Details

analyze1.3s (17%)

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)

sample143.0ms (1.8%)

Algorithm

1×

intervals

Results

94.0ms	132×	body	1024	valid
19.0ms	61×	body	512	valid
10.0ms	10×	body	2048	valid
5.0ms	35×	body	256	valid
5.0ms	256×	pre	128	true
1.0ms	18×	body	128	valid

Compiler

Compiled 25 to 22 computations (12% saved)

simplify169.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	38	14
1	38	14

prune3.0ms (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: 61.6b

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)))
6.6b	(log.f64 (+.f64 1 x))
6.7b	(log.f64 (-.f64 1 x))

rewrite26.0ms (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:

11.0ms	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
5.0ms	(log.f64 (-.f64 1 x))
4.0ms	(log.f64 (+.f64 1 x))

series186.0ms (2.4%)

Counts

3 → 9

Calls

3 calls:

136.0ms	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
26.0ms	(log.f64 (-.f64 1 x))
24.0ms	(log.f64 (+.f64 1 x))

simplify56.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	4985	1554
1	4985	1554

prune167.0ms (2.1%)

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: 0.0b

Counts

80 → 3

Compiler

Compiled 2319 to 1856 computations (20% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite8.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-exp-log_binary64_805` `pow1_binary64_828` `add-cbrt-cube_binary64_803`
3×	`associate-r_binary64_707` `cbrt-unprod_binary64_800` `prod-exp_binary64_816` `add-sqr-sqrt_binary64_789` `pow-prod-down_binary64_838`
2×	`*-un-lft-identity_binary64_767` `add-cube-cbrt_binary64_802`
1×	`associate-l_binary64_708` `unswap-sqr_binary64_735` `*-commutative_binary64_698` `add-log-exp_binary64_806`

Counts

1 → 19

Calls

1 calls:

6.0ms

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

series42.0ms (0.5%)

Counts

1 → 3

Calls

1 calls:

41.0ms

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

simplify84.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

22 → 22

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	4882	181
1	4882	181

prune21.0ms (0.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	21	1	22
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	21	4	25

Merged error: 0b

Counts

25 → 4

Compiler

Compiled 327 to 232 computations (29.1% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(pow.f64 (sqrt.f64 (exp.f64 x)) x)
2.2b	(log.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x))

rewrite12.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`unpow-prod-down_binary64_846`
10×	`log-prod_binary64_853`
9×	`add-sqr-sqrt_binary64_789` `*-un-lft-identity_binary64_767` `add-cube-cbrt_binary64_802`
6×	`sqrt-prod_binary64_783` `pow-pow_binary64_839`
5×	`add-exp-log_binary64_805`
4×	`pow1_binary64_828` `sqrt-pow1_binary64_785`
3×	`exp-prod_binary64_819` `pow-unpow_binary64_844` `rem-log-exp_binary64_808`
2×	`pow-to-exp_binary64_836` `sqr-pow_binary64_739` `pow-exp_binary64_835` `add-log-exp_binary64_806` `add-cbrt-cube_binary64_803`
1×	`log-pow_binary64_856` `pow1/2_binary64_847` `sqrt-pow2_binary64_786`

Counts

2 → 47

Calls

2 calls:

5.0ms	(pow.f64 (sqrt.f64 (exp.f64 x)) x)
4.0ms	(log.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x))

series333.0ms (4.2%)

Counts

2 → 6

Calls

2 calls:

289.0ms	(log.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x))
43.0ms	(pow.f64 (sqrt.f64 (exp.f64 x)) x)

simplify120.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 0 (108.0ms)

Iter	Nodes	Cost
0	4912	572
1	4912	572

prune41.0ms (0.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	53	0	53
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	53	4	57

