Details

analyze1.7s (16.5%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	14
1	45	14
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	50%	50%	0
0%	50%	50%	1
0%	50%	50%	2
0%	50%	50%	3
0%	50%	50%	4
3.1%	46.8%	50%	5
4.7%	45.3%	50%	6
5.5%	44.5%	50%	7
5.9%	44.1%	50%	8
6%	43.9%	50%	9
6.1%	43.8%	50%	10
6.2%	43.8%	50%	11
6.2%	43.7%	50%	12
6.2%	43.7%	50%	13
6.2%	43.7%	50%	14

Compiler

Compiled 16 to 13 computations (18.8% saved)

sample167.0ms (1.7%)

Algorithm

1×

intervals

Results

106.0ms	138×	body	1024	valid
21.0ms	58×	body	512	valid
13.0ms	12×	body	2048	valid
6.0ms	32×	body	256	valid
5.0ms	256×	pre	128	true
1.0ms	16×	body	128	valid

Compiler

Compiled 25 to 22 computations (12% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	45	14
1	45	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

61.8b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
4.3b	(log.f64 (+.f64 1 x))
4.4b	(log.f64 (-.f64 1 x))

rewrite108.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

61.3b

Rules

20×	`*-un-lft-identity_binary64_760`
18×	`add-sqr-sqrt_binary64_782`
16×	`times-frac_binary64_766`
15×	`pow1_binary64_821` `add-cube-cbrt_binary64_795`
12×	`log-pow_binary64_849`
10×	`log-prod_binary64_846`
7×	`add-exp-log_binary64_798`
6×	`log-div_binary64_847`
5×	`add-cbrt-cube_binary64_796`
4×	`associate-/l_binary64_705` `associate-/r_binary64_704`
3×	`add-log-exp_binary64_799`
2×	`flip3--_binary64_764` `flip--_binary64_735` `difference-of-squares_binary64_729` `rem-log-exp_binary64_801` `div-sub_binary64_765`
1×	`distribute-lft-out--_binary64_712` `flip3-+_binary64_763` `flip-+_binary64_734` `distribute-lft-out_binary64_711` `div-exp_binary64_811` `cbrt-undiv_binary64_794` `frac-2neg_binary64_771` `clear-num_binary64_759` `div-inv_binary64_757`

Counts

3 → 70

Calls

3 calls:

6.0ms	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
4.0ms	(log.f64 (-.f64 1 x))
3.0ms	(log.f64 (+.f64 1 x))

Compiler

Compiled 1200 to 974 computations (18.8% saved)

series135.0ms (1.3%)

Error

0.0b

Counts

3 → 20

Calls

3 calls:

43.0ms	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
32.0ms	(log.f64 (-.f64 1 x))
24.0ms	(log.f64 (+.f64 1 x))

Compiler

Compiled 662 to 559 computations (15.6% saved)

simplify115.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (96.0ms)

Iter	Nodes	Cost
0	4971	1401
1	4971	1401

prune118.0ms (1.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	87	3	90
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	88	3	91

Error

0.0b

Counts

91 → 3

Compiler

Compiled 1320 to 1031 computations (21.9% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(.f64 x (-.f64 -1 (.f64 x (+.f64 1/2 (*.f64 x 5/12)))))
0.0b	(.f64 x (+.f64 1/2 (.f64 x 5/12)))
0.3b	(*.f64 x 5/12)

rewrite93.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

15×	`add-sqr-sqrt_binary64_782`
9×	`pow1_binary64_821` `add-exp-log_binary64_798` `add-cbrt-cube_binary64_796` `add-cube-cbrt_binary64_795` `-un-lft-identity_binary64_760` `associate-l_binary64_701` `associate-r*_binary64_700`
4×	`associate-*r/_binary64_702`
3×	`pow-prod-down_binary64_831` `prod-exp_binary64_809` `add-log-exp_binary64_799` `cbrt-unprod_binary64_793` `unswap-sqr_binary64_728` `*-commutative_binary64_691` `distribute-rgt-in_binary64_710` `distribute-lft-in_binary64_709`
2×	`sub-neg_binary64_753` `cancel-sign-sub-inv_binary64_726`
1×	`flip3-+_binary64_763` `flip-+_binary64_734` `flip3--_binary64_764` `flip--_binary64_735`

