Details

analyze684.0ms (19.2%)

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
9.4%	90.4%	0.2%	10
23.4%	74.9%	1.8%	11
27.3%	69%	3.7%	12
36.6%	56.5%	6.8%	13
40.5%	52%	7.4%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample20.0ms (0.6%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	80	valid
1.0ms	39×	body	80	invalid

Compiler

Compiled 19 to 21 computations (-10.5% saved)

simplify38.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	439	10
1	439	10

prune9.0ms (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: 0.1b

Counts

2 → 2

Compiler

Compiled 23 to 22 computations (4.3% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

1.2b	(-.f64 (.f64 x y) (.f64 z y))
6.1b	(.f64 (-.f64 (.f64 x y) (*.f64 z y)) t)

rewrite13.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-sqr-sqrt_binary64`
4×	`-un-lft-identity_binary64` `add-log-exp_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l*_binary64`
3×	`associate-r_binary64`
2×	`flip3--_binary64` `distribute-rgt-out--_binary64` `flip--_binary64` `associate-*l/_binary64`
1×	`pow-prod-down_binary64` `sub-neg_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `*-commutative_binary64`

Counts

2 → 33

Calls

2 calls:

7.0ms	(.f64 (-.f64 (.f64 x y) (*.f64 z y)) t)
4.0ms	(-.f64 (.f64 x y) (.f64 z y))

series27.0ms (0.8%)

Counts

2 → 6

Calls

2 calls:

16.0ms	(.f64 (-.f64 (.f64 x y) (*.f64 z y)) t)
12.0ms	(-.f64 (.f64 x y) (.f64 z y))

simplify81.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	5100	471

prune44.0ms (1.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	33	6	39
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	33	8	41

Merged error: 0.0b

Counts

41 → 8

Compiler

Compiled 618 to 198 computations (68% saved)

localize15.0ms (0.4%)

Local error

Found 4 expressions with local error:

1.6b	(.f64 (.f64 (cbrt.f64 (-.f64 (.f64 x y) (.f64 z y))) (cbrt.f64 (-.f64 (.f64 x y) (.f64 z y)))) (.f64 t (cbrt.f64 (.f64 y (-.f64 x z)))))
8.7b	(cbrt.f64 (*.f64 y (-.f64 x z)))
8.7b	(cbrt.f64 (-.f64 (.f64 x y) (.f64 z y)))
8.7b	(cbrt.f64 (-.f64 (.f64 x y) (.f64 z y)))

rewrite38.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

60×	`cbrt-div_binary64`
46×	`associate-*r/_binary64`
30×	`flip3--_binary64` `flip--_binary64`
28×	`frac-times_binary64`
16×	`pow1_binary64` `add-exp-log_binary64`
14×	`associate-*l/_binary64`
10×	`add-cbrt-cube_binary64`
9×	`cbrt-prod_binary64`
8×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
6×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`add-log-exp_binary64`
3×	`pow1/3_binary64`
2×	`distribute-rgt-out--_binary64`
1×	`associate-r_binary64` `associate-l_binary64` `*-commutative_binary64`

Counts

4 → 87

Calls

4 calls:

19.0ms	(.f64 (.f64 (cbrt.f64 (-.f64 (.f64 x y) (.f64 z y))) (cbrt.f64 (-.f64 (.f64 x y) (.f64 z y)))) (.f64 t (cbrt.f64 (.f64 y (-.f64 x z)))))
5.0ms	(cbrt.f64 (*.f64 y (-.f64 x z)))
5.0ms	(cbrt.f64 (-.f64 (.f64 x y) (.f64 z y)))
5.0ms	(cbrt.f64 (-.f64 (.f64 x y) (.f64 z y)))

series230.0ms (6.4%)

Counts

4 → 12

Calls

4 calls:

117.0ms	(.f64 (.f64 (cbrt.f64 (-.f64 (.f64 x y) (.f64 z y))) (cbrt.f64 (-.f64 (.f64 x y) (.f64 z y)))) (.f64 t (cbrt.f64 (.f64 y (-.f64 x z)))))
39.0ms	(cbrt.f64 (-.f64 (.f64 x y) (.f64 z y)))
39.0ms	(cbrt.f64 (*.f64 y (-.f64 x z)))
35.0ms	(cbrt.f64 (-.f64 (.f64 x y) (.f64 z y)))

simplify111.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	5035	2945

prune90.0ms (2.5%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	98	1	99
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	98	9	107

Merged error: 0.0b

Counts

107 → 9

Compiler

Compiled 3414 to 694 computations (79.7% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 t (-.f64 x z))
7.1b	(.f64 y (.f64 t (-.f64 x z)))

rewrite17.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64`
7×	`*-un-lft-identity_binary64`
6×	`sub-neg_binary64` `associate-r_binary64` `associate-r/_binary64` `associate-l*_binary64`
5×	`add-cube-cbrt_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64`
4×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
2×	`add-log-exp_binary64` `flip3--_binary64` `flip--_binary64` `*-commutative_binary64`
1×	`unswap-sqr_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64`

Counts

2 → 48

Calls

2 calls:

8.0ms	(.f64 y (.f64 t (-.f64 x z)))
7.0ms	(*.f64 t (-.f64 x z))

series22.0ms (0.6%)

Counts

2 → 6

Calls

2 calls:

12.0ms	(.f64 y (.f64 t (-.f64 x z)))
10.0ms	(*.f64 t (-.f64 x z))

simplify66.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5279	578

prune40.0ms (1.1%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	50	4	54
Fresh	4	2	6
Picked	0	1	1
Done	1	1	2
Total	55	8	63

Merged error: 0.0b

Counts

63 → 8

Compiler

Compiled 695 to 208 computations (70.1% saved)

localize8.0ms (0.2%)

Local error

Found 1 expressions with local error:

5.6b	(.f64 (.f64 y t) (-.f64 x z))

rewrite10.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`associate-r_binary64`
4×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
2×	`sub-neg_binary64` `associate-*r/_binary64` `add-cube-cbrt_binary64`
1×	`add-log-exp_binary64` `flip3--_binary64` `distribute-lft-in_binary64` `associate-l_binary64` `distribute-rgt-in_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `flip--_binary64` `*-commutative_binary64`

Counts

1 → 24

Calls

1 calls:

9.0ms

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

series12.0ms (0.3%)

Counts

1 → 3

Calls

1 calls:

12.0ms

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

simplify70.0ms (2%)

Algorithm

1×	egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5021	315

prune13.0ms (0.4%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	26	1	27
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	26	9	35

Merged error: 0b

Counts

35 → 9

Compiler

Compiled 296 to 70 computations (76.4% saved)

regimes401.0ms (11.3%)

Compiler: Compiled 802 to 590 computations (26.4% saved)

bsearch1.0ms (0%)

Compiler: Compiled 7 to 7 computations (0% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	55	55
1	55	55

end0.0ms (0%)

sample1.5s (41.7%)

Algorithm

1×

intervals

Results

283.0ms	8000×	body	80	valid
66.0ms	1841×	body	80	invalid

Compiler

Compiled 203 to 136 computations (33% saved)

Details

analyze684.0ms (19.2%)

sample20.0ms (0.6%)

simplify38.0ms (1.1%)

prune9.0ms (0.2%)

localize7.0ms (0.2%)

rewrite13.0ms (0.4%)

series27.0ms (0.8%)

simplify81.0ms (2.3%)

prune44.0ms (1.2%)

localize15.0ms (0.4%)

rewrite38.0ms (1.1%)

series230.0ms (6.4%)

simplify111.0ms (3.1%)

prune90.0ms (2.5%)

localize5.0ms (0.1%)

rewrite17.0ms (0.5%)

series22.0ms (0.6%)

simplify66.0ms (1.9%)

prune40.0ms (1.1%)

localize8.0ms (0.2%)

rewrite10.0ms (0.3%)

series12.0ms (0.3%)

simplify70.0ms (2%)

prune13.0ms (0.4%)

regimes401.0ms (11.3%)

bsearch1.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.5s (41.7%)

Profiling