Merged error: 0b

Counts

57 → 4

Compiler

Compiled 751 to 422 computations (43.8% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 1 (/.f64 (log.f64 (+.f64 1 x)) (log.f64 (-.f64 1 x))))
0.0b	(/.f64 (log.f64 (+.f64 1 x)) (log.f64 (-.f64 1 x)))
6.6b	(log.f64 (+.f64 1 x))
6.7b	(log.f64 (-.f64 1 x))

rewrite43.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

140×	`times-frac_binary64_773`
78×	`*-un-lft-identity_binary64_767`
76×	`add-sqr-sqrt_binary64_789`
73×	`add-cube-cbrt_binary64_802`
49×	`pow1_binary64_828`
44×	`log-pow_binary64_856`
24×	`associate-/r*_binary64_711`
19×	`add-exp-log_binary64_805`
11×	`add-cbrt-cube_binary64_803`
10×	`log-prod_binary64_853`
8×	`div-exp_binary64_818`
7×	`associate-/l*_binary64_712`
6×	`log-div_binary64_854` `div-inv_binary64_764`
4×	`cbrt-undiv_binary64_801` `add-log-exp_binary64_806`
2×	`frac-2neg_binary64_778` `1-exp_binary64_811` `flip-+_binary64_741` `rem-log-exp_binary64_808` `rec-exp_binary64_817` `flip3-+_binary64_770` `div-sub_binary64_772` `clear-num_binary64_766` `difference-of-squares_binary64_736`
1×	`distribute-lft-out_binary64_718` `associate-/r/_binary64_713` `pow-flip_binary64_841` `distribute-lft-out--_binary64_719` `flip--_binary64_742` `flip3--_binary64_771` `inv-pow_binary64_852`

Counts

4 → 174

Calls

4 calls:

8.0ms	(/.f64 1 (/.f64 (log.f64 (+.f64 1 x)) (log.f64 (-.f64 1 x))))
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))

series301.0ms (3.8%)

Counts

4 → 12

Calls

4 calls:

126.0ms	(/.f64 (log.f64 (+.f64 1 x)) (log.f64 (-.f64 1 x)))
125.0ms	(/.f64 1 (/.f64 (log.f64 (+.f64 1 x)) (log.f64 (-.f64 1 x))))
27.0ms	(log.f64 (-.f64 1 x))
22.0ms	(log.f64 (+.f64 1 x))

simplify89.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

186 → 186

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5223	4578

prune244.0ms (3.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	185	1	186
Fresh	0	1	1
Picked	0	1	1
Done	2	0	2
Total	187	3	190

Merged error: 0b

Counts

190 → 3

Compiler

Compiled 3790 to 3084 computations (18.6% saved)

regimes9.0ms (0.1%)

Compiler: Compiled 33 to 29 computations (12.1% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	44	13
1	44	13

end0.0ms (0%)

sample4.4s (55.9%)

Algorithm

1×

intervals

Results

2.7s	3954×	body	1024	valid
642.0ms	1992×	body	512	valid
364.0ms	397×	body	2048	valid
165.0ms	1034×	body	256	valid
151.0ms	8000×	pre	128	true
44.0ms	623×	body	128	valid

Compiler

Compiled 72 to 61 computations (15.3% saved)

Details

analyze1.3s (17%)

sample143.0ms (1.8%)

simplify169.0ms (2.2%)

prune3.0ms (0%)

localize7.0ms (0.1%)

rewrite26.0ms (0.3%)

series186.0ms (2.4%)

simplify56.0ms (0.7%)

prune167.0ms (2.1%)

localize5.0ms (0.1%)

rewrite8.0ms (0.1%)

series42.0ms (0.5%)

simplify84.0ms (1.1%)

prune21.0ms (0.3%)

localize8.0ms (0.1%)

rewrite12.0ms (0.2%)

series333.0ms (4.2%)

simplify120.0ms (1.5%)

prune41.0ms (0.5%)

localize11.0ms (0.1%)

rewrite43.0ms (0.5%)

series301.0ms (3.8%)

simplify89.0ms (1.1%)

prune244.0ms (3.1%)

regimes9.0ms (0.1%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample4.4s (55.9%)

Profiling