Details

analyze1.4s (16.7%)

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)

sample150.0ms (1.8%)

Algorithm

1×

intervals

Results

97.0ms	134×	body	1024	valid
21.0ms	66×	body	512	valid
13.0ms	14×	body	2048	valid
5.0ms	256×	pre	128	true
4.0ms	23×	body	256	valid
1.0ms	19×	body	128	valid

Compiler

Compiled 25 to 22 computations (12% saved)

simplify178.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	38	14
1	38	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: 61.8b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
4.8b	(log.f64 (-.f64 1 x))
5.1b	(log.f64 (+.f64 1 x))

rewrite21.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`*-un-lft-identity_binary64_767`
18×	`add-sqr-sqrt_binary64_789`
16×	`times-frac_binary64_773`
15×	`pow1_binary64_828` `add-cube-cbrt_binary64_802`
12×	`log-pow_binary64_856`
10×	`log-prod_binary64_853`
7×	`add-exp-log_binary64_805`
6×	`log-div_binary64_854`
5×	`add-cbrt-cube_binary64_803`
4×	`associate-/r_binary64_711` `associate-/l_binary64_712`
3×	`add-log-exp_binary64_806`
2×	`rem-log-exp_binary64_808` `flip--_binary64_742` `div-sub_binary64_772` `flip3--_binary64_771` `difference-of-squares_binary64_736`
1×	`frac-2neg_binary64_778` `distribute-lft-out_binary64_718` `cbrt-undiv_binary64_801` `flip-+_binary64_741` `distribute-lft-out--_binary64_719` `flip3-+_binary64_770` `div-exp_binary64_818` `clear-num_binary64_766` `div-inv_binary64_764`

Counts

3 → 70

Calls

3 calls:

7.0ms	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
4.0ms	(log.f64 (-.f64 1 x))
4.0ms	(log.f64 (+.f64 1 x))

series189.0ms (2.3%)

Counts

3 → 9

Calls

3 calls:

138.0ms	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
26.0ms	(log.f64 (-.f64 1 x))
26.0ms	(log.f64 (+.f64 1 x))

simplify53.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	4985	1554
1	4985	1554

prune133.0ms (1.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	76	3	79
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	76	4	80

Merged error: 0.0b

Counts

80 → 4

Compiler

Compiled 1912 to 1516 computations (20.7% saved)

localize5.0ms (0.1%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune3.0ms (0%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	1	1
Done	1	1
Total	4	4

Merged error: 0.0b

Counts

4 → 4

Compiler

Compiled 32 to 27 computations (15.6% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(cbrt.f64 (pow.f64 (/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x))) 3))
0.0b	(pow.f64 (/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x))) 3)
4.8b	(log.f64 (-.f64 1 x))
5.1b	(log.f64 (+.f64 1 x))

rewrite38.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

64×	`times-frac_binary64_773`
49×	`*-un-lft-identity_binary64_767`
47×	`add-sqr-sqrt_binary64_789`
46×	`cbrt-prod_binary64_798`
44×	`add-cube-cbrt_binary64_802`
40×	`cube-prod_binary64_795` `unpow-prod-down_binary64_846`
39×	`pow1_binary64_828`
34×	`log-pow_binary64_856`
10×	`log-prod_binary64_853`
9×	`add-exp-log_binary64_805`
7×	`add-cbrt-cube_binary64_803`
4×	`log-div_binary64_854` `add-log-exp_binary64_806` `div-inv_binary64_764`
3×	`pow-unpow_binary64_844`
2×	`sqr-pow_binary64_739` `pow-exp_binary64_835` `cube-mult_binary64_797` `rem-cube-cbrt_binary64_790` `cube-div_binary64_796` `rem-log-exp_binary64_808` `unpow3_binary64_833` `difference-of-squares_binary64_736`
1×	`pow-to-exp_binary64_836` `pow1/3_binary64_849` `distribute-lft-out_binary64_718` `cbrt-undiv_binary64_801` `flip-+_binary64_741` `distribute-lft-out--_binary64_719` `rem-cbrt-cube_binary64_791` `cbrt-div_binary64_799` `flip3-+_binary64_770` `flip--_binary64_742` `div-exp_binary64_818` `flip3--_binary64_771` `pow-pow_binary64_839`

Counts

4 → 148

Calls

4 calls:

8.0ms	(cbrt.f64 (pow.f64 (/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x))) 3))
7.0ms	(pow.f64 (/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x))) 3)
4.0ms	(log.f64 (-.f64 1 x))
4.0ms	(log.f64 (+.f64 1 x))

series598.0ms (7.3%)

Counts

4 → 12

Calls

4 calls:

