Details

analyze485.0ms (4.5%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
49.9%	49.9%	0.2%	2
49.9%	49.9%	0.2%	3
49.9%	49.9%	0.2%	4
49.9%	49.9%	0.2%	5
49.9%	49.9%	0.2%	6
49.9%	49.9%	0.2%	7
53%	46.8%	0.2%	8
57.7%	42.1%	0.2%	9
61.6%	38.2%	0.2%	10
63.5%	30%	6.4%	11
63.5%	30%	6.4%	12
67.6%	25.9%	6.4%	13
68.9%	24.7%	6.4%	14

Compiler

Compiled 16 to 15 computations (6.3% saved)

sample96.0ms (0.9%)

Algorithm

1×

intervals

Results

25.0ms	54×	body	1024	valid
16.0ms	62×	body	1024	invalid
10.0ms	47×	body	512	valid
9.0ms	129×	body	128	valid
8.0ms	117×	body	128	invalid
5.0ms	29×	body	512	invalid
4.0ms	25×	body	256	valid
1.0ms	9×	body	256	invalid
1.0ms	1×	body	2048	valid

Compiler

Compiled 31 to 33 computations (-6.5% saved)

simplify186.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (92.0ms)

Iter	Nodes	Cost
0	4815	24
1	4815	24

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

Merged error: 17.9b

Counts

2 → 1

Compiler

Compiled 30 to 28 computations (6.7% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2))) U)
0.0b	(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
0.0b	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2)))
7.5b	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

rewrite41.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64_782`
14×	`*-un-lft-identity_binary64_760`
11×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796` `pow1_binary64_821`
10×	`add-cube-cbrt_binary64_795`
9×	`cancel-sign-sub-inv_binary64_726` `associate-r_binary64_700`
8×	`add-log-exp_binary64_799`
4×	`prod-exp_binary64_809` `distribute-lft-in_binary64_709` `distribute-rgt-in_binary64_710` `associate-l_binary64_701` `associate-*r/_binary64_702` `cbrt-unprod_binary64_793` `pow-prod-down_binary64_831`
3×	`sub-neg_binary64_753` `flip--_binary64_735` `flip3--_binary64_764`
2×	`associate-l/_binary64_703` `difference-of-squares_binary64_729` `distribute-lft-out--_binary64_712` `sinh-undef_binary64_953` `-commutative_binary64_691`
1×	`diff-log_binary64_852` `unswap-sqr_binary64_728` `flip3-+_binary64_763` `flip-+_binary64_734` `+-commutative_binary64_690` `sum-log_binary64_851`

Counts

4 → 79

Calls

4 calls:

11.0ms	(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2))) U)
10.0ms	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2)))
9.0ms	(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
6.0ms	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

series1.4s (12.7%)

Counts

4 → 43

Calls

4 calls:

824.0ms	(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2))) U)
383.0ms	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2)))
144.0ms	(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
31.0ms	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

Compiler

Compiled 1478 to 1304 computations (11.8% saved)

simplify72.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5417	2345

prune110.0ms (1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	121	1	122
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	122	1	123

Merged error: 0.0b

Counts

123 → 1

Compiler

Compiled 2321 to 1019 computations (56.1% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(.f64 J (.f64 2 (sinh.f64 l)))
0.0b	(+.f64 (.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2))) U)
0.1b	(.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2)))

rewrite26.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796` `pow1_binary64_821`
9×	`prod-exp_binary64_809` `cbrt-unprod_binary64_793` `pow-prod-down_binary64_831`
5×	`*-un-lft-identity_binary64_760` `add-cube-cbrt_binary64_795` `add-log-exp_binary64_799` `add-sqr-sqrt_binary64_782`
4×	`associate-r_binary64_700` `associate-l_binary64_701` `associate-*r/_binary64_702`
2×	`sinh-def_binary64_945` `*-commutative_binary64_691`
1×	`associate-*l/_binary64_703` `flip3-+_binary64_763` `flip-+_binary64_734` `+-commutative_binary64_690` `sum-log_binary64_851`

Counts

3 → 52

Calls

3 calls:

8.0ms	(.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2)))
8.0ms	(+.f64 (.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2))) U)
6.0ms	(.f64 J (.f64 2 (sinh.f64 l)))

series1.4s (12.9%)

Counts

3 → 39

Calls

3 calls:

747.0ms	(+.f64 (.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2))) U)
460.0ms	(.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2)))
187.0ms	(.f64 J (.f64 2 (sinh.f64 l)))

Compiler

Compiled 1350 to 1183 computations (12.4% saved)

simplify81.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5265	1629

prune99.0ms (0.9%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	84	7	91
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	85	7	92

Merged error: 0b

Counts

92 → 7

Compiler

Compiled 1654 to 1114 computations (32.6% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 (.f64 J (cos.f64 (.f64 K 1/2))) (+.f64 (.f64 l 2) (*.f64 (pow.f64 l 3) 1/3))) U)
0.1b	(.f64 (.f64 J (cos.f64 (.f64 K 1/2))) (+.f64 (.f64 l 2) (*.f64 (pow.f64 l 3) 1/3)))
0.1b	(*.f64 (pow.f64 l 3) 1/3)
0.1b	(.f64 J (cos.f64 (.f64 K 1/2)))

rewrite35.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`add-sqr-sqrt_binary64_782`
16×	`add-exp-log_binary64_798` `associate-l_binary64_701`
13×	`add-cbrt-cube_binary64_796`
11×	`*-un-lft-identity_binary64_760` `add-cube-cbrt_binary64_795` `pow1_binary64_821`
9×	`associate-r_binary64_700`
7×	`prod-exp_binary64_809`
6×	`add-log-exp_binary64_799`
5×	`unswap-sqr_binary64_728` `cbrt-unprod_binary64_793`
4×	`cube-prod_binary64_788` `pow-prod-down_binary64_831` `unpow-prod-down_binary64_839`
3×	`*-commutative_binary64_691`
2×	`flip3-+_binary64_763` `distribute-lft-in_binary64_709` `associate-+l+_binary64_693` `distribute-rgt-in_binary64_710` `flip-+_binary64_734` `associate-*r/_binary64_702` `sqr-pow_binary64_732`
1×	`cube-mult_binary64_790` `unpow3_binary64_826` `pow-exp_binary64_828` `pow-to-exp_binary64_829` `+-commutative_binary64_690` `sum-log_binary64_851`

