Details

analyze4.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
75%	25%	0%	4
87.5%	12.5%	0%	5
93.7%	6.2%	0%	6
96.8%	3.1%	0%	7
98.4%	1.6%	0%	8
99.2%	0.8%	0%	9
99.6%	0.4%	0%	10
99.8%	0.2%	0%	11
99.9%	0.1%	0%	12
99.9%	0%	0%	13
99.9%	0%	0%	14

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample18.0ms (0.7%)

Algorithm

1×

intervals

Results

5.0ms	66×	body	512	valid
4.0ms	148×	body	128	valid
2.0ms	31×	body	256	valid
1.0ms	11×	body	1024	valid

Compiler

Compiled 23 to 22 computations (4.3% saved)

simplify11.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	76	16
1	76	16

prune2.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 13.5b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 1 (+.f64 x 1))
3.9b	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))

rewrite59.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Rules

93×	`*-un-lft-identity_binary64`
69×	`times-frac_binary64`
66×	`add-sqr-sqrt_binary64`
30×	`add-cube-cbrt_binary64`
27×	`cancel-sign-sub-inv_binary64`
26×	`distribute-lft-out--_binary64`
15×	`difference-of-squares_binary64`
10×	`distribute-lft-out_binary64`
6×	`associate-/r/_binary64` `div-inv_binary64`
5×	`add-exp-log_binary64`
4×	`associate-/r*_binary64` `add-log-exp_binary64` `add-cbrt-cube_binary64`
3×	`pow1_binary64` `difference-of-sqr-1_binary64` `associate-/l*_binary64` `flip--_binary64`
2×	`flip3--_binary64` `flip-+_binary64`
1×	`flip3-+_binary64` `sub-neg_binary64` `diff-log_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `inv-pow_binary64` `frac-2neg_binary64` `rec-exp_binary64` `div-exp_binary64` `pow-flip_binary64` `frac-sub_binary64`

Counts

2 → 101

Calls

2 calls:

42.0ms	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
6.0ms	(/.f64 1 (+.f64 x 1))

series90.0ms (3.5%)

Counts

2 → 6

Calls

2 calls:

73.0ms	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
17.0ms	(/.f64 1 (+.f64 x 1))

simplify75.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5108	1723

prune118.0ms (4.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	106	1	107
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	106	2	108

Merged error: 0.2b

Counts

108 → 2

Compiler

Compiled 1944 to 1610 computations (17.2% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 -1 (*.f64 x x))
0.2b	(/.f64 -2 (+.f64 -1 (*.f64 x x)))

rewrite11.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
9×	`times-frac_binary64`
4×	`add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`associate-/r_binary64` `associate-/l_binary64`
2×	`flip3-+_binary64` `pow1_binary64` `associate-/r/_binary64` `flip-+_binary64`
1×	`cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `+-commutative_binary64` `sum-log_binary64`

Counts

2 → 40

Calls

2 calls:

5.0ms	(/.f64 -2 (+.f64 -1 (*.f64 x x)))
3.0ms	(+.f64 -1 (*.f64 x x))

series90.0ms (3.5%)

Counts

2 → 6

Calls

2 calls:

50.0ms	(+.f64 -1 (*.f64 x x))
40.0ms	(/.f64 -2 (+.f64 -1 (*.f64 x x)))

simplify56.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4973	696
1	4973	696

prune82.0ms (3.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	42	4	46
Fresh	0	0	0
Picked	0	1	1
Done	1	0	1
Total	43	5	48

Merged error: 0.2b

Counts

48 → 5

Compiler

Compiled 1218 to 873 computations (28.3% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.9b	(/.f64 -2 (.f64 (cbrt.f64 (+.f64 -1 (.f64 x x))) (cbrt.f64 (+.f64 -1 (*.f64 x x)))))
16.3b	(cbrt.f64 (+.f64 -1 (*.f64 x x)))
16.3b	(cbrt.f64 (+.f64 -1 (*.f64 x x)))
16.3b	(cbrt.f64 (+.f64 -1 (*.f64 x x)))

rewrite28.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`cbrt-div_binary64`
9×	`flip3-+_binary64` `*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-sqr-sqrt_binary64` `flip-+_binary64` `cbrt-prod_binary64`
8×	`associate-/r/_binary64`
7×	`add-cbrt-cube_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `frac-times_binary64`
3×	`pow1/3_binary64` `associate-/l*_binary64` `times-frac_binary64`
2×	`cbrt-undiv_binary64` `associate-r/_binary64` `div-exp_binary64` `associate-l/_binary64`
1×	`associate-/r*_binary64` `cbrt-unprod_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64` `div-inv_binary64`