420.0ms	(pow.f64 (/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x))) 3)
130.0ms	(cbrt.f64 (pow.f64 (/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x))) 3))
25.0ms	(log.f64 (+.f64 1 x))
23.0ms	(log.f64 (-.f64 1 x))

simplify74.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

160 → 160

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	4990	4179
1	4990	4179

prune215.0ms (2.6%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	160	0	160
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	160	4	164

Merged error: 0.0b

Counts

164 → 4

Compiler

Compiled 3382 to 2718 computations (19.6% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (log.f64 (-.f64 1 x)) (-.f64 (log.f64 (+.f64 1 (pow.f64 x 3))) (log.f64 (+.f64 1 (-.f64 (*.f64 x x) x)))))
1.5b	(log.f64 (+.f64 1 (pow.f64 x 3)))
4.8b	(log.f64 (+.f64 1 (-.f64 (*.f64 x x) x)))
4.8b	(log.f64 (-.f64 1 x))

rewrite41.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

48×	`*-un-lft-identity_binary64_767`
36×	`pow1_binary64_828`
34×	`add-sqr-sqrt_binary64_789`
32×	`times-frac_binary64_773` `log-pow_binary64_856`
21×	`distribute-lft-out--_binary64_719` `add-cube-cbrt_binary64_802`
14×	`log-prod_binary64_853`
9×	`add-exp-log_binary64_805`
8×	`log-div_binary64_854` `associate-/r*_binary64_711`
7×	`difference-of-squares_binary64_736`
6×	`add-cbrt-cube_binary64_803`
4×	`add-log-exp_binary64_806` `associate-/l*_binary64_712`
3×	`rem-log-exp_binary64_808` `flip--_binary64_742` `flip3--_binary64_771`
2×	`distribute-lft-out_binary64_718` `associate-/r/_binary64_713` `flip-+_binary64_741` `flip3-+_binary64_770` `div-sub_binary64_772`
1×	`frac-2neg_binary64_778` `cbrt-undiv_binary64_801` `div-exp_binary64_818` `clear-num_binary64_766` `div-inv_binary64_764`

Counts

4 → 107

Calls

4 calls:

11.0ms	(/.f64 (log.f64 (-.f64 1 x)) (-.f64 (log.f64 (+.f64 1 (pow.f64 x 3))) (log.f64 (+.f64 1 (-.f64 (*.f64 x x) x)))))
7.0ms	(log.f64 (+.f64 1 (-.f64 (*.f64 x x) x)))
6.0ms	(log.f64 (+.f64 1 (pow.f64 x 3)))
4.0ms	(log.f64 (-.f64 1 x))

series386.0ms (4.7%)

Counts

4 → 12

Calls

4 calls:

163.0ms	(/.f64 (log.f64 (-.f64 1 x)) (-.f64 (log.f64 (+.f64 1 (pow.f64 x 3))) (log.f64 (+.f64 1 (-.f64 (*.f64 x x) x)))))
159.0ms	(log.f64 (+.f64 1 (pow.f64 x 3)))
36.0ms	(log.f64 (+.f64 1 (-.f64 (*.f64 x x) x)))
29.0ms	(log.f64 (-.f64 1 x))

simplify79.0ms (1%)

Algorithm

1×	egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4907	3776
1	4907	3776

prune197.0ms (2.4%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	118	1	119
Fresh	0	0	0
Picked	1	0	1
Done	0	3	3
Total	119	4	123

Merged error: 0.0b

Counts

123 → 4

Compiler

Compiled 3708 to 2516 computations (32.1% saved)

regimes31.0ms (0.4%)

Compiler: Compiled 181 to 151 computations (16.6% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	53	13
1	53	13

end0.0ms (0%)

sample4.4s (53.8%)

Algorithm

1×

intervals

Results

2.7s	3980×	body	1024	valid
634.0ms	1957×	body	512	valid
364.0ms	390×	body	2048	valid
163.0ms	1016×	body	256	valid
154.0ms	8000×	pre	128	true
47.0ms	657×	body	128	valid

Compiler

Compiled 102 to 83 computations (18.6% saved)

Details

analyze1.4s (16.7%)

sample150.0ms (1.8%)

simplify178.0ms (2.2%)

prune2.0ms (0%)

localize7.0ms (0.1%)

rewrite21.0ms (0.3%)

series189.0ms (2.3%)

simplify53.0ms (0.6%)

prune133.0ms (1.6%)

localize5.0ms (0.1%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify8.0ms (0.1%)

prune3.0ms (0%)

localize10.0ms (0.1%)

rewrite38.0ms (0.5%)

series598.0ms (7.3%)

simplify74.0ms (0.9%)

prune215.0ms (2.6%)

localize14.0ms (0.2%)

rewrite41.0ms (0.5%)

series386.0ms (4.7%)

simplify79.0ms (1%)

prune197.0ms (2.4%)

regimes31.0ms (0.4%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample4.4s (53.8%)

Profiling