Details

analyze444.0ms (14.3%)

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
49.1%	50.7%	0.2%	9
49.5%	50.3%	0.2%	10
49.7%	50.1%	0.2%	11
50.2%	49.6%	0.2%	12
60.5%	39.3%	0.2%	13
60.6%	37.9%	1.4%	14

Compiler

Compiled 10 to 10 computations (0% saved)

sample23.0ms (0.7%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	80	valid
2.0ms	82×	body	80	invalid

Compiler

Compiled 19 to 23 computations (-21.1% saved)

simplify169.0ms (5.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (160.0ms)

Iter	Nodes	Cost
0	1745	13
1	1745	13

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: 0.3b

Counts

2 → 1

Compiler

Compiled 18 to 18 computations (0% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite10.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`*-un-lft-identity_binary64`
7×	`add-sqr-sqrt_binary64`
6×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-/l*_binary64` `times-frac_binary64`
4×	`distribute-lft-out--_binary64`
3×	`add-cube-cbrt_binary64`
2×	`associate-/l/_binary64` `distribute-lft-out_binary64` `cbrt-undiv_binary64` `difference-of-squares_binary64` `div-exp_binary64`
1×	`associate-/r*_binary64` `add-log-exp_binary64` `pow1_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `div-sub_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64` `div-inv_binary64` `flip--_binary64`

Counts

1 → 30

Calls

1 calls:

9.0ms

(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t 2))

series12.0ms (0.4%)

Counts

1 → 3

Calls

1 calls:

12.0ms

(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t 2))

simplify46.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5207	513

prune29.0ms (0.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	30	3	33
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	30	4	34

Merged error: 0b

Counts

34 → 4

Compiler

Compiled 490 to 221 computations (54.9% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite22.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`*-un-lft-identity_binary64`
8×	`times-frac_binary64`
7×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`add-sqr-sqrt_binary64`
4×	`add-log-exp_binary64` `add-cube-cbrt_binary64` `associate-/l*_binary64`
3×	`distribute-lft-out_binary64` `distribute-lft-out--_binary64` `div-inv_binary64`
2×	`associate-/l/_binary64` `pow1_binary64` `cbrt-undiv_binary64` `div-exp_binary64`
1×	`flip3-+_binary64` `associate-/r*_binary64` `sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `distribute-rgt-out--_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64` `difference-of-squares_binary64` `sub-div_binary64` `flip--_binary64` `flip-+_binary64` `frac-sub_binary64`

Counts

2 → 43

Calls

2 calls:

12.0ms	(-.f64 (/.f64 (+.f64 x y) (.f64 t 2)) (/.f64 z (.f64 t 2)))
7.0ms	(/.f64 (+.f64 x y) (*.f64 t 2))

series21.0ms (0.7%)

Counts

2 → 6

Calls

2 calls:

13.0ms	(-.f64 (/.f64 (+.f64 x y) (.f64 t 2)) (/.f64 z (.f64 t 2)))
8.0ms	(/.f64 (+.f64 x y) (*.f64 t 2))

simplify50.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5000	856

prune35.0ms (1.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	49	0	49
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	49	4	53

Merged error: 0b

Counts

53 → 4

Compiler

Compiled 912 to 485 computations (46.8% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 t (/.f64 (-.f64 (+.f64 x y) z) 2))
0.3b	(/.f64 1 (/.f64 t (/.f64 (-.f64 (+.f64 x y) z) 2)))

rewrite70.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Rules

831×	`times-frac_binary64`
589×	`*-un-lft-identity_binary64`
445×	`add-sqr-sqrt_binary64`
349×	`add-cube-cbrt_binary64`
96×	`distribute-lft-out--_binary64`
93×	`associate-/r*_binary64`
48×	`distribute-lft-out_binary64` `difference-of-squares_binary64`
28×	`add-exp-log_binary64`
22×	`div-inv_binary64`
18×	`div-exp_binary64`
16×	`add-cbrt-cube_binary64`
9×	`cbrt-undiv_binary64`
6×	`associate-/r/_binary64` `associate-/l*_binary64`
3×	`pow1_binary64` `1-exp_binary64` `rec-exp_binary64`
2×	`add-log-exp_binary64` `clear-num_binary64` `frac-2neg_binary64`
1×	`inv-pow_binary64` `pow-flip_binary64`

Counts

2 → 418

Calls

2 calls:

20.0ms	(/.f64 1 (/.f64 t (/.f64 (-.f64 (+.f64 x y) z) 2)))
11.0ms	(/.f64 t (/.f64 (-.f64 (+.f64 x y) z) 2))

series27.0ms (0.9%)