Counts

3 → 64

Calls

3 calls:

6.0ms	(.f64 x (-.f64 -1 (.f64 x (+.f64 1/2 (*.f64 x 5/12)))))
6.0ms	(.f64 x (+.f64 1/2 (.f64 x 5/12)))
4.0ms	(*.f64 x 5/12)

Compiler

Compiled 1314 to 1008 computations (23.3% saved)

series147.0ms (1.5%)

Error

0.0b

Counts

3 → 14

Calls

3 calls:

74.0ms	(.f64 x (+.f64 1/2 (.f64 x 5/12)))
40.0ms	(.f64 x (-.f64 -1 (.f64 x (+.f64 1/2 (*.f64 x 5/12)))))
24.0ms	(*.f64 x 5/12)

Compiler

Compiled 448 to 383 computations (14.5% saved)

simplify82.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4886	955
1	4886	955

prune92.0ms (0.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	78	3	81

Error

0.0b

Counts

81 → 3

Compiler

Compiled 1374 to 1044 computations (24% saved)

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (log.f64 (-.f64 1 (*.f64 x x))) (log.f64 (+.f64 x 1)))
2.3b	(log.f64 (-.f64 1 (*.f64 x x)))
4.3b	(log.f64 (+.f64 x 1))

rewrite114.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

18×	`*-un-lft-identity_binary64_760`
16×	`add-sqr-sqrt_binary64_782` `times-frac_binary64_766`
15×	`pow1_binary64_821` `add-cube-cbrt_binary64_795`
12×	`log-pow_binary64_849`
9×	`log-prod_binary64_846`
7×	`add-exp-log_binary64_798`
6×	`log-div_binary64_847`
5×	`add-cbrt-cube_binary64_796`
4×	`associate-/l_binary64_705` `associate-/r_binary64_704`
3×	`add-log-exp_binary64_799`
2×	`rem-log-exp_binary64_801` `flip3--_binary64_764` `flip--_binary64_735` `difference-of-squares_binary64_729` `div-sub_binary64_765`
1×	`flip3-+_binary64_763` `flip-+_binary64_734` `distribute-lft-out_binary64_711` `div-exp_binary64_811` `cbrt-undiv_binary64_794` `frac-2neg_binary64_771` `clear-num_binary64_759` `div-inv_binary64_757`

Counts

3 → 69

Calls

3 calls:

6.0ms	(/.f64 (log.f64 (-.f64 1 (*.f64 x x))) (log.f64 (+.f64 x 1)))
3.0ms	(log.f64 (+.f64 x 1))
3.0ms	(log.f64 (-.f64 1 (*.f64 x x)))

Compiler

Compiled 1536 to 1102 computations (28.3% saved)

series198.0ms (2%)

Error

Counts

3 → 18

Calls

3 calls:

83.0ms	(/.f64 (log.f64 (-.f64 1 (*.f64 x x))) (log.f64 (+.f64 x 1)))
72.0ms	(log.f64 (-.f64 1 (*.f64 x x)))
24.0ms	(log.f64 (+.f64 x 1))

Compiler

Compiled 796 to 677 computations (14.9% saved)

simplify96.0ms (1%)

Algorithm

1×	egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4879	1641
1	4879	1641

prune98.0ms (1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	86	1	87
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	87	3	90

Error

Counts

90 → 3

Compiler

Compiled 1695 to 1232 computations (27.3% saved)

localize28.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (pow.f64 x 4) -1/2)
0.1b	(*.f64 1/3 (pow.f64 x 6))
4.3b	(log.f64 (+.f64 x 1))
31.4b	(/.f64 (-.f64 (-.f64 (.f64 (pow.f64 x 4) -1/2) (.f64 x x)) (*.f64 1/3 (pow.f64 x 6))) (log.f64 (+.f64 x 1)))

