample171.0ms (2.8%)

Algorithm

2×

intervals

Results

25.0ms	123×	body	1024	valid
9.0ms	268×	body	128	valid
8.0ms	68×	body	512	valid
3.0ms	16×	body	2048	valid
3.0ms	37×	body	256	valid

Compiler

Compiled 2848 to 3623 computations (-27.2% saved)

simplify76.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4758	15
1	4758	15

prune3.0ms (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

28.7b

Counts

2 → 1

Compiler

Compiled 20 to 22 computations (-10% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 1 (exp.f64 (*.f64 -2 x)))
0.0b	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
2.5b	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)

rewrite125.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

28.2b

Rules

27×	`*-un-lft-identity_binary64_760`
24×	`add-sqr-sqrt_binary64_782`
15×	`times-frac_binary64_766`
13×	`add-cube-cbrt_binary64_795`
7×	`add-log-exp_binary64_799`
5×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796` `distribute-lft-out_binary64_711`
4×	`difference-of-squares_binary64_729` `associate-/r*_binary64_704`
3×	`pow1_binary64_821` `cancel-sign-sub-inv_binary64_726` `associate-/l*_binary64_705`
2×	`difference-of-sqr-1_binary64_730` `flip3-+_binary64_763` `associate-/r/_binary64_706` `flip-+_binary64_734`
1×	`diff-log_binary64_852` `flip3--_binary64_764` `sub-neg_binary64_753` `flip--_binary64_735` `distribute-lft-out--_binary64_712` `div-exp_binary64_811` `cbrt-undiv_binary64_794` `frac-2neg_binary64_771` `clear-num_binary64_759` `div-inv_binary64_757` `sum-log_binary64_851` `+-commutative_binary64_690`

Counts

3 → 66

Calls

3 calls:

11.0ms	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
5.0ms	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
3.0ms	(+.f64 1 (exp.f64 (*.f64 -2 x)))

Compiler

Compiled 1302 to 1188 computations (8.8% saved)

series173.0ms (2.8%)

Error

0.0b

Counts

3 → 18

Calls

3 calls:

82.0ms	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
52.0ms	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
21.0ms	(+.f64 1 (exp.f64 (*.f64 -2 x)))

Compiler

Compiled 444 to 432 computations (2.7% saved)

simplify93.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	4838	1469
1	4838	1469

prune100.0ms (1.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	82	2	84
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	82	3	85

Error

0.0b

Counts

85 → 3

Compiler

Compiled 1370 to 1234 computations (9.9% saved)

localize16.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 17/315 (pow.f64 x 7))
0.1b	(*.f64 2/15 (pow.f64 x 5))
0.2b	(*.f64 1/3 (pow.f64 x 3))
22.4b	(-.f64 (+.f64 x (.f64 2/15 (pow.f64 x 5))) (+.f64 (.f64 1/3 (pow.f64 x 3)) (*.f64 17/315 (pow.f64 x 7))))

rewrite259.0ms (4.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

34×	`add-sqr-sqrt_binary64_782`
26×	`associate-r_binary64_700`
19×	`add-exp-log_binary64_798`
17×	`*-un-lft-identity_binary64_760`
16×	`add-log-exp_binary64_799`
15×	`add-cube-cbrt_binary64_795`
12×	`unpow-prod-down_binary64_839`
10×	`add-cbrt-cube_binary64_796` `unswap-sqr_binary64_728`
9×	`prod-exp_binary64_809` `associate-l_binary64_701`
6×	`sqr-pow_binary64_732`
4×	`sum-log_binary64_851` `diff-log_binary64_852` `pow1_binary64_821` `flip3-+_binary64_763` `frac-sub_binary64_769` `flip-+_binary64_734` `cube-prod_binary64_788`
3×	`cancel-sign-sub-inv_binary64_726` `pow-to-exp_binary64_829` `pow-exp_binary64_828` `cbrt-unprod_binary64_793` `*-commutative_binary64_691`
1×	`flip3--_binary64_764` `sub-neg_binary64_753` `flip--_binary64_735` `difference-of-squares_binary64_729` `distribute-lft-out--_binary64_712` `associate--l+_binary64_697` `associate--r+_binary64_696` `unpow3_binary64_826` `cube-mult_binary64_790`

