Details

analyze6.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	49.7%	50.3%	0
0%	49.7%	50.3%	1
0%	49.7%	50.3%	2
24.8%	24.8%	50.3%	3
37.3%	12.4%	50.3%	4
43.5%	6.2%	50.3%	5
46.6%	3.1%	50.3%	6
48.1%	1.6%	50.3%	7
48.9%	0.8%	50.3%	8
49.3%	0.4%	50.3%	9
49.5%	0.2%	50.3%	10
49.6%	0.1%	50.3%	11
49.6%	0%	50.3%	12
49.7%	0%	50.3%	13
49.7%	0%	50.3%	14

Compiler

Compiled 15 to 12 computations (20% saved)

sample271.0ms (2.6%)

Algorithm

1×

intervals

Results

230.0ms	131×	body	2048	valid
18.0ms	63×	body	1024	valid
5.0ms	8×	body	4096	valid
5.0ms	256×	pre	128	true
4.0ms	30×	body	512	valid
1.0ms	15×	body	256	valid
0.0ms	9×	body	128	valid

Compiler

Compiled 23 to 20 computations (13% saved)

simplify163.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	72	12
1	72	12

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

Merged error: 60.0b

Counts

2 → 1

Compiler

Compiled 16 to 14 computations (12.5% saved)

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

3.5b	(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))

rewrite23.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

34×	`add-sqr-sqrt_binary64_789`
27×	`times-frac_binary64_773`
26×	`*-un-lft-identity_binary64_767`
14×	`cancel-sign-sub-inv_binary64_733`
10×	`add-cube-cbrt_binary64_802`
9×	`difference-of-squares_binary64_736`
7×	`distribute-lft-out--_binary64_719`
5×	`div-inv_binary64_764`
3×	`add-log-exp_binary64_806`
1×	`associate-/r/_binary64_713` `sub-neg_binary64_760` `add-exp-log_binary64_805` `pow1_binary64_828` `diff-log_binary64_859` `frac-sub_binary64_776` `tan-quot_binary64_926` `flip--_binary64_742` `add-cbrt-cube_binary64_803` `flip3--_binary64_771`

Counts

1 → 42

Calls

1 calls:

19.0ms

(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))

series142.0ms (1.3%)

Counts

1 → 3

Calls

1 calls:

142.0ms

(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))

simplify108.0ms (1%)

Algorithm

1×	egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 0 (92.0ms)

Iter	Nodes	Cost
0	4790	735
1	4790	735

prune71.0ms (0.7%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	44	1	45
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	45	1	46

Merged error: 0.4b

Counts

46 → 1

Compiler

Compiled 1059 to 736 computations (30.5% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 1/45 (pow.f64 x 3)) (.f64 2/945 (pow.f64 x 5)))
0.1b	(*.f64 1/45 (pow.f64 x 3))
0.1b	(*.f64 2/945 (pow.f64 x 5))
0.4b	(*.f64 x 1/3)

rewrite30.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

27×	`add-sqr-sqrt_binary64_789`
22×	`associate-r_binary64_707`
16×	`add-exp-log_binary64_805`
13×	`*-un-lft-identity_binary64_767` `add-cube-cbrt_binary64_802`
10×	`add-cbrt-cube_binary64_803`
9×	`associate-l_binary64_708`
8×	`unswap-sqr_binary64_735` `unpow-prod-down_binary64_846`
7×	`prod-exp_binary64_816`
6×	`pow1_binary64_828` `add-log-exp_binary64_806`
4×	`sqr-pow_binary64_739` `cube-prod_binary64_795`
3×	`cbrt-unprod_binary64_800` `*-commutative_binary64_698`
2×	`pow-to-exp_binary64_836` `pow-exp_binary64_835`
1×	`flip-+_binary64_741` `cube-mult_binary64_797` `+-commutative_binary64_697` `sum-log_binary64_858` `flip3-+_binary64_770` `pow-prod-down_binary64_838` `unpow3_binary64_833`

Counts

4 → 85

Calls

4 calls:

7.0ms	(*.f64 1/45 (pow.f64 x 3))
6.0ms	(+.f64 (.f64 1/45 (pow.f64 x 3)) (.f64 2/945 (pow.f64 x 5)))
6.0ms	(*.f64 2/945 (pow.f64 x 5))
4.0ms	(*.f64 x 1/3)

series320.0ms (3%)

Counts

4 → 12

Calls

4 calls:

185.0ms	(+.f64 (.f64 1/45 (pow.f64 x 3)) (.f64 2/945 (pow.f64 x 5)))
65.0ms	(*.f64 2/945 (pow.f64 x 5))
48.0ms	(*.f64 1/45 (pow.f64 x 3))
22.0ms	(*.f64 x 1/3)

simplify52.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5144	1007

prune157.0ms (1.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	93	4	97
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	93	5	98

