Details

analyze1.3s (19%)

Algorithm

1×

Search

True	Other	False	Iter
0%	50%	50%	0
0%	50%	50%	1
0%	50%	50%	2
0%	50%	50%	3
0%	50%	50%	4
3.1%	46.8%	50%	5
4.7%	45.3%	50%	6
5.5%	44.5%	50%	7
5.9%	44.1%	50%	8
6%	43.9%	50%	9
6.1%	43.8%	50%	10
6.2%	43.8%	50%	11
6.2%	43.7%	50%	12
6.2%	43.7%	50%	13
6.2%	43.7%	50%	14

Compiler

Compiled 16 to 13 computations (18.8% saved)

sample136.0ms (2%)

Algorithm

1×

intervals

Results

95.0ms	150×	body	1024	valid
15.0ms	49×	body	512	valid
7.0ms	8×	body	2048	valid
5.0ms	34×	body	256	valid
5.0ms	256×	pre	128	true
1.0ms	15×	body	128	valid

Compiler

Compiled 25 to 22 computations (12% saved)

simplify96.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	45	14
1	45	14

prune2.0ms (0%)

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: 62.2b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
5.7b	(log.f64 (-.f64 1 x))
5.7b	(log.f64 (+.f64 1 x))

rewrite18.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`*-un-lft-identity_binary64_760`
18×	`add-sqr-sqrt_binary64_782`
16×	`times-frac_binary64_766`
15×	`add-cube-cbrt_binary64_795` `pow1_binary64_821`
12×	`log-pow_binary64_849`
10×	`log-prod_binary64_846`
7×	`add-exp-log_binary64_798`
6×	`log-div_binary64_847`
5×	`add-cbrt-cube_binary64_796`
4×	`associate-/r_binary64_704` `associate-/l_binary64_705`
3×	`add-log-exp_binary64_799`
2×	`difference-of-squares_binary64_729` `div-sub_binary64_765` `rem-log-exp_binary64_801` `flip--_binary64_735` `flip3--_binary64_764`
1×	`frac-2neg_binary64_771` `cbrt-undiv_binary64_794` `distribute-lft-out_binary64_711` `flip3-+_binary64_763` `div-inv_binary64_757` `flip-+_binary64_734` `distribute-lft-out--_binary64_712` `div-exp_binary64_811` `clear-num_binary64_759`

Counts

3 → 70

Calls

3 calls:

7.0ms	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
3.0ms	(log.f64 (-.f64 1 x))
3.0ms	(log.f64 (+.f64 1 x))

series95.0ms (1.4%)

Counts

3 → 9

Calls

3 calls:

69.0ms	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
13.0ms	(log.f64 (-.f64 1 x))
13.0ms	(log.f64 (+.f64 1 x))

simplify58.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5149	1554

prune93.0ms (1.4%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	76	3	79
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	77	3	80

Merged error: 0.1b

Counts

80 → 3

Compiler

Compiled 1371 to 1057 computations (22.9% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(.f64 (.f64 x x) 1/2)

rewrite7.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796` `pow1_binary64_821`
3×	`prod-exp_binary64_809` `associate-r_binary64_700` `cbrt-unprod_binary64_793` `pow-prod-down_binary64_831` `add-sqr-sqrt_binary64_782`
2×	`*-un-lft-identity_binary64_760` `add-cube-cbrt_binary64_795`
1×	`unswap-sqr_binary64_728` `add-log-exp_binary64_799` `associate-l_binary64_701` `*-commutative_binary64_691`

Counts

1 → 19

Calls

1 calls:

6.0ms

(*.f64 (*.f64 x x) 1/2)

series19.0ms (0.3%)

Counts

1 → 3

Calls

1 calls:

19.0ms

(*.f64 (*.f64 x x) 1/2)

simplify54.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

22 → 22

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5001	181

prune16.0ms (0.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	22	0	22
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	22	3	25

Merged error: 0.1b

Counts

25 → 3

Compiler

Compiled 279 to 191 computations (31.5% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(pow.f64 (log.f64 (+.f64 1 x)) 3)
0.1b	(cbrt.f64 (pow.f64 (log.f64 (+.f64 1 x)) 3))
5.7b	(log.f64 (-.f64 1 x))
5.7b	(log.f64 (+.f64 1 x))

rewrite17.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`*-un-lft-identity_binary64_760`
15×	`add-sqr-sqrt_binary64_782`
14×	`cbrt-prod_binary64_791`
12×	`add-cube-cbrt_binary64_795`
11×	`pow1_binary64_821`
10×	`log-prod_binary64_846`
8×	`cube-prod_binary64_788` `unpow-prod-down_binary64_839`
7×	`add-exp-log_binary64_798`
6×	`log-pow_binary64_849`
5×	`add-cbrt-cube_binary64_796`
4×	`log-div_binary64_847` `add-log-exp_binary64_799`
3×	`pow-unpow_binary64_837`
2×	`cube-mult_binary64_790` `unpow3_binary64_826` `difference-of-squares_binary64_729` `rem-log-exp_binary64_801` `sqr-pow_binary64_732`
1×	`pow1/3_binary64_842` `rem-cbrt-cube_binary64_784` `distribute-lft-out_binary64_711` `flip3-+_binary64_763` `pow-exp_binary64_828` `rem-cube-cbrt_binary64_783` `flip-+_binary64_734` `pow-to-exp_binary64_829` `distribute-lft-out--_binary64_712` `flip--_binary64_735` `pow-pow_binary64_832` `flip3--_binary64_764`

