Details

analyze923.0ms (27.3%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4577	52
1	4577	52
0	3	3
1	3	3

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
0%	99.9%	0.1%	7
0%	99.9%	0.1%	8
0%	99.9%	0.1%	9
46%	49.5%	4.4%	10
50.3%	44.9%	4.8%	11
55.6%	39.2%	5.2%	12
62.9%	25.7%	11.4%	13
65.2%	23.2%	11.7%	14

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample36.0ms (1.1%)

Algorithm

1×

intervals

Results

15.0ms	256×	body	128	valid
2.0ms	28×	body	128	invalid

Compiler

Compiled 23 to 24 computations (-4.3% saved)

simplify305.0ms (9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (295.0ms)

Iter	Nodes	Cost
0	4625	13
1	4625	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

Error

Counts

2 → 2

Compiler

Compiled 29 to 28 computations (3.4% saved)

localize8.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(/.f64 (.f64 4 (-.f64 (-.f64 x y) (.f64 z 1/2))) z)

rewrite42.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

6×	`add-exp-log_binary64_22963` `add-cbrt-cube_binary64_22961`
3×	`add-cube-cbrt_binary64_22960` `add-sqr-sqrt_binary64_22947` `times-frac_binary64_22931` `-un-lft-identity_binary64_22925` `associate-/r_binary64_22869`
2×	`div-exp_binary64_22976` `cbrt-undiv_binary64_22959` `associate-*r/_binary64_22867` `associate-/l/_binary64_22872`
1×	`pow1_binary64_22986` `prod-exp_binary64_22974` `add-log-exp_binary64_22964` `cbrt-unprod_binary64_22958` `frac-2neg_binary64_22936` `clear-num_binary64_22924` `div-inv_binary64_22922` `flip3--_binary64_22929` `flip--_binary64_22900` `associate-/l*_binary64_22870`

Counts

1 → 23

Calls

1 calls:

15.0ms

(/.f64 (*.f64 4 (-.f64 (-.f64 x y) (*.f64 z 1/2))) z)

Compiler

Compiled 460 to 265 computations (42.4% saved)

series355.0ms (10.5%)

Error

Counts

1 → 18

Calls

1 calls:

342.0ms

(/.f64 (*.f64 4 (-.f64 (-.f64 x y) (*.f64 z 1/2))) z)

Compiler

Compiled 330 to 306 computations (7.3% saved)

simplify57.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5086	564

prune26.0ms (0.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	41	0	41
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	41	2	43

Error

Counts

43 → 2

Compiler

Compiled 358 to 209 computations (41.6% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite70.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

17×	`add-sqr-sqrt_binary64_22947`
13×	`associate-r_binary64_22865`
12×	`*-un-lft-identity_binary64_22925`
10×	`add-cube-cbrt_binary64_22960` `times-frac_binary64_22931`
7×	`add-exp-log_binary64_22963` `add-cbrt-cube_binary64_22961`
5×	`associate-l_binary64_22866`
4×	`pow1_binary64_22986` `add-log-exp_binary64_22964`
2×	`prod-exp_binary64_22974` `cbrt-unprod_binary64_22958` `flip3--_binary64_22929` `frac-times_binary64_22935` `flip--_binary64_22900` `unswap-sqr_binary64_22893` `associate-*l/_binary64_22868`
1×	`pow-prod-down_binary64_22996` `div-exp_binary64_22976` `cbrt-undiv_binary64_22959` `associate-r/_binary64_22867` `difference-of-squares_binary64_22894` `distribute-lft-out--_binary64_22877` `div-inv_binary64_22922` `-commutative_binary64_22856` `sum-log_binary64_23016` `flip3-+_binary64_22928` `flip-+_binary64_22899` `+-commutative_binary64_22855`

Counts

2 → 49

Calls

2 calls:

10.0ms	(*.f64 (-.f64 x y) (/.f64 4 z))
8.0ms	(+.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) -2)

Compiler

Compiled 828 to 486 computations (41.3% saved)

series574.0ms (17%)

Error

Counts

2 → 33

Calls

2 calls:

333.0ms	(+.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) -2)
232.0ms	(*.f64 (-.f64 x y) (/.f64 4 z))

Compiler

Compiled 654 to 605 computations (7.5% saved)

simplify83.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4939	1047
1	4939	1047

prune47.0ms (1.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	82	0	82
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	82	2	84

Error

Counts

84 → 2

Compiler

Compiled 736 to 408 computations (44.6% saved)

regimes112.0ms (3.3%)

Accuracy

Total 0.2b remaining (95.4%)

Threshold costs 0.2b (95.4%)

Compiler

Compiled 444 to 531 computations (-19.6% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	42	16
1	42	16

end1.0ms (0%)

Compiler: Compiled 11 to 10 computations (9.1% saved)

sample728.0ms (21.5%)

Algorithm

1×

intervals

Results

294.0ms	8000×	body	128	valid
31.0ms	939×	body	128	invalid

Compiler

Compiled 59 to 67 computations (-13.6% saved)

Details

analyze923.0ms (27.3%)

sample36.0ms (1.1%)

simplify305.0ms (9%)

prune5.0ms (0.1%)

localize8.0ms (0.2%)

rewrite42.0ms (1.2%)

series355.0ms (10.5%)

simplify57.0ms (1.7%)

prune26.0ms (0.8%)

localize7.0ms (0.2%)

rewrite70.0ms (2.1%)

series574.0ms (17%)

simplify83.0ms (2.5%)

prune47.0ms (1.4%)

regimes112.0ms (3.3%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end1.0ms (0%)

sample728.0ms (21.5%)

Profiling