Merged error: 0.2b

Counts

98 → 5

Compiler

Compiled 2584 to 2085 computations (19.3% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 x 1/3)) (cbrt.f64 (*.f64 x 1/3)))
0.6b	(cbrt.f64 (*.f64 x 1/3))
0.6b	(cbrt.f64 (*.f64 x 1/3))
0.6b	(cbrt.f64 (*.f64 x 1/3))

rewrite18.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`pow1_binary64_828`
10×	`add-sqr-sqrt_binary64_789`
9×	`pow1/3_binary64_849`
8×	`*-un-lft-identity_binary64_767` `add-cube-cbrt_binary64_802`
7×	`cbrt-prod_binary64_798`
6×	`add-exp-log_binary64_805`
4×	`associate-l_binary64_708` `associate-r_binary64_707` `swap-sqr_binary64_734` `add-log-exp_binary64_806` `add-cbrt-cube_binary64_803`
2×	`pow-prod-up_binary64_837` `pow-prod-down_binary64_838` `pow-sqr_binary64_740`
1×	`pow2_binary64_848` `unswap-sqr_binary64_735` `cbrt-unprod_binary64_800` `pow-plus_binary64_830` `prod-exp_binary64_816` `*-commutative_binary64_698`

Counts

4 → 58

Calls

4 calls:

6.0ms	(.f64 (cbrt.f64 (.f64 x 1/3)) (cbrt.f64 (*.f64 x 1/3)))
2.0ms	(cbrt.f64 (*.f64 x 1/3))
2.0ms	(cbrt.f64 (*.f64 x 1/3))
2.0ms	(cbrt.f64 (*.f64 x 1/3))

series759.0ms (7.2%)

Counts

4 → 12

Calls

4 calls:

227.0ms	(.f64 (cbrt.f64 (.f64 x 1/3)) (cbrt.f64 (*.f64 x 1/3)))
180.0ms	(cbrt.f64 (*.f64 x 1/3))
178.0ms	(cbrt.f64 (*.f64 x 1/3))
173.0ms	(cbrt.f64 (*.f64 x 1/3))

simplify57.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4886	556
1	4886	556

prune245.0ms (2.3%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	64	6	70
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	64	11	75

Merged error: 0.1b

Counts

75 → 11

Compiler

Compiled 4264 to 3522 computations (17.4% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)

rewrite17.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_798`
23×	`add-sqr-sqrt_binary64_789`
15×	`*-un-lft-identity_binary64_767` `add-cube-cbrt_binary64_802`
11×	`pow1_binary64_828`
9×	`pow1/3_binary64_849`
6×	`associate-l_binary64_708` `associate-r_binary64_707` `swap-sqr_binary64_734` `add-exp-log_binary64_805`
4×	`unswap-sqr_binary64_735` `add-log-exp_binary64_806` `add-cbrt-cube_binary64_803`
2×	`pow-prod-up_binary64_837` `pow-prod-down_binary64_838` `pow-sqr_binary64_740`
1×	`pow2_binary64_848` `cbrt-unprod_binary64_800` `pow-plus_binary64_830` `prod-exp_binary64_816` `*-commutative_binary64_698`

Counts

4 → 73

Calls

4 calls:

7.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

series611.0ms (5.8%)

Counts

4 → 12

Calls

4 calls:

169.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
152.0ms	(cbrt.f64 x)
146.0ms	(cbrt.f64 x)
144.0ms	(cbrt.f64 x)

simplify52.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5245	563

prune226.0ms (2.2%)

Pruning

14 alts after pruning (11 fresh and 3 done)

	Pruned	Kept	Total
New	82	3	85
Fresh	0	8	8
Picked	0	1	1
Done	0	2	2
Total	82	14	96

Merged error: 0.1b

Counts

96 → 14

Compiler

Compiled 4201 to 3045 computations (27.5% saved)

regimes39.0ms (0.4%)

Compiler: Compiled 364 to 293 computations (19.5% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	22
1	19	22

end0.0ms (0%)

sample7.1s (67.5%)

Algorithm

1×

intervals

Results

5.4s	4055×	body	2048	valid
672.0ms	1996×	body	1024	valid
146.0ms	8000×	pre	128	true
132.0ms	995×	body	512	valid
126.0ms	210×	body	4096	valid
47.0ms	521×	body	256	valid
11.0ms	223×	body	128	valid

Compiler

Compiled 416 to 336 computations (19.2% saved)

Details

analyze6.0ms (0.1%)

sample271.0ms (2.6%)

simplify163.0ms (1.5%)

prune5.0ms (0.1%)

localize5.0ms (0%)

rewrite23.0ms (0.2%)

series142.0ms (1.3%)

simplify108.0ms (1%)

prune71.0ms (0.7%)

localize10.0ms (0.1%)

rewrite30.0ms (0.3%)

series320.0ms (3%)

simplify52.0ms (0.5%)

prune157.0ms (1.5%)

localize14.0ms (0.1%)

rewrite18.0ms (0.2%)

series759.0ms (7.2%)

simplify57.0ms (0.5%)

prune245.0ms (2.3%)

localize14.0ms (0.1%)

rewrite17.0ms (0.2%)

series611.0ms (5.8%)

simplify52.0ms (0.5%)

prune226.0ms (2.2%)

regimes39.0ms (0.4%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample7.1s (67.5%)

Profiling