Details

analyze233.0ms (9.1%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4918	40
1	4918	40
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
25%	75%	0%	3
50%	50%	0%	4
93.7%	6.2%	0%	5
96.8%	3.1%	0%	6
98.4%	1.6%	0%	7
99.2%	0.8%	0%	8
99.6%	0.4%	0%	9
99.8%	0.2%	0%	10
99.9%	0.1%	0%	11
99.9%	0%	0%	12
99.9%	0%	0%	13
99.9%	0%	0%	14

Compiler

Compiled 36 to 29 computations (19.4% saved)

sample25.0ms (1%)

Algorithm

1×

intervals

Results

19.0ms

256×

body

128

valid

Compiler

Compiled 71 to 58 computations (18.3% saved)

simplify144.0ms (5.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (138.0ms)

Iter	Nodes	Cost
0	4918	40
1	4918	40

prune8.0ms (0.3%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

2 → 1

Compiler

Compiled 54 to 44 computations (18.5% saved)

localize10.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.1b	(/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t))))
0.1b	(/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t))))
0.1b	(*.f64 t (/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t)))))
0.1b	(*.f64 t (/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t)))))

rewrite89.0ms (3.5%)

Algorithm

1×	rewrite-expression-head

Rules

146×	`*-un-lft-identity_binary64_419`
74×	`times-frac_binary64_425`
70×	`distribute-lft-out_binary64_370`
58×	`add-sqr-sqrt_binary64_441`
48×	`add-cube-cbrt_binary64_454` `associate-r_binary64_359`
18×	`div-inv_binary64_416` `add-cbrt-cube_binary64_455` `add-exp-log_binary64_457`
12×	`associate-/r*_binary64_363`
8×	`associate-/r/_binary64_365` `pow1_binary64_480`
6×	`associate-l_binary64_360` `associate-/l*_binary64_364`
4×	`flip3-+_binary64_422` `add-log-exp_binary64_458` `unswap-sqr_binary64_387` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `flip-+_binary64_393` `div-exp_binary64_470` `cbrt-undiv_binary64_453`
2×	`pow-prod-down_binary64_490` `clear-num_binary64_418` `associate-r/_binary64_361` `-commutative_binary64_350` `frac-2neg_binary64_430`

Counts

4 → 168

Calls

4 calls:

17.0ms	(*.f64 t (/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t)))))
17.0ms	(*.f64 t (/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t)))))
12.0ms	(/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t))))
12.0ms	(/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t))))

series59.0ms (2.3%)

Counts

4 → 12

Calls

4 calls:

17.0ms	(*.f64 t (/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t)))))
16.0ms	(*.f64 t (/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t)))))
13.0ms	(/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t))))
11.0ms	(/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t))))

simplify80.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

180 → 180

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5287	3140

prune336.0ms (13.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	179	1	180
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	179	2	181

Error

Counts

181 → 2

Compiler

Compiled 6189 to 4879 computations (21.2% saved)

localize22.0ms (0.8%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (+.f64 2 (+.f64 t (/.f64 1 t))))
0.6b	(cbrt.f64 (+.f64 2 (+.f64 t (/.f64 1 t))))
0.6b	(cbrt.f64 (+.f64 2 (+.f64 t (/.f64 1 t))))
1.0b	(*.f64 (cbrt.f64 4) (cbrt.f64 4))

rewrite44.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`*-un-lft-identity_binary64_419`
34×	`cbrt-prod_binary64_450`
23×	`add-sqr-sqrt_binary64_441`
15×	`add-cube-cbrt_binary64_454` `distribute-lft-out_binary64_370`
11×	`pow1_binary64_480`
9×	`pow1/3_binary64_501`
6×	`cbrt-div_binary64_451` `associate-r_binary64_359` `swap-sqr_binary64_386` `associate-l_binary64_360` `add-exp-log_binary64_457`
4×	`add-log-exp_binary64_458` `unswap-sqr_binary64_387` `add-cbrt-cube_binary64_455`
3×	`flip3-+_binary64_422` `div-inv_binary64_416` `flip-+_binary64_393`
2×	`pow-prod-down_binary64_490` `pow-sqr_binary64_392` `pow-prod-up_binary64_489`
1×	`prod-exp_binary64_468` `cbrt-unprod_binary64_452` `pow-plus_binary64_482` `*-commutative_binary64_350` `pow2_binary64_500`

Counts

4 → 88

Calls

4 calls:

9.0ms	(cbrt.f64 (+.f64 2 (+.f64 t (/.f64 1 t))))
8.0ms	(cbrt.f64 (+.f64 2 (+.f64 t (/.f64 1 t))))
8.0ms	(cbrt.f64 (+.f64 2 (+.f64 t (/.f64 1 t))))
6.0ms	(*.f64 (cbrt.f64 4) (cbrt.f64 4))

series87.0ms (3.4%)

Counts

4 → 10

Calls

4 calls:

32.0ms	(cbrt.f64 (+.f64 2 (+.f64 t (/.f64 1 t))))
27.0ms	(cbrt.f64 (+.f64 2 (+.f64 t (/.f64 1 t))))
27.0ms	(cbrt.f64 (+.f64 2 (+.f64 t (/.f64 1 t))))
0.0ms	(*.f64 (cbrt.f64 4) (cbrt.f64 4))

simplify110.0ms (4.3%)

Algorithm

1×	egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (91.0ms)

Iter	Nodes	Cost
0	4823	1518
1	4823	1518

prune335.0ms (13%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	98	0	98
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	98	2	100

Error

Counts

100 → 2

Compiler

Compiled 5732 to 4661 computations (18.7% saved)

regimes85.0ms (3.3%)

Accuracy

Total 0.0b remaining (24.6%)

Threshold costs 0.0b (24.6%)

Compiler

Compiled 984 to 806 computations (18.1% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	40
1	19	40

end0.0ms (0%)

sample899.0ms (35%)

Algorithm

1×

intervals

Results

579.0ms

8000×

body

128

valid

Compiler

Compiled 280 to 230 computations (17.9% saved)

Details

analyze233.0ms (9.1%)

sample25.0ms (1%)

simplify144.0ms (5.6%)

prune8.0ms (0.3%)

localize10.0ms (0.4%)

rewrite89.0ms (3.5%)

series59.0ms (2.3%)

simplify80.0ms (3.1%)

prune336.0ms (13.1%)

localize22.0ms (0.8%)

rewrite44.0ms (1.7%)

series87.0ms (3.4%)

simplify110.0ms (4.3%)

prune335.0ms (13%)

regimes85.0ms (3.3%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample899.0ms (35%)

Profiling