Details

analyze173.0ms (2%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	16
1	76	16
0	1	1
1	1	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)

sample34.0ms (0.4%)

Algorithm

1×

intervals

Results

11.0ms	65×	body	512	valid
7.0ms	135×	body	128	valid
4.0ms	42×	body	256	valid
3.0ms	14×	body	1024	valid

Compiler

Compiled 23 to 22 computations (4.3% saved)

simplify19.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (8.0ms)

Iter	Nodes	Cost
0	76	16
1	76	16

prune4.0ms (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

Error

16.3b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize19.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

rewrite115.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

118×	`*-un-lft-identity_binary64_3147`
95×	`add-sqr-sqrt_binary64_3169`
90×	`times-frac_binary64_3153`
43×	`add-cube-cbrt_binary64_3182`
30×	`distribute-lft-out--_binary64_3099`
27×	`cancel-sign-sub-inv_binary64_3113`
23×	`difference-of-squares_binary64_3116`
11×	`add-exp-log_binary64_3185` `associate-/r*_binary64_3091`
10×	`distribute-lft-out_binary64_3098`
8×	`associate-/r/_binary64_3093`
7×	`difference-of-sqr-1_binary64_3117` `add-cbrt-cube_binary64_3183` `div-inv_binary64_3144`
6×	`associate-/l*_binary64_3092`
5×	`pow1_binary64_3208` `add-log-exp_binary64_3186`
4×	`flip--_binary64_3122` `div-exp_binary64_3198`
3×	`flip3--_binary64_3151`
2×	`clear-num_binary64_3146` `flip-+_binary64_3121` `frac-2neg_binary64_3158` `inv-pow_binary64_3232` `cbrt-undiv_binary64_3181` `pow-flip_binary64_3221` `1-exp_binary64_3191` `rec-exp_binary64_3197`
1×	`flip3-+_binary64_3150` `sub-neg_binary64_3140` `frac-sub_binary64_3156` `diff-log_binary64_3239`

Counts

3 → 151

Calls

3 calls:

66.0ms	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
11.0ms	(/.f64 1 (-.f64 x 1))
10.0ms	(/.f64 1 (+.f64 x 1))

series244.0ms (2.9%)

Counts

3 → 35

Calls

3 calls:

135.0ms	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
55.0ms	(/.f64 1 (+.f64 x 1))
54.0ms	(/.f64 1 (-.f64 x 1))

Compiler

Compiled 577 to 511 computations (11.4% saved)

simplify136.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

186 → 186

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	4930	2785
1	4930	2785

prune368.0ms (4.3%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	183	3	186
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	184	3	187

Error

0.4b

Counts

187 → 3

Compiler

Compiled 3092 to 2481 computations (19.8% saved)

localize13.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 -1 (*.f64 x x))
0.0b	(/.f64 (+.f64 x (-.f64 -2 x)) (+.f64 -1 (*.f64 x x)))
2.9b	(+.f64 x (-.f64 -2 x))

rewrite45.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

39×	`*-un-lft-identity_binary64_3147`
15×	`times-frac_binary64_3153`
14×	`add-sqr-sqrt_binary64_3169` `add-cube-cbrt_binary64_3182`
10×	`distribute-lft-out_binary64_3098` `add-log-exp_binary64_3186`
5×	`add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183` `distribute-lft-out--_binary64_3099` `associate-/l*_binary64_3092`
4×	`flip-+_binary64_3121` `flip3-+_binary64_3150` `associate-+r+_binary64_3079`
3×	`cancel-sign-sub-inv_binary64_3113` `associate-/r*_binary64_3091` `pow1_binary64_3208` `sum-log_binary64_3238`
2×	`associate-/l/_binary64_3094` `associate-+r-_binary64_3081` `+-commutative_binary64_3077` `associate-/r/_binary64_3093`
1×	`clear-num_binary64_3146` `frac-2neg_binary64_3158` `sub-neg_binary64_3140` `div-sub_binary64_3152` `cbrt-undiv_binary64_3181` `div-exp_binary64_3198` `diff-log_binary64_3239` `div-inv_binary64_3144`

