Details

analyze478.0ms (9.4%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4854	22
1	4854	22
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
37.5%	50%	12.6%	7
37.5%	50%	12.6%	8
43.7%	37.5%	18.8%	9
43.7%	37.5%	18.8%	10
46.8%	31.2%	22%	11
46.8%	31.2%	22%	12
48.4%	28.1%	23.5%	13
48.4%	28.1%	23.5%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample60.0ms (1.2%)

Algorithm

1×

intervals

Results

13.0ms	71×	body	1024	valid
12.0ms	69×	body	1024	invalid
9.0ms	135×	body	128	valid
4.0ms	33×	body	512	invalid
4.0ms	31×	body	512	valid
2.0ms	19×	body	256	valid
1.0ms	11×	body	256	invalid
1.0ms	13×	body	128	invalid

Compiler

Compiled 15 to 15 computations (0% saved)

simplify59.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5030	11

prune2.0ms (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

0.0b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
0.0b	(/.f64 (sinh.f64 y) y)
0.0b	(sinh.f64 y)

rewrite66.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

24×	`add-sqr-sqrt_binary64_2487`
19×	`add-cube-cbrt_binary64_2500` `*-un-lft-identity_binary64_2465` `times-frac_binary64_2471`
13×	`associate-r_binary64_2405`
10×	`add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501`
5×	`pow1_binary64_2526`
3×	`add-log-exp_binary64_2504` `associate-/l_binary64_2410` `associate-/r_binary64_2409` `associate-l_binary64_2406`
2×	`sinh-def_binary64_2650` `div-exp_binary64_2516` `cbrt-undiv_binary64_2499` `div-inv_binary64_2462` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498` `unswap-sqr_binary64_2433`
1×	`frac-2neg_binary64_2476` `clear-num_binary64_2464` `associate-/l/_binary64_2412` `pow-prod-down_binary64_2536` `associate-r/_binary64_2407` `-commutative_binary64_2396`

Counts

3 → 68

Calls

3 calls:

7.0ms	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
4.0ms	(/.f64 (sinh.f64 y) y)
1.0ms	(sinh.f64 y)

Compiler

Compiled 942 to 236 computations (74.9% saved)

series350.0ms (6.9%)

Error

0.0b

Counts

3 → 22

Calls

3 calls:

207.0ms	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
70.0ms	(/.f64 (sinh.f64 y) y)
50.0ms	(sinh.f64 y)

Compiler

Compiled 877 to 633 computations (27.8% saved)

simplify75.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4959	1211
1	4959	1211

prune65.0ms (1.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	88	2	90
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	89	2	91

Error

Counts

91 → 2

Compiler

Compiled 1165 to 351 computations (69.9% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (cos.f64 x) (exp.f64 (log.f64 (/.f64 (sinh.f64 y) y))))
0.0b	(/.f64 (sinh.f64 y) y)
0.0b	(sinh.f64 y)
2.0b	(log.f64 (/.f64 (sinh.f64 y) y))

rewrite94.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

35×	`add-sqr-sqrt_binary64_2487`
28×	`add-cube-cbrt_binary64_2500` `log-prod_binary64_2551` `times-frac_binary64_2471` `*-un-lft-identity_binary64_2465`
16×	`associate-r_binary64_2405`
15×	`exp-sum_binary64_2511`
10×	`add-exp-log_binary64_2503`
8×	`add-cbrt-cube_binary64_2501`
7×	`pow1_binary64_2526`
4×	`add-log-exp_binary64_2504`
3×	`div-inv_binary64_2462` `associate-/l_binary64_2410` `associate-/r_binary64_2409` `unswap-sqr_binary64_2433` `associate-l_binary64_2406`
2×	`log-div_binary64_2552` `div-exp_binary64_2516` `rem-log-exp_binary64_2506` `sinh-def_binary64_2650`
1×	`log-pow_binary64_2554` `cbrt-undiv_binary64_2499` `frac-2neg_binary64_2476` `clear-num_binary64_2464` `associate-/l/_binary64_2412` `pow-prod-down_binary64_2536` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498` `exp-diff_binary64_2513` `associate-r/_binary64_2407` `-commutative_binary64_2396`