Counts

4 → 80

Calls

4 calls:

3.0ms	(log.f64 (-.f64 1 x))
3.0ms	(log.f64 (+.f64 1 x))
3.0ms	(pow.f64 (log.f64 (+.f64 1 x)) 3)
2.0ms	(cbrt.f64 (pow.f64 (log.f64 (+.f64 1 x)) 3))

series86.0ms (1.2%)

Counts

4 → 12

Calls

4 calls:

46.0ms	(pow.f64 (log.f64 (+.f64 1 x)) 3)
13.0ms	(log.f64 (+.f64 1 x))
13.0ms	(log.f64 (-.f64 1 x))
13.0ms	(cbrt.f64 (pow.f64 (log.f64 (+.f64 1 x)) 3))

simplify66.0ms (1%)

Algorithm

1×	egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4930	1319
1	4930	1319

prune94.0ms (1.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	92	0	92
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	92	3	95

Merged error: 0.1b

Counts

95 → 3

Compiler

Compiled 1649 to 1334 computations (19.1% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (log.f64 (-.f64 1 (*.f64 x x))) (log.f64 (+.f64 1 x)))
2.0b	(log.f64 (-.f64 1 (*.f64 x x)))
5.7b	(log.f64 (+.f64 1 x))

rewrite20.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`*-un-lft-identity_binary64_760`
16×	`times-frac_binary64_766` `add-sqr-sqrt_binary64_782`
15×	`add-cube-cbrt_binary64_795` `pow1_binary64_821`
12×	`log-pow_binary64_849`
9×	`log-prod_binary64_846`
7×	`add-exp-log_binary64_798`
6×	`log-div_binary64_847`
5×	`add-cbrt-cube_binary64_796`
4×	`associate-/r_binary64_704` `associate-/l_binary64_705`
3×	`add-log-exp_binary64_799`
2×	`difference-of-squares_binary64_729` `div-sub_binary64_765` `rem-log-exp_binary64_801` `flip--_binary64_735` `flip3--_binary64_764`
1×	`frac-2neg_binary64_771` `cbrt-undiv_binary64_794` `distribute-lft-out_binary64_711` `flip3-+_binary64_763` `div-inv_binary64_757` `flip-+_binary64_734` `div-exp_binary64_811` `clear-num_binary64_759`

Counts

3 → 69

Calls

3 calls:

6.0ms	(/.f64 (log.f64 (-.f64 1 (*.f64 x x))) (log.f64 (+.f64 1 x)))
3.0ms	(log.f64 (+.f64 1 x))
3.0ms	(log.f64 (-.f64 1 (*.f64 x x)))

series131.0ms (1.9%)

Counts

3 → 9

Calls

3 calls:

79.0ms	(/.f64 (log.f64 (-.f64 1 (*.f64 x x))) (log.f64 (+.f64 1 x)))
38.0ms	(log.f64 (-.f64 1 (*.f64 x x)))
13.0ms	(log.f64 (+.f64 1 x))

simplify60.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5007	1819

prune87.0ms (1.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	77	1	78
Fresh	0	0	0
Picked	1	0	1
Done	1	1	2
Total	79	2	81

Merged error: 0b

Counts

81 → 2

Compiler

Compiled 1716 to 1225 computations (28.6% saved)

regimes61.0ms (0.9%)

Compiler: Compiled 602 to 506 computations (15.9% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	132	19
1	132	19

end0.0ms (0%)

sample4.4s (62.9%)

Algorithm

1×

intervals

Results

2.5s	3981×	body	1024	valid
627.0ms	2007×	body	512	valid
329.0ms	388×	body	2048	valid
159.0ms	1011×	body	256	valid
152.0ms	8000×	pre	128	true
41.0ms	613×	body	128	valid

Compiler

Compiled 336 to 281 computations (16.4% saved)

Details

analyze1.3s (19%)

sample136.0ms (2%)

simplify96.0ms (1.4%)

prune2.0ms (0%)

localize6.0ms (0.1%)

rewrite18.0ms (0.3%)

series95.0ms (1.4%)

simplify58.0ms (0.8%)

prune93.0ms (1.4%)

localize5.0ms (0.1%)

rewrite7.0ms (0.1%)

series19.0ms (0.3%)

simplify54.0ms (0.8%)

prune16.0ms (0.2%)

localize8.0ms (0.1%)

rewrite17.0ms (0.3%)

series86.0ms (1.2%)

simplify66.0ms (1%)

prune94.0ms (1.4%)

localize8.0ms (0.1%)

rewrite20.0ms (0.3%)

series131.0ms (1.9%)

simplify60.0ms (0.9%)

prune87.0ms (1.3%)

regimes61.0ms (0.9%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample4.4s (62.9%)

Profiling