Details

analyze557.0ms (21.8%)

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
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
6.2%	93.6%	0.2%	9
12.5%	87.3%	0.2%	10
15.6%	80.3%	4.1%	11
31.2%	63.9%	4.9%	12
39%	50.9%	10.1%	13
44.8%	44.4%	10.7%	14

Compiler

Compiled 8 to 8 computations (0% saved)

sample23.0ms (0.9%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	80	valid
1.0ms	57×	body	80	invalid

Compiler

Compiled 15 to 19 computations (-26.7% saved)

simplify12.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	11	10
1	11	10

prune5.0ms (0.2%)

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: 0.0b

Counts

2 → 1

Compiler

Compiled 14 to 14 computations (0% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(+.f64 (.f64 x y) (.f64 z t))

rewrite5.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp_binary64`
1×	`flip3-+_binary64` `*-un-lft-identity_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

1 → 11

Calls

1 calls:

4.0ms

(+.f64 (*.f64 x y) (*.f64 z t))

series11.0ms (0.4%)

Counts

1 → 3

Calls

1 calls:

11.0ms

(+.f64 (*.f64 x y) (*.f64 z t))

simplify112.0ms (4.4%)

Algorithm

1×	egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 0 (100.0ms)

Iter	Nodes	Cost
0	4869	208
1	4869	208

prune13.0ms (0.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	13	1	14
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	13	2	15

Merged error: 0.0b

Counts

15 → 2

Compiler

Compiled 205 to 57 computations (72.2% saved)

localize15.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.8b	(+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z (.f64 t (-.f64 (.f64 z t) (*.f64 x y)))))
1.2b	(+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (.f64 z t) 3))
3.3b	(.f64 z (.f64 t (-.f64 (.f64 z t) (.f64 x y))))
34.6b	(/.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (.f64 z t) 3)) (+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z (.f64 t (-.f64 (.f64 z t) (*.f64 x y))))))

rewrite48.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`*-un-lft-identity_binary64`
15×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `times-frac_binary64`
11×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`pow1_binary64`
8×	`add-log-exp_binary64` `sub-neg_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64`
5×	`distribute-lft-out_binary64` `sum-cubes_binary64` `associate-/l*_binary64`
4×	`flip3-+_binary64` `associate-*r/_binary64` `flip-+_binary64` `associate-+r+_binary64`
3×	`pow-prod-down_binary64` `associate-/r_binary64` `cbrt-unprod_binary64` `associate-l*_binary64` `prod-exp_binary64`
2×	`associate-/l/_binary64` `associate-/r/_binary64` `+-commutative_binary64` `sum-log_binary64`
1×	`flip3--_binary64` `associate-r_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `flip--_binary64` `*-commutative_binary64`

Counts

4 → 91

Calls

4 calls:

18.0ms	(/.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (.f64 z t) 3)) (+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z (.f64 t (-.f64 (.f64 z t) (*.f64 x y))))))
10.0ms	(+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z (.f64 t (-.f64 (.f64 z t) (*.f64 x y)))))
9.0ms	(.f64 z (.f64 t (-.f64 (.f64 z t) (.f64 x y))))
8.0ms	(+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (.f64 z t) 3))

series164.0ms (6.4%)

Counts

4 → 12

Calls

4 calls:

60.0ms	(/.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (.f64 z t) 3)) (+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z (.f64 t (-.f64 (.f64 z t) (*.f64 x y))))))
53.0ms	(+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (.f64 z t) 3))
33.0ms	(+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z (.f64 t (-.f64 (.f64 z t) (*.f64 x y)))))
18.0ms	(.f64 z (.f64 t (-.f64 (.f64 z t) (.f64 x y))))

simplify71.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5461	4052

prune77.0ms (3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	102	1	103
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	103	2	105

Merged error: 0.0b

Counts

105 → 2

Compiler

Compiled 4433 to 1007 computations (77.3% saved)

localize17.0ms (0.7%)

Local error

Found 4 expressions with local error:

0.8b	(+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z (.f64 t (-.f64 (.f64 z t) (*.f64 x y)))))
1.2b	(+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (.f64 z t) 3))
3.3b	(.f64 z (.f64 t (-.f64 (.f64 z t) (.f64 x y))))
34.6b	(.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (.f64 z t) 3)) (/.f64 1 (+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z (.f64 t (-.f64 (.f64 z t) (.f64 x y)))))))

rewrite56.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`add-sqr-sqrt_binary64`
18×	`*-un-lft-identity_binary64` `add-exp-log_binary64`
16×	`associate-r_binary64`
14×	`add-cbrt-cube_binary64`
13×	`add-cube-cbrt_binary64`
11×	`pow1_binary64` `times-frac_binary64`
8×	`add-log-exp_binary64` `sub-neg_binary64` `distribute-lft-in_binary64` `associate-l_binary64` `distribute-rgt-in_binary64`
7×	`prod-exp_binary64`
5×	`flip3-+_binary64` `cbrt-unprod_binary64` `associate-*r/_binary64` `flip-+_binary64`
4×	`pow-prod-down_binary64` `associate-+r+_binary64`
3×	`unswap-sqr_binary64`
2×	`distribute-lft-out_binary64` `sum-cubes_binary64` `associate-/r/_binary64` `div-exp_binary64` `+-commutative_binary64` `frac-times_binary64` `associate-l/_binary64` `sum-log_binary64` `-commutative_binary64`
1×	`flip3--_binary64` `1-exp_binary64` `cbrt-undiv_binary64` `rec-exp_binary64` `un-div-inv_binary64` `div-inv_binary64` `flip--_binary64`

Counts

4 → 96

Calls

4 calls:

23.0ms	(.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (.f64 z t) 3)) (/.f64 1 (+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z (.f64 t (-.f64 (.f64 z t) (.f64 x y)))))))
12.0ms	(+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z (.f64 t (-.f64 (.f64 z t) (*.f64 x y)))))
9.0ms	(.f64 z (.f64 t (-.f64 (.f64 z t) (.f64 x y))))
9.0ms	(+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (.f64 z t) 3))

series162.0ms (6.3%)

Counts

4 → 12

Calls

4 calls:

57.0ms	(.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (.f64 z t) 3)) (/.f64 1 (+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z (.f64 t (-.f64 (.f64 z t) (.f64 x y)))))))
55.0ms	(+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (.f64 z t) 3))
31.0ms	(+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z (.f64 t (-.f64 (.f64 z t) (*.f64 x y)))))
17.0ms	(.f64 z (.f64 t (-.f64 (.f64 z t) (.f64 x y))))

simplify103.0ms (4%)

Algorithm

1×	egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4996	3486
1	4996	3486

prune89.0ms (3.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	108	0	108
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	108	2	110

Merged error: 0.0b

Counts

110 → 2

Compiler

Compiled 4461 to 1401 computations (68.6% saved)

regimes238.0ms (9.3%)

Compiler: Compiled 314 to 248 computations (21% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	10
1	11	10

end0.0ms (0%)

sample770.0ms (30.1%)

Algorithm

1×

intervals

Results

217.0ms	8000×	body	80	valid
38.0ms	1381×	body	80	invalid

Compiler

Compiled 55 to 45 computations (18.2% saved)

Details

analyze557.0ms (21.8%)

sample23.0ms (0.9%)

simplify12.0ms (0.5%)

prune5.0ms (0.2%)

localize5.0ms (0.2%)

rewrite5.0ms (0.2%)

series11.0ms (0.4%)

simplify112.0ms (4.4%)

prune13.0ms (0.5%)

localize15.0ms (0.6%)

rewrite48.0ms (1.9%)

series164.0ms (6.4%)

simplify71.0ms (2.8%)

prune77.0ms (3%)

localize17.0ms (0.7%)

rewrite56.0ms (2.2%)

series162.0ms (6.3%)

simplify103.0ms (4%)

prune89.0ms (3.5%)

regimes238.0ms (9.3%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample770.0ms (30.1%)

Profiling