Counts

2 → 6

Calls

2 calls:

14.0ms	(/.f64 t (/.f64 (-.f64 (+.f64 x y) z) 2))
13.0ms	(/.f64 1 (/.f64 t (/.f64 (-.f64 (+.f64 x y) z) 2)))

simplify171.0ms (5.5%)

Algorithm

1×	egg-herbie

Counts

424 → 424

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	5078	12305

prune318.0ms (10.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	423	1	424
Fresh	1	0	1
Picked	0	1	1
Done	0	2	2
Total	424	4	428

Merged error: 0b

Counts

428 → 4

Compiler

Compiled 9543 to 4205 computations (55.9% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 2 (-.f64 (+.f64 x y) z))
0.3b	(/.f64 1 (*.f64 t (/.f64 2 (-.f64 (+.f64 x y) z))))
0.3b	(*.f64 t (/.f64 2 (-.f64 (+.f64 x y) z)))

rewrite41.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

62×	`*-un-lft-identity_binary64`
46×	`add-sqr-sqrt_binary64`
40×	`times-frac_binary64`
31×	`add-exp-log_binary64`
27×	`add-cube-cbrt_binary64`
24×	`associate-r_binary64`
19×	`add-cbrt-cube_binary64`
14×	`distribute-lft-out--_binary64`
11×	`div-exp_binary64`
8×	`pow1_binary64` `prod-exp_binary64`
7×	`associate-/r*_binary64` `distribute-lft-out_binary64` `difference-of-squares_binary64`
6×	`cbrt-undiv_binary64` `associate-/l*_binary64`
5×	`associate-/r/_binary64`
4×	`cbrt-unprod_binary64`
3×	`add-log-exp_binary64` `1-exp_binary64` `associate-l_binary64` `rec-exp_binary64` `div-inv_binary64`
2×	`pow-prod-down_binary64` `flip3--_binary64` `associate-*r/_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `flip--_binary64` `pow-flip_binary64`
1×	`inv-pow_binary64` `*-commutative_binary64`

Counts

3 → 117

Calls

3 calls:

13.0ms	(*.f64 t (/.f64 2 (-.f64 (+.f64 x y) z)))
12.0ms	(/.f64 1 (*.f64 t (/.f64 2 (-.f64 (+.f64 x y) z))))
11.0ms	(/.f64 2 (-.f64 (+.f64 x y) z))

series40.0ms (1.3%)

Counts

3 → 9

Calls

3 calls:

14.0ms	(*.f64 t (/.f64 2 (-.f64 (+.f64 x y) z)))
13.0ms	(/.f64 1 (*.f64 t (/.f64 2 (-.f64 (+.f64 x y) z))))
12.0ms	(/.f64 2 (-.f64 (+.f64 x y) z))

simplify112.0ms (3.6%)

Algorithm

1×	egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 0 (86.0ms)

Iter	Nodes	Cost
0	4967	1862
1	4967	1862

prune71.0ms (2.3%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	126	0	126
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	126	4	130

Merged error: 0b

Counts

130 → 4

Compiler

Compiled 2026 to 968 computations (52.2% saved)

regimes389.0ms (12.5%)

Compiler: Compiled 441 to 471 computations (-6.8% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	30	19
1	30	19

end0.0ms (0%)

sample968.0ms (31.2%)

Algorithm

1×

intervals

Results

242.0ms	8000×	body	80	valid
90.0ms	2766×	body	80	invalid

Compiler

Compiled 67 to 69 computations (-3% saved)

Details

analyze444.0ms (14.3%)

sample23.0ms (0.7%)

simplify169.0ms (5.4%)

prune5.0ms (0.2%)

localize6.0ms (0.2%)

rewrite10.0ms (0.3%)

series12.0ms (0.4%)

simplify46.0ms (1.5%)

prune29.0ms (0.9%)

localize7.0ms (0.2%)

rewrite22.0ms (0.7%)

series21.0ms (0.7%)

simplify50.0ms (1.6%)

prune35.0ms (1.1%)

localize7.0ms (0.2%)

rewrite70.0ms (2.2%)

series27.0ms (0.9%)

simplify171.0ms (5.5%)

prune318.0ms (10.2%)

localize8.0ms (0.2%)

rewrite41.0ms (1.3%)

series40.0ms (1.3%)

simplify112.0ms (3.6%)

prune71.0ms (2.3%)

regimes389.0ms (12.5%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample968.0ms (31.2%)

Profiling