Counts

4 → 84

Calls

4 calls:

9.0ms	(+.f64 (.f64 (.f64 J (cos.f64 (.f64 K 1/2))) (+.f64 (.f64 l 2) (*.f64 (pow.f64 l 3) 1/3))) U)
9.0ms	(.f64 (.f64 J (cos.f64 (.f64 K 1/2))) (+.f64 (.f64 l 2) (*.f64 (pow.f64 l 3) 1/3)))
6.0ms	(*.f64 (pow.f64 l 3) 1/3)
5.0ms	(.f64 J (cos.f64 (.f64 K 1/2)))

series1.2s (11.4%)

Counts

4 → 44

Calls

4 calls:

761.0ms	(+.f64 (.f64 (.f64 J (cos.f64 (.f64 K 1/2))) (+.f64 (.f64 l 2) (*.f64 (pow.f64 l 3) 1/3))) U)
339.0ms	(.f64 (.f64 J (cos.f64 (.f64 K 1/2))) (+.f64 (.f64 l 2) (*.f64 (pow.f64 l 3) 1/3)))
101.0ms	(.f64 J (cos.f64 (.f64 K 1/2)))
30.0ms	(*.f64 (pow.f64 l 3) 1/3)

Compiler

Compiled 1688 to 1503 computations (11% saved)

simplify54.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5086	2509

prune161.0ms (1.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	128	0	128
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	128	7	135

Merged error: 0b

Counts

135 → 7

Compiler

Compiled 3024 to 2223 computations (26.5% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 J (.f64 (*.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2)))) U)
0.1b	(.f64 J (.f64 (*.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2))))
0.2b	(.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2)))

rewrite26.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796` `pow1_binary64_821`
9×	`prod-exp_binary64_809` `cbrt-unprod_binary64_793` `pow-prod-down_binary64_831`
5×	`*-un-lft-identity_binary64_760` `add-cube-cbrt_binary64_795` `add-log-exp_binary64_799` `add-sqr-sqrt_binary64_782`
4×	`associate-r_binary64_700` `associate-l_binary64_701`
3×	`associate-*r/_binary64_702`
2×	`associate-l/_binary64_703` `sinh-def_binary64_945` `-commutative_binary64_691`
1×	`flip3-+_binary64_763` `flip-+_binary64_734` `+-commutative_binary64_690` `sum-log_binary64_851`

Counts

3 → 52

Calls

3 calls:

8.0ms	(+.f64 (.f64 J (.f64 (*.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2)))) U)
8.0ms	(.f64 J (.f64 (*.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2))))
6.0ms	(.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2)))

series1.4s (13.3%)

Counts

3 → 40

Calls

3 calls:

756.0ms	(+.f64 (.f64 J (.f64 (*.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2)))) U)
463.0ms	(.f64 J (.f64 (*.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2))))
221.0ms	(.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2)))

Compiler

Compiled 1412 to 1226 computations (13.2% saved)

simplify73.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5178	1781

prune81.0ms (0.7%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	91	1	92
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	92	7	99

Merged error: 0b

Counts

99 → 7

Compiler

Compiled 1505 to 975 computations (35.2% saved)

regimes388.0ms (3.6%)

Compiler: Compiled 4208 to 3780 computations (10.2% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	20
1	17	20

end0.0ms (0%)

sample3.3s (30.7%)

Algorithm

1×

intervals

Results

697.0ms	1683×	body	1024	valid
549.0ms	2003×	body	1024	invalid
302.0ms	4438×	body	128	valid
255.0ms	1160×	body	512	valid
253.0ms	3506×	body	128	invalid
189.0ms	1008×	body	512	invalid
91.0ms	652×	body	256	valid
61.0ms	460×	body	256	invalid
39.0ms	67×	body	2048	valid

Compiler

Compiled 428 to 383 computations (10.5% saved)

Details

analyze485.0ms (4.5%)

sample96.0ms (0.9%)

simplify186.0ms (1.7%)

prune3.0ms (0%)

localize16.0ms (0.1%)

rewrite41.0ms (0.4%)

series1.4s (12.7%)

simplify72.0ms (0.7%)

prune110.0ms (1%)

localize10.0ms (0.1%)

rewrite26.0ms (0.2%)

series1.4s (12.9%)

simplify81.0ms (0.7%)

prune99.0ms (0.9%)

localize13.0ms (0.1%)

rewrite35.0ms (0.3%)

series1.2s (11.4%)

simplify54.0ms (0.5%)

prune161.0ms (1.5%)

localize10.0ms (0.1%)

rewrite26.0ms (0.2%)

series1.4s (13.3%)

simplify73.0ms (0.7%)

prune81.0ms (0.7%)

regimes388.0ms (3.6%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample3.3s (30.7%)

Profiling