Details

analyze404.0ms (11.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
25%	74.9%	0.2%	7
25%	74.9%	0.2%	8
34.3%	65.5%	0.2%	9
39%	60.8%	0.2%	10
48.3%	51.5%	0.2%	11
53.7%	46.1%	0.2%	12
63.1%	36.7%	0.2%	13
64%	35.6%	0.4%	14

Compiler

Compiled 8 to 8 computations (0% saved)

sample16.0ms (0.5%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	80	valid
0.0ms	8×	body	80	invalid

Compiler

Compiled 15 to 19 computations (-26.7% saved)

simplify32.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (13.0ms)

Iter	Nodes	Cost
0	96	10
1	96	10

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: 2.9b

Counts

2 → 1

Compiler

Compiled 14 to 14 computations (0% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

2.9b	(/.f64 x (-.f64 y (*.f64 z t)))

rewrite7.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `times-frac_binary64`
3×	`associate-/r_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-/l_binary64`
2×	`associate-/r/_binary64`
1×	`add-log-exp_binary64` `pow1_binary64` `flip3--_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `insert-posit16` `flip--_binary64`

Counts

1 → 30

Calls

1 calls:

6.0ms

(/.f64 x (-.f64 y (*.f64 z t)))

series99.0ms (2.8%)

Counts

1 → 3

Calls

1 calls:

99.0ms

(/.f64 x (-.f64 y (*.f64 z t)))

simplify141.0ms (3.9%)

Algorithm

1×	egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 0 (119.0ms)

Iter	Nodes	Cost
0	5260	523

prune31.0ms (0.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	27	6	33
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	27	7	34

Merged error: 2.9b

Counts

34 → 7

Compiler

Compiled 529 to 152 computations (71.3% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.4b	(/.f64 1 (-.f64 y (*.f64 z t)))
2.7b	(.f64 x (/.f64 1 (-.f64 y (.f64 z t))))

rewrite22.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`add-sqr-sqrt_binary64`
20×	`times-frac_binary64`
19×	`*-un-lft-identity_binary64`
18×	`add-cube-cbrt_binary64`
15×	`associate-r_binary64` `add-exp-log_binary64`
9×	`add-cbrt-cube_binary64`
5×	`pow1_binary64`
4×	`associate-/r/_binary64` `prod-exp_binary64` `div-exp_binary64`
3×	`associate-/r_binary64` `associate-l_binary64` `unswap-sqr_binary64` `associate-/l_binary64`
2×	`add-log-exp_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `1-exp_binary64` `cbrt-undiv_binary64` `rec-exp_binary64` `div-inv_binary64` `insert-posit16` `flip--_binary64`
1×	`pow-prod-down_binary64` `associate-r/_binary64` `clear-num_binary64` `inv-pow_binary64` `frac-2neg_binary64` `un-div-inv_binary64` `pow-flip_binary64` `-commutative_binary64`

Counts

2 → 73

Calls

2 calls:

11.0ms	(.f64 x (/.f64 1 (-.f64 y (.f64 z t))))
6.0ms	(/.f64 1 (-.f64 y (*.f64 z t)))

series189.0ms (5.2%)

Counts

2 → 6

Calls

2 calls:

97.0ms	(.f64 x (/.f64 1 (-.f64 y (.f64 z t))))
91.0ms	(/.f64 1 (-.f64 y (*.f64 z t)))

simplify148.0ms (4.1%)

Algorithm

1×	egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (121.0ms)

Iter	Nodes	Cost
0	4878	1061
1	4878	1061

prune63.0ms (1.8%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	76	3	79
Fresh	1	4	5
Picked	1	0	1
Done	0	1	1
Total	78	8	86

Merged error: 2.9b

Counts

86 → 8

Compiler

Compiled 1241 to 434 computations (65% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.5b	(/.f64 1 (/.f64 (-.f64 y (*.f64 z t)) x))
2.9b	(/.f64 (-.f64 y (*.f64 z t)) x)

rewrite21.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

84×	`times-frac_binary64`
52×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
16×	`associate-/r*_binary64`
15×	`add-exp-log_binary64`
9×	`add-cbrt-cube_binary64`
8×	`div-exp_binary64`
6×	`associate-/l*_binary64` `div-inv_binary64`
4×	`cbrt-undiv_binary64`
3×	`pow1_binary64`
2×	`associate-/l/_binary64` `add-log-exp_binary64` `1-exp_binary64` `clear-num_binary64` `frac-2neg_binary64` `rec-exp_binary64` `insert-posit16`
1×	`flip3--_binary64` `associate-/r/_binary64` `div-sub_binary64` `inv-pow_binary64` `flip--_binary64` `pow-flip_binary64`