Counts

4 → 68

Calls

4 calls:

11.0ms	(/.f64 -2 (.f64 (cbrt.f64 (+.f64 -1 (.f64 x x))) (cbrt.f64 (+.f64 -1 (*.f64 x x)))))
3.0ms	(cbrt.f64 (+.f64 -1 (*.f64 x x)))
3.0ms	(cbrt.f64 (+.f64 -1 (*.f64 x x)))
3.0ms	(cbrt.f64 (+.f64 -1 (*.f64 x x)))

series396.0ms (15.5%)

Counts

4 → 12

Calls

4 calls:

131.0ms	(/.f64 -2 (.f64 (cbrt.f64 (+.f64 -1 (.f64 x x))) (cbrt.f64 (+.f64 -1 (*.f64 x x)))))
95.0ms	(cbrt.f64 (+.f64 -1 (*.f64 x x)))
87.0ms	(cbrt.f64 (+.f64 -1 (*.f64 x x)))
84.0ms	(cbrt.f64 (+.f64 -1 (*.f64 x x)))

simplify68.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5033	1523

prune141.0ms (5.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	79	1	80
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	79	6	85

Merged error: 0.2b

Counts

85 → 6

Compiler

Compiled 2766 to 1854 computations (33% saved)

localize16.0ms (0.6%)

Local error

Found 4 expressions with local error:

16.3b	(cbrt.f64 (+.f64 -1 (*.f64 x x)))
16.3b	(cbrt.f64 (+.f64 -1 (*.f64 x x)))
16.3b	(cbrt.f64 (+.f64 -1 (*.f64 x x)))
16.3b	(cbrt.f64 (+.f64 -1 (*.f64 x x)))

rewrite20.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`cbrt-prod_binary64`
8×	`cbrt-div_binary64` `*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`flip3-+_binary64` `add-log-exp_binary64` `pow1_binary64` `pow1/3_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `flip-+_binary64`

Counts

4 → 52

Calls

4 calls:

3.0ms	(cbrt.f64 (+.f64 -1 (*.f64 x x)))
3.0ms	(cbrt.f64 (+.f64 -1 (*.f64 x x)))
3.0ms	(cbrt.f64 (+.f64 -1 (*.f64 x x)))
3.0ms	(cbrt.f64 (+.f64 -1 (*.f64 x x)))

series344.0ms (13.5%)

Counts

4 → 12

Calls

4 calls:

94.0ms	(cbrt.f64 (+.f64 -1 (*.f64 x x)))
87.0ms	(cbrt.f64 (+.f64 -1 (*.f64 x x)))
84.0ms	(cbrt.f64 (+.f64 -1 (*.f64 x x)))
79.0ms	(cbrt.f64 (+.f64 -1 (*.f64 x x)))

simplify91.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4804	1156
1	4804	1156

prune145.0ms (5.7%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	64	6	70

Merged error: 0.2b

Counts

70 → 6

Compiler

Compiled 2996 to 1950 computations (34.9% saved)

regimes15.0ms (0.6%)

Compiler: Compiled 111 to 82 computations (26.1% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	8	10

end0.0ms (0%)

sample657.0ms (25.7%)

Algorithm

1×

intervals

Results

171.0ms	2061×	body	512	valid
145.0ms	4558×	body	128	valid
56.0ms	1004×	body	256	valid
43.0ms	377×	body	1024	valid

Compiler

Compiled 128 to 98 computations (23.4% saved)

Details

analyze4.0ms (0.1%)

sample18.0ms (0.7%)

simplify11.0ms (0.4%)

prune2.0ms (0.1%)

localize6.0ms (0.3%)

rewrite59.0ms (2.3%)

series90.0ms (3.5%)

simplify75.0ms (2.9%)

prune118.0ms (4.6%)

localize5.0ms (0.2%)

rewrite11.0ms (0.4%)

series90.0ms (3.5%)

simplify56.0ms (2.2%)

prune82.0ms (3.2%)

localize9.0ms (0.3%)

rewrite28.0ms (1.1%)

series396.0ms (15.5%)

simplify68.0ms (2.7%)

prune141.0ms (5.5%)

localize16.0ms (0.6%)

rewrite20.0ms (0.8%)

series344.0ms (13.5%)

simplify91.0ms (3.5%)

prune145.0ms (5.7%)

regimes15.0ms (0.6%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample657.0ms (25.7%)

Profiling