Details

analyze355.0ms (9.4%)

Algorithm

1×

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
12.5%	87.4%	0.1%	7
18.7%	81.1%	0.1%	8
40.6%	56.9%	2.5%	9
46%	49.5%	4.4%	10
50.3%	44.9%	4.8%	11
60.3%	30.5%	9.2%	12
62.9%	25.7%	11.4%	13
65.2%	23.2%	11.7%	14

Compiler

Compiled 14 to 13 computations (7.1% saved)

sample19.0ms (0.5%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	128	valid
1.0ms	21×	body	128	invalid

Compiler

Compiled 27 to 28 computations (-3.7% saved)

simplify261.0ms (6.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (97.0ms)

Iter	Nodes	Cost
0	4897	13
1	4897	13

prune5.0ms (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: 0.0b

Counts

2 → 2

Compiler

Compiled 53 to 51 computations (3.8% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (*.f64 (/.f64 4 y) (-.f64 x z)) 2)
0.2b	(*.f64 (/.f64 4 y) (-.f64 x z))

rewrite27.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`add-sqr-sqrt_binary64_10077`
16×	`*-un-lft-identity_binary64_10055`
14×	`add-cube-cbrt_binary64_10090`
13×	`associate-l_binary64_9996`
12×	`cancel-sign-sub-inv_binary64_10021`
10×	`times-frac_binary64_10061`
8×	`distribute-rgt-in_binary64_10005` `distribute-lft-in_binary64_10004` `associate-+l+_binary64_9988`
7×	`add-exp-log_binary64_10093` `add-cbrt-cube_binary64_10091`
5×	`associate-r_binary64_9995`
4×	`sub-neg_binary64_10048` `add-log-exp_binary64_10094` `pow1_binary64_10116`
2×	`cbrt-unprod_binary64_10088` `flip--_binary64_10030` `unswap-sqr_binary64_10023` `frac-times_binary64_10065` `flip3--_binary64_10059` `associate-*r/_binary64_9997` `prod-exp_binary64_10104`
1×	`div-exp_binary64_10106` `flip3-+_binary64_10058` `difference-of-squares_binary64_10024` `associate-l/_binary64_9998` `div-inv_binary64_10052` `cbrt-undiv_binary64_10089` `pow-prod-down_binary64_10126` `-commutative_binary64_9986` `+-commutative_binary64_9985` `sum-log_binary64_10146` `flip-+_binary64_10029` `distribute-lft-out--_binary64_10007`

Counts

2 → 65

Calls

2 calls:

11.0ms	(*.f64 (/.f64 4 y) (-.f64 x z))
10.0ms	(+.f64 (*.f64 (/.f64 4 y) (-.f64 x z)) 2)

series121.0ms (3.2%)

Counts

2 → 6

Calls

2 calls:

82.0ms	(*.f64 (/.f64 4 y) (-.f64 x z))
39.0ms	(+.f64 (*.f64 (/.f64 4 y) (-.f64 x z)) 2)

simplify61.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5246	984

prune66.0ms (1.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	69	2	71
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	70	3	73

Merged error: 0b

Counts

73 → 3

Compiler

Compiled 1186 to 763 computations (35.7% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (/.f64 (*.f64 4 (-.f64 x z)) y) 2)
0.3b	(/.f64 (*.f64 4 (-.f64 x z)) y)

rewrite21.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`add-exp-log_binary64_10093` `add-cbrt-cube_binary64_10091`
6×	`*-un-lft-identity_binary64_10055`
4×	`add-sqr-sqrt_binary64_10077` `add-log-exp_binary64_10094` `add-cube-cbrt_binary64_10090`
3×	`times-frac_binary64_10061` `associate-/r*_binary64_9999`
2×	`div-exp_binary64_10106` `cbrt-undiv_binary64_10089` `associate-*r/_binary64_9997` `pow1_binary64_10116` `associate-/l/_binary64_10002`
1×	`flip3-+_binary64_10058` `associate-/l*_binary64_10000` `clear-num_binary64_10054` `cbrt-unprod_binary64_10088` `div-inv_binary64_10052` `flip--_binary64_10030` `+-commutative_binary64_9985` `frac-2neg_binary64_10066` `flip3--_binary64_10059` `sum-log_binary64_10146` `flip-+_binary64_10029` `prod-exp_binary64_10104` `distribute-lft-out_binary64_10006`

Counts

2 → 35

Calls

2 calls:

10.0ms	(+.f64 (/.f64 (*.f64 4 (-.f64 x z)) y) 2)
9.0ms	(/.f64 (*.f64 4 (-.f64 x z)) y)

series117.0ms (3.1%)

Counts

2 → 6

Calls

2 calls:

71.0ms	(/.f64 (*.f64 4 (-.f64 x z)) y)
46.0ms	(+.f64 (/.f64 (*.f64 4 (-.f64 x z)) y) 2)

simplify56.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5124	578

prune33.0ms (0.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	41	0	41
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	41	3	44

Merged error: 0b

Counts

44 → 3

Compiler

Compiled 586 to 347 computations (40.8% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 (cbrt.f64 (+.f64 (.f64 (/.f64 4 y) (-.f64 x z)) 2)) (cbrt.f64 (+.f64 (*.f64 (/.f64 4 y) (-.f64 x z)) 2)))
0.7b	(cbrt.f64 (+.f64 (*.f64 (/.f64 4 y) (-.f64 x z)) 2))
0.7b	(cbrt.f64 (+.f64 (*.f64 (/.f64 4 y) (-.f64 x z)) 2))
0.7b	(cbrt.f64 (+.f64 (*.f64 (/.f64 4 y) (-.f64 x z)) 2))

rewrite62.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_10086`
23×	`add-sqr-sqrt_binary64_10077`
18×	`cbrt-div_binary64_10087`
15×	`*-un-lft-identity_binary64_10055` `add-cube-cbrt_binary64_10090`
11×	`pow1_binary64_10116`
9×	`flip3-+_binary64_10058` `flip-+_binary64_10029` `pow1/3_binary64_10137`
6×	`associate-l_binary64_9996` `swap-sqr_binary64_10022` `add-exp-log_binary64_10093` `associate-r_binary64_9995`
4×	`unswap-sqr_binary64_10023` `add-log-exp_binary64_10094` `frac-times_binary64_10065` `add-cbrt-cube_binary64_10091`
2×	`associate-l/_binary64_9998` `pow-prod-down_binary64_10126` `pow-sqr_binary64_10028` `associate-r/_binary64_9997` `pow-prod-up_binary64_10125`
1×	`cbrt-unprod_binary64_10088` `*-commutative_binary64_9986` `pow2_binary64_10136` `prod-exp_binary64_10104` `pow-plus_binary64_10118`

Counts

4 → 87

Calls

4 calls:

24.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 (/.f64 4 y) (-.f64 x z)) 2)) (cbrt.f64 (+.f64 (*.f64 (/.f64 4 y) (-.f64 x z)) 2)))
9.0ms	(cbrt.f64 (+.f64 (*.f64 (/.f64 4 y) (-.f64 x z)) 2))
9.0ms	(cbrt.f64 (+.f64 (*.f64 (/.f64 4 y) (-.f64 x z)) 2))
9.0ms	(cbrt.f64 (+.f64 (*.f64 (/.f64 4 y) (-.f64 x z)) 2))

series1.6s (42.8%)

Counts

4 → 12

Calls

4 calls:

518.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 (/.f64 4 y) (-.f64 x z)) 2)) (cbrt.f64 (+.f64 (*.f64 (/.f64 4 y) (-.f64 x z)) 2)))
370.0ms	(cbrt.f64 (+.f64 (*.f64 (/.f64 4 y) (-.f64 x z)) 2))
362.0ms	(cbrt.f64 (+.f64 (*.f64 (/.f64 4 y) (-.f64 x z)) 2))
360.0ms	(cbrt.f64 (+.f64 (*.f64 (/.f64 4 y) (-.f64 x z)) 2))

simplify54.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5732	2575

prune193.0ms (5.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	99	3	102

Merged error: 0b

Counts

102 → 3

Compiler

Compiled 3892 to 2528 computations (35% saved)

regimes31.0ms (0.8%)

Compiler: Compiled 156 to 144 computations (7.7% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	13
1	22	13

end0.0ms (0%)

sample645.0ms (17.1%)

Algorithm

1×

intervals

Results

318.0ms	8000×	body	128	valid
37.0ms	955×	body	128	invalid

Compiler

Compiled 73 to 67 computations (8.2% saved)

Details

analyze355.0ms (9.4%)

sample19.0ms (0.5%)

simplify261.0ms (6.9%)

prune5.0ms (0.1%)

localize6.0ms (0.2%)

rewrite27.0ms (0.7%)

series121.0ms (3.2%)

simplify61.0ms (1.6%)

prune66.0ms (1.7%)

localize6.0ms (0.2%)

rewrite21.0ms (0.6%)

series117.0ms (3.1%)

simplify56.0ms (1.5%)

prune33.0ms (0.9%)

localize11.0ms (0.3%)

rewrite62.0ms (1.7%)

series1.6s (42.8%)

simplify54.0ms (1.4%)

prune193.0ms (5.1%)

regimes31.0ms (0.8%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample645.0ms (17.1%)

Profiling