Counts

4 → 106

Calls

4 calls:

11.0ms	(-.f64 (+.f64 x (.f64 2/15 (pow.f64 x 5))) (+.f64 (.f64 1/3 (pow.f64 x 3)) (*.f64 17/315 (pow.f64 x 7))))
7.0ms	(*.f64 1/3 (pow.f64 x 3))
6.0ms	(*.f64 17/315 (pow.f64 x 7))
5.0ms	(*.f64 2/15 (pow.f64 x 5))

Compiler

Compiled 3201 to 2556 computations (20.1% saved)

series284.0ms (4.6%)

Error

0.0b

Counts

4 → 17

Calls

4 calls:

79.0ms	(-.f64 (+.f64 x (.f64 2/15 (pow.f64 x 5))) (+.f64 (.f64 1/3 (pow.f64 x 3)) (*.f64 17/315 (pow.f64 x 7))))
77.0ms	(*.f64 17/315 (pow.f64 x 7))
62.0ms	(*.f64 2/15 (pow.f64 x 5))
49.0ms	(*.f64 1/3 (pow.f64 x 3))

Compiler

Compiled 691 to 603 computations (12.7% saved)

simplify52.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5542	2199

prune214.0ms (3.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	122	1	123
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	123	3	126

Error

Counts

126 → 3

Compiler

Compiled 3129 to 2482 computations (20.7% saved)

localize16.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (pow.f64 x 7) -17/315)
0.1b	(*.f64 2/15 (pow.f64 x 5))
0.2b	(*.f64 1/3 (pow.f64 x 3))
22.4b	(+.f64 (.f64 2/15 (pow.f64 x 5)) (-.f64 (.f64 (pow.f64 x 7) -17/315) (*.f64 1/3 (pow.f64 x 3))))

rewrite204.0ms (3.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

31×	`add-sqr-sqrt_binary64_782`
22×	`associate-r_binary64_700`
19×	`add-exp-log_binary64_798`
14×	`add-cube-cbrt_binary64_795` `*-un-lft-identity_binary64_760`
13×	`associate-l_binary64_701`
12×	`unpow-prod-down_binary64_839`
10×	`add-cbrt-cube_binary64_796` `unswap-sqr_binary64_728`
9×	`add-log-exp_binary64_799` `prod-exp_binary64_809`
6×	`sqr-pow_binary64_732`
4×	`pow1_binary64_821` `cube-prod_binary64_788`
3×	`pow-to-exp_binary64_829` `pow-exp_binary64_828` `cbrt-unprod_binary64_793` `*-commutative_binary64_691`
2×	`sum-log_binary64_851` `associate-+r+_binary64_692`
1×	`diff-log_binary64_852` `flip3-+_binary64_763` `flip-+_binary64_734` `associate-+r-_binary64_694` `sub-neg_binary64_753` `cancel-sign-sub-inv_binary64_726` `+-commutative_binary64_690` `unpow3_binary64_826` `cube-mult_binary64_790`

Counts

4 → 96

Calls

4 calls:

9.0ms	(+.f64 (.f64 2/15 (pow.f64 x 5)) (-.f64 (.f64 (pow.f64 x 7) -17/315) (*.f64 1/3 (pow.f64 x 3))))
7.0ms	(*.f64 1/3 (pow.f64 x 3))
5.0ms	(*.f64 2/15 (pow.f64 x 5))
5.0ms	(*.f64 (pow.f64 x 7) -17/315)

Compiler

Compiled 2535 to 2029 computations (20% saved)

series550.0ms (8.9%)

Error

Counts

4 → 18

Calls

4 calls:

330.0ms	(+.f64 (.f64 2/15 (pow.f64 x 5)) (-.f64 (.f64 (pow.f64 x 7) -17/315) (*.f64 1/3 (pow.f64 x 3))))
81.0ms	(*.f64 (pow.f64 x 7) -17/315)
69.0ms	(*.f64 2/15 (pow.f64 x 5))
52.0ms	(*.f64 1/3 (pow.f64 x 3))

