Details

analyze4.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	25%	25%	4
50%	12.5%	37.5%	5
50%	6.2%	43.8%	6
50%	3.1%	46.9%	7
50%	1.6%	48.5%	8
50%	0.8%	49.2%	9
50.4%	0.4%	49.2%	10
50.4%	0.2%	49.4%	11
50.4%	0.1%	49.5%	12
50.4%	0%	49.6%	13
50.4%	0%	49.6%	14

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample60.0ms (1.7%)

Algorithm

1×

intervals

Results

37.0ms	133×	body	1024	valid
9.0ms	59×	body	512	valid
5.0ms	14×	body	2048	valid
3.0ms	29×	body	256	valid
1.0ms	21×	body	128	valid

Compiler

Compiled 17 to 16 computations (5.9% saved)

simplify217.0ms (6.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4846	13
1	4846	13

prune2.0ms (0.1%)

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: 58.0b

Counts

2 → 1

Compiler

Compiled 16 to 14 computations (12.5% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

6.0b	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

rewrite7.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`add-sqr-sqrt_binary64_789` `*-un-lft-identity_binary64_767`
3×	`add-log-exp_binary64_806` `cancel-sign-sub-inv_binary64_733`
2×	`add-cube-cbrt_binary64_802`
1×	`sub-neg_binary64_760` `add-exp-log_binary64_805` `pow1_binary64_828` `diff-log_binary64_859` `distribute-lft-out--_binary64_719` `2sinh-undef_binary64_962` `flip--_binary64_742` `add-cbrt-cube_binary64_803` `flip3--_binary64_771` `difference-of-squares_binary64_736`

Counts

1 → 17

Calls

1 calls:

6.0ms

(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

series40.0ms (1.1%)

Counts

1 → 3

Calls

1 calls:

40.0ms

(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

simplify58.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

20 → 20

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4877	273
1	4877	273

prune30.0ms (0.9%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	17	3	20
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	18	3	21

Merged error: 0b

Counts

21 → 3

Compiler

Compiled 420 to 252 computations (40% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(sinh.f64 x)

rewrite2.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

1×	`add-exp-log_binary64_805` `pow1_binary64_828` `add-log-exp_binary64_806` `add-sqr-sqrt_binary64_789` `*-un-lft-identity_binary64_767` `sinh-def_binary64_952` `add-cbrt-cube_binary64_803` `add-cube-cbrt_binary64_802`

Counts

1 → 8

Calls

1 calls:

1.0ms

(sinh.f64 x)

series79.0ms (2.2%)

Counts

1 → 3

Calls

1 calls:

79.0ms

(sinh.f64 x)

simplify56.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

11 → 11

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5412	98

prune10.0ms (0.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	11	0	11
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	11	3	14

Merged error: 0b

Counts

14 → 3

Compiler

Compiled 155 to 109 computations (29.7% saved)

localize10.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 1/60 (pow.f64 x 5))
0.1b	(*.f64 1/3 (pow.f64 x 3))

rewrite21.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`add-sqr-sqrt_binary64_789`
19×	`associate-r_binary64_707`
12×	`add-exp-log_binary64_805`
9×	`*-un-lft-identity_binary64_767` `add-cube-cbrt_binary64_802`
8×	`unpow-prod-down_binary64_846`
7×	`unswap-sqr_binary64_735`
6×	`associate-l_binary64_708` `prod-exp_binary64_816` `add-cbrt-cube_binary64_803`
4×	`sqr-pow_binary64_739` `cube-prod_binary64_795`
2×	`pow-to-exp_binary64_836` `cbrt-unprod_binary64_800` `pow-exp_binary64_835` `pow1_binary64_828` `*-commutative_binary64_698` `add-log-exp_binary64_806`
1×	`cube-mult_binary64_797` `unpow3_binary64_833`

Counts

2 → 56

Calls

2 calls:

8.0ms	(*.f64 1/60 (pow.f64 x 5))
8.0ms	(*.f64 1/3 (pow.f64 x 3))

series108.0ms (3.1%)

Counts

2 → 6

Calls

2 calls:

60.0ms	(*.f64 1/60 (pow.f64 x 5))
48.0ms	(*.f64 1/3 (pow.f64 x 3))

simplify88.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	4964	582
1	4964	582

prune71.0ms (2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	62	0	62
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	62	3	65

Merged error: 0b

Counts

65 → 3

Compiler

Compiled 1326 to 949 computations (28.4% saved)

localize13.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 x) -2)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
0.0b	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
0.0b	(pow.f64 (exp.f64 x) 2)
6.0b	(-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 x) -2))

rewrite61.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Rules

130×	`add-sqr-sqrt_binary64_789`
84×	`difference-of-squares_binary64_736`
82×	`*-un-lft-identity_binary64_767`
80×	`times-frac_binary64_773`
55×	`unpow-prod-down_binary64_846`
51×	`sqr-pow_binary64_739`
32×	`add-cube-cbrt_binary64_802`
22×	`unpow2_binary64_832`
18×	`distribute-lft-out_binary64_718` `2cosh-undef_binary64_963`
16×	`associate-/l*_binary64_712`
8×	`add-log-exp_binary64_806`
7×	`cancel-sign-sub-inv_binary64_733` `distribute-lft-out--_binary64_719`
6×	`add-exp-log_binary64_805` `add-cbrt-cube_binary64_803`
5×	`associate-/r*_binary64_711` `pow1_binary64_828`
4×	`pow-pow_binary64_839`
3×	`exp-prod_binary64_819` `pow-unpow_binary64_844`
2×	`associate-/l/_binary64_714` `associate-/r/_binary64_713` `flip-+_binary64_741` `flip3-+_binary64_770` `flip--_binary64_742` `flip3--_binary64_771`
1×	`frac-2neg_binary64_778` `pow-to-exp_binary64_836` `cbrt-undiv_binary64_801` `pow-exp_binary64_835` `sub-neg_binary64_760` `diff-log_binary64_859` `+-commutative_binary64_697` `sum-log_binary64_858` `div-exp_binary64_818` `div-sub_binary64_772` `clear-num_binary64_766` `div-inv_binary64_764`

Counts

4 → 183

Calls

4 calls:

19.0ms	(/.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 x) -2)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
10.0ms	(-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 x) -2))
5.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
4.0ms	(pow.f64 (exp.f64 x) 2)

series376.0ms (10.7%)

Counts

4 → 12

Calls

4 calls:

225.0ms	(/.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 x) -2)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
107.0ms	(-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 x) -2))
24.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
19.0ms	(pow.f64 (exp.f64 x) 2)

simplify109.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

195 → 195

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4931	5247
1	4931	5247

prune185.0ms (5.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	195	0	195
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	195	3	198

Merged error: 0b

Counts

198 → 3

Compiler

Compiled 4857 to 1609 computations (66.9% saved)

regimes9.0ms (0.3%)

Compiler: Compiled 43 to 35 computations (18.6% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	7	9

end0.0ms (0%)

sample1.9s (53.7%)

Algorithm

1×

intervals

Results

1.1s	3985×	body	1024	valid
292.0ms	1981×	body	512	valid
127.0ms	420×	body	2048	valid
93.0ms	983×	body	256	valid
32.0ms	631×	body	128	valid

Compiler

Compiled 56 to 48 computations (14.3% saved)

Details

analyze4.0ms (0.1%)

sample60.0ms (1.7%)

simplify217.0ms (6.2%)

prune2.0ms (0.1%)

localize6.0ms (0.2%)

rewrite7.0ms (0.2%)

series40.0ms (1.1%)

simplify58.0ms (1.7%)

prune30.0ms (0.9%)

localize4.0ms (0.1%)

rewrite2.0ms (0%)

series79.0ms (2.2%)

simplify56.0ms (1.6%)

prune10.0ms (0.3%)

localize10.0ms (0.3%)

rewrite21.0ms (0.6%)

series108.0ms (3.1%)

simplify88.0ms (2.5%)

prune71.0ms (2%)

localize13.0ms (0.4%)

rewrite61.0ms (1.7%)

series376.0ms (10.7%)

simplify109.0ms (3.1%)

prune185.0ms (5.3%)

regimes9.0ms (0.3%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.9s (53.7%)

Profiling