Counts

2 → 108

Calls

2 calls:

9.0ms	(/.f64 1 (/.f64 (-.f64 y (*.f64 z t)) x))
6.0ms	(/.f64 (-.f64 y (*.f64 z t)) x)

series290.0ms (8.1%)

Counts

2 → 6

Calls

2 calls:

206.0ms	(/.f64 1 (/.f64 (-.f64 y (*.f64 z t)) x))
84.0ms	(/.f64 (-.f64 y (*.f64 z t)) x)

simplify126.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 0 (88.0ms)

Iter	Nodes	Cost
0	5279	2234

prune82.0ms (2.3%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	114	0	114
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	114	8	122

Merged error: 2.9b

Counts

122 → 8

Compiler

Compiled 1985 to 513 computations (74.2% saved)

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

2.9b	(/.f64 x (-.f64 y (*.f64 z t)))
15.3b	(cbrt.f64 (/.f64 x (-.f64 y (*.f64 z t))))
15.3b	(cbrt.f64 (/.f64 x (-.f64 y (*.f64 z t))))
15.3b	(cbrt.f64 (/.f64 x (-.f64 y (*.f64 z t))))

rewrite27.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

45×	`cbrt-prod_binary64`
36×	`times-frac_binary64`
33×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
8×	`associate-/r/_binary64`
6×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `flip3--_binary64` `div-inv_binary64` `insert-posit16` `flip--_binary64`
3×	`cbrt-div_binary64` `associate-/r_binary64` `pow1/3_binary64` `associate-/l_binary64`
1×	`cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-exp_binary64`

Counts

4 → 105

Calls

4 calls:

6.0ms	(/.f64 x (-.f64 y (*.f64 z t)))
6.0ms	(cbrt.f64 (/.f64 x (-.f64 y (*.f64 z t))))
6.0ms	(cbrt.f64 (/.f64 x (-.f64 y (*.f64 z t))))
5.0ms	(cbrt.f64 (/.f64 x (-.f64 y (*.f64 z t))))

series889.0ms (24.7%)

Counts

4 → 12

Calls

4 calls:

268.0ms	(cbrt.f64 (/.f64 x (-.f64 y (*.f64 z t))))
266.0ms	(cbrt.f64 (/.f64 x (-.f64 y (*.f64 z t))))
257.0ms	(cbrt.f64 (/.f64 x (-.f64 y (*.f64 z t))))
98.0ms	(/.f64 x (-.f64 y (*.f64 z t)))

simplify109.0ms (3%)

Algorithm

1×	egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	5378	2362

prune105.0ms (2.9%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	117	0	117
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	117	8	125

Merged error: 2.9b

Counts

125 → 8

Compiler

Compiled 3917 to 430 computations (89% saved)

regimes120.0ms (3.3%)

Compiler: Compiled 1032 to 691 computations (33% saved)

bsearch0.0ms (0%)

simplify6.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	35	10
1	35	10

end0.0ms (0%)

sample645.0ms (17.9%)

Algorithm

1×

intervals

Results

248.0ms	8000×	body	80	valid
12.0ms	402×	body	80	invalid

Compiler

Compiled 194 to 129 computations (33.5% saved)

Details

analyze404.0ms (11.2%)

sample16.0ms (0.5%)

simplify32.0ms (0.9%)

prune2.0ms (0.1%)

localize6.0ms (0.2%)

rewrite7.0ms (0.2%)

series99.0ms (2.8%)

simplify141.0ms (3.9%)

prune31.0ms (0.9%)

localize7.0ms (0.2%)

rewrite22.0ms (0.6%)

series189.0ms (5.2%)

simplify148.0ms (4.1%)

prune63.0ms (1.8%)

localize7.0ms (0.2%)

rewrite21.0ms (0.6%)

series290.0ms (8.1%)

simplify126.0ms (3.5%)

prune82.0ms (2.3%)

localize10.0ms (0.3%)

rewrite27.0ms (0.7%)

series889.0ms (24.7%)

simplify109.0ms (3%)

prune105.0ms (2.9%)

regimes120.0ms (3.3%)

bsearch0.0ms (0%)

simplify6.0ms (0.2%)

end0.0ms (0%)

sample645.0ms (17.9%)

Profiling