Counts

3 → 70

Calls

3 calls:

17.0ms	(/.f64 (+.f64 x (-.f64 -2 x)) (+.f64 -1 (*.f64 x x)))
13.0ms	(+.f64 x (-.f64 -2 x))
5.0ms	(+.f64 -1 (*.f64 x x))

series172.0ms (2%)

Counts

3 → 20

Calls

3 calls:

96.0ms	(/.f64 (+.f64 x (-.f64 -2 x)) (+.f64 -1 (*.f64 x x)))
62.0ms	(+.f64 -1 (*.f64 x x))
14.0ms	(+.f64 x (-.f64 -2 x))

Compiler

Compiled 327 to 290 computations (11.3% saved)

simplify131.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (100.0ms)

Iter	Nodes	Cost
0	5198	1161

prune139.0ms (1.6%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	87	3	90
Fresh	0	2	2
Picked	1	0	1
Done	0	0	0
Total	88	5	93

Error

0.3b

Counts

93 → 5

Compiler

Compiled 1352 to 876 computations (35.2% saved)

localize22.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.4b	(/.f64 -2 (+.f64 (*.f64 x x) -1))
17.1b	(cbrt.f64 (/.f64 -2 (+.f64 (*.f64 x x) -1)))
17.1b	(cbrt.f64 (/.f64 -2 (+.f64 (*.f64 x x) -1)))
17.1b	(cbrt.f64 (/.f64 -2 (+.f64 (*.f64 x x) -1)))

rewrite71.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

54×	`cbrt-prod_binary64_3178`
48×	`times-frac_binary64_3153`
37×	`*-un-lft-identity_binary64_3147` `add-sqr-sqrt_binary64_3169` `add-cube-cbrt_binary64_3182`
13×	`difference-of-sqr--1_binary64_3118`
8×	`associate-/r/_binary64_3093`
6×	`add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183`
4×	`flip-+_binary64_3121` `associate-/r*_binary64_3091` `flip3-+_binary64_3150` `pow1_binary64_3208` `add-log-exp_binary64_3186` `div-inv_binary64_3144`
3×	`cbrt-div_binary64_3179` `pow1/3_binary64_3229` `associate-/l*_binary64_3092`
1×	`clear-num_binary64_3146` `frac-2neg_binary64_3158` `cbrt-undiv_binary64_3181` `div-exp_binary64_3198`

Counts

4 → 114

Calls

4 calls:

12.0ms	(/.f64 -2 (+.f64 (*.f64 x x) -1))
11.0ms	(cbrt.f64 (/.f64 -2 (+.f64 (*.f64 x x) -1)))
11.0ms	(cbrt.f64 (/.f64 -2 (+.f64 (*.f64 x x) -1)))
11.0ms	(cbrt.f64 (/.f64 -2 (+.f64 (*.f64 x x) -1)))

series878.0ms (10.3%)

Counts

4 → 30

Calls

4 calls:

259.0ms	(cbrt.f64 (/.f64 -2 (+.f64 (*.f64 x x) -1)))
251.0ms	(cbrt.f64 (/.f64 -2 (+.f64 (*.f64 x x) -1)))
251.0ms	(cbrt.f64 (/.f64 -2 (+.f64 (*.f64 x x) -1)))
116.0ms	(/.f64 -2 (+.f64 (*.f64 x x) -1))

Compiler

Compiled 1745 to 1488 computations (14.7% saved)

simplify145.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 0 (88.0ms)

Iter	Nodes	Cost
0	5020	3026

prune461.0ms (5.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	142	2	144
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	142	7	149

Error

0.3b

Counts

149 → 7

Compiler

Compiled 4990 to 3485 computations (30.2% saved)

localize31.0ms (0.4%)

Local error

Found 4 expressions with local error:

1.0b	(cbrt.f64 -2)
17.1b	(cbrt.f64 (/.f64 -2 (+.f64 (*.f64 x x) -1)))
17.1b	(cbrt.f64 (/.f64 -2 (+.f64 (*.f64 x x) -1)))
17.1b	(cbrt.f64 (.f64 (.f64 (cbrt.f64 -2) (cbrt.f64 -2)) (/.f64 (cbrt.f64 -2) (+.f64 (*.f64 x x) -1))))

rewrite66.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

40×	`cbrt-prod_binary64_3178`
24×	`times-frac_binary64_3153`
21×	`*-un-lft-identity_binary64_3147` `add-sqr-sqrt_binary64_3169` `add-cube-cbrt_binary64_3182`
6×	`difference-of-sqr--1_binary64_3118`
4×	`pow1/3_binary64_3229` `add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183` `pow1_binary64_3208` `add-log-exp_binary64_3186` `associate-/r/_binary64_3093`
3×	`cbrt-div_binary64_3179`
2×	`flip-+_binary64_3121` `flip3-+_binary64_3150` `div-inv_binary64_3144`
1×	`associate-*r/_binary64_3089`

Counts

4 → 75

Calls

4 calls:

25.0ms	(cbrt.f64 (.f64 (.f64 (cbrt.f64 -2) (cbrt.f64 -2)) (/.f64 (cbrt.f64 -2) (+.f64 (*.f64 x x) -1))))
11.0ms	(cbrt.f64 (/.f64 -2 (+.f64 (*.f64 x x) -1)))
10.0ms	(cbrt.f64 (/.f64 -2 (+.f64 (*.f64 x x) -1)))
2.0ms	(cbrt.f64 -2)

series826.0ms (9.7%)

Counts

4 → 21

Calls

4 calls:

281.0ms	(cbrt.f64 (/.f64 -2 (+.f64 (*.f64 x x) -1)))
278.0ms	(cbrt.f64 (.f64 (.f64 (cbrt.f64 -2) (cbrt.f64 -2)) (/.f64 (cbrt.f64 -2) (+.f64 (*.f64 x x) -1))))
267.0ms	(cbrt.f64 (/.f64 -2 (+.f64 (*.f64 x x) -1)))
0.0ms	(cbrt.f64 -2)

Compiler

Compiled 1463 to 1280 computations (12.5% saved)

simplify161.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (116.0ms)

Iter	Nodes	Cost
0	5133	1987

prune365.0ms (4.3%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	95	1	96
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	95	8	103

Error

0.3b

Counts

103 → 8

Compiler

Compiled 3802 to 2832 computations (25.5% saved)

regimes410.0ms (4.8%)

Accuracy

Total 0.1b remaining (18.3%)

Threshold costs 0.1b (18.3%)

Compiler

Compiled 2526 to 2092 computations (17.2% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	14
1	10	14

end0.0ms (0%)

sample3.5s (40.8%)

Algorithm

1×

intervals

Results

351.0ms	1999×	body	512	valid
286.0ms	4591×	body	128	valid
111.0ms	963×	body	256	valid
101.0ms	447×	body	1024	valid

Compiler

Compiled 1255 to 1039 computations (17.2% saved)

Details

analyze173.0ms (2%)

sample34.0ms (0.4%)

simplify19.0ms (0.2%)

prune4.0ms (0.1%)

localize19.0ms (0.2%)

rewrite115.0ms (1.3%)

series244.0ms (2.9%)

simplify136.0ms (1.6%)

prune368.0ms (4.3%)

localize13.0ms (0.2%)

rewrite45.0ms (0.5%)

series172.0ms (2%)

simplify131.0ms (1.5%)

prune139.0ms (1.6%)

localize22.0ms (0.3%)

rewrite71.0ms (0.8%)

series878.0ms (10.3%)

simplify145.0ms (1.7%)

prune461.0ms (5.4%)

localize31.0ms (0.4%)

rewrite66.0ms (0.8%)

series826.0ms (9.7%)

simplify161.0ms (1.9%)

prune365.0ms (4.3%)

regimes410.0ms (4.8%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample3.5s (40.8%)

Profiling