rewrite234.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

30×	`add-sqr-sqrt_binary64_782`
22×	`*-un-lft-identity_binary64_760`
20×	`add-cube-cbrt_binary64_795`
17×	`add-exp-log_binary64_798`
12×	`times-frac_binary64_766`
10×	`add-cbrt-cube_binary64_796` `associate-l_binary64_701` `associate-r_binary64_700`
9×	`pow1_binary64_821`
8×	`unpow-prod-down_binary64_839`
6×	`prod-exp_binary64_809` `unswap-sqr_binary64_728`
5×	`log-pow_binary64_849`
4×	`add-log-exp_binary64_799` `associate-/r*_binary64_704` `log-prod_binary64_846` `sqr-pow_binary64_732`
3×	`associate-/l*_binary64_705`
2×	`associate-/l/_binary64_707` `log-div_binary64_847` `pow-to-exp_binary64_829` `pow-exp_binary64_828` `cbrt-unprod_binary64_793` `*-commutative_binary64_691`
1×	`div-exp_binary64_811` `cbrt-undiv_binary64_794` `frac-2neg_binary64_771` `div-sub_binary64_765` `clear-num_binary64_759` `div-inv_binary64_757` `flip3--_binary64_764` `flip--_binary64_735` `flip3-+_binary64_763` `flip-+_binary64_734` `distribute-lft-out_binary64_711` `rem-log-exp_binary64_801`

Counts

4 → 99

Calls

4 calls:

13.0ms	(/.f64 (-.f64 (-.f64 (.f64 (pow.f64 x 4) -1/2) (.f64 x x)) (*.f64 1/3 (pow.f64 x 6))) (log.f64 (+.f64 x 1)))
6.0ms	(*.f64 (pow.f64 x 4) -1/2)
6.0ms	(*.f64 1/3 (pow.f64 x 6))
3.0ms	(log.f64 (+.f64 x 1))

Compiler

Compiled 3215 to 2403 computations (25.3% saved)

series197.0ms (2%)

Error

Counts

4 → 18

Calls

4 calls:

61.0ms	(/.f64 (-.f64 (-.f64 (.f64 (pow.f64 x 4) -1/2) (.f64 x x)) (*.f64 1/3 (pow.f64 x 6))) (log.f64 (+.f64 x 1)))
43.0ms	(*.f64 1/3 (pow.f64 x 6))
31.0ms	(*.f64 (pow.f64 x 4) -1/2)
28.0ms	(log.f64 (+.f64 x 1))

Compiler

Compiled 989 to 797 computations (19.4% saved)

simplify108.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4975	2320
1	4975	2320

prune196.0ms (2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	117	0	117
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	117	3	120

Error

Counts

120 → 3

Compiler

Compiled 3339 to 2461 computations (26.3% saved)

regimes128.0ms (1.3%)

Accuracy

Total 0.3b remaining (98.7%)

Threshold costs 0.3b (98.7%)

Compiler

Compiled 1112 to 945 computations (15% saved)

bsearch0.0ms (0%)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	143	22
1	143	22

end0.0ms (0%)

sample5.9s (58.5%)

Algorithm

1×

intervals

Results

3.0s	3942×	body	1024	valid
772.0ms	2033×	body	512	valid
423.0ms	421×	body	2048	valid
201.0ms	1028×	body	256	valid
168.0ms	8000×	pre	128	true
50.0ms	576×	body	128	valid

Compiler

Compiled 564 to 478 computations (15.2% saved)

Details

analyze1.7s (16.5%)

sample167.0ms (1.7%)

simplify8.0ms (0.1%)

prune4.0ms (0%)

localize12.0ms (0.1%)

rewrite108.0ms (1.1%)

series135.0ms (1.3%)

simplify115.0ms (1.1%)

prune118.0ms (1.2%)

localize8.0ms (0.1%)

rewrite93.0ms (0.9%)

series147.0ms (1.5%)

simplify82.0ms (0.8%)

prune92.0ms (0.9%)

localize13.0ms (0.1%)

rewrite114.0ms (1.1%)

series198.0ms (2%)

simplify96.0ms (1%)

prune98.0ms (1%)

localize28.0ms (0.3%)

rewrite234.0ms (2.3%)

series197.0ms (2%)

simplify108.0ms (1.1%)

prune196.0ms (2%)

regimes128.0ms (1.3%)

bsearch0.0ms (0%)

simplify7.0ms (0.1%)

end0.0ms (0%)

sample5.9s (58.5%)

Profiling