Details

analyze673.0ms (16.1%)

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 (0.5%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
2.0ms	66×	body	128	invalid

Compiler

Compiled 19 to 21 computations (-10.5% saved)

simplify30.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	400	10
1	400	10

prune3.0ms (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: 0.1b

Counts

2 → 2

Compiler

Compiled 23 to 22 computations (4.3% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.5b	(-.f64 (.f64 x y) (.f64 z y))
6.6b	(.f64 (-.f64 (.f64 x y) (*.f64 z y)) t)

rewrite13.0ms (0.3%)

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))

series197.0ms (4.7%)

Counts

2 → 6

Calls

2 calls:

132.0ms	(.f64 (-.f64 (.f64 x y) (*.f64 z y)) t)
64.0ms	(-.f64 (.f64 x y) (.f64 z y))

simplify59.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5061	471

prune38.0ms (0.9%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	32	7	39
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	32	9	41

Merged error: 0.0b

Counts

41 → 9

Compiler

Compiled 655 to 214 computations (67.3% saved)

localize15.0ms (0.4%)

Local error

Found 4 expressions with local error:

1.2b	(.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)))))
8.3b	(cbrt.f64 (-.f64 (.f64 x y) (.f64 z y)))
8.3b	(cbrt.f64 (-.f64 (.f64 x y) (.f64 z y)))
8.3b	(cbrt.f64 (*.f64 y (-.f64 x z)))

rewrite45.0ms (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:

18.0ms	(.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)))
4.0ms	(cbrt.f64 (-.f64 (.f64 x y) (.f64 z y)))
4.0ms	(cbrt.f64 (-.f64 (.f64 x y) (.f64 z y)))

series1.5s (35.1%)

Counts

4 → 12

Calls

4 calls:

710.0ms	(.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)))))
279.0ms	(cbrt.f64 (*.f64 y (-.f64 x z)))
244.0ms	(cbrt.f64 (-.f64 (.f64 x y) (.f64 z y)))
236.0ms	(cbrt.f64 (-.f64 (.f64 x y) (.f64 z y)))

simplify80.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4948	2945
1	4948	2945

prune110.0ms (2.6%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	98	1	99
Fresh	1	6	7
Picked	1	0	1
Done	0	1	1
Total	100	8	108

Merged error: 0.0b

Counts

108 → 8

Compiler

Compiled 3441 to 699 computations (79.7% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 t (-.f64 x z))
7.5b	(.f64 y (.f64 t (-.f64 x z)))

rewrite18.0ms (0.4%)

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))

series163.0ms (3.9%)

Counts

2 → 6

Calls

2 calls:

100.0ms	(.f64 y (.f64 t (-.f64 x z)))
62.0ms	(*.f64 t (-.f64 x z))

simplify52.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5455	578

prune36.0ms (0.9%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	51	3	54
Fresh	3	3	6
Picked	0	1	1
Done	0	1	1
Total	54	8	62

Merged error: 0.0b

Counts

62 → 8

Compiler

Compiled 728 to 224 computations (69.2% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite10.0ms (0.2%)

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:

8.0ms

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

series98.0ms (2.3%)

Counts

1 → 3

Calls

1 calls:

98.0ms

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

simplify49.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4978	315
1	4978	315

prune15.0ms (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: 0.0b

Counts

35 → 9

Compiler

Compiled 296 to 70 computations (76.4% saved)

regimes216.0ms (5.2%)

Compiler: Compiled 970 to 680 computations (29.9% saved)

bsearch1.0ms (0%)

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

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	61	116
1	61	116

end0.0ms (0%)

sample755.0ms (18%)

Algorithm

1×

intervals

Results

248.0ms	8000×	body	128	valid
57.0ms	1832×	body	128	invalid

Compiler

Compiled 273 to 158 computations (42.1% saved)

Details

analyze673.0ms (16.1%)

sample20.0ms (0.5%)

simplify30.0ms (0.7%)

prune3.0ms (0.1%)

localize7.0ms (0.2%)

rewrite13.0ms (0.3%)

series197.0ms (4.7%)

simplify59.0ms (1.4%)

prune38.0ms (0.9%)

localize15.0ms (0.4%)

rewrite45.0ms (1.1%)

series1.5s (35.1%)

simplify80.0ms (1.9%)

prune110.0ms (2.6%)

localize5.0ms (0.1%)

rewrite18.0ms (0.4%)

series163.0ms (3.9%)

simplify52.0ms (1.2%)

prune36.0ms (0.9%)

localize5.0ms (0.1%)

rewrite10.0ms (0.2%)

series98.0ms (2.3%)

simplify49.0ms (1.2%)

prune15.0ms (0.4%)

regimes216.0ms (5.2%)

bsearch1.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample755.0ms (18%)

Profiling