Compiler

Compiled 804 to 692 computations (13.9% saved)

simplify68.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5253	1483

prune179.0ms (2.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	114	0	114
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	114	3	117

Error

Counts

117 → 3

Compiler

Compiled 2665 to 2115 computations (20.6% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2))))
0.0b	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2))))
2.5b	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2)))) 1)
2.5b	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2)))) 1)

rewrite304.0ms (5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

48×	`*-un-lft-identity_binary64_760`
46×	`add-sqr-sqrt_binary64_782`
30×	`times-frac_binary64_766`
24×	`add-cube-cbrt_binary64_795`
8×	`add-log-exp_binary64_799` `add-exp-log_binary64_798` `add-cbrt-cube_binary64_796` `difference-of-squares_binary64_729` `distribute-lft-out_binary64_711` `associate-/r*_binary64_704`
6×	`cancel-sign-sub-inv_binary64_726` `associate-/l*_binary64_705`
4×	`pow1_binary64_821` `difference-of-sqr-1_binary64_730` `associate-/r/_binary64_706`
2×	`diff-log_binary64_852` `flip3--_binary64_764` `sub-neg_binary64_753` `flip--_binary64_735` `distribute-lft-out--_binary64_712` `div-exp_binary64_811` `cbrt-undiv_binary64_794` `frac-2neg_binary64_771` `clear-num_binary64_759` `div-inv_binary64_757` `flip3-+_binary64_763` `flip-+_binary64_734`

Counts

4 → 108

Calls

4 calls:

14.0ms	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2)))) 1)
12.0ms	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2)))) 1)
6.0ms	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2))))
5.0ms	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2))))

Compiler

Compiled 3582 to 3288 computations (8.2% saved)

series274.0ms (4.5%)

Error

Counts

4 → 14

Calls

4 calls:

77.0ms	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2)))) 1)
66.0ms	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2)))) 1)
59.0ms	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2))))
54.0ms	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2))))

Compiler

Compiled 856 to 829 computations (3.2% saved)

simplify79.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5038	2322

prune251.0ms (4.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	122	0	122
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	122	3	125

Error

Counts

125 → 3

Compiler

Compiled 3616 to 3308 computations (8.5% saved)

regimes694.0ms (11.3%)

Accuracy

Total 0.0b remaining (96.9%)

Threshold costs 0.0b (96.9%)

Compiler

Compiled 4834 to 4760 computations (1.5% saved)

bsearch3.0ms (0%)

Compiler: Compiled 3 to 4 computations (-33.3% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	93	122
1	93	122

end0.0ms (0%)

sample1.7s (27.5%)

Algorithm

1×

intervals

Results

395.0ms	1986×	body	1024	valid
160.0ms	4286×	body	128	valid
114.0ms	967×	body	512	valid
56.0ms	215×	body	2048	valid
42.0ms	546×	body	256	valid

Compiler

Compiled 612 to 590 computations (3.6% saved)

Details

analyze251.0ms (4.1%)

sample171.0ms (2.8%)

simplify76.0ms (1.2%)

prune3.0ms (0%)

localize7.0ms (0.1%)

rewrite125.0ms (2%)

series173.0ms (2.8%)

simplify93.0ms (1.5%)

prune100.0ms (1.6%)

localize16.0ms (0.3%)

rewrite259.0ms (4.2%)

series284.0ms (4.6%)

simplify52.0ms (0.8%)

prune214.0ms (3.5%)

localize16.0ms (0.3%)

rewrite204.0ms (3.3%)

series550.0ms (8.9%)

simplify68.0ms (1.1%)

prune179.0ms (2.9%)

localize9.0ms (0.1%)

rewrite304.0ms (5%)

series274.0ms (4.5%)

simplify79.0ms (1.3%)

prune251.0ms (4.1%)

regimes694.0ms (11.3%)

bsearch3.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.7s (27.5%)

Profiling