Details

analyze3.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	74.6%	25.4%	0
0%	74.6%	25.4%	1
37.3%	37.3%	25.4%	2
37.3%	18.7%	44%	3
46.7%	9.3%	44%	4
46.7%	4.7%	48.7%	5
49%	2.3%	48.7%	6
49%	1.2%	49.8%	7
49.6%	0.6%	49.8%	8
49.9%	0.3%	49.8%	9
49.9%	0.1%	50%	10
49.9%	0.1%	50.1%	11
49.9%	0%	50.1%	12
49.9%	0%	50.1%	13
49.9%	0%	50.1%	14

Compiler

Compiled 7 to 6 computations (14.3% saved)

sample36.0ms (1.3%)

Algorithm

1×

intervals

Results

19.0ms	136×	body	1024	valid
4.0ms	54×	body	512	valid
3.0ms	256×	pre	128	true
2.0ms	36×	body	256	valid
2.0ms	14×	body	2048	valid
0.0ms	16×	body	128	valid

Compiler

Compiled 11 to 11 computations (0% saved)

simplify8.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	8	6
1	8	6

prune6.0ms (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: 58.2b

Counts

2 → 1

Compiler

Compiled 8 to 8 computations (0% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

5.2b	(-.f64 (exp.f64 x) 1)

rewrite6.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-sqr-sqrt_binary64`
5×	`*-un-lft-identity_binary64`
3×	`add-log-exp_binary64` `cancel-sign-sub-inv_binary64`
2×	`add-cube-cbrt_binary64` `difference-of-squares_binary64`
1×	`sub-neg_binary64` `pow1_binary64` `flip3--_binary64` `diff-log_binary64` `difference-of-sqr-1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `distribute-lft-out--_binary64` `flip--_binary64`

Counts

1 → 18

Calls

1 calls:

5.0ms

(-.f64 (exp.f64 x) 1)

series17.0ms (0.6%)

Counts

1 → 3

Calls

1 calls:

17.0ms

(-.f64 (exp.f64 x) 1)

simplify85.0ms (3%)

Algorithm

1×	egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	4846	199
1	4846	199

prune60.0ms (2.1%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	17	4	21
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	18	4	22

Merged error: 0.1b

Counts

22 → 4

Compiler

Compiled 587 to 462 computations (21.3% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(.f64 x (+.f64 1/2 (.f64 x 1/6)))
0.3b	(*.f64 x 1/6)

rewrite13.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-sqr-sqrt_binary64`
6×	`-un-lft-identity_binary64` `pow1_binary64` `associate-r_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l*_binary64`
2×	`pow-prod-down_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `associate-r/_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `-commutative_binary64`
1×	`flip3-+_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `flip-+_binary64`

Counts

2 → 40

Calls

2 calls:

6.0ms	(.f64 x (+.f64 1/2 (.f64 x 1/6)))
4.0ms	(*.f64 x 1/6)

series111.0ms (3.8%)

Counts

2 → 6

Calls

2 calls:

84.0ms	(.f64 x (+.f64 1/2 (.f64 x 1/6)))
27.0ms	(*.f64 x 1/6)

simplify82.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4795	440
1	4795	440

prune37.0ms (1.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	46	0	46
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	46	4	50

Merged error: 0.1b

Counts

50 → 4

Compiler

Compiled 728 to 500 computations (31.3% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

5.2b	(log.f64 (exp.f64 (-.f64 (exp.f64 x) 1)))
5.2b	(-.f64 (exp.f64 x) 1)

rewrite16.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-sqr-sqrt_binary64`
12×	`*-un-lft-identity_binary64`
8×	`log-pow_binary64`
7×	`log-prod_binary64` `exp-prod_binary64`
6×	`add-cube-cbrt_binary64` `cancel-sign-sub-inv_binary64`
4×	`add-log-exp_binary64` `exp-sum_binary64` `difference-of-squares_binary64`
3×	`pow1_binary64`
2×	`sub-neg_binary64` `difference-of-sqr-1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `distribute-lft-out--_binary64`
1×	`flip3--_binary64` `diff-log_binary64` `rem-log-exp_binary64` `exp-diff_binary64` `log-div_binary64` `flip--_binary64`

Counts

2 → 42

Calls

2 calls:

7.0ms	(-.f64 (exp.f64 x) 1)
6.0ms	(log.f64 (exp.f64 (-.f64 (exp.f64 x) 1)))

series159.0ms (5.5%)

Counts

2 → 6

Calls

2 calls:

143.0ms	(log.f64 (exp.f64 (-.f64 (exp.f64 x) 1)))
16.0ms	(-.f64 (exp.f64 x) 1)

simplify80.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4916	426
1	4916	426

prune36.0ms (1.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	47	1	48
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	47	5	52

Merged error: 0.1b

Counts

52 → 5

Compiler

Compiled 526 to 362 computations (31.2% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (exp.f64 x) (+.f64 (exp.f64 x) 1))
0.0b	(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) 1) (+.f64 1 (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) 1))))
0.0b	(pow.f64 (exp.f64 x) 3)
5.1b	(-.f64 (pow.f64 (exp.f64 x) 3) 1)

rewrite55.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Rules

99×	`add-sqr-sqrt_binary64`
64×	`*-un-lft-identity_binary64`
48×	`times-frac_binary64`
40×	`difference-of-squares_binary64`
32×	`add-cube-cbrt_binary64`
20×	`difference-of-sqr-1_binary64`
18×	`unpow-prod-down_binary64` `cube-prod_binary64`
16×	`sqr-pow_binary64` `associate-/l*_binary64`
9×	`add-cbrt-cube_binary64`
7×	`pow1_binary64` `add-exp-log_binary64`
6×	`add-log-exp_binary64`
5×	`distribute-lft-out--_binary64`
4×	`associate-r_binary64` `pow-pow_binary64`
3×	`pow-unpow_binary64` `associate-/r_binary64` `associate-l*_binary64` `cancel-sign-sub-inv_binary64` `exp-prod_binary64`
2×	`flip3-+_binary64` `associate-/l/_binary64` `flip3--_binary64` `associate-*r/_binary64` `associate-/r/_binary64` `flip--_binary64` `flip-+_binary64`
1×	`pow-to-exp_binary64` `pow-prod-down_binary64` `sub-neg_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `cbrt-undiv_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `div-sub_binary64` `clear-num_binary64` `rem-cube-cbrt_binary64` `prod-exp_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `pow-exp_binary64` `unpow3_binary64` `*-commutative_binary64` `cube-mult_binary64`

Counts

4 → 160

Calls

4 calls:

14.0ms	(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) 1) (+.f64 1 (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) 1))))
9.0ms	(*.f64 (exp.f64 x) (+.f64 (exp.f64 x) 1))
9.0ms	(-.f64 (pow.f64 (exp.f64 x) 3) 1)
4.0ms	(pow.f64 (exp.f64 x) 3)

series325.0ms (11.2%)

Counts

4 → 12

Calls

4 calls:

207.0ms	(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) 1) (+.f64 1 (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) 1))))
48.0ms	(-.f64 (pow.f64 (exp.f64 x) 3) 1)
39.0ms	(pow.f64 (exp.f64 x) 3)
30.0ms	(*.f64 (exp.f64 x) (+.f64 (exp.f64 x) 1))

simplify110.0ms (3.8%)

Algorithm

1×	egg-herbie

Counts

172 → 172

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4946	4624
1	4946	4624

prune307.0ms (10.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	169	3	172
Fresh	1	1	2
Picked	1	0	1
Done	0	2	2
Total	171	6	177

Merged error: 0.1b

Counts

177 → 6

Compiler

Compiled 5620 to 3848 computations (31.5% saved)

regimes54.0ms (1.9%)

Compiler: Compiled 414 to 338 computations (18.4% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	16
1	14	16

end0.0ms (0%)

sample1.3s (43.4%)

Algorithm

1×

intervals

Results

578.0ms	4076×	body	1024	valid
150.0ms	1964×	body	512	valid
103.0ms	8002×	pre	128	true
64.0ms	427×	body	2048	valid
48.0ms	980×	body	256	valid
14.0ms	553×	body	128	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 129 to 103 computations (20.2% saved)

Details

analyze3.0ms (0.1%)

sample36.0ms (1.3%)

simplify8.0ms (0.3%)

prune6.0ms (0.2%)

localize3.0ms (0.1%)

rewrite6.0ms (0.2%)

series17.0ms (0.6%)

simplify85.0ms (3%)

prune60.0ms (2.1%)

localize6.0ms (0.2%)

rewrite13.0ms (0.5%)

series111.0ms (3.8%)

simplify82.0ms (2.9%)

prune37.0ms (1.3%)

localize5.0ms (0.2%)

rewrite16.0ms (0.6%)

series159.0ms (5.5%)

simplify80.0ms (2.8%)

prune36.0ms (1.2%)

localize9.0ms (0.3%)

rewrite55.0ms (1.9%)

series325.0ms (11.2%)

simplify110.0ms (3.8%)

prune307.0ms (10.6%)

regimes54.0ms (1.9%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.3s (43.4%)

Profiling