Counts

4 → 94

Calls

4 calls:

10.0ms	(*.f64 (cos.f64 x) (exp.f64 (log.f64 (/.f64 (sinh.f64 y) y))))
4.0ms	(/.f64 (sinh.f64 y) y)
3.0ms	(log.f64 (/.f64 (sinh.f64 y) y))
1.0ms	(sinh.f64 y)

Compiler

Compiled 1549 to 452 computations (70.8% saved)

series662.0ms (13%)

Error

Counts

4 → 27

Calls

4 calls:

357.0ms	(*.f64 (cos.f64 x) (exp.f64 (log.f64 (/.f64 (sinh.f64 y) y))))
165.0ms	(log.f64 (/.f64 (sinh.f64 y) y))
70.0ms	(/.f64 (sinh.f64 y) y)
44.0ms	(sinh.f64 y)

Compiler

Compiled 1119 to 879 computations (21.4% saved)

simplify86.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4948	1683
1	4948	1683

prune84.0ms (1.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	121	0	121
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	121	2	123

Error

Counts

123 → 2

Compiler

Compiled 1763 to 617 computations (65% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)

rewrite63.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

25×	`cbrt-prod_binary64_2496`
23×	`add-sqr-sqrt_binary64_2487`
15×	`add-cube-cbrt_binary64_2500` `*-un-lft-identity_binary64_2465`
11×	`pow1_binary64_2526`
9×	`pow1/3_binary64_2547`
6×	`add-exp-log_binary64_2503` `swap-sqr_binary64_2432` `associate-l_binary64_2406` `associate-r_binary64_2405`
4×	`add-log-exp_binary64_2504` `add-cbrt-cube_binary64_2501` `unswap-sqr_binary64_2433`
2×	`pow-prod-down_binary64_2536` `pow-prod-up_binary64_2535` `pow-sqr_binary64_2438`
1×	`pow2_binary64_2546` `pow-plus_binary64_2528` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498` `*-commutative_binary64_2396`

Counts

4 → 73

Calls

4 calls:

6.0ms	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

Compiler

Compiled 1378 to 305 computations (77.9% saved)

series339.0ms (6.7%)

Error

Counts

4 → 12

Calls

4 calls:

85.0ms	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
84.0ms	(cbrt.f64 y)
84.0ms	(cbrt.f64 y)
77.0ms	(cbrt.f64 y)

Compiler

Compiled 591 to 398 computations (32.7% saved)

simplify80.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4873	548
1	4873	548

prune57.0ms (1.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	85	2	87

Error

Counts

87 → 2

Compiler

Compiled 1403 to 358 computations (74.5% saved)

regimes160.0ms (3.1%)

Accuracy

Total 0.0b remaining (80%)

Threshold costs 0.0b (80%)

Compiler

Compiled 1200 to 904 computations (24.7% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	15
1	10	15

end0.0ms (0%)

sample2.3s (44.9%)

Algorithm

1×

intervals

Results

560.0ms	2007×	body	1024	invalid
406.0ms	2053×	body	1024	valid
196.0ms	4419×	body	128	valid
129.0ms	1029×	body	512	valid
122.0ms	958×	body	512	invalid
46.0ms	491×	body	256	valid
44.0ms	468×	body	256	invalid
41.0ms	726×	body	128	invalid
5.0ms	8×	body	2048	valid

Compiler

Compiled 251 to 191 computations (23.9% saved)

Details

analyze478.0ms (9.4%)

sample60.0ms (1.2%)

simplify59.0ms (1.2%)

prune2.0ms (0%)

localize6.0ms (0.1%)

rewrite66.0ms (1.3%)

series350.0ms (6.9%)

simplify75.0ms (1.5%)

prune65.0ms (1.3%)

localize8.0ms (0.2%)

rewrite94.0ms (1.8%)

series662.0ms (13%)

simplify86.0ms (1.7%)

prune84.0ms (1.7%)

localize10.0ms (0.2%)

rewrite63.0ms (1.2%)

series339.0ms (6.7%)

simplify80.0ms (1.6%)

prune57.0ms (1.1%)

regimes160.0ms (3.1%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample2.3s (44.9%)

Profiling