Details

analyze4.0ms (0.2%)

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 (2.3%)

Algorithm

1×

intervals

Results

33.0ms	106×	body	1280	valid
15.0ms	81×	body	640	valid
5.0ms	45×	body	320	valid
1.0ms	18×	body	160	valid
0.0ms	6×	body	80	valid

Compiler

Compiled 17 to 16 computations (5.9% saved)

simplify71.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5086	13

prune3.0ms (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: 58.6b

Counts

2 → 1

Compiler

Compiled 16 to 14 computations (12.5% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

4.8b	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

rewrite6.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`*-un-lft-identity_binary64` `add-log-exp_binary64` `add-sqr-sqrt_binary64`
1×	`sub-neg_binary64` `pow1_binary64` `flip3--_binary64` `diff-log_binary64` `sinh-undef_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `flip--_binary64`

Counts

1 → 14

Calls

1 calls:

5.0ms

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

series4.0ms (0.2%)

Counts

1 → 3

Calls

1 calls:

4.0ms

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

simplify125.0ms (4.8%)

Algorithm

1×	egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 0 (110.0ms)

Iter	Nodes	Cost
0	4849	255
1	4849	255

prune13.0ms (0.5%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	15	2	17
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	16	2	18

Merged error: 0b

Counts

18 → 2

Compiler

Compiled 244 to 119 computations (51.2% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(sinh.f64 x)

rewrite2.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

1×	`*-un-lft-identity_binary64` `add-log-exp_binary64` `pow1_binary64` `sinh-def_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64`

Counts

1 → 8

Calls

1 calls:

1.0ms

(sinh.f64 x)

series10.0ms (0.4%)

Counts

1 → 3

Calls

1 calls:

10.0ms

(sinh.f64 x)

simplify70.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

11 → 11

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	5345	98

prune8.0ms (0.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	11	0	11
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	11	2	13

Merged error: 0b

Counts

13 → 2

Compiler

Compiled 137 to 96 computations (29.9% saved)

localize11.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

rewrite40.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`add-sqr-sqrt_binary64`
19×	`associate-r_binary64`
18×	`add-log-exp_binary64`
14×	`add-exp-log_binary64`
11×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
9×	`sum-log_binary64`
8×	`add-cbrt-cube_binary64` `unpow-prod-down_binary64`
7×	`unswap-sqr_binary64`
6×	`associate-l_binary64` `prod-exp_binary64`
4×	`pow1_binary64` `sqr-pow_binary64` `cube-prod_binary64`
2×	`pow-to-exp_binary64` `flip3-+_binary64` `cbrt-unprod_binary64` `+-commutative_binary64` `flip-+_binary64` `associate-+r+_binary64` `pow-exp_binary64` `*-commutative_binary64`
1×	`unpow3_binary64` `cube-mult_binary64`

Counts

4 → 83

Calls

4 calls:

13.0ms	(+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 x x)))
9.0ms	(*.f64 1/3 (pow.f64 x 3))
9.0ms	(+.f64 (*.f64 1/60 (pow.f64 x 5)) (+.f64 x x))
6.0ms	(*.f64 1/60 (pow.f64 x 5))

series30.0ms (1.2%)

Counts

4 → 12

Calls

4 calls:

14.0ms	(+.f64 (*.f64 1/60 (pow.f64 x 5)) (+.f64 x x))
7.0ms	(+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 x x)))
5.0ms	(*.f64 1/60 (pow.f64 x 5))
4.0ms	(*.f64 1/3 (pow.f64 x 3))

simplify70.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5255	1345

prune82.0ms (3.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	95	0	95
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	95	2	97

Merged error: 0b

Counts

97 → 2

Compiler

Compiled 2089 to 1500 computations (28.2% saved)

regimes13.0ms (0.5%)

Compiler: Compiled 25 to 22 computations (12% saved)

bsearch0.0ms (0%)

simplify5.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	9
1	7	9

end0.0ms (0%)

sample2.0s (75.6%)

Algorithm

1×

intervals

Results

1.0s	3336×	body	1280	valid
484.0ms	2531×	body	640	valid
148.0ms	1216×	body	320	valid
49.0ms	643×	body	160	valid
10.0ms	274×	body	80	valid

Compiler

Compiled 38 to 35 computations (7.9% saved)

Details

analyze4.0ms (0.2%)

sample60.0ms (2.3%)

simplify71.0ms (2.7%)

prune3.0ms (0.1%)

localize6.0ms (0.2%)

rewrite6.0ms (0.2%)

series4.0ms (0.2%)

simplify125.0ms (4.8%)

prune13.0ms (0.5%)

localize4.0ms (0.2%)

rewrite2.0ms (0.1%)

series10.0ms (0.4%)

simplify70.0ms (2.7%)

prune8.0ms (0.3%)

localize11.0ms (0.4%)

rewrite40.0ms (1.5%)

series30.0ms (1.2%)

simplify70.0ms (2.7%)

prune82.0ms (3.2%)

regimes13.0ms (0.5%)

bsearch0.0ms (0%)

simplify5.0ms (0.2%)

end0.0ms (0%)

sample2.0s (